Datasets:
Parallel-Reasoning
/
sosp_sft_data

Dataset card Data Studio Files
xet
Community
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
search_path
stringlengths
505
16.8k
rating
float64
0
0.99
search_type
stringclasses
5 values
heuristic
stringclasses
2 values
[ 31, 22, 93, 11 ]
51
[ "31+22=53", "93+11=104", "104-53=51" ]
Current State: 51:[31, 22, 93, 11], Operations: [] Exploring Operation: 31+22=53, Resulting Numbers: [93, 11, 53] Generated Node #2: [93, 11, 53] from Operation: 31+22=53 Current State: 51:[93, 11, 53], Operations: ['31+22=53'] Exploring Operation: 93+11=104, Resulting Numbers: [53, 104] Generated Node #3: [53, 104] from Operation: 93+11=104 Current State: 51:[53, 104], Operations: ['31+22=53', '93+11=104'] Exploring Operation: 104-53=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[31, 22, 93, 11], Operations: [] Exploring Operation: 93/31=3, Resulting Numbers: [22, 11, 3] Generated Node #0,0: 51:[22, 11, 3] Operation: 93/31=3 Moving to Node #0,0 Current State: 51:[22, 11, 3], Operations: ['93/31=3'] Exploring Operation: 22/11=2, Resulting Numbers: [3, 2] Generated Node #0,0,0: 51:[3, 2] Operation: 22/11=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 51:[3, 2], Operations: ['93/31=3', '22/11=2'] Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 2, 89, 65, 51 ]
26
[ "89+65=154", "154/2=77", "77-51=26" ]
Current State: 26:[2, 89, 65, 51], Operations: [] Exploring Operation: 89+65=154, Resulting Numbers: [2, 51, 154] Generated Node #2: [2, 51, 154] from Operation: 89+65=154 Current State: 26:[2, 51, 154], Operations: ['89+65=154'] Exploring Operation: 154/2=77, Resulting Numbers: [51, 77] Generated Node #3: [51, 77] from Operation: 154/2=77 Current State: 26:[51, 77], Operations: ['89+65=154', '154/2=77'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[2, 89, 65, 51], Operations: [] Exploring Operation: 89-51=38, Resulting Numbers: [2, 65, 38] Generated Node #0,0: 26:[2, 65, 38] Operation: 89-51=38 Exploring Operation: 65-2=63, Resulting Numbers: [89, 51, 63] Generated Node #0,1: 26:[89, 51, 63] Operation: 65-2=63 Exploring Operation: 65-51=14, Resulting Numbers: [2, 89, 14] Generated Node #0,2: 26:[2, 89, 14] Operation: 65-51=14 Exploring Operation: 89-65=24, Resulting Numbers: [2, 51, 24] Generated Node #0,3: 26:[2, 51, 24] Operation: 89-65=24 Exploring Operation: 89-2=87, Resulting Numbers: [65, 51, 87] Generated Node #0,4: 26:[65, 51, 87] Operation: 89-2=87 Start Sub Search at level 1: Moving to Node #0,3 Current State: 26:[2, 51, 24], Operations: ['89-65=24'] Exploring Operation: 51-24=27, Resulting Numbers: [2, 27] Generated Node #0,3,0: 26:[2, 27] Operation: 51-24=27 Exploring Operation: 2+24=26, Resulting Numbers: [51, 26] Generated Node #0,3,1: 26:[51, 26] Operation: 2+24=26 Exploring Operation: 24/2=12, Resulting Numbers: [51, 12] Generated Node #0,3,2: 26:[51, 12] Operation: 24/2=12 Exploring Operation: 2+51=53, Resulting Numbers: [24, 53] Generated Node #0,3,3: 26:[24, 53] Operation: 2+51=53 Exploring Operation: 51-2=49, Resulting Numbers: [24, 49] Generated Node #0,3,4: 26:[24, 49] Operation: 51-2=49 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 26:[2, 27], Operations: ['89-65=24', '51-24=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,26 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,26 unequal: No Solution Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 26:[51, 26], Operations: ['89-65=24', '2+24=26'] Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,26 unequal: No Solution Exploring Operation: 51*26=1326, Resulting Numbers: [1326] 1326,26 unequal: No Solution Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 26:[24, 49], Operations: ['89-65=24', '51-2=49'] Exploring Operation: 24*49=1176, Resulting Numbers: [1176] 1176,26 unequal: No Solution Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,26 unequal: No Solution Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 26:[51, 12], Operations: ['89-65=24', '24/2=12'] Exploring Operation: 51+12=63, Resulting Numbers: [63] 63,26 unequal: No Solution Exploring Operation: 51*12=612, Resulting Numbers: [612] 612,26 unequal: No Solution Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 26:[24, 53], Operations: ['89-65=24', '2+51=53'] Exploring Operation: 24+53=77, Resulting Numbers: [77] 77,26 unequal: No Solution Exploring Operation: 24*53=1272, Resulting Numbers: [1272] 1272,26 unequal: No Solution Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 26:[2, 65, 38], Operations: ['89-51=38'] Exploring Operation: 2+65=67, Resulting Numbers: [38, 67] Generated Node #0,0,0: 26:[38, 67] Operation: 2+65=67 Exploring Operation: 65-2=63, Resulting Numbers: [38, 63] Generated Node #0,0,1: 26:[38, 63] Operation: 65-2=63 Exploring Operation: 38-2=36, Resulting Numbers: [65, 36] Generated Node #0,0,2: 26:[65, 36] Operation: 38-2=36 Exploring Operation: 65-38=27, Resulting Numbers: [2, 27] Generated Node #0,0,3: 26:[2, 27] Operation: 65-38=27 Exploring Operation: 38/2=19, Resulting Numbers: [65, 19] Generated Node #0,0,4: 26:[65, 19] Operation: 38/2=19 Moving to Node #0,0,3 Current State: 26:[2, 27], Operations: ['89-51=38', '65-38=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,26 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,26 unequal: No Solution Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,26 unequal: No Solution Moving to Node #0,0,4 Current State: 26:[65, 19], Operations: ['89-51=38', '38/2=19'] Exploring Operation: 65*19=1235, Resulting Numbers: [1235] 1235,26 unequal: No Solution Exploring Operation: 65-19=46, Resulting Numbers: [46] 46,26 unequal: No Solution Exploring Operation: 65+19=84, Resulting Numbers: [84] 84,26 unequal: No Solution Moving to Node #0,0,1 Current State: 26:[38, 63], Operations: ['89-51=38', '65-2=63'] Exploring Operation: 38*63=2394, Resulting Numbers: [2394] 2394,26 unequal: No Solution Exploring Operation: 38+63=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,26 unequal: No Solution Moving to Node #0,0,2 Current State: 26:[65, 36], Operations: ['89-51=38', '38-2=36'] Exploring Operation: 65*36=2340, Resulting Numbers: [2340] 2340,26 unequal: No Solution Exploring Operation: 65+36=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,26 unequal: No Solution Moving to Node #0,0,0 Current State: 26:[38, 67], Operations: ['89-51=38', '2+65=67'] Exploring Operation: 38+67=105, Resulting Numbers: [105] 105,26 unequal: No Solution Exploring Operation: 67-38=29, Resulting Numbers: [29] 29,26 unequal: No Solution Exploring Operation: 38*67=2546, Resulting Numbers: [2546] 2546,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 26:[2, 89, 14], Operations: ['65-51=14'] Exploring Operation: 2*14=28, Resulting Numbers: [89, 28] Generated Node #0,2,0: 26:[89, 28] Operation: 2*14=28 Exploring Operation: 89-14=75, Resulting Numbers: [2, 75] Generated Node #0,2,1: 26:[2, 75] Operation: 89-14=75 Exploring Operation: 89-2=87, Resulting Numbers: [14, 87] Generated Node #0,2,2: 26:[14, 87] Operation: 89-2=87 Exploring Operation: 14-2=12, Resulting Numbers: [89, 12] Generated Node #0,2,3: 26:[89, 12] Operation: 14-2=12 Exploring Operation: 2+89=91, Resulting Numbers: [14, 91] Generated Node #0,2,4: 26:[14, 91] Operation: 2+89=91 Moving to Node #0,2,1 Current State: 26:[2, 75], Operations: ['65-51=14', '89-14=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,26 unequal: No Solution Exploring Operation: 2*75=150, Resulting Numbers: [150] 150,26 unequal: No Solution Exploring Operation: 2+75=77, Resulting Numbers: [77] 77,26 unequal: No Solution Moving to Node #0,2,2 Current State: 26:[14, 87], Operations: ['65-51=14', '89-2=87'] Exploring Operation: 14*87=1218, Resulting Numbers: [1218] 1218,26 unequal: No Solution Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,26 unequal: No Solution Exploring Operation: 14+87=101, Resulting Numbers: [101] 101,26 unequal: No Solution Moving to Node #0,2,3 Current State: 26:[89, 12], Operations: ['65-51=14', '14-2=12'] Exploring Operation: 89*12=1068, Resulting Numbers: [1068] 1068,26 unequal: No Solution Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,26 unequal: No Solution Exploring Operation: 89+12=101, Resulting Numbers: [101] 101,26 unequal: No Solution Moving to Node #0,2,0 Current State: 26:[89, 28], Operations: ['65-51=14', '2*14=28'] Exploring Operation: 89+28=117, Resulting Numbers: [117] 117,26 unequal: No Solution Exploring Operation: 89-28=61, Resulting Numbers: [61] 61,26 unequal: No Solution Exploring Operation: 89*28=2492, Resulting Numbers: [2492] 2492,26 unequal: No Solution Moving to Node #0,2,4 Current State: 26:[14, 91], Operations: ['65-51=14', '2+89=91'] Exploring Operation: 91-14=77, Resulting Numbers: [77] 77,26 unequal: No Solution Exploring Operation: 14+91=105, Resulting Numbers: [105] 105,26 unequal: No Solution Exploring Operation: 14*91=1274, Resulting Numbers: [1274] 1274,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 26:[89, 51, 63], Operations: ['65-2=63'] Exploring Operation: 89-51=38, Resulting Numbers: [63, 38] Generated Node #0,1,0: 26:[63, 38] Operation: 89-51=38 Exploring Operation: 89+63=152, Resulting Numbers: [51, 152] Generated Node #0,1,1: 26:[51, 152] Operation: 89+63=152 Exploring Operation: 89-63=26, Resulting Numbers: [51, 26] Generated Node #0,1,2: 26:[51, 26] Operation: 89-63=26 Exploring Operation: 89+51=140, Resulting Numbers: [63, 140] Generated Node #0,1,3: 26:[63, 140] Operation: 89+51=140 Exploring Operation: 63-51=12, Resulting Numbers: [89, 12] Generated Node #0,1,4: 26:[89, 12] Operation: 63-51=12 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 26:[51, 26], Operations: ['65-2=63', '89-63=26'] Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,26 unequal: No Solution Exploring Operation: 51*26=1326, Resulting Numbers: [1326] 1326,26 unequal: No Solution Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 26:[63, 38], Operations: ['65-2=63', '89-51=38'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,26 unequal: No Solution Exploring Operation: 63+38=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 63*38=2394, Resulting Numbers: [2394] 2394,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 26:[89, 12], Operations: ['65-2=63', '63-51=12'] Exploring Operation: 89*12=1068, Resulting Numbers: [1068] 1068,26 unequal: No Solution Exploring Operation: 89+12=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 26:[51, 152], Operations: ['65-2=63', '89+63=152'] Exploring Operation: 152-51=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 51*152=7752, Resulting Numbers: [7752] 7752,26 unequal: No Solution Exploring Operation: 51+152=203, Resulting Numbers: [203] 203,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 26:[63, 140], Operations: ['65-2=63', '89+51=140'] Exploring Operation: 140-63=77, Resulting Numbers: [77] 77,26 unequal: No Solution Exploring Operation: 63*140=8820, Resulting Numbers: [8820] 8820,26 unequal: No Solution Exploring Operation: 63+140=203, Resulting Numbers: [203] 203,26 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 26:[65, 51, 87], Operations: ['89-2=87'] Exploring Operation: 65+51=116, Resulting Numbers: [87, 116] Generated Node #0,4,0: 26:[87, 116] Operation: 65+51=116 Exploring Operation: 87-51=36, Resulting Numbers: [65, 36] Generated Node #0,4,1: 26:[65, 36] Operation: 87-51=36 Exploring Operation: 87-65=22, Resulting Numbers: [51, 22] Generated Node #0,4,2: 26:[51, 22] Operation: 87-65=22 Exploring Operation: 65-51=14, Resulting Numbers: [87, 14] Generated Node #0,4,3: 26:[87, 14] Operation: 65-51=14 Exploring Operation: 65+87=152, Resulting Numbers: [51, 152] Generated Node #0,4,4: 26:[51, 152] Operation: 65+87=152 Moving to Node #0,4,2 Current State: 26:[51, 22], Operations: ['89-2=87', '87-65=22'] Exploring Operation: 51*22=1122, Resulting Numbers: [1122] 1122,26 unequal: No Solution Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,26 unequal: No Solution Exploring Operation: 51+22=73, Resulting Numbers: [73] 73,26 unequal: No Solution Moving to Node #0,4,1 Current State: 26:[65, 36], Operations: ['89-2=87', '87-51=36'] Exploring Operation: 65*36=2340, Resulting Numbers: [2340] 2340,26 unequal: No Solution Exploring Operation: 65+36=101, Resulting Numbers: [101] 101,26 unequal: No Solution Exploring Operation: 65-36=29, Resulting Numbers: [29] 29,26 unequal: No Solution Moving to Node #0,4,3 Current State: 26:[87, 14], Operations: ['89-2=87', '65-51=14'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,26 unequal: No Solution Exploring Operation: 87*14=1218, Resulting Numbers: [1218] 1218,26 unequal: No Solution Exploring Operation: 87+14=101, Resulting Numbers: [101] 101,26 unequal: No Solution Moving to Node #0,4,0 Current State: 26:[87, 116], Operations: ['89-2=87', '65+51=116'] Exploring Operation: 116-87=29, Resulting Numbers: [29] 29,26 unequal: No Solution Exploring Operation: 87*116=10092, Resulting Numbers: [10092] 10092,26 unequal: No Solution Exploring Operation: 87+116=203, Resulting Numbers: [203] 203,26 unequal: No Solution Moving to Node #0,4,4 Current State: 26:[51, 152], Operations: ['89-2=87', '65+87=152'] Exploring Operation: 51*152=7752, Resulting Numbers: [7752] 7752,26 unequal: No Solution Exploring Operation: 51+152=203, Resulting Numbers: [203] 203,26 unequal: No Solution Exploring Operation: 152-51=101, Resulting Numbers: [101] 101,26 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 95, 92, 31, 2 ]
29
[ "95+31=126", "126/2=63", "92-63=29" ]
Current State: 29:[95, 92, 31, 2], Operations: [] Exploring Operation: 95+31=126, Resulting Numbers: [92, 2, 126] Generated Node #2: [92, 2, 126] from Operation: 95+31=126 Current State: 29:[92, 2, 126], Operations: ['95+31=126'] Exploring Operation: 126/2=63, Resulting Numbers: [92, 63] Generated Node #3: [92, 63] from Operation: 126/2=63 Current State: 29:[92, 63], Operations: ['95+31=126', '126/2=63'] Exploring Operation: 92-63=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[95, 92, 31, 2], Operations: [] Exploring Operation: 95-92=3, Resulting Numbers: [31, 2, 3] Generated Node #0,0: 29:[31, 2, 3] Operation: 95-92=3 Exploring Operation: 92/2=46, Resulting Numbers: [95, 31, 46] Generated Node #0,1: 29:[95, 31, 46] Operation: 92/2=46 Exploring Operation: 95-31=64, Resulting Numbers: [92, 2, 64] Generated Node #0,2: 29:[92, 2, 64] Operation: 95-31=64 Moving to Node #0,0 Current State: 29:[31, 2, 3], Operations: ['95-92=3'] Exploring Operation: 2+3=5, Resulting Numbers: [31, 5] Generated Node #0,0,0: 29:[31, 5] Operation: 2+3=5 Exploring Operation: 2*3=6, Resulting Numbers: [31, 6] Generated Node #0,0,1: 29:[31, 6] Operation: 2*3=6 Exploring Operation: 31-2=29, Resulting Numbers: [3, 29] Generated Node #0,0,2: 29:[3, 29] Operation: 31-2=29 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 29:[31, 6], Operations: ['95-92=3', '2*3=6'] Exploring Operation: 31-6=25, Resulting Numbers: [25] 25,29 unequal: No Solution Exploring Operation: 31*6=186, Resulting Numbers: [186] 186,29 unequal: No Solution Exploring Operation: 31+6=37, Resulting Numbers: [37] 37,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[31, 5], Operations: ['95-92=3', '2+3=5'] Exploring Operation: 31-5=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 31+5=36, Resulting Numbers: [36] 36,29 unequal: No Solution Exploring Operation: 31*5=155, Resulting Numbers: [155] 155,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 29:[3, 29], Operations: ['95-92=3', '31-2=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,29 unequal: No Solution Exploring Operation: 3*29=87, Resulting Numbers: [87] 87,29 unequal: No Solution Exploring Operation: 3+29=32, Resulting Numbers: [32] 32,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 29:[95, 31, 46], Operations: ['92/2=46'] Exploring Operation: 95-46=49, Resulting Numbers: [31, 49] Generated Node #0,1,0: 29:[31, 49] Operation: 95-46=49 Exploring Operation: 46-31=15, Resulting Numbers: [95, 15] Generated Node #0,1,1: 29:[95, 15] Operation: 46-31=15 Exploring Operation: 95-31=64, Resulting Numbers: [46, 64] Generated Node #0,1,2: 29:[46, 64] Operation: 95-31=64 Moving to Node #0,2 Current State: 29:[92, 2, 64], Operations: ['95-31=64'] Exploring Operation: 92-64=28, Resulting Numbers: [2, 28] Generated Node #0,2,0: 29:[2, 28] Operation: 92-64=28 Exploring Operation: 92/2=46, Resulting Numbers: [64, 46] Generated Node #0,2,1: 29:[64, 46] Operation: 92/2=46 Exploring Operation: 64/2=32, Resulting Numbers: [92, 32] Generated Node #0,2,2: 29:[92, 32] Operation: 64/2=32 Moving to Node #0,1,0 Current State: 29:[31, 49], Operations: ['92/2=46', '95-46=49'] Exploring Operation: 49-31=18, Resulting Numbers: [18] 18,29 unequal: No Solution Exploring Operation: 31*49=1519, Resulting Numbers: [1519] 1519,29 unequal: No Solution Exploring Operation: 31+49=80, Resulting Numbers: [80] 80,29 unequal: No Solution Moving to Node #0,2,0 Current State: 29:[2, 28], Operations: ['95-31=64', '92-64=28'] Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,29 unequal: No Solution Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,29 unequal: No Solution Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,29 unequal: No Solution Moving to Node #0,2,1 Current State: 29:[64, 46], Operations: ['95-31=64', '92/2=46'] Exploring Operation: 64*46=2944, Resulting Numbers: [2944] 2944,29 unequal: No Solution Exploring Operation: 64-46=18, Resulting Numbers: [18] 18,29 unequal: No Solution Exploring Operation: 64+46=110, Resulting Numbers: [110] 110,29 unequal: No Solution Moving to Node #0,1,2 Current State: 29:[46, 64], Operations: ['92/2=46', '95-31=64'] Exploring Operation: 46*64=2944, Resulting Numbers: [2944] 2944,29 unequal: No Solution Exploring Operation: 64-46=18, Resulting Numbers: [18] 18,29 unequal: No Solution Exploring Operation: 46+64=110, Resulting Numbers: [110] 110,29 unequal: No Solution Moving to Node #0,2,2 Current State: 29:[92, 32], Operations: ['95-31=64', '64/2=32'] Exploring Operation: 92-32=60, Resulting Numbers: [60] 60,29 unequal: No Solution Exploring Operation: 92+32=124, Resulting Numbers: [124] 124,29 unequal: No Solution Exploring Operation: 92*32=2944, Resulting Numbers: [2944] 2944,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[95, 15], Operations: ['92/2=46', '46-31=15'] Exploring Operation: 95*15=1425, Resulting Numbers: [1425] 1425,29 unequal: No Solution Exploring Operation: 95-15=80, Resulting Numbers: [80] 80,29 unequal: No Solution Exploring Operation: 95+15=110, Resulting Numbers: [110] 110,29 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 93, 71, 54, 50 ]
18
[ "93-71=22", "54-50=4", "22-4=18" ]
Current State: 18:[93, 71, 54, 50], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [54, 50, 22] Generated Node #2: [54, 50, 22] from Operation: 93-71=22 Current State: 18:[54, 50, 22], Operations: ['93-71=22'] Exploring Operation: 54-50=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 54-50=4 Current State: 18:[22, 4], Operations: ['93-71=22', '54-50=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[93, 71, 54, 50], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [54, 50, 22] Generated Node #0,0: 18:[54, 50, 22] Operation: 93-71=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[54, 50, 22], Operations: ['93-71=22'] Exploring Operation: 54-50=4, Resulting Numbers: [22, 4] Generated Node #0,0,0: 18:[22, 4] Operation: 54-50=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 18:[22, 4], Operations: ['93-71=22', '54-50=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[93, 71, 54, 50], Operations: [] Exploring Operation: 93-71=22, Resulting Numbers: [54, 50, 22] Generated Node #0,0: 18:[54, 50, 22] Operation: 93-71=22 Moving to Node #0,0 Current State: 18:[54, 50, 22], Operations: ['93-71=22'] Exploring Operation: 54-50=4, Resulting Numbers: [22, 4] Generated Node #0,0,0: 18:[22, 4] Operation: 54-50=4 Moving to Node #0,0,0 Current State: 18:[22, 4], Operations: ['93-71=22', '54-50=4'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 25, 22, 16, 7 ]
25
[ "22-16=6", "7-6=1", "25*1=25" ]
Current State: 25:[25, 22, 16, 7], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [25, 7, 6] Generated Node #2: [25, 7, 6] from Operation: 22-16=6 Current State: 25:[25, 7, 6], Operations: ['22-16=6'] Exploring Operation: 7-6=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 7-6=1 Current State: 25:[25, 1], Operations: ['22-16=6', '7-6=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[25, 22, 16, 7], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [25, 7, 6] Generated Node #0,0: 25:[25, 7, 6] Operation: 22-16=6 Exploring Operation: 16+7=23, Resulting Numbers: [25, 22, 23] Generated Node #0,1: 25:[25, 22, 23] Operation: 16+7=23 Exploring Operation: 25-16=9, Resulting Numbers: [22, 7, 9] Generated Node #0,2: 25:[22, 7, 9] Operation: 25-16=9 Exploring Operation: 16-7=9, Resulting Numbers: [25, 22, 9] Generated Node #0,3: 25:[25, 22, 9] Operation: 16-7=9 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[25, 7, 6], Operations: ['22-16=6'] Exploring Operation: 25-7=18, Resulting Numbers: [6, 18] Generated Node #0,0,0: 25:[6, 18] Operation: 25-7=18 Exploring Operation: 7-6=1, Resulting Numbers: [25, 1] Generated Node #0,0,1: 25:[25, 1] Operation: 7-6=1 Exploring Operation: 25+7=32, Resulting Numbers: [6, 32] Generated Node #0,0,2: 25:[6, 32] Operation: 25+7=32 Exploring Operation: 25+6=31, Resulting Numbers: [7, 31] Generated Node #0,0,3: 25:[7, 31] Operation: 25+6=31 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 25:[25, 1], Operations: ['22-16=6', '7-6=1'] Exploring Operation: 25/1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[25, 22, 16, 7], Operations: [] Exploring Operation: 22-16=6, Resulting Numbers: [25, 7, 6] Generated Node #0,0: 25:[25, 7, 6] Operation: 22-16=6 Moving to Node #0,0 Current State: 25:[25, 7, 6], Operations: ['22-16=6'] Exploring Operation: 7-6=1, Resulting Numbers: [25, 1] Generated Node #0,0,1: 25:[25, 1] Operation: 7-6=1 Moving to Node #0,0,1 Current State: 25:[25, 1], Operations: ['22-16=6', '7-6=1'] Exploring Operation: 25/1=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 12, 96, 5, 72 ]
10
[ "96-72=24", "24/12=2", "5*2=10" ]
Current State: 10:[12, 96, 5, 72], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [12, 5, 24] Generated Node #2: [12, 5, 24] from Operation: 96-72=24 Current State: 10:[12, 5, 24], Operations: ['96-72=24'] Exploring Operation: 24/12=2, Resulting Numbers: [5, 2] Generated Node #3: [5, 2] from Operation: 24/12=2 Current State: 10:[5, 2], Operations: ['96-72=24', '24/12=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[12, 96, 5, 72], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [5, 72, 8] Generated Node #0,0: 10:[5, 72, 8] Operation: 96/12=8 Exploring Operation: 96-72=24, Resulting Numbers: [12, 5, 24] Generated Node #0,1: 10:[12, 5, 24] Operation: 96-72=24 Exploring Operation: 72/12=6, Resulting Numbers: [96, 5, 6] Generated Node #0,2: 10:[96, 5, 6] Operation: 72/12=6 Start Sub Search at level 1: Moving to Node #0,1 Current State: 10:[12, 5, 24], Operations: ['96-72=24'] Exploring Operation: 24-12=12, Resulting Numbers: [5, 12] Generated Node #0,1,0: 10:[5, 12] Operation: 24-12=12 Exploring Operation: 24/12=2, Resulting Numbers: [5, 2] Generated Node #0,1,1: 10:[5, 2] Operation: 24/12=2 Exploring Operation: 24-5=19, Resulting Numbers: [12, 19] Generated Node #0,1,2: 10:[12, 19] Operation: 24-5=19 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 10:[5, 2], Operations: ['96-72=24', '24/12=2'] Exploring Operation: 5+2=7, Resulting Numbers: [7] 7,10 unequal: No Solution Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[12, 96, 5, 72], Operations: [] Exploring Operation: 96-72=24, Resulting Numbers: [12, 5, 24] Generated Node #0,1: 10:[12, 5, 24] Operation: 96-72=24 Moving to Node #0,1 Current State: 10:[12, 5, 24], Operations: ['96-72=24'] Exploring Operation: 24/12=2, Resulting Numbers: [5, 2] Generated Node #0,1,1: 10:[5, 2] Operation: 24/12=2 Moving to Node #0,1,1 Current State: 10:[5, 2], Operations: ['96-72=24', '24/12=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 44, 53, 80, 42 ]
84
[ "53-42=11", "44/11=4", "80+4=84" ]
Current State: 84:[44, 53, 80, 42], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [44, 80, 11] Generated Node #2: [44, 80, 11] from Operation: 53-42=11 Current State: 84:[44, 80, 11], Operations: ['53-42=11'] Exploring Operation: 44/11=4, Resulting Numbers: [80, 4] Generated Node #3: [80, 4] from Operation: 44/11=4 Current State: 84:[80, 4], Operations: ['53-42=11', '44/11=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[44, 53, 80, 42], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [53, 80, 2] Generated Node #0,0: 84:[53, 80, 2] Operation: 44-42=2 Exploring Operation: 53-42=11, Resulting Numbers: [44, 80, 11] Generated Node #0,1: 84:[44, 80, 11] Operation: 53-42=11 Exploring Operation: 53-44=9, Resulting Numbers: [80, 42, 9] Generated Node #0,2: 84:[80, 42, 9] Operation: 53-44=9 Exploring Operation: 80-53=27, Resulting Numbers: [44, 42, 27] Generated Node #0,3: 84:[44, 42, 27] Operation: 80-53=27 Moving to Node #0,3 Current State: 84:[44, 42, 27], Operations: ['80-53=27'] Exploring Operation: 44+42=86, Resulting Numbers: [27, 86] Generated Node #0,3,0: 84:[27, 86] Operation: 44+42=86 Exploring Operation: 44-42=2, Resulting Numbers: [27, 2] Generated Node #0,3,1: 84:[27, 2] Operation: 44-42=2 Exploring Operation: 42-27=15, Resulting Numbers: [44, 15] Generated Node #0,3,2: 84:[44, 15] Operation: 42-27=15 Exploring Operation: 44-27=17, Resulting Numbers: [42, 17] Generated Node #0,3,3: 84:[42, 17] Operation: 44-27=17 Moving to Node #0,2 Current State: 84:[80, 42, 9], Operations: ['53-44=9'] Exploring Operation: 80+9=89, Resulting Numbers: [42, 89] Generated Node #0,2,0: 84:[42, 89] Operation: 80+9=89 Exploring Operation: 80-9=71, Resulting Numbers: [42, 71] Generated Node #0,2,1: 84:[42, 71] Operation: 80-9=71 Exploring Operation: 80-42=38, Resulting Numbers: [9, 38] Generated Node #0,2,2: 84:[9, 38] Operation: 80-42=38 Exploring Operation: 42-9=33, Resulting Numbers: [80, 33] Generated Node #0,2,3: 84:[80, 33] Operation: 42-9=33 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 84:[42, 89], Operations: ['53-44=9', '80+9=89'] Exploring Operation: 42*89=3738, Resulting Numbers: [3738] 3738,84 unequal: No Solution Exploring Operation: 89-42=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 42+89=131, Resulting Numbers: [131] 131,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 84:[9, 38], Operations: ['53-44=9', '80-42=38'] Exploring Operation: 9+38=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 9*38=342, Resulting Numbers: [342] 342,84 unequal: No Solution Exploring Operation: 38-9=29, Resulting Numbers: [29] 29,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 84:[80, 33], Operations: ['53-44=9', '42-9=33'] Exploring Operation: 80*33=2640, Resulting Numbers: [2640] 2640,84 unequal: No Solution Exploring Operation: 80-33=47, Resulting Numbers: [47] 47,84 unequal: No Solution Exploring Operation: 80+33=113, Resulting Numbers: [113] 113,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 84:[42, 71], Operations: ['53-44=9', '80-9=71'] Exploring Operation: 42*71=2982, Resulting Numbers: [2982] 2982,84 unequal: No Solution Exploring Operation: 42+71=113, Resulting Numbers: [113] 113,84 unequal: No Solution Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 84:[44, 80, 11], Operations: ['53-42=11'] Exploring Operation: 44/11=4, Resulting Numbers: [80, 4] Generated Node #0,1,0: 84:[80, 4] Operation: 44/11=4 Exploring Operation: 44-11=33, Resulting Numbers: [80, 33] Generated Node #0,1,1: 84:[80, 33] Operation: 44-11=33 Exploring Operation: 80-44=36, Resulting Numbers: [11, 36] Generated Node #0,1,2: 84:[11, 36] Operation: 80-44=36 Exploring Operation: 80+11=91, Resulting Numbers: [44, 91] Generated Node #0,1,3: 84:[44, 91] Operation: 80+11=91 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 84:[80, 4], Operations: ['53-42=11', '44/11=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[44, 53, 80, 42], Operations: [] Exploring Operation: 53-42=11, Resulting Numbers: [44, 80, 11] Generated Node #0,1: 84:[44, 80, 11] Operation: 53-42=11 Moving to Node #0,1 Current State: 84:[44, 80, 11], Operations: ['53-42=11'] Exploring Operation: 44/11=4, Resulting Numbers: [80, 4] Generated Node #0,1,0: 84:[80, 4] Operation: 44/11=4 Moving to Node #0,1,0 Current State: 84:[80, 4], Operations: ['53-42=11', '44/11=4'] Exploring Operation: 80+4=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1
0.971354
hs_4
sum_heuristic
[ 58, 99, 82, 96 ]
27
[ "99-58=41", "96-82=14", "41-14=27" ]
Current State: 27:[58, 99, 82, 96], Operations: [] Exploring Operation: 99-58=41, Resulting Numbers: [82, 96, 41] Generated Node #2: [82, 96, 41] from Operation: 99-58=41 Current State: 27:[82, 96, 41], Operations: ['99-58=41'] Exploring Operation: 96-82=14, Resulting Numbers: [41, 14] Generated Node #3: [41, 14] from Operation: 96-82=14 Current State: 27:[41, 14], Operations: ['99-58=41', '96-82=14'] Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[58, 99, 82, 96], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [99, 82, 38] Generated Node #0,0: 27:[99, 82, 38] Operation: 96-58=38 Exploring Operation: 99-82=17, Resulting Numbers: [58, 96, 17] Generated Node #0,1: 27:[58, 96, 17] Operation: 99-82=17 Exploring Operation: 96-82=14, Resulting Numbers: [58, 99, 14] Generated Node #0,2: 27:[58, 99, 14] Operation: 96-82=14 Exploring Operation: 99-96=3, Resulting Numbers: [58, 82, 3] Generated Node #0,3: 27:[58, 82, 3] Operation: 99-96=3 Exploring Operation: 99-58=41, Resulting Numbers: [82, 96, 41] Generated Node #0,4: 27:[82, 96, 41] Operation: 99-58=41 Start Sub Search at level 1: Moving to Node #0,3 Current State: 27:[58, 82, 3], Operations: ['99-96=3'] Exploring Operation: 58+3=61, Resulting Numbers: [82, 61] Generated Node #0,3,0: 27:[82, 61] Operation: 58+3=61 Exploring Operation: 82-3=79, Resulting Numbers: [58, 79] Generated Node #0,3,1: 27:[58, 79] Operation: 82-3=79 Exploring Operation: 58-3=55, Resulting Numbers: [82, 55] Generated Node #0,3,2: 27:[82, 55] Operation: 58-3=55 Exploring Operation: 82+3=85, Resulting Numbers: [58, 85] Generated Node #0,3,3: 27:[58, 85] Operation: 82+3=85 Exploring Operation: 82-58=24, Resulting Numbers: [3, 24] Generated Node #0,3,4: 27:[3, 24] Operation: 82-58=24 Moving to Node #0,3,4 Current State: 27:[3, 24], Operations: ['99-96=3', '82-58=24'] Exploring Operation: 3*24=72, Resulting Numbers: [72] 72,27 unequal: No Solution Exploring Operation: 24/3=8, Resulting Numbers: [8] 8,27 unequal: No Solution Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[58, 99, 82, 96], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [58, 82, 3] Generated Node #0,3: 27:[58, 82, 3] Operation: 99-96=3 Moving to Node #0,3 Current State: 27:[58, 82, 3], Operations: ['99-96=3'] Exploring Operation: 82-58=24, Resulting Numbers: [3, 24] Generated Node #0,3,4: 27:[3, 24] Operation: 82-58=24 Moving to Node #0,3,4 Current State: 27:[3, 24], Operations: ['99-96=3', '82-58=24'] Exploring Operation: 3+24=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 30, 69, 14, 26 ]
27
[ "69-30=39", "26-14=12", "39-12=27" ]
Current State: 27:[30, 69, 14, 26], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [14, 26, 39] Generated Node #2: [14, 26, 39] from Operation: 69-30=39 Current State: 27:[14, 26, 39], Operations: ['69-30=39'] Exploring Operation: 26-14=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 26-14=12 Current State: 27:[39, 12], Operations: ['69-30=39', '26-14=12'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[30, 69, 14, 26], Operations: [] Exploring Operation: 69-26=43, Resulting Numbers: [30, 14, 43] Generated Node #0,0: 27:[30, 14, 43] Operation: 69-26=43 Exploring Operation: 69-30=39, Resulting Numbers: [14, 26, 39] Generated Node #0,1: 27:[14, 26, 39] Operation: 69-30=39 Moving to Node #0,1 Current State: 27:[14, 26, 39], Operations: ['69-30=39'] Exploring Operation: 39-26=13, Resulting Numbers: [14, 13] Generated Node #0,1,0: 27:[14, 13] Operation: 39-26=13 Exploring Operation: 39-14=25, Resulting Numbers: [26, 25] Generated Node #0,1,1: 27:[26, 25] Operation: 39-14=25 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 27:[26, 25], Operations: ['69-30=39', '39-14=25'] Exploring Operation: 26-25=1, Resulting Numbers: [1] 1,27 unequal: No Solution Exploring Operation: 26+25=51, Resulting Numbers: [51] 51,27 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 27:[14, 13], Operations: ['69-30=39', '39-26=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[30, 69, 14, 26], Operations: [] Exploring Operation: 69-30=39, Resulting Numbers: [14, 26, 39] Generated Node #0,1: 27:[14, 26, 39] Operation: 69-30=39 Moving to Node #0,1 Current State: 27:[14, 26, 39], Operations: ['69-30=39'] Exploring Operation: 39-26=13, Resulting Numbers: [14, 13] Generated Node #0,1,0: 27:[14, 13] Operation: 39-26=13 Moving to Node #0,1,0 Current State: 27:[14, 13], Operations: ['69-30=39', '39-26=13'] Exploring Operation: 14+13=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 25, 50, 32, 8 ]
100
[ "50-25=25", "32/8=4", "25*4=100" ]
Current State: 100:[25, 50, 32, 8], Operations: [] Exploring Operation: 50-25=25, Resulting Numbers: [32, 8, 25] Generated Node #2: [32, 8, 25] from Operation: 50-25=25 Current State: 100:[32, 8, 25], Operations: ['50-25=25'] Exploring Operation: 32/8=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 32/8=4 Current State: 100:[25, 4], Operations: ['50-25=25', '32/8=4'] Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[25, 50, 32, 8], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [25, 50, 24] Generated Node #0,0: 100:[25, 50, 24] Operation: 32-8=24 Exploring Operation: 32/8=4, Resulting Numbers: [25, 50, 4] Generated Node #0,1: 100:[25, 50, 4] Operation: 32/8=4 Exploring Operation: 32-25=7, Resulting Numbers: [50, 8, 7] Generated Node #0,2: 100:[50, 8, 7] Operation: 32-25=7 Moving to Node #0,1 Current State: 100:[25, 50, 4], Operations: ['32/8=4'] Exploring Operation: 50-25=25, Resulting Numbers: [4, 25] Generated Node #0,1,0: 100:[4, 25] Operation: 50-25=25 Exploring Operation: 25*4=100, Resulting Numbers: [50, 100] Generated Node #0,1,1: 100:[50, 100] Operation: 25*4=100 Exploring Operation: 50/25=2, Resulting Numbers: [4, 2] Generated Node #0,1,2: 100:[4, 2] Operation: 50/25=2 Moving to Node #0,0 Current State: 100:[25, 50, 24], Operations: ['32-8=24'] Exploring Operation: 50-25=25, Resulting Numbers: [24, 25] Generated Node #0,0,0: 100:[24, 25] Operation: 50-25=25 Exploring Operation: 25+24=49, Resulting Numbers: [50, 49] Generated Node #0,0,1: 100:[50, 49] Operation: 25+24=49 Exploring Operation: 50/25=2, Resulting Numbers: [24, 2] Generated Node #0,0,2: 100:[24, 2] Operation: 50/25=2 Moving to Node #0,2 Current State: 100:[50, 8, 7], Operations: ['32-25=7'] Exploring Operation: 8+7=15, Resulting Numbers: [50, 15] Generated Node #0,2,0: 100:[50, 15] Operation: 8+7=15 Exploring Operation: 8-7=1, Resulting Numbers: [50, 1] Generated Node #0,2,1: 100:[50, 1] Operation: 8-7=1 Exploring Operation: 8*7=56, Resulting Numbers: [50, 56] Generated Node #0,2,2: 100:[50, 56] Operation: 8*7=56 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 100:[50, 1], Operations: ['32-25=7', '8-7=1'] Exploring Operation: 50/1=50, Resulting Numbers: [50] 50,100 unequal: No Solution Exploring Operation: 50+1=51, Resulting Numbers: [51] 51,100 unequal: No Solution Exploring Operation: 50*1=50, Resulting Numbers: [50] 50,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 100:[50, 15], Operations: ['32-25=7', '8+7=15'] Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,100 unequal: No Solution Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,100 unequal: No Solution Exploring Operation: 50*15=750, Resulting Numbers: [750] 750,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 100:[50, 56], Operations: ['32-25=7', '8*7=56'] Exploring Operation: 50*56=2800, Resulting Numbers: [2800] 2800,100 unequal: No Solution Exploring Operation: 50+56=106, Resulting Numbers: [106] 106,100 unequal: No Solution Exploring Operation: 56-50=6, Resulting Numbers: [6] 6,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 100:[4, 25], Operations: ['32/8=4', '50-25=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[25, 50, 32, 8], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [25, 50, 4] Generated Node #0,1: 100:[25, 50, 4] Operation: 32/8=4 Moving to Node #0,1 Current State: 100:[25, 50, 4], Operations: ['32/8=4'] Exploring Operation: 50-25=25, Resulting Numbers: [4, 25] Generated Node #0,1,0: 100:[4, 25] Operation: 50-25=25 Moving to Node #0,1,0 Current State: 100:[4, 25], Operations: ['32/8=4', '50-25=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
0.977431
hs_3
mult_heuristic
[ 54, 50, 44, 82 ]
93
[ "54-50=4", "44/4=11", "82+11=93" ]
Current State: 93:[54, 50, 44, 82], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [44, 82, 4] Generated Node #2: [44, 82, 4] from Operation: 54-50=4 Current State: 93:[44, 82, 4], Operations: ['54-50=4'] Exploring Operation: 44/4=11, Resulting Numbers: [82, 11] Generated Node #3: [82, 11] from Operation: 44/4=11 Current State: 93:[82, 11], Operations: ['54-50=4', '44/4=11'] Exploring Operation: 82+11=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[54, 50, 44, 82], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [44, 82, 4] Generated Node #0,0: 93:[44, 82, 4] Operation: 54-50=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 93:[44, 82, 4], Operations: ['54-50=4'] Exploring Operation: 82-44=38, Resulting Numbers: [4, 38] Generated Node #0,0,0: 93:[4, 38] Operation: 82-44=38 Moving to Node #0,0,0 Current State: 93:[4, 38], Operations: ['54-50=4', '82-44=38'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 60, 90, 90, 80 ]
30
[ "90*80=7200", "7200/60=120", "120-90=30" ]
Current State: 30:[60, 90, 90, 80], Operations: [] Exploring Operation: 90*80=7200, Resulting Numbers: [60, 7200] Generated Node #2: [60, 7200] from Operation: 90*80=7200 Current State: 30:[60, 7200], Operations: ['90*80=7200'] Exploring Operation: 7200/60=120, Resulting Numbers: [120] 120,30 equal: Goal Reached Exploring Operation: 120-90=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[60, 90, 90, 80], Operations: [] Exploring Operation: 90/90=1, Resulting Numbers: [60, 80, 1] Generated Node #0,0: 30:[60, 80, 1] Operation: 90/90=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 30:[60, 80, 1], Operations: ['90/90=1'] Exploring Operation: 80-60=20, Resulting Numbers: [1, 20] Generated Node #0,0,0: 30:[1, 20] Operation: 80-60=20 Moving to Node #0,0,0 Current State: 30:[1, 20], Operations: ['90/90=1', '80-60=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 73, 91, 55, 2 ]
100
[ "73-55=18", "18/2=9", "91+9=100" ]
Current State: 100:[73, 91, 55, 2], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [91, 2, 18] Generated Node #2: [91, 2, 18] from Operation: 73-55=18 Current State: 100:[91, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 18/2=9 Current State: 100:[91, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[73, 91, 55, 2], Operations: [] Exploring Operation: 91-73=18, Resulting Numbers: [55, 2, 18] Generated Node #0,0: 100:[55, 2, 18] Operation: 91-73=18 Exploring Operation: 73-55=18, Resulting Numbers: [91, 2, 18] Generated Node #0,1: 100:[91, 2, 18] Operation: 73-55=18 Exploring Operation: 73-2=71, Resulting Numbers: [91, 55, 71] Generated Node #0,2: 100:[91, 55, 71] Operation: 73-2=71 Exploring Operation: 91-55=36, Resulting Numbers: [73, 2, 36] Generated Node #0,3: 100:[73, 2, 36] Operation: 91-55=36 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[55, 2, 18], Operations: ['91-73=18'] Exploring Operation: 55+2=57, Resulting Numbers: [18, 57] Generated Node #0,0,0: 100:[18, 57] Operation: 55+2=57 Exploring Operation: 55-2=53, Resulting Numbers: [18, 53] Generated Node #0,0,1: 100:[18, 53] Operation: 55-2=53 Exploring Operation: 2+18=20, Resulting Numbers: [55, 20] Generated Node #0,0,2: 100:[55, 20] Operation: 2+18=20 Exploring Operation: 18/2=9, Resulting Numbers: [55, 9] Generated Node #0,0,3: 100:[55, 9] Operation: 18/2=9 Moving to Node #0,0,1 Current State: 100:[18, 53], Operations: ['91-73=18', '55-2=53'] Exploring Operation: 53-18=35, Resulting Numbers: [35] 35,100 unequal: No Solution Exploring Operation: 18*53=954, Resulting Numbers: [954] 954,100 unequal: No Solution Exploring Operation: 18+53=71, Resulting Numbers: [71] 71,100 unequal: No Solution Moving to Node #0,0,2 Current State: 100:[55, 20], Operations: ['91-73=18', '2+18=20'] Exploring Operation: 55*20=1100, Resulting Numbers: [1100] 1100,100 unequal: No Solution Exploring Operation: 55+20=75, Resulting Numbers: [75] 75,100 unequal: No Solution Exploring Operation: 55-20=35, Resulting Numbers: [35] 35,100 unequal: No Solution Moving to Node #0,0,3 Current State: 100:[55, 9], Operations: ['91-73=18', '18/2=9'] Exploring Operation: 55*9=495, Resulting Numbers: [495] 495,100 unequal: No Solution Exploring Operation: 55-9=46, Resulting Numbers: [46] 46,100 unequal: No Solution Exploring Operation: 55+9=64, Resulting Numbers: [64] 64,100 unequal: No Solution Moving to Node #0,0,0 Current State: 100:[18, 57], Operations: ['91-73=18', '55+2=57'] Exploring Operation: 57-18=39, Resulting Numbers: [39] 39,100 unequal: No Solution Exploring Operation: 18+57=75, Resulting Numbers: [75] 75,100 unequal: No Solution Exploring Operation: 18*57=1026, Resulting Numbers: [1026] 1026,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[91, 2, 18], Operations: ['73-55=18'] Exploring Operation: 2+18=20, Resulting Numbers: [91, 20] Generated Node #0,1,0: 100:[91, 20] Operation: 2+18=20 Exploring Operation: 18/2=9, Resulting Numbers: [91, 9] Generated Node #0,1,1: 100:[91, 9] Operation: 18/2=9 Exploring Operation: 91+18=109, Resulting Numbers: [2, 109] Generated Node #0,1,2: 100:[2, 109] Operation: 91+18=109 Exploring Operation: 91+2=93, Resulting Numbers: [18, 93] Generated Node #0,1,3: 100:[18, 93] Operation: 91+2=93 Moving to Node #0,1,0 Current State: 100:[91, 20], Operations: ['73-55=18', '2+18=20'] Exploring Operation: 91-20=71, Resulting Numbers: [71] 71,100 unequal: No Solution Exploring Operation: 91*20=1820, Resulting Numbers: [1820] 1820,100 unequal: No Solution Exploring Operation: 91+20=111, Resulting Numbers: [111] 111,100 unequal: No Solution Moving to Node #0,1,3 Current State: 100:[18, 93], Operations: ['73-55=18', '91+2=93'] Exploring Operation: 18*93=1674, Resulting Numbers: [1674] 1674,100 unequal: No Solution Exploring Operation: 18+93=111, Resulting Numbers: [111] 111,100 unequal: No Solution Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,100 unequal: No Solution Moving to Node #0,1,2 Current State: 100:[2, 109], Operations: ['73-55=18', '91+18=109'] Exploring Operation: 2+109=111, Resulting Numbers: [111] 111,100 unequal: No Solution Exploring Operation: 2*109=218, Resulting Numbers: [218] 218,100 unequal: No Solution Exploring Operation: 109-2=107, Resulting Numbers: [107] 107,100 unequal: No Solution Moving to Node #0,1,1 Current State: 100:[91, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 91*9=819, Resulting Numbers: [819] 819,100 unequal: No Solution Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[73, 91, 55, 2], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [91, 2, 18] Generated Node #0,1: 100:[91, 2, 18] Operation: 73-55=18 Moving to Node #0,1 Current State: 100:[91, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [91, 9] Generated Node #0,1,1: 100:[91, 9] Operation: 18/2=9 Moving to Node #0,1,1 Current State: 100:[91, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 91+9=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 1
0.966146
hs_4
sum_heuristic
[ 47, 94, 26, 72 ]
49
[ "94/47=2", "26+72=98", "98/2=49" ]
Current State: 49:[47, 94, 26, 72], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [26, 72, 2] Generated Node #2: [26, 72, 2] from Operation: 94/47=2 Current State: 49:[26, 72, 2], Operations: ['94/47=2'] Exploring Operation: 26+72=98, Resulting Numbers: [2, 98] Generated Node #3: [2, 98] from Operation: 26+72=98 Current State: 49:[2, 98], Operations: ['94/47=2', '26+72=98'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[47, 94, 26, 72], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [47, 26, 22] Generated Node #0,0: 49:[47, 26, 22] Operation: 94-72=22 Exploring Operation: 94-47=47, Resulting Numbers: [26, 72, 47] Generated Node #0,1: 49:[26, 72, 47] Operation: 94-47=47 Exploring Operation: 94-26=68, Resulting Numbers: [47, 72, 68] Generated Node #0,2: 49:[47, 72, 68] Operation: 94-26=68 Exploring Operation: 94/47=2, Resulting Numbers: [26, 72, 2] Generated Node #0,3: 49:[26, 72, 2] Operation: 94/47=2 Moving to Node #0,0 Current State: 49:[47, 26, 22], Operations: ['94-72=22'] Exploring Operation: 26-22=4, Resulting Numbers: [47, 4] Generated Node #0,0,0: 49:[47, 4] Operation: 26-22=4 Exploring Operation: 26+22=48, Resulting Numbers: [47, 48] Generated Node #0,0,1: 49:[47, 48] Operation: 26+22=48 Exploring Operation: 47-22=25, Resulting Numbers: [26, 25] Generated Node #0,0,2: 49:[26, 25] Operation: 47-22=25 Exploring Operation: 47-26=21, Resulting Numbers: [22, 21] Generated Node #0,0,3: 49:[22, 21] Operation: 47-26=21 Moving to Node #0,2 Current State: 49:[47, 72, 68], Operations: ['94-26=68'] Exploring Operation: 72-47=25, Resulting Numbers: [68, 25] Generated Node #0,2,0: 49:[68, 25] Operation: 72-47=25 Exploring Operation: 68-47=21, Resulting Numbers: [72, 21] Generated Node #0,2,1: 49:[72, 21] Operation: 68-47=21 Exploring Operation: 47+72=119, Resulting Numbers: [68, 119] Generated Node #0,2,2: 49:[68, 119] Operation: 47+72=119 Exploring Operation: 72-68=4, Resulting Numbers: [47, 4] Generated Node #0,2,3: 49:[47, 4] Operation: 72-68=4 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 49:[47, 4], Operations: ['94-26=68', '72-68=4'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,49 unequal: No Solution Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 47*4=188, Resulting Numbers: [188] 188,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 49:[68, 25], Operations: ['94-26=68', '72-47=25'] Exploring Operation: 68+25=93, Resulting Numbers: [93] 93,49 unequal: No Solution Exploring Operation: 68-25=43, Resulting Numbers: [43] 43,49 unequal: No Solution Exploring Operation: 68*25=1700, Resulting Numbers: [1700] 1700,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 49:[72, 21], Operations: ['94-26=68', '68-47=21'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,49 unequal: No Solution Exploring Operation: 72*21=1512, Resulting Numbers: [1512] 1512,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 49:[68, 119], Operations: ['94-26=68', '47+72=119'] Exploring Operation: 68*119=8092, Resulting Numbers: [8092] 8092,49 unequal: No Solution Exploring Operation: 119-68=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 68+119=187, Resulting Numbers: [187] 187,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 49:[26, 72, 47], Operations: ['94-47=47'] Exploring Operation: 72-47=25, Resulting Numbers: [26, 25] Generated Node #0,1,0: 49:[26, 25] Operation: 72-47=25 Exploring Operation: 47-26=21, Resulting Numbers: [72, 21] Generated Node #0,1,1: 49:[72, 21] Operation: 47-26=21 Exploring Operation: 72-26=46, Resulting Numbers: [47, 46] Generated Node #0,1,2: 49:[47, 46] Operation: 72-26=46 Exploring Operation: 26+47=73, Resulting Numbers: [72, 73] Generated Node #0,1,3: 49:[72, 73] Operation: 26+47=73 Moving to Node #0,3 Current State: 49:[26, 72, 2], Operations: ['94/47=2'] Exploring Operation: 72-26=46, Resulting Numbers: [2, 46] Generated Node #0,3,0: 49:[2, 46] Operation: 72-26=46 Exploring Operation: 26*2=52, Resulting Numbers: [72, 52] Generated Node #0,3,1: 49:[72, 52] Operation: 26*2=52 Exploring Operation: 72/2=36, Resulting Numbers: [26, 36] Generated Node #0,3,2: 49:[26, 36] Operation: 72/2=36 Exploring Operation: 26/2=13, Resulting Numbers: [72, 13] Generated Node #0,3,3: 49:[72, 13] Operation: 26/2=13 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 49:[2, 46], Operations: ['94/47=2', '72-26=46'] Exploring Operation: 2*46=92, Resulting Numbers: [92] 92,49 unequal: No Solution Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,49 unequal: No Solution Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,49 unequal: No Solution Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 49:[72, 52], Operations: ['94/47=2', '26*2=52'] Exploring Operation: 72+52=124, Resulting Numbers: [124] 124,49 unequal: No Solution Exploring Operation: 72-52=20, Resulting Numbers: [20] 20,49 unequal: No Solution Exploring Operation: 72*52=3744, Resulting Numbers: [3744] 3744,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 49:[72, 13], Operations: ['94/47=2', '26/2=13'] Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,49 unequal: No Solution Exploring Operation: 72*13=936, Resulting Numbers: [936] 936,49 unequal: No Solution Exploring Operation: 72+13=85, Resulting Numbers: [85] 85,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 49:[26, 36], Operations: ['94/47=2', '72/2=36'] Exploring Operation: 26*36=936, Resulting Numbers: [936] 936,49 unequal: No Solution Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,49 unequal: No Solution Exploring Operation: 26+36=62, Resulting Numbers: [62] 62,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 49:[47, 48], Operations: ['94-72=22', '26+22=48'] Exploring Operation: 48-47=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 47+48=95, Resulting Numbers: [95] 95,49 unequal: No Solution Exploring Operation: 47*48=2256, Resulting Numbers: [2256] 2256,49 unequal: No Solution Moving to Node #0,0,0 Current State: 49:[47, 4], Operations: ['94-72=22', '26-22=4'] Exploring Operation: 47+4=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,49 unequal: No Solution Exploring Operation: 47*4=188, Resulting Numbers: [188] 188,49 unequal: No Solution Moving to Node #0,1,2 Current State: 49:[47, 46], Operations: ['94-47=47', '72-26=46'] Exploring Operation: 47-46=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 47+46=93, Resulting Numbers: [93] 93,49 unequal: No Solution Exploring Operation: 47*46=2162, Resulting Numbers: [2162] 2162,49 unequal: No Solution Moving to Node #0,0,3 Current State: 49:[22, 21], Operations: ['94-72=22', '47-26=21'] Exploring Operation: 22+21=43, Resulting Numbers: [43] 43,49 unequal: No Solution Exploring Operation: 22-21=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 22*21=462, Resulting Numbers: [462] 462,49 unequal: No Solution Moving to Node #0,1,0 Current State: 49:[26, 25], Operations: ['94-47=47', '72-47=25'] Exploring Operation: 26*25=650, Resulting Numbers: [650] 650,49 unequal: No Solution Exploring Operation: 26-25=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 26+25=51, Resulting Numbers: [51] 51,49 unequal: No Solution Moving to Node #0,0,2 Current State: 49:[26, 25], Operations: ['94-72=22', '47-22=25'] Exploring Operation: 26+25=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 26-25=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 26*25=650, Resulting Numbers: [650] 650,49 unequal: No Solution Moving to Node #0,1,1 Current State: 49:[72, 21], Operations: ['94-47=47', '47-26=21'] Exploring Operation: 72*21=1512, Resulting Numbers: [1512] 1512,49 unequal: No Solution Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,49 unequal: No Solution Exploring Operation: 72+21=93, Resulting Numbers: [93] 93,49 unequal: No Solution Moving to Node #0,1,3 Current State: 49:[72, 73], Operations: ['94-47=47', '26+47=73'] Exploring Operation: 72*73=5256, Resulting Numbers: [5256] 5256,49 unequal: No Solution Exploring Operation: 73-72=1, Resulting Numbers: [1] 1,49 unequal: No Solution Exploring Operation: 72+73=145, Resulting Numbers: [145] 145,49 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 28, 11, 28, 7 ]
91
[ "28-11=17", "7*17=119", "119-28=91" ]
Current State: 91:[28, 11, 28, 7], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [7, 17] Generated Node #2: [7, 17] from Operation: 28-11=17 Current State: 91:[7, 17], Operations: ['28-11=17'] Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,91 equal: Goal Reached Exploring Operation: 119-28=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[28, 11, 28, 7], Operations: [] Exploring Operation: 28/28=1, Resulting Numbers: [11, 7, 1] Generated Node #0,0: 91:[11, 7, 1] Operation: 28/28=1 Exploring Operation: 28-28=0, Resulting Numbers: [11, 7, 0] Generated Node #0,1: 91:[11, 7, 0] Operation: 28-28=0 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[11, 7, 1], Operations: ['28/28=1'] Exploring Operation: 11*1=11, Resulting Numbers: [7, 11] Generated Node #0,0,0: 91:[7, 11] Operation: 11*1=11 Exploring Operation: 11+1=12, Resulting Numbers: [7, 12] Generated Node #0,0,1: 91:[7, 12] Operation: 11+1=12 Moving to Node #0,0,1 Current State: 91:[7, 12], Operations: ['28/28=1', '11+1=12'] Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,91 unequal: No Solution Exploring Operation: 7+12=19, Resulting Numbers: [19] 19,91 unequal: No Solution Moving to Node #0,0,0 Current State: 91:[7, 11], Operations: ['28/28=1', '11*1=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,91 unequal: No Solution Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[11, 7, 0], Operations: ['28-28=0'] Exploring Operation: 11+0=11, Resulting Numbers: [7, 11] Generated Node #0,1,0: 91:[7, 11] Operation: 11+0=11 Exploring Operation: 11-0=11, Resulting Numbers: [7, 11] Generated Node #0,1,1: 91:[7, 11] Operation: 11-0=11 Moving to Node #0,1,0 Current State: 91:[7, 11], Operations: ['28-28=0', '11+0=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,91 unequal: No Solution Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,91 unequal: No Solution Moving to Node #0,1,1 Current State: 91:[7, 11], Operations: ['28-28=0', '11-0=11'] Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,91 unequal: No Solution Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 57, 11, 84, 50 ]
88
[ "57-11=46", "84+50=134", "134-46=88" ]
Current State: 88:[57, 11, 84, 50], Operations: [] Exploring Operation: 57-11=46, Resulting Numbers: [84, 50, 46] Generated Node #2: [84, 50, 46] from Operation: 57-11=46 Current State: 88:[84, 50, 46], Operations: ['57-11=46'] Exploring Operation: 84+50=134, Resulting Numbers: [46, 134] Generated Node #3: [46, 134] from Operation: 84+50=134 Current State: 88:[46, 134], Operations: ['57-11=46', '84+50=134'] Exploring Operation: 134-46=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[57, 11, 84, 50], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [11, 84, 7] Generated Node #0,0: 88:[11, 84, 7] Operation: 57-50=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 88:[11, 84, 7], Operations: ['57-50=7'] Exploring Operation: 84/7=12, Resulting Numbers: [11, 12] Generated Node #0,0,0: 88:[11, 12] Operation: 84/7=12 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 88:[11, 12], Operations: ['57-50=7', '84/7=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 15, 66, 80, 75 ]
70
[ "75/15=5", "80-66=14", "5*14=70" ]
Current State: 70:[15, 66, 80, 75], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [66, 80, 5] Generated Node #2: [66, 80, 5] from Operation: 75/15=5 Current State: 70:[66, 80, 5], Operations: ['75/15=5'] Exploring Operation: 80-66=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 80-66=14 Current State: 70:[5, 14], Operations: ['75/15=5', '80-66=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[15, 66, 80, 75], Operations: [] Exploring Operation: 80-75=5, Resulting Numbers: [15, 66, 5] Generated Node #0,0: 70:[15, 66, 5] Operation: 80-75=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[15, 66, 5], Operations: ['80-75=5'] Exploring Operation: 66+5=71, Resulting Numbers: [15, 71] Generated Node #0,0,0: 70:[15, 71] Operation: 66+5=71 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 70:[15, 71], Operations: ['80-75=5', '66+5=71'] Exploring Operation: 71-15=56, Resulting Numbers: [56] 56,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 25, 62, 9, 89 ]
14
[ "62-25=37", "89+37=126", "126/9=14" ]
Current State: 14:[25, 62, 9, 89], Operations: [] Exploring Operation: 62-25=37, Resulting Numbers: [9, 89, 37] Generated Node #2: [9, 89, 37] from Operation: 62-25=37 Current State: 14:[9, 89, 37], Operations: ['62-25=37'] Exploring Operation: 89+37=126, Resulting Numbers: [9, 126] Generated Node #3: [9, 126] from Operation: 89+37=126 Current State: 14:[9, 126], Operations: ['62-25=37', '89+37=126'] Exploring Operation: 126/9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[25, 62, 9, 89], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [25, 9, 27] Generated Node #0,0: 14:[25, 9, 27] Operation: 89-62=27 Moving to Node #0,0 Current State: 14:[25, 9, 27], Operations: ['89-62=27'] Exploring Operation: 27-25=2, Resulting Numbers: [9, 2] Generated Node #0,0,0: 14:[9, 2] Operation: 27-25=2 Moving to Node #0,0,0 Current State: 14:[9, 2], Operations: ['89-62=27', '27-25=2'] Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,14 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 36, 2, 22, 43 ]
99
[ "36-2=34", "22+43=65", "34+65=99" ]
Current State: 99:[36, 2, 22, 43], Operations: [] Exploring Operation: 36-2=34, Resulting Numbers: [22, 43, 34] Generated Node #2: [22, 43, 34] from Operation: 36-2=34 Current State: 99:[22, 43, 34], Operations: ['36-2=34'] Exploring Operation: 22+43=65, Resulting Numbers: [34, 65] Generated Node #3: [34, 65] from Operation: 22+43=65 Current State: 99:[34, 65], Operations: ['36-2=34', '22+43=65'] Exploring Operation: 34+65=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[36, 2, 22, 43], Operations: [] Exploring Operation: 22/2=11, Resulting Numbers: [36, 43, 11] Generated Node #0,0: 99:[36, 43, 11] Operation: 22/2=11 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[36, 43, 11], Operations: ['22/2=11'] Exploring Operation: 43-36=7, Resulting Numbers: [11, 7] Generated Node #0,0,0: 99:[11, 7] Operation: 43-36=7 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 99:[11, 7], Operations: ['22/2=11', '43-36=7'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 59, 12, 16, 11 ]
36
[ "59-11=48", "12*48=576", "576/16=36" ]
Current State: 36:[59, 12, 16, 11], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [12, 16, 48] Generated Node #2: [12, 16, 48] from Operation: 59-11=48 Current State: 36:[12, 16, 48], Operations: ['59-11=48'] Exploring Operation: 12*48=576, Resulting Numbers: [16, 576] Generated Node #3: [16, 576] from Operation: 12*48=576 Current State: 36:[16, 576], Operations: ['59-11=48', '12*48=576'] Exploring Operation: 576/16=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[59, 12, 16, 11], Operations: [] Exploring Operation: 59-12=47, Resulting Numbers: [16, 11, 47] Generated Node #0,0: 36:[16, 11, 47] Operation: 59-12=47 Exploring Operation: 59-11=48, Resulting Numbers: [12, 16, 48] Generated Node #0,1: 36:[12, 16, 48] Operation: 59-11=48 Exploring Operation: 59-16=43, Resulting Numbers: [12, 11, 43] Generated Node #0,2: 36:[12, 11, 43] Operation: 59-16=43 Start Sub Search at level 1: Moving to Node #0,2 Current State: 36:[12, 11, 43], Operations: ['59-16=43'] Exploring Operation: 43-12=31, Resulting Numbers: [11, 31] Generated Node #0,2,0: 36:[11, 31] Operation: 43-12=31 Exploring Operation: 12-11=1, Resulting Numbers: [43, 1] Generated Node #0,2,1: 36:[43, 1] Operation: 12-11=1 Exploring Operation: 43-11=32, Resulting Numbers: [12, 32] Generated Node #0,2,2: 36:[12, 32] Operation: 43-11=32 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 36:[12, 32], Operations: ['59-16=43', '43-11=32'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 12*32=384, Resulting Numbers: [384] 384,36 unequal: No Solution Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 36:[11, 31], Operations: ['59-16=43', '43-12=31'] Exploring Operation: 11*31=341, Resulting Numbers: [341] 341,36 unequal: No Solution Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 36:[43, 1], Operations: ['59-16=43', '12-11=1'] Exploring Operation: 43*1=43, Resulting Numbers: [43] 43,36 unequal: No Solution Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,36 unequal: No Solution Exploring Operation: 43/1=43, Resulting Numbers: [43] 43,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[16, 11, 47], Operations: ['59-12=47'] Exploring Operation: 47-16=31, Resulting Numbers: [11, 31] Generated Node #0,0,0: 36:[11, 31] Operation: 47-16=31 Exploring Operation: 47-11=36, Resulting Numbers: [16, 36] Generated Node #0,0,1: 36:[16, 36] Operation: 47-11=36 Exploring Operation: 16-11=5, Resulting Numbers: [47, 5] Generated Node #0,0,2: 36:[47, 5] Operation: 16-11=5 Moving to Node #0,0,1 Current State: 36:[16, 36], Operations: ['59-12=47', '47-11=36'] Exploring Operation: 16*36=576, Resulting Numbers: [576] 576,36 unequal: No Solution Exploring Operation: 16+36=52, Resulting Numbers: [52] 52,36 unequal: No Solution Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[11, 31], Operations: ['59-12=47', '47-16=31'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,36 unequal: No Solution Exploring Operation: 11*31=341, Resulting Numbers: [341] 341,36 unequal: No Solution Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[47, 5], Operations: ['59-12=47', '16-11=5'] Exploring Operation: 47+5=52, Resulting Numbers: [52] 52,36 unequal: No Solution Exploring Operation: 47*5=235, Resulting Numbers: [235] 235,36 unequal: No Solution Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[12, 16, 48], Operations: ['59-11=48'] Exploring Operation: 48/16=3, Resulting Numbers: [12, 3] Generated Node #0,1,0: 36:[12, 3] Operation: 48/16=3 Exploring Operation: 48-12=36, Resulting Numbers: [16, 36] Generated Node #0,1,1: 36:[16, 36] Operation: 48-12=36 Exploring Operation: 48/12=4, Resulting Numbers: [16, 4] Generated Node #0,1,2: 36:[16, 4] Operation: 48/12=4 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 36:[12, 3], Operations: ['59-11=48', '48/16=3'] Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,36 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,36 unequal: No Solution Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[59, 12, 16, 11], Operations: [] Exploring Operation: 59-11=48, Resulting Numbers: [12, 16, 48] Generated Node #0,1: 36:[12, 16, 48] Operation: 59-11=48 Moving to Node #0,1 Current State: 36:[12, 16, 48], Operations: ['59-11=48'] Exploring Operation: 48/16=3, Resulting Numbers: [12, 3] Generated Node #0,1,0: 36:[12, 3] Operation: 48/16=3 Moving to Node #0,1,0 Current State: 36:[12, 3], Operations: ['59-11=48', '48/16=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.967882
hs_3
sum_heuristic
[ 91, 42, 63, 35 ]
60
[ "91+35=126", "126/42=3", "63-3=60" ]
Current State: 60:[91, 42, 63, 35], Operations: [] Exploring Operation: 91+35=126, Resulting Numbers: [42, 63, 126] Generated Node #2: [42, 63, 126] from Operation: 91+35=126 Current State: 60:[42, 63, 126], Operations: ['91+35=126'] Exploring Operation: 126/42=3, Resulting Numbers: [63, 3] Generated Node #3: [63, 3] from Operation: 126/42=3 Current State: 60:[63, 3], Operations: ['91+35=126', '126/42=3'] Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[91, 42, 63, 35], Operations: [] Exploring Operation: 91-63=28, Resulting Numbers: [42, 35, 28] Generated Node #0,0: 60:[42, 35, 28] Operation: 91-63=28 Exploring Operation: 91-35=56, Resulting Numbers: [42, 63, 56] Generated Node #0,1: 60:[42, 63, 56] Operation: 91-35=56 Exploring Operation: 91-42=49, Resulting Numbers: [63, 35, 49] Generated Node #0,2: 60:[63, 35, 49] Operation: 91-42=49 Moving to Node #0,0 Current State: 60:[42, 35, 28], Operations: ['91-63=28'] Exploring Operation: 42-35=7, Resulting Numbers: [28, 7] Generated Node #0,0,0: 60:[28, 7] Operation: 42-35=7 Exploring Operation: 42-28=14, Resulting Numbers: [35, 14] Generated Node #0,0,1: 60:[35, 14] Operation: 42-28=14 Exploring Operation: 35-28=7, Resulting Numbers: [42, 7] Generated Node #0,0,2: 60:[42, 7] Operation: 35-28=7 Moving to Node #0,1 Current State: 60:[42, 63, 56], Operations: ['91-35=56'] Exploring Operation: 56-42=14, Resulting Numbers: [63, 14] Generated Node #0,1,0: 60:[63, 14] Operation: 56-42=14 Exploring Operation: 63-56=7, Resulting Numbers: [42, 7] Generated Node #0,1,1: 60:[42, 7] Operation: 63-56=7 Exploring Operation: 63-42=21, Resulting Numbers: [56, 21] Generated Node #0,1,2: 60:[56, 21] Operation: 63-42=21 Moving to Node #0,2 Current State: 60:[63, 35, 49], Operations: ['91-42=49'] Exploring Operation: 63-35=28, Resulting Numbers: [49, 28] Generated Node #0,2,0: 60:[49, 28] Operation: 63-35=28 Exploring Operation: 49-35=14, Resulting Numbers: [63, 14] Generated Node #0,2,1: 60:[63, 14] Operation: 49-35=14 Exploring Operation: 63-49=14, Resulting Numbers: [35, 14] Generated Node #0,2,2: 60:[35, 14] Operation: 63-49=14 Moving to Node #0,0,0 Current State: 60:[28, 7], Operations: ['91-63=28', '42-35=7'] Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,60 unequal: No Solution Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,60 unequal: No Solution Moving to Node #0,2,1 Current State: 60:[63, 14], Operations: ['91-42=49', '49-35=14'] Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 63*14=882, Resulting Numbers: [882] 882,60 unequal: No Solution Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[63, 14], Operations: ['91-35=56', '56-42=14'] Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 63*14=882, Resulting Numbers: [882] 882,60 unequal: No Solution Moving to Node #0,1,2 Current State: 60:[56, 21], Operations: ['91-35=56', '63-42=21'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,60 unequal: No Solution Exploring Operation: 56+21=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 56*21=1176, Resulting Numbers: [1176] 1176,60 unequal: No Solution Moving to Node #0,2,2 Current State: 60:[35, 14], Operations: ['91-42=49', '63-49=14'] Exploring Operation: 35+14=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 35-14=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 35*14=490, Resulting Numbers: [490] 490,60 unequal: No Solution Moving to Node #0,0,1 Current State: 60:[35, 14], Operations: ['91-63=28', '42-28=14'] Exploring Operation: 35*14=490, Resulting Numbers: [490] 490,60 unequal: No Solution Exploring Operation: 35+14=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 35-14=21, Resulting Numbers: [21] 21,60 unequal: No Solution Moving to Node #0,0,2 Current State: 60:[42, 7], Operations: ['91-63=28', '35-28=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,60 unequal: No Solution Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 42/7=6, Resulting Numbers: [6] 6,60 unequal: No Solution Moving to Node #0,1,1 Current State: 60:[42, 7], Operations: ['91-35=56', '63-56=7'] Exploring Operation: 42+7=49, Resulting Numbers: [49] 49,60 unequal: No Solution Exploring Operation: 42/7=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,60 unequal: No Solution Moving to Node #0,2,0 Current State: 60:[49, 28], Operations: ['91-42=49', '63-35=28'] Exploring Operation: 49-28=21, Resulting Numbers: [21] 21,60 unequal: No Solution Exploring Operation: 49+28=77, Resulting Numbers: [77] 77,60 unequal: No Solution Exploring Operation: 49*28=1372, Resulting Numbers: [1372] 1372,60 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 18, 54, 17, 22 ]
83
[ "54/18=3", "22*3=66", "17+66=83" ]
Current State: 83:[18, 54, 17, 22], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [17, 22, 3] Generated Node #2: [17, 22, 3] from Operation: 54/18=3 Current State: 83:[17, 22, 3], Operations: ['54/18=3'] Exploring Operation: 22*3=66, Resulting Numbers: [17, 66] Generated Node #3: [17, 66] from Operation: 22*3=66 Current State: 83:[17, 66], Operations: ['54/18=3', '22*3=66'] Exploring Operation: 17+66=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[18, 54, 17, 22], Operations: [] Exploring Operation: 18+22=40, Resulting Numbers: [54, 17, 40] Generated Node #0,0: 83:[54, 17, 40] Operation: 18+22=40 Exploring Operation: 54+17=71, Resulting Numbers: [18, 22, 71] Generated Node #0,1: 83:[18, 22, 71] Operation: 54+17=71 Exploring Operation: 18+17=35, Resulting Numbers: [54, 22, 35] Generated Node #0,2: 83:[54, 22, 35] Operation: 18+17=35 Exploring Operation: 18+54=72, Resulting Numbers: [17, 22, 72] Generated Node #0,3: 83:[17, 22, 72] Operation: 18+54=72 Exploring Operation: 54+22=76, Resulting Numbers: [18, 17, 76] Generated Node #0,4: 83:[18, 17, 76] Operation: 54+22=76 Moving to Node #0,0 Current State: 83:[54, 17, 40], Operations: ['18+22=40'] Exploring Operation: 54+40=94, Resulting Numbers: [17, 94] Generated Node #0,0,0: 83:[17, 94] Operation: 54+40=94 Exploring Operation: 54-17=37, Resulting Numbers: [40, 37] Generated Node #0,0,1: 83:[40, 37] Operation: 54-17=37 Exploring Operation: 17+40=57, Resulting Numbers: [54, 57] Generated Node #0,0,2: 83:[54, 57] Operation: 17+40=57 Exploring Operation: 54+17=71, Resulting Numbers: [40, 71] Generated Node #0,0,3: 83:[40, 71] Operation: 54+17=71 Exploring Operation: 40-17=23, Resulting Numbers: [54, 23] Generated Node #0,0,4: 83:[54, 23] Operation: 40-17=23 Moving to Node #0,2 Current State: 83:[54, 22, 35], Operations: ['18+17=35'] Exploring Operation: 22+35=57, Resulting Numbers: [54, 57] Generated Node #0,2,0: 83:[54, 57] Operation: 22+35=57 Exploring Operation: 54+22=76, Resulting Numbers: [35, 76] Generated Node #0,2,1: 83:[35, 76] Operation: 54+22=76 Exploring Operation: 54+35=89, Resulting Numbers: [22, 89] Generated Node #0,2,2: 83:[22, 89] Operation: 54+35=89 Exploring Operation: 54-22=32, Resulting Numbers: [35, 32] Generated Node #0,2,3: 83:[35, 32] Operation: 54-22=32 Exploring Operation: 35-22=13, Resulting Numbers: [54, 13] Generated Node #0,2,4: 83:[54, 13] Operation: 35-22=13 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 83:[54, 57], Operations: ['18+17=35', '22+35=57'] Exploring Operation: 57-54=3, Resulting Numbers: [3] 3,83 unequal: No Solution Exploring Operation: 54*57=3078, Resulting Numbers: [3078] 3078,83 unequal: No Solution Exploring Operation: 54+57=111, Resulting Numbers: [111] 111,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 83:[35, 76], Operations: ['18+17=35', '54+22=76'] Exploring Operation: 35*76=2660, Resulting Numbers: [2660] 2660,83 unequal: No Solution Exploring Operation: 35+76=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 83:[22, 89], Operations: ['18+17=35', '54+35=89'] Exploring Operation: 22+89=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 22*89=1958, Resulting Numbers: [1958] 1958,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 83:[35, 32], Operations: ['18+17=35', '54-22=32'] Exploring Operation: 35*32=1120, Resulting Numbers: [1120] 1120,83 unequal: No Solution Exploring Operation: 35+32=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 35-32=3, Resulting Numbers: [3] 3,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 83:[54, 13], Operations: ['18+17=35', '35-22=13'] Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,83 unequal: No Solution Exploring Operation: 54+13=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 54*13=702, Resulting Numbers: [702] 702,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 83:[18, 17, 76], Operations: ['54+22=76'] Exploring Operation: 76-17=59, Resulting Numbers: [18, 59] Generated Node #0,4,0: 83:[18, 59] Operation: 76-17=59 Exploring Operation: 17+76=93, Resulting Numbers: [18, 93] Generated Node #0,4,1: 83:[18, 93] Operation: 17+76=93 Exploring Operation: 18+76=94, Resulting Numbers: [17, 94] Generated Node #0,4,2: 83:[17, 94] Operation: 18+76=94 Exploring Operation: 18+17=35, Resulting Numbers: [76, 35] Generated Node #0,4,3: 83:[76, 35] Operation: 18+17=35 Exploring Operation: 18-17=1, Resulting Numbers: [76, 1] Generated Node #0,4,4: 83:[76, 1] Operation: 18-17=1 Moving to Node #0,1 Current State: 83:[18, 22, 71], Operations: ['54+17=71'] Exploring Operation: 22-18=4, Resulting Numbers: [71, 4] Generated Node #0,1,0: 83:[71, 4] Operation: 22-18=4 Exploring Operation: 71-18=53, Resulting Numbers: [22, 53] Generated Node #0,1,1: 83:[22, 53] Operation: 71-18=53 Exploring Operation: 22+71=93, Resulting Numbers: [18, 93] Generated Node #0,1,2: 83:[18, 93] Operation: 22+71=93 Exploring Operation: 18+22=40, Resulting Numbers: [71, 40] Generated Node #0,1,3: 83:[71, 40] Operation: 18+22=40 Exploring Operation: 18+71=89, Resulting Numbers: [22, 89] Generated Node #0,1,4: 83:[22, 89] Operation: 18+71=89 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 83:[71, 40], Operations: ['54+17=71', '18+22=40'] Exploring Operation: 71*40=2840, Resulting Numbers: [2840] 2840,83 unequal: No Solution Exploring Operation: 71+40=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 71-40=31, Resulting Numbers: [31] 31,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 83:[22, 89], Operations: ['54+17=71', '18+71=89'] Exploring Operation: 22*89=1958, Resulting Numbers: [1958] 1958,83 unequal: No Solution Exploring Operation: 22+89=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 83:[18, 93], Operations: ['54+17=71', '22+71=93'] Exploring Operation: 18+93=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 18*93=1674, Resulting Numbers: [1674] 1674,83 unequal: No Solution Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 83:[71, 4], Operations: ['54+17=71', '22-18=4'] Exploring Operation: 71+4=75, Resulting Numbers: [75] 75,83 unequal: No Solution Exploring Operation: 71-4=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 71*4=284, Resulting Numbers: [284] 284,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 83:[22, 53], Operations: ['54+17=71', '71-18=53'] Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,83 unequal: No Solution Exploring Operation: 22*53=1166, Resulting Numbers: [1166] 1166,83 unequal: No Solution Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 83:[17, 22, 72], Operations: ['18+54=72'] Exploring Operation: 22-17=5, Resulting Numbers: [72, 5] Generated Node #0,3,0: 83:[72, 5] Operation: 22-17=5 Exploring Operation: 22+72=94, Resulting Numbers: [17, 94] Generated Node #0,3,1: 83:[17, 94] Operation: 22+72=94 Exploring Operation: 17+22=39, Resulting Numbers: [72, 39] Generated Node #0,3,2: 83:[72, 39] Operation: 17+22=39 Exploring Operation: 72-17=55, Resulting Numbers: [22, 55] Generated Node #0,3,3: 83:[22, 55] Operation: 72-17=55 Exploring Operation: 17+72=89, Resulting Numbers: [22, 89] Generated Node #0,3,4: 83:[22, 89] Operation: 17+72=89 Moving to Node #0,0,2 Current State: 83:[54, 57], Operations: ['18+22=40', '17+40=57'] Exploring Operation: 54*57=3078, Resulting Numbers: [3078] 3078,83 unequal: No Solution Exploring Operation: 57-54=3, Resulting Numbers: [3] 3,83 unequal: No Solution Exploring Operation: 54+57=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,4,3 Current State: 83:[76, 35], Operations: ['54+22=76', '18+17=35'] Exploring Operation: 76*35=2660, Resulting Numbers: [2660] 2660,83 unequal: No Solution Exploring Operation: 76-35=41, Resulting Numbers: [41] 41,83 unequal: No Solution Exploring Operation: 76+35=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,0,3 Current State: 83:[40, 71], Operations: ['18+22=40', '54+17=71'] Exploring Operation: 40*71=2840, Resulting Numbers: [2840] 2840,83 unequal: No Solution Exploring Operation: 40+71=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 71-40=31, Resulting Numbers: [31] 31,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[72, 39], Operations: ['18+54=72', '17+22=39'] Exploring Operation: 72-39=33, Resulting Numbers: [33] 33,83 unequal: No Solution Exploring Operation: 72*39=2808, Resulting Numbers: [2808] 2808,83 unequal: No Solution Exploring Operation: 72+39=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,3,4 Current State: 83:[22, 89], Operations: ['18+54=72', '17+72=89'] Exploring Operation: 22+89=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 89-22=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 22*89=1958, Resulting Numbers: [1958] 1958,83 unequal: No Solution Moving to Node #0,4,1 Current State: 83:[18, 93], Operations: ['54+22=76', '17+76=93'] Exploring Operation: 93-18=75, Resulting Numbers: [75] 75,83 unequal: No Solution Exploring Operation: 18*93=1674, Resulting Numbers: [1674] 1674,83 unequal: No Solution Exploring Operation: 18+93=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,0,0 Current State: 83:[17, 94], Operations: ['18+22=40', '54+40=94'] Exploring Operation: 17*94=1598, Resulting Numbers: [1598] 1598,83 unequal: No Solution Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 17+94=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[17, 94], Operations: ['18+54=72', '22+72=94'] Exploring Operation: 17*94=1598, Resulting Numbers: [1598] 1598,83 unequal: No Solution Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 17+94=111, Resulting Numbers: [111] 111,83 unequal: No Solution Moving to Node #0,4,2 Current State: 83:[17, 94], Operations: ['54+22=76', '18+76=94'] Exploring Operation: 94-17=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 17+94=111, Resulting Numbers: [111] 111,83 unequal: No Solution Exploring Operation: 17*94=1598, Resulting Numbers: [1598] 1598,83 unequal: No Solution Moving to Node #0,3,0 Current State: 83:[72, 5], Operations: ['18+54=72', '22-17=5'] Exploring Operation: 72-5=67, Resulting Numbers: [67] 67,83 unequal: No Solution Exploring Operation: 72*5=360, Resulting Numbers: [360] 360,83 unequal: No Solution Exploring Operation: 72+5=77, Resulting Numbers: [77] 77,83 unequal: No Solution Moving to Node #0,4,4 Current State: 83:[76, 1], Operations: ['54+22=76', '18-17=1'] Exploring Operation: 76/1=76, Resulting Numbers: [76] 76,83 unequal: No Solution Exploring Operation: 76*1=76, Resulting Numbers: [76] 76,83 unequal: No Solution Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,83 unequal: No Solution Exploring Operation: 76+1=77, Resulting Numbers: [77] 77,83 unequal: No Solution Moving to Node #0,3,3 Current State: 83:[22, 55], Operations: ['18+54=72', '72-17=55'] Exploring Operation: 22*55=1210, Resulting Numbers: [1210] 1210,83 unequal: No Solution Exploring Operation: 22+55=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 55-22=33, Resulting Numbers: [33] 33,83 unequal: No Solution Moving to Node #0,0,1 Current State: 83:[40, 37], Operations: ['18+22=40', '54-17=37'] Exploring Operation: 40+37=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 40-37=3, Resulting Numbers: [3] 3,83 unequal: No Solution Exploring Operation: 40*37=1480, Resulting Numbers: [1480] 1480,83 unequal: No Solution Moving to Node #0,0,4 Current State: 83:[54, 23], Operations: ['18+22=40', '40-17=23'] Exploring Operation: 54-23=31, Resulting Numbers: [31] 31,83 unequal: No Solution Exploring Operation: 54+23=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 54*23=1242, Resulting Numbers: [1242] 1242,83 unequal: No Solution Moving to Node #0,4,0 Current State: 83:[18, 59], Operations: ['54+22=76', '76-17=59'] Exploring Operation: 18+59=77, Resulting Numbers: [77] 77,83 unequal: No Solution Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,83 unequal: No Solution Exploring Operation: 18*59=1062, Resulting Numbers: [1062] 1062,83 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 7, 44, 36, 51 ]
13
[ "51-44=7", "7*7=49", "49-36=13" ]
Current State: 13:[7, 44, 36, 51], Operations: [] Exploring Operation: 51-44=7, Resulting Numbers: [7, 36, 7] Generated Node #2: [7, 36, 7] from Operation: 51-44=7 Current State: 13:[7, 36, 7], Operations: ['51-44=7'] Exploring Operation: 7*7=49, Resulting Numbers: [36, 49] Generated Node #3: [36, 49] from Operation: 7*7=49 Current State: 13:[36, 49], Operations: ['51-44=7', '7*7=49'] Exploring Operation: 49-36=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[7, 44, 36, 51], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [7, 44, 15] Generated Node #0,0: 13:[7, 44, 15] Operation: 51-36=15 Exploring Operation: 51-44=7, Resulting Numbers: [7, 36, 7] Generated Node #0,1: 13:[7, 36, 7] Operation: 51-44=7 Start Sub Search at level 1: Moving to Node #0,1 Current State: 13:[7, 36, 7], Operations: ['51-44=7'] Exploring Operation: 36-7=29, Resulting Numbers: [7, 29] Generated Node #0,1,0: 13:[7, 29] Operation: 36-7=29 Exploring Operation: 36-7=29, Resulting Numbers: [7, 29] Generated Node #0,1,1: 13:[7, 29] Operation: 36-7=29 Moving to Node #0,1,0 Current State: 13:[7, 29], Operations: ['51-44=7', '36-7=29'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,13 unequal: No Solution Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,13 unequal: No Solution Moving to Node #0,1,1 Current State: 13:[7, 29], Operations: ['51-44=7', '36-7=29'] Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,13 unequal: No Solution Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 13:[7, 44, 15], Operations: ['51-36=15'] Exploring Operation: 44-7=37, Resulting Numbers: [15, 37] Generated Node #0,0,0: 13:[15, 37] Operation: 44-7=37 Exploring Operation: 44-15=29, Resulting Numbers: [7, 29] Generated Node #0,0,1: 13:[7, 29] Operation: 44-15=29 Moving to Node #0,0,1 Current State: 13:[7, 29], Operations: ['51-36=15', '44-15=29'] Exploring Operation: 7+29=36, Resulting Numbers: [36] 36,13 unequal: No Solution Exploring Operation: 29-7=22, Resulting Numbers: [22] 22,13 unequal: No Solution Moving to Node #0,0,0 Current State: 13:[15, 37], Operations: ['51-36=15', '44-7=37'] Exploring Operation: 37-15=22, Resulting Numbers: [22] 22,13 unequal: No Solution Exploring Operation: 15+37=52, Resulting Numbers: [52] 52,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 51, 16, 4, 54 ]
12
[ "54-51=3", "16/4=4", "3*4=12" ]
Current State: 12:[51, 16, 4, 54], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [16, 4, 3] Generated Node #2: [16, 4, 3] from Operation: 54-51=3 Current State: 12:[16, 4, 3], Operations: ['54-51=3'] Exploring Operation: 16/4=4, Resulting Numbers: [3, 4] Generated Node #3: [3, 4] from Operation: 16/4=4 Current State: 12:[3, 4], Operations: ['54-51=3', '16/4=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[51, 16, 4, 54], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [16, 4, 3] Generated Node #0,0: 12:[16, 4, 3] Operation: 54-51=3 Exploring Operation: 54-16=38, Resulting Numbers: [51, 4, 38] Generated Node #0,1: 12:[51, 4, 38] Operation: 54-16=38 Exploring Operation: 51-16=35, Resulting Numbers: [4, 54, 35] Generated Node #0,2: 12:[4, 54, 35] Operation: 51-16=35 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[16, 4, 3], Operations: ['54-51=3'] Exploring Operation: 16-3=13, Resulting Numbers: [4, 13] Generated Node #0,0,0: 12:[4, 13] Operation: 16-3=13 Exploring Operation: 16-4=12, Resulting Numbers: [3, 12] Generated Node #0,0,1: 12:[3, 12] Operation: 16-4=12 Exploring Operation: 16/4=4, Resulting Numbers: [3, 4] Generated Node #0,0,2: 12:[3, 4] Operation: 16/4=4 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 12:[3, 12], Operations: ['54-51=3', '16-4=12'] Exploring Operation: 3+12=15, Resulting Numbers: [15] 15,12 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,12 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,12 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 12:[3, 4], Operations: ['54-51=3', '16/4=4'] Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,12 unequal: No Solution Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[51, 16, 4, 54], Operations: [] Exploring Operation: 54-51=3, Resulting Numbers: [16, 4, 3] Generated Node #0,0: 12:[16, 4, 3] Operation: 54-51=3 Moving to Node #0,0 Current State: 12:[16, 4, 3], Operations: ['54-51=3'] Exploring Operation: 16/4=4, Resulting Numbers: [3, 4] Generated Node #0,0,2: 12:[3, 4] Operation: 16/4=4 Moving to Node #0,0,2 Current State: 12:[3, 4], Operations: ['54-51=3', '16/4=4'] Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_3
sum_heuristic
[ 99, 40, 74, 35 ]
50
[ "99-40=59", "74+35=109", "109-59=50" ]
Current State: 50:[99, 40, 74, 35], Operations: [] Exploring Operation: 99-40=59, Resulting Numbers: [74, 35, 59] Generated Node #2: [74, 35, 59] from Operation: 99-40=59 Current State: 50:[74, 35, 59], Operations: ['99-40=59'] Exploring Operation: 74+35=109, Resulting Numbers: [59, 109] Generated Node #3: [59, 109] from Operation: 74+35=109 Current State: 50:[59, 109], Operations: ['99-40=59', '74+35=109'] Exploring Operation: 109-59=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[99, 40, 74, 35], Operations: [] Exploring Operation: 74-35=39, Resulting Numbers: [99, 40, 39] Generated Node #0,0: 50:[99, 40, 39] Operation: 74-35=39 Exploring Operation: 74-40=34, Resulting Numbers: [99, 35, 34] Generated Node #0,1: 50:[99, 35, 34] Operation: 74-40=34 Exploring Operation: 99-40=59, Resulting Numbers: [74, 35, 59] Generated Node #0,2: 50:[74, 35, 59] Operation: 99-40=59 Exploring Operation: 99-35=64, Resulting Numbers: [40, 74, 64] Generated Node #0,3: 50:[40, 74, 64] Operation: 99-35=64 Exploring Operation: 99-74=25, Resulting Numbers: [40, 35, 25] Generated Node #0,4: 50:[40, 35, 25] Operation: 99-74=25 Start Sub Search at level 1: Moving to Node #0,4 Current State: 50:[40, 35, 25], Operations: ['99-74=25'] Exploring Operation: 40+35=75, Resulting Numbers: [25, 75] Generated Node #0,4,0: 50:[25, 75] Operation: 40+35=75 Exploring Operation: 35-25=10, Resulting Numbers: [40, 10] Generated Node #0,4,1: 50:[40, 10] Operation: 35-25=10 Exploring Operation: 40-35=5, Resulting Numbers: [25, 5] Generated Node #0,4,2: 50:[25, 5] Operation: 40-35=5 Exploring Operation: 40-25=15, Resulting Numbers: [35, 15] Generated Node #0,4,3: 50:[35, 15] Operation: 40-25=15 Exploring Operation: 35+25=60, Resulting Numbers: [40, 60] Generated Node #0,4,4: 50:[40, 60] Operation: 35+25=60 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 50:[25, 5], Operations: ['99-74=25', '40-35=5'] Exploring Operation: 25*5=125, Resulting Numbers: [125] 125,50 unequal: No Solution Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,50 unequal: No Solution Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,50 unequal: No Solution Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,50 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 50:[40, 10], Operations: ['99-74=25', '35-25=10'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,50 unequal: No Solution Exploring Operation: 40/10=4, Resulting Numbers: [4] 4,50 unequal: No Solution Exploring Operation: 40*10=400, Resulting Numbers: [400] 400,50 unequal: No Solution Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[99, 40, 74, 35], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [40, 35, 25] Generated Node #0,4: 50:[40, 35, 25] Operation: 99-74=25 Moving to Node #0,4 Current State: 50:[40, 35, 25], Operations: ['99-74=25'] Exploring Operation: 35-25=10, Resulting Numbers: [40, 10] Generated Node #0,4,1: 50:[40, 10] Operation: 35-25=10 Moving to Node #0,4,1 Current State: 50:[40, 10], Operations: ['99-74=25', '35-25=10'] Exploring Operation: 40+10=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.980903
hs_5
mult_heuristic
[ 82, 86, 38, 40 ]
39
[ "40-38=2", "86/2=43", "82-43=39" ]
Current State: 39:[82, 86, 38, 40], Operations: [] Exploring Operation: 40-38=2, Resulting Numbers: [82, 86, 2] Generated Node #2: [82, 86, 2] from Operation: 40-38=2 Current State: 39:[82, 86, 2], Operations: ['40-38=2'] Exploring Operation: 86/2=43, Resulting Numbers: [82, 43] Generated Node #3: [82, 43] from Operation: 86/2=43 Current State: 39:[82, 43], Operations: ['40-38=2', '86/2=43'] Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[82, 86, 38, 40], Operations: [] Exploring Operation: 86-82=4, Resulting Numbers: [38, 40, 4] Generated Node #0,0: 39:[38, 40, 4] Operation: 86-82=4 Exploring Operation: 82-40=42, Resulting Numbers: [86, 38, 42] Generated Node #0,1: 39:[86, 38, 42] Operation: 82-40=42 Exploring Operation: 82-38=44, Resulting Numbers: [86, 40, 44] Generated Node #0,2: 39:[86, 40, 44] Operation: 82-38=44 Exploring Operation: 86-40=46, Resulting Numbers: [82, 38, 46] Generated Node #0,3: 39:[82, 38, 46] Operation: 86-40=46 Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[38, 40, 4], Operations: ['86-82=4'] Exploring Operation: 38+4=42, Resulting Numbers: [40, 42] Generated Node #0,0,0: 39:[40, 42] Operation: 38+4=42 Exploring Operation: 40/4=10, Resulting Numbers: [38, 10] Generated Node #0,0,1: 39:[38, 10] Operation: 40/4=10 Exploring Operation: 40-38=2, Resulting Numbers: [4, 2] Generated Node #0,0,2: 39:[4, 2] Operation: 40-38=2 Exploring Operation: 40-4=36, Resulting Numbers: [38, 36] Generated Node #0,0,3: 39:[38, 36] Operation: 40-4=36 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 39:[4, 2], Operations: ['86-82=4', '40-38=2'] Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 4+2=6, Resulting Numbers: [6] 6,39 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 39:[40, 42], Operations: ['86-82=4', '38+4=42'] Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 40*42=1680, Resulting Numbers: [1680] 1680,39 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 39:[38, 10], Operations: ['86-82=4', '40/4=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,39 unequal: No Solution Exploring Operation: 38*10=380, Resulting Numbers: [380] 380,39 unequal: No Solution Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 39:[38, 36], Operations: ['86-82=4', '40-4=36'] Exploring Operation: 38*36=1368, Resulting Numbers: [1368] 1368,39 unequal: No Solution Exploring Operation: 38-36=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 39:[86, 38, 42], Operations: ['82-40=42'] Exploring Operation: 86-38=48, Resulting Numbers: [42, 48] Generated Node #0,1,0: 39:[42, 48] Operation: 86-38=48 Exploring Operation: 42-38=4, Resulting Numbers: [86, 4] Generated Node #0,1,1: 39:[86, 4] Operation: 42-38=4 Exploring Operation: 86-42=44, Resulting Numbers: [38, 44] Generated Node #0,1,2: 39:[38, 44] Operation: 86-42=44 Exploring Operation: 86+38=124, Resulting Numbers: [42, 124] Generated Node #0,1,3: 39:[42, 124] Operation: 86+38=124 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 39:[38, 44], Operations: ['82-40=42', '86-42=44'] Exploring Operation: 38*44=1672, Resulting Numbers: [1672] 1672,39 unequal: No Solution Exploring Operation: 44-38=6, Resulting Numbers: [6] 6,39 unequal: No Solution Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 39:[42, 48], Operations: ['82-40=42', '86-38=48'] Exploring Operation: 48-42=6, Resulting Numbers: [6] 6,39 unequal: No Solution Exploring Operation: 42*48=2016, Resulting Numbers: [2016] 2016,39 unequal: No Solution Exploring Operation: 42+48=90, Resulting Numbers: [90] 90,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 39:[86, 4], Operations: ['82-40=42', '42-38=4'] Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 86+4=90, Resulting Numbers: [90] 90,39 unequal: No Solution Exploring Operation: 86*4=344, Resulting Numbers: [344] 344,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 39:[42, 124], Operations: ['82-40=42', '86+38=124'] Exploring Operation: 124-42=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 42+124=166, Resulting Numbers: [166] 166,39 unequal: No Solution Exploring Operation: 42*124=5208, Resulting Numbers: [5208] 5208,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 39:[82, 38, 46], Operations: ['86-40=46'] Exploring Operation: 46-38=8, Resulting Numbers: [82, 8] Generated Node #0,3,0: 39:[82, 8] Operation: 46-38=8 Exploring Operation: 82-46=36, Resulting Numbers: [38, 36] Generated Node #0,3,1: 39:[38, 36] Operation: 82-46=36 Exploring Operation: 82-38=44, Resulting Numbers: [46, 44] Generated Node #0,3,2: 39:[46, 44] Operation: 82-38=44 Exploring Operation: 82+38=120, Resulting Numbers: [46, 120] Generated Node #0,3,3: 39:[46, 120] Operation: 82+38=120 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 39:[38, 36], Operations: ['86-40=46', '82-46=36'] Exploring Operation: 38-36=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 38+36=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 38*36=1368, Resulting Numbers: [1368] 1368,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 39:[46, 44], Operations: ['86-40=46', '82-38=44'] Exploring Operation: 46+44=90, Resulting Numbers: [90] 90,39 unequal: No Solution Exploring Operation: 46*44=2024, Resulting Numbers: [2024] 2024,39 unequal: No Solution Exploring Operation: 46-44=2, Resulting Numbers: [2] 2,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 39:[82, 8], Operations: ['86-40=46', '46-38=8'] Exploring Operation: 82-8=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 82+8=90, Resulting Numbers: [90] 90,39 unequal: No Solution Exploring Operation: 82*8=656, Resulting Numbers: [656] 656,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 39:[46, 120], Operations: ['86-40=46', '82+38=120'] Exploring Operation: 120-46=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 46*120=5520, Resulting Numbers: [5520] 5520,39 unequal: No Solution Exploring Operation: 46+120=166, Resulting Numbers: [166] 166,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 39:[86, 40, 44], Operations: ['82-38=44'] Exploring Operation: 44-40=4, Resulting Numbers: [86, 4] Generated Node #0,2,0: 39:[86, 4] Operation: 44-40=4 Exploring Operation: 86-44=42, Resulting Numbers: [40, 42] Generated Node #0,2,1: 39:[40, 42] Operation: 86-44=42 Exploring Operation: 86+40=126, Resulting Numbers: [44, 126] Generated Node #0,2,2: 39:[44, 126] Operation: 86+40=126 Exploring Operation: 86-40=46, Resulting Numbers: [44, 46] Generated Node #0,2,3: 39:[44, 46] Operation: 86-40=46 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 39:[40, 42], Operations: ['82-38=44', '86-44=42'] Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 40*42=1680, Resulting Numbers: [1680] 1680,39 unequal: No Solution Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 39:[44, 46], Operations: ['82-38=44', '86-40=46'] Exploring Operation: 44+46=90, Resulting Numbers: [90] 90,39 unequal: No Solution Exploring Operation: 44*46=2024, Resulting Numbers: [2024] 2024,39 unequal: No Solution Exploring Operation: 46-44=2, Resulting Numbers: [2] 2,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 39:[86, 4], Operations: ['82-38=44', '44-40=4'] Exploring Operation: 86*4=344, Resulting Numbers: [344] 344,39 unequal: No Solution Exploring Operation: 86-4=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 86+4=90, Resulting Numbers: [90] 90,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 39:[44, 126], Operations: ['82-38=44', '86+40=126'] Exploring Operation: 44*126=5544, Resulting Numbers: [5544] 5544,39 unequal: No Solution Exploring Operation: 126-44=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 44+126=170, Resulting Numbers: [170] 170,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 23, 27, 66, 30 ]
28
[ "23*30=690", "66+690=756", "756/27=28" ]
Current State: 28:[23, 27, 66, 30], Operations: [] Exploring Operation: 23*30=690, Resulting Numbers: [27, 66, 690] Generated Node #2: [27, 66, 690] from Operation: 23*30=690 Current State: 28:[27, 66, 690], Operations: ['23*30=690'] Exploring Operation: 66+690=756, Resulting Numbers: [27, 756] Generated Node #3: [27, 756] from Operation: 66+690=756 Current State: 28:[27, 756], Operations: ['23*30=690', '66+690=756'] Exploring Operation: 756/27=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[23, 27, 66, 30], Operations: [] Exploring Operation: 66-23=43, Resulting Numbers: [27, 30, 43] Generated Node #0,0: 28:[27, 30, 43] Operation: 66-23=43 Exploring Operation: 66-30=36, Resulting Numbers: [23, 27, 36] Generated Node #0,1: 28:[23, 27, 36] Operation: 66-30=36 Exploring Operation: 66-27=39, Resulting Numbers: [23, 30, 39] Generated Node #0,2: 28:[23, 30, 39] Operation: 66-27=39 Moving to Node #0,1 Current State: 28:[23, 27, 36], Operations: ['66-30=36'] Exploring Operation: 36-23=13, Resulting Numbers: [27, 13] Generated Node #0,1,0: 28:[27, 13] Operation: 36-23=13 Exploring Operation: 27-23=4, Resulting Numbers: [36, 4] Generated Node #0,1,1: 28:[36, 4] Operation: 27-23=4 Exploring Operation: 36-27=9, Resulting Numbers: [23, 9] Generated Node #0,1,2: 28:[23, 9] Operation: 36-27=9 Moving to Node #0,0 Current State: 28:[27, 30, 43], Operations: ['66-23=43'] Exploring Operation: 30-27=3, Resulting Numbers: [43, 3] Generated Node #0,0,0: 28:[43, 3] Operation: 30-27=3 Exploring Operation: 43-30=13, Resulting Numbers: [27, 13] Generated Node #0,0,1: 28:[27, 13] Operation: 43-30=13 Exploring Operation: 43-27=16, Resulting Numbers: [30, 16] Generated Node #0,0,2: 28:[30, 16] Operation: 43-27=16 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 28:[27, 13], Operations: ['66-23=43', '43-30=13'] Exploring Operation: 27*13=351, Resulting Numbers: [351] 351,28 unequal: No Solution Exploring Operation: 27+13=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 28:[30, 16], Operations: ['66-23=43', '43-27=16'] Exploring Operation: 30+16=46, Resulting Numbers: [46] 46,28 unequal: No Solution Exploring Operation: 30*16=480, Resulting Numbers: [480] 480,28 unequal: No Solution Exploring Operation: 30-16=14, Resulting Numbers: [14] 14,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 28:[43, 3], Operations: ['66-23=43', '30-27=3'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 43+3=46, Resulting Numbers: [46] 46,28 unequal: No Solution Exploring Operation: 43*3=129, Resulting Numbers: [129] 129,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 28:[23, 30, 39], Operations: ['66-27=39'] Exploring Operation: 39-30=9, Resulting Numbers: [23, 9] Generated Node #0,2,0: 28:[23, 9] Operation: 39-30=9 Exploring Operation: 30-23=7, Resulting Numbers: [39, 7] Generated Node #0,2,1: 28:[39, 7] Operation: 30-23=7 Exploring Operation: 39-23=16, Resulting Numbers: [30, 16] Generated Node #0,2,2: 28:[30, 16] Operation: 39-23=16 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 28:[30, 16], Operations: ['66-27=39', '39-23=16'] Exploring Operation: 30-16=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 30+16=46, Resulting Numbers: [46] 46,28 unequal: No Solution Exploring Operation: 30*16=480, Resulting Numbers: [480] 480,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 28:[23, 9], Operations: ['66-27=39', '39-30=9'] Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,28 unequal: No Solution Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 23*9=207, Resulting Numbers: [207] 207,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 28:[39, 7], Operations: ['66-27=39', '30-23=7'] Exploring Operation: 39*7=273, Resulting Numbers: [273] 273,28 unequal: No Solution Exploring Operation: 39-7=32, Resulting Numbers: [32] 32,28 unequal: No Solution Exploring Operation: 39+7=46, Resulting Numbers: [46] 46,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 28:[27, 13], Operations: ['66-30=36', '36-23=13'] Exploring Operation: 27+13=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,28 unequal: No Solution Exploring Operation: 27*13=351, Resulting Numbers: [351] 351,28 unequal: No Solution Moving to Node #0,1,2 Current State: 28:[23, 9], Operations: ['66-30=36', '36-27=9'] Exploring Operation: 23*9=207, Resulting Numbers: [207] 207,28 unequal: No Solution Exploring Operation: 23+9=32, Resulting Numbers: [32] 32,28 unequal: No Solution Exploring Operation: 23-9=14, Resulting Numbers: [14] 14,28 unequal: No Solution Moving to Node #0,1,1 Current State: 28:[36, 4], Operations: ['66-30=36', '27-23=4'] Exploring Operation: 36+4=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,28 unequal: No Solution Exploring Operation: 36/4=9, Resulting Numbers: [9] 9,28 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 43, 33, 5, 78 ]
44
[ "43+78=121", "33*5=165", "165-121=44" ]
Current State: 44:[43, 33, 5, 78], Operations: [] Exploring Operation: 43+78=121, Resulting Numbers: [33, 5, 121] Generated Node #2: [33, 5, 121] from Operation: 43+78=121 Current State: 44:[33, 5, 121], Operations: ['43+78=121'] Exploring Operation: 33*5=165, Resulting Numbers: [121, 165] Generated Node #3: [121, 165] from Operation: 33*5=165 Current State: 44:[121, 165], Operations: ['43+78=121', '33*5=165'] Exploring Operation: 165-121=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[43, 33, 5, 78], Operations: [] Exploring Operation: 78-43=35, Resulting Numbers: [33, 5, 35] Generated Node #0,0: 44:[33, 5, 35] Operation: 78-43=35 Exploring Operation: 78-33=45, Resulting Numbers: [43, 5, 45] Generated Node #0,1: 44:[43, 5, 45] Operation: 78-33=45 Start Sub Search at level 1: Moving to Node #0,1 Current State: 44:[43, 5, 45], Operations: ['78-33=45'] Exploring Operation: 45-43=2, Resulting Numbers: [5, 2] Generated Node #0,1,0: 44:[5, 2] Operation: 45-43=2 Exploring Operation: 45/5=9, Resulting Numbers: [43, 9] Generated Node #0,1,1: 44:[43, 9] Operation: 45/5=9 Moving to Node #0,1,0 Current State: 44:[5, 2], Operations: ['78-33=45', '45-43=2'] Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,44 unequal: No Solution Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,44 unequal: No Solution Moving to Node #0,1,1 Current State: 44:[43, 9], Operations: ['78-33=45', '45/5=9'] Exploring Operation: 43+9=52, Resulting Numbers: [52] 52,44 unequal: No Solution Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 44:[33, 5, 35], Operations: ['78-43=35'] Exploring Operation: 35/5=7, Resulting Numbers: [33, 7] Generated Node #0,0,0: 44:[33, 7] Operation: 35/5=7 Exploring Operation: 35-33=2, Resulting Numbers: [5, 2] Generated Node #0,0,1: 44:[5, 2] Operation: 35-33=2 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 44:[5, 2], Operations: ['78-43=35', '35-33=2'] Exploring Operation: 5*2=10, Resulting Numbers: [10] 10,44 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,44 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 44:[33, 7], Operations: ['78-43=35', '35/5=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,44 unequal: No Solution Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,44 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 54, 69, 4, 76 ]
18
[ "69+4=73", "76-73=3", "54/3=18" ]
Current State: 18:[54, 69, 4, 76], Operations: [] Exploring Operation: 69+4=73, Resulting Numbers: [54, 76, 73] Generated Node #2: [54, 76, 73] from Operation: 69+4=73 Current State: 18:[54, 76, 73], Operations: ['69+4=73'] Exploring Operation: 76-73=3, Resulting Numbers: [54, 3] Generated Node #3: [54, 3] from Operation: 76-73=3 Current State: 18:[54, 3], Operations: ['69+4=73', '76-73=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[54, 69, 4, 76], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [54, 4, 7] Generated Node #0,0: 18:[54, 4, 7] Operation: 76-69=7 Exploring Operation: 69-54=15, Resulting Numbers: [4, 76, 15] Generated Node #0,1: 18:[4, 76, 15] Operation: 69-54=15 Exploring Operation: 76/4=19, Resulting Numbers: [54, 69, 19] Generated Node #0,2: 18:[54, 69, 19] Operation: 76/4=19 Exploring Operation: 76-54=22, Resulting Numbers: [69, 4, 22] Generated Node #0,3: 18:[69, 4, 22] Operation: 76-54=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[54, 4, 7], Operations: ['76-69=7'] Exploring Operation: 54-4=50, Resulting Numbers: [7, 50] Generated Node #0,0,0: 18:[7, 50] Operation: 54-4=50 Exploring Operation: 7-4=3, Resulting Numbers: [54, 3] Generated Node #0,0,1: 18:[54, 3] Operation: 7-4=3 Exploring Operation: 4+7=11, Resulting Numbers: [54, 11] Generated Node #0,0,2: 18:[54, 11] Operation: 4+7=11 Exploring Operation: 54-7=47, Resulting Numbers: [4, 47] Generated Node #0,0,3: 18:[4, 47] Operation: 54-7=47 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 18:[4, 47], Operations: ['76-69=7', '54-7=47'] Exploring Operation: 47-4=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 4+47=51, Resulting Numbers: [51] 51,18 unequal: No Solution Exploring Operation: 4*47=188, Resulting Numbers: [188] 188,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 18:[7, 50], Operations: ['76-69=7', '54-4=50'] Exploring Operation: 50-7=43, Resulting Numbers: [43] 43,18 unequal: No Solution Exploring Operation: 7+50=57, Resulting Numbers: [57] 57,18 unequal: No Solution Exploring Operation: 7*50=350, Resulting Numbers: [350] 350,18 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 18:[54, 3], Operations: ['76-69=7', '7-4=3'] Exploring Operation: 54+3=57, Resulting Numbers: [57] 57,18 unequal: No Solution Exploring Operation: 54*3=162, Resulting Numbers: [162] 162,18 unequal: No Solution Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[54, 69, 4, 76], Operations: [] Exploring Operation: 76-69=7, Resulting Numbers: [54, 4, 7] Generated Node #0,0: 18:[54, 4, 7] Operation: 76-69=7 Moving to Node #0,0 Current State: 18:[54, 4, 7], Operations: ['76-69=7'] Exploring Operation: 7-4=3, Resulting Numbers: [54, 3] Generated Node #0,0,1: 18:[54, 3] Operation: 7-4=3 Moving to Node #0,0,1 Current State: 18:[54, 3], Operations: ['76-69=7', '7-4=3'] Exploring Operation: 54/3=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.981771
hs_4
sum_heuristic
[ 3, 78, 15, 63 ]
75
[ "15/3=5", "78-63=15", "5*15=75" ]
Current State: 75:[3, 78, 15, 63], Operations: [] Exploring Operation: 15/3=5, Resulting Numbers: [78, 63, 5] Generated Node #2: [78, 63, 5] from Operation: 15/3=5 Current State: 75:[78, 63, 5], Operations: ['15/3=5'] Exploring Operation: 78-63=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 78-63=15 Current State: 75:[5, 15], Operations: ['15/3=5', '78-63=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[3, 78, 15, 63], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [3, 15, 15] Generated Node #0,0: 75:[3, 15, 15] Operation: 78-63=15 Exploring Operation: 63/3=21, Resulting Numbers: [78, 15, 21] Generated Node #0,1: 75:[78, 15, 21] Operation: 63/3=21 Exploring Operation: 15+63=78, Resulting Numbers: [3, 78, 78] Generated Node #0,2: 75:[3, 78, 78] Operation: 15+63=78 Exploring Operation: 3+63=66, Resulting Numbers: [78, 15, 66] Generated Node #0,3: 75:[78, 15, 66] Operation: 3+63=66 Exploring Operation: 78-3=75, Resulting Numbers: [15, 63, 75] Generated Node #0,4: 75:[15, 63, 75] Operation: 78-3=75 Moving to Node #0,0 Current State: 75:[3, 15, 15], Operations: ['78-63=15'] Exploring Operation: 15/3=5, Resulting Numbers: [15, 5] Generated Node #0,0,0: 75:[15, 5] Operation: 15/3=5 Exploring Operation: 15/15=1, Resulting Numbers: [3, 1] Generated Node #0,0,1: 75:[3, 1] Operation: 15/15=1 Exploring Operation: 15-3=12, Resulting Numbers: [15, 12] Generated Node #0,0,2: 75:[15, 12] Operation: 15-3=12 Exploring Operation: 3+15=18, Resulting Numbers: [15, 18] Generated Node #0,0,3: 75:[15, 18] Operation: 3+15=18 Exploring Operation: 15/3=5, Resulting Numbers: [15, 5] Generated Node #0,0,4: 75:[15, 5] Operation: 15/3=5 Moving to Node #0,2 Current State: 75:[3, 78, 78], Operations: ['15+63=78'] Exploring Operation: 78-3=75, Resulting Numbers: [78, 75] Generated Node #0,2,0: 75:[78, 75] Operation: 78-3=75 Exploring Operation: 78-3=75, Resulting Numbers: [78, 75] Generated Node #0,2,1: 75:[78, 75] Operation: 78-3=75 Exploring Operation: 78/3=26, Resulting Numbers: [78, 26] Generated Node #0,2,2: 75:[78, 26] Operation: 78/3=26 Exploring Operation: 78/78=1, Resulting Numbers: [3, 1] Generated Node #0,2,3: 75:[3, 1] Operation: 78/78=1 Exploring Operation: 78-78=0, Resulting Numbers: [3, 0] Generated Node #0,2,4: 75:[3, 0] Operation: 78-78=0 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 75:[3, 1], Operations: ['15+63=78', '78/78=1'] Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 75:[78, 75], Operations: ['15+63=78', '78-3=75'] Exploring Operation: 78+75=153, Resulting Numbers: [153] 153,75 unequal: No Solution Exploring Operation: 78*75=5850, Resulting Numbers: [5850] 5850,75 unequal: No Solution Exploring Operation: 78-75=3, Resulting Numbers: [3] 3,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 75:[78, 75], Operations: ['15+63=78', '78-3=75'] Exploring Operation: 78*75=5850, Resulting Numbers: [5850] 5850,75 unequal: No Solution Exploring Operation: 78+75=153, Resulting Numbers: [153] 153,75 unequal: No Solution Exploring Operation: 78-75=3, Resulting Numbers: [3] 3,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 75:[3, 0], Operations: ['15+63=78', '78-78=0'] Exploring Operation: 3-0=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 3+0=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 3*0=0, Resulting Numbers: [0] 0,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 75:[78, 26], Operations: ['15+63=78', '78/3=26'] Exploring Operation: 78*26=2028, Resulting Numbers: [2028] 2028,75 unequal: No Solution Exploring Operation: 78/26=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 78+26=104, Resulting Numbers: [104] 104,75 unequal: No Solution Exploring Operation: 78-26=52, Resulting Numbers: [52] 52,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 75:[78, 15, 21], Operations: ['63/3=21'] Exploring Operation: 78+15=93, Resulting Numbers: [21, 93] Generated Node #0,1,0: 75:[21, 93] Operation: 78+15=93 Exploring Operation: 78-15=63, Resulting Numbers: [21, 63] Generated Node #0,1,1: 75:[21, 63] Operation: 78-15=63 Exploring Operation: 21-15=6, Resulting Numbers: [78, 6] Generated Node #0,1,2: 75:[78, 6] Operation: 21-15=6 Exploring Operation: 78-21=57, Resulting Numbers: [15, 57] Generated Node #0,1,3: 75:[15, 57] Operation: 78-21=57 Exploring Operation: 15+21=36, Resulting Numbers: [78, 36] Generated Node #0,1,4: 75:[78, 36] Operation: 15+21=36 Moving to Node #0,3 Current State: 75:[78, 15, 66], Operations: ['3+63=66'] Exploring Operation: 15+66=81, Resulting Numbers: [78, 81] Generated Node #0,3,0: 75:[78, 81] Operation: 15+66=81 Exploring Operation: 78-15=63, Resulting Numbers: [66, 63] Generated Node #0,3,1: 75:[66, 63] Operation: 78-15=63 Exploring Operation: 78+15=93, Resulting Numbers: [66, 93] Generated Node #0,3,2: 75:[66, 93] Operation: 78+15=93 Exploring Operation: 78-66=12, Resulting Numbers: [15, 12] Generated Node #0,3,3: 75:[15, 12] Operation: 78-66=12 Exploring Operation: 66-15=51, Resulting Numbers: [78, 51] Generated Node #0,3,4: 75:[78, 51] Operation: 66-15=51 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 75:[15, 12], Operations: ['3+63=66', '78-66=12'] Exploring Operation: 15-12=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 15+12=27, Resulting Numbers: [27] 27,75 unequal: No Solution Exploring Operation: 15*12=180, Resulting Numbers: [180] 180,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 75:[78, 81], Operations: ['3+63=66', '15+66=81'] Exploring Operation: 78*81=6318, Resulting Numbers: [6318] 6318,75 unequal: No Solution Exploring Operation: 81-78=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 78+81=159, Resulting Numbers: [159] 159,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 75:[66, 63], Operations: ['3+63=66', '78-15=63'] Exploring Operation: 66*63=4158, Resulting Numbers: [4158] 4158,75 unequal: No Solution Exploring Operation: 66-63=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 66+63=129, Resulting Numbers: [129] 129,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 75:[66, 93], Operations: ['3+63=66', '78+15=93'] Exploring Operation: 66*93=6138, Resulting Numbers: [6138] 6138,75 unequal: No Solution Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,75 unequal: No Solution Exploring Operation: 66+93=159, Resulting Numbers: [159] 159,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 75:[78, 51], Operations: ['3+63=66', '66-15=51'] Exploring Operation: 78*51=3978, Resulting Numbers: [3978] 3978,75 unequal: No Solution Exploring Operation: 78+51=129, Resulting Numbers: [129] 129,75 unequal: No Solution Exploring Operation: 78-51=27, Resulting Numbers: [27] 27,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 75:[15, 63, 75], Operations: ['78-3=75'] Exploring Operation: 63-15=48, Resulting Numbers: [75, 48] Generated Node #0,4,0: 75:[75, 48] Operation: 63-15=48 Exploring Operation: 75/15=5, Resulting Numbers: [63, 5] Generated Node #0,4,1: 75:[63, 5] Operation: 75/15=5 Exploring Operation: 15+63=78, Resulting Numbers: [75, 78] Generated Node #0,4,2: 75:[75, 78] Operation: 15+63=78 Exploring Operation: 75-63=12, Resulting Numbers: [15, 12] Generated Node #0,4,3: 75:[15, 12] Operation: 75-63=12 Exploring Operation: 15+75=90, Resulting Numbers: [63, 90] Generated Node #0,4,4: 75:[63, 90] Operation: 15+75=90 Moving to Node #0,0,0 Current State: 75:[15, 5], Operations: ['78-63=15', '15/3=5'] Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[3, 78, 15, 63], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [3, 15, 15] Generated Node #0,0: 75:[3, 15, 15] Operation: 78-63=15 Moving to Node #0,0 Current State: 75:[3, 15, 15], Operations: ['78-63=15'] Exploring Operation: 15/3=5, Resulting Numbers: [15, 5] Generated Node #0,0,0: 75:[15, 5] Operation: 15/3=5 Moving to Node #0,0,0 Current State: 75:[15, 5], Operations: ['78-63=15', '15/3=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
0.940972
hs_5
sum_heuristic
[ 3, 27, 31, 61 ]
16
[ "3+61=64", "31-27=4", "64/4=16" ]
Current State: 16:[3, 27, 31, 61], Operations: [] Exploring Operation: 3+61=64, Resulting Numbers: [27, 31, 64] Generated Node #2: [27, 31, 64] from Operation: 3+61=64 Current State: 16:[27, 31, 64], Operations: ['3+61=64'] Exploring Operation: 31-27=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 31-27=4 Current State: 16:[64, 4], Operations: ['3+61=64', '31-27=4'] Exploring Operation: 64/4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[3, 27, 31, 61], Operations: [] Exploring Operation: 61-31=30, Resulting Numbers: [3, 27, 30] Generated Node #0,0: 16:[3, 27, 30] Operation: 61-31=30 Moving to Node #0,0 Current State: 16:[3, 27, 30], Operations: ['61-31=30'] Exploring Operation: 30-27=3, Resulting Numbers: [3, 3] Generated Node #0,0,0: 16:[3, 3] Operation: 30-27=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 16:[3, 3], Operations: ['61-31=30', '30-27=3'] Exploring Operation: 3*3=9, Resulting Numbers: [9] 9,16 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 22, 79, 80, 73 ]
64
[ "79-22=57", "80-73=7", "57+7=64" ]
Current State: 64:[22, 79, 80, 73], Operations: [] Exploring Operation: 79-22=57, Resulting Numbers: [80, 73, 57] Generated Node #2: [80, 73, 57] from Operation: 79-22=57 Current State: 64:[80, 73, 57], Operations: ['79-22=57'] Exploring Operation: 80-73=7, Resulting Numbers: [57, 7] Generated Node #3: [57, 7] from Operation: 80-73=7 Current State: 64:[57, 7], Operations: ['79-22=57', '80-73=7'] Exploring Operation: 57+7=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[22, 79, 80, 73], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [22, 79, 7] Generated Node #0,0: 64:[22, 79, 7] Operation: 80-73=7 Exploring Operation: 79-22=57, Resulting Numbers: [80, 73, 57] Generated Node #0,1: 64:[80, 73, 57] Operation: 79-22=57 Exploring Operation: 79-73=6, Resulting Numbers: [22, 80, 6] Generated Node #0,2: 64:[22, 80, 6] Operation: 79-73=6 Exploring Operation: 80-22=58, Resulting Numbers: [79, 73, 58] Generated Node #0,3: 64:[79, 73, 58] Operation: 80-22=58 Exploring Operation: 80-79=1, Resulting Numbers: [22, 73, 1] Generated Node #0,4: 64:[22, 73, 1] Operation: 80-79=1 Start Sub Search at level 1: Moving to Node #0,4 Current State: 64:[22, 73, 1], Operations: ['80-79=1'] Exploring Operation: 73-22=51, Resulting Numbers: [1, 51] Generated Node #0,4,0: 64:[1, 51] Operation: 73-22=51 Exploring Operation: 22/1=22, Resulting Numbers: [73, 22] Generated Node #0,4,1: 64:[73, 22] Operation: 22/1=22 Exploring Operation: 73-1=72, Resulting Numbers: [22, 72] Generated Node #0,4,2: 64:[22, 72] Operation: 73-1=72 Exploring Operation: 22-1=21, Resulting Numbers: [73, 21] Generated Node #0,4,3: 64:[73, 21] Operation: 22-1=21 Exploring Operation: 22*1=22, Resulting Numbers: [73, 22] Generated Node #0,4,4: 64:[73, 22] Operation: 22*1=22 Moving to Node #0,4,0 Current State: 64:[1, 51], Operations: ['80-79=1', '73-22=51'] Exploring Operation: 1*51=51, Resulting Numbers: [51] 51,64 unequal: No Solution Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,64 unequal: No Solution Exploring Operation: 1+51=52, Resulting Numbers: [52] 52,64 unequal: No Solution Exploring Operation: 51/1=51, Resulting Numbers: [51] 51,64 unequal: No Solution Moving to Node #0,4,3 Current State: 64:[73, 21], Operations: ['80-79=1', '22-1=21'] Exploring Operation: 73*21=1533, Resulting Numbers: [1533] 1533,64 unequal: No Solution Exploring Operation: 73-21=52, Resulting Numbers: [52] 52,64 unequal: No Solution Exploring Operation: 73+21=94, Resulting Numbers: [94] 94,64 unequal: No Solution Moving to Node #0,4,2 Current State: 64:[22, 72], Operations: ['80-79=1', '73-1=72'] Exploring Operation: 22+72=94, Resulting Numbers: [94] 94,64 unequal: No Solution Exploring Operation: 22*72=1584, Resulting Numbers: [1584] 1584,64 unequal: No Solution Exploring Operation: 72-22=50, Resulting Numbers: [50] 50,64 unequal: No Solution Moving to Node #0,4,1 Current State: 64:[73, 22], Operations: ['80-79=1', '22/1=22'] Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,64 unequal: No Solution Exploring Operation: 73*22=1606, Resulting Numbers: [1606] 1606,64 unequal: No Solution Exploring Operation: 73+22=95, Resulting Numbers: [95] 95,64 unequal: No Solution Moving to Node #0,4,4 Current State: 64:[73, 22], Operations: ['80-79=1', '22*1=22'] Exploring Operation: 73+22=95, Resulting Numbers: [95] 95,64 unequal: No Solution Exploring Operation: 73*22=1606, Resulting Numbers: [1606] 1606,64 unequal: No Solution Exploring Operation: 73-22=51, Resulting Numbers: [51] 51,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[22, 79, 7], Operations: ['80-73=7'] Exploring Operation: 79-22=57, Resulting Numbers: [7, 57] Generated Node #0,0,0: 64:[7, 57] Operation: 79-22=57 Exploring Operation: 22+7=29, Resulting Numbers: [79, 29] Generated Node #0,0,1: 64:[79, 29] Operation: 22+7=29 Exploring Operation: 79+7=86, Resulting Numbers: [22, 86] Generated Node #0,0,2: 64:[22, 86] Operation: 79+7=86 Exploring Operation: 22-7=15, Resulting Numbers: [79, 15] Generated Node #0,0,3: 64:[79, 15] Operation: 22-7=15 Exploring Operation: 79-7=72, Resulting Numbers: [22, 72] Generated Node #0,0,4: 64:[22, 72] Operation: 79-7=72 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 64:[7, 57], Operations: ['80-73=7', '79-22=57'] Exploring Operation: 7+57=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[22, 79, 80, 73], Operations: [] Exploring Operation: 80-73=7, Resulting Numbers: [22, 79, 7] Generated Node #0,0: 64:[22, 79, 7] Operation: 80-73=7 Moving to Node #0,0 Current State: 64:[22, 79, 7], Operations: ['80-73=7'] Exploring Operation: 79-22=57, Resulting Numbers: [7, 57] Generated Node #0,0,0: 64:[7, 57] Operation: 79-22=57 Moving to Node #0,0,0 Current State: 64:[7, 57], Operations: ['80-73=7', '79-22=57'] Exploring Operation: 7+57=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.96875
hs_5
sum_heuristic
[ 3, 49, 21, 62 ]
93
[ "3+49=52", "62-21=41", "52+41=93" ]
Current State: 93:[3, 49, 21, 62], Operations: [] Exploring Operation: 3+49=52, Resulting Numbers: [21, 62, 52] Generated Node #2: [21, 62, 52] from Operation: 3+49=52 Current State: 93:[21, 62, 52], Operations: ['3+49=52'] Exploring Operation: 62-21=41, Resulting Numbers: [52, 41] Generated Node #3: [52, 41] from Operation: 62-21=41 Current State: 93:[52, 41], Operations: ['3+49=52', '62-21=41'] Exploring Operation: 52+41=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[3, 49, 21, 62], Operations: [] Exploring Operation: 21+62=83, Resulting Numbers: [3, 49, 83] Generated Node #0,0: 93:[3, 49, 83] Operation: 21+62=83 Exploring Operation: 49+62=111, Resulting Numbers: [3, 21, 111] Generated Node #0,1: 93:[3, 21, 111] Operation: 49+62=111 Exploring Operation: 62-49=13, Resulting Numbers: [3, 21, 13] Generated Node #0,2: 93:[3, 21, 13] Operation: 62-49=13 Moving to Node #0,2 Current State: 93:[3, 21, 13], Operations: ['62-49=13'] Exploring Operation: 21/3=7, Resulting Numbers: [13, 7] Generated Node #0,2,0: 93:[13, 7] Operation: 21/3=7 Exploring Operation: 21-13=8, Resulting Numbers: [3, 8] Generated Node #0,2,1: 93:[3, 8] Operation: 21-13=8 Exploring Operation: 21+13=34, Resulting Numbers: [3, 34] Generated Node #0,2,2: 93:[3, 34] Operation: 21+13=34 Moving to Node #0,0 Current State: 93:[3, 49, 83], Operations: ['21+62=83'] Exploring Operation: 49-3=46, Resulting Numbers: [83, 46] Generated Node #0,0,0: 93:[83, 46] Operation: 49-3=46 Exploring Operation: 83-49=34, Resulting Numbers: [3, 34] Generated Node #0,0,1: 93:[3, 34] Operation: 83-49=34 Exploring Operation: 3+83=86, Resulting Numbers: [49, 86] Generated Node #0,0,2: 93:[49, 86] Operation: 3+83=86 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 93:[3, 34], Operations: ['21+62=83', '83-49=34'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,93 unequal: No Solution Exploring Operation: 3+34=37, Resulting Numbers: [37] 37,93 unequal: No Solution Exploring Operation: 3*34=102, Resulting Numbers: [102] 102,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 93:[83, 46], Operations: ['21+62=83', '49-3=46'] Exploring Operation: 83+46=129, Resulting Numbers: [129] 129,93 unequal: No Solution Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,93 unequal: No Solution Exploring Operation: 83*46=3818, Resulting Numbers: [3818] 3818,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 93:[49, 86], Operations: ['21+62=83', '3+83=86'] Exploring Operation: 49+86=135, Resulting Numbers: [135] 135,93 unequal: No Solution Exploring Operation: 86-49=37, Resulting Numbers: [37] 37,93 unequal: No Solution Exploring Operation: 49*86=4214, Resulting Numbers: [4214] 4214,93 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 93:[3, 21, 111], Operations: ['49+62=111'] Exploring Operation: 111-21=90, Resulting Numbers: [3, 90] Generated Node #0,1,0: 93:[3, 90] Operation: 111-21=90 Exploring Operation: 21/3=7, Resulting Numbers: [111, 7] Generated Node #0,1,1: 93:[111, 7] Operation: 21/3=7 Exploring Operation: 111/3=37, Resulting Numbers: [21, 37] Generated Node #0,1,2: 93:[21, 37] Operation: 111/3=37 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 93:[3, 90], Operations: ['49+62=111', '111-21=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[3, 49, 21, 62], Operations: [] Exploring Operation: 49+62=111, Resulting Numbers: [3, 21, 111] Generated Node #0,1: 93:[3, 21, 111] Operation: 49+62=111 Moving to Node #0,1 Current State: 93:[3, 21, 111], Operations: ['49+62=111'] Exploring Operation: 111-21=90, Resulting Numbers: [3, 90] Generated Node #0,1,0: 93:[3, 90] Operation: 111-21=90 Moving to Node #0,1,0 Current State: 93:[3, 90], Operations: ['49+62=111', '111-21=90'] Exploring Operation: 3+90=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1
0.977431
hs_3
sum_heuristic
[ 30, 90, 26, 29 ]
94
[ "30*90=2700", "26+2700=2726", "2726/29=94" ]
Current State: 94:[30, 90, 26, 29], Operations: [] Exploring Operation: 30*90=2700, Resulting Numbers: [26, 29, 2700] Generated Node #2: [26, 29, 2700] from Operation: 30*90=2700 Current State: 94:[26, 29, 2700], Operations: ['30*90=2700'] Exploring Operation: 26+2700=2726, Resulting Numbers: [29, 2726] Generated Node #3: [29, 2726] from Operation: 26+2700=2726 Current State: 94:[29, 2726], Operations: ['30*90=2700', '26+2700=2726'] Exploring Operation: 2726/29=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[30, 90, 26, 29], Operations: [] Exploring Operation: 29-26=3, Resulting Numbers: [30, 90, 3] Generated Node #0,0: 94:[30, 90, 3] Operation: 29-26=3 Exploring Operation: 30-29=1, Resulting Numbers: [90, 26, 1] Generated Node #0,1: 94:[90, 26, 1] Operation: 30-29=1 Exploring Operation: 26+29=55, Resulting Numbers: [30, 90, 55] Generated Node #0,2: 94:[30, 90, 55] Operation: 26+29=55 Exploring Operation: 30+26=56, Resulting Numbers: [90, 29, 56] Generated Node #0,3: 94:[90, 29, 56] Operation: 30+26=56 Exploring Operation: 30-26=4, Resulting Numbers: [90, 29, 4] Generated Node #0,4: 94:[90, 29, 4] Operation: 30-26=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[30, 90, 3], Operations: ['29-26=3'] Exploring Operation: 90/30=3, Resulting Numbers: [3, 3] Generated Node #0,0,0: 94:[3, 3] Operation: 90/30=3 Exploring Operation: 30+3=33, Resulting Numbers: [90, 33] Generated Node #0,0,1: 94:[90, 33] Operation: 30+3=33 Exploring Operation: 90-30=60, Resulting Numbers: [3, 60] Generated Node #0,0,2: 94:[3, 60] Operation: 90-30=60 Exploring Operation: 30*3=90, Resulting Numbers: [90, 90] Generated Node #0,0,3: 94:[90, 90] Operation: 30*3=90 Exploring Operation: 30/3=10, Resulting Numbers: [90, 10] Generated Node #0,0,4: 94:[90, 10] Operation: 30/3=10 Moving to Node #0,0,0 Current State: 94:[3, 3], Operations: ['29-26=3', '90/30=3'] Exploring Operation: 3/3=1, Resulting Numbers: [1] 1,94 unequal: No Solution Exploring Operation: 3-3=0, Resulting Numbers: [0] 0,94 unequal: No Solution Exploring Operation: 3*3=9, Resulting Numbers: [9] 9,94 unequal: No Solution Exploring Operation: 3+3=6, Resulting Numbers: [6] 6,94 unequal: No Solution Moving to Node #0,0,3 Current State: 94:[90, 90], Operations: ['29-26=3', '30*3=90'] Exploring Operation: 90+90=180, Resulting Numbers: [180] 180,94 unequal: No Solution Exploring Operation: 90*90=8100, Resulting Numbers: [8100] 8100,94 unequal: No Solution Exploring Operation: 90/90=1, Resulting Numbers: [1] 1,94 unequal: No Solution Exploring Operation: 90-90=0, Resulting Numbers: [0] 0,94 unequal: No Solution Moving to Node #0,0,4 Current State: 94:[90, 10], Operations: ['29-26=3', '30/3=10'] Exploring Operation: 90-10=80, Resulting Numbers: [80] 80,94 unequal: No Solution Exploring Operation: 90/10=9, Resulting Numbers: [9] 9,94 unequal: No Solution Exploring Operation: 90+10=100, Resulting Numbers: [100] 100,94 unequal: No Solution Exploring Operation: 90*10=900, Resulting Numbers: [900] 900,94 unequal: No Solution Moving to Node #0,0,2 Current State: 94:[3, 60], Operations: ['29-26=3', '90-30=60'] Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,94 unequal: No Solution Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,94 unequal: No Solution Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,94 unequal: No Solution Exploring Operation: 3*60=180, Resulting Numbers: [180] 180,94 unequal: No Solution Moving to Node #0,0,1 Current State: 94:[90, 33], Operations: ['29-26=3', '30+3=33'] Exploring Operation: 90*33=2970, Resulting Numbers: [2970] 2970,94 unequal: No Solution Exploring Operation: 90+33=123, Resulting Numbers: [123] 123,94 unequal: No Solution Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 94:[90, 29, 4], Operations: ['30-26=4'] Exploring Operation: 90-29=61, Resulting Numbers: [4, 61] Generated Node #0,4,0: 94:[4, 61] Operation: 90-29=61 Exploring Operation: 29+4=33, Resulting Numbers: [90, 33] Generated Node #0,4,1: 94:[90, 33] Operation: 29+4=33 Exploring Operation: 29*4=116, Resulting Numbers: [90, 116] Generated Node #0,4,2: 94:[90, 116] Operation: 29*4=116 Exploring Operation: 90-4=86, Resulting Numbers: [29, 86] Generated Node #0,4,3: 94:[29, 86] Operation: 90-4=86 Exploring Operation: 90+4=94, Resulting Numbers: [29, 94] Generated Node #0,4,4: 94:[29, 94] Operation: 90+4=94 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 94:[4, 61], Operations: ['30-26=4', '90-29=61'] Exploring Operation: 61-4=57, Resulting Numbers: [57] 57,94 unequal: No Solution Exploring Operation: 4+61=65, Resulting Numbers: [65] 65,94 unequal: No Solution Exploring Operation: 4*61=244, Resulting Numbers: [244] 244,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 94:[90, 33], Operations: ['30-26=4', '29+4=33'] Exploring Operation: 90-33=57, Resulting Numbers: [57] 57,94 unequal: No Solution Exploring Operation: 90*33=2970, Resulting Numbers: [2970] 2970,94 unequal: No Solution Exploring Operation: 90+33=123, Resulting Numbers: [123] 123,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 94:[29, 94], Operations: ['30-26=4', '90+4=94'] Exploring Operation: 94-29=65, Resulting Numbers: [65] 65,94 unequal: No Solution Exploring Operation: 29*94=2726, Resulting Numbers: [2726] 2726,94 unequal: No Solution Exploring Operation: 29+94=123, Resulting Numbers: [123] 123,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 94:[90, 116], Operations: ['30-26=4', '29*4=116'] Exploring Operation: 90*116=10440, Resulting Numbers: [10440] 10440,94 unequal: No Solution Exploring Operation: 90+116=206, Resulting Numbers: [206] 206,94 unequal: No Solution Exploring Operation: 116-90=26, Resulting Numbers: [26] 26,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 94:[29, 86], Operations: ['30-26=4', '90-4=86'] Exploring Operation: 86-29=57, Resulting Numbers: [57] 57,94 unequal: No Solution Exploring Operation: 29+86=115, Resulting Numbers: [115] 115,94 unequal: No Solution Exploring Operation: 29*86=2494, Resulting Numbers: [2494] 2494,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[90, 26, 1], Operations: ['30-29=1'] Exploring Operation: 90+1=91, Resulting Numbers: [26, 91] Generated Node #0,1,0: 94:[26, 91] Operation: 90+1=91 Exploring Operation: 90+26=116, Resulting Numbers: [1, 116] Generated Node #0,1,1: 94:[1, 116] Operation: 90+26=116 Exploring Operation: 90*1=90, Resulting Numbers: [26, 90] Generated Node #0,1,2: 94:[26, 90] Operation: 90*1=90 Exploring Operation: 90-26=64, Resulting Numbers: [1, 64] Generated Node #0,1,3: 94:[1, 64] Operation: 90-26=64 Exploring Operation: 26+1=27, Resulting Numbers: [90, 27] Generated Node #0,1,4: 94:[90, 27] Operation: 26+1=27 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 94:[1, 64], Operations: ['30-29=1', '90-26=64'] Exploring Operation: 1*64=64, Resulting Numbers: [64] 64,94 unequal: No Solution Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,94 unequal: No Solution Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,94 unequal: No Solution Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 94:[1, 116], Operations: ['30-29=1', '90+26=116'] Exploring Operation: 1+116=117, Resulting Numbers: [117] 117,94 unequal: No Solution Exploring Operation: 116/1=116, Resulting Numbers: [116] 116,94 unequal: No Solution Exploring Operation: 1*116=116, Resulting Numbers: [116] 116,94 unequal: No Solution Exploring Operation: 116-1=115, Resulting Numbers: [115] 115,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 94:[26, 91], Operations: ['30-29=1', '90+1=91'] Exploring Operation: 26+91=117, Resulting Numbers: [117] 117,94 unequal: No Solution Exploring Operation: 26*91=2366, Resulting Numbers: [2366] 2366,94 unequal: No Solution Exploring Operation: 91-26=65, Resulting Numbers: [65] 65,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 94:[90, 27], Operations: ['30-29=1', '26+1=27'] Exploring Operation: 90*27=2430, Resulting Numbers: [2430] 2430,94 unequal: No Solution Exploring Operation: 90+27=117, Resulting Numbers: [117] 117,94 unequal: No Solution Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 94:[26, 90], Operations: ['30-29=1', '90*1=90'] Exploring Operation: 26*90=2340, Resulting Numbers: [2340] 2340,94 unequal: No Solution Exploring Operation: 26+90=116, Resulting Numbers: [116] 116,94 unequal: No Solution Exploring Operation: 90-26=64, Resulting Numbers: [64] 64,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 94:[30, 90, 55], Operations: ['26+29=55'] Exploring Operation: 90-30=60, Resulting Numbers: [55, 60] Generated Node #0,2,0: 94:[55, 60] Operation: 90-30=60 Exploring Operation: 90/30=3, Resulting Numbers: [55, 3] Generated Node #0,2,1: 94:[55, 3] Operation: 90/30=3 Exploring Operation: 90-55=35, Resulting Numbers: [30, 35] Generated Node #0,2,2: 94:[30, 35] Operation: 90-55=35 Exploring Operation: 55-30=25, Resulting Numbers: [90, 25] Generated Node #0,2,3: 94:[90, 25] Operation: 55-30=25 Exploring Operation: 30+55=85, Resulting Numbers: [90, 85] Generated Node #0,2,4: 94:[90, 85] Operation: 30+55=85 Moving to Node #0,2,1 Current State: 94:[55, 3], Operations: ['26+29=55', '90/30=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,94 unequal: No Solution Exploring Operation: 55-3=52, Resulting Numbers: [52] 52,94 unequal: No Solution Exploring Operation: 55*3=165, Resulting Numbers: [165] 165,94 unequal: No Solution Moving to Node #0,2,4 Current State: 94:[90, 85], Operations: ['26+29=55', '30+55=85'] Exploring Operation: 90-85=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 90*85=7650, Resulting Numbers: [7650] 7650,94 unequal: No Solution Exploring Operation: 90+85=175, Resulting Numbers: [175] 175,94 unequal: No Solution Moving to Node #0,2,0 Current State: 94:[55, 60], Operations: ['26+29=55', '90-30=60'] Exploring Operation: 60-55=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 55+60=115, Resulting Numbers: [115] 115,94 unequal: No Solution Exploring Operation: 55*60=3300, Resulting Numbers: [3300] 3300,94 unequal: No Solution Moving to Node #0,2,3 Current State: 94:[90, 25], Operations: ['26+29=55', '55-30=25'] Exploring Operation: 90+25=115, Resulting Numbers: [115] 115,94 unequal: No Solution Exploring Operation: 90-25=65, Resulting Numbers: [65] 65,94 unequal: No Solution Exploring Operation: 90*25=2250, Resulting Numbers: [2250] 2250,94 unequal: No Solution Moving to Node #0,2,2 Current State: 94:[30, 35], Operations: ['26+29=55', '90-55=35'] Exploring Operation: 30*35=1050, Resulting Numbers: [1050] 1050,94 unequal: No Solution Exploring Operation: 35-30=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 30+35=65, Resulting Numbers: [65] 65,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 94:[90, 29, 56], Operations: ['30+26=56'] Exploring Operation: 90+29=119, Resulting Numbers: [56, 119] Generated Node #0,3,0: 94:[56, 119] Operation: 90+29=119 Exploring Operation: 90-56=34, Resulting Numbers: [29, 34] Generated Node #0,3,1: 94:[29, 34] Operation: 90-56=34 Exploring Operation: 29+56=85, Resulting Numbers: [90, 85] Generated Node #0,3,2: 94:[90, 85] Operation: 29+56=85 Exploring Operation: 90-29=61, Resulting Numbers: [56, 61] Generated Node #0,3,3: 94:[56, 61] Operation: 90-29=61 Exploring Operation: 56-29=27, Resulting Numbers: [90, 27] Generated Node #0,3,4: 94:[90, 27] Operation: 56-29=27 Moving to Node #0,3,2 Current State: 94:[90, 85], Operations: ['30+26=56', '29+56=85'] Exploring Operation: 90+85=175, Resulting Numbers: [175] 175,94 unequal: No Solution Exploring Operation: 90-85=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 90*85=7650, Resulting Numbers: [7650] 7650,94 unequal: No Solution Moving to Node #0,3,3 Current State: 94:[56, 61], Operations: ['30+26=56', '90-29=61'] Exploring Operation: 61-56=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 56*61=3416, Resulting Numbers: [3416] 3416,94 unequal: No Solution Exploring Operation: 56+61=117, Resulting Numbers: [117] 117,94 unequal: No Solution Moving to Node #0,3,4 Current State: 94:[90, 27], Operations: ['30+26=56', '56-29=27'] Exploring Operation: 90+27=117, Resulting Numbers: [117] 117,94 unequal: No Solution Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,94 unequal: No Solution Exploring Operation: 90*27=2430, Resulting Numbers: [2430] 2430,94 unequal: No Solution Moving to Node #0,3,1 Current State: 94:[29, 34], Operations: ['30+26=56', '90-56=34'] Exploring Operation: 29+34=63, Resulting Numbers: [63] 63,94 unequal: No Solution Exploring Operation: 34-29=5, Resulting Numbers: [5] 5,94 unequal: No Solution Exploring Operation: 29*34=986, Resulting Numbers: [986] 986,94 unequal: No Solution Moving to Node #0,3,0 Current State: 94:[56, 119], Operations: ['30+26=56', '90+29=119'] Exploring Operation: 119-56=63, Resulting Numbers: [63] 63,94 unequal: No Solution Exploring Operation: 56*119=6664, Resulting Numbers: [6664] 6664,94 unequal: No Solution Exploring Operation: 56+119=175, Resulting Numbers: [175] 175,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 21, 2, 39, 83 ]
74
[ "39-21=18", "18/2=9", "83-9=74" ]
Current State: 74:[21, 2, 39, 83], Operations: [] Exploring Operation: 39-21=18, Resulting Numbers: [2, 83, 18] Generated Node #2: [2, 83, 18] from Operation: 39-21=18 Current State: 74:[2, 83, 18], Operations: ['39-21=18'] Exploring Operation: 18/2=9, Resulting Numbers: [83, 9] Generated Node #3: [83, 9] from Operation: 18/2=9 Current State: 74:[83, 9], Operations: ['39-21=18', '18/2=9'] Exploring Operation: 83-9=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[21, 2, 39, 83], Operations: [] Exploring Operation: 83-21=62, Resulting Numbers: [2, 39, 62] Generated Node #0,0: 74:[2, 39, 62] Operation: 83-21=62 Start Sub Search at level 1: Moving to Node #0,0 Current State: 74:[2, 39, 62], Operations: ['83-21=62'] Exploring Operation: 62/2=31, Resulting Numbers: [39, 31] Generated Node #0,0,0: 74:[39, 31] Operation: 62/2=31 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 74:[39, 31], Operations: ['83-21=62', '62/2=31'] Exploring Operation: 39+31=70, Resulting Numbers: [70] 70,74 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 60, 93, 46, 51 ]
15
[ "93-46=47", "51-47=4", "60/4=15" ]
Current State: 15:[60, 93, 46, 51], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [60, 51, 47] Generated Node #2: [60, 51, 47] from Operation: 93-46=47 Current State: 15:[60, 51, 47], Operations: ['93-46=47'] Exploring Operation: 51-47=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 51-47=4 Current State: 15:[60, 4], Operations: ['93-46=47', '51-47=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[60, 93, 46, 51], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [46, 51, 33] Generated Node #0,0: 15:[46, 51, 33] Operation: 93-60=33 Exploring Operation: 93-51=42, Resulting Numbers: [60, 46, 42] Generated Node #0,1: 15:[60, 46, 42] Operation: 93-51=42 Exploring Operation: 60-51=9, Resulting Numbers: [93, 46, 9] Generated Node #0,2: 15:[93, 46, 9] Operation: 60-51=9 Exploring Operation: 60-46=14, Resulting Numbers: [93, 51, 14] Generated Node #0,3: 15:[93, 51, 14] Operation: 60-46=14 Exploring Operation: 93-46=47, Resulting Numbers: [60, 51, 47] Generated Node #0,4: 15:[60, 51, 47] Operation: 93-46=47 Moving to Node #0,0 Current State: 15:[46, 51, 33], Operations: ['93-60=33'] Exploring Operation: 46+33=79, Resulting Numbers: [51, 79] Generated Node #0,0,0: 15:[51, 79] Operation: 46+33=79 Exploring Operation: 46-33=13, Resulting Numbers: [51, 13] Generated Node #0,0,1: 15:[51, 13] Operation: 46-33=13 Exploring Operation: 46+51=97, Resulting Numbers: [33, 97] Generated Node #0,0,2: 15:[33, 97] Operation: 46+51=97 Exploring Operation: 51-46=5, Resulting Numbers: [33, 5] Generated Node #0,0,3: 15:[33, 5] Operation: 51-46=5 Exploring Operation: 51-33=18, Resulting Numbers: [46, 18] Generated Node #0,0,4: 15:[46, 18] Operation: 51-33=18 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 15:[33, 5], Operations: ['93-60=33', '51-46=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 33*5=165, Resulting Numbers: [165] 165,15 unequal: No Solution Exploring Operation: 33+5=38, Resulting Numbers: [38] 38,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 15:[46, 18], Operations: ['93-60=33', '51-33=18'] Exploring Operation: 46*18=828, Resulting Numbers: [828] 828,15 unequal: No Solution Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 46+18=64, Resulting Numbers: [64] 64,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 15:[51, 13], Operations: ['93-60=33', '46-33=13'] Exploring Operation: 51-13=38, Resulting Numbers: [38] 38,15 unequal: No Solution Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 51*13=663, Resulting Numbers: [663] 663,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[51, 79], Operations: ['93-60=33', '46+33=79'] Exploring Operation: 79-51=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 51*79=4029, Resulting Numbers: [4029] 4029,15 unequal: No Solution Exploring Operation: 51+79=130, Resulting Numbers: [130] 130,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 15:[33, 97], Operations: ['93-60=33', '46+51=97'] Exploring Operation: 33*97=3201, Resulting Numbers: [3201] 3201,15 unequal: No Solution Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 33+97=130, Resulting Numbers: [130] 130,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 15:[60, 46, 42], Operations: ['93-51=42'] Exploring Operation: 60+46=106, Resulting Numbers: [42, 106] Generated Node #0,1,0: 15:[42, 106] Operation: 60+46=106 Exploring Operation: 60-46=14, Resulting Numbers: [42, 14] Generated Node #0,1,1: 15:[42, 14] Operation: 60-46=14 Exploring Operation: 60-42=18, Resulting Numbers: [46, 18] Generated Node #0,1,2: 15:[46, 18] Operation: 60-42=18 Exploring Operation: 60+42=102, Resulting Numbers: [46, 102] Generated Node #0,1,3: 15:[46, 102] Operation: 60+42=102 Exploring Operation: 46-42=4, Resulting Numbers: [60, 4] Generated Node #0,1,4: 15:[60, 4] Operation: 46-42=4 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 15:[42, 14], Operations: ['93-51=42', '60-46=14'] Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,15 unequal: No Solution Exploring Operation: 42*14=588, Resulting Numbers: [588] 588,15 unequal: No Solution Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 42+14=56, Resulting Numbers: [56] 56,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 15:[46, 18], Operations: ['93-51=42', '60-42=18'] Exploring Operation: 46+18=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,15 unequal: No Solution Exploring Operation: 46*18=828, Resulting Numbers: [828] 828,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 15:[60, 4], Operations: ['93-51=42', '46-42=4'] Exploring Operation: 60*4=240, Resulting Numbers: [240] 240,15 unequal: No Solution Exploring Operation: 60-4=56, Resulting Numbers: [56] 56,15 unequal: No Solution Exploring Operation: 60+4=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[60, 93, 46, 51], Operations: [] Exploring Operation: 93-51=42, Resulting Numbers: [60, 46, 42] Generated Node #0,1: 15:[60, 46, 42] Operation: 93-51=42 Moving to Node #0,1 Current State: 15:[60, 46, 42], Operations: ['93-51=42'] Exploring Operation: 46-42=4, Resulting Numbers: [60, 4] Generated Node #0,1,4: 15:[60, 4] Operation: 46-42=4 Moving to Node #0,1,4 Current State: 15:[60, 4], Operations: ['93-51=42', '46-42=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 1
0.960938
hs_5
sum_heuristic
[ 2, 41, 8, 41 ]
72
[ "41-2=39", "41-8=33", "39+33=72" ]
Current State: 72:[2, 41, 8, 41], Operations: [] Exploring Operation: 41-2=39, Resulting Numbers: [8, 39] Generated Node #2: [8, 39] from Operation: 41-2=39 Current State: 72:[8, 39], Operations: ['41-2=39'] Exploring Operation: 41-8=33, Resulting Numbers: [39, 33] Generated Node #3: [39, 33] from Operation: 41-8=33 Current State: 72:[39, 33], Operations: ['41-2=39', '41-8=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[2, 41, 8, 41], Operations: [] Exploring Operation: 41-2=39, Resulting Numbers: [41, 8, 39] Generated Node #0,0: 72:[41, 8, 39] Operation: 41-2=39 Exploring Operation: 41/41=1, Resulting Numbers: [2, 8, 1] Generated Node #0,1: 72:[2, 8, 1] Operation: 41/41=1 Exploring Operation: 41-41=0, Resulting Numbers: [2, 8, 0] Generated Node #0,2: 72:[2, 8, 0] Operation: 41-41=0 Exploring Operation: 41-2=39, Resulting Numbers: [8, 41, 39] Generated Node #0,3: 72:[8, 41, 39] Operation: 41-2=39 Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[2, 8, 1], Operations: ['41/41=1'] Exploring Operation: 2/1=2, Resulting Numbers: [8, 2] Generated Node #0,1,0: 72:[8, 2] Operation: 2/1=2 Exploring Operation: 8+1=9, Resulting Numbers: [2, 9] Generated Node #0,1,1: 72:[2, 9] Operation: 8+1=9 Exploring Operation: 2+1=3, Resulting Numbers: [8, 3] Generated Node #0,1,2: 72:[8, 3] Operation: 2+1=3 Exploring Operation: 2*1=2, Resulting Numbers: [8, 2] Generated Node #0,1,3: 72:[8, 2] Operation: 2*1=2 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 72:[8, 2], Operations: ['41/41=1', '2/1=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,72 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 72:[2, 9], Operations: ['41/41=1', '8+1=9'] Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,72 unequal: No Solution Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,72 unequal: No Solution Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,72 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 72:[8, 3], Operations: ['41/41=1', '2+1=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,72 unequal: No Solution Exploring Operation: 8*3=24, Resulting Numbers: [24] 24,72 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,72 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 72:[8, 2], Operations: ['41/41=1', '2*1=2'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,72 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 72:[2, 8, 0], Operations: ['41-41=0'] Exploring Operation: 8-0=8, Resulting Numbers: [2, 8] Generated Node #0,2,0: 72:[2, 8] Operation: 8-0=8 Exploring Operation: 8+0=8, Resulting Numbers: [2, 8] Generated Node #0,2,1: 72:[2, 8] Operation: 8+0=8 Exploring Operation: 2-0=2, Resulting Numbers: [8, 2] Generated Node #0,2,2: 72:[8, 2] Operation: 2-0=2 Exploring Operation: 2+0=2, Resulting Numbers: [8, 2] Generated Node #0,2,3: 72:[8, 2] Operation: 2+0=2 Moving to Node #0,2,0 Current State: 72:[2, 8], Operations: ['41-41=0', '8-0=8'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,72 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,72 unequal: No Solution Moving to Node #0,2,2 Current State: 72:[8, 2], Operations: ['41-41=0', '2-0=2'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,72 unequal: No Solution Moving to Node #0,2,1 Current State: 72:[2, 8], Operations: ['41-41=0', '8+0=8'] Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,72 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Moving to Node #0,2,3 Current State: 72:[8, 2], Operations: ['41-41=0', '2+0=2'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[41, 8, 39], Operations: ['41-2=39'] Exploring Operation: 41-8=33, Resulting Numbers: [39, 33] Generated Node #0,0,0: 72:[39, 33] Operation: 41-8=33 Exploring Operation: 41-39=2, Resulting Numbers: [8, 2] Generated Node #0,0,1: 72:[8, 2] Operation: 41-39=2 Exploring Operation: 39-8=31, Resulting Numbers: [41, 31] Generated Node #0,0,2: 72:[41, 31] Operation: 39-8=31 Exploring Operation: 41+39=80, Resulting Numbers: [8, 80] Generated Node #0,0,3: 72:[8, 80] Operation: 41+39=80 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 72:[8, 2], Operations: ['41-2=39', '41-39=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,72 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,72 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,72 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,72 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 72:[39, 33], Operations: ['41-2=39', '41-8=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[2, 41, 8, 41], Operations: [] Exploring Operation: 41-2=39, Resulting Numbers: [41, 8, 39] Generated Node #0,0: 72:[41, 8, 39] Operation: 41-2=39 Moving to Node #0,0 Current State: 72:[41, 8, 39], Operations: ['41-2=39'] Exploring Operation: 41-8=33, Resulting Numbers: [39, 33] Generated Node #0,0,0: 72:[39, 33] Operation: 41-8=33 Moving to Node #0,0,0 Current State: 72:[39, 33], Operations: ['41-2=39', '41-8=33'] Exploring Operation: 39+33=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.952257
hs_4
mult_heuristic
[ 25, 83, 82, 10 ]
19
[ "25+83=108", "82+108=190", "190/10=19" ]
Current State: 19:[25, 83, 82, 10], Operations: [] Exploring Operation: 25+83=108, Resulting Numbers: [82, 10, 108] Generated Node #2: [82, 10, 108] from Operation: 25+83=108 Current State: 19:[82, 10, 108], Operations: ['25+83=108'] Exploring Operation: 82+108=190, Resulting Numbers: [10, 190] Generated Node #3: [10, 190] from Operation: 82+108=190 Current State: 19:[10, 190], Operations: ['25+83=108', '82+108=190'] Exploring Operation: 190/10=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[25, 83, 82, 10], Operations: [] Exploring Operation: 83-10=73, Resulting Numbers: [25, 82, 73] Generated Node #0,0: 19:[25, 82, 73] Operation: 83-10=73 Exploring Operation: 82-25=57, Resulting Numbers: [83, 10, 57] Generated Node #0,1: 19:[83, 10, 57] Operation: 82-25=57 Exploring Operation: 82-10=72, Resulting Numbers: [25, 83, 72] Generated Node #0,2: 19:[25, 83, 72] Operation: 82-10=72 Exploring Operation: 83-25=58, Resulting Numbers: [82, 10, 58] Generated Node #0,3: 19:[82, 10, 58] Operation: 83-25=58 Exploring Operation: 83-82=1, Resulting Numbers: [25, 10, 1] Generated Node #0,4: 19:[25, 10, 1] Operation: 83-82=1 Moving to Node #0,4 Current State: 19:[25, 10, 1], Operations: ['83-82=1'] Exploring Operation: 25-1=24, Resulting Numbers: [10, 24] Generated Node #0,4,0: 19:[10, 24] Operation: 25-1=24 Exploring Operation: 25*1=25, Resulting Numbers: [10, 25] Generated Node #0,4,1: 19:[10, 25] Operation: 25*1=25 Exploring Operation: 10*1=10, Resulting Numbers: [25, 10] Generated Node #0,4,2: 19:[25, 10] Operation: 10*1=10 Exploring Operation: 10+1=11, Resulting Numbers: [25, 11] Generated Node #0,4,3: 19:[25, 11] Operation: 10+1=11 Exploring Operation: 25/1=25, Resulting Numbers: [10, 25] Generated Node #0,4,4: 19:[10, 25] Operation: 25/1=25 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 19:[10, 24], Operations: ['83-82=1', '25-1=24'] Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 10*24=240, Resulting Numbers: [240] 240,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 19:[25, 11], Operations: ['83-82=1', '10+1=11'] Exploring Operation: 25*11=275, Resulting Numbers: [275] 275,19 unequal: No Solution Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 19:[10, 25], Operations: ['83-82=1', '25*1=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,19 unequal: No Solution Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,19 unequal: No Solution Exploring Operation: 10*25=250, Resulting Numbers: [250] 250,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 19:[25, 10], Operations: ['83-82=1', '10*1=10'] Exploring Operation: 25*10=250, Resulting Numbers: [250] 250,19 unequal: No Solution Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,19 unequal: No Solution Exploring Operation: 25+10=35, Resulting Numbers: [35] 35,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 19:[10, 25], Operations: ['83-82=1', '25/1=25'] Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,19 unequal: No Solution Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,19 unequal: No Solution Exploring Operation: 10*25=250, Resulting Numbers: [250] 250,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 19:[82, 10, 58], Operations: ['83-25=58'] Exploring Operation: 82-10=72, Resulting Numbers: [58, 72] Generated Node #0,3,0: 19:[58, 72] Operation: 82-10=72 Exploring Operation: 82+10=92, Resulting Numbers: [58, 92] Generated Node #0,3,1: 19:[58, 92] Operation: 82+10=92 Exploring Operation: 10+58=68, Resulting Numbers: [82, 68] Generated Node #0,3,2: 19:[82, 68] Operation: 10+58=68 Exploring Operation: 58-10=48, Resulting Numbers: [82, 48] Generated Node #0,3,3: 19:[82, 48] Operation: 58-10=48 Exploring Operation: 82-58=24, Resulting Numbers: [10, 24] Generated Node #0,3,4: 19:[10, 24] Operation: 82-58=24 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 19:[10, 24], Operations: ['83-25=58', '82-58=24'] Exploring Operation: 10*24=240, Resulting Numbers: [240] 240,19 unequal: No Solution Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 19:[58, 72], Operations: ['83-25=58', '82-10=72'] Exploring Operation: 72-58=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 58*72=4176, Resulting Numbers: [4176] 4176,19 unequal: No Solution Exploring Operation: 58+72=130, Resulting Numbers: [130] 130,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 19:[82, 48], Operations: ['83-25=58', '58-10=48'] Exploring Operation: 82*48=3936, Resulting Numbers: [3936] 3936,19 unequal: No Solution Exploring Operation: 82+48=130, Resulting Numbers: [130] 130,19 unequal: No Solution Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 19:[58, 92], Operations: ['83-25=58', '82+10=92'] Exploring Operation: 92-58=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 58+92=150, Resulting Numbers: [150] 150,19 unequal: No Solution Exploring Operation: 58*92=5336, Resulting Numbers: [5336] 5336,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 19:[82, 68], Operations: ['83-25=58', '10+58=68'] Exploring Operation: 82*68=5576, Resulting Numbers: [5576] 5576,19 unequal: No Solution Exploring Operation: 82-68=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 82+68=150, Resulting Numbers: [150] 150,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 19:[83, 10, 57], Operations: ['82-25=57'] Exploring Operation: 10+57=67, Resulting Numbers: [83, 67] Generated Node #0,1,0: 19:[83, 67] Operation: 10+57=67 Exploring Operation: 83-57=26, Resulting Numbers: [10, 26] Generated Node #0,1,1: 19:[10, 26] Operation: 83-57=26 Exploring Operation: 83-10=73, Resulting Numbers: [57, 73] Generated Node #0,1,2: 19:[57, 73] Operation: 83-10=73 Exploring Operation: 83+10=93, Resulting Numbers: [57, 93] Generated Node #0,1,3: 19:[57, 93] Operation: 83+10=93 Exploring Operation: 57-10=47, Resulting Numbers: [83, 47] Generated Node #0,1,4: 19:[83, 47] Operation: 57-10=47 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 19:[10, 26], Operations: ['82-25=57', '83-57=26'] Exploring Operation: 10+26=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,19 unequal: No Solution Exploring Operation: 10*26=260, Resulting Numbers: [260] 260,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 19:[57, 73], Operations: ['82-25=57', '83-10=73'] Exploring Operation: 57+73=130, Resulting Numbers: [130] 130,19 unequal: No Solution Exploring Operation: 57*73=4161, Resulting Numbers: [4161] 4161,19 unequal: No Solution Exploring Operation: 73-57=16, Resulting Numbers: [16] 16,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 19:[83, 47], Operations: ['82-25=57', '57-10=47'] Exploring Operation: 83-47=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 83+47=130, Resulting Numbers: [130] 130,19 unequal: No Solution Exploring Operation: 83*47=3901, Resulting Numbers: [3901] 3901,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 19:[83, 67], Operations: ['82-25=57', '10+57=67'] Exploring Operation: 83*67=5561, Resulting Numbers: [5561] 5561,19 unequal: No Solution Exploring Operation: 83-67=16, Resulting Numbers: [16] 16,19 unequal: No Solution Exploring Operation: 83+67=150, Resulting Numbers: [150] 150,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 19:[57, 93], Operations: ['82-25=57', '83+10=93'] Exploring Operation: 57*93=5301, Resulting Numbers: [5301] 5301,19 unequal: No Solution Exploring Operation: 93-57=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 57+93=150, Resulting Numbers: [150] 150,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 19:[25, 82, 73], Operations: ['83-10=73'] Exploring Operation: 82-25=57, Resulting Numbers: [73, 57] Generated Node #0,0,0: 19:[73, 57] Operation: 82-25=57 Exploring Operation: 82-73=9, Resulting Numbers: [25, 9] Generated Node #0,0,1: 19:[25, 9] Operation: 82-73=9 Exploring Operation: 25+82=107, Resulting Numbers: [73, 107] Generated Node #0,0,2: 19:[73, 107] Operation: 25+82=107 Exploring Operation: 73-25=48, Resulting Numbers: [82, 48] Generated Node #0,0,3: 19:[82, 48] Operation: 73-25=48 Exploring Operation: 25+73=98, Resulting Numbers: [82, 98] Generated Node #0,0,4: 19:[82, 98] Operation: 25+73=98 Moving to Node #0,2 Current State: 19:[25, 83, 72], Operations: ['82-10=72'] Exploring Operation: 25+72=97, Resulting Numbers: [83, 97] Generated Node #0,2,0: 19:[83, 97] Operation: 25+72=97 Exploring Operation: 72-25=47, Resulting Numbers: [83, 47] Generated Node #0,2,1: 19:[83, 47] Operation: 72-25=47 Exploring Operation: 83-25=58, Resulting Numbers: [72, 58] Generated Node #0,2,2: 19:[72, 58] Operation: 83-25=58 Exploring Operation: 25+83=108, Resulting Numbers: [72, 108] Generated Node #0,2,3: 19:[72, 108] Operation: 25+83=108 Exploring Operation: 83-72=11, Resulting Numbers: [25, 11] Generated Node #0,2,4: 19:[25, 11] Operation: 83-72=11 Moving to Node #0,2,4 Current State: 19:[25, 11], Operations: ['82-10=72', '83-72=11'] Exploring Operation: 25+11=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 25-11=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 25*11=275, Resulting Numbers: [275] 275,19 unequal: No Solution Moving to Node #0,0,1 Current State: 19:[25, 9], Operations: ['83-10=73', '82-73=9'] Exploring Operation: 25*9=225, Resulting Numbers: [225] 225,19 unequal: No Solution Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,19 unequal: No Solution Exploring Operation: 25+9=34, Resulting Numbers: [34] 34,19 unequal: No Solution Moving to Node #0,2,1 Current State: 19:[83, 47], Operations: ['82-10=72', '72-25=47'] Exploring Operation: 83*47=3901, Resulting Numbers: [3901] 3901,19 unequal: No Solution Exploring Operation: 83+47=130, Resulting Numbers: [130] 130,19 unequal: No Solution Exploring Operation: 83-47=36, Resulting Numbers: [36] 36,19 unequal: No Solution Moving to Node #0,0,3 Current State: 19:[82, 48], Operations: ['83-10=73', '73-25=48'] Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 82+48=130, Resulting Numbers: [130] 130,19 unequal: No Solution Exploring Operation: 82*48=3936, Resulting Numbers: [3936] 3936,19 unequal: No Solution Moving to Node #0,0,0 Current State: 19:[73, 57], Operations: ['83-10=73', '82-25=57'] Exploring Operation: 73*57=4161, Resulting Numbers: [4161] 4161,19 unequal: No Solution Exploring Operation: 73-57=16, Resulting Numbers: [16] 16,19 unequal: No Solution Exploring Operation: 73+57=130, Resulting Numbers: [130] 130,19 unequal: No Solution Moving to Node #0,2,2 Current State: 19:[72, 58], Operations: ['82-10=72', '83-25=58'] Exploring Operation: 72*58=4176, Resulting Numbers: [4176] 4176,19 unequal: No Solution Exploring Operation: 72-58=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 72+58=130, Resulting Numbers: [130] 130,19 unequal: No Solution Moving to Node #0,2,3 Current State: 19:[72, 108], Operations: ['82-10=72', '25+83=108'] Exploring Operation: 72*108=7776, Resulting Numbers: [7776] 7776,19 unequal: No Solution Exploring Operation: 108-72=36, Resulting Numbers: [36] 36,19 unequal: No Solution Exploring Operation: 72+108=180, Resulting Numbers: [180] 180,19 unequal: No Solution Moving to Node #0,2,0 Current State: 19:[83, 97], Operations: ['82-10=72', '25+72=97'] Exploring Operation: 83+97=180, Resulting Numbers: [180] 180,19 unequal: No Solution Exploring Operation: 97-83=14, Resulting Numbers: [14] 14,19 unequal: No Solution Exploring Operation: 83*97=8051, Resulting Numbers: [8051] 8051,19 unequal: No Solution Moving to Node #0,0,4 Current State: 19:[82, 98], Operations: ['83-10=73', '25+73=98'] Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,19 unequal: No Solution Exploring Operation: 82+98=180, Resulting Numbers: [180] 180,19 unequal: No Solution Exploring Operation: 82*98=8036, Resulting Numbers: [8036] 8036,19 unequal: No Solution Moving to Node #0,0,2 Current State: 19:[73, 107], Operations: ['83-10=73', '25+82=107'] Exploring Operation: 73+107=180, Resulting Numbers: [180] 180,19 unequal: No Solution Exploring Operation: 73*107=7811, Resulting Numbers: [7811] 7811,19 unequal: No Solution Exploring Operation: 107-73=34, Resulting Numbers: [34] 34,19 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 54, 81, 71, 45 ]
80
[ "54-45=9", "81/9=9", "71+9=80" ]
Current State: 80:[54, 81, 71, 45], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [81, 71, 9] Generated Node #2: [81, 71, 9] from Operation: 54-45=9 Current State: 80:[81, 71, 9], Operations: ['54-45=9'] Exploring Operation: 81/9=9, Resulting Numbers: [71, 9] Generated Node #3: [71, 9] from Operation: 81/9=9 Current State: 80:[71, 9], Operations: ['54-45=9', '81/9=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[54, 81, 71, 45], Operations: [] Exploring Operation: 81-71=10, Resulting Numbers: [54, 45, 10] Generated Node #0,0: 80:[54, 45, 10] Operation: 81-71=10 Exploring Operation: 71-54=17, Resulting Numbers: [81, 45, 17] Generated Node #0,1: 80:[81, 45, 17] Operation: 71-54=17 Exploring Operation: 81-54=27, Resulting Numbers: [71, 45, 27] Generated Node #0,2: 80:[71, 45, 27] Operation: 81-54=27 Exploring Operation: 54-45=9, Resulting Numbers: [81, 71, 9] Generated Node #0,3: 80:[81, 71, 9] Operation: 54-45=9 Exploring Operation: 71-45=26, Resulting Numbers: [54, 81, 26] Generated Node #0,4: 80:[54, 81, 26] Operation: 71-45=26 Moving to Node #0,1 Current State: 80:[81, 45, 17], Operations: ['71-54=17'] Exploring Operation: 81-45=36, Resulting Numbers: [17, 36] Generated Node #0,1,0: 80:[17, 36] Operation: 81-45=36 Exploring Operation: 81+17=98, Resulting Numbers: [45, 98] Generated Node #0,1,1: 80:[45, 98] Operation: 81+17=98 Exploring Operation: 45+17=62, Resulting Numbers: [81, 62] Generated Node #0,1,2: 80:[81, 62] Operation: 45+17=62 Exploring Operation: 81-17=64, Resulting Numbers: [45, 64] Generated Node #0,1,3: 80:[45, 64] Operation: 81-17=64 Exploring Operation: 45-17=28, Resulting Numbers: [81, 28] Generated Node #0,1,4: 80:[81, 28] Operation: 45-17=28 Moving to Node #0,3 Current State: 80:[81, 71, 9], Operations: ['54-45=9'] Exploring Operation: 81/9=9, Resulting Numbers: [71, 9] Generated Node #0,3,0: 80:[71, 9] Operation: 81/9=9 Exploring Operation: 71+9=80, Resulting Numbers: [81, 80] Generated Node #0,3,1: 80:[81, 80] Operation: 71+9=80 Exploring Operation: 81-71=10, Resulting Numbers: [9, 10] Generated Node #0,3,2: 80:[9, 10] Operation: 81-71=10 Exploring Operation: 81-9=72, Resulting Numbers: [71, 72] Generated Node #0,3,3: 80:[71, 72] Operation: 81-9=72 Exploring Operation: 81+9=90, Resulting Numbers: [71, 90] Generated Node #0,3,4: 80:[71, 90] Operation: 81+9=90 Moving to Node #0,0 Current State: 80:[54, 45, 10], Operations: ['81-71=10'] Exploring Operation: 54+45=99, Resulting Numbers: [10, 99] Generated Node #0,0,0: 80:[10, 99] Operation: 54+45=99 Exploring Operation: 54+10=64, Resulting Numbers: [45, 64] Generated Node #0,0,1: 80:[45, 64] Operation: 54+10=64 Exploring Operation: 45-10=35, Resulting Numbers: [54, 35] Generated Node #0,0,2: 80:[54, 35] Operation: 45-10=35 Exploring Operation: 54-10=44, Resulting Numbers: [45, 44] Generated Node #0,0,3: 80:[45, 44] Operation: 54-10=44 Exploring Operation: 54-45=9, Resulting Numbers: [10, 9] Generated Node #0,0,4: 80:[10, 9] Operation: 54-45=9 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 80:[10, 9], Operations: ['81-71=10', '54-45=9'] Exploring Operation: 10+9=19, Resulting Numbers: [19] 19,80 unequal: No Solution Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 10*9=90, Resulting Numbers: [90] 90,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 80:[45, 44], Operations: ['81-71=10', '54-10=44'] Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 45*44=1980, Resulting Numbers: [1980] 1980,80 unequal: No Solution Exploring Operation: 45+44=89, Resulting Numbers: [89] 89,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 80:[10, 99], Operations: ['81-71=10', '54+45=99'] Exploring Operation: 10+99=109, Resulting Numbers: [109] 109,80 unequal: No Solution Exploring Operation: 10*99=990, Resulting Numbers: [990] 990,80 unequal: No Solution Exploring Operation: 99-10=89, Resulting Numbers: [89] 89,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 80:[54, 35], Operations: ['81-71=10', '45-10=35'] Exploring Operation: 54-35=19, Resulting Numbers: [19] 19,80 unequal: No Solution Exploring Operation: 54*35=1890, Resulting Numbers: [1890] 1890,80 unequal: No Solution Exploring Operation: 54+35=89, Resulting Numbers: [89] 89,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 80:[45, 64], Operations: ['81-71=10', '54+10=64'] Exploring Operation: 45+64=109, Resulting Numbers: [109] 109,80 unequal: No Solution Exploring Operation: 45*64=2880, Resulting Numbers: [2880] 2880,80 unequal: No Solution Exploring Operation: 64-45=19, Resulting Numbers: [19] 19,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 80:[71, 45, 27], Operations: ['81-54=27'] Exploring Operation: 71-45=26, Resulting Numbers: [27, 26] Generated Node #0,2,0: 80:[27, 26] Operation: 71-45=26 Exploring Operation: 45-27=18, Resulting Numbers: [71, 18] Generated Node #0,2,1: 80:[71, 18] Operation: 45-27=18 Exploring Operation: 71-27=44, Resulting Numbers: [45, 44] Generated Node #0,2,2: 80:[45, 44] Operation: 71-27=44 Exploring Operation: 45+27=72, Resulting Numbers: [71, 72] Generated Node #0,2,3: 80:[71, 72] Operation: 45+27=72 Exploring Operation: 71+27=98, Resulting Numbers: [45, 98] Generated Node #0,2,4: 80:[45, 98] Operation: 71+27=98 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 80:[45, 44], Operations: ['81-54=27', '71-27=44'] Exploring Operation: 45*44=1980, Resulting Numbers: [1980] 1980,80 unequal: No Solution Exploring Operation: 45+44=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 80:[71, 18], Operations: ['81-54=27', '45-27=18'] Exploring Operation: 71+18=89, Resulting Numbers: [89] 89,80 unequal: No Solution Exploring Operation: 71-18=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 71*18=1278, Resulting Numbers: [1278] 1278,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 80:[27, 26], Operations: ['81-54=27', '71-45=26'] Exploring Operation: 27+26=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 27*26=702, Resulting Numbers: [702] 702,80 unequal: No Solution Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 80:[71, 72], Operations: ['81-54=27', '45+27=72'] Exploring Operation: 71*72=5112, Resulting Numbers: [5112] 5112,80 unequal: No Solution Exploring Operation: 71+72=143, Resulting Numbers: [143] 143,80 unequal: No Solution Exploring Operation: 72-71=1, Resulting Numbers: [1] 1,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 80:[45, 98], Operations: ['81-54=27', '71+27=98'] Exploring Operation: 45+98=143, Resulting Numbers: [143] 143,80 unequal: No Solution Exploring Operation: 98-45=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 45*98=4410, Resulting Numbers: [4410] 4410,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 80:[54, 81, 26], Operations: ['71-45=26'] Exploring Operation: 54-26=28, Resulting Numbers: [81, 28] Generated Node #0,4,0: 80:[81, 28] Operation: 54-26=28 Exploring Operation: 81-26=55, Resulting Numbers: [54, 55] Generated Node #0,4,1: 80:[54, 55] Operation: 81-26=55 Exploring Operation: 81-54=27, Resulting Numbers: [26, 27] Generated Node #0,4,2: 80:[26, 27] Operation: 81-54=27 Exploring Operation: 81+26=107, Resulting Numbers: [54, 107] Generated Node #0,4,3: 80:[54, 107] Operation: 81+26=107 Exploring Operation: 54+26=80, Resulting Numbers: [81, 80] Generated Node #0,4,4: 80:[81, 80] Operation: 54+26=80 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 80:[81, 80], Operations: ['71-45=26', '54+26=80'] Exploring Operation: 81+80=161, Resulting Numbers: [161] 161,80 unequal: No Solution Exploring Operation: 81-80=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 81*80=6480, Resulting Numbers: [6480] 6480,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 80:[81, 28], Operations: ['71-45=26', '54-26=28'] Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 81+28=109, Resulting Numbers: [109] 109,80 unequal: No Solution Exploring Operation: 81*28=2268, Resulting Numbers: [2268] 2268,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 80:[26, 27], Operations: ['71-45=26', '81-54=27'] Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 26*27=702, Resulting Numbers: [702] 702,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 80:[54, 55], Operations: ['71-45=26', '81-26=55'] Exploring Operation: 54*55=2970, Resulting Numbers: [2970] 2970,80 unequal: No Solution Exploring Operation: 55-54=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 54+55=109, Resulting Numbers: [109] 109,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 80:[54, 107], Operations: ['71-45=26', '81+26=107'] Exploring Operation: 107-54=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 54*107=5778, Resulting Numbers: [5778] 5778,80 unequal: No Solution Exploring Operation: 54+107=161, Resulting Numbers: [161] 161,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,1 Current State: 80:[81, 80], Operations: ['54-45=9', '71+9=80'] Exploring Operation: 81-80=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 81*80=6480, Resulting Numbers: [6480] 6480,80 unequal: No Solution Exploring Operation: 81+80=161, Resulting Numbers: [161] 161,80 unequal: No Solution Moving to Node #0,3,2 Current State: 80:[9, 10], Operations: ['54-45=9', '81-71=10'] Exploring Operation: 9+10=19, Resulting Numbers: [19] 19,80 unequal: No Solution Exploring Operation: 9*10=90, Resulting Numbers: [90] 90,80 unequal: No Solution Exploring Operation: 10-9=1, Resulting Numbers: [1] 1,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[17, 36], Operations: ['71-54=17', '81-45=36'] Exploring Operation: 36-17=19, Resulting Numbers: [19] 19,80 unequal: No Solution Exploring Operation: 17*36=612, Resulting Numbers: [612] 612,80 unequal: No Solution Exploring Operation: 17+36=53, Resulting Numbers: [53] 53,80 unequal: No Solution Moving to Node #0,1,4 Current State: 80:[81, 28], Operations: ['71-54=17', '45-17=28'] Exploring Operation: 81+28=109, Resulting Numbers: [109] 109,80 unequal: No Solution Exploring Operation: 81-28=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 81*28=2268, Resulting Numbers: [2268] 2268,80 unequal: No Solution Moving to Node #0,3,0 Current State: 80:[71, 9], Operations: ['54-45=9', '81/9=9'] Exploring Operation: 71*9=639, Resulting Numbers: [639] 639,80 unequal: No Solution Exploring Operation: 71-9=62, Resulting Numbers: [62] 62,80 unequal: No Solution Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[54, 81, 71, 45], Operations: [] Exploring Operation: 54-45=9, Resulting Numbers: [81, 71, 9] Generated Node #0,3: 80:[81, 71, 9] Operation: 54-45=9 Moving to Node #0,3 Current State: 80:[81, 71, 9], Operations: ['54-45=9'] Exploring Operation: 81/9=9, Resulting Numbers: [71, 9] Generated Node #0,3,0: 80:[71, 9] Operation: 81/9=9 Moving to Node #0,3,0 Current State: 80:[71, 9], Operations: ['54-45=9', '81/9=9'] Exploring Operation: 71+9=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
0.918403
hs_5
sum_heuristic
[ 33, 70, 13, 67 ]
91
[ "70-33=37", "67-13=54", "37+54=91" ]
Current State: 91:[33, 70, 13, 67], Operations: [] Exploring Operation: 70-33=37, Resulting Numbers: [13, 67, 37] Generated Node #2: [13, 67, 37] from Operation: 70-33=37 Current State: 91:[13, 67, 37], Operations: ['70-33=37'] Exploring Operation: 67-13=54, Resulting Numbers: [37, 54] Generated Node #3: [37, 54] from Operation: 67-13=54 Current State: 91:[37, 54], Operations: ['70-33=37', '67-13=54'] Exploring Operation: 37+54=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[33, 70, 13, 67], Operations: [] Exploring Operation: 70-67=3, Resulting Numbers: [33, 13, 3] Generated Node #0,0: 91:[33, 13, 3] Operation: 70-67=3 Exploring Operation: 33+67=100, Resulting Numbers: [70, 13, 100] Generated Node #0,1: 91:[70, 13, 100] Operation: 33+67=100 Exploring Operation: 67-33=34, Resulting Numbers: [70, 13, 34] Generated Node #0,2: 91:[70, 13, 34] Operation: 67-33=34 Exploring Operation: 33+70=103, Resulting Numbers: [13, 67, 103] Generated Node #0,3: 91:[13, 67, 103] Operation: 33+70=103 Exploring Operation: 70-33=37, Resulting Numbers: [13, 67, 37] Generated Node #0,4: 91:[13, 67, 37] Operation: 70-33=37 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[33, 13, 3], Operations: ['70-67=3'] Exploring Operation: 33+3=36, Resulting Numbers: [13, 36] Generated Node #0,0,0: 91:[13, 36] Operation: 33+3=36 Exploring Operation: 33*3=99, Resulting Numbers: [13, 99] Generated Node #0,0,1: 91:[13, 99] Operation: 33*3=99 Exploring Operation: 33-3=30, Resulting Numbers: [13, 30] Generated Node #0,0,2: 91:[13, 30] Operation: 33-3=30 Exploring Operation: 33/3=11, Resulting Numbers: [13, 11] Generated Node #0,0,3: 91:[13, 11] Operation: 33/3=11 Exploring Operation: 33-13=20, Resulting Numbers: [3, 20] Generated Node #0,0,4: 91:[3, 20] Operation: 33-13=20 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 91:[13, 11], Operations: ['70-67=3', '33/3=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,91 unequal: No Solution Exploring Operation: 13*11=143, Resulting Numbers: [143] 143,91 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 91:[13, 99], Operations: ['70-67=3', '33*3=99'] Exploring Operation: 99-13=86, Resulting Numbers: [86] 86,91 unequal: No Solution Exploring Operation: 13+99=112, Resulting Numbers: [112] 112,91 unequal: No Solution Exploring Operation: 13*99=1287, Resulting Numbers: [1287] 1287,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 91:[3, 20], Operations: ['70-67=3', '33-13=20'] Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,91 unequal: No Solution Exploring Operation: 3+20=23, Resulting Numbers: [23] 23,91 unequal: No Solution Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 91:[13, 30], Operations: ['70-67=3', '33-3=30'] Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,91 unequal: No Solution Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,91 unequal: No Solution Exploring Operation: 13*30=390, Resulting Numbers: [390] 390,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[13, 36], Operations: ['70-67=3', '33+3=36'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,91 unequal: No Solution Exploring Operation: 13*36=468, Resulting Numbers: [468] 468,91 unequal: No Solution Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[70, 13, 100], Operations: ['33+67=100'] Exploring Operation: 100-70=30, Resulting Numbers: [13, 30] Generated Node #0,1,0: 91:[13, 30] Operation: 100-70=30 Exploring Operation: 13+100=113, Resulting Numbers: [70, 113] Generated Node #0,1,1: 91:[70, 113] Operation: 13+100=113 Exploring Operation: 70+13=83, Resulting Numbers: [100, 83] Generated Node #0,1,2: 91:[100, 83] Operation: 70+13=83 Exploring Operation: 70-13=57, Resulting Numbers: [100, 57] Generated Node #0,1,3: 91:[100, 57] Operation: 70-13=57 Exploring Operation: 100-13=87, Resulting Numbers: [70, 87] Generated Node #0,1,4: 91:[70, 87] Operation: 100-13=87 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 91:[13, 30], Operations: ['33+67=100', '100-70=30'] Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,91 unequal: No Solution Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,91 unequal: No Solution Exploring Operation: 13*30=390, Resulting Numbers: [390] 390,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 91:[100, 83], Operations: ['33+67=100', '70+13=83'] Exploring Operation: 100*83=8300, Resulting Numbers: [8300] 8300,91 unequal: No Solution Exploring Operation: 100+83=183, Resulting Numbers: [183] 183,91 unequal: No Solution Exploring Operation: 100-83=17, Resulting Numbers: [17] 17,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 91:[70, 87], Operations: ['33+67=100', '100-13=87'] Exploring Operation: 70*87=6090, Resulting Numbers: [6090] 6090,91 unequal: No Solution Exploring Operation: 70+87=157, Resulting Numbers: [157] 157,91 unequal: No Solution Exploring Operation: 87-70=17, Resulting Numbers: [17] 17,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 91:[70, 113], Operations: ['33+67=100', '13+100=113'] Exploring Operation: 70*113=7910, Resulting Numbers: [7910] 7910,91 unequal: No Solution Exploring Operation: 70+113=183, Resulting Numbers: [183] 183,91 unequal: No Solution Exploring Operation: 113-70=43, Resulting Numbers: [43] 43,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 91:[100, 57], Operations: ['33+67=100', '70-13=57'] Exploring Operation: 100*57=5700, Resulting Numbers: [5700] 5700,91 unequal: No Solution Exploring Operation: 100+57=157, Resulting Numbers: [157] 157,91 unequal: No Solution Exploring Operation: 100-57=43, Resulting Numbers: [43] 43,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 91:[13, 67, 103], Operations: ['33+70=103'] Exploring Operation: 103-67=36, Resulting Numbers: [13, 36] Generated Node #0,3,0: 91:[13, 36] Operation: 103-67=36 Exploring Operation: 103-13=90, Resulting Numbers: [67, 90] Generated Node #0,3,1: 91:[67, 90] Operation: 103-13=90 Exploring Operation: 13+103=116, Resulting Numbers: [67, 116] Generated Node #0,3,2: 91:[67, 116] Operation: 13+103=116 Exploring Operation: 67-13=54, Resulting Numbers: [103, 54] Generated Node #0,3,3: 91:[103, 54] Operation: 67-13=54 Exploring Operation: 13+67=80, Resulting Numbers: [103, 80] Generated Node #0,3,4: 91:[103, 80] Operation: 13+67=80 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 91:[13, 36], Operations: ['33+70=103', '103-67=36'] Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,91 unequal: No Solution Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,91 unequal: No Solution Exploring Operation: 13*36=468, Resulting Numbers: [468] 468,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 91:[103, 80], Operations: ['33+70=103', '13+67=80'] Exploring Operation: 103*80=8240, Resulting Numbers: [8240] 8240,91 unequal: No Solution Exploring Operation: 103+80=183, Resulting Numbers: [183] 183,91 unequal: No Solution Exploring Operation: 103-80=23, Resulting Numbers: [23] 23,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 91:[67, 90], Operations: ['33+70=103', '103-13=90'] Exploring Operation: 67+90=157, Resulting Numbers: [157] 157,91 unequal: No Solution Exploring Operation: 90-67=23, Resulting Numbers: [23] 23,91 unequal: No Solution Exploring Operation: 67*90=6030, Resulting Numbers: [6030] 6030,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 91:[67, 116], Operations: ['33+70=103', '13+103=116'] Exploring Operation: 67+116=183, Resulting Numbers: [183] 183,91 unequal: No Solution Exploring Operation: 116-67=49, Resulting Numbers: [49] 49,91 unequal: No Solution Exploring Operation: 67*116=7772, Resulting Numbers: [7772] 7772,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 91:[103, 54], Operations: ['33+70=103', '67-13=54'] Exploring Operation: 103+54=157, Resulting Numbers: [157] 157,91 unequal: No Solution Exploring Operation: 103-54=49, Resulting Numbers: [49] 49,91 unequal: No Solution Exploring Operation: 103*54=5562, Resulting Numbers: [5562] 5562,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 91:[70, 13, 34], Operations: ['67-33=34'] Exploring Operation: 70-13=57, Resulting Numbers: [34, 57] Generated Node #0,2,0: 91:[34, 57] Operation: 70-13=57 Exploring Operation: 70+34=104, Resulting Numbers: [13, 104] Generated Node #0,2,1: 91:[13, 104] Operation: 70+34=104 Exploring Operation: 34-13=21, Resulting Numbers: [70, 21] Generated Node #0,2,2: 91:[70, 21] Operation: 34-13=21 Exploring Operation: 70-34=36, Resulting Numbers: [13, 36] Generated Node #0,2,3: 91:[13, 36] Operation: 70-34=36 Exploring Operation: 70+13=83, Resulting Numbers: [34, 83] Generated Node #0,2,4: 91:[34, 83] Operation: 70+13=83 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 91:[13, 104], Operations: ['67-33=34', '70+34=104'] Exploring Operation: 13+104=117, Resulting Numbers: [117] 117,91 unequal: No Solution Exploring Operation: 104-13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[33, 70, 13, 67], Operations: [] Exploring Operation: 67-33=34, Resulting Numbers: [70, 13, 34] Generated Node #0,2: 91:[70, 13, 34] Operation: 67-33=34 Moving to Node #0,2 Current State: 91:[70, 13, 34], Operations: ['67-33=34'] Exploring Operation: 70+34=104, Resulting Numbers: [13, 104] Generated Node #0,2,1: 91:[13, 104] Operation: 70+34=104 Moving to Node #0,2,1 Current State: 91:[13, 104], Operations: ['67-33=34', '70+34=104'] Exploring Operation: 104-13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.934028
hs_5
sum_heuristic
[ 17, 10, 30, 43 ]
100
[ "17+10=27", "30+43=73", "27+73=100" ]
Current State: 100:[17, 10, 30, 43], Operations: [] Exploring Operation: 17+10=27, Resulting Numbers: [30, 43, 27] Generated Node #2: [30, 43, 27] from Operation: 17+10=27 Current State: 100:[30, 43, 27], Operations: ['17+10=27'] Exploring Operation: 30+43=73, Resulting Numbers: [27, 73] Generated Node #3: [27, 73] from Operation: 30+43=73 Current State: 100:[27, 73], Operations: ['17+10=27', '30+43=73'] Exploring Operation: 27+73=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[17, 10, 30, 43], Operations: [] Exploring Operation: 17+30=47, Resulting Numbers: [10, 43, 47] Generated Node #0,0: 100:[10, 43, 47] Operation: 17+30=47 Exploring Operation: 43-17=26, Resulting Numbers: [10, 30, 26] Generated Node #0,1: 100:[10, 30, 26] Operation: 43-17=26 Exploring Operation: 43-30=13, Resulting Numbers: [17, 10, 13] Generated Node #0,2: 100:[17, 10, 13] Operation: 43-30=13 Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[10, 30, 26], Operations: ['43-17=26'] Exploring Operation: 30-26=4, Resulting Numbers: [10, 4] Generated Node #0,1,0: 100:[10, 4] Operation: 30-26=4 Exploring Operation: 30/10=3, Resulting Numbers: [26, 3] Generated Node #0,1,1: 100:[26, 3] Operation: 30/10=3 Exploring Operation: 30-10=20, Resulting Numbers: [26, 20] Generated Node #0,1,2: 100:[26, 20] Operation: 30-10=20 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 100:[10, 4], Operations: ['43-17=26', '30-26=4'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,100 unequal: No Solution Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,100 unequal: No Solution Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 100:[26, 20], Operations: ['43-17=26', '30-10=20'] Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,100 unequal: No Solution Exploring Operation: 26*20=520, Resulting Numbers: [520] 520,100 unequal: No Solution Exploring Operation: 26+20=46, Resulting Numbers: [46] 46,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 100:[26, 3], Operations: ['43-17=26', '30/10=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,100 unequal: No Solution Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,100 unequal: No Solution Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 100:[17, 10, 13], Operations: ['43-30=13'] Exploring Operation: 13-10=3, Resulting Numbers: [17, 3] Generated Node #0,2,0: 100:[17, 3] Operation: 13-10=3 Exploring Operation: 17-13=4, Resulting Numbers: [10, 4] Generated Node #0,2,1: 100:[10, 4] Operation: 17-13=4 Exploring Operation: 17+10=27, Resulting Numbers: [13, 27] Generated Node #0,2,2: 100:[13, 27] Operation: 17+10=27 Moving to Node #0,2,1 Current State: 100:[10, 4], Operations: ['43-30=13', '17-13=4'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,100 unequal: No Solution Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,100 unequal: No Solution Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,100 unequal: No Solution Moving to Node #0,2,0 Current State: 100:[17, 3], Operations: ['43-30=13', '13-10=3'] Exploring Operation: 17*3=51, Resulting Numbers: [51] 51,100 unequal: No Solution Exploring Operation: 17+3=20, Resulting Numbers: [20] 20,100 unequal: No Solution Exploring Operation: 17-3=14, Resulting Numbers: [14] 14,100 unequal: No Solution Moving to Node #0,2,2 Current State: 100:[13, 27], Operations: ['43-30=13', '17+10=27'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,100 unequal: No Solution Exploring Operation: 13*27=351, Resulting Numbers: [351] 351,100 unequal: No Solution Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[10, 43, 47], Operations: ['17+30=47'] Exploring Operation: 47-43=4, Resulting Numbers: [10, 4] Generated Node #0,0,0: 100:[10, 4] Operation: 47-43=4 Exploring Operation: 43+47=90, Resulting Numbers: [10, 90] Generated Node #0,0,1: 100:[10, 90] Operation: 43+47=90 Exploring Operation: 10+43=53, Resulting Numbers: [47, 53] Generated Node #0,0,2: 100:[47, 53] Operation: 10+43=53 Moving to Node #0,0,0 Current State: 100:[10, 4], Operations: ['17+30=47', '47-43=4'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,100 unequal: No Solution Exploring Operation: 10+4=14, Resulting Numbers: [14] 14,100 unequal: No Solution Exploring Operation: 10*4=40, Resulting Numbers: [40] 40,100 unequal: No Solution Moving to Node #0,0,2 Current State: 100:[47, 53], Operations: ['17+30=47', '10+43=53'] Exploring Operation: 47+53=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[17, 10, 30, 43], Operations: [] Exploring Operation: 17+30=47, Resulting Numbers: [10, 43, 47] Generated Node #0,0: 100:[10, 43, 47] Operation: 17+30=47 Moving to Node #0,0 Current State: 100:[10, 43, 47], Operations: ['17+30=47'] Exploring Operation: 10+43=53, Resulting Numbers: [47, 53] Generated Node #0,0,2: 100:[47, 53] Operation: 10+43=53 Moving to Node #0,0,2 Current State: 100:[47, 53], Operations: ['17+30=47', '10+43=53'] Exploring Operation: 47+53=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 1
0.967014
hs_3
mult_heuristic
[ 59, 16, 94, 90 ]
39
[ "59-16=43", "94-90=4", "43-4=39" ]
Current State: 39:[59, 16, 94, 90], Operations: [] Exploring Operation: 59-16=43, Resulting Numbers: [94, 90, 43] Generated Node #2: [94, 90, 43] from Operation: 59-16=43 Current State: 39:[94, 90, 43], Operations: ['59-16=43'] Exploring Operation: 94-90=4, Resulting Numbers: [43, 4] Generated Node #3: [43, 4] from Operation: 94-90=4 Current State: 39:[43, 4], Operations: ['59-16=43', '94-90=4'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[59, 16, 94, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [59, 16, 4] Generated Node #0,0: 39:[59, 16, 4] Operation: 94-90=4 Moving to Node #0,0 Current State: 39:[59, 16, 4], Operations: ['94-90=4'] Exploring Operation: 59-16=43, Resulting Numbers: [4, 43] Generated Node #0,0,0: 39:[4, 43] Operation: 59-16=43 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[4, 43], Operations: ['94-90=4', '59-16=43'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[59, 16, 94, 90], Operations: [] Exploring Operation: 94-90=4, Resulting Numbers: [59, 16, 4] Generated Node #0,0: 39:[59, 16, 4] Operation: 94-90=4 Moving to Node #0,0 Current State: 39:[59, 16, 4], Operations: ['94-90=4'] Exploring Operation: 59-16=43, Resulting Numbers: [4, 43] Generated Node #0,0,0: 39:[4, 43] Operation: 59-16=43 Moving to Node #0,0,0 Current State: 39:[4, 43], Operations: ['94-90=4', '59-16=43'] Exploring Operation: 43-4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 44, 59, 36, 96 ]
75
[ "59-44=15", "96-36=60", "15+60=75" ]
Current State: 75:[44, 59, 36, 96], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [36, 96, 15] Generated Node #2: [36, 96, 15] from Operation: 59-44=15 Current State: 75:[36, 96, 15], Operations: ['59-44=15'] Exploring Operation: 96-36=60, Resulting Numbers: [15, 60] Generated Node #3: [15, 60] from Operation: 96-36=60 Current State: 75:[15, 60], Operations: ['59-44=15', '96-36=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[44, 59, 36, 96], Operations: [] Exploring Operation: 59-36=23, Resulting Numbers: [44, 96, 23] Generated Node #0,0: 75:[44, 96, 23] Operation: 59-36=23 Exploring Operation: 96-59=37, Resulting Numbers: [44, 36, 37] Generated Node #0,1: 75:[44, 36, 37] Operation: 96-59=37 Exploring Operation: 44-36=8, Resulting Numbers: [59, 96, 8] Generated Node #0,2: 75:[59, 96, 8] Operation: 44-36=8 Exploring Operation: 59-44=15, Resulting Numbers: [36, 96, 15] Generated Node #0,3: 75:[36, 96, 15] Operation: 59-44=15 Exploring Operation: 44+36=80, Resulting Numbers: [59, 96, 80] Generated Node #0,4: 75:[59, 96, 80] Operation: 44+36=80 Start Sub Search at level 1: Moving to Node #0,3 Current State: 75:[36, 96, 15], Operations: ['59-44=15'] Exploring Operation: 96+15=111, Resulting Numbers: [36, 111] Generated Node #0,3,0: 75:[36, 111] Operation: 96+15=111 Exploring Operation: 36-15=21, Resulting Numbers: [96, 21] Generated Node #0,3,1: 75:[96, 21] Operation: 36-15=21 Exploring Operation: 36+15=51, Resulting Numbers: [96, 51] Generated Node #0,3,2: 75:[96, 51] Operation: 36+15=51 Exploring Operation: 96-36=60, Resulting Numbers: [15, 60] Generated Node #0,3,3: 75:[15, 60] Operation: 96-36=60 Exploring Operation: 96-15=81, Resulting Numbers: [36, 81] Generated Node #0,3,4: 75:[36, 81] Operation: 96-15=81 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 75:[15, 60], Operations: ['59-44=15', '96-36=60'] Exploring Operation: 15*60=900, Resulting Numbers: [900] 900,75 unequal: No Solution Exploring Operation: 60-15=45, Resulting Numbers: [45] 45,75 unequal: No Solution Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[44, 59, 36, 96], Operations: [] Exploring Operation: 59-44=15, Resulting Numbers: [36, 96, 15] Generated Node #0,3: 75:[36, 96, 15] Operation: 59-44=15 Moving to Node #0,3 Current State: 75:[36, 96, 15], Operations: ['59-44=15'] Exploring Operation: 96-36=60, Resulting Numbers: [15, 60] Generated Node #0,3,3: 75:[15, 60] Operation: 96-36=60 Moving to Node #0,3,3 Current State: 75:[15, 60], Operations: ['59-44=15', '96-36=60'] Exploring Operation: 15+60=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 11, 33, 83, 64 ]
49
[ "33/11=3", "83+64=147", "147/3=49" ]
Current State: 49:[11, 33, 83, 64], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [83, 64, 3] Generated Node #2: [83, 64, 3] from Operation: 33/11=3 Current State: 49:[83, 64, 3], Operations: ['33/11=3'] Exploring Operation: 83+64=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 83+64=147 Current State: 49:[3, 147], Operations: ['33/11=3', '83+64=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[11, 33, 83, 64], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [11, 64, 50] Generated Node #0,0: 49:[11, 64, 50] Operation: 83-33=50 Moving to Node #0,0 Current State: 49:[11, 64, 50], Operations: ['83-33=50'] Exploring Operation: 64-11=53, Resulting Numbers: [50, 53] Generated Node #0,0,0: 49:[50, 53] Operation: 64-11=53 Moving to Node #0,0,0 Current State: 49:[50, 53], Operations: ['83-33=50', '64-11=53'] Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,49 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 67, 71, 49, 95 ]
92
[ "67+71=138", "95-49=46", "138-46=92" ]
Current State: 92:[67, 71, 49, 95], Operations: [] Exploring Operation: 67+71=138, Resulting Numbers: [49, 95, 138] Generated Node #2: [49, 95, 138] from Operation: 67+71=138 Current State: 92:[49, 95, 138], Operations: ['67+71=138'] Exploring Operation: 95-49=46, Resulting Numbers: [138, 46] Generated Node #3: [138, 46] from Operation: 95-49=46 Current State: 92:[138, 46], Operations: ['67+71=138', '95-49=46'] Exploring Operation: 138-46=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[67, 71, 49, 95], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [49, 95, 4] Generated Node #0,0: 92:[49, 95, 4] Operation: 71-67=4 Exploring Operation: 67-49=18, Resulting Numbers: [71, 95, 18] Generated Node #0,1: 92:[71, 95, 18] Operation: 67-49=18 Exploring Operation: 95-71=24, Resulting Numbers: [67, 49, 24] Generated Node #0,2: 92:[67, 49, 24] Operation: 95-71=24 Exploring Operation: 71-49=22, Resulting Numbers: [67, 95, 22] Generated Node #0,3: 92:[67, 95, 22] Operation: 71-49=22 Moving to Node #0,0 Current State: 92:[49, 95, 4], Operations: ['71-67=4'] Exploring Operation: 49+4=53, Resulting Numbers: [95, 53] Generated Node #0,0,0: 92:[95, 53] Operation: 49+4=53 Exploring Operation: 95-4=91, Resulting Numbers: [49, 91] Generated Node #0,0,1: 92:[49, 91] Operation: 95-4=91 Exploring Operation: 95-49=46, Resulting Numbers: [4, 46] Generated Node #0,0,2: 92:[4, 46] Operation: 95-49=46 Exploring Operation: 49-4=45, Resulting Numbers: [95, 45] Generated Node #0,0,3: 92:[95, 45] Operation: 49-4=45 Moving to Node #0,3 Current State: 92:[67, 95, 22], Operations: ['71-49=22'] Exploring Operation: 95-67=28, Resulting Numbers: [22, 28] Generated Node #0,3,0: 92:[22, 28] Operation: 95-67=28 Exploring Operation: 95-22=73, Resulting Numbers: [67, 73] Generated Node #0,3,1: 92:[67, 73] Operation: 95-22=73 Exploring Operation: 67+22=89, Resulting Numbers: [95, 89] Generated Node #0,3,2: 92:[95, 89] Operation: 67+22=89 Exploring Operation: 67-22=45, Resulting Numbers: [95, 45] Generated Node #0,3,3: 92:[95, 45] Operation: 67-22=45 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 92:[95, 45], Operations: ['71-49=22', '67-22=45'] Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 95+45=140, Resulting Numbers: [140] 140,92 unequal: No Solution Exploring Operation: 95*45=4275, Resulting Numbers: [4275] 4275,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 92:[22, 28], Operations: ['71-49=22', '95-67=28'] Exploring Operation: 22+28=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 28-22=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 22*28=616, Resulting Numbers: [616] 616,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 92:[95, 89], Operations: ['71-49=22', '67+22=89'] Exploring Operation: 95*89=8455, Resulting Numbers: [8455] 8455,92 unequal: No Solution Exploring Operation: 95-89=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 95+89=184, Resulting Numbers: [184] 184,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 92:[67, 73], Operations: ['71-49=22', '95-22=73'] Exploring Operation: 73-67=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 67+73=140, Resulting Numbers: [140] 140,92 unequal: No Solution Exploring Operation: 67*73=4891, Resulting Numbers: [4891] 4891,92 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 92:[67, 49, 24], Operations: ['95-71=24'] Exploring Operation: 67-49=18, Resulting Numbers: [24, 18] Generated Node #0,2,0: 92:[24, 18] Operation: 67-49=18 Exploring Operation: 67+24=91, Resulting Numbers: [49, 91] Generated Node #0,2,1: 92:[49, 91] Operation: 67+24=91 Exploring Operation: 49-24=25, Resulting Numbers: [67, 25] Generated Node #0,2,2: 92:[67, 25] Operation: 49-24=25 Exploring Operation: 67-24=43, Resulting Numbers: [49, 43] Generated Node #0,2,3: 92:[49, 43] Operation: 67-24=43 Moving to Node #0,1 Current State: 92:[71, 95, 18], Operations: ['67-49=18'] Exploring Operation: 71+18=89, Resulting Numbers: [95, 89] Generated Node #0,1,0: 92:[95, 89] Operation: 71+18=89 Exploring Operation: 95-18=77, Resulting Numbers: [71, 77] Generated Node #0,1,1: 92:[71, 77] Operation: 95-18=77 Exploring Operation: 95-71=24, Resulting Numbers: [18, 24] Generated Node #0,1,2: 92:[18, 24] Operation: 95-71=24 Exploring Operation: 71-18=53, Resulting Numbers: [95, 53] Generated Node #0,1,3: 92:[95, 53] Operation: 71-18=53 Moving to Node #0,0,2 Current State: 92:[4, 46], Operations: ['71-67=4', '95-49=46'] Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,92 unequal: No Solution Exploring Operation: 4*46=184, Resulting Numbers: [184] 184,92 unequal: No Solution Moving to Node #0,0,3 Current State: 92:[95, 45], Operations: ['71-67=4', '49-4=45'] Exploring Operation: 95+45=140, Resulting Numbers: [140] 140,92 unequal: No Solution Exploring Operation: 95-45=50, Resulting Numbers: [50] 50,92 unequal: No Solution Exploring Operation: 95*45=4275, Resulting Numbers: [4275] 4275,92 unequal: No Solution Moving to Node #0,0,1 Current State: 92:[49, 91], Operations: ['71-67=4', '95-4=91'] Exploring Operation: 49+91=140, Resulting Numbers: [140] 140,92 unequal: No Solution Exploring Operation: 49*91=4459, Resulting Numbers: [4459] 4459,92 unequal: No Solution Exploring Operation: 91-49=42, Resulting Numbers: [42] 42,92 unequal: No Solution Moving to Node #0,2,1 Current State: 92:[49, 91], Operations: ['95-71=24', '67+24=91'] Exploring Operation: 49+91=140, Resulting Numbers: [140] 140,92 unequal: No Solution Exploring Operation: 49*91=4459, Resulting Numbers: [4459] 4459,92 unequal: No Solution Exploring Operation: 91-49=42, Resulting Numbers: [42] 42,92 unequal: No Solution Moving to Node #0,2,3 Current State: 92:[49, 43], Operations: ['95-71=24', '67-24=43'] Exploring Operation: 49*43=2107, Resulting Numbers: [2107] 2107,92 unequal: No Solution Exploring Operation: 49-43=6, Resulting Numbers: [6] 6,92 unequal: No Solution Exploring Operation: 49+43=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[67, 71, 49, 95], Operations: [] Exploring Operation: 95-71=24, Resulting Numbers: [67, 49, 24] Generated Node #0,2: 92:[67, 49, 24] Operation: 95-71=24 Moving to Node #0,2 Current State: 92:[67, 49, 24], Operations: ['95-71=24'] Exploring Operation: 67-24=43, Resulting Numbers: [49, 43] Generated Node #0,2,3: 92:[49, 43] Operation: 67-24=43 Moving to Node #0,2,3 Current State: 92:[49, 43], Operations: ['95-71=24', '67-24=43'] Exploring Operation: 49+43=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
0.955729
hs_4
sum_heuristic
[ 50, 48, 64, 62 ]
28
[ "50+48=98", "64+62=126", "126-98=28" ]
Current State: 28:[50, 48, 64, 62], Operations: [] Exploring Operation: 50+48=98, Resulting Numbers: [64, 62, 98] Generated Node #2: [64, 62, 98] from Operation: 50+48=98 Current State: 28:[64, 62, 98], Operations: ['50+48=98'] Exploring Operation: 64+62=126, Resulting Numbers: [98, 126] Generated Node #3: [98, 126] from Operation: 64+62=126 Current State: 28:[98, 126], Operations: ['50+48=98', '64+62=126'] Exploring Operation: 126-98=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[50, 48, 64, 62], Operations: [] Exploring Operation: 64-62=2, Resulting Numbers: [50, 48, 2] Generated Node #0,0: 28:[50, 48, 2] Operation: 64-62=2 Exploring Operation: 64-50=14, Resulting Numbers: [48, 62, 14] Generated Node #0,1: 28:[48, 62, 14] Operation: 64-50=14 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[50, 48, 2], Operations: ['64-62=2'] Exploring Operation: 50-48=2, Resulting Numbers: [2, 2] Generated Node #0,0,0: 28:[2, 2] Operation: 50-48=2 Exploring Operation: 50/2=25, Resulting Numbers: [48, 25] Generated Node #0,0,1: 28:[48, 25] Operation: 50/2=25 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 28:[2, 2], Operations: ['64-62=2', '50-48=2'] Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 28:[48, 25], Operations: ['64-62=2', '50/2=25'] Exploring Operation: 48-25=23, Resulting Numbers: [23] 23,28 unequal: No Solution Exploring Operation: 48+25=73, Resulting Numbers: [73] 73,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[48, 62, 14], Operations: ['64-50=14'] Exploring Operation: 48-14=34, Resulting Numbers: [62, 34] Generated Node #0,1,0: 28:[62, 34] Operation: 48-14=34 Exploring Operation: 62-48=14, Resulting Numbers: [14, 14] Generated Node #0,1,1: 28:[14, 14] Operation: 62-48=14 Moving to Node #0,1,1 Current State: 28:[14, 14], Operations: ['64-50=14', '62-48=14'] Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[50, 48, 64, 62], Operations: [] Exploring Operation: 64-50=14, Resulting Numbers: [48, 62, 14] Generated Node #0,1: 28:[48, 62, 14] Operation: 64-50=14 Moving to Node #0,1 Current State: 28:[48, 62, 14], Operations: ['64-50=14'] Exploring Operation: 62-48=14, Resulting Numbers: [14, 14] Generated Node #0,1,1: 28:[14, 14] Operation: 62-48=14 Moving to Node #0,1,1 Current State: 28:[14, 14], Operations: ['64-50=14', '62-48=14'] Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
sum_heuristic
[ 52, 90, 72, 39 ]
36
[ "72*39=2808", "2808/52=54", "90-54=36" ]
Current State: 36:[52, 90, 72, 39], Operations: [] Exploring Operation: 72*39=2808, Resulting Numbers: [52, 90, 2808] Generated Node #2: [52, 90, 2808] from Operation: 72*39=2808 Current State: 36:[52, 90, 2808], Operations: ['72*39=2808'] Exploring Operation: 2808/52=54, Resulting Numbers: [90, 54] Generated Node #3: [90, 54] from Operation: 2808/52=54 Current State: 36:[90, 54], Operations: ['72*39=2808', '2808/52=54'] Exploring Operation: 90-54=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[52, 90, 72, 39], Operations: [] Exploring Operation: 90-72=18, Resulting Numbers: [52, 39, 18] Generated Node #0,0: 36:[52, 39, 18] Operation: 90-72=18 Exploring Operation: 90-52=38, Resulting Numbers: [72, 39, 38] Generated Node #0,1: 36:[72, 39, 38] Operation: 90-52=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[52, 39, 18], Operations: ['90-72=18'] Exploring Operation: 52-39=13, Resulting Numbers: [18, 13] Generated Node #0,0,0: 36:[18, 13] Operation: 52-39=13 Exploring Operation: 52-18=34, Resulting Numbers: [39, 34] Generated Node #0,0,1: 36:[39, 34] Operation: 52-18=34 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 36:[18, 13], Operations: ['90-72=18', '52-39=13'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 18+13=31, Resulting Numbers: [31] 31,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 36:[39, 34], Operations: ['90-72=18', '52-18=34'] Exploring Operation: 39-34=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[72, 39, 38], Operations: ['90-52=38'] Exploring Operation: 72-38=34, Resulting Numbers: [39, 34] Generated Node #0,1,0: 36:[39, 34] Operation: 72-38=34 Exploring Operation: 72-39=33, Resulting Numbers: [38, 33] Generated Node #0,1,1: 36:[38, 33] Operation: 72-39=33 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 36:[39, 34], Operations: ['90-52=38', '72-38=34'] Exploring Operation: 39-34=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 36:[38, 33], Operations: ['90-52=38', '72-39=33'] Exploring Operation: 38-33=5, Resulting Numbers: [5] 5,36 unequal: No Solution Exploring Operation: 38+33=71, Resulting Numbers: [71] 71,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 69, 94, 83, 21 ]
59
[ "69+94=163", "83+21=104", "163-104=59" ]
Current State: 59:[69, 94, 83, 21], Operations: [] Exploring Operation: 69+94=163, Resulting Numbers: [83, 21, 163] Generated Node #2: [83, 21, 163] from Operation: 69+94=163 Current State: 59:[83, 21, 163], Operations: ['69+94=163'] Exploring Operation: 83+21=104, Resulting Numbers: [163, 104] Generated Node #3: [163, 104] from Operation: 83+21=104 Current State: 59:[163, 104], Operations: ['69+94=163', '83+21=104'] Exploring Operation: 163-104=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[69, 94, 83, 21], Operations: [] Exploring Operation: 83-21=62, Resulting Numbers: [69, 94, 62] Generated Node #0,0: 59:[69, 94, 62] Operation: 83-21=62 Exploring Operation: 94+21=115, Resulting Numbers: [69, 83, 115] Generated Node #0,1: 59:[69, 83, 115] Operation: 94+21=115 Exploring Operation: 94-21=73, Resulting Numbers: [69, 83, 73] Generated Node #0,2: 59:[69, 83, 73] Operation: 94-21=73 Exploring Operation: 69+21=90, Resulting Numbers: [94, 83, 90] Generated Node #0,3: 59:[94, 83, 90] Operation: 69+21=90 Exploring Operation: 69-21=48, Resulting Numbers: [94, 83, 48] Generated Node #0,4: 59:[94, 83, 48] Operation: 69-21=48 Moving to Node #0,0 Current State: 59:[69, 94, 62], Operations: ['83-21=62'] Exploring Operation: 69-62=7, Resulting Numbers: [94, 7] Generated Node #0,0,0: 59:[94, 7] Operation: 69-62=7 Exploring Operation: 69+94=163, Resulting Numbers: [62, 163] Generated Node #0,0,1: 59:[62, 163] Operation: 69+94=163 Exploring Operation: 69+62=131, Resulting Numbers: [94, 131] Generated Node #0,0,2: 59:[94, 131] Operation: 69+62=131 Exploring Operation: 94-69=25, Resulting Numbers: [62, 25] Generated Node #0,0,3: 59:[62, 25] Operation: 94-69=25 Exploring Operation: 94-62=32, Resulting Numbers: [69, 32] Generated Node #0,0,4: 59:[69, 32] Operation: 94-62=32 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 59:[62, 25], Operations: ['83-21=62', '94-69=25'] Exploring Operation: 62+25=87, Resulting Numbers: [87] 87,59 unequal: No Solution Exploring Operation: 62-25=37, Resulting Numbers: [37] 37,59 unequal: No Solution Exploring Operation: 62*25=1550, Resulting Numbers: [1550] 1550,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 59:[69, 32], Operations: ['83-21=62', '94-62=32'] Exploring Operation: 69+32=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 69*32=2208, Resulting Numbers: [2208] 2208,59 unequal: No Solution Exploring Operation: 69-32=37, Resulting Numbers: [37] 37,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 59:[94, 7], Operations: ['83-21=62', '69-62=7'] Exploring Operation: 94+7=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 94*7=658, Resulting Numbers: [658] 658,59 unequal: No Solution Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 59:[62, 163], Operations: ['83-21=62', '69+94=163'] Exploring Operation: 163-62=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 62*163=10106, Resulting Numbers: [10106] 10106,59 unequal: No Solution Exploring Operation: 62+163=225, Resulting Numbers: [225] 225,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 59:[94, 131], Operations: ['83-21=62', '69+62=131'] Exploring Operation: 94*131=12314, Resulting Numbers: [12314] 12314,59 unequal: No Solution Exploring Operation: 94+131=225, Resulting Numbers: [225] 225,59 unequal: No Solution Exploring Operation: 131-94=37, Resulting Numbers: [37] 37,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 59:[69, 83, 73], Operations: ['94-21=73'] Exploring Operation: 83-73=10, Resulting Numbers: [69, 10] Generated Node #0,2,0: 59:[69, 10] Operation: 83-73=10 Exploring Operation: 69+73=142, Resulting Numbers: [83, 142] Generated Node #0,2,1: 59:[83, 142] Operation: 69+73=142 Exploring Operation: 73-69=4, Resulting Numbers: [83, 4] Generated Node #0,2,2: 59:[83, 4] Operation: 73-69=4 Exploring Operation: 83-69=14, Resulting Numbers: [73, 14] Generated Node #0,2,3: 59:[73, 14] Operation: 83-69=14 Exploring Operation: 69+83=152, Resulting Numbers: [73, 152] Generated Node #0,2,4: 59:[73, 152] Operation: 69+83=152 Moving to Node #0,4 Current State: 59:[94, 83, 48], Operations: ['69-21=48'] Exploring Operation: 94-83=11, Resulting Numbers: [48, 11] Generated Node #0,4,0: 59:[48, 11] Operation: 94-83=11 Exploring Operation: 94+48=142, Resulting Numbers: [83, 142] Generated Node #0,4,1: 59:[83, 142] Operation: 94+48=142 Exploring Operation: 83-48=35, Resulting Numbers: [94, 35] Generated Node #0,4,2: 59:[94, 35] Operation: 83-48=35 Exploring Operation: 83+48=131, Resulting Numbers: [94, 131] Generated Node #0,4,3: 59:[94, 131] Operation: 83+48=131 Exploring Operation: 94-48=46, Resulting Numbers: [83, 46] Generated Node #0,4,4: 59:[83, 46] Operation: 94-48=46 Moving to Node #0,1 Current State: 59:[69, 83, 115], Operations: ['94+21=115'] Exploring Operation: 115-83=32, Resulting Numbers: [69, 32] Generated Node #0,1,0: 59:[69, 32] Operation: 115-83=32 Exploring Operation: 115-69=46, Resulting Numbers: [83, 46] Generated Node #0,1,1: 59:[83, 46] Operation: 115-69=46 Exploring Operation: 69+83=152, Resulting Numbers: [115, 152] Generated Node #0,1,2: 59:[115, 152] Operation: 69+83=152 Exploring Operation: 83-69=14, Resulting Numbers: [115, 14] Generated Node #0,1,3: 59:[115, 14] Operation: 83-69=14 Exploring Operation: 69+115=184, Resulting Numbers: [83, 184] Generated Node #0,1,4: 59:[83, 184] Operation: 69+115=184 Moving to Node #0,3 Current State: 59:[94, 83, 90], Operations: ['69+21=90'] Exploring Operation: 94+90=184, Resulting Numbers: [83, 184] Generated Node #0,3,0: 59:[83, 184] Operation: 94+90=184 Exploring Operation: 94+83=177, Resulting Numbers: [90, 177] Generated Node #0,3,1: 59:[90, 177] Operation: 94+83=177 Exploring Operation: 94-83=11, Resulting Numbers: [90, 11] Generated Node #0,3,2: 59:[90, 11] Operation: 94-83=11 Exploring Operation: 90-83=7, Resulting Numbers: [94, 7] Generated Node #0,3,3: 59:[94, 7] Operation: 90-83=7 Exploring Operation: 94-90=4, Resulting Numbers: [83, 4] Generated Node #0,3,4: 59:[83, 4] Operation: 94-90=4 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 59:[90, 11], Operations: ['69+21=90', '94-83=11'] Exploring Operation: 90-11=79, Resulting Numbers: [79] 79,59 unequal: No Solution Exploring Operation: 90+11=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 90*11=990, Resulting Numbers: [990] 990,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 59:[83, 4], Operations: ['69+21=90', '94-90=4'] Exploring Operation: 83*4=332, Resulting Numbers: [332] 332,59 unequal: No Solution Exploring Operation: 83+4=87, Resulting Numbers: [87] 87,59 unequal: No Solution Exploring Operation: 83-4=79, Resulting Numbers: [79] 79,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 59:[94, 7], Operations: ['69+21=90', '90-83=7'] Exploring Operation: 94+7=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 94-7=87, Resulting Numbers: [87] 87,59 unequal: No Solution Exploring Operation: 94*7=658, Resulting Numbers: [658] 658,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 59:[83, 184], Operations: ['69+21=90', '94+90=184'] Exploring Operation: 184-83=101, Resulting Numbers: [101] 101,59 unequal: No Solution Exploring Operation: 83*184=15272, Resulting Numbers: [15272] 15272,59 unequal: No Solution Exploring Operation: 83+184=267, Resulting Numbers: [267] 267,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 59:[90, 177], Operations: ['69+21=90', '94+83=177'] Exploring Operation: 90+177=267, Resulting Numbers: [267] 267,59 unequal: No Solution Exploring Operation: 90*177=15930, Resulting Numbers: [15930] 15930,59 unequal: No Solution Exploring Operation: 177-90=87, Resulting Numbers: [87] 87,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,4 Current State: 59:[83, 46], Operations: ['69-21=48', '94-48=46'] Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,59 unequal: No Solution Exploring Operation: 83+46=129, Resulting Numbers: [129] 129,59 unequal: No Solution Exploring Operation: 83*46=3818, Resulting Numbers: [3818] 3818,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[83, 46], Operations: ['94+21=115', '115-69=46'] Exploring Operation: 83-46=37, Resulting Numbers: [37] 37,59 unequal: No Solution Exploring Operation: 83+46=129, Resulting Numbers: [129] 129,59 unequal: No Solution Exploring Operation: 83*46=3818, Resulting Numbers: [3818] 3818,59 unequal: No Solution Moving to Node #0,1,0 Current State: 59:[69, 32], Operations: ['94+21=115', '115-83=32'] Exploring Operation: 69-32=37, Resulting Numbers: [37] 37,59 unequal: No Solution Exploring Operation: 69*32=2208, Resulting Numbers: [2208] 2208,59 unequal: No Solution Exploring Operation: 69+32=101, Resulting Numbers: [101] 101,59 unequal: No Solution Moving to Node #0,4,0 Current State: 59:[48, 11], Operations: ['69-21=48', '94-83=11'] Exploring Operation: 48*11=528, Resulting Numbers: [528] 528,59 unequal: No Solution Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Moving to Node #0 Current State: 59:[69, 94, 83, 21], Operations: [] Exploring Operation: 69-21=48, Resulting Numbers: [94, 83, 48] Generated Node #0,4: 59:[94, 83, 48] Operation: 69-21=48 Moving to Node #0,4 Current State: 59:[94, 83, 48], Operations: ['69-21=48'] Exploring Operation: 94-83=11, Resulting Numbers: [48, 11] Generated Node #0,4,0: 59:[48, 11] Operation: 94-83=11 Moving to Node #0,4,0 Current State: 59:[48, 11], Operations: ['69-21=48', '94-83=11'] Exploring Operation: 48+11=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
0.934896
hs_5
mult_heuristic
[ 58, 41, 68, 11 ]
42
[ "58+41=99", "68-11=57", "99-57=42" ]
Current State: 42:[58, 41, 68, 11], Operations: [] Exploring Operation: 58+41=99, Resulting Numbers: [68, 11, 99] Generated Node #2: [68, 11, 99] from Operation: 58+41=99 Current State: 42:[68, 11, 99], Operations: ['58+41=99'] Exploring Operation: 68-11=57, Resulting Numbers: [99, 57] Generated Node #3: [99, 57] from Operation: 68-11=57 Current State: 42:[99, 57], Operations: ['58+41=99', '68-11=57'] Exploring Operation: 99-57=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[58, 41, 68, 11], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [68, 11, 17] Generated Node #0,0: 42:[68, 11, 17] Operation: 58-41=17 Exploring Operation: 68-58=10, Resulting Numbers: [41, 11, 10] Generated Node #0,1: 42:[41, 11, 10] Operation: 68-58=10 Exploring Operation: 58-11=47, Resulting Numbers: [41, 68, 47] Generated Node #0,2: 42:[41, 68, 47] Operation: 58-11=47 Exploring Operation: 68-41=27, Resulting Numbers: [58, 11, 27] Generated Node #0,3: 42:[58, 11, 27] Operation: 68-41=27 Exploring Operation: 68-11=57, Resulting Numbers: [58, 41, 57] Generated Node #0,4: 42:[58, 41, 57] Operation: 68-11=57 Moving to Node #0,1 Current State: 42:[41, 11, 10], Operations: ['68-58=10'] Exploring Operation: 41-11=30, Resulting Numbers: [10, 30] Generated Node #0,1,0: 42:[10, 30] Operation: 41-11=30 Exploring Operation: 41+11=52, Resulting Numbers: [10, 52] Generated Node #0,1,1: 42:[10, 52] Operation: 41+11=52 Exploring Operation: 41+10=51, Resulting Numbers: [11, 51] Generated Node #0,1,2: 42:[11, 51] Operation: 41+10=51 Exploring Operation: 11-10=1, Resulting Numbers: [41, 1] Generated Node #0,1,3: 42:[41, 1] Operation: 11-10=1 Exploring Operation: 11+10=21, Resulting Numbers: [41, 21] Generated Node #0,1,4: 42:[41, 21] Operation: 11+10=21 Moving to Node #0,3 Current State: 42:[58, 11, 27], Operations: ['68-41=27'] Exploring Operation: 58-11=47, Resulting Numbers: [27, 47] Generated Node #0,3,0: 42:[27, 47] Operation: 58-11=47 Exploring Operation: 27-11=16, Resulting Numbers: [58, 16] Generated Node #0,3,1: 42:[58, 16] Operation: 27-11=16 Exploring Operation: 11+27=38, Resulting Numbers: [58, 38] Generated Node #0,3,2: 42:[58, 38] Operation: 11+27=38 Exploring Operation: 58-27=31, Resulting Numbers: [11, 31] Generated Node #0,3,3: 42:[11, 31] Operation: 58-27=31 Exploring Operation: 58+11=69, Resulting Numbers: [27, 69] Generated Node #0,3,4: 42:[27, 69] Operation: 58+11=69 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 42:[27, 47], Operations: ['68-41=27', '58-11=47'] Exploring Operation: 47-27=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 27+47=74, Resulting Numbers: [74] 74,42 unequal: No Solution Exploring Operation: 27*47=1269, Resulting Numbers: [1269] 1269,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 42:[11, 31], Operations: ['68-41=27', '58-27=31'] Exploring Operation: 11*31=341, Resulting Numbers: [341] 341,42 unequal: No Solution Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[58, 41, 68, 11], Operations: [] Exploring Operation: 68-41=27, Resulting Numbers: [58, 11, 27] Generated Node #0,3: 42:[58, 11, 27] Operation: 68-41=27 Moving to Node #0,3 Current State: 42:[58, 11, 27], Operations: ['68-41=27'] Exploring Operation: 58-27=31, Resulting Numbers: [11, 31] Generated Node #0,3,3: 42:[11, 31] Operation: 58-27=31 Moving to Node #0,3,3 Current State: 42:[11, 31], Operations: ['68-41=27', '58-27=31'] Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_5
mult_heuristic
[ 25, 63, 37, 88 ]
87
[ "63-25=38", "37+88=125", "125-38=87" ]
Current State: 87:[25, 63, 37, 88], Operations: [] Exploring Operation: 63-25=38, Resulting Numbers: [37, 88, 38] Generated Node #2: [37, 88, 38] from Operation: 63-25=38 Current State: 87:[37, 88, 38], Operations: ['63-25=38'] Exploring Operation: 37+88=125, Resulting Numbers: [38, 125] Generated Node #3: [38, 125] from Operation: 37+88=125 Current State: 87:[38, 125], Operations: ['63-25=38', '37+88=125'] Exploring Operation: 125-38=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[25, 63, 37, 88], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [25, 88, 26] Generated Node #0,0: 87:[25, 88, 26] Operation: 63-37=26 Exploring Operation: 88-63=25, Resulting Numbers: [25, 37, 25] Generated Node #0,1: 87:[25, 37, 25] Operation: 88-63=25 Exploring Operation: 25+63=88, Resulting Numbers: [37, 88, 88] Generated Node #0,2: 87:[37, 88, 88] Operation: 25+63=88 Exploring Operation: 63-25=38, Resulting Numbers: [37, 88, 38] Generated Node #0,3: 87:[37, 88, 38] Operation: 63-25=38 Start Sub Search at level 1: Moving to Node #0,0 Current State: 87:[25, 88, 26], Operations: ['63-37=26'] Exploring Operation: 88-25=63, Resulting Numbers: [26, 63] Generated Node #0,0,0: 87:[26, 63] Operation: 88-25=63 Exploring Operation: 26-25=1, Resulting Numbers: [88, 1] Generated Node #0,0,1: 87:[88, 1] Operation: 26-25=1 Exploring Operation: 25+26=51, Resulting Numbers: [88, 51] Generated Node #0,0,2: 87:[88, 51] Operation: 25+26=51 Exploring Operation: 25+88=113, Resulting Numbers: [26, 113] Generated Node #0,0,3: 87:[26, 113] Operation: 25+88=113 Moving to Node #0,0,1 Current State: 87:[88, 1], Operations: ['63-37=26', '26-25=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[25, 63, 37, 88], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [25, 88, 26] Generated Node #0,0: 87:[25, 88, 26] Operation: 63-37=26 Moving to Node #0,0 Current State: 87:[25, 88, 26], Operations: ['63-37=26'] Exploring Operation: 26-25=1, Resulting Numbers: [88, 1] Generated Node #0,0,1: 87:[88, 1] Operation: 26-25=1 Moving to Node #0,0,1 Current State: 87:[88, 1], Operations: ['63-37=26', '26-25=1'] Exploring Operation: 88-1=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 74, 47, 56, 45 ]
74
[ "74-47=27", "56+45=101", "101-27=74" ]
Current State: 74:[74, 47, 56, 45], Operations: [] Exploring Operation: 74-47=27, Resulting Numbers: [56, 45, 27] Generated Node #2: [56, 45, 27] from Operation: 74-47=27 Current State: 74:[56, 45, 27], Operations: ['74-47=27'] Exploring Operation: 56+45=101, Resulting Numbers: [27, 101] Generated Node #3: [27, 101] from Operation: 56+45=101 Current State: 74:[27, 101], Operations: ['74-47=27', '56+45=101'] Exploring Operation: 101-27=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
Current State: 74:[74, 47, 56, 45], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [74, 45, 9] Generated Node #0,0: 74:[74, 45, 9] Operation: 56-47=9 Exploring Operation: 47-45=2, Resulting Numbers: [74, 56, 2] Generated Node #0,1: 74:[74, 56, 2] Operation: 47-45=2 Exploring Operation: 56-45=11, Resulting Numbers: [74, 47, 11] Generated Node #0,2: 74:[74, 47, 11] Operation: 56-45=11 Exploring Operation: 74-56=18, Resulting Numbers: [47, 45, 18] Generated Node #0,3: 74:[47, 45, 18] Operation: 74-56=18 Moving to Node #0,0 Current State: 74:[74, 45, 9], Operations: ['56-47=9'] Exploring Operation: 74+9=83, Resulting Numbers: [45, 83] Generated Node #0,0,0: 74:[45, 83] Operation: 74+9=83 Exploring Operation: 74-45=29, Resulting Numbers: [9, 29] Generated Node #0,0,1: 74:[9, 29] Operation: 74-45=29 Exploring Operation: 45-9=36, Resulting Numbers: [74, 36] Generated Node #0,0,2: 74:[74, 36] Operation: 45-9=36 Exploring Operation: 45/9=5, Resulting Numbers: [74, 5] Generated Node #0,0,3: 74:[74, 5] Operation: 45/9=5 Moving to Node #0,1 Current State: 74:[74, 56, 2], Operations: ['47-45=2'] Exploring Operation: 56/2=28, Resulting Numbers: [74, 28] Generated Node #0,1,0: 74:[74, 28] Operation: 56/2=28 Exploring Operation: 74-56=18, Resulting Numbers: [2, 18] Generated Node #0,1,1: 74:[2, 18] Operation: 74-56=18 Exploring Operation: 56+2=58, Resulting Numbers: [74, 58] Generated Node #0,1,2: 74:[74, 58] Operation: 56+2=58 Exploring Operation: 56-2=54, Resulting Numbers: [74, 54] Generated Node #0,1,3: 74:[74, 54] Operation: 56-2=54 Moving to Node #0,2 Current State: 74:[74, 47, 11], Operations: ['56-45=11'] Exploring Operation: 47+11=58, Resulting Numbers: [74, 58] Generated Node #0,2,0: 74:[74, 58] Operation: 47+11=58 Exploring Operation: 74+11=85, Resulting Numbers: [47, 85] Generated Node #0,2,1: 74:[47, 85] Operation: 74+11=85 Exploring Operation: 74-47=27, Resulting Numbers: [11, 27] Generated Node #0,2,2: 74:[11, 27] Operation: 74-47=27 Exploring Operation: 47-11=36, Resulting Numbers: [74, 36] Generated Node #0,2,3: 74:[74, 36] Operation: 47-11=36 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 74:[74, 36], Operations: ['56-45=11', '47-11=36'] Exploring Operation: 74-36=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 74+36=110, Resulting Numbers: [110] 110,74 unequal: No Solution Exploring Operation: 74*36=2664, Resulting Numbers: [2664] 2664,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 74:[74, 58], Operations: ['56-45=11', '47+11=58'] Exploring Operation: 74*58=4292, Resulting Numbers: [4292] 4292,74 unequal: No Solution Exploring Operation: 74+58=132, Resulting Numbers: [132] 132,74 unequal: No Solution Exploring Operation: 74-58=16, Resulting Numbers: [16] 16,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 74:[11, 27], Operations: ['56-45=11', '74-47=27'] Exploring Operation: 11*27=297, Resulting Numbers: [297] 297,74 unequal: No Solution Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 74:[47, 85], Operations: ['56-45=11', '74+11=85'] Exploring Operation: 85-47=38, Resulting Numbers: [38] 38,74 unequal: No Solution Exploring Operation: 47*85=3995, Resulting Numbers: [3995] 3995,74 unequal: No Solution Exploring Operation: 47+85=132, Resulting Numbers: [132] 132,74 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 74:[47, 45, 18], Operations: ['74-56=18'] Exploring Operation: 47-18=29, Resulting Numbers: [45, 29] Generated Node #0,3,0: 74:[45, 29] Operation: 47-18=29 Exploring Operation: 47-45=2, Resulting Numbers: [18, 2] Generated Node #0,3,1: 74:[18, 2] Operation: 47-45=2 Exploring Operation: 47+18=65, Resulting Numbers: [45, 65] Generated Node #0,3,2: 74:[45, 65] Operation: 47+18=65 Exploring Operation: 45-18=27, Resulting Numbers: [47, 27] Generated Node #0,3,3: 74:[47, 27] Operation: 45-18=27 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 74:[45, 29], Operations: ['74-56=18', '47-18=29'] Exploring Operation: 45*29=1305, Resulting Numbers: [1305] 1305,74 unequal: No Solution Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Moving to Node #0 Current State: 74:[74, 47, 56, 45], Operations: [] Exploring Operation: 74-56=18, Resulting Numbers: [47, 45, 18] Generated Node #0,3: 74:[47, 45, 18] Operation: 74-56=18 Moving to Node #0,3 Current State: 74:[47, 45, 18], Operations: ['74-56=18'] Exploring Operation: 47-18=29, Resulting Numbers: [45, 29] Generated Node #0,3,0: 74:[45, 29] Operation: 47-18=29 Moving to Node #0,3,0 Current State: 74:[45, 29], Operations: ['74-56=18', '47-18=29'] Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,74 equal: Goal Reached Exit Sub Search at level 1
0.967014
hs_4
sum_heuristic
[ 62, 72, 70, 32 ]
60
[ "62-32=30", "72-70=2", "30*2=60" ]
Current State: 60:[62, 72, 70, 32], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [72, 70, 30] Generated Node #2: [72, 70, 30] from Operation: 62-32=30 Current State: 60:[72, 70, 30], Operations: ['62-32=30'] Exploring Operation: 72-70=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 72-70=2 Current State: 60:[30, 2], Operations: ['62-32=30', '72-70=2'] Exploring Operation: 30*2=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[62, 72, 70, 32], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [62, 32, 2] Generated Node #0,0: 60:[62, 32, 2] Operation: 72-70=2 Exploring Operation: 72-62=10, Resulting Numbers: [70, 32, 10] Generated Node #0,1: 60:[70, 32, 10] Operation: 72-62=10 Exploring Operation: 62-32=30, Resulting Numbers: [72, 70, 30] Generated Node #0,2: 60:[72, 70, 30] Operation: 62-32=30 Exploring Operation: 70-62=8, Resulting Numbers: [72, 32, 8] Generated Node #0,3: 60:[72, 32, 8] Operation: 70-62=8 Exploring Operation: 72-32=40, Resulting Numbers: [62, 70, 40] Generated Node #0,4: 60:[62, 70, 40] Operation: 72-32=40 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[62, 32, 2], Operations: ['72-70=2'] Exploring Operation: 62/2=31, Resulting Numbers: [32, 31] Generated Node #0,0,0: 60:[32, 31] Operation: 62/2=31 Exploring Operation: 62-32=30, Resulting Numbers: [2, 30] Generated Node #0,0,1: 60:[2, 30] Operation: 62-32=30 Exploring Operation: 32-2=30, Resulting Numbers: [62, 30] Generated Node #0,0,2: 60:[62, 30] Operation: 32-2=30 Exploring Operation: 32/2=16, Resulting Numbers: [62, 16] Generated Node #0,0,3: 60:[62, 16] Operation: 32/2=16 Exploring Operation: 62-2=60, Resulting Numbers: [32, 60] Generated Node #0,0,4: 60:[32, 60] Operation: 62-2=60 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 60:[2, 30], Operations: ['72-70=2', '62-32=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[62, 72, 70, 32], Operations: [] Exploring Operation: 72-70=2, Resulting Numbers: [62, 32, 2] Generated Node #0,0: 60:[62, 32, 2] Operation: 72-70=2 Moving to Node #0,0 Current State: 60:[62, 32, 2], Operations: ['72-70=2'] Exploring Operation: 62-32=30, Resulting Numbers: [2, 30] Generated Node #0,0,1: 60:[2, 30] Operation: 62-32=30 Moving to Node #0,0,1 Current State: 60:[2, 30], Operations: ['72-70=2', '62-32=30'] Exploring Operation: 2*30=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 40, 44, 34, 69 ]
31
[ "44-40=4", "69-34=35", "35-4=31" ]
Current State: 31:[40, 44, 34, 69], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [34, 69, 4] Generated Node #2: [34, 69, 4] from Operation: 44-40=4 Current State: 31:[34, 69, 4], Operations: ['44-40=4'] Exploring Operation: 69-34=35, Resulting Numbers: [4, 35] Generated Node #3: [4, 35] from Operation: 69-34=35 Current State: 31:[4, 35], Operations: ['44-40=4', '69-34=35'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[40, 44, 34, 69], Operations: [] Exploring Operation: 69-40=29, Resulting Numbers: [44, 34, 29] Generated Node #0,0: 31:[44, 34, 29] Operation: 69-40=29 Exploring Operation: 69-44=25, Resulting Numbers: [40, 34, 25] Generated Node #0,1: 31:[40, 34, 25] Operation: 69-44=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[44, 34, 29], Operations: ['69-40=29'] Exploring Operation: 44-34=10, Resulting Numbers: [29, 10] Generated Node #0,0,0: 31:[29, 10] Operation: 44-34=10 Exploring Operation: 44-29=15, Resulting Numbers: [34, 15] Generated Node #0,0,1: 31:[34, 15] Operation: 44-29=15 Moving to Node #0,0,1 Current State: 31:[34, 15], Operations: ['69-40=29', '44-29=15'] Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,31 unequal: No Solution Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,31 unequal: No Solution Moving to Node #0,0,0 Current State: 31:[29, 10], Operations: ['69-40=29', '44-34=10'] Exploring Operation: 29-10=19, Resulting Numbers: [19] 19,31 unequal: No Solution Exploring Operation: 29+10=39, Resulting Numbers: [39] 39,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 31:[40, 34, 25], Operations: ['69-44=25'] Exploring Operation: 40-25=15, Resulting Numbers: [34, 15] Generated Node #0,1,0: 31:[34, 15] Operation: 40-25=15 Exploring Operation: 40-34=6, Resulting Numbers: [25, 6] Generated Node #0,1,1: 31:[25, 6] Operation: 40-34=6 Moving to Node #0,1,0 Current State: 31:[34, 15], Operations: ['69-44=25', '40-25=15'] Exploring Operation: 34+15=49, Resulting Numbers: [49] 49,31 unequal: No Solution Exploring Operation: 34-15=19, Resulting Numbers: [19] 19,31 unequal: No Solution Moving to Node #0,1,1 Current State: 31:[25, 6], Operations: ['69-44=25', '40-34=6'] Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,31 unequal: No Solution Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[40, 44, 34, 69], Operations: [] Exploring Operation: 69-44=25, Resulting Numbers: [40, 34, 25] Generated Node #0,1: 31:[40, 34, 25] Operation: 69-44=25 Moving to Node #0,1 Current State: 31:[40, 34, 25], Operations: ['69-44=25'] Exploring Operation: 40-34=6, Resulting Numbers: [25, 6] Generated Node #0,1,1: 31:[25, 6] Operation: 40-34=6 Moving to Node #0,1,1 Current State: 31:[25, 6], Operations: ['69-44=25', '40-34=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_2
mult_heuristic
[ 74, 99, 24, 28 ]
27
[ "99-74=25", "24+28=52", "52-25=27" ]
Current State: 27:[74, 99, 24, 28], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [24, 28, 25] Generated Node #2: [24, 28, 25] from Operation: 99-74=25 Current State: 27:[24, 28, 25], Operations: ['99-74=25'] Exploring Operation: 24+28=52, Resulting Numbers: [25, 52] Generated Node #3: [25, 52] from Operation: 24+28=52 Current State: 27:[25, 52], Operations: ['99-74=25', '24+28=52'] Exploring Operation: 52-25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[74, 99, 24, 28], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [24, 28, 25] Generated Node #0,0: 27:[24, 28, 25] Operation: 99-74=25 Exploring Operation: 74-28=46, Resulting Numbers: [99, 24, 46] Generated Node #0,1: 27:[99, 24, 46] Operation: 74-28=46 Exploring Operation: 99-28=71, Resulting Numbers: [74, 24, 71] Generated Node #0,2: 27:[74, 24, 71] Operation: 99-28=71 Start Sub Search at level 1: Moving to Node #0,0 Current State: 27:[24, 28, 25], Operations: ['99-74=25'] Exploring Operation: 28-24=4, Resulting Numbers: [25, 4] Generated Node #0,0,0: 27:[25, 4] Operation: 28-24=4 Exploring Operation: 28-25=3, Resulting Numbers: [24, 3] Generated Node #0,0,1: 27:[24, 3] Operation: 28-25=3 Exploring Operation: 25-24=1, Resulting Numbers: [28, 1] Generated Node #0,0,2: 27:[28, 1] Operation: 25-24=1 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 27:[25, 4], Operations: ['99-74=25', '28-24=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,27 unequal: No Solution Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,27 unequal: No Solution Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 27:[24, 3], Operations: ['99-74=25', '28-25=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[74, 99, 24, 28], Operations: [] Exploring Operation: 99-74=25, Resulting Numbers: [24, 28, 25] Generated Node #0,0: 27:[24, 28, 25] Operation: 99-74=25 Moving to Node #0,0 Current State: 27:[24, 28, 25], Operations: ['99-74=25'] Exploring Operation: 28-25=3, Resulting Numbers: [24, 3] Generated Node #0,0,1: 27:[24, 3] Operation: 28-25=3 Moving to Node #0,0,1 Current State: 27:[24, 3], Operations: ['99-74=25', '28-25=3'] Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_3
mult_heuristic
[ 15, 9, 24, 82 ]
29
[ "15*9=135", "24+82=106", "135-106=29" ]
Current State: 29:[15, 9, 24, 82], Operations: [] Exploring Operation: 15*9=135, Resulting Numbers: [24, 82, 135] Generated Node #2: [24, 82, 135] from Operation: 15*9=135 Current State: 29:[24, 82, 135], Operations: ['15*9=135'] Exploring Operation: 24+82=106, Resulting Numbers: [135, 106] Generated Node #3: [135, 106] from Operation: 24+82=106 Current State: 29:[135, 106], Operations: ['15*9=135', '24+82=106'] Exploring Operation: 135-106=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[15, 9, 24, 82], Operations: [] Exploring Operation: 82-15=67, Resulting Numbers: [9, 24, 67] Generated Node #0,0: 29:[9, 24, 67] Operation: 82-15=67 Exploring Operation: 82-9=73, Resulting Numbers: [15, 24, 73] Generated Node #0,1: 29:[15, 24, 73] Operation: 82-9=73 Exploring Operation: 82-24=58, Resulting Numbers: [15, 9, 58] Generated Node #0,2: 29:[15, 9, 58] Operation: 82-24=58 Exploring Operation: 9+24=33, Resulting Numbers: [15, 82, 33] Generated Node #0,3: 29:[15, 82, 33] Operation: 9+24=33 Exploring Operation: 15+9=24, Resulting Numbers: [24, 82, 24] Generated Node #0,4: 29:[24, 82, 24] Operation: 15+9=24 Moving to Node #0,0 Current State: 29:[9, 24, 67], Operations: ['82-15=67'] Exploring Operation: 24-9=15, Resulting Numbers: [67, 15] Generated Node #0,0,0: 29:[67, 15] Operation: 24-9=15 Exploring Operation: 67-24=43, Resulting Numbers: [9, 43] Generated Node #0,0,1: 29:[9, 43] Operation: 67-24=43 Exploring Operation: 9+24=33, Resulting Numbers: [67, 33] Generated Node #0,0,2: 29:[67, 33] Operation: 9+24=33 Exploring Operation: 67-9=58, Resulting Numbers: [24, 58] Generated Node #0,0,3: 29:[24, 58] Operation: 67-9=58 Exploring Operation: 9+67=76, Resulting Numbers: [24, 76] Generated Node #0,0,4: 29:[24, 76] Operation: 9+67=76 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 29:[9, 43], Operations: ['82-15=67', '67-24=43'] Exploring Operation: 9*43=387, Resulting Numbers: [387] 387,29 unequal: No Solution Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,29 unequal: No Solution Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 29:[24, 58], Operations: ['82-15=67', '67-9=58'] Exploring Operation: 24*58=1392, Resulting Numbers: [1392] 1392,29 unequal: No Solution Exploring Operation: 24+58=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 29:[67, 33], Operations: ['82-15=67', '9+24=33'] Exploring Operation: 67+33=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 67*33=2211, Resulting Numbers: [2211] 2211,29 unequal: No Solution Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[67, 15], Operations: ['82-15=67', '24-9=15'] Exploring Operation: 67*15=1005, Resulting Numbers: [1005] 1005,29 unequal: No Solution Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,29 unequal: No Solution Exploring Operation: 67+15=82, Resulting Numbers: [82] 82,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 29:[24, 76], Operations: ['82-15=67', '9+67=76'] Exploring Operation: 24+76=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 24*76=1824, Resulting Numbers: [1824] 1824,29 unequal: No Solution Exploring Operation: 76-24=52, Resulting Numbers: [52] 52,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 29:[15, 9, 58], Operations: ['82-24=58'] Exploring Operation: 58-9=49, Resulting Numbers: [15, 49] Generated Node #0,2,0: 29:[15, 49] Operation: 58-9=49 Exploring Operation: 15+9=24, Resulting Numbers: [58, 24] Generated Node #0,2,1: 29:[58, 24] Operation: 15+9=24 Exploring Operation: 9+58=67, Resulting Numbers: [15, 67] Generated Node #0,2,2: 29:[15, 67] Operation: 9+58=67 Exploring Operation: 58-15=43, Resulting Numbers: [9, 43] Generated Node #0,2,3: 29:[9, 43] Operation: 58-15=43 Exploring Operation: 15-9=6, Resulting Numbers: [58, 6] Generated Node #0,2,4: 29:[58, 6] Operation: 15-9=6 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 29:[15, 49], Operations: ['82-24=58', '58-9=49'] Exploring Operation: 15*49=735, Resulting Numbers: [735] 735,29 unequal: No Solution Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 29:[58, 24], Operations: ['82-24=58', '15+9=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 58+24=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 58*24=1392, Resulting Numbers: [1392] 1392,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 29:[9, 43], Operations: ['82-24=58', '58-15=43'] Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,29 unequal: No Solution Exploring Operation: 43-9=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 9*43=387, Resulting Numbers: [387] 387,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 29:[15, 67], Operations: ['82-24=58', '9+58=67'] Exploring Operation: 15+67=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 67-15=52, Resulting Numbers: [52] 52,29 unequal: No Solution Exploring Operation: 15*67=1005, Resulting Numbers: [1005] 1005,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 29:[58, 6], Operations: ['82-24=58', '15-9=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,29 unequal: No Solution Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,29 unequal: No Solution Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 29:[15, 24, 73], Operations: ['82-9=73'] Exploring Operation: 73-15=58, Resulting Numbers: [24, 58] Generated Node #0,1,0: 29:[24, 58] Operation: 73-15=58 Exploring Operation: 73-24=49, Resulting Numbers: [15, 49] Generated Node #0,1,1: 29:[15, 49] Operation: 73-24=49 Exploring Operation: 24-15=9, Resulting Numbers: [73, 9] Generated Node #0,1,2: 29:[73, 9] Operation: 24-15=9 Exploring Operation: 15+24=39, Resulting Numbers: [73, 39] Generated Node #0,1,3: 29:[73, 39] Operation: 15+24=39 Exploring Operation: 15+73=88, Resulting Numbers: [24, 88] Generated Node #0,1,4: 29:[24, 88] Operation: 15+73=88 Moving to Node #0,4 Current State: 29:[24, 82, 24], Operations: ['15+9=24'] Exploring Operation: 24/24=1, Resulting Numbers: [82, 1] Generated Node #0,4,0: 29:[82, 1] Operation: 24/24=1 Exploring Operation: 24+82=106, Resulting Numbers: [24, 106] Generated Node #0,4,1: 29:[24, 106] Operation: 24+82=106 Exploring Operation: 24+24=48, Resulting Numbers: [82, 48] Generated Node #0,4,2: 29:[82, 48] Operation: 24+24=48 Exploring Operation: 82-24=58, Resulting Numbers: [24, 58] Generated Node #0,4,3: 29:[24, 58] Operation: 82-24=58 Exploring Operation: 82-24=58, Resulting Numbers: [24, 58] Generated Node #0,4,4: 29:[24, 58] Operation: 82-24=58 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 29:[24, 58], Operations: ['15+9=24', '82-24=58'] Exploring Operation: 24*58=1392, Resulting Numbers: [1392] 1392,29 unequal: No Solution Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 24+58=82, Resulting Numbers: [82] 82,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 29:[24, 58], Operations: ['15+9=24', '82-24=58'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 24*58=1392, Resulting Numbers: [1392] 1392,29 unequal: No Solution Exploring Operation: 24+58=82, Resulting Numbers: [82] 82,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 29:[82, 48], Operations: ['15+9=24', '24+24=48'] Exploring Operation: 82*48=3936, Resulting Numbers: [3936] 3936,29 unequal: No Solution Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 82+48=130, Resulting Numbers: [130] 130,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 29:[82, 1], Operations: ['15+9=24', '24/24=1'] Exploring Operation: 82/1=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,29 unequal: No Solution Exploring Operation: 82+1=83, Resulting Numbers: [83] 83,29 unequal: No Solution Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 29:[24, 106], Operations: ['15+9=24', '24+82=106'] Exploring Operation: 24*106=2544, Resulting Numbers: [2544] 2544,29 unequal: No Solution Exploring Operation: 24+106=130, Resulting Numbers: [130] 130,29 unequal: No Solution Exploring Operation: 106-24=82, Resulting Numbers: [82] 82,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 29:[15, 82, 33], Operations: ['9+24=33'] Exploring Operation: 82-33=49, Resulting Numbers: [15, 49] Generated Node #0,3,0: 29:[15, 49] Operation: 82-33=49 Exploring Operation: 15+33=48, Resulting Numbers: [82, 48] Generated Node #0,3,1: 29:[82, 48] Operation: 15+33=48 Exploring Operation: 33-15=18, Resulting Numbers: [82, 18] Generated Node #0,3,2: 29:[82, 18] Operation: 33-15=18 Exploring Operation: 82-15=67, Resulting Numbers: [33, 67] Generated Node #0,3,3: 29:[33, 67] Operation: 82-15=67 Exploring Operation: 15+82=97, Resulting Numbers: [33, 97] Generated Node #0,3,4: 29:[33, 97] Operation: 15+82=97 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 29:[15, 49], Operations: ['9+24=33', '82-33=49'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 15*49=735, Resulting Numbers: [735] 735,29 unequal: No Solution Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 29:[33, 67], Operations: ['9+24=33', '82-15=67'] Exploring Operation: 33*67=2211, Resulting Numbers: [2211] 2211,29 unequal: No Solution Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 29:[82, 18], Operations: ['9+24=33', '33-15=18'] Exploring Operation: 82-18=64, Resulting Numbers: [64] 64,29 unequal: No Solution Exploring Operation: 82+18=100, Resulting Numbers: [100] 100,29 unequal: No Solution Exploring Operation: 82*18=1476, Resulting Numbers: [1476] 1476,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 29:[82, 48], Operations: ['9+24=33', '15+33=48'] Exploring Operation: 82+48=130, Resulting Numbers: [130] 130,29 unequal: No Solution Exploring Operation: 82*48=3936, Resulting Numbers: [3936] 3936,29 unequal: No Solution Exploring Operation: 82-48=34, Resulting Numbers: [34] 34,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 29:[33, 97], Operations: ['9+24=33', '15+82=97'] Exploring Operation: 33*97=3201, Resulting Numbers: [3201] 3201,29 unequal: No Solution Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,29 unequal: No Solution Exploring Operation: 33+97=130, Resulting Numbers: [130] 130,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 29:[24, 58], Operations: ['82-9=73', '73-15=58'] Exploring Operation: 24+58=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 24*58=1392, Resulting Numbers: [1392] 1392,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[15, 49], Operations: ['82-9=73', '73-24=49'] Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 15*49=735, Resulting Numbers: [735] 735,29 unequal: No Solution Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,29 unequal: No Solution Moving to Node #0,1,3 Current State: 29:[73, 39], Operations: ['82-9=73', '15+24=39'] Exploring Operation: 73+39=112, Resulting Numbers: [112] 112,29 unequal: No Solution Exploring Operation: 73-39=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 73*39=2847, Resulting Numbers: [2847] 2847,29 unequal: No Solution Moving to Node #0,1,2 Current State: 29:[73, 9], Operations: ['82-9=73', '24-15=9'] Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,29 unequal: No Solution Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,29 unequal: No Solution Exploring Operation: 73*9=657, Resulting Numbers: [657] 657,29 unequal: No Solution Moving to Node #0,1,4 Current State: 29:[24, 88], Operations: ['82-9=73', '15+73=88'] Exploring Operation: 24+88=112, Resulting Numbers: [112] 112,29 unequal: No Solution Exploring Operation: 24*88=2112, Resulting Numbers: [2112] 2112,29 unequal: No Solution Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,29 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 16, 46, 9, 7 ]
14
[ "46-16=30", "9+7=16", "30-16=14" ]
Current State: 14:[16, 46, 9, 7], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [9, 7, 30] Generated Node #2: [9, 7, 30] from Operation: 46-16=30 Current State: 14:[9, 7, 30], Operations: ['46-16=30'] Exploring Operation: 9+7=16, Resulting Numbers: [30, 16] Generated Node #3: [30, 16] from Operation: 9+7=16 Current State: 14:[30, 16], Operations: ['46-16=30', '9+7=16'] Exploring Operation: 30-16=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[16, 46, 9, 7], Operations: [] Exploring Operation: 16-9=7, Resulting Numbers: [46, 7, 7] Generated Node #0,0: 14:[46, 7, 7] Operation: 16-9=7 Exploring Operation: 46-9=37, Resulting Numbers: [16, 7, 37] Generated Node #0,1: 14:[16, 7, 37] Operation: 46-9=37 Exploring Operation: 46-16=30, Resulting Numbers: [9, 7, 30] Generated Node #0,2: 14:[9, 7, 30] Operation: 46-16=30 Exploring Operation: 46-7=39, Resulting Numbers: [16, 9, 39] Generated Node #0,3: 14:[16, 9, 39] Operation: 46-7=39 Start Sub Search at level 1: Moving to Node #0,2 Current State: 14:[9, 7, 30], Operations: ['46-16=30'] Exploring Operation: 30-7=23, Resulting Numbers: [9, 23] Generated Node #0,2,0: 14:[9, 23] Operation: 30-7=23 Exploring Operation: 9-7=2, Resulting Numbers: [30, 2] Generated Node #0,2,1: 14:[30, 2] Operation: 9-7=2 Exploring Operation: 9+7=16, Resulting Numbers: [30, 16] Generated Node #0,2,2: 14:[30, 16] Operation: 9+7=16 Exploring Operation: 30-9=21, Resulting Numbers: [7, 21] Generated Node #0,2,3: 14:[7, 21] Operation: 30-9=21 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 14:[7, 21], Operations: ['46-16=30', '30-9=21'] Exploring Operation: 21/7=3, Resulting Numbers: [3] 3,14 unequal: No Solution Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Moving to Node #0 Current State: 14:[16, 46, 9, 7], Operations: [] Exploring Operation: 46-16=30, Resulting Numbers: [9, 7, 30] Generated Node #0,2: 14:[9, 7, 30] Operation: 46-16=30 Moving to Node #0,2 Current State: 14:[9, 7, 30], Operations: ['46-16=30'] Exploring Operation: 30-9=21, Resulting Numbers: [7, 21] Generated Node #0,2,3: 14:[7, 21] Operation: 30-9=21 Moving to Node #0,2,3 Current State: 14:[7, 21], Operations: ['46-16=30', '30-9=21'] Exploring Operation: 21-7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_4
mult_heuristic
[ 10, 14, 15, 3 ]
12
[ "10+14=24", "15-3=12", "24-12=12" ]
Current State: 12:[10, 14, 15, 3], Operations: [] Exploring Operation: 10+14=24, Resulting Numbers: [15, 3, 24] Generated Node #2: [15, 3, 24] from Operation: 10+14=24 Current State: 12:[15, 3, 24], Operations: ['10+14=24'] Exploring Operation: 15-3=12, Resulting Numbers: [24, 12] Generated Node #3: [24, 12] from Operation: 15-3=12 Current State: 12:[24, 12], Operations: ['10+14=24', '15-3=12'] Exploring Operation: 24-12=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[10, 14, 15, 3], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [14, 3, 5] Generated Node #0,0: 12:[14, 3, 5] Operation: 15-10=5 Exploring Operation: 14-10=4, Resulting Numbers: [15, 3, 4] Generated Node #0,1: 12:[15, 3, 4] Operation: 14-10=4 Exploring Operation: 15-3=12, Resulting Numbers: [10, 14, 12] Generated Node #0,2: 12:[10, 14, 12] Operation: 15-3=12 Exploring Operation: 15-14=1, Resulting Numbers: [10, 3, 1] Generated Node #0,3: 12:[10, 3, 1] Operation: 15-14=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[14, 3, 5], Operations: ['15-10=5'] Exploring Operation: 14-5=9, Resulting Numbers: [3, 9] Generated Node #0,0,0: 12:[3, 9] Operation: 14-5=9 Exploring Operation: 14-3=11, Resulting Numbers: [5, 11] Generated Node #0,0,1: 12:[5, 11] Operation: 14-3=11 Exploring Operation: 5-3=2, Resulting Numbers: [14, 2] Generated Node #0,0,2: 12:[14, 2] Operation: 5-3=2 Exploring Operation: 3+5=8, Resulting Numbers: [14, 8] Generated Node #0,0,3: 12:[14, 8] Operation: 3+5=8 Moving to Node #0,0,1 Current State: 12:[5, 11], Operations: ['15-10=5', '14-3=11'] Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,12 unequal: No Solution Exploring Operation: 5*11=55, Resulting Numbers: [55] 55,12 unequal: No Solution Exploring Operation: 11-5=6, Resulting Numbers: [6] 6,12 unequal: No Solution Moving to Node #0,0,2 Current State: 12:[14, 2], Operations: ['15-10=5', '5-3=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[10, 14, 15, 3], Operations: [] Exploring Operation: 15-10=5, Resulting Numbers: [14, 3, 5] Generated Node #0,0: 12:[14, 3, 5] Operation: 15-10=5 Moving to Node #0,0 Current State: 12:[14, 3, 5], Operations: ['15-10=5'] Exploring Operation: 5-3=2, Resulting Numbers: [14, 2] Generated Node #0,0,2: 12:[14, 2] Operation: 5-3=2 Moving to Node #0,0,2 Current State: 12:[14, 2], Operations: ['15-10=5', '5-3=2'] Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_4
mult_heuristic
[ 52, 5, 13, 3 ]
52
[ "5+3=8", "13*8=104", "104-52=52" ]
Current State: 52:[52, 5, 13, 3], Operations: [] Exploring Operation: 5+3=8, Resulting Numbers: [52, 13, 8] Generated Node #2: [52, 13, 8] from Operation: 5+3=8 Current State: 52:[52, 13, 8], Operations: ['5+3=8'] Exploring Operation: 13*8=104, Resulting Numbers: [52, 104] Generated Node #3: [52, 104] from Operation: 13*8=104 Current State: 52:[52, 104], Operations: ['5+3=8', '13*8=104'] Exploring Operation: 104-52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[52, 5, 13, 3], Operations: [] Exploring Operation: 5*3=15, Resulting Numbers: [52, 13, 15] Generated Node #0,0: 52:[52, 13, 15] Operation: 5*3=15 Exploring Operation: 52+3=55, Resulting Numbers: [5, 13, 55] Generated Node #0,1: 52:[5, 13, 55] Operation: 52+3=55 Exploring Operation: 52/13=4, Resulting Numbers: [5, 3, 4] Generated Node #0,2: 52:[5, 3, 4] Operation: 52/13=4 Exploring Operation: 5-3=2, Resulting Numbers: [52, 13, 2] Generated Node #0,3: 52:[52, 13, 2] Operation: 5-3=2 Moving to Node #0,3 Current State: 52:[52, 13, 2], Operations: ['5-3=2'] Exploring Operation: 52/13=4, Resulting Numbers: [2, 4] Generated Node #0,3,0: 52:[2, 4] Operation: 52/13=4 Exploring Operation: 13*2=26, Resulting Numbers: [52, 26] Generated Node #0,3,1: 52:[52, 26] Operation: 13*2=26 Exploring Operation: 52+2=54, Resulting Numbers: [13, 54] Generated Node #0,3,2: 52:[13, 54] Operation: 52+2=54 Exploring Operation: 52/2=26, Resulting Numbers: [13, 26] Generated Node #0,3,3: 52:[13, 26] Operation: 52/2=26 Moving to Node #0,2 Current State: 52:[5, 3, 4], Operations: ['52/13=4'] Exploring Operation: 5-3=2, Resulting Numbers: [4, 2] Generated Node #0,2,0: 52:[4, 2] Operation: 5-3=2 Exploring Operation: 3*4=12, Resulting Numbers: [5, 12] Generated Node #0,2,1: 52:[5, 12] Operation: 3*4=12 Exploring Operation: 5-4=1, Resulting Numbers: [3, 1] Generated Node #0,2,2: 52:[3, 1] Operation: 5-4=1 Exploring Operation: 5*3=15, Resulting Numbers: [4, 15] Generated Node #0,2,3: 52:[4, 15] Operation: 5*3=15 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 52:[4, 2], Operations: ['52/13=4', '5-3=2'] Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 4+2=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 4*2=8, Resulting Numbers: [8] 8,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 52:[5, 12], Operations: ['52/13=4', '3*4=12'] Exploring Operation: 5+12=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 12-5=7, Resulting Numbers: [7] 7,52 unequal: No Solution Exploring Operation: 5*12=60, Resulting Numbers: [60] 60,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 52:[3, 1], Operations: ['52/13=4', '5-4=1'] Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 52:[4, 15], Operations: ['52/13=4', '5*3=15'] Exploring Operation: 4+15=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,52 unequal: No Solution Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 52:[52, 13, 15], Operations: ['5*3=15'] Exploring Operation: 15-13=2, Resulting Numbers: [52, 2] Generated Node #0,0,0: 52:[52, 2] Operation: 15-13=2 Exploring Operation: 52-15=37, Resulting Numbers: [13, 37] Generated Node #0,0,1: 52:[13, 37] Operation: 52-15=37 Exploring Operation: 52/13=4, Resulting Numbers: [15, 4] Generated Node #0,0,2: 52:[15, 4] Operation: 52/13=4 Exploring Operation: 13+15=28, Resulting Numbers: [52, 28] Generated Node #0,0,3: 52:[52, 28] Operation: 13+15=28 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 52:[52, 2], Operations: ['5*3=15', '15-13=2'] Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,52 unequal: No Solution Exploring Operation: 52*2=104, Resulting Numbers: [104] 104,52 unequal: No Solution Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 52:[15, 4], Operations: ['5*3=15', '52/13=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 52:[52, 28], Operations: ['5*3=15', '13+15=28'] Exploring Operation: 52*28=1456, Resulting Numbers: [1456] 1456,52 unequal: No Solution Exploring Operation: 52+28=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 52-28=24, Resulting Numbers: [24] 24,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 52:[13, 37], Operations: ['5*3=15', '52-15=37'] Exploring Operation: 13*37=481, Resulting Numbers: [481] 481,52 unequal: No Solution Exploring Operation: 37-13=24, Resulting Numbers: [24] 24,52 unequal: No Solution Exploring Operation: 13+37=50, Resulting Numbers: [50] 50,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 52:[5, 13, 55], Operations: ['52+3=55'] Exploring Operation: 55-5=50, Resulting Numbers: [13, 50] Generated Node #0,1,0: 52:[13, 50] Operation: 55-5=50 Exploring Operation: 13-5=8, Resulting Numbers: [55, 8] Generated Node #0,1,1: 52:[55, 8] Operation: 13-5=8 Exploring Operation: 55/5=11, Resulting Numbers: [13, 11] Generated Node #0,1,2: 52:[13, 11] Operation: 55/5=11 Exploring Operation: 5+13=18, Resulting Numbers: [55, 18] Generated Node #0,1,3: 52:[55, 18] Operation: 5+13=18 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 52:[13, 50], Operations: ['52+3=55', '55-5=50'] Exploring Operation: 13+50=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 13*50=650, Resulting Numbers: [650] 650,52 unequal: No Solution Exploring Operation: 50-13=37, Resulting Numbers: [37] 37,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 52:[13, 11], Operations: ['52+3=55', '55/5=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,52 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 13*11=143, Resulting Numbers: [143] 143,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 52:[55, 8], Operations: ['52+3=55', '13-5=8'] Exploring Operation: 55*8=440, Resulting Numbers: [440] 440,52 unequal: No Solution Exploring Operation: 55-8=47, Resulting Numbers: [47] 47,52 unequal: No Solution Exploring Operation: 55+8=63, Resulting Numbers: [63] 63,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 52:[55, 18], Operations: ['52+3=55', '5+13=18'] Exploring Operation: 55+18=73, Resulting Numbers: [73] 73,52 unequal: No Solution Exploring Operation: 55-18=37, Resulting Numbers: [37] 37,52 unequal: No Solution Exploring Operation: 55*18=990, Resulting Numbers: [990] 990,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 52:[2, 4], Operations: ['5-3=2', '52/13=4'] Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,52 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,52 unequal: No Solution Moving to Node #0,3,3 Current State: 52:[13, 26], Operations: ['5-3=2', '52/2=26'] Exploring Operation: 26/13=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 13*26=338, Resulting Numbers: [338] 338,52 unequal: No Solution Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,52 unequal: No Solution Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[52, 26], Operations: ['5-3=2', '13*2=26'] Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,52 unequal: No Solution Exploring Operation: 52*26=1352, Resulting Numbers: [1352] 1352,52 unequal: No Solution Exploring Operation: 52+26=78, Resulting Numbers: [78] 78,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[13, 54], Operations: ['5-3=2', '52+2=54'] Exploring Operation: 13+54=67, Resulting Numbers: [67] 67,52 unequal: No Solution Exploring Operation: 13*54=702, Resulting Numbers: [702] 702,52 unequal: No Solution Exploring Operation: 54-13=41, Resulting Numbers: [41] 41,52 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 96, 89, 95, 54 ]
70
[ "95-89=6", "96/6=16", "54+16=70" ]
Current State: 70:[96, 89, 95, 54], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [96, 54, 6] Generated Node #2: [96, 54, 6] from Operation: 95-89=6 Current State: 70:[96, 54, 6], Operations: ['95-89=6'] Exploring Operation: 96/6=16, Resulting Numbers: [54, 16] Generated Node #3: [54, 16] from Operation: 96/6=16 Current State: 70:[54, 16], Operations: ['95-89=6', '96/6=16'] Exploring Operation: 54+16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[96, 89, 95, 54], Operations: [] Exploring Operation: 89-54=35, Resulting Numbers: [96, 95, 35] Generated Node #0,0: 70:[96, 95, 35] Operation: 89-54=35 Exploring Operation: 96-54=42, Resulting Numbers: [89, 95, 42] Generated Node #0,1: 70:[89, 95, 42] Operation: 96-54=42 Exploring Operation: 96-89=7, Resulting Numbers: [95, 54, 7] Generated Node #0,2: 70:[95, 54, 7] Operation: 96-89=7 Exploring Operation: 95-89=6, Resulting Numbers: [96, 54, 6] Generated Node #0,3: 70:[96, 54, 6] Operation: 95-89=6 Exploring Operation: 96-95=1, Resulting Numbers: [89, 54, 1] Generated Node #0,4: 70:[89, 54, 1] Operation: 96-95=1 Start Sub Search at level 1: Moving to Node #0,4 Current State: 70:[89, 54, 1], Operations: ['96-95=1'] Exploring Operation: 89-1=88, Resulting Numbers: [54, 88] Generated Node #0,4,0: 70:[54, 88] Operation: 89-1=88 Exploring Operation: 89/1=89, Resulting Numbers: [54, 89] Generated Node #0,4,1: 70:[54, 89] Operation: 89/1=89 Exploring Operation: 89-54=35, Resulting Numbers: [1, 35] Generated Node #0,4,2: 70:[1, 35] Operation: 89-54=35 Exploring Operation: 89*1=89, Resulting Numbers: [54, 89] Generated Node #0,4,3: 70:[54, 89] Operation: 89*1=89 Exploring Operation: 54+1=55, Resulting Numbers: [89, 55] Generated Node #0,4,4: 70:[89, 55] Operation: 54+1=55 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 70:[1, 35], Operations: ['96-95=1', '89-54=35'] Exploring Operation: 1+35=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 35-1=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,70 unequal: No Solution Exploring Operation: 1*35=35, Resulting Numbers: [35] 35,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 70:[54, 88], Operations: ['96-95=1', '89-1=88'] Exploring Operation: 54*88=4752, Resulting Numbers: [4752] 4752,70 unequal: No Solution Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 54+88=142, Resulting Numbers: [142] 142,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 70:[89, 55], Operations: ['96-95=1', '54+1=55'] Exploring Operation: 89*55=4895, Resulting Numbers: [4895] 4895,70 unequal: No Solution Exploring Operation: 89-55=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 89+55=144, Resulting Numbers: [144] 144,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 70:[54, 89], Operations: ['96-95=1', '89/1=89'] Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,70 unequal: No Solution Exploring Operation: 54+89=143, Resulting Numbers: [143] 143,70 unequal: No Solution Exploring Operation: 54*89=4806, Resulting Numbers: [4806] 4806,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 70:[54, 89], Operations: ['96-95=1', '89*1=89'] Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,70 unequal: No Solution Exploring Operation: 54+89=143, Resulting Numbers: [143] 143,70 unequal: No Solution Exploring Operation: 54*89=4806, Resulting Numbers: [4806] 4806,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 70:[95, 54, 7], Operations: ['96-89=7'] Exploring Operation: 54-7=47, Resulting Numbers: [95, 47] Generated Node #0,2,0: 70:[95, 47] Operation: 54-7=47 Exploring Operation: 54+7=61, Resulting Numbers: [95, 61] Generated Node #0,2,1: 70:[95, 61] Operation: 54+7=61 Exploring Operation: 95-7=88, Resulting Numbers: [54, 88] Generated Node #0,2,2: 70:[54, 88] Operation: 95-7=88 Exploring Operation: 95-54=41, Resulting Numbers: [7, 41] Generated Node #0,2,3: 70:[7, 41] Operation: 95-54=41 Exploring Operation: 95+7=102, Resulting Numbers: [54, 102] Generated Node #0,2,4: 70:[54, 102] Operation: 95+7=102 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 70:[7, 41], Operations: ['96-89=7', '95-54=41'] Exploring Operation: 7*41=287, Resulting Numbers: [287] 287,70 unequal: No Solution Exploring Operation: 41-7=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 7+41=48, Resulting Numbers: [48] 48,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 70:[95, 61], Operations: ['96-89=7', '54+7=61'] Exploring Operation: 95*61=5795, Resulting Numbers: [5795] 5795,70 unequal: No Solution Exploring Operation: 95-61=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 95+61=156, Resulting Numbers: [156] 156,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 70:[54, 88], Operations: ['96-89=7', '95-7=88'] Exploring Operation: 88-54=34, Resulting Numbers: [34] 34,70 unequal: No Solution Exploring Operation: 54*88=4752, Resulting Numbers: [4752] 4752,70 unequal: No Solution Exploring Operation: 54+88=142, Resulting Numbers: [142] 142,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 70:[95, 47], Operations: ['96-89=7', '54-7=47'] Exploring Operation: 95+47=142, Resulting Numbers: [142] 142,70 unequal: No Solution Exploring Operation: 95-47=48, Resulting Numbers: [48] 48,70 unequal: No Solution Exploring Operation: 95*47=4465, Resulting Numbers: [4465] 4465,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 70:[54, 102], Operations: ['96-89=7', '95+7=102'] Exploring Operation: 54+102=156, Resulting Numbers: [156] 156,70 unequal: No Solution Exploring Operation: 54*102=5508, Resulting Numbers: [5508] 5508,70 unequal: No Solution Exploring Operation: 102-54=48, Resulting Numbers: [48] 48,70 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 70:[96, 54, 6], Operations: ['95-89=6'] Exploring Operation: 96-6=90, Resulting Numbers: [54, 90] Generated Node #0,3,0: 70:[54, 90] Operation: 96-6=90 Exploring Operation: 96-54=42, Resulting Numbers: [6, 42] Generated Node #0,3,1: 70:[6, 42] Operation: 96-54=42 Exploring Operation: 54/6=9, Resulting Numbers: [96, 9] Generated Node #0,3,2: 70:[96, 9] Operation: 54/6=9 Exploring Operation: 54+6=60, Resulting Numbers: [96, 60] Generated Node #0,3,3: 70:[96, 60] Operation: 54+6=60 Exploring Operation: 96/6=16, Resulting Numbers: [54, 16] Generated Node #0,3,4: 70:[54, 16] Operation: 96/6=16 Moving to Node #0,3,1 Current State: 70:[6, 42], Operations: ['95-89=6', '96-54=42'] Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,70 unequal: No Solution Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 6*42=252, Resulting Numbers: [252] 252,70 unequal: No Solution Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,70 unequal: No Solution Moving to Node #0,3,4 Current State: 70:[54, 16], Operations: ['95-89=6', '96/6=16'] Exploring Operation: 54+16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[96, 89, 95, 54], Operations: [] Exploring Operation: 95-89=6, Resulting Numbers: [96, 54, 6] Generated Node #0,3: 70:[96, 54, 6] Operation: 95-89=6 Moving to Node #0,3 Current State: 70:[96, 54, 6], Operations: ['95-89=6'] Exploring Operation: 96/6=16, Resulting Numbers: [54, 16] Generated Node #0,3,4: 70:[54, 16] Operation: 96/6=16 Moving to Node #0,3,4 Current State: 70:[54, 16], Operations: ['95-89=6', '96/6=16'] Exploring Operation: 54+16=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1
0.947917
hs_5
sum_heuristic
[ 6, 32, 87, 97 ]
48
[ "6+32=38", "97-87=10", "38+10=48" ]
Current State: 48:[6, 32, 87, 97], Operations: [] Exploring Operation: 6+32=38, Resulting Numbers: [87, 97, 38] Generated Node #2: [87, 97, 38] from Operation: 6+32=38 Current State: 48:[87, 97, 38], Operations: ['6+32=38'] Exploring Operation: 97-87=10, Resulting Numbers: [38, 10] Generated Node #3: [38, 10] from Operation: 97-87=10 Current State: 48:[38, 10], Operations: ['6+32=38', '97-87=10'] Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[6, 32, 87, 97], Operations: [] Exploring Operation: 97-32=65, Resulting Numbers: [6, 87, 65] Generated Node #0,0: 48:[6, 87, 65] Operation: 97-32=65 Exploring Operation: 87-32=55, Resulting Numbers: [6, 97, 55] Generated Node #0,1: 48:[6, 97, 55] Operation: 87-32=55 Exploring Operation: 97-87=10, Resulting Numbers: [6, 32, 10] Generated Node #0,2: 48:[6, 32, 10] Operation: 97-87=10 Moving to Node #0,2 Current State: 48:[6, 32, 10], Operations: ['97-87=10'] Exploring Operation: 32-6=26, Resulting Numbers: [10, 26] Generated Node #0,2,0: 48:[10, 26] Operation: 32-6=26 Exploring Operation: 32+10=42, Resulting Numbers: [6, 42] Generated Node #0,2,1: 48:[6, 42] Operation: 32+10=42 Exploring Operation: 32-10=22, Resulting Numbers: [6, 22] Generated Node #0,2,2: 48:[6, 22] Operation: 32-10=22 Moving to Node #0,0 Current State: 48:[6, 87, 65], Operations: ['97-32=65'] Exploring Operation: 87-65=22, Resulting Numbers: [6, 22] Generated Node #0,0,0: 48:[6, 22] Operation: 87-65=22 Exploring Operation: 65-6=59, Resulting Numbers: [87, 59] Generated Node #0,0,1: 48:[87, 59] Operation: 65-6=59 Exploring Operation: 87-6=81, Resulting Numbers: [65, 81] Generated Node #0,0,2: 48:[65, 81] Operation: 87-6=81 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 48:[6, 22], Operations: ['97-32=65', '87-65=22'] Exploring Operation: 6+22=28, Resulting Numbers: [28] 28,48 unequal: No Solution Exploring Operation: 6*22=132, Resulting Numbers: [132] 132,48 unequal: No Solution Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 48:[87, 59], Operations: ['97-32=65', '65-6=59'] Exploring Operation: 87*59=5133, Resulting Numbers: [5133] 5133,48 unequal: No Solution Exploring Operation: 87+59=146, Resulting Numbers: [146] 146,48 unequal: No Solution Exploring Operation: 87-59=28, Resulting Numbers: [28] 28,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 48:[65, 81], Operations: ['97-32=65', '87-6=81'] Exploring Operation: 65*81=5265, Resulting Numbers: [5265] 5265,48 unequal: No Solution Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,48 unequal: No Solution Exploring Operation: 65+81=146, Resulting Numbers: [146] 146,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 48:[6, 97, 55], Operations: ['87-32=55'] Exploring Operation: 55-6=49, Resulting Numbers: [97, 49] Generated Node #0,1,0: 48:[97, 49] Operation: 55-6=49 Exploring Operation: 97-6=91, Resulting Numbers: [55, 91] Generated Node #0,1,1: 48:[55, 91] Operation: 97-6=91 Exploring Operation: 97-55=42, Resulting Numbers: [6, 42] Generated Node #0,1,2: 48:[6, 42] Operation: 97-55=42 Moving to Node #0,2,2 Current State: 48:[6, 22], Operations: ['97-87=10', '32-10=22'] Exploring Operation: 6+22=28, Resulting Numbers: [28] 28,48 unequal: No Solution Exploring Operation: 22-6=16, Resulting Numbers: [16] 16,48 unequal: No Solution Exploring Operation: 6*22=132, Resulting Numbers: [132] 132,48 unequal: No Solution Moving to Node #0,2,0 Current State: 48:[10, 26], Operations: ['97-87=10', '32-6=26'] Exploring Operation: 10*26=260, Resulting Numbers: [260] 260,48 unequal: No Solution Exploring Operation: 10+26=36, Resulting Numbers: [36] 36,48 unequal: No Solution Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,48 unequal: No Solution Moving to Node #0,2,1 Current State: 48:[6, 42], Operations: ['97-87=10', '32+10=42'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,48 unequal: No Solution Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,48 unequal: No Solution Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[6, 32, 87, 97], Operations: [] Exploring Operation: 97-87=10, Resulting Numbers: [6, 32, 10] Generated Node #0,2: 48:[6, 32, 10] Operation: 97-87=10 Moving to Node #0,2 Current State: 48:[6, 32, 10], Operations: ['97-87=10'] Exploring Operation: 32+10=42, Resulting Numbers: [6, 42] Generated Node #0,2,1: 48:[6, 42] Operation: 32+10=42 Moving to Node #0,2,1 Current State: 48:[6, 42], Operations: ['97-87=10', '32+10=42'] Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
0.970486
hs_3
sum_heuristic
[ 49, 38, 22, 52 ]
77
[ "49*22=1078", "52-38=14", "1078/14=77" ]
Current State: 77:[49, 38, 22, 52], Operations: [] Exploring Operation: 49*22=1078, Resulting Numbers: [38, 52, 1078] Generated Node #2: [38, 52, 1078] from Operation: 49*22=1078 Current State: 77:[38, 52, 1078], Operations: ['49*22=1078'] Exploring Operation: 52-38=14, Resulting Numbers: [1078, 14] Generated Node #3: [1078, 14] from Operation: 52-38=14 Current State: 77:[1078, 14], Operations: ['49*22=1078', '52-38=14'] Exploring Operation: 1078/14=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[49, 38, 22, 52], Operations: [] Exploring Operation: 49+38=87, Resulting Numbers: [22, 52, 87] Generated Node #0,0: 77:[22, 52, 87] Operation: 49+38=87 Exploring Operation: 52-49=3, Resulting Numbers: [38, 22, 3] Generated Node #0,1: 77:[38, 22, 3] Operation: 52-49=3 Exploring Operation: 49-38=11, Resulting Numbers: [22, 52, 11] Generated Node #0,2: 77:[22, 52, 11] Operation: 49-38=11 Exploring Operation: 38+52=90, Resulting Numbers: [49, 22, 90] Generated Node #0,3: 77:[49, 22, 90] Operation: 38+52=90 Exploring Operation: 52-38=14, Resulting Numbers: [49, 22, 14] Generated Node #0,4: 77:[49, 22, 14] Operation: 52-38=14 Start Sub Search at level 1: Moving to Node #0,2 Current State: 77:[22, 52, 11], Operations: ['49-38=11'] Exploring Operation: 22-11=11, Resulting Numbers: [52, 11] Generated Node #0,2,0: 77:[52, 11] Operation: 22-11=11 Exploring Operation: 52-22=30, Resulting Numbers: [11, 30] Generated Node #0,2,1: 77:[11, 30] Operation: 52-22=30 Exploring Operation: 22+52=74, Resulting Numbers: [11, 74] Generated Node #0,2,2: 77:[11, 74] Operation: 22+52=74 Exploring Operation: 52+11=63, Resulting Numbers: [22, 63] Generated Node #0,2,3: 77:[22, 63] Operation: 52+11=63 Exploring Operation: 22/11=2, Resulting Numbers: [52, 2] Generated Node #0,2,4: 77:[52, 2] Operation: 22/11=2 Moving to Node #0,2,2 Current State: 77:[11, 74], Operations: ['49-38=11', '22+52=74'] Exploring Operation: 11+74=85, Resulting Numbers: [85] 85,77 unequal: No Solution Exploring Operation: 11*74=814, Resulting Numbers: [814] 814,77 unequal: No Solution Exploring Operation: 74-11=63, Resulting Numbers: [63] 63,77 unequal: No Solution Moving to Node #0,2,1 Current State: 77:[11, 30], Operations: ['49-38=11', '52-22=30'] Exploring Operation: 11+30=41, Resulting Numbers: [41] 41,77 unequal: No Solution Exploring Operation: 11*30=330, Resulting Numbers: [330] 330,77 unequal: No Solution Exploring Operation: 30-11=19, Resulting Numbers: [19] 19,77 unequal: No Solution Moving to Node #0,2,0 Current State: 77:[52, 11], Operations: ['49-38=11', '22-11=11'] Exploring Operation: 52*11=572, Resulting Numbers: [572] 572,77 unequal: No Solution Exploring Operation: 52+11=63, Resulting Numbers: [63] 63,77 unequal: No Solution Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,77 unequal: No Solution Moving to Node #0,2,3 Current State: 77:[22, 63], Operations: ['49-38=11', '52+11=63'] Exploring Operation: 22*63=1386, Resulting Numbers: [1386] 1386,77 unequal: No Solution Exploring Operation: 22+63=85, Resulting Numbers: [85] 85,77 unequal: No Solution Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,77 unequal: No Solution Moving to Node #0,2,4 Current State: 77:[52, 2], Operations: ['49-38=11', '22/11=2'] Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,77 unequal: No Solution Exploring Operation: 52*2=104, Resulting Numbers: [104] 104,77 unequal: No Solution Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,77 unequal: No Solution Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[38, 22, 3], Operations: ['52-49=3'] Exploring Operation: 38-3=35, Resulting Numbers: [22, 35] Generated Node #0,1,0: 77:[22, 35] Operation: 38-3=35 Exploring Operation: 22*3=66, Resulting Numbers: [38, 66] Generated Node #0,1,1: 77:[38, 66] Operation: 22*3=66 Exploring Operation: 38-22=16, Resulting Numbers: [3, 16] Generated Node #0,1,2: 77:[3, 16] Operation: 38-22=16 Exploring Operation: 22-3=19, Resulting Numbers: [38, 19] Generated Node #0,1,3: 77:[38, 19] Operation: 22-3=19 Exploring Operation: 38+22=60, Resulting Numbers: [3, 60] Generated Node #0,1,4: 77:[3, 60] Operation: 38+22=60 Moving to Node #0,1,2 Current State: 77:[3, 16], Operations: ['52-49=3', '38-22=16'] Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,77 unequal: No Solution Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,77 unequal: No Solution Moving to Node #0,1,4 Current State: 77:[3, 60], Operations: ['52-49=3', '38+22=60'] Exploring Operation: 3*60=180, Resulting Numbers: [180] 180,77 unequal: No Solution Exploring Operation: 60/3=20, Resulting Numbers: [20] 20,77 unequal: No Solution Exploring Operation: 3+60=63, Resulting Numbers: [63] 63,77 unequal: No Solution Exploring Operation: 60-3=57, Resulting Numbers: [57] 57,77 unequal: No Solution Moving to Node #0,1,0 Current State: 77:[22, 35], Operations: ['52-49=3', '38-3=35'] Exploring Operation: 22*35=770, Resulting Numbers: [770] 770,77 unequal: No Solution Exploring Operation: 22+35=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,77 unequal: No Solution Moving to Node #0,1,3 Current State: 77:[38, 19], Operations: ['52-49=3', '22-3=19'] Exploring Operation: 38*19=722, Resulting Numbers: [722] 722,77 unequal: No Solution Exploring Operation: 38/19=2, Resulting Numbers: [2] 2,77 unequal: No Solution Exploring Operation: 38+19=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,77 unequal: No Solution Moving to Node #0,1,1 Current State: 77:[38, 66], Operations: ['52-49=3', '22*3=66'] Exploring Operation: 38*66=2508, Resulting Numbers: [2508] 2508,77 unequal: No Solution Exploring Operation: 66-38=28, Resulting Numbers: [28] 28,77 unequal: No Solution Exploring Operation: 38+66=104, Resulting Numbers: [104] 104,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 77:[49, 22, 14], Operations: ['52-38=14'] Exploring Operation: 49+14=63, Resulting Numbers: [22, 63] Generated Node #0,4,0: 77:[22, 63] Operation: 49+14=63 Exploring Operation: 49-22=27, Resulting Numbers: [14, 27] Generated Node #0,4,1: 77:[14, 27] Operation: 49-22=27 Exploring Operation: 49-14=35, Resulting Numbers: [22, 35] Generated Node #0,4,2: 77:[22, 35] Operation: 49-14=35 Exploring Operation: 49+22=71, Resulting Numbers: [14, 71] Generated Node #0,4,3: 77:[14, 71] Operation: 49+22=71 Exploring Operation: 22-14=8, Resulting Numbers: [49, 8] Generated Node #0,4,4: 77:[49, 8] Operation: 22-14=8 Moving to Node #0,4,3 Current State: 77:[14, 71], Operations: ['52-38=14', '49+22=71'] Exploring Operation: 14+71=85, Resulting Numbers: [85] 85,77 unequal: No Solution Exploring Operation: 14*71=994, Resulting Numbers: [994] 994,77 unequal: No Solution Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,77 unequal: No Solution Moving to Node #0,4,1 Current State: 77:[14, 27], Operations: ['52-38=14', '49-22=27'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,77 unequal: No Solution Exploring Operation: 14*27=378, Resulting Numbers: [378] 378,77 unequal: No Solution Moving to Node #0,4,0 Current State: 77:[22, 63], Operations: ['52-38=14', '49+14=63'] Exploring Operation: 22+63=85, Resulting Numbers: [85] 85,77 unequal: No Solution Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,77 unequal: No Solution Exploring Operation: 22*63=1386, Resulting Numbers: [1386] 1386,77 unequal: No Solution Moving to Node #0,4,4 Current State: 77:[49, 8], Operations: ['52-38=14', '22-14=8'] Exploring Operation: 49+8=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,77 unequal: No Solution Exploring Operation: 49*8=392, Resulting Numbers: [392] 392,77 unequal: No Solution Moving to Node #0,4,2 Current State: 77:[22, 35], Operations: ['52-38=14', '49-14=35'] Exploring Operation: 22+35=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 22*35=770, Resulting Numbers: [770] 770,77 unequal: No Solution Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[22, 52, 87], Operations: ['49+38=87'] Exploring Operation: 52-22=30, Resulting Numbers: [87, 30] Generated Node #0,0,0: 77:[87, 30] Operation: 52-22=30 Exploring Operation: 22+52=74, Resulting Numbers: [87, 74] Generated Node #0,0,1: 77:[87, 74] Operation: 22+52=74 Exploring Operation: 87-22=65, Resulting Numbers: [52, 65] Generated Node #0,0,2: 77:[52, 65] Operation: 87-22=65 Exploring Operation: 87-52=35, Resulting Numbers: [22, 35] Generated Node #0,0,3: 77:[22, 35] Operation: 87-52=35 Exploring Operation: 22+87=109, Resulting Numbers: [52, 109] Generated Node #0,0,4: 77:[52, 109] Operation: 22+87=109 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 77:[87, 74], Operations: ['49+38=87', '22+52=74'] Exploring Operation: 87-74=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 87*74=6438, Resulting Numbers: [6438] 6438,77 unequal: No Solution Exploring Operation: 87+74=161, Resulting Numbers: [161] 161,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 77:[87, 30], Operations: ['49+38=87', '52-22=30'] Exploring Operation: 87+30=117, Resulting Numbers: [117] 117,77 unequal: No Solution Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,77 unequal: No Solution Exploring Operation: 87*30=2610, Resulting Numbers: [2610] 2610,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 77:[22, 35], Operations: ['49+38=87', '87-52=35'] Exploring Operation: 35-22=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 22*35=770, Resulting Numbers: [770] 770,77 unequal: No Solution Exploring Operation: 22+35=57, Resulting Numbers: [57] 57,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 77:[52, 65], Operations: ['49+38=87', '87-22=65'] Exploring Operation: 52*65=3380, Resulting Numbers: [3380] 3380,77 unequal: No Solution Exploring Operation: 65-52=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 52+65=117, Resulting Numbers: [117] 117,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 77:[52, 109], Operations: ['49+38=87', '22+87=109'] Exploring Operation: 52*109=5668, Resulting Numbers: [5668] 5668,77 unequal: No Solution Exploring Operation: 52+109=161, Resulting Numbers: [161] 161,77 unequal: No Solution Exploring Operation: 109-52=57, Resulting Numbers: [57] 57,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 77:[49, 22, 90], Operations: ['38+52=90'] Exploring Operation: 49-22=27, Resulting Numbers: [90, 27] Generated Node #0,3,0: 77:[90, 27] Operation: 49-22=27 Exploring Operation: 90-49=41, Resulting Numbers: [22, 41] Generated Node #0,3,1: 77:[22, 41] Operation: 90-49=41 Exploring Operation: 22+90=112, Resulting Numbers: [49, 112] Generated Node #0,3,2: 77:[49, 112] Operation: 22+90=112 Exploring Operation: 49+22=71, Resulting Numbers: [90, 71] Generated Node #0,3,3: 77:[90, 71] Operation: 49+22=71 Exploring Operation: 90-22=68, Resulting Numbers: [49, 68] Generated Node #0,3,4: 77:[49, 68] Operation: 90-22=68 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 77:[90, 71], Operations: ['38+52=90', '49+22=71'] Exploring Operation: 90*71=6390, Resulting Numbers: [6390] 6390,77 unequal: No Solution Exploring Operation: 90+71=161, Resulting Numbers: [161] 161,77 unequal: No Solution Exploring Operation: 90-71=19, Resulting Numbers: [19] 19,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 77:[90, 27], Operations: ['38+52=90', '49-22=27'] Exploring Operation: 90*27=2430, Resulting Numbers: [2430] 2430,77 unequal: No Solution Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,77 unequal: No Solution Exploring Operation: 90+27=117, Resulting Numbers: [117] 117,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 77:[49, 68], Operations: ['38+52=90', '90-22=68'] Exploring Operation: 68-49=19, Resulting Numbers: [19] 19,77 unequal: No Solution Exploring Operation: 49+68=117, Resulting Numbers: [117] 117,77 unequal: No Solution Exploring Operation: 49*68=3332, Resulting Numbers: [3332] 3332,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 77:[22, 41], Operations: ['38+52=90', '90-49=41'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,77 unequal: No Solution Exploring Operation: 22+41=63, Resulting Numbers: [63] 63,77 unequal: No Solution Exploring Operation: 22*41=902, Resulting Numbers: [902] 902,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 77:[49, 112], Operations: ['38+52=90', '22+90=112'] Exploring Operation: 49*112=5488, Resulting Numbers: [5488] 5488,77 unequal: No Solution Exploring Operation: 49+112=161, Resulting Numbers: [161] 161,77 unequal: No Solution Exploring Operation: 112-49=63, Resulting Numbers: [63] 63,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 3, 62, 57, 2 ]
21
[ "62-57=5", "2+5=7", "3*7=21" ]
Current State: 21:[3, 62, 57, 2], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [3, 2, 5] Generated Node #2: [3, 2, 5] from Operation: 62-57=5 Current State: 21:[3, 2, 5], Operations: ['62-57=5'] Exploring Operation: 2+5=7, Resulting Numbers: [3, 7] Generated Node #3: [3, 7] from Operation: 2+5=7 Current State: 21:[3, 7], Operations: ['62-57=5', '2+5=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[3, 62, 57, 2], Operations: [] Exploring Operation: 57/3=19, Resulting Numbers: [62, 2, 19] Generated Node #0,0: 21:[62, 2, 19] Operation: 57/3=19 Exploring Operation: 62-57=5, Resulting Numbers: [3, 2, 5] Generated Node #0,1: 21:[3, 2, 5] Operation: 62-57=5 Moving to Node #0,1 Current State: 21:[3, 2, 5], Operations: ['62-57=5'] Exploring Operation: 2+5=7, Resulting Numbers: [3, 7] Generated Node #0,1,0: 21:[3, 7] Operation: 2+5=7 Exploring Operation: 5-2=3, Resulting Numbers: [3, 3] Generated Node #0,1,1: 21:[3, 3] Operation: 5-2=3 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 21:[3, 7], Operations: ['62-57=5', '2+5=7'] Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[3, 62, 57, 2], Operations: [] Exploring Operation: 62-57=5, Resulting Numbers: [3, 2, 5] Generated Node #0,1: 21:[3, 2, 5] Operation: 62-57=5 Moving to Node #0,1 Current State: 21:[3, 2, 5], Operations: ['62-57=5'] Exploring Operation: 2+5=7, Resulting Numbers: [3, 7] Generated Node #0,1,0: 21:[3, 7] Operation: 2+5=7 Moving to Node #0,1,0 Current State: 21:[3, 7], Operations: ['62-57=5', '2+5=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 93, 72, 82, 2 ]
81
[ "93+72=165", "82+2=84", "165-84=81" ]
Current State: 81:[93, 72, 82, 2], Operations: [] Exploring Operation: 93+72=165, Resulting Numbers: [82, 2, 165] Generated Node #2: [82, 2, 165] from Operation: 93+72=165 Current State: 81:[82, 2, 165], Operations: ['93+72=165'] Exploring Operation: 82+2=84, Resulting Numbers: [165, 84] Generated Node #3: [165, 84] from Operation: 82+2=84 Current State: 81:[165, 84], Operations: ['93+72=165', '82+2=84'] Exploring Operation: 165-84=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[93, 72, 82, 2], Operations: [] Exploring Operation: 93-72=21, Resulting Numbers: [82, 2, 21] Generated Node #0,0: 81:[82, 2, 21] Operation: 93-72=21 Exploring Operation: 93-82=11, Resulting Numbers: [72, 2, 11] Generated Node #0,1: 81:[72, 2, 11] Operation: 93-82=11 Moving to Node #0,0 Current State: 81:[82, 2, 21], Operations: ['93-72=21'] Exploring Operation: 2+21=23, Resulting Numbers: [82, 23] Generated Node #0,0,0: 81:[82, 23] Operation: 2+21=23 Exploring Operation: 82-2=80, Resulting Numbers: [21, 80] Generated Node #0,0,1: 81:[21, 80] Operation: 82-2=80 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 81:[82, 23], Operations: ['93-72=21', '2+21=23'] Exploring Operation: 82-23=59, Resulting Numbers: [59] 59,81 unequal: No Solution Exploring Operation: 82+23=105, Resulting Numbers: [105] 105,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 81:[21, 80], Operations: ['93-72=21', '82-2=80'] Exploring Operation: 21+80=101, Resulting Numbers: [101] 101,81 unequal: No Solution Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 81:[72, 2, 11], Operations: ['93-82=11'] Exploring Operation: 72+11=83, Resulting Numbers: [2, 83] Generated Node #0,1,0: 81:[2, 83] Operation: 72+11=83 Exploring Operation: 72+2=74, Resulting Numbers: [11, 74] Generated Node #0,1,1: 81:[11, 74] Operation: 72+2=74 Moving to Node #0,1,0 Current State: 81:[2, 83], Operations: ['93-82=11', '72+11=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[93, 72, 82, 2], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [72, 2, 11] Generated Node #0,1: 81:[72, 2, 11] Operation: 93-82=11 Moving to Node #0,1 Current State: 81:[72, 2, 11], Operations: ['93-82=11'] Exploring Operation: 72+11=83, Resulting Numbers: [2, 83] Generated Node #0,1,0: 81:[2, 83] Operation: 72+11=83 Moving to Node #0,1,0 Current State: 81:[2, 83], Operations: ['93-82=11', '72+11=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
0.986979
hs_2
mult_heuristic
[ 23, 85, 69, 34 ]
54
[ "69/23=3", "85-34=51", "3+51=54" ]
Current State: 54:[23, 85, 69, 34], Operations: [] Exploring Operation: 69/23=3, Resulting Numbers: [85, 34, 3] Generated Node #2: [85, 34, 3] from Operation: 69/23=3 Current State: 54:[85, 34, 3], Operations: ['69/23=3'] Exploring Operation: 85-34=51, Resulting Numbers: [3, 51] Generated Node #3: [3, 51] from Operation: 85-34=51 Current State: 54:[3, 51], Operations: ['69/23=3', '85-34=51'] Exploring Operation: 3+51=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[23, 85, 69, 34], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [23, 34, 16] Generated Node #0,0: 54:[23, 34, 16] Operation: 85-69=16 Exploring Operation: 69/23=3, Resulting Numbers: [85, 34, 3] Generated Node #0,1: 54:[85, 34, 3] Operation: 69/23=3 Exploring Operation: 85-34=51, Resulting Numbers: [23, 69, 51] Generated Node #0,2: 54:[23, 69, 51] Operation: 85-34=51 Exploring Operation: 85-23=62, Resulting Numbers: [69, 34, 62] Generated Node #0,3: 54:[69, 34, 62] Operation: 85-23=62 Start Sub Search at level 1: Moving to Node #0,0 Current State: 54:[23, 34, 16], Operations: ['85-69=16'] Exploring Operation: 23-16=7, Resulting Numbers: [34, 7] Generated Node #0,0,0: 54:[34, 7] Operation: 23-16=7 Exploring Operation: 23+34=57, Resulting Numbers: [16, 57] Generated Node #0,0,1: 54:[16, 57] Operation: 23+34=57 Exploring Operation: 34-23=11, Resulting Numbers: [16, 11] Generated Node #0,0,2: 54:[16, 11] Operation: 34-23=11 Exploring Operation: 34-16=18, Resulting Numbers: [23, 18] Generated Node #0,0,3: 54:[23, 18] Operation: 34-16=18 Moving to Node #0,0,2 Current State: 54:[16, 11], Operations: ['85-69=16', '34-23=11'] Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,54 unequal: No Solution Exploring Operation: 16-11=5, Resulting Numbers: [5] 5,54 unequal: No Solution Exploring Operation: 16*11=176, Resulting Numbers: [176] 176,54 unequal: No Solution Moving to Node #0,0,3 Current State: 54:[23, 18], Operations: ['85-69=16', '34-16=18'] Exploring Operation: 23-18=5, Resulting Numbers: [5] 5,54 unequal: No Solution Exploring Operation: 23*18=414, Resulting Numbers: [414] 414,54 unequal: No Solution Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,54 unequal: No Solution Moving to Node #0,0,1 Current State: 54:[16, 57], Operations: ['85-69=16', '23+34=57'] Exploring Operation: 16+57=73, Resulting Numbers: [73] 73,54 unequal: No Solution Exploring Operation: 16*57=912, Resulting Numbers: [912] 912,54 unequal: No Solution Exploring Operation: 57-16=41, Resulting Numbers: [41] 41,54 unequal: No Solution Moving to Node #0,0,0 Current State: 54:[34, 7], Operations: ['85-69=16', '23-16=7'] Exploring Operation: 34+7=41, Resulting Numbers: [41] 41,54 unequal: No Solution Exploring Operation: 34-7=27, Resulting Numbers: [27] 27,54 unequal: No Solution Exploring Operation: 34*7=238, Resulting Numbers: [238] 238,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 54:[23, 69, 51], Operations: ['85-34=51'] Exploring Operation: 51-23=28, Resulting Numbers: [69, 28] Generated Node #0,2,0: 54:[69, 28] Operation: 51-23=28 Exploring Operation: 69-51=18, Resulting Numbers: [23, 18] Generated Node #0,2,1: 54:[23, 18] Operation: 69-51=18 Exploring Operation: 69/23=3, Resulting Numbers: [51, 3] Generated Node #0,2,2: 54:[51, 3] Operation: 69/23=3 Exploring Operation: 69-23=46, Resulting Numbers: [51, 46] Generated Node #0,2,3: 54:[51, 46] Operation: 69-23=46 Moving to Node #0,2,2 Current State: 54:[51, 3], Operations: ['85-34=51', '69/23=3'] Exploring Operation: 51/3=17, Resulting Numbers: [17] 17,54 unequal: No Solution Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[23, 85, 69, 34], Operations: [] Exploring Operation: 85-34=51, Resulting Numbers: [23, 69, 51] Generated Node #0,2: 54:[23, 69, 51] Operation: 85-34=51 Moving to Node #0,2 Current State: 54:[23, 69, 51], Operations: ['85-34=51'] Exploring Operation: 69/23=3, Resulting Numbers: [51, 3] Generated Node #0,2,2: 54:[51, 3] Operation: 69/23=3 Moving to Node #0,2,2 Current State: 54:[51, 3], Operations: ['85-34=51', '69/23=3'] Exploring Operation: 51+3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_4
sum_heuristic
[ 58, 35, 51, 50 ]
22
[ "58-35=23", "51-50=1", "23-1=22" ]
Current State: 22:[58, 35, 51, 50], Operations: [] Exploring Operation: 58-35=23, Resulting Numbers: [51, 50, 23] Generated Node #2: [51, 50, 23] from Operation: 58-35=23 Current State: 22:[51, 50, 23], Operations: ['58-35=23'] Exploring Operation: 51-50=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 51-50=1 Current State: 22:[23, 1], Operations: ['58-35=23', '51-50=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[58, 35, 51, 50], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [35, 51, 8] Generated Node #0,0: 22:[35, 51, 8] Operation: 58-50=8 Exploring Operation: 58-51=7, Resulting Numbers: [35, 50, 7] Generated Node #0,1: 22:[35, 50, 7] Operation: 58-51=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 22:[35, 51, 8], Operations: ['58-50=8'] Exploring Operation: 35-8=27, Resulting Numbers: [51, 27] Generated Node #0,0,0: 22:[51, 27] Operation: 35-8=27 Exploring Operation: 51-35=16, Resulting Numbers: [8, 16] Generated Node #0,0,1: 22:[8, 16] Operation: 51-35=16 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 22:[8, 16], Operations: ['58-50=8', '51-35=16'] Exploring Operation: 8+16=24, Resulting Numbers: [24] 24,22 unequal: No Solution Exploring Operation: 16/8=2, Resulting Numbers: [2] 2,22 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 22:[51, 27], Operations: ['58-50=8', '35-8=27'] Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,22 unequal: No Solution Exploring Operation: 51+27=78, Resulting Numbers: [78] 78,22 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 22:[35, 50, 7], Operations: ['58-51=7'] Exploring Operation: 35/7=5, Resulting Numbers: [50, 5] Generated Node #0,1,0: 22:[50, 5] Operation: 35/7=5 Exploring Operation: 50-35=15, Resulting Numbers: [7, 15] Generated Node #0,1,1: 22:[7, 15] Operation: 50-35=15 Moving to Node #0,1,1 Current State: 22:[7, 15], Operations: ['58-51=7', '50-35=15'] Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[58, 35, 51, 50], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [35, 50, 7] Generated Node #0,1: 22:[35, 50, 7] Operation: 58-51=7 Moving to Node #0,1 Current State: 22:[35, 50, 7], Operations: ['58-51=7'] Exploring Operation: 50-35=15, Resulting Numbers: [7, 15] Generated Node #0,1,1: 22:[7, 15] Operation: 50-35=15 Moving to Node #0,1,1 Current State: 22:[7, 15], Operations: ['58-51=7', '50-35=15'] Exploring Operation: 7+15=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
sum_heuristic
[ 8, 92, 93, 73 ]
59
[ "92-73=19", "8*19=152", "152-93=59" ]
Current State: 59:[8, 92, 93, 73], Operations: [] Exploring Operation: 92-73=19, Resulting Numbers: [8, 93, 19] Generated Node #2: [8, 93, 19] from Operation: 92-73=19 Current State: 59:[8, 93, 19], Operations: ['92-73=19'] Exploring Operation: 8*19=152, Resulting Numbers: [93, 152] Generated Node #3: [93, 152] from Operation: 8*19=152 Current State: 59:[93, 152], Operations: ['92-73=19', '8*19=152'] Exploring Operation: 152-93=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[8, 92, 93, 73], Operations: [] Exploring Operation: 8+93=101, Resulting Numbers: [92, 73, 101] Generated Node #0,0: 59:[92, 73, 101] Operation: 8+93=101 Exploring Operation: 93-8=85, Resulting Numbers: [92, 73, 85] Generated Node #0,1: 59:[92, 73, 85] Operation: 93-8=85 Exploring Operation: 92-8=84, Resulting Numbers: [93, 73, 84] Generated Node #0,2: 59:[93, 73, 84] Operation: 92-8=84 Exploring Operation: 73-8=65, Resulting Numbers: [92, 93, 65] Generated Node #0,3: 59:[92, 93, 65] Operation: 73-8=65 Exploring Operation: 8+92=100, Resulting Numbers: [93, 73, 100] Generated Node #0,4: 59:[93, 73, 100] Operation: 8+92=100 Moving to Node #0,1 Current State: 59:[92, 73, 85], Operations: ['93-8=85'] Exploring Operation: 92+85=177, Resulting Numbers: [73, 177] Generated Node #0,1,0: 59:[73, 177] Operation: 92+85=177 Exploring Operation: 92+73=165, Resulting Numbers: [85, 165] Generated Node #0,1,1: 59:[85, 165] Operation: 92+73=165 Exploring Operation: 92-73=19, Resulting Numbers: [85, 19] Generated Node #0,1,2: 59:[85, 19] Operation: 92-73=19 Exploring Operation: 92-85=7, Resulting Numbers: [73, 7] Generated Node #0,1,3: 59:[73, 7] Operation: 92-85=7 Exploring Operation: 85-73=12, Resulting Numbers: [92, 12] Generated Node #0,1,4: 59:[92, 12] Operation: 85-73=12 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 59:[85, 19], Operations: ['93-8=85', '92-73=19'] Exploring Operation: 85+19=104, Resulting Numbers: [104] 104,59 unequal: No Solution Exploring Operation: 85*19=1615, Resulting Numbers: [1615] 1615,59 unequal: No Solution Exploring Operation: 85-19=66, Resulting Numbers: [66] 66,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 59:[73, 7], Operations: ['93-8=85', '92-85=7'] Exploring Operation: 73*7=511, Resulting Numbers: [511] 511,59 unequal: No Solution Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,59 unequal: No Solution Exploring Operation: 73+7=80, Resulting Numbers: [80] 80,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 59:[92, 12], Operations: ['93-8=85', '85-73=12'] Exploring Operation: 92*12=1104, Resulting Numbers: [1104] 1104,59 unequal: No Solution Exploring Operation: 92+12=104, Resulting Numbers: [104] 104,59 unequal: No Solution Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 59:[73, 177], Operations: ['93-8=85', '92+85=177'] Exploring Operation: 73+177=250, Resulting Numbers: [250] 250,59 unequal: No Solution Exploring Operation: 73*177=12921, Resulting Numbers: [12921] 12921,59 unequal: No Solution Exploring Operation: 177-73=104, Resulting Numbers: [104] 104,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 59:[85, 165], Operations: ['93-8=85', '92+73=165'] Exploring Operation: 85+165=250, Resulting Numbers: [250] 250,59 unequal: No Solution Exploring Operation: 165-85=80, Resulting Numbers: [80] 80,59 unequal: No Solution Exploring Operation: 85*165=14025, Resulting Numbers: [14025] 14025,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 59:[92, 93, 65], Operations: ['73-8=65'] Exploring Operation: 92+65=157, Resulting Numbers: [93, 157] Generated Node #0,3,0: 59:[93, 157] Operation: 92+65=157 Exploring Operation: 93-92=1, Resulting Numbers: [65, 1] Generated Node #0,3,1: 59:[65, 1] Operation: 93-92=1 Exploring Operation: 92-65=27, Resulting Numbers: [93, 27] Generated Node #0,3,2: 59:[93, 27] Operation: 92-65=27 Exploring Operation: 93-65=28, Resulting Numbers: [92, 28] Generated Node #0,3,3: 59:[92, 28] Operation: 93-65=28 Exploring Operation: 92+93=185, Resulting Numbers: [65, 185] Generated Node #0,3,4: 59:[65, 185] Operation: 92+93=185 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 59:[65, 1], Operations: ['73-8=65', '93-92=1'] Exploring Operation: 65*1=65, Resulting Numbers: [65] 65,59 unequal: No Solution Exploring Operation: 65-1=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 65/1=65, Resulting Numbers: [65] 65,59 unequal: No Solution Exploring Operation: 65+1=66, Resulting Numbers: [66] 66,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 59:[92, 28], Operations: ['73-8=65', '93-65=28'] Exploring Operation: 92-28=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 92+28=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 92*28=2576, Resulting Numbers: [2576] 2576,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 59:[93, 27], Operations: ['73-8=65', '92-65=27'] Exploring Operation: 93+27=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 93-27=66, Resulting Numbers: [66] 66,59 unequal: No Solution Exploring Operation: 93*27=2511, Resulting Numbers: [2511] 2511,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 59:[93, 157], Operations: ['73-8=65', '92+65=157'] Exploring Operation: 157-93=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 93+157=250, Resulting Numbers: [250] 250,59 unequal: No Solution Exploring Operation: 93*157=14601, Resulting Numbers: [14601] 14601,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 59:[65, 185], Operations: ['73-8=65', '92+93=185'] Exploring Operation: 65+185=250, Resulting Numbers: [250] 250,59 unequal: No Solution Exploring Operation: 185-65=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 65*185=12025, Resulting Numbers: [12025] 12025,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 59:[93, 73, 84], Operations: ['92-8=84'] Exploring Operation: 93-73=20, Resulting Numbers: [84, 20] Generated Node #0,2,0: 59:[84, 20] Operation: 93-73=20 Exploring Operation: 93+84=177, Resulting Numbers: [73, 177] Generated Node #0,2,1: 59:[73, 177] Operation: 93+84=177 Exploring Operation: 84-73=11, Resulting Numbers: [93, 11] Generated Node #0,2,2: 59:[93, 11] Operation: 84-73=11 Exploring Operation: 93-84=9, Resulting Numbers: [73, 9] Generated Node #0,2,3: 59:[73, 9] Operation: 93-84=9 Exploring Operation: 93+73=166, Resulting Numbers: [84, 166] Generated Node #0,2,4: 59:[84, 166] Operation: 93+73=166 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 59:[84, 20], Operations: ['92-8=84', '93-73=20'] Exploring Operation: 84+20=104, Resulting Numbers: [104] 104,59 unequal: No Solution Exploring Operation: 84*20=1680, Resulting Numbers: [1680] 1680,59 unequal: No Solution Exploring Operation: 84-20=64, Resulting Numbers: [64] 64,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 59:[73, 9], Operations: ['92-8=84', '93-84=9'] Exploring Operation: 73*9=657, Resulting Numbers: [657] 657,59 unequal: No Solution Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 59:[93, 11], Operations: ['92-8=84', '84-73=11'] Exploring Operation: 93-11=82, Resulting Numbers: [82] 82,59 unequal: No Solution Exploring Operation: 93*11=1023, Resulting Numbers: [1023] 1023,59 unequal: No Solution Exploring Operation: 93+11=104, Resulting Numbers: [104] 104,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 59:[73, 177], Operations: ['92-8=84', '93+84=177'] Exploring Operation: 73+177=250, Resulting Numbers: [250] 250,59 unequal: No Solution Exploring Operation: 177-73=104, Resulting Numbers: [104] 104,59 unequal: No Solution Exploring Operation: 73*177=12921, Resulting Numbers: [12921] 12921,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 59:[84, 166], Operations: ['92-8=84', '93+73=166'] Exploring Operation: 166-84=82, Resulting Numbers: [82] 82,59 unequal: No Solution Exploring Operation: 84*166=13944, Resulting Numbers: [13944] 13944,59 unequal: No Solution Exploring Operation: 84+166=250, Resulting Numbers: [250] 250,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 59:[92, 73, 101], Operations: ['8+93=101'] Exploring Operation: 92+73=165, Resulting Numbers: [101, 165] Generated Node #0,0,0: 59:[101, 165] Operation: 92+73=165 Exploring Operation: 101-92=9, Resulting Numbers: [73, 9] Generated Node #0,0,1: 59:[73, 9] Operation: 101-92=9 Exploring Operation: 101-73=28, Resulting Numbers: [92, 28] Generated Node #0,0,2: 59:[92, 28] Operation: 101-73=28 Exploring Operation: 92-73=19, Resulting Numbers: [101, 19] Generated Node #0,0,3: 59:[101, 19] Operation: 92-73=19 Exploring Operation: 92+101=193, Resulting Numbers: [73, 193] Generated Node #0,0,4: 59:[73, 193] Operation: 92+101=193 Moving to Node #0,4 Current State: 59:[93, 73, 100], Operations: ['8+92=100'] Exploring Operation: 93+100=193, Resulting Numbers: [73, 193] Generated Node #0,4,0: 59:[73, 193] Operation: 93+100=193 Exploring Operation: 93+73=166, Resulting Numbers: [100, 166] Generated Node #0,4,1: 59:[100, 166] Operation: 93+73=166 Exploring Operation: 100-73=27, Resulting Numbers: [93, 27] Generated Node #0,4,2: 59:[93, 27] Operation: 100-73=27 Exploring Operation: 93-73=20, Resulting Numbers: [100, 20] Generated Node #0,4,3: 59:[100, 20] Operation: 93-73=20 Exploring Operation: 100-93=7, Resulting Numbers: [73, 7] Generated Node #0,4,4: 59:[73, 7] Operation: 100-93=7 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 59:[93, 27], Operations: ['8+92=100', '100-73=27'] Exploring Operation: 93+27=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 93-27=66, Resulting Numbers: [66] 66,59 unequal: No Solution Exploring Operation: 93*27=2511, Resulting Numbers: [2511] 2511,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 59:[73, 7], Operations: ['8+92=100', '100-93=7'] Exploring Operation: 73+7=80, Resulting Numbers: [80] 80,59 unequal: No Solution Exploring Operation: 73*7=511, Resulting Numbers: [511] 511,59 unequal: No Solution Exploring Operation: 73-7=66, Resulting Numbers: [66] 66,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 59:[100, 20], Operations: ['8+92=100', '93-73=20'] Exploring Operation: 100/20=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 100+20=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 100*20=2000, Resulting Numbers: [2000] 2000,59 unequal: No Solution Exploring Operation: 100-20=80, Resulting Numbers: [80] 80,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 59:[73, 193], Operations: ['8+92=100', '93+100=193'] Exploring Operation: 73+193=266, Resulting Numbers: [266] 266,59 unequal: No Solution Exploring Operation: 193-73=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 73*193=14089, Resulting Numbers: [14089] 14089,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 59:[100, 166], Operations: ['8+92=100', '93+73=166'] Exploring Operation: 100*166=16600, Resulting Numbers: [16600] 16600,59 unequal: No Solution Exploring Operation: 100+166=266, Resulting Numbers: [266] 266,59 unequal: No Solution Exploring Operation: 166-100=66, Resulting Numbers: [66] 66,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 59:[73, 9], Operations: ['8+93=101', '101-92=9'] Exploring Operation: 73*9=657, Resulting Numbers: [657] 657,59 unequal: No Solution Exploring Operation: 73-9=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 73+9=82, Resulting Numbers: [82] 82,59 unequal: No Solution Moving to Node #0,0,2 Current State: 59:[92, 28], Operations: ['8+93=101', '101-73=28'] Exploring Operation: 92+28=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 92-28=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 92*28=2576, Resulting Numbers: [2576] 2576,59 unequal: No Solution Moving to Node #0,0,3 Current State: 59:[101, 19], Operations: ['8+93=101', '92-73=19'] Exploring Operation: 101*19=1919, Resulting Numbers: [1919] 1919,59 unequal: No Solution Exploring Operation: 101+19=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 101-19=82, Resulting Numbers: [82] 82,59 unequal: No Solution Moving to Node #0,0,0 Current State: 59:[101, 165], Operations: ['8+93=101', '92+73=165'] Exploring Operation: 165-101=64, Resulting Numbers: [64] 64,59 unequal: No Solution Exploring Operation: 101*165=16665, Resulting Numbers: [16665] 16665,59 unequal: No Solution Exploring Operation: 101+165=266, Resulting Numbers: [266] 266,59 unequal: No Solution Moving to Node #0,0,4 Current State: 59:[73, 193], Operations: ['8+93=101', '92+101=193'] Exploring Operation: 193-73=120, Resulting Numbers: [120] 120,59 unequal: No Solution Exploring Operation: 73+193=266, Resulting Numbers: [266] 266,59 unequal: No Solution Exploring Operation: 73*193=14089, Resulting Numbers: [14089] 14089,59 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 4, 18, 67, 95 ]
44
[ "4*18=72", "95-67=28", "72-28=44" ]
Current State: 44:[4, 18, 67, 95], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [67, 95, 72] Generated Node #2: [67, 95, 72] from Operation: 4*18=72 Current State: 44:[67, 95, 72], Operations: ['4*18=72'] Exploring Operation: 95-67=28, Resulting Numbers: [72, 28] Generated Node #3: [72, 28] from Operation: 95-67=28 Current State: 44:[72, 28], Operations: ['4*18=72', '95-67=28'] Exploring Operation: 72-28=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[4, 18, 67, 95], Operations: [] Exploring Operation: 67-18=49, Resulting Numbers: [4, 95, 49] Generated Node #0,0: 44:[4, 95, 49] Operation: 67-18=49 Exploring Operation: 95-67=28, Resulting Numbers: [4, 18, 28] Generated Node #0,1: 44:[4, 18, 28] Operation: 95-67=28 Start Sub Search at level 1: Moving to Node #0,1 Current State: 44:[4, 18, 28], Operations: ['95-67=28'] Exploring Operation: 28-18=10, Resulting Numbers: [4, 10] Generated Node #0,1,0: 44:[4, 10] Operation: 28-18=10 Exploring Operation: 18+28=46, Resulting Numbers: [4, 46] Generated Node #0,1,1: 44:[4, 46] Operation: 18+28=46 Moving to Node #0,1,0 Current State: 44:[4, 10], Operations: ['95-67=28', '28-18=10'] Exploring Operation: 10-4=6, Resulting Numbers: [6] 6,44 unequal: No Solution Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,44 unequal: No Solution Moving to Node #0,1,1 Current State: 44:[4, 46], Operations: ['95-67=28', '18+28=46'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,44 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 44:[4, 95, 49], Operations: ['67-18=49'] Exploring Operation: 95-49=46, Resulting Numbers: [4, 46] Generated Node #0,0,0: 44:[4, 46] Operation: 95-49=46 Exploring Operation: 95-4=91, Resulting Numbers: [49, 91] Generated Node #0,0,1: 44:[49, 91] Operation: 95-4=91 Moving to Node #0,0,0 Current State: 44:[4, 46], Operations: ['67-18=49', '95-49=46'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,44 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,44 unequal: No Solution Moving to Node #0,0,1 Current State: 44:[49, 91], Operations: ['67-18=49', '95-4=91'] Exploring Operation: 91-49=42, Resulting Numbers: [42] 42,44 unequal: No Solution Exploring Operation: 49+91=140, Resulting Numbers: [140] 140,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 5, 93, 82, 16 ]
71
[ "93-82=11", "5*11=55", "16+55=71" ]
Current State: 71:[5, 93, 82, 16], Operations: [] Exploring Operation: 93-82=11, Resulting Numbers: [5, 16, 11] Generated Node #2: [5, 16, 11] from Operation: 93-82=11 Current State: 71:[5, 16, 11], Operations: ['93-82=11'] Exploring Operation: 5*11=55, Resulting Numbers: [16, 55] Generated Node #3: [16, 55] from Operation: 5*11=55 Current State: 71:[16, 55], Operations: ['93-82=11', '5*11=55'] Exploring Operation: 16+55=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[5, 93, 82, 16], Operations: [] Exploring Operation: 5+16=21, Resulting Numbers: [93, 82, 21] Generated Node #0,0: 71:[93, 82, 21] Operation: 5+16=21 Exploring Operation: 93-5=88, Resulting Numbers: [82, 16, 88] Generated Node #0,1: 71:[82, 16, 88] Operation: 93-5=88 Exploring Operation: 93-16=77, Resulting Numbers: [5, 82, 77] Generated Node #0,2: 71:[5, 82, 77] Operation: 93-16=77 Exploring Operation: 82-5=77, Resulting Numbers: [93, 16, 77] Generated Node #0,3: 71:[93, 16, 77] Operation: 82-5=77 Exploring Operation: 5*16=80, Resulting Numbers: [93, 82, 80] Generated Node #0,4: 71:[93, 82, 80] Operation: 5*16=80 Moving to Node #0,4 Current State: 71:[93, 82, 80], Operations: ['5*16=80'] Exploring Operation: 93+80=173, Resulting Numbers: [82, 173] Generated Node #0,4,0: 71:[82, 173] Operation: 93+80=173 Exploring Operation: 93-80=13, Resulting Numbers: [82, 13] Generated Node #0,4,1: 71:[82, 13] Operation: 93-80=13 Exploring Operation: 82-80=2, Resulting Numbers: [93, 2] Generated Node #0,4,2: 71:[93, 2] Operation: 82-80=2 Exploring Operation: 93-82=11, Resulting Numbers: [80, 11] Generated Node #0,4,3: 71:[80, 11] Operation: 93-82=11 Exploring Operation: 93+82=175, Resulting Numbers: [80, 175] Generated Node #0,4,4: 71:[80, 175] Operation: 93+82=175 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 71:[82, 13], Operations: ['5*16=80', '93-80=13'] Exploring Operation: 82+13=95, Resulting Numbers: [95] 95,71 unequal: No Solution Exploring Operation: 82*13=1066, Resulting Numbers: [1066] 1066,71 unequal: No Solution Exploring Operation: 82-13=69, Resulting Numbers: [69] 69,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 71:[80, 11], Operations: ['5*16=80', '93-82=11'] Exploring Operation: 80*11=880, Resulting Numbers: [880] 880,71 unequal: No Solution Exploring Operation: 80+11=91, Resulting Numbers: [91] 91,71 unequal: No Solution Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 71:[93, 2], Operations: ['5*16=80', '82-80=2'] Exploring Operation: 93*2=186, Resulting Numbers: [186] 186,71 unequal: No Solution Exploring Operation: 93+2=95, Resulting Numbers: [95] 95,71 unequal: No Solution Exploring Operation: 93-2=91, Resulting Numbers: [91] 91,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 71:[82, 173], Operations: ['5*16=80', '93+80=173'] Exploring Operation: 82*173=14186, Resulting Numbers: [14186] 14186,71 unequal: No Solution Exploring Operation: 82+173=255, Resulting Numbers: [255] 255,71 unequal: No Solution Exploring Operation: 173-82=91, Resulting Numbers: [91] 91,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 71:[80, 175], Operations: ['5*16=80', '93+82=175'] Exploring Operation: 80*175=14000, Resulting Numbers: [14000] 14000,71 unequal: No Solution Exploring Operation: 175-80=95, Resulting Numbers: [95] 95,71 unequal: No Solution Exploring Operation: 80+175=255, Resulting Numbers: [255] 255,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 71:[82, 16, 88], Operations: ['93-5=88'] Exploring Operation: 16+88=104, Resulting Numbers: [82, 104] Generated Node #0,1,0: 71:[82, 104] Operation: 16+88=104 Exploring Operation: 82+16=98, Resulting Numbers: [88, 98] Generated Node #0,1,1: 71:[88, 98] Operation: 82+16=98 Exploring Operation: 82-16=66, Resulting Numbers: [88, 66] Generated Node #0,1,2: 71:[88, 66] Operation: 82-16=66 Exploring Operation: 88-82=6, Resulting Numbers: [16, 6] Generated Node #0,1,3: 71:[16, 6] Operation: 88-82=6 Exploring Operation: 88-16=72, Resulting Numbers: [82, 72] Generated Node #0,1,4: 71:[82, 72] Operation: 88-16=72 Moving to Node #0,3 Current State: 71:[93, 16, 77], Operations: ['82-5=77'] Exploring Operation: 93-16=77, Resulting Numbers: [77, 77] Generated Node #0,3,0: 71:[77, 77] Operation: 93-16=77 Exploring Operation: 93-77=16, Resulting Numbers: [16, 16] Generated Node #0,3,1: 71:[16, 16] Operation: 93-77=16 Exploring Operation: 16+77=93, Resulting Numbers: [93, 93] Generated Node #0,3,2: 71:[93, 93] Operation: 16+77=93 Exploring Operation: 77-16=61, Resulting Numbers: [93, 61] Generated Node #0,3,3: 71:[93, 61] Operation: 77-16=61 Exploring Operation: 93+16=109, Resulting Numbers: [77, 109] Generated Node #0,3,4: 71:[77, 109] Operation: 93+16=109 Moving to Node #0,0 Current State: 71:[93, 82, 21], Operations: ['5+16=21'] Exploring Operation: 93-21=72, Resulting Numbers: [82, 72] Generated Node #0,0,0: 71:[82, 72] Operation: 93-21=72 Exploring Operation: 93+21=114, Resulting Numbers: [82, 114] Generated Node #0,0,1: 71:[82, 114] Operation: 93+21=114 Exploring Operation: 93-82=11, Resulting Numbers: [21, 11] Generated Node #0,0,2: 71:[21, 11] Operation: 93-82=11 Exploring Operation: 82-21=61, Resulting Numbers: [93, 61] Generated Node #0,0,3: 71:[93, 61] Operation: 82-21=61 Exploring Operation: 82+21=103, Resulting Numbers: [93, 103] Generated Node #0,0,4: 71:[93, 103] Operation: 82+21=103 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 71:[82, 72], Operations: ['5+16=21', '93-21=72'] Exploring Operation: 82*72=5904, Resulting Numbers: [5904] 5904,71 unequal: No Solution Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 82+72=154, Resulting Numbers: [154] 154,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 71:[93, 61], Operations: ['5+16=21', '82-21=61'] Exploring Operation: 93+61=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,71 unequal: No Solution Exploring Operation: 93*61=5673, Resulting Numbers: [5673] 5673,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 71:[82, 114], Operations: ['5+16=21', '93+21=114'] Exploring Operation: 82*114=9348, Resulting Numbers: [9348] 9348,71 unequal: No Solution Exploring Operation: 82+114=196, Resulting Numbers: [196] 196,71 unequal: No Solution Exploring Operation: 114-82=32, Resulting Numbers: [32] 32,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 71:[93, 103], Operations: ['5+16=21', '82+21=103'] Exploring Operation: 103-93=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 93+103=196, Resulting Numbers: [196] 196,71 unequal: No Solution Exploring Operation: 93*103=9579, Resulting Numbers: [9579] 9579,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 71:[21, 11], Operations: ['5+16=21', '93-82=11'] Exploring Operation: 21*11=231, Resulting Numbers: [231] 231,71 unequal: No Solution Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 21+11=32, Resulting Numbers: [32] 32,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 71:[5, 82, 77], Operations: ['93-16=77'] Exploring Operation: 82-5=77, Resulting Numbers: [77, 77] Generated Node #0,2,0: 71:[77, 77] Operation: 82-5=77 Exploring Operation: 82-77=5, Resulting Numbers: [5, 5] Generated Node #0,2,1: 71:[5, 5] Operation: 82-77=5 Exploring Operation: 5+82=87, Resulting Numbers: [77, 87] Generated Node #0,2,2: 71:[77, 87] Operation: 5+82=87 Exploring Operation: 77-5=72, Resulting Numbers: [82, 72] Generated Node #0,2,3: 71:[82, 72] Operation: 77-5=72 Exploring Operation: 5+77=82, Resulting Numbers: [82, 82] Generated Node #0,2,4: 71:[82, 82] Operation: 5+77=82 Moving to Node #0,1,4 Current State: 71:[82, 72], Operations: ['93-5=88', '88-16=72'] Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 82+72=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 82*72=5904, Resulting Numbers: [5904] 5904,71 unequal: No Solution Moving to Node #0,3,0 Current State: 71:[77, 77], Operations: ['82-5=77', '93-16=77'] Exploring Operation: 77-77=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 77+77=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 77*77=5929, Resulting Numbers: [5929] 5929,71 unequal: No Solution Exploring Operation: 77/77=1, Resulting Numbers: [1] 1,71 unequal: No Solution Moving to Node #0,2,3 Current State: 71:[82, 72], Operations: ['93-16=77', '77-5=72'] Exploring Operation: 82*72=5904, Resulting Numbers: [5904] 5904,71 unequal: No Solution Exploring Operation: 82+72=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,71 unequal: No Solution Moving to Node #0,2,0 Current State: 71:[77, 77], Operations: ['93-16=77', '82-5=77'] Exploring Operation: 77/77=1, Resulting Numbers: [1] 1,71 unequal: No Solution Exploring Operation: 77-77=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 77+77=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 77*77=5929, Resulting Numbers: [5929] 5929,71 unequal: No Solution Moving to Node #0,2,4 Current State: 71:[82, 82], Operations: ['93-16=77', '5+77=82'] Exploring Operation: 82-82=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 82/82=1, Resulting Numbers: [1] 1,71 unequal: No Solution Exploring Operation: 82*82=6724, Resulting Numbers: [6724] 6724,71 unequal: No Solution Exploring Operation: 82+82=164, Resulting Numbers: [164] 164,71 unequal: No Solution Moving to Node #0,2,2 Current State: 71:[77, 87], Operations: ['93-16=77', '5+82=87'] Exploring Operation: 87-77=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 77+87=164, Resulting Numbers: [164] 164,71 unequal: No Solution Exploring Operation: 77*87=6699, Resulting Numbers: [6699] 6699,71 unequal: No Solution Moving to Node #0,1,2 Current State: 71:[88, 66], Operations: ['93-5=88', '82-16=66'] Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,71 unequal: No Solution Exploring Operation: 88+66=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 88*66=5808, Resulting Numbers: [5808] 5808,71 unequal: No Solution Moving to Node #0,3,3 Current State: 71:[93, 61], Operations: ['82-5=77', '77-16=61'] Exploring Operation: 93+61=154, Resulting Numbers: [154] 154,71 unequal: No Solution Exploring Operation: 93-61=32, Resulting Numbers: [32] 32,71 unequal: No Solution Exploring Operation: 93*61=5673, Resulting Numbers: [5673] 5673,71 unequal: No Solution Moving to Node #0,1,0 Current State: 71:[82, 104], Operations: ['93-5=88', '16+88=104'] Exploring Operation: 82+104=186, Resulting Numbers: [186] 186,71 unequal: No Solution Exploring Operation: 104-82=22, Resulting Numbers: [22] 22,71 unequal: No Solution Exploring Operation: 82*104=8528, Resulting Numbers: [8528] 8528,71 unequal: No Solution Moving to Node #0,3,2 Current State: 71:[93, 93], Operations: ['82-5=77', '16+77=93'] Exploring Operation: 93*93=8649, Resulting Numbers: [8649] 8649,71 unequal: No Solution Exploring Operation: 93-93=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 93/93=1, Resulting Numbers: [1] 1,71 unequal: No Solution Exploring Operation: 93+93=186, Resulting Numbers: [186] 186,71 unequal: No Solution Moving to Node #0,1,1 Current State: 71:[88, 98], Operations: ['93-5=88', '82+16=98'] Exploring Operation: 88+98=186, Resulting Numbers: [186] 186,71 unequal: No Solution Exploring Operation: 98-88=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 88*98=8624, Resulting Numbers: [8624] 8624,71 unequal: No Solution Moving to Node #0,3,4 Current State: 71:[77, 109], Operations: ['82-5=77', '93+16=109'] Exploring Operation: 109-77=32, Resulting Numbers: [32] 32,71 unequal: No Solution Exploring Operation: 77*109=8393, Resulting Numbers: [8393] 8393,71 unequal: No Solution Exploring Operation: 77+109=186, Resulting Numbers: [186] 186,71 unequal: No Solution Moving to Node #0,3,1 Current State: 71:[16, 16], Operations: ['82-5=77', '93-77=16'] Exploring Operation: 16*16=256, Resulting Numbers: [256] 256,71 unequal: No Solution Exploring Operation: 16-16=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 16/16=1, Resulting Numbers: [1] 1,71 unequal: No Solution Exploring Operation: 16+16=32, Resulting Numbers: [32] 32,71 unequal: No Solution Moving to Node #0,1,3 Current State: 71:[16, 6], Operations: ['93-5=88', '88-82=6'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,71 unequal: No Solution Exploring Operation: 16*6=96, Resulting Numbers: [96] 96,71 unequal: No Solution Moving to Node #0,2,1 Current State: 71:[5, 5], Operations: ['93-16=77', '82-77=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,71 unequal: No Solution Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,71 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,71 unequal: No Solution Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,71 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 40, 44, 37, 42 ]
30
[ "40-37=3", "42/3=14", "44-14=30" ]
Current State: 30:[40, 44, 37, 42], Operations: [] Exploring Operation: 40-37=3, Resulting Numbers: [44, 42, 3] Generated Node #2: [44, 42, 3] from Operation: 40-37=3 Current State: 30:[44, 42, 3], Operations: ['40-37=3'] Exploring Operation: 42/3=14, Resulting Numbers: [44, 14] Generated Node #3: [44, 14] from Operation: 42/3=14 Current State: 30:[44, 14], Operations: ['40-37=3', '42/3=14'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[40, 44, 37, 42], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [40, 37, 2] Generated Node #0,0: 30:[40, 37, 2] Operation: 44-42=2 Exploring Operation: 44-37=7, Resulting Numbers: [40, 42, 7] Generated Node #0,1: 30:[40, 42, 7] Operation: 44-37=7 Exploring Operation: 42-37=5, Resulting Numbers: [40, 44, 5] Generated Node #0,2: 30:[40, 44, 5] Operation: 42-37=5 Exploring Operation: 42-40=2, Resulting Numbers: [44, 37, 2] Generated Node #0,3: 30:[44, 37, 2] Operation: 42-40=2 Exploring Operation: 44-40=4, Resulting Numbers: [37, 42, 4] Generated Node #0,4: 30:[37, 42, 4] Operation: 44-40=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 30:[40, 37, 2], Operations: ['44-42=2'] Exploring Operation: 40-2=38, Resulting Numbers: [37, 38] Generated Node #0,0,0: 30:[37, 38] Operation: 40-2=38 Exploring Operation: 40/2=20, Resulting Numbers: [37, 20] Generated Node #0,0,1: 30:[37, 20] Operation: 40/2=20 Exploring Operation: 37-2=35, Resulting Numbers: [40, 35] Generated Node #0,0,2: 30:[40, 35] Operation: 37-2=35 Exploring Operation: 40-37=3, Resulting Numbers: [2, 3] Generated Node #0,0,3: 30:[2, 3] Operation: 40-37=3 Exploring Operation: 40+2=42, Resulting Numbers: [37, 42] Generated Node #0,0,4: 30:[37, 42] Operation: 40+2=42 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 30:[2, 3], Operations: ['44-42=2', '40-37=3'] Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,30 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 30:[37, 20], Operations: ['44-42=2', '40/2=20'] Exploring Operation: 37*20=740, Resulting Numbers: [740] 740,30 unequal: No Solution Exploring Operation: 37+20=57, Resulting Numbers: [57] 57,30 unequal: No Solution Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 30:[37, 38], Operations: ['44-42=2', '40-2=38'] Exploring Operation: 37+38=75, Resulting Numbers: [75] 75,30 unequal: No Solution Exploring Operation: 37*38=1406, Resulting Numbers: [1406] 1406,30 unequal: No Solution Exploring Operation: 38-37=1, Resulting Numbers: [1] 1,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 30:[40, 35], Operations: ['44-42=2', '37-2=35'] Exploring Operation: 40*35=1400, Resulting Numbers: [1400] 1400,30 unequal: No Solution Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,30 unequal: No Solution Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 30:[37, 42], Operations: ['44-42=2', '40+2=42'] Exploring Operation: 37+42=79, Resulting Numbers: [79] 79,30 unequal: No Solution Exploring Operation: 37*42=1554, Resulting Numbers: [1554] 1554,30 unequal: No Solution Exploring Operation: 42-37=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 30:[37, 42, 4], Operations: ['44-40=4'] Exploring Operation: 37+4=41, Resulting Numbers: [42, 41] Generated Node #0,4,0: 30:[42, 41] Operation: 37+4=41 Exploring Operation: 37-4=33, Resulting Numbers: [42, 33] Generated Node #0,4,1: 30:[42, 33] Operation: 37-4=33 Exploring Operation: 42+4=46, Resulting Numbers: [37, 46] Generated Node #0,4,2: 30:[37, 46] Operation: 42+4=46 Exploring Operation: 42-37=5, Resulting Numbers: [4, 5] Generated Node #0,4,3: 30:[4, 5] Operation: 42-37=5 Exploring Operation: 42-4=38, Resulting Numbers: [37, 38] Generated Node #0,4,4: 30:[37, 38] Operation: 42-4=38 Moving to Node #0,4,3 Current State: 30:[4, 5], Operations: ['44-40=4', '42-37=5'] Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,30 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,30 unequal: No Solution Moving to Node #0,4,4 Current State: 30:[37, 38], Operations: ['44-40=4', '42-4=38'] Exploring Operation: 38-37=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 37+38=75, Resulting Numbers: [75] 75,30 unequal: No Solution Exploring Operation: 37*38=1406, Resulting Numbers: [1406] 1406,30 unequal: No Solution Moving to Node #0,4,1 Current State: 30:[42, 33], Operations: ['44-40=4', '37-4=33'] Exploring Operation: 42*33=1386, Resulting Numbers: [1386] 1386,30 unequal: No Solution Exploring Operation: 42+33=75, Resulting Numbers: [75] 75,30 unequal: No Solution Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,30 unequal: No Solution Moving to Node #0,4,0 Current State: 30:[42, 41], Operations: ['44-40=4', '37+4=41'] Exploring Operation: 42*41=1722, Resulting Numbers: [1722] 1722,30 unequal: No Solution Exploring Operation: 42-41=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 42+41=83, Resulting Numbers: [83] 83,30 unequal: No Solution Moving to Node #0,4,2 Current State: 30:[37, 46], Operations: ['44-40=4', '42+4=46'] Exploring Operation: 46-37=9, Resulting Numbers: [9] 9,30 unequal: No Solution Exploring Operation: 37+46=83, Resulting Numbers: [83] 83,30 unequal: No Solution Exploring Operation: 37*46=1702, Resulting Numbers: [1702] 1702,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 30:[44, 37, 2], Operations: ['42-40=2'] Exploring Operation: 44+2=46, Resulting Numbers: [37, 46] Generated Node #0,3,0: 30:[37, 46] Operation: 44+2=46 Exploring Operation: 44/2=22, Resulting Numbers: [37, 22] Generated Node #0,3,1: 30:[37, 22] Operation: 44/2=22 Exploring Operation: 44-37=7, Resulting Numbers: [2, 7] Generated Node #0,3,2: 30:[2, 7] Operation: 44-37=7 Exploring Operation: 37-2=35, Resulting Numbers: [44, 35] Generated Node #0,3,3: 30:[44, 35] Operation: 37-2=35 Exploring Operation: 44-2=42, Resulting Numbers: [37, 42] Generated Node #0,3,4: 30:[37, 42] Operation: 44-2=42 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 30:[2, 7], Operations: ['42-40=2', '44-37=7'] Exploring Operation: 2*7=14, Resulting Numbers: [14] 14,30 unequal: No Solution Exploring Operation: 2+7=9, Resulting Numbers: [9] 9,30 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 30:[37, 22], Operations: ['42-40=2', '44/2=22'] Exploring Operation: 37*22=814, Resulting Numbers: [814] 814,30 unequal: No Solution Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,30 unequal: No Solution Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 30:[44, 35], Operations: ['42-40=2', '37-2=35'] Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,30 unequal: No Solution Exploring Operation: 44*35=1540, Resulting Numbers: [1540] 1540,30 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 30:[37, 42], Operations: ['42-40=2', '44-2=42'] Exploring Operation: 37*42=1554, Resulting Numbers: [1554] 1554,30 unequal: No Solution Exploring Operation: 37+42=79, Resulting Numbers: [79] 79,30 unequal: No Solution Exploring Operation: 42-37=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 30:[37, 46], Operations: ['42-40=2', '44+2=46'] Exploring Operation: 37+46=83, Resulting Numbers: [83] 83,30 unequal: No Solution Exploring Operation: 37*46=1702, Resulting Numbers: [1702] 1702,30 unequal: No Solution Exploring Operation: 46-37=9, Resulting Numbers: [9] 9,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 30:[40, 42, 7], Operations: ['44-37=7'] Exploring Operation: 42-40=2, Resulting Numbers: [7, 2] Generated Node #0,1,0: 30:[7, 2] Operation: 42-40=2 Exploring Operation: 42-7=35, Resulting Numbers: [40, 35] Generated Node #0,1,1: 30:[40, 35] Operation: 42-7=35 Exploring Operation: 40+7=47, Resulting Numbers: [42, 47] Generated Node #0,1,2: 30:[42, 47] Operation: 40+7=47 Exploring Operation: 40-7=33, Resulting Numbers: [42, 33] Generated Node #0,1,3: 30:[42, 33] Operation: 40-7=33 Exploring Operation: 42/7=6, Resulting Numbers: [40, 6] Generated Node #0,1,4: 30:[40, 6] Operation: 42/7=6 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 30:[7, 2], Operations: ['44-37=7', '42-40=2'] Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,30 unequal: No Solution Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,30 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 30:[40, 6], Operations: ['44-37=7', '42/7=6'] Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,30 unequal: No Solution Exploring Operation: 40+6=46, Resulting Numbers: [46] 46,30 unequal: No Solution Exploring Operation: 40*6=240, Resulting Numbers: [240] 240,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 30:[40, 35], Operations: ['44-37=7', '42-7=35'] Exploring Operation: 40*35=1400, Resulting Numbers: [1400] 1400,30 unequal: No Solution Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,30 unequal: No Solution Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 30:[42, 33], Operations: ['44-37=7', '40-7=33'] Exploring Operation: 42+33=75, Resulting Numbers: [75] 75,30 unequal: No Solution Exploring Operation: 42*33=1386, Resulting Numbers: [1386] 1386,30 unequal: No Solution Exploring Operation: 42-33=9, Resulting Numbers: [9] 9,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 30:[42, 47], Operations: ['44-37=7', '40+7=47'] Exploring Operation: 42+47=89, Resulting Numbers: [89] 89,30 unequal: No Solution Exploring Operation: 42*47=1974, Resulting Numbers: [1974] 1974,30 unequal: No Solution Exploring Operation: 47-42=5, Resulting Numbers: [5] 5,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 30:[40, 44, 5], Operations: ['42-37=5'] Exploring Operation: 44-5=39, Resulting Numbers: [40, 39] Generated Node #0,2,0: 30:[40, 39] Operation: 44-5=39 Exploring Operation: 40-5=35, Resulting Numbers: [44, 35] Generated Node #0,2,1: 30:[44, 35] Operation: 40-5=35 Exploring Operation: 44-40=4, Resulting Numbers: [5, 4] Generated Node #0,2,2: 30:[5, 4] Operation: 44-40=4 Exploring Operation: 40/5=8, Resulting Numbers: [44, 8] Generated Node #0,2,3: 30:[44, 8] Operation: 40/5=8 Exploring Operation: 40+5=45, Resulting Numbers: [44, 45] Generated Node #0,2,4: 30:[44, 45] Operation: 40+5=45 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 30:[5, 4], Operations: ['42-37=5', '44-40=4'] Exploring Operation: 5*4=20, Resulting Numbers: [20] 20,30 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 5+4=9, Resulting Numbers: [9] 9,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 30:[44, 8], Operations: ['42-37=5', '40/5=8'] Exploring Operation: 44-8=36, Resulting Numbers: [36] 36,30 unequal: No Solution Exploring Operation: 44+8=52, Resulting Numbers: [52] 52,30 unequal: No Solution Exploring Operation: 44*8=352, Resulting Numbers: [352] 352,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 30:[40, 39], Operations: ['42-37=5', '44-5=39'] Exploring Operation: 40+39=79, Resulting Numbers: [79] 79,30 unequal: No Solution Exploring Operation: 40-39=1, Resulting Numbers: [1] 1,30 unequal: No Solution Exploring Operation: 40*39=1560, Resulting Numbers: [1560] 1560,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 30:[44, 35], Operations: ['42-37=5', '40-5=35'] Exploring Operation: 44+35=79, Resulting Numbers: [79] 79,30 unequal: No Solution Exploring Operation: 44*35=1540, Resulting Numbers: [1540] 1540,30 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 30:[44, 45], Operations: ['42-37=5', '40+5=45'] Exploring Operation: 44*45=1980, Resulting Numbers: [1980] 1980,30 unequal: No Solution Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,30 unequal: No Solution Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,30 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 27, 39, 17, 82 ]
53
[ "39-27=12", "82-17=65", "65-12=53" ]
Current State: 53:[27, 39, 17, 82], Operations: [] Exploring Operation: 39-27=12, Resulting Numbers: [17, 82, 12] Generated Node #2: [17, 82, 12] from Operation: 39-27=12 Current State: 53:[17, 82, 12], Operations: ['39-27=12'] Exploring Operation: 82-17=65, Resulting Numbers: [12, 65] Generated Node #3: [12, 65] from Operation: 82-17=65 Current State: 53:[12, 65], Operations: ['39-27=12', '82-17=65'] Exploring Operation: 65-12=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[27, 39, 17, 82], Operations: [] Exploring Operation: 82-27=55, Resulting Numbers: [39, 17, 55] Generated Node #0,0: 53:[39, 17, 55] Operation: 82-27=55 Exploring Operation: 27+17=44, Resulting Numbers: [39, 82, 44] Generated Node #0,1: 53:[39, 82, 44] Operation: 27+17=44 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[39, 17, 55], Operations: ['82-27=55'] Exploring Operation: 39+17=56, Resulting Numbers: [55, 56] Generated Node #0,0,0: 53:[55, 56] Operation: 39+17=56 Exploring Operation: 55-17=38, Resulting Numbers: [39, 38] Generated Node #0,0,1: 53:[39, 38] Operation: 55-17=38 Moving to Node #0,0,0 Current State: 53:[55, 56], Operations: ['82-27=55', '39+17=56'] Exploring Operation: 56-55=1, Resulting Numbers: [1] 1,53 unequal: No Solution Exploring Operation: 55+56=111, Resulting Numbers: [111] 111,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[39, 38], Operations: ['82-27=55', '55-17=38'] Exploring Operation: 39+38=77, Resulting Numbers: [77] 77,53 unequal: No Solution Exploring Operation: 39-38=1, Resulting Numbers: [1] 1,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[39, 82, 44], Operations: ['27+17=44'] Exploring Operation: 82-39=43, Resulting Numbers: [44, 43] Generated Node #0,1,0: 53:[44, 43] Operation: 82-39=43 Exploring Operation: 82-44=38, Resulting Numbers: [39, 38] Generated Node #0,1,1: 53:[39, 38] Operation: 82-44=38 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 53:[44, 43], Operations: ['27+17=44', '82-39=43'] Exploring Operation: 44+43=87, Resulting Numbers: [87] 87,53 unequal: No Solution Exploring Operation: 44-43=1, Resulting Numbers: [1] 1,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 53:[39, 38], Operations: ['27+17=44', '82-44=38'] Exploring Operation: 39+38=77, Resulting Numbers: [77] 77,53 unequal: No Solution Exploring Operation: 39-38=1, Resulting Numbers: [1] 1,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 87, 35, 64, 51 ]
83
[ "51-35=16", "64/16=4", "87-4=83" ]
Current State: 83:[87, 35, 64, 51], Operations: [] Exploring Operation: 51-35=16, Resulting Numbers: [87, 64, 16] Generated Node #2: [87, 64, 16] from Operation: 51-35=16 Current State: 83:[87, 64, 16], Operations: ['51-35=16'] Exploring Operation: 64/16=4, Resulting Numbers: [87, 4] Generated Node #3: [87, 4] from Operation: 64/16=4 Current State: 83:[87, 4], Operations: ['51-35=16', '64/16=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[87, 35, 64, 51], Operations: [] Exploring Operation: 87-35=52, Resulting Numbers: [64, 51, 52] Generated Node #0,0: 83:[64, 51, 52] Operation: 87-35=52 Exploring Operation: 87+35=122, Resulting Numbers: [64, 51, 122] Generated Node #0,1: 83:[64, 51, 122] Operation: 87+35=122 Exploring Operation: 35+64=99, Resulting Numbers: [87, 51, 99] Generated Node #0,2: 83:[87, 51, 99] Operation: 35+64=99 Exploring Operation: 64+51=115, Resulting Numbers: [87, 35, 115] Generated Node #0,3: 83:[87, 35, 115] Operation: 64+51=115 Exploring Operation: 35+51=86, Resulting Numbers: [87, 64, 86] Generated Node #0,4: 83:[87, 64, 86] Operation: 35+51=86 Start Sub Search at level 1: Moving to Node #0,4 Current State: 83:[87, 64, 86], Operations: ['35+51=86'] Exploring Operation: 87-86=1, Resulting Numbers: [64, 1] Generated Node #0,4,0: 83:[64, 1] Operation: 87-86=1 Exploring Operation: 86-64=22, Resulting Numbers: [87, 22] Generated Node #0,4,1: 83:[87, 22] Operation: 86-64=22 Exploring Operation: 87+64=151, Resulting Numbers: [86, 151] Generated Node #0,4,2: 83:[86, 151] Operation: 87+64=151 Exploring Operation: 87-64=23, Resulting Numbers: [86, 23] Generated Node #0,4,3: 83:[86, 23] Operation: 87-64=23 Exploring Operation: 64+86=150, Resulting Numbers: [87, 150] Generated Node #0,4,4: 83:[87, 150] Operation: 64+86=150 Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 83:[86, 23], Operations: ['35+51=86', '87-64=23'] Exploring Operation: 86-23=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 86*23=1978, Resulting Numbers: [1978] 1978,83 unequal: No Solution Exploring Operation: 86+23=109, Resulting Numbers: [109] 109,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 83:[87, 22], Operations: ['35+51=86', '86-64=22'] Exploring Operation: 87+22=109, Resulting Numbers: [109] 109,83 unequal: No Solution Exploring Operation: 87-22=65, Resulting Numbers: [65] 65,83 unequal: No Solution Exploring Operation: 87*22=1914, Resulting Numbers: [1914] 1914,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 83:[86, 151], Operations: ['35+51=86', '87+64=151'] Exploring Operation: 86*151=12986, Resulting Numbers: [12986] 12986,83 unequal: No Solution Exploring Operation: 86+151=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 151-86=65, Resulting Numbers: [65] 65,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 83:[87, 150], Operations: ['35+51=86', '64+86=150'] Exploring Operation: 150-87=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 87+150=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 87*150=13050, Resulting Numbers: [13050] 13050,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 83:[64, 1], Operations: ['35+51=86', '87-86=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,83 unequal: No Solution Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,83 unequal: No Solution Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 83:[87, 51, 99], Operations: ['35+64=99'] Exploring Operation: 87+51=138, Resulting Numbers: [99, 138] Generated Node #0,2,0: 83:[99, 138] Operation: 87+51=138 Exploring Operation: 51+99=150, Resulting Numbers: [87, 150] Generated Node #0,2,1: 83:[87, 150] Operation: 51+99=150 Exploring Operation: 99-87=12, Resulting Numbers: [51, 12] Generated Node #0,2,2: 83:[51, 12] Operation: 99-87=12 Exploring Operation: 99-51=48, Resulting Numbers: [87, 48] Generated Node #0,2,3: 83:[87, 48] Operation: 99-51=48 Exploring Operation: 87-51=36, Resulting Numbers: [99, 36] Generated Node #0,2,4: 83:[99, 36] Operation: 87-51=36 Moving to Node #0,2,3 Current State: 83:[87, 48], Operations: ['35+64=99', '99-51=48'] Exploring Operation: 87+48=135, Resulting Numbers: [135] 135,83 unequal: No Solution Exploring Operation: 87-48=39, Resulting Numbers: [39] 39,83 unequal: No Solution Exploring Operation: 87*48=4176, Resulting Numbers: [4176] 4176,83 unequal: No Solution Moving to Node #0,2,4 Current State: 83:[99, 36], Operations: ['35+64=99', '87-51=36'] Exploring Operation: 99+36=135, Resulting Numbers: [135] 135,83 unequal: No Solution Exploring Operation: 99*36=3564, Resulting Numbers: [3564] 3564,83 unequal: No Solution Exploring Operation: 99-36=63, Resulting Numbers: [63] 63,83 unequal: No Solution Moving to Node #0,2,0 Current State: 83:[99, 138], Operations: ['35+64=99', '87+51=138'] Exploring Operation: 99*138=13662, Resulting Numbers: [13662] 13662,83 unequal: No Solution Exploring Operation: 138-99=39, Resulting Numbers: [39] 39,83 unequal: No Solution Exploring Operation: 99+138=237, Resulting Numbers: [237] 237,83 unequal: No Solution Moving to Node #0,2,1 Current State: 83:[87, 150], Operations: ['35+64=99', '51+99=150'] Exploring Operation: 87+150=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 87*150=13050, Resulting Numbers: [13050] 13050,83 unequal: No Solution Exploring Operation: 150-87=63, Resulting Numbers: [63] 63,83 unequal: No Solution Moving to Node #0,2,2 Current State: 83:[51, 12], Operations: ['35+64=99', '99-87=12'] Exploring Operation: 51*12=612, Resulting Numbers: [612] 612,83 unequal: No Solution Exploring Operation: 51+12=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[64, 51, 52], Operations: ['87-35=52'] Exploring Operation: 64+51=115, Resulting Numbers: [52, 115] Generated Node #0,0,0: 83:[52, 115] Operation: 64+51=115 Exploring Operation: 52-51=1, Resulting Numbers: [64, 1] Generated Node #0,0,1: 83:[64, 1] Operation: 52-51=1 Exploring Operation: 64-51=13, Resulting Numbers: [52, 13] Generated Node #0,0,2: 83:[52, 13] Operation: 64-51=13 Exploring Operation: 51+52=103, Resulting Numbers: [64, 103] Generated Node #0,0,3: 83:[64, 103] Operation: 51+52=103 Exploring Operation: 64+52=116, Resulting Numbers: [51, 116] Generated Node #0,0,4: 83:[51, 116] Operation: 64+52=116 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 83:[64, 103], Operations: ['87-35=52', '51+52=103'] Exploring Operation: 64+103=167, Resulting Numbers: [167] 167,83 unequal: No Solution Exploring Operation: 64*103=6592, Resulting Numbers: [6592] 6592,83 unequal: No Solution Exploring Operation: 103-64=39, Resulting Numbers: [39] 39,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[52, 115], Operations: ['87-35=52', '64+51=115'] Exploring Operation: 52+115=167, Resulting Numbers: [167] 167,83 unequal: No Solution Exploring Operation: 52*115=5980, Resulting Numbers: [5980] 5980,83 unequal: No Solution Exploring Operation: 115-52=63, Resulting Numbers: [63] 63,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 83:[51, 116], Operations: ['87-35=52', '64+52=116'] Exploring Operation: 51*116=5916, Resulting Numbers: [5916] 5916,83 unequal: No Solution Exploring Operation: 116-51=65, Resulting Numbers: [65] 65,83 unequal: No Solution Exploring Operation: 51+116=167, Resulting Numbers: [167] 167,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 83:[64, 1], Operations: ['87-35=52', '52-51=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 64/1=64, Resulting Numbers: [64] 64,83 unequal: No Solution Exploring Operation: 64*1=64, Resulting Numbers: [64] 64,83 unequal: No Solution Exploring Operation: 64+1=65, Resulting Numbers: [65] 65,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 83:[52, 13], Operations: ['87-35=52', '64-51=13'] Exploring Operation: 52*13=676, Resulting Numbers: [676] 676,83 unequal: No Solution Exploring Operation: 52+13=65, Resulting Numbers: [65] 65,83 unequal: No Solution Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,83 unequal: No Solution Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 83:[87, 35, 115], Operations: ['64+51=115'] Exploring Operation: 87-35=52, Resulting Numbers: [115, 52] Generated Node #0,3,0: 83:[115, 52] Operation: 87-35=52 Exploring Operation: 87+35=122, Resulting Numbers: [115, 122] Generated Node #0,3,1: 83:[115, 122] Operation: 87+35=122 Exploring Operation: 35+115=150, Resulting Numbers: [87, 150] Generated Node #0,3,2: 83:[87, 150] Operation: 35+115=150 Exploring Operation: 115-35=80, Resulting Numbers: [87, 80] Generated Node #0,3,3: 83:[87, 80] Operation: 115-35=80 Exploring Operation: 115-87=28, Resulting Numbers: [35, 28] Generated Node #0,3,4: 83:[35, 28] Operation: 115-87=28 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 83:[87, 80], Operations: ['64+51=115', '115-35=80'] Exploring Operation: 87*80=6960, Resulting Numbers: [6960] 6960,83 unequal: No Solution Exploring Operation: 87+80=167, Resulting Numbers: [167] 167,83 unequal: No Solution Exploring Operation: 87-80=7, Resulting Numbers: [7] 7,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 83:[115, 52], Operations: ['64+51=115', '87-35=52'] Exploring Operation: 115-52=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 115+52=167, Resulting Numbers: [167] 167,83 unequal: No Solution Exploring Operation: 115*52=5980, Resulting Numbers: [5980] 5980,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 83:[115, 122], Operations: ['64+51=115', '87+35=122'] Exploring Operation: 115+122=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 122-115=7, Resulting Numbers: [7] 7,83 unequal: No Solution Exploring Operation: 115*122=14030, Resulting Numbers: [14030] 14030,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 83:[87, 150], Operations: ['64+51=115', '35+115=150'] Exploring Operation: 150-87=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 87+150=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 87*150=13050, Resulting Numbers: [13050] 13050,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 83:[35, 28], Operations: ['64+51=115', '115-87=28'] Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,83 unequal: No Solution Exploring Operation: 35-28=7, Resulting Numbers: [7] 7,83 unequal: No Solution Exploring Operation: 35*28=980, Resulting Numbers: [980] 980,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 83:[64, 51, 122], Operations: ['87+35=122'] Exploring Operation: 64-51=13, Resulting Numbers: [122, 13] Generated Node #0,1,0: 83:[122, 13] Operation: 64-51=13 Exploring Operation: 51+122=173, Resulting Numbers: [64, 173] Generated Node #0,1,1: 83:[64, 173] Operation: 51+122=173 Exploring Operation: 122-51=71, Resulting Numbers: [64, 71] Generated Node #0,1,2: 83:[64, 71] Operation: 122-51=71 Exploring Operation: 64+51=115, Resulting Numbers: [122, 115] Generated Node #0,1,3: 83:[122, 115] Operation: 64+51=115 Exploring Operation: 122-64=58, Resulting Numbers: [51, 58] Generated Node #0,1,4: 83:[51, 58] Operation: 122-64=58 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 83:[64, 71], Operations: ['87+35=122', '122-51=71'] Exploring Operation: 64*71=4544, Resulting Numbers: [4544] 4544,83 unequal: No Solution Exploring Operation: 64+71=135, Resulting Numbers: [135] 135,83 unequal: No Solution Exploring Operation: 71-64=7, Resulting Numbers: [7] 7,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 83:[51, 58], Operations: ['87+35=122', '122-64=58'] Exploring Operation: 51*58=2958, Resulting Numbers: [2958] 2958,83 unequal: No Solution Exploring Operation: 58-51=7, Resulting Numbers: [7] 7,83 unequal: No Solution Exploring Operation: 51+58=109, Resulting Numbers: [109] 109,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 83:[122, 115], Operations: ['87+35=122', '64+51=115'] Exploring Operation: 122*115=14030, Resulting Numbers: [14030] 14030,83 unequal: No Solution Exploring Operation: 122-115=7, Resulting Numbers: [7] 7,83 unequal: No Solution Exploring Operation: 122+115=237, Resulting Numbers: [237] 237,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 83:[122, 13], Operations: ['87+35=122', '64-51=13'] Exploring Operation: 122-13=109, Resulting Numbers: [109] 109,83 unequal: No Solution Exploring Operation: 122*13=1586, Resulting Numbers: [1586] 1586,83 unequal: No Solution Exploring Operation: 122+13=135, Resulting Numbers: [135] 135,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 83:[64, 173], Operations: ['87+35=122', '51+122=173'] Exploring Operation: 64+173=237, Resulting Numbers: [237] 237,83 unequal: No Solution Exploring Operation: 173-64=109, Resulting Numbers: [109] 109,83 unequal: No Solution Exploring Operation: 64*173=11072, Resulting Numbers: [11072] 11072,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 46, 17, 8, 16 ]
53
[ "46-17=29", "8+16=24", "29+24=53" ]
Current State: 53:[46, 17, 8, 16], Operations: [] Exploring Operation: 46-17=29, Resulting Numbers: [8, 16, 29] Generated Node #2: [8, 16, 29] from Operation: 46-17=29 Current State: 53:[8, 16, 29], Operations: ['46-17=29'] Exploring Operation: 8+16=24, Resulting Numbers: [29, 24] Generated Node #3: [29, 24] from Operation: 8+16=24 Current State: 53:[29, 24], Operations: ['46-17=29', '8+16=24'] Exploring Operation: 29+24=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[46, 17, 8, 16], Operations: [] Exploring Operation: 17+8=25, Resulting Numbers: [46, 16, 25] Generated Node #0,0: 53:[46, 16, 25] Operation: 17+8=25 Exploring Operation: 17+16=33, Resulting Numbers: [46, 8, 33] Generated Node #0,1: 53:[46, 8, 33] Operation: 17+16=33 Moving to Node #0,0 Current State: 53:[46, 16, 25], Operations: ['17+8=25'] Exploring Operation: 16+25=41, Resulting Numbers: [46, 41] Generated Node #0,0,0: 53:[46, 41] Operation: 16+25=41 Exploring Operation: 46+16=62, Resulting Numbers: [25, 62] Generated Node #0,0,1: 53:[25, 62] Operation: 46+16=62 Moving to Node #0,1 Current State: 53:[46, 8, 33], Operations: ['17+16=33'] Exploring Operation: 46+8=54, Resulting Numbers: [33, 54] Generated Node #0,1,0: 53:[33, 54] Operation: 46+8=54 Exploring Operation: 8+33=41, Resulting Numbers: [46, 41] Generated Node #0,1,1: 53:[46, 41] Operation: 8+33=41 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 53:[46, 41], Operations: ['17+16=33', '8+33=41'] Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,53 unequal: No Solution Exploring Operation: 46+41=87, Resulting Numbers: [87] 87,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 53:[33, 54], Operations: ['17+16=33', '46+8=54'] Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,53 unequal: No Solution Exploring Operation: 33+54=87, Resulting Numbers: [87] 87,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 53:[46, 41], Operations: ['17+8=25', '16+25=41'] Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,53 unequal: No Solution Exploring Operation: 46+41=87, Resulting Numbers: [87] 87,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[25, 62], Operations: ['17+8=25', '46+16=62'] Exploring Operation: 25+62=87, Resulting Numbers: [87] 87,53 unequal: No Solution Exploring Operation: 62-25=37, Resulting Numbers: [37] 37,53 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 67, 57, 98, 5 ]
98
[ "98-67=31", "5*31=155", "155-57=98" ]
Current State: 98:[67, 57, 98, 5], Operations: [] Exploring Operation: 98-67=31, Resulting Numbers: [57, 5, 31] Generated Node #2: [57, 5, 31] from Operation: 98-67=31 Current State: 98:[57, 5, 31], Operations: ['98-67=31'] Exploring Operation: 5*31=155, Resulting Numbers: [57, 155] Generated Node #3: [57, 155] from Operation: 5*31=155 Current State: 98:[57, 155], Operations: ['98-67=31', '5*31=155'] Exploring Operation: 155-57=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[67, 57, 98, 5], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [98, 5, 10] Generated Node #0,0: 98:[98, 5, 10] Operation: 67-57=10 Moving to Node #0,0 Current State: 98:[98, 5, 10], Operations: ['67-57=10'] Exploring Operation: 10/5=2, Resulting Numbers: [98, 2] Generated Node #0,0,0: 98:[98, 2] Operation: 10/5=2 Moving to Node #0,0,0 Current State: 98:[98, 2], Operations: ['67-57=10', '10/5=2'] Exploring Operation: 98/2=49, Resulting Numbers: [49] 49,98 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 93, 96, 35, 99 ]
66
[ "99-96=3", "93/3=31", "35+31=66" ]
Current State: 66:[93, 96, 35, 99], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [93, 35, 3] Generated Node #2: [93, 35, 3] from Operation: 99-96=3 Current State: 66:[93, 35, 3], Operations: ['99-96=3'] Exploring Operation: 93/3=31, Resulting Numbers: [35, 31] Generated Node #3: [35, 31] from Operation: 93/3=31 Current State: 66:[35, 31], Operations: ['99-96=3', '93/3=31'] Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[93, 96, 35, 99], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [93, 35, 3] Generated Node #0,0: 66:[93, 35, 3] Operation: 99-96=3 Exploring Operation: 99-93=6, Resulting Numbers: [96, 35, 6] Generated Node #0,1: 66:[96, 35, 6] Operation: 99-93=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[93, 35, 3], Operations: ['99-96=3'] Exploring Operation: 93-35=58, Resulting Numbers: [3, 58] Generated Node #0,0,0: 66:[3, 58] Operation: 93-35=58 Exploring Operation: 93/3=31, Resulting Numbers: [35, 31] Generated Node #0,0,1: 66:[35, 31] Operation: 93/3=31 Moving to Node #0,0,1 Current State: 66:[35, 31], Operations: ['99-96=3', '93/3=31'] Exploring Operation: 35-31=4, Resulting Numbers: [4] 4,66 unequal: No Solution Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[93, 96, 35, 99], Operations: [] Exploring Operation: 99-96=3, Resulting Numbers: [93, 35, 3] Generated Node #0,0: 66:[93, 35, 3] Operation: 99-96=3 Moving to Node #0,0 Current State: 66:[93, 35, 3], Operations: ['99-96=3'] Exploring Operation: 93/3=31, Resulting Numbers: [35, 31] Generated Node #0,0,1: 66:[35, 31] Operation: 93/3=31 Moving to Node #0,0,1 Current State: 66:[35, 31], Operations: ['99-96=3', '93/3=31'] Exploring Operation: 35+31=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 2, 77, 80, 81 ]
39
[ "80-77=3", "81-3=78", "78/2=39" ]
Current State: 39:[2, 77, 80, 81], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [2, 81, 3] Generated Node #2: [2, 81, 3] from Operation: 80-77=3 Current State: 39:[2, 81, 3], Operations: ['80-77=3'] Exploring Operation: 81-3=78, Resulting Numbers: [2, 78] Generated Node #3: [2, 78] from Operation: 81-3=78 Current State: 39:[2, 78], Operations: ['80-77=3', '81-3=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[2, 77, 80, 81], Operations: [] Exploring Operation: 81-77=4, Resulting Numbers: [2, 80, 4] Generated Node #0,0: 39:[2, 80, 4] Operation: 81-77=4 Exploring Operation: 81-80=1, Resulting Numbers: [2, 77, 1] Generated Node #0,1: 39:[2, 77, 1] Operation: 81-80=1 Exploring Operation: 80-77=3, Resulting Numbers: [2, 81, 3] Generated Node #0,2: 39:[2, 81, 3] Operation: 80-77=3 Exploring Operation: 80/2=40, Resulting Numbers: [77, 81, 40] Generated Node #0,3: 39:[77, 81, 40] Operation: 80/2=40 Moving to Node #0,1 Current State: 39:[2, 77, 1], Operations: ['81-80=1'] Exploring Operation: 2*1=2, Resulting Numbers: [77, 2] Generated Node #0,1,0: 39:[77, 2] Operation: 2*1=2 Exploring Operation: 77-1=76, Resulting Numbers: [2, 76] Generated Node #0,1,1: 39:[2, 76] Operation: 77-1=76 Exploring Operation: 77-2=75, Resulting Numbers: [1, 75] Generated Node #0,1,2: 39:[1, 75] Operation: 77-2=75 Exploring Operation: 2+1=3, Resulting Numbers: [77, 3] Generated Node #0,1,3: 39:[77, 3] Operation: 2+1=3 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[2, 76], Operations: ['81-80=1', '77-1=76'] Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 2*76=152, Resulting Numbers: [152] 152,39 unequal: No Solution Exploring Operation: 2+76=78, Resulting Numbers: [78] 78,39 unequal: No Solution Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[1, 75], Operations: ['81-80=1', '77-2=75'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 1+75=76, Resulting Numbers: [76] 76,39 unequal: No Solution Exploring Operation: 75/1=75, Resulting Numbers: [75] 75,39 unequal: No Solution Exploring Operation: 1*75=75, Resulting Numbers: [75] 75,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 39:[77, 3], Operations: ['81-80=1', '2+1=3'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,39 unequal: No Solution Exploring Operation: 77*3=231, Resulting Numbers: [231] 231,39 unequal: No Solution Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[77, 2], Operations: ['81-80=1', '2*1=2'] Exploring Operation: 77*2=154, Resulting Numbers: [154] 154,39 unequal: No Solution Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,39 unequal: No Solution Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 39:[2, 81, 3], Operations: ['80-77=3'] Exploring Operation: 2+81=83, Resulting Numbers: [3, 83] Generated Node #0,2,0: 39:[3, 83] Operation: 2+81=83 Exploring Operation: 81-3=78, Resulting Numbers: [2, 78] Generated Node #0,2,1: 39:[2, 78] Operation: 81-3=78 Exploring Operation: 81/3=27, Resulting Numbers: [2, 27] Generated Node #0,2,2: 39:[2, 27] Operation: 81/3=27 Exploring Operation: 81-2=79, Resulting Numbers: [3, 79] Generated Node #0,2,3: 39:[3, 79] Operation: 81-2=79 Moving to Node #0,0 Current State: 39:[2, 80, 4], Operations: ['81-77=4'] Exploring Operation: 80/2=40, Resulting Numbers: [4, 40] Generated Node #0,0,0: 39:[4, 40] Operation: 80/2=40 Exploring Operation: 80/4=20, Resulting Numbers: [2, 20] Generated Node #0,0,1: 39:[2, 20] Operation: 80/4=20 Exploring Operation: 80-2=78, Resulting Numbers: [4, 78] Generated Node #0,0,2: 39:[4, 78] Operation: 80-2=78 Exploring Operation: 80-4=76, Resulting Numbers: [2, 76] Generated Node #0,0,3: 39:[2, 76] Operation: 80-4=76 Moving to Node #0,3 Current State: 39:[77, 81, 40], Operations: ['80/2=40'] Exploring Operation: 77+81=158, Resulting Numbers: [40, 158] Generated Node #0,3,0: 39:[40, 158] Operation: 77+81=158 Exploring Operation: 77-40=37, Resulting Numbers: [81, 37] Generated Node #0,3,1: 39:[81, 37] Operation: 77-40=37 Exploring Operation: 81-77=4, Resulting Numbers: [40, 4] Generated Node #0,3,2: 39:[40, 4] Operation: 81-77=4 Exploring Operation: 81-40=41, Resulting Numbers: [77, 41] Generated Node #0,3,3: 39:[77, 41] Operation: 81-40=41 Moving to Node #0,0,0 Current State: 39:[4, 40], Operations: ['81-77=4', '80/2=40'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,39 unequal: No Solution Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 4+40=44, Resulting Numbers: [44] 44,39 unequal: No Solution Exploring Operation: 4*40=160, Resulting Numbers: [160] 160,39 unequal: No Solution Moving to Node #0,3,2 Current State: 39:[40, 4], Operations: ['80/2=40', '81-77=4'] Exploring Operation: 40/4=10, Resulting Numbers: [10] 10,39 unequal: No Solution Exploring Operation: 40-4=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 40*4=160, Resulting Numbers: [160] 160,39 unequal: No Solution Exploring Operation: 40+4=44, Resulting Numbers: [44] 44,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[2, 20], Operations: ['81-77=4', '80/4=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,39 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,39 unequal: No Solution Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,39 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,39 unequal: No Solution Moving to Node #0,2,2 Current State: 39:[2, 27], Operations: ['80-77=3', '81/3=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,39 unequal: No Solution Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,39 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,39 unequal: No Solution Moving to Node #0,0,3 Current State: 39:[2, 76], Operations: ['81-77=4', '80-4=76'] Exploring Operation: 2+76=78, Resulting Numbers: [78] 78,39 unequal: No Solution Exploring Operation: 2*76=152, Resulting Numbers: [152] 152,39 unequal: No Solution Exploring Operation: 76/2=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 76-2=74, Resulting Numbers: [74] 74,39 unequal: No Solution Moving to Node #0,2,3 Current State: 39:[3, 79], Operations: ['80-77=3', '81-2=79'] Exploring Operation: 3*79=237, Resulting Numbers: [237] 237,39 unequal: No Solution Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,39 unequal: No Solution Exploring Operation: 3+79=82, Resulting Numbers: [82] 82,39 unequal: No Solution Moving to Node #0,2,1 Current State: 39:[2, 78], Operations: ['80-77=3', '81-3=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[2, 77, 80, 81], Operations: [] Exploring Operation: 80-77=3, Resulting Numbers: [2, 81, 3] Generated Node #0,2: 39:[2, 81, 3] Operation: 80-77=3 Moving to Node #0,2 Current State: 39:[2, 81, 3], Operations: ['80-77=3'] Exploring Operation: 81-3=78, Resulting Numbers: [2, 78] Generated Node #0,2,1: 39:[2, 78] Operation: 81-3=78 Moving to Node #0,2,1 Current State: 39:[2, 78], Operations: ['80-77=3', '81-3=78'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
0.947049
hs_4
sum_heuristic
[ 30, 83, 58, 96 ]
75
[ "30+83=113", "96-58=38", "113-38=75" ]
Current State: 75:[30, 83, 58, 96], Operations: [] Exploring Operation: 30+83=113, Resulting Numbers: [58, 96, 113] Generated Node #2: [58, 96, 113] from Operation: 30+83=113 Current State: 75:[58, 96, 113], Operations: ['30+83=113'] Exploring Operation: 96-58=38, Resulting Numbers: [113, 38] Generated Node #3: [113, 38] from Operation: 96-58=38 Current State: 75:[113, 38], Operations: ['30+83=113', '96-58=38'] Exploring Operation: 113-38=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[30, 83, 58, 96], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [30, 96, 25] Generated Node #0,0: 75:[30, 96, 25] Operation: 83-58=25 Exploring Operation: 96-83=13, Resulting Numbers: [30, 58, 13] Generated Node #0,1: 75:[30, 58, 13] Operation: 96-83=13 Start Sub Search at level 1: Moving to Node #0,1 Current State: 75:[30, 58, 13], Operations: ['96-83=13'] Exploring Operation: 58+13=71, Resulting Numbers: [30, 71] Generated Node #0,1,0: 75:[30, 71] Operation: 58+13=71 Exploring Operation: 58-30=28, Resulting Numbers: [13, 28] Generated Node #0,1,1: 75:[13, 28] Operation: 58-30=28 Moving to Node #0,1,1 Current State: 75:[13, 28], Operations: ['96-83=13', '58-30=28'] Exploring Operation: 13+28=41, Resulting Numbers: [41] 41,75 unequal: No Solution Exploring Operation: 28-13=15, Resulting Numbers: [15] 15,75 unequal: No Solution Moving to Node #0,1,0 Current State: 75:[30, 71], Operations: ['96-83=13', '58+13=71'] Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,75 unequal: No Solution Exploring Operation: 30+71=101, Resulting Numbers: [101] 101,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[30, 96, 25], Operations: ['83-58=25'] Exploring Operation: 96-25=71, Resulting Numbers: [30, 71] Generated Node #0,0,0: 75:[30, 71] Operation: 96-25=71 Exploring Operation: 96-30=66, Resulting Numbers: [25, 66] Generated Node #0,0,1: 75:[25, 66] Operation: 96-30=66 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[30, 71], Operations: ['83-58=25', '96-25=71'] Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,75 unequal: No Solution Exploring Operation: 30+71=101, Resulting Numbers: [101] 101,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 75:[25, 66], Operations: ['83-58=25', '96-30=66'] Exploring Operation: 25+66=91, Resulting Numbers: [91] 91,75 unequal: No Solution Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 58, 70, 44, 40 ]
96
[ "70-58=12", "44+40=84", "12+84=96" ]
Current State: 96:[58, 70, 44, 40], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [44, 40, 12] Generated Node #2: [44, 40, 12] from Operation: 70-58=12 Current State: 96:[44, 40, 12], Operations: ['70-58=12'] Exploring Operation: 44+40=84, Resulting Numbers: [12, 84] Generated Node #3: [12, 84] from Operation: 44+40=84 Current State: 96:[12, 84], Operations: ['70-58=12', '44+40=84'] Exploring Operation: 12+84=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[58, 70, 44, 40], Operations: [] Exploring Operation: 70-58=12, Resulting Numbers: [44, 40, 12] Generated Node #0,0: 96:[44, 40, 12] Operation: 70-58=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[44, 40, 12], Operations: ['70-58=12'] Exploring Operation: 44-40=4, Resulting Numbers: [12, 4] Generated Node #0,0,0: 96:[12, 4] Operation: 44-40=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 96:[12, 4], Operations: ['70-58=12', '44-40=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,96 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 8, 15, 90, 1 ]
56
[ "90/15=6", "1+6=7", "8*7=56" ]
Current State: 56:[8, 15, 90, 1], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [8, 1, 6] Generated Node #2: [8, 1, 6] from Operation: 90/15=6 Current State: 56:[8, 1, 6], Operations: ['90/15=6'] Exploring Operation: 1+6=7, Resulting Numbers: [8, 7] Generated Node #3: [8, 7] from Operation: 1+6=7 Current State: 56:[8, 7], Operations: ['90/15=6', '1+6=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[8, 15, 90, 1], Operations: [] Exploring Operation: 15-1=14, Resulting Numbers: [8, 90, 14] Generated Node #0,0: 56:[8, 90, 14] Operation: 15-1=14 Exploring Operation: 90/15=6, Resulting Numbers: [8, 1, 6] Generated Node #0,1: 56:[8, 1, 6] Operation: 90/15=6 Exploring Operation: 90-15=75, Resulting Numbers: [8, 1, 75] Generated Node #0,2: 56:[8, 1, 75] Operation: 90-15=75 Exploring Operation: 90-1=89, Resulting Numbers: [8, 15, 89] Generated Node #0,3: 56:[8, 15, 89] Operation: 90-1=89 Exploring Operation: 90-8=82, Resulting Numbers: [15, 1, 82] Generated Node #0,4: 56:[15, 1, 82] Operation: 90-8=82 Moving to Node #0,1 Current State: 56:[8, 1, 6], Operations: ['90/15=6'] Exploring Operation: 1+6=7, Resulting Numbers: [8, 7] Generated Node #0,1,0: 56:[8, 7] Operation: 1+6=7 Exploring Operation: 8/1=8, Resulting Numbers: [6, 8] Generated Node #0,1,1: 56:[6, 8] Operation: 8/1=8 Exploring Operation: 8+6=14, Resulting Numbers: [1, 14] Generated Node #0,1,2: 56:[1, 14] Operation: 8+6=14 Exploring Operation: 8-1=7, Resulting Numbers: [6, 7] Generated Node #0,1,3: 56:[6, 7] Operation: 8-1=7 Exploring Operation: 8*1=8, Resulting Numbers: [6, 8] Generated Node #0,1,4: 56:[6, 8] Operation: 8*1=8 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 56:[8, 7], Operations: ['90/15=6', '1+6=7'] Exploring Operation: 8+7=15, Resulting Numbers: [15] 15,56 unequal: No Solution Exploring Operation: 8-7=1, Resulting Numbers: [1] 1,56 unequal: No Solution Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[8, 15, 90, 1], Operations: [] Exploring Operation: 90/15=6, Resulting Numbers: [8, 1, 6] Generated Node #0,1: 56:[8, 1, 6] Operation: 90/15=6 Moving to Node #0,1 Current State: 56:[8, 1, 6], Operations: ['90/15=6'] Exploring Operation: 1+6=7, Resulting Numbers: [8, 7] Generated Node #0,1,0: 56:[8, 7] Operation: 1+6=7 Moving to Node #0,1,0 Current State: 56:[8, 7], Operations: ['90/15=6', '1+6=7'] Exploring Operation: 8*7=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 63, 25, 28, 87 ]
66
[ "28-25=3", "63/3=21", "87-21=66" ]
Current State: 66:[63, 25, 28, 87], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [63, 87, 3] Generated Node #2: [63, 87, 3] from Operation: 28-25=3 Current State: 66:[63, 87, 3], Operations: ['28-25=3'] Exploring Operation: 63/3=21, Resulting Numbers: [87, 21] Generated Node #3: [87, 21] from Operation: 63/3=21 Current State: 66:[87, 21], Operations: ['28-25=3', '63/3=21'] Exploring Operation: 87-21=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[63, 25, 28, 87], Operations: [] Exploring Operation: 87-63=24, Resulting Numbers: [25, 28, 24] Generated Node #0,0: 66:[25, 28, 24] Operation: 87-63=24 Exploring Operation: 87-25=62, Resulting Numbers: [63, 28, 62] Generated Node #0,1: 66:[63, 28, 62] Operation: 87-25=62 Moving to Node #0,0 Current State: 66:[25, 28, 24], Operations: ['87-63=24'] Exploring Operation: 28-24=4, Resulting Numbers: [25, 4] Generated Node #0,0,0: 66:[25, 4] Operation: 28-24=4 Exploring Operation: 28-25=3, Resulting Numbers: [24, 3] Generated Node #0,0,1: 66:[24, 3] Operation: 28-25=3 Moving to Node #0,1 Current State: 66:[63, 28, 62], Operations: ['87-25=62'] Exploring Operation: 63-28=35, Resulting Numbers: [62, 35] Generated Node #0,1,0: 66:[62, 35] Operation: 63-28=35 Exploring Operation: 62-28=34, Resulting Numbers: [63, 34] Generated Node #0,1,1: 66:[63, 34] Operation: 62-28=34 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 66:[63, 34], Operations: ['87-25=62', '62-28=34'] Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,66 unequal: No Solution Exploring Operation: 63+34=97, Resulting Numbers: [97] 97,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 66:[62, 35], Operations: ['87-25=62', '63-28=35'] Exploring Operation: 62-35=27, Resulting Numbers: [27] 27,66 unequal: No Solution Exploring Operation: 62+35=97, Resulting Numbers: [97] 97,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 66:[24, 3], Operations: ['87-63=24', '28-25=3'] Exploring Operation: 24/3=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,66 unequal: No Solution Moving to Node #0,0,0 Current State: 66:[25, 4], Operations: ['87-63=24', '28-24=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,66 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,66 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 51, 64, 73, 38 ]
98
[ "64-51=13", "73+38=111", "111-13=98" ]
Current State: 98:[51, 64, 73, 38], Operations: [] Exploring Operation: 64-51=13, Resulting Numbers: [73, 38, 13] Generated Node #2: [73, 38, 13] from Operation: 64-51=13 Current State: 98:[73, 38, 13], Operations: ['64-51=13'] Exploring Operation: 73+38=111, Resulting Numbers: [13, 111] Generated Node #3: [13, 111] from Operation: 73+38=111 Current State: 98:[13, 111], Operations: ['64-51=13', '73+38=111'] Exploring Operation: 111-13=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[51, 64, 73, 38], Operations: [] Exploring Operation: 73+38=111, Resulting Numbers: [51, 64, 111] Generated Node #0,0: 98:[51, 64, 111] Operation: 73+38=111 Exploring Operation: 64+38=102, Resulting Numbers: [51, 73, 102] Generated Node #0,1: 98:[51, 73, 102] Operation: 64+38=102 Exploring Operation: 73-64=9, Resulting Numbers: [51, 38, 9] Generated Node #0,2: 98:[51, 38, 9] Operation: 73-64=9 Moving to Node #0,2 Current State: 98:[51, 38, 9], Operations: ['73-64=9'] Exploring Operation: 38+9=47, Resulting Numbers: [51, 47] Generated Node #0,2,0: 98:[51, 47] Operation: 38+9=47 Exploring Operation: 51+38=89, Resulting Numbers: [9, 89] Generated Node #0,2,1: 98:[9, 89] Operation: 51+38=89 Exploring Operation: 51-38=13, Resulting Numbers: [9, 13] Generated Node #0,2,2: 98:[9, 13] Operation: 51-38=13 Moving to Node #0,0 Current State: 98:[51, 64, 111], Operations: ['73+38=111'] Exploring Operation: 111-64=47, Resulting Numbers: [51, 47] Generated Node #0,0,0: 98:[51, 47] Operation: 111-64=47 Exploring Operation: 64-51=13, Resulting Numbers: [111, 13] Generated Node #0,0,1: 98:[111, 13] Operation: 64-51=13 Exploring Operation: 111-51=60, Resulting Numbers: [64, 60] Generated Node #0,0,2: 98:[64, 60] Operation: 111-51=60 Moving to Node #0,1 Current State: 98:[51, 73, 102], Operations: ['64+38=102'] Exploring Operation: 102/51=2, Resulting Numbers: [73, 2] Generated Node #0,1,0: 98:[73, 2] Operation: 102/51=2 Exploring Operation: 102-73=29, Resulting Numbers: [51, 29] Generated Node #0,1,1: 98:[51, 29] Operation: 102-73=29 Exploring Operation: 73-51=22, Resulting Numbers: [102, 22] Generated Node #0,1,2: 98:[102, 22] Operation: 73-51=22 Moving to Node #0,2,2 Current State: 98:[9, 13], Operations: ['73-64=9', '51-38=13'] Exploring Operation: 9*13=117, Resulting Numbers: [117] 117,98 unequal: No Solution Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,98 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,98 unequal: No Solution Moving to Node #0,2,0 Current State: 98:[51, 47], Operations: ['73-64=9', '38+9=47'] Exploring Operation: 51*47=2397, Resulting Numbers: [2397] 2397,98 unequal: No Solution Exploring Operation: 51-47=4, Resulting Numbers: [4] 4,98 unequal: No Solution Exploring Operation: 51+47=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[51, 64, 73, 38], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [51, 38, 9] Generated Node #0,2: 98:[51, 38, 9] Operation: 73-64=9 Moving to Node #0,2 Current State: 98:[51, 38, 9], Operations: ['73-64=9'] Exploring Operation: 38+9=47, Resulting Numbers: [51, 47] Generated Node #0,2,0: 98:[51, 47] Operation: 38+9=47 Moving to Node #0,2,0 Current State: 98:[51, 47], Operations: ['73-64=9', '38+9=47'] Exploring Operation: 51+47=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
0.980903
hs_3
mult_heuristic
[ 65, 65, 67, 33 ]
69
[ "65+67=132", "132/33=4", "65+4=69" ]
Current State: 69:[65, 65, 67, 33], Operations: [] Exploring Operation: 65+67=132, Resulting Numbers: [33, 132] Generated Node #2: [33, 132] from Operation: 65+67=132 Current State: 69:[33, 132], Operations: ['65+67=132'] Exploring Operation: 132/33=4, Resulting Numbers: [4] 4,69 equal: Goal Reached Exploring Operation: 65+4=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[65, 65, 67, 33], Operations: [] Exploring Operation: 65-65=0, Resulting Numbers: [67, 33, 0] Generated Node #0,0: 69:[67, 33, 0] Operation: 65-65=0 Exploring Operation: 65/65=1, Resulting Numbers: [67, 33, 1] Generated Node #0,1: 69:[67, 33, 1] Operation: 65/65=1 Moving to Node #0,1 Current State: 69:[67, 33, 1], Operations: ['65/65=1'] Exploring Operation: 67+1=68, Resulting Numbers: [33, 68] Generated Node #0,1,0: 69:[33, 68] Operation: 67+1=68 Exploring Operation: 33-1=32, Resulting Numbers: [67, 32] Generated Node #0,1,1: 69:[67, 32] Operation: 33-1=32 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 69:[33, 68], Operations: ['65/65=1', '67+1=68'] Exploring Operation: 68-33=35, Resulting Numbers: [35] 35,69 unequal: No Solution Exploring Operation: 33+68=101, Resulting Numbers: [101] 101,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 69:[67, 32], Operations: ['65/65=1', '33-1=32'] Exploring Operation: 67+32=99, Resulting Numbers: [99] 99,69 unequal: No Solution Exploring Operation: 67-32=35, Resulting Numbers: [35] 35,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 69:[67, 33, 0], Operations: ['65-65=0'] Exploring Operation: 33*0=0, Resulting Numbers: [67, 0] Generated Node #0,0,0: 69:[67, 0] Operation: 33*0=0 Exploring Operation: 67+0=67, Resulting Numbers: [33, 67] Generated Node #0,0,1: 69:[33, 67] Operation: 67+0=67 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 69:[67, 0], Operations: ['65-65=0', '33*0=0'] Exploring Operation: 67-0=67, Resulting Numbers: [67] 67,69 unequal: No Solution Exploring Operation: 67+0=67, Resulting Numbers: [67] 67,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 69:[33, 67], Operations: ['65-65=0', '67+0=67'] Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,69 unequal: No Solution Exploring Operation: 33+67=100, Resulting Numbers: [100] 100,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 86, 48, 64, 16 ]
34
[ "86-48=38", "64/16=4", "38-4=34" ]
Current State: 34:[86, 48, 64, 16], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [64, 16, 38] Generated Node #2: [64, 16, 38] from Operation: 86-48=38 Current State: 34:[64, 16, 38], Operations: ['86-48=38'] Exploring Operation: 64/16=4, Resulting Numbers: [38, 4] Generated Node #3: [38, 4] from Operation: 64/16=4 Current State: 34:[38, 4], Operations: ['86-48=38', '64/16=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[86, 48, 64, 16], Operations: [] Exploring Operation: 86-64=22, Resulting Numbers: [48, 16, 22] Generated Node #0,0: 34:[48, 16, 22] Operation: 86-64=22 Exploring Operation: 86-48=38, Resulting Numbers: [64, 16, 38] Generated Node #0,1: 34:[64, 16, 38] Operation: 86-48=38 Moving to Node #0,0 Current State: 34:[48, 16, 22], Operations: ['86-64=22'] Exploring Operation: 48/16=3, Resulting Numbers: [22, 3] Generated Node #0,0,0: 34:[22, 3] Operation: 48/16=3 Exploring Operation: 48-16=32, Resulting Numbers: [22, 32] Generated Node #0,0,1: 34:[22, 32] Operation: 48-16=32 Moving to Node #0,1 Current State: 34:[64, 16, 38], Operations: ['86-48=38'] Exploring Operation: 64/16=4, Resulting Numbers: [38, 4] Generated Node #0,1,0: 34:[38, 4] Operation: 64/16=4 Exploring Operation: 64-38=26, Resulting Numbers: [16, 26] Generated Node #0,1,1: 34:[16, 26] Operation: 64-38=26 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 34:[38, 4], Operations: ['86-48=38', '64/16=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[86, 48, 64, 16], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [64, 16, 38] Generated Node #0,1: 34:[64, 16, 38] Operation: 86-48=38 Moving to Node #0,1 Current State: 34:[64, 16, 38], Operations: ['86-48=38'] Exploring Operation: 64/16=4, Resulting Numbers: [38, 4] Generated Node #0,1,0: 34:[38, 4] Operation: 64/16=4 Moving to Node #0,1,0 Current State: 34:[38, 4], Operations: ['86-48=38', '64/16=4'] Exploring Operation: 38-4=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
sum_heuristic
[ 30, 77, 56, 47 ]
57
[ "77-30=47", "47/47=1", "56+1=57" ]
Current State: 57:[30, 77, 56, 47], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [56, 47, 47] Generated Node #2: [56, 47, 47] from Operation: 77-30=47 Current State: 57:[56, 47, 47], Operations: ['77-30=47'] Exploring Operation: 47/47=1, Resulting Numbers: [56, 1] Generated Node #3: [56, 1] from Operation: 47/47=1 Current State: 57:[56, 1], Operations: ['77-30=47', '47/47=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[30, 77, 56, 47], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [77, 56, 17] Generated Node #0,0: 57:[77, 56, 17] Operation: 47-30=17 Exploring Operation: 77-30=47, Resulting Numbers: [56, 47, 47] Generated Node #0,1: 57:[56, 47, 47] Operation: 77-30=47 Exploring Operation: 77-56=21, Resulting Numbers: [30, 47, 21] Generated Node #0,2: 57:[30, 47, 21] Operation: 77-56=21 Moving to Node #0,1 Current State: 57:[56, 47, 47], Operations: ['77-30=47'] Exploring Operation: 47/47=1, Resulting Numbers: [56, 1] Generated Node #0,1,0: 57:[56, 1] Operation: 47/47=1 Exploring Operation: 56-47=9, Resulting Numbers: [47, 9] Generated Node #0,1,1: 57:[47, 9] Operation: 56-47=9 Exploring Operation: 47-47=0, Resulting Numbers: [56, 0] Generated Node #0,1,2: 57:[56, 0] Operation: 47-47=0 Moving to Node #0,0 Current State: 57:[77, 56, 17], Operations: ['47-30=17'] Exploring Operation: 77-56=21, Resulting Numbers: [17, 21] Generated Node #0,0,0: 57:[17, 21] Operation: 77-56=21 Exploring Operation: 56+17=73, Resulting Numbers: [77, 73] Generated Node #0,0,1: 57:[77, 73] Operation: 56+17=73 Exploring Operation: 77-17=60, Resulting Numbers: [56, 60] Generated Node #0,0,2: 57:[56, 60] Operation: 77-17=60 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[17, 21], Operations: ['47-30=17', '77-56=21'] Exploring Operation: 21-17=4, Resulting Numbers: [4] 4,57 unequal: No Solution Exploring Operation: 17+21=38, Resulting Numbers: [38] 38,57 unequal: No Solution Exploring Operation: 17*21=357, Resulting Numbers: [357] 357,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 57:[56, 60], Operations: ['47-30=17', '77-17=60'] Exploring Operation: 56+60=116, Resulting Numbers: [116] 116,57 unequal: No Solution Exploring Operation: 60-56=4, Resulting Numbers: [4] 4,57 unequal: No Solution Exploring Operation: 56*60=3360, Resulting Numbers: [3360] 3360,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 57:[77, 73], Operations: ['47-30=17', '56+17=73'] Exploring Operation: 77*73=5621, Resulting Numbers: [5621] 5621,57 unequal: No Solution Exploring Operation: 77-73=4, Resulting Numbers: [4] 4,57 unequal: No Solution Exploring Operation: 77+73=150, Resulting Numbers: [150] 150,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 57:[30, 47, 21], Operations: ['77-56=21'] Exploring Operation: 30+21=51, Resulting Numbers: [47, 51] Generated Node #0,2,0: 57:[47, 51] Operation: 30+21=51 Exploring Operation: 30-21=9, Resulting Numbers: [47, 9] Generated Node #0,2,1: 57:[47, 9] Operation: 30-21=9 Exploring Operation: 47-30=17, Resulting Numbers: [21, 17] Generated Node #0,2,2: 57:[21, 17] Operation: 47-30=17 Moving to Node #0,1,0 Current State: 57:[56, 1], Operations: ['77-30=47', '47/47=1'] Exploring Operation: 56/1=56, Resulting Numbers: [56] 56,57 unequal: No Solution Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[30, 77, 56, 47], Operations: [] Exploring Operation: 77-30=47, Resulting Numbers: [56, 47, 47] Generated Node #0,1: 57:[56, 47, 47] Operation: 77-30=47 Moving to Node #0,1 Current State: 57:[56, 47, 47], Operations: ['77-30=47'] Exploring Operation: 47/47=1, Resulting Numbers: [56, 1] Generated Node #0,1,0: 57:[56, 1] Operation: 47/47=1 Moving to Node #0,1,0 Current State: 57:[56, 1], Operations: ['77-30=47', '47/47=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
0.976563
hs_3
mult_heuristic
[ 63, 36, 49, 51 ]
54
[ "63-36=27", "51-49=2", "27*2=54" ]
Current State: 54:[63, 36, 49, 51], Operations: [] Exploring Operation: 63-36=27, Resulting Numbers: [49, 51, 27] Generated Node #2: [49, 51, 27] from Operation: 63-36=27 Current State: 54:[49, 51, 27], Operations: ['63-36=27'] Exploring Operation: 51-49=2, Resulting Numbers: [27, 2] Generated Node #3: [27, 2] from Operation: 51-49=2 Current State: 54:[27, 2], Operations: ['63-36=27', '51-49=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[63, 36, 49, 51], Operations: [] Exploring Operation: 49-36=13, Resulting Numbers: [63, 51, 13] Generated Node #0,0: 54:[63, 51, 13] Operation: 49-36=13 Exploring Operation: 63-49=14, Resulting Numbers: [36, 51, 14] Generated Node #0,1: 54:[36, 51, 14] Operation: 63-49=14 Exploring Operation: 51-36=15, Resulting Numbers: [63, 49, 15] Generated Node #0,2: 54:[63, 49, 15] Operation: 51-36=15 Exploring Operation: 63-36=27, Resulting Numbers: [49, 51, 27] Generated Node #0,3: 54:[49, 51, 27] Operation: 63-36=27 Exploring Operation: 63-51=12, Resulting Numbers: [36, 49, 12] Generated Node #0,4: 54:[36, 49, 12] Operation: 63-51=12 Moving to Node #0,3 Current State: 54:[49, 51, 27], Operations: ['63-36=27'] Exploring Operation: 51-49=2, Resulting Numbers: [27, 2] Generated Node #0,3,0: 54:[27, 2] Operation: 51-49=2 Exploring Operation: 51-27=24, Resulting Numbers: [49, 24] Generated Node #0,3,1: 54:[49, 24] Operation: 51-27=24 Exploring Operation: 49+27=76, Resulting Numbers: [51, 76] Generated Node #0,3,2: 54:[51, 76] Operation: 49+27=76 Exploring Operation: 51+27=78, Resulting Numbers: [49, 78] Generated Node #0,3,3: 54:[49, 78] Operation: 51+27=78 Exploring Operation: 49-27=22, Resulting Numbers: [51, 22] Generated Node #0,3,4: 54:[51, 22] Operation: 49-27=22 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 54:[27, 2], Operations: ['63-36=27', '51-49=2'] Exploring Operation: 27+2=29, Resulting Numbers: [29] 29,54 unequal: No Solution Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[63, 36, 49, 51], Operations: [] Exploring Operation: 63-36=27, Resulting Numbers: [49, 51, 27] Generated Node #0,3: 54:[49, 51, 27] Operation: 63-36=27 Moving to Node #0,3 Current State: 54:[49, 51, 27], Operations: ['63-36=27'] Exploring Operation: 51-49=2, Resulting Numbers: [27, 2] Generated Node #0,3,0: 54:[27, 2] Operation: 51-49=2 Moving to Node #0,3,0 Current State: 54:[27, 2], Operations: ['63-36=27', '51-49=2'] Exploring Operation: 27*2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
mult_heuristic
[ 44, 41, 58, 26 ]
87
[ "44-41=3", "58+26=84", "3+84=87" ]
Current State: 87:[44, 41, 58, 26], Operations: [] Exploring Operation: 44-41=3, Resulting Numbers: [58, 26, 3] Generated Node #2: [58, 26, 3] from Operation: 44-41=3 Current State: 87:[58, 26, 3], Operations: ['44-41=3'] Exploring Operation: 58+26=84, Resulting Numbers: [3, 84] Generated Node #3: [3, 84] from Operation: 58+26=84 Current State: 87:[3, 84], Operations: ['44-41=3', '58+26=84'] Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[44, 41, 58, 26], Operations: [] Exploring Operation: 41+58=99, Resulting Numbers: [44, 26, 99] Generated Node #0,0: 87:[44, 26, 99] Operation: 41+58=99 Exploring Operation: 44+58=102, Resulting Numbers: [41, 26, 102] Generated Node #0,1: 87:[41, 26, 102] Operation: 44+58=102 Exploring Operation: 58-44=14, Resulting Numbers: [41, 26, 14] Generated Node #0,2: 87:[41, 26, 14] Operation: 58-44=14 Exploring Operation: 58-41=17, Resulting Numbers: [44, 26, 17] Generated Node #0,3: 87:[44, 26, 17] Operation: 58-41=17 Moving to Node #0,2 Current State: 87:[41, 26, 14], Operations: ['58-44=14'] Exploring Operation: 41-14=27, Resulting Numbers: [26, 27] Generated Node #0,2,0: 87:[26, 27] Operation: 41-14=27 Exploring Operation: 26+14=40, Resulting Numbers: [41, 40] Generated Node #0,2,1: 87:[41, 40] Operation: 26+14=40 Exploring Operation: 26-14=12, Resulting Numbers: [41, 12] Generated Node #0,2,2: 87:[41, 12] Operation: 26-14=12 Exploring Operation: 41-26=15, Resulting Numbers: [14, 15] Generated Node #0,2,3: 87:[14, 15] Operation: 41-26=15 Moving to Node #0,1 Current State: 87:[41, 26, 102], Operations: ['44+58=102'] Exploring Operation: 41-26=15, Resulting Numbers: [102, 15] Generated Node #0,1,0: 87:[102, 15] Operation: 41-26=15 Exploring Operation: 102-41=61, Resulting Numbers: [26, 61] Generated Node #0,1,1: 87:[26, 61] Operation: 102-41=61 Exploring Operation: 41+26=67, Resulting Numbers: [102, 67] Generated Node #0,1,2: 87:[102, 67] Operation: 41+26=67 Exploring Operation: 102-26=76, Resulting Numbers: [41, 76] Generated Node #0,1,3: 87:[41, 76] Operation: 102-26=76 Moving to Node #0,0 Current State: 87:[44, 26, 99], Operations: ['41+58=99'] Exploring Operation: 44-26=18, Resulting Numbers: [99, 18] Generated Node #0,0,0: 87:[99, 18] Operation: 44-26=18 Exploring Operation: 99-44=55, Resulting Numbers: [26, 55] Generated Node #0,0,1: 87:[26, 55] Operation: 99-44=55 Exploring Operation: 44+26=70, Resulting Numbers: [99, 70] Generated Node #0,0,2: 87:[99, 70] Operation: 44+26=70 Exploring Operation: 99-26=73, Resulting Numbers: [44, 73] Generated Node #0,0,3: 87:[44, 73] Operation: 99-26=73 Moving to Node #0,3 Current State: 87:[44, 26, 17], Operations: ['58-41=17'] Exploring Operation: 44-17=27, Resulting Numbers: [26, 27] Generated Node #0,3,0: 87:[26, 27] Operation: 44-17=27 Exploring Operation: 44-26=18, Resulting Numbers: [17, 18] Generated Node #0,3,1: 87:[17, 18] Operation: 44-26=18 Exploring Operation: 26-17=9, Resulting Numbers: [44, 9] Generated Node #0,3,2: 87:[44, 9] Operation: 26-17=9 Exploring Operation: 44+26=70, Resulting Numbers: [17, 70] Generated Node #0,3,3: 87:[17, 70] Operation: 44+26=70 Moving to Node #0,2,0 Current State: 87:[26, 27], Operations: ['58-44=14', '41-14=27'] Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,87 unequal: No Solution Exploring Operation: 26*27=702, Resulting Numbers: [702] 702,87 unequal: No Solution Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,87 unequal: No Solution Moving to Node #0,3,0 Current State: 87:[26, 27], Operations: ['58-41=17', '44-17=27'] Exploring Operation: 26*27=702, Resulting Numbers: [702] 702,87 unequal: No Solution Exploring Operation: 27-26=1, Resulting Numbers: [1] 1,87 unequal: No Solution Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,87 unequal: No Solution Moving to Node #0,3,2 Current State: 87:[44, 9], Operations: ['58-41=17', '26-17=9'] Exploring Operation: 44+9=53, Resulting Numbers: [53] 53,87 unequal: No Solution Exploring Operation: 44*9=396, Resulting Numbers: [396] 396,87 unequal: No Solution Exploring Operation: 44-9=35, Resulting Numbers: [35] 35,87 unequal: No Solution Moving to Node #0,2,2 Current State: 87:[41, 12], Operations: ['58-44=14', '26-14=12'] Exploring Operation: 41+12=53, Resulting Numbers: [53] 53,87 unequal: No Solution Exploring Operation: 41-12=29, Resulting Numbers: [29] 29,87 unequal: No Solution Exploring Operation: 41*12=492, Resulting Numbers: [492] 492,87 unequal: No Solution Moving to Node #0,3,1 Current State: 87:[17, 18], Operations: ['58-41=17', '44-26=18'] Exploring Operation: 17*18=306, Resulting Numbers: [306] 306,87 unequal: No Solution Exploring Operation: 17+18=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 18-17=1, Resulting Numbers: [1] 1,87 unequal: No Solution Moving to Node #0,2,1 Current State: 87:[41, 40], Operations: ['58-44=14', '26+14=40'] Exploring Operation: 41*40=1640, Resulting Numbers: [1640] 1640,87 unequal: No Solution Exploring Operation: 41-40=1, Resulting Numbers: [1] 1,87 unequal: No Solution Exploring Operation: 41+40=81, Resulting Numbers: [81] 81,87 unequal: No Solution Moving to Node #0,1,3 Current State: 87:[41, 76], Operations: ['44+58=102', '102-26=76'] Exploring Operation: 41*76=3116, Resulting Numbers: [3116] 3116,87 unequal: No Solution Exploring Operation: 76-41=35, Resulting Numbers: [35] 35,87 unequal: No Solution Exploring Operation: 41+76=117, Resulting Numbers: [117] 117,87 unequal: No Solution Moving to Node #0,2,3 Current State: 87:[14, 15], Operations: ['58-44=14', '41-26=15'] Exploring Operation: 14+15=29, Resulting Numbers: [29] 29,87 unequal: No Solution Exploring Operation: 15-14=1, Resulting Numbers: [1] 1,87 unequal: No Solution Exploring Operation: 14*15=210, Resulting Numbers: [210] 210,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[99, 18], Operations: ['41+58=99', '44-26=18'] Exploring Operation: 99*18=1782, Resulting Numbers: [1782] 1782,87 unequal: No Solution Exploring Operation: 99-18=81, Resulting Numbers: [81] 81,87 unequal: No Solution Exploring Operation: 99+18=117, Resulting Numbers: [117] 117,87 unequal: No Solution Moving to Node #0,1,0 Current State: 87:[102, 15], Operations: ['44+58=102', '41-26=15'] Exploring Operation: 102+15=117, Resulting Numbers: [117] 117,87 unequal: No Solution Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[44, 41, 58, 26], Operations: [] Exploring Operation: 44+58=102, Resulting Numbers: [41, 26, 102] Generated Node #0,1: 87:[41, 26, 102] Operation: 44+58=102 Moving to Node #0,1 Current State: 87:[41, 26, 102], Operations: ['44+58=102'] Exploring Operation: 41-26=15, Resulting Numbers: [102, 15] Generated Node #0,1,0: 87:[102, 15] Operation: 41-26=15 Moving to Node #0,1,0 Current State: 87:[102, 15], Operations: ['44+58=102', '41-26=15'] Exploring Operation: 102-15=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
0.953993
hs_4
mult_heuristic
[ 28, 3, 39, 3 ]
28
[ "3-3=0", "39*0=0", "28+0=28" ]
Current State: 28:[28, 3, 39, 3], Operations: [] Exploring Operation: 3-3=0, Resulting Numbers: [28, 39, 0] Generated Node #2: [28, 39, 0] from Operation: 3-3=0 Current State: 28:[28, 39, 0], Operations: ['3-3=0'] Exploring Operation: 39*0=0, Resulting Numbers: [28, 0] Generated Node #3: [28, 0] from Operation: 39*0=0 Current State: 28:[28, 0], Operations: ['3-3=0', '39*0=0'] Exploring Operation: 28+0=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[28, 3, 39, 3], Operations: [] Exploring Operation: 39/3=13, Resulting Numbers: [28, 3, 13] Generated Node #0,0: 28:[28, 3, 13] Operation: 39/3=13 Exploring Operation: 39-3=36, Resulting Numbers: [28, 3, 36] Generated Node #0,1: 28:[28, 3, 36] Operation: 39-3=36 Exploring Operation: 39-28=11, Resulting Numbers: [3, 3, 11] Generated Node #0,2: 28:[3, 3, 11] Operation: 39-28=11 Exploring Operation: 39/3=13, Resulting Numbers: [28, 3, 13] Generated Node #0,3: 28:[28, 3, 13] Operation: 39/3=13 Exploring Operation: 39-3=36, Resulting Numbers: [28, 3, 36] Generated Node #0,4: 28:[28, 3, 36] Operation: 39-3=36 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[28, 3, 13], Operations: ['39/3=13'] Exploring Operation: 3+13=16, Resulting Numbers: [28, 16] Generated Node #0,0,0: 28:[28, 16] Operation: 3+13=16 Exploring Operation: 28-3=25, Resulting Numbers: [13, 25] Generated Node #0,0,1: 28:[13, 25] Operation: 28-3=25 Exploring Operation: 13-3=10, Resulting Numbers: [28, 10] Generated Node #0,0,2: 28:[28, 10] Operation: 13-3=10 Exploring Operation: 28+3=31, Resulting Numbers: [13, 31] Generated Node #0,0,3: 28:[13, 31] Operation: 28+3=31 Exploring Operation: 28-13=15, Resulting Numbers: [3, 15] Generated Node #0,0,4: 28:[3, 15] Operation: 28-13=15 Moving to Node #0,0,0 Current State: 28:[28, 16], Operations: ['39/3=13', '3+13=16'] Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,28 unequal: No Solution Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,28 unequal: No Solution Exploring Operation: 28*16=448, Resulting Numbers: [448] 448,28 unequal: No Solution Moving to Node #0,0,4 Current State: 28:[3, 15], Operations: ['39/3=13', '28-13=15'] Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,28 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,28 unequal: No Solution Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,28 unequal: No Solution Moving to Node #0,0,2 Current State: 28:[28, 10], Operations: ['39/3=13', '13-3=10'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 28*10=280, Resulting Numbers: [280] 280,28 unequal: No Solution Exploring Operation: 28+10=38, Resulting Numbers: [38] 38,28 unequal: No Solution Moving to Node #0,0,1 Current State: 28:[13, 25], Operations: ['39/3=13', '28-3=25'] Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,28 unequal: No Solution Exploring Operation: 13*25=325, Resulting Numbers: [325] 325,28 unequal: No Solution Exploring Operation: 13+25=38, Resulting Numbers: [38] 38,28 unequal: No Solution Moving to Node #0,0,3 Current State: 28:[13, 31], Operations: ['39/3=13', '28+3=31'] Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 13+31=44, Resulting Numbers: [44] 44,28 unequal: No Solution Exploring Operation: 13*31=403, Resulting Numbers: [403] 403,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[28, 3, 13], Operations: ['39/3=13'] Exploring Operation: 13-3=10, Resulting Numbers: [28, 10] Generated Node #0,3,0: 28:[28, 10] Operation: 13-3=10 Exploring Operation: 28-13=15, Resulting Numbers: [3, 15] Generated Node #0,3,1: 28:[3, 15] Operation: 28-13=15 Exploring Operation: 28+3=31, Resulting Numbers: [13, 31] Generated Node #0,3,2: 28:[13, 31] Operation: 28+3=31 Exploring Operation: 3+13=16, Resulting Numbers: [28, 16] Generated Node #0,3,3: 28:[28, 16] Operation: 3+13=16 Exploring Operation: 28-3=25, Resulting Numbers: [13, 25] Generated Node #0,3,4: 28:[13, 25] Operation: 28-3=25 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 28:[3, 15], Operations: ['39/3=13', '28-13=15'] Exploring Operation: 15/3=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 15-3=12, Resulting Numbers: [12] 12,28 unequal: No Solution Exploring Operation: 3*15=45, Resulting Numbers: [45] 45,28 unequal: No Solution Exploring Operation: 3+15=18, Resulting Numbers: [18] 18,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 28:[28, 16], Operations: ['39/3=13', '3+13=16'] Exploring Operation: 28*16=448, Resulting Numbers: [448] 448,28 unequal: No Solution Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,28 unequal: No Solution Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 28:[28, 10], Operations: ['39/3=13', '13-3=10'] Exploring Operation: 28-10=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 28*10=280, Resulting Numbers: [280] 280,28 unequal: No Solution Exploring Operation: 28+10=38, Resulting Numbers: [38] 38,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 28:[13, 31], Operations: ['39/3=13', '28+3=31'] Exploring Operation: 13+31=44, Resulting Numbers: [44] 44,28 unequal: No Solution Exploring Operation: 13*31=403, Resulting Numbers: [403] 403,28 unequal: No Solution Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 28:[13, 25], Operations: ['39/3=13', '28-3=25'] Exploring Operation: 13*25=325, Resulting Numbers: [325] 325,28 unequal: No Solution Exploring Operation: 13+25=38, Resulting Numbers: [38] 38,28 unequal: No Solution Exploring Operation: 25-13=12, Resulting Numbers: [12] 12,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[3, 3, 11], Operations: ['39-28=11'] Exploring Operation: 3+3=6, Resulting Numbers: [11, 6] Generated Node #0,2,0: 28:[11, 6] Operation: 3+3=6 Exploring Operation: 11-3=8, Resulting Numbers: [3, 8] Generated Node #0,2,1: 28:[3, 8] Operation: 11-3=8 Exploring Operation: 3+11=14, Resulting Numbers: [3, 14] Generated Node #0,2,2: 28:[3, 14] Operation: 3+11=14 Exploring Operation: 11-3=8, Resulting Numbers: [3, 8] Generated Node #0,2,3: 28:[3, 8] Operation: 11-3=8 Exploring Operation: 3+11=14, Resulting Numbers: [3, 14] Generated Node #0,2,4: 28:[3, 14] Operation: 3+11=14 Moving to Node #0,2,2 Current State: 28:[3, 14], Operations: ['39-28=11', '3+11=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,28 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,28 unequal: No Solution Moving to Node #0,2,4 Current State: 28:[3, 14], Operations: ['39-28=11', '3+11=14'] Exploring Operation: 14-3=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 3+14=17, Resulting Numbers: [17] 17,28 unequal: No Solution Exploring Operation: 3*14=42, Resulting Numbers: [42] 42,28 unequal: No Solution Moving to Node #0,2,1 Current State: 28:[3, 8], Operations: ['39-28=11', '11-3=8'] Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,28 unequal: No Solution Moving to Node #0,2,3 Current State: 28:[3, 8], Operations: ['39-28=11', '11-3=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,28 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,28 unequal: No Solution Moving to Node #0,2,0 Current State: 28:[11, 6], Operations: ['39-28=11', '3+3=6'] Exploring Operation: 11*6=66, Resulting Numbers: [66] 66,28 unequal: No Solution Exploring Operation: 11-6=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 11+6=17, Resulting Numbers: [17] 17,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[28, 3, 36], Operations: ['39-3=36'] Exploring Operation: 28+3=31, Resulting Numbers: [36, 31] Generated Node #0,1,0: 28:[36, 31] Operation: 28+3=31 Exploring Operation: 28-3=25, Resulting Numbers: [36, 25] Generated Node #0,1,1: 28:[36, 25] Operation: 28-3=25 Exploring Operation: 36-28=8, Resulting Numbers: [3, 8] Generated Node #0,1,2: 28:[3, 8] Operation: 36-28=8 Exploring Operation: 36-3=33, Resulting Numbers: [28, 33] Generated Node #0,1,3: 28:[28, 33] Operation: 36-3=33 Exploring Operation: 36/3=12, Resulting Numbers: [28, 12] Generated Node #0,1,4: 28:[28, 12] Operation: 36/3=12 Moving to Node #0,1,2 Current State: 28:[3, 8], Operations: ['39-3=36', '36-28=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,28 unequal: No Solution Moving to Node #0,1,4 Current State: 28:[28, 12], Operations: ['39-3=36', '36/3=12'] Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,28 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 28*12=336, Resulting Numbers: [336] 336,28 unequal: No Solution Moving to Node #0,1,3 Current State: 28:[28, 33], Operations: ['39-3=36', '36-3=33'] Exploring Operation: 28+33=61, Resulting Numbers: [61] 61,28 unequal: No Solution Exploring Operation: 28*33=924, Resulting Numbers: [924] 924,28 unequal: No Solution Exploring Operation: 33-28=5, Resulting Numbers: [5] 5,28 unequal: No Solution Moving to Node #0,1,0 Current State: 28:[36, 31], Operations: ['39-3=36', '28+3=31'] Exploring Operation: 36*31=1116, Resulting Numbers: [1116] 1116,28 unequal: No Solution Exploring Operation: 36+31=67, Resulting Numbers: [67] 67,28 unequal: No Solution Exploring Operation: 36-31=5, Resulting Numbers: [5] 5,28 unequal: No Solution Moving to Node #0,1,1 Current State: 28:[36, 25], Operations: ['39-3=36', '28-3=25'] Exploring Operation: 36*25=900, Resulting Numbers: [900] 900,28 unequal: No Solution Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 36+25=61, Resulting Numbers: [61] 61,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 28:[28, 3, 36], Operations: ['39-3=36'] Exploring Operation: 28+3=31, Resulting Numbers: [36, 31] Generated Node #0,4,0: 28:[36, 31] Operation: 28+3=31 Exploring Operation: 36-3=33, Resulting Numbers: [28, 33] Generated Node #0,4,1: 28:[28, 33] Operation: 36-3=33 Exploring Operation: 36/3=12, Resulting Numbers: [28, 12] Generated Node #0,4,2: 28:[28, 12] Operation: 36/3=12 Exploring Operation: 36-28=8, Resulting Numbers: [3, 8] Generated Node #0,4,3: 28:[3, 8] Operation: 36-28=8 Exploring Operation: 28-3=25, Resulting Numbers: [36, 25] Generated Node #0,4,4: 28:[36, 25] Operation: 28-3=25 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 28:[28, 12], Operations: ['39-3=36', '36/3=12'] Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,28 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,28 unequal: No Solution Exploring Operation: 28*12=336, Resulting Numbers: [336] 336,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 28:[3, 8], Operations: ['39-3=36', '36-28=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,28 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 28:[28, 33], Operations: ['39-3=36', '36-3=33'] Exploring Operation: 33-28=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 28+33=61, Resulting Numbers: [61] 61,28 unequal: No Solution Exploring Operation: 28*33=924, Resulting Numbers: [924] 924,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 28:[36, 31], Operations: ['39-3=36', '28+3=31'] Exploring Operation: 36+31=67, Resulting Numbers: [67] 67,28 unequal: No Solution Exploring Operation: 36-31=5, Resulting Numbers: [5] 5,28 unequal: No Solution Exploring Operation: 36*31=1116, Resulting Numbers: [1116] 1116,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 28:[36, 25], Operations: ['39-3=36', '28-3=25'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 36+25=61, Resulting Numbers: [61] 61,28 unequal: No Solution Exploring Operation: 36*25=900, Resulting Numbers: [900] 900,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 12, 34, 2, 55 ]
44
[ "34-12=22", "22/2=11", "55-11=44" ]
Current State: 44:[12, 34, 2, 55], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [2, 55, 22] Generated Node #2: [2, 55, 22] from Operation: 34-12=22 Current State: 44:[2, 55, 22], Operations: ['34-12=22'] Exploring Operation: 22/2=11, Resulting Numbers: [55, 11] Generated Node #3: [55, 11] from Operation: 22/2=11 Current State: 44:[55, 11], Operations: ['34-12=22', '22/2=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[12, 34, 2, 55], Operations: [] Exploring Operation: 55-34=21, Resulting Numbers: [12, 2, 21] Generated Node #0,0: 44:[12, 2, 21] Operation: 55-34=21 Exploring Operation: 55-12=43, Resulting Numbers: [34, 2, 43] Generated Node #0,1: 44:[34, 2, 43] Operation: 55-12=43 Exploring Operation: 34-12=22, Resulting Numbers: [2, 55, 22] Generated Node #0,2: 44:[2, 55, 22] Operation: 34-12=22 Exploring Operation: 12+34=46, Resulting Numbers: [2, 55, 46] Generated Node #0,3: 44:[2, 55, 46] Operation: 12+34=46 Moving to Node #0,0 Current State: 44:[12, 2, 21], Operations: ['55-34=21'] Exploring Operation: 21-12=9, Resulting Numbers: [2, 9] Generated Node #0,0,0: 44:[2, 9] Operation: 21-12=9 Exploring Operation: 12*2=24, Resulting Numbers: [21, 24] Generated Node #0,0,1: 44:[21, 24] Operation: 12*2=24 Exploring Operation: 12-2=10, Resulting Numbers: [21, 10] Generated Node #0,0,2: 44:[21, 10] Operation: 12-2=10 Exploring Operation: 2+21=23, Resulting Numbers: [12, 23] Generated Node #0,0,3: 44:[12, 23] Operation: 2+21=23 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 44:[2, 9], Operations: ['55-34=21', '21-12=9'] Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,44 unequal: No Solution Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,44 unequal: No Solution Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 44:[21, 10], Operations: ['55-34=21', '12-2=10'] Exploring Operation: 21*10=210, Resulting Numbers: [210] 210,44 unequal: No Solution Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 44:[12, 23], Operations: ['55-34=21', '2+21=23'] Exploring Operation: 12*23=276, Resulting Numbers: [276] 276,44 unequal: No Solution Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,44 unequal: No Solution Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 44:[21, 24], Operations: ['55-34=21', '12*2=24'] Exploring Operation: 21*24=504, Resulting Numbers: [504] 504,44 unequal: No Solution Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,44 unequal: No Solution Exploring Operation: 24-21=3, Resulting Numbers: [3] 3,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 44:[2, 55, 22], Operations: ['34-12=22'] Exploring Operation: 22/2=11, Resulting Numbers: [55, 11] Generated Node #0,2,0: 44:[55, 11] Operation: 22/2=11 Exploring Operation: 55-2=53, Resulting Numbers: [22, 53] Generated Node #0,2,1: 44:[22, 53] Operation: 55-2=53 Exploring Operation: 55-22=33, Resulting Numbers: [2, 33] Generated Node #0,2,2: 44:[2, 33] Operation: 55-22=33 Exploring Operation: 2*22=44, Resulting Numbers: [55, 44] Generated Node #0,2,3: 44:[55, 44] Operation: 2*22=44 Moving to Node #0,1 Current State: 44:[34, 2, 43], Operations: ['55-12=43'] Exploring Operation: 43-34=9, Resulting Numbers: [2, 9] Generated Node #0,1,0: 44:[2, 9] Operation: 43-34=9 Exploring Operation: 34/2=17, Resulting Numbers: [43, 17] Generated Node #0,1,1: 44:[43, 17] Operation: 34/2=17 Exploring Operation: 34-2=32, Resulting Numbers: [43, 32] Generated Node #0,1,2: 44:[43, 32] Operation: 34-2=32 Exploring Operation: 34+2=36, Resulting Numbers: [43, 36] Generated Node #0,1,3: 44:[43, 36] Operation: 34+2=36 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 44:[2, 9], Operations: ['55-12=43', '43-34=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,44 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,44 unequal: No Solution Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 44:[43, 17], Operations: ['55-12=43', '34/2=17'] Exploring Operation: 43*17=731, Resulting Numbers: [731] 731,44 unequal: No Solution Exploring Operation: 43+17=60, Resulting Numbers: [60] 60,44 unequal: No Solution Exploring Operation: 43-17=26, Resulting Numbers: [26] 26,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 44:[43, 36], Operations: ['55-12=43', '34+2=36'] Exploring Operation: 43*36=1548, Resulting Numbers: [1548] 1548,44 unequal: No Solution Exploring Operation: 43+36=79, Resulting Numbers: [79] 79,44 unequal: No Solution Exploring Operation: 43-36=7, Resulting Numbers: [7] 7,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 44:[43, 32], Operations: ['55-12=43', '34-2=32'] Exploring Operation: 43+32=75, Resulting Numbers: [75] 75,44 unequal: No Solution Exploring Operation: 43*32=1376, Resulting Numbers: [1376] 1376,44 unequal: No Solution Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,44 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 44:[2, 55, 46], Operations: ['12+34=46'] Exploring Operation: 46-2=44, Resulting Numbers: [55, 44] Generated Node #0,3,0: 44:[55, 44] Operation: 46-2=44 Exploring Operation: 55-2=53, Resulting Numbers: [46, 53] Generated Node #0,3,1: 44:[46, 53] Operation: 55-2=53 Exploring Operation: 55-46=9, Resulting Numbers: [2, 9] Generated Node #0,3,2: 44:[2, 9] Operation: 55-46=9 Exploring Operation: 46/2=23, Resulting Numbers: [55, 23] Generated Node #0,3,3: 44:[55, 23] Operation: 46/2=23 Moving to Node #0,3,2 Current State: 44:[2, 9], Operations: ['12+34=46', '55-46=9'] Exploring Operation: 2+9=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,44 unequal: No Solution Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,44 unequal: No Solution Moving to Node #0,2,1 Current State: 44:[22, 53], Operations: ['34-12=22', '55-2=53'] Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,44 unequal: No Solution Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,44 unequal: No Solution Exploring Operation: 22*53=1166, Resulting Numbers: [1166] 1166,44 unequal: No Solution Moving to Node #0,2,2 Current State: 44:[2, 33], Operations: ['34-12=22', '55-22=33'] Exploring Operation: 2+33=35, Resulting Numbers: [35] 35,44 unequal: No Solution Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,44 unequal: No Solution Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,44 unequal: No Solution Moving to Node #0,3,0 Current State: 44:[55, 44], Operations: ['12+34=46', '46-2=44'] Exploring Operation: 55-44=11, Resulting Numbers: [11] 11,44 unequal: No Solution Exploring Operation: 55+44=99, Resulting Numbers: [99] 99,44 unequal: No Solution Exploring Operation: 55*44=2420, Resulting Numbers: [2420] 2420,44 unequal: No Solution Moving to Node #0,3,1 Current State: 44:[46, 53], Operations: ['12+34=46', '55-2=53'] Exploring Operation: 46*53=2438, Resulting Numbers: [2438] 2438,44 unequal: No Solution Exploring Operation: 46+53=99, Resulting Numbers: [99] 99,44 unequal: No Solution Exploring Operation: 53-46=7, Resulting Numbers: [7] 7,44 unequal: No Solution Moving to Node #0,2,0 Current State: 44:[55, 11], Operations: ['34-12=22', '22/2=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached Moving to Node #0 Current State: 44:[12, 34, 2, 55], Operations: [] Exploring Operation: 34-12=22, Resulting Numbers: [2, 55, 22] Generated Node #0,2: 44:[2, 55, 22] Operation: 34-12=22 Moving to Node #0,2 Current State: 44:[2, 55, 22], Operations: ['34-12=22'] Exploring Operation: 22/2=11, Resulting Numbers: [55, 11] Generated Node #0,2,0: 44:[55, 11] Operation: 22/2=11 Moving to Node #0,2,0 Current State: 44:[55, 11], Operations: ['34-12=22', '22/2=11'] Exploring Operation: 55-11=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
0.944444
hs_4
sum_heuristic
[ 83, 8, 2, 21 ]
87
[ "83-2=81", "8*21=168", "168-81=87" ]
Current State: 87:[83, 8, 2, 21], Operations: [] Exploring Operation: 83-2=81, Resulting Numbers: [8, 21, 81] Generated Node #2: [8, 21, 81] from Operation: 83-2=81 Current State: 87:[8, 21, 81], Operations: ['83-2=81'] Exploring Operation: 8*21=168, Resulting Numbers: [81, 168] Generated Node #3: [81, 168] from Operation: 8*21=168 Current State: 87:[81, 168], Operations: ['83-2=81', '8*21=168'] Exploring Operation: 168-81=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[83, 8, 2, 21], Operations: [] Exploring Operation: 8+21=29, Resulting Numbers: [83, 2, 29] Generated Node #0,0: 87:[83, 2, 29] Operation: 8+21=29 Exploring Operation: 83+8=91, Resulting Numbers: [2, 21, 91] Generated Node #0,1: 87:[2, 21, 91] Operation: 83+8=91 Start Sub Search at level 1: Moving to Node #0,0 Current State: 87:[83, 2, 29], Operations: ['8+21=29'] Exploring Operation: 83-2=81, Resulting Numbers: [29, 81] Generated Node #0,0,0: 87:[29, 81] Operation: 83-2=81 Exploring Operation: 83+2=85, Resulting Numbers: [29, 85] Generated Node #0,0,1: 87:[29, 85] Operation: 83+2=85 Moving to Node #0,0,1 Current State: 87:[29, 85], Operations: ['8+21=29', '83+2=85'] Exploring Operation: 29+85=114, Resulting Numbers: [114] 114,87 unequal: No Solution Exploring Operation: 85-29=56, Resulting Numbers: [56] 56,87 unequal: No Solution Moving to Node #0,0,0 Current State: 87:[29, 81], Operations: ['8+21=29', '83-2=81'] Exploring Operation: 81-29=52, Resulting Numbers: [52] 52,87 unequal: No Solution Exploring Operation: 29+81=110, Resulting Numbers: [110] 110,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 87:[2, 21, 91], Operations: ['83+8=91'] Exploring Operation: 2+21=23, Resulting Numbers: [91, 23] Generated Node #0,1,0: 87:[91, 23] Operation: 2+21=23 Exploring Operation: 91-2=89, Resulting Numbers: [21, 89] Generated Node #0,1,1: 87:[21, 89] Operation: 91-2=89 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 87:[91, 23], Operations: ['83+8=91', '2+21=23'] Exploring Operation: 91+23=114, Resulting Numbers: [114] 114,87 unequal: No Solution Exploring Operation: 91-23=68, Resulting Numbers: [68] 68,87 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 87:[21, 89], Operations: ['83+8=91', '91-2=89'] Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,87 unequal: No Solution Exploring Operation: 21+89=110, Resulting Numbers: [110] 110,87 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 20, 38, 71, 39 ]
51
[ "71-20=51", "39-38=1", "51*1=51" ]
Current State: 51:[20, 38, 71, 39], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [38, 39, 51] Generated Node #2: [38, 39, 51] from Operation: 71-20=51 Current State: 51:[38, 39, 51], Operations: ['71-20=51'] Exploring Operation: 39-38=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 39-38=1 Current State: 51:[51, 1], Operations: ['71-20=51', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[20, 38, 71, 39], Operations: [] Exploring Operation: 71-38=33, Resulting Numbers: [20, 39, 33] Generated Node #0,0: 51:[20, 39, 33] Operation: 71-38=33 Exploring Operation: 71-20=51, Resulting Numbers: [38, 39, 51] Generated Node #0,1: 51:[38, 39, 51] Operation: 71-20=51 Exploring Operation: 71-39=32, Resulting Numbers: [20, 38, 32] Generated Node #0,2: 51:[20, 38, 32] Operation: 71-39=32 Exploring Operation: 39-38=1, Resulting Numbers: [20, 71, 1] Generated Node #0,3: 51:[20, 71, 1] Operation: 39-38=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[38, 39, 51], Operations: ['71-20=51'] Exploring Operation: 51-39=12, Resulting Numbers: [38, 12] Generated Node #0,1,0: 51:[38, 12] Operation: 51-39=12 Exploring Operation: 38+39=77, Resulting Numbers: [51, 77] Generated Node #0,1,1: 51:[51, 77] Operation: 38+39=77 Exploring Operation: 39-38=1, Resulting Numbers: [51, 1] Generated Node #0,1,2: 51:[51, 1] Operation: 39-38=1 Exploring Operation: 51-38=13, Resulting Numbers: [39, 13] Generated Node #0,1,3: 51:[39, 13] Operation: 51-38=13 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 51:[51, 1], Operations: ['71-20=51', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[20, 38, 71, 39], Operations: [] Exploring Operation: 71-20=51, Resulting Numbers: [38, 39, 51] Generated Node #0,1: 51:[38, 39, 51] Operation: 71-20=51 Moving to Node #0,1 Current State: 51:[38, 39, 51], Operations: ['71-20=51'] Exploring Operation: 39-38=1, Resulting Numbers: [51, 1] Generated Node #0,1,2: 51:[51, 1] Operation: 39-38=1 Moving to Node #0,1,2 Current State: 51:[51, 1], Operations: ['71-20=51', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
sum_heuristic
[ 81, 7, 83, 94 ]
85
[ "81-7=74", "94-83=11", "74+11=85" ]
Current State: 85:[81, 7, 83, 94], Operations: [] Exploring Operation: 81-7=74, Resulting Numbers: [83, 94, 74] Generated Node #2: [83, 94, 74] from Operation: 81-7=74 Current State: 85:[83, 94, 74], Operations: ['81-7=74'] Exploring Operation: 94-83=11, Resulting Numbers: [74, 11] Generated Node #3: [74, 11] from Operation: 94-83=11 Current State: 85:[74, 11], Operations: ['81-7=74', '94-83=11'] Exploring Operation: 74+11=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[81, 7, 83, 94], Operations: [] Exploring Operation: 94-81=13, Resulting Numbers: [7, 83, 13] Generated Node #0,0: 85:[7, 83, 13] Operation: 94-81=13 Exploring Operation: 94-7=87, Resulting Numbers: [81, 83, 87] Generated Node #0,1: 85:[81, 83, 87] Operation: 94-7=87 Moving to Node #0,0 Current State: 85:[7, 83, 13], Operations: ['94-81=13'] Exploring Operation: 13-7=6, Resulting Numbers: [83, 6] Generated Node #0,0,0: 85:[83, 6] Operation: 13-7=6 Exploring Operation: 7+13=20, Resulting Numbers: [83, 20] Generated Node #0,0,1: 85:[83, 20] Operation: 7+13=20 Moving to Node #0,1 Current State: 85:[81, 83, 87], Operations: ['94-7=87'] Exploring Operation: 87-81=6, Resulting Numbers: [83, 6] Generated Node #0,1,0: 85:[83, 6] Operation: 87-81=6 Exploring Operation: 83-81=2, Resulting Numbers: [87, 2] Generated Node #0,1,1: 85:[87, 2] Operation: 83-81=2 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 85:[83, 6], Operations: ['94-7=87', '87-81=6'] Exploring Operation: 83+6=89, Resulting Numbers: [89] 89,85 unequal: No Solution Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 85:[87, 2], Operations: ['94-7=87', '83-81=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[81, 7, 83, 94], Operations: [] Exploring Operation: 94-7=87, Resulting Numbers: [81, 83, 87] Generated Node #0,1: 85:[81, 83, 87] Operation: 94-7=87 Moving to Node #0,1 Current State: 85:[81, 83, 87], Operations: ['94-7=87'] Exploring Operation: 83-81=2, Resulting Numbers: [87, 2] Generated Node #0,1,1: 85:[87, 2] Operation: 83-81=2 Moving to Node #0,1,1 Current State: 85:[87, 2], Operations: ['94-7=87', '83-81=2'] Exploring Operation: 87-2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_2
mult_heuristic
[ 4, 15, 64, 27 ]
48
[ "15-4=11", "64-27=37", "11+37=48" ]
Current State: 48:[4, 15, 64, 27], Operations: [] Exploring Operation: 15-4=11, Resulting Numbers: [64, 27, 11] Generated Node #2: [64, 27, 11] from Operation: 15-4=11 Current State: 48:[64, 27, 11], Operations: ['15-4=11'] Exploring Operation: 64-27=37, Resulting Numbers: [11, 37] Generated Node #3: [11, 37] from Operation: 64-27=37 Current State: 48:[11, 37], Operations: ['15-4=11', '64-27=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[4, 15, 64, 27], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [4, 15, 37] Generated Node #0,0: 48:[4, 15, 37] Operation: 64-27=37 Exploring Operation: 64-15=49, Resulting Numbers: [4, 27, 49] Generated Node #0,1: 48:[4, 27, 49] Operation: 64-15=49 Exploring Operation: 64/4=16, Resulting Numbers: [15, 27, 16] Generated Node #0,2: 48:[15, 27, 16] Operation: 64/4=16 Start Sub Search at level 1: Moving to Node #0,1 Current State: 48:[4, 27, 49], Operations: ['64-15=49'] Exploring Operation: 49-4=45, Resulting Numbers: [27, 45] Generated Node #0,1,0: 48:[27, 45] Operation: 49-4=45 Exploring Operation: 27-4=23, Resulting Numbers: [49, 23] Generated Node #0,1,1: 48:[49, 23] Operation: 27-4=23 Exploring Operation: 49-27=22, Resulting Numbers: [4, 22] Generated Node #0,1,2: 48:[4, 22] Operation: 49-27=22 Moving to Node #0,1,1 Current State: 48:[49, 23], Operations: ['64-15=49', '27-4=23'] Exploring Operation: 49+23=72, Resulting Numbers: [72] 72,48 unequal: No Solution Exploring Operation: 49*23=1127, Resulting Numbers: [1127] 1127,48 unequal: No Solution Exploring Operation: 49-23=26, Resulting Numbers: [26] 26,48 unequal: No Solution Moving to Node #0,1,2 Current State: 48:[4, 22], Operations: ['64-15=49', '49-27=22'] Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,48 unequal: No Solution Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,48 unequal: No Solution Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,48 unequal: No Solution Moving to Node #0,1,0 Current State: 48:[27, 45], Operations: ['64-15=49', '49-4=45'] Exploring Operation: 27*45=1215, Resulting Numbers: [1215] 1215,48 unequal: No Solution Exploring Operation: 45-27=18, Resulting Numbers: [18] 18,48 unequal: No Solution Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 48:[15, 27, 16], Operations: ['64/4=16'] Exploring Operation: 27-15=12, Resulting Numbers: [16, 12] Generated Node #0,2,0: 48:[16, 12] Operation: 27-15=12 Exploring Operation: 16-15=1, Resulting Numbers: [27, 1] Generated Node #0,2,1: 48:[27, 1] Operation: 16-15=1 Exploring Operation: 27-16=11, Resulting Numbers: [15, 11] Generated Node #0,2,2: 48:[15, 11] Operation: 27-16=11 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 48:[16, 12], Operations: ['64/4=16', '27-15=12'] Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,48 unequal: No Solution Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,48 unequal: No Solution Exploring Operation: 16*12=192, Resulting Numbers: [192] 192,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 48:[15, 11], Operations: ['64/4=16', '27-16=11'] Exploring Operation: 15+11=26, Resulting Numbers: [26] 26,48 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,48 unequal: No Solution Exploring Operation: 15*11=165, Resulting Numbers: [165] 165,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 48:[27, 1], Operations: ['64/4=16', '16-15=1'] Exploring Operation: 27/1=27, Resulting Numbers: [27] 27,48 unequal: No Solution Exploring Operation: 27*1=27, Resulting Numbers: [27] 27,48 unequal: No Solution Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 48:[4, 15, 37], Operations: ['64-27=37'] Exploring Operation: 37-15=22, Resulting Numbers: [4, 22] Generated Node #0,0,0: 48:[4, 22] Operation: 37-15=22 Exploring Operation: 4+37=41, Resulting Numbers: [15, 41] Generated Node #0,0,1: 48:[15, 41] Operation: 4+37=41 Exploring Operation: 15+37=52, Resulting Numbers: [4, 52] Generated Node #0,0,2: 48:[4, 52] Operation: 15+37=52 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 48:[4, 22], Operations: ['64-27=37', '37-15=22'] Exploring Operation: 22-4=18, Resulting Numbers: [18] 18,48 unequal: No Solution Exploring Operation: 4*22=88, Resulting Numbers: [88] 88,48 unequal: No Solution Exploring Operation: 4+22=26, Resulting Numbers: [26] 26,48 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 48:[4, 52], Operations: ['64-27=37', '15+37=52'] Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,48 unequal: No Solution Exploring Operation: 4+52=56, Resulting Numbers: [56] 56,48 unequal: No Solution Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[4, 15, 64, 27], Operations: [] Exploring Operation: 64-27=37, Resulting Numbers: [4, 15, 37] Generated Node #0,0: 48:[4, 15, 37] Operation: 64-27=37 Moving to Node #0,0 Current State: 48:[4, 15, 37], Operations: ['64-27=37'] Exploring Operation: 15+37=52, Resulting Numbers: [4, 52] Generated Node #0,0,2: 48:[4, 52] Operation: 15+37=52 Moving to Node #0,0,2 Current State: 48:[4, 52], Operations: ['64-27=37', '15+37=52'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.965278
hs_3
sum_heuristic
[ 16, 79, 90, 85 ]
19
[ "16+79=95", "90-85=5", "95/5=19" ]
Current State: 19:[16, 79, 90, 85], Operations: [] Exploring Operation: 16+79=95, Resulting Numbers: [90, 85, 95] Generated Node #2: [90, 85, 95] from Operation: 16+79=95 Current State: 19:[90, 85, 95], Operations: ['16+79=95'] Exploring Operation: 90-85=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 90-85=5 Current State: 19:[95, 5], Operations: ['16+79=95', '90-85=5'] Exploring Operation: 95/5=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[16, 79, 90, 85], Operations: [] Exploring Operation: 79-16=63, Resulting Numbers: [90, 85, 63] Generated Node #0,0: 19:[90, 85, 63] Operation: 79-16=63 Exploring Operation: 90-79=11, Resulting Numbers: [16, 85, 11] Generated Node #0,1: 19:[16, 85, 11] Operation: 90-79=11 Exploring Operation: 90-85=5, Resulting Numbers: [16, 79, 5] Generated Node #0,2: 19:[16, 79, 5] Operation: 90-85=5 Exploring Operation: 85-79=6, Resulting Numbers: [16, 90, 6] Generated Node #0,3: 19:[16, 90, 6] Operation: 85-79=6 Moving to Node #0,1 Current State: 19:[16, 85, 11], Operations: ['90-79=11'] Exploring Operation: 85-16=69, Resulting Numbers: [11, 69] Generated Node #0,1,0: 19:[11, 69] Operation: 85-16=69 Exploring Operation: 16-11=5, Resulting Numbers: [85, 5] Generated Node #0,1,1: 19:[85, 5] Operation: 16-11=5 Exploring Operation: 16+11=27, Resulting Numbers: [85, 27] Generated Node #0,1,2: 19:[85, 27] Operation: 16+11=27 Exploring Operation: 85-11=74, Resulting Numbers: [16, 74] Generated Node #0,1,3: 19:[16, 74] Operation: 85-11=74 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 19:[11, 69], Operations: ['90-79=11', '85-16=69'] Exploring Operation: 69-11=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 11*69=759, Resulting Numbers: [759] 759,19 unequal: No Solution Exploring Operation: 11+69=80, Resulting Numbers: [80] 80,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 19:[16, 74], Operations: ['90-79=11', '85-11=74'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 16+74=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 16*74=1184, Resulting Numbers: [1184] 1184,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 19:[85, 27], Operations: ['90-79=11', '16+11=27'] Exploring Operation: 85+27=112, Resulting Numbers: [112] 112,19 unequal: No Solution Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 85*27=2295, Resulting Numbers: [2295] 2295,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 19:[85, 5], Operations: ['90-79=11', '16-11=5'] Exploring Operation: 85+5=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,19 unequal: No Solution Exploring Operation: 85*5=425, Resulting Numbers: [425] 425,19 unequal: No Solution Exploring Operation: 85-5=80, Resulting Numbers: [80] 80,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 19:[16, 79, 5], Operations: ['90-85=5'] Exploring Operation: 79-5=74, Resulting Numbers: [16, 74] Generated Node #0,2,0: 19:[16, 74] Operation: 79-5=74 Exploring Operation: 16-5=11, Resulting Numbers: [79, 11] Generated Node #0,2,1: 19:[79, 11] Operation: 16-5=11 Exploring Operation: 16+5=21, Resulting Numbers: [79, 21] Generated Node #0,2,2: 19:[79, 21] Operation: 16+5=21 Exploring Operation: 79-16=63, Resulting Numbers: [5, 63] Generated Node #0,2,3: 19:[5, 63] Operation: 79-16=63 Moving to Node #0,3 Current State: 19:[16, 90, 6], Operations: ['85-79=6'] Exploring Operation: 90/6=15, Resulting Numbers: [16, 15] Generated Node #0,3,0: 19:[16, 15] Operation: 90/6=15 Exploring Operation: 90-16=74, Resulting Numbers: [6, 74] Generated Node #0,3,1: 19:[6, 74] Operation: 90-16=74 Exploring Operation: 90-6=84, Resulting Numbers: [16, 84] Generated Node #0,3,2: 19:[16, 84] Operation: 90-6=84 Exploring Operation: 16+6=22, Resulting Numbers: [90, 22] Generated Node #0,3,3: 19:[90, 22] Operation: 16+6=22 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 19:[16, 15], Operations: ['85-79=6', '90/6=15'] Exploring Operation: 16-15=1, Resulting Numbers: [1] 1,19 unequal: No Solution Exploring Operation: 16+15=31, Resulting Numbers: [31] 31,19 unequal: No Solution Exploring Operation: 16*15=240, Resulting Numbers: [240] 240,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 19:[6, 74], Operations: ['85-79=6', '90-16=74'] Exploring Operation: 6*74=444, Resulting Numbers: [444] 444,19 unequal: No Solution Exploring Operation: 6+74=80, Resulting Numbers: [80] 80,19 unequal: No Solution Exploring Operation: 74-6=68, Resulting Numbers: [68] 68,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 19:[16, 84], Operations: ['85-79=6', '90-6=84'] Exploring Operation: 16*84=1344, Resulting Numbers: [1344] 1344,19 unequal: No Solution Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,19 unequal: No Solution Exploring Operation: 16+84=100, Resulting Numbers: [100] 100,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 19:[90, 22], Operations: ['85-79=6', '16+6=22'] Exploring Operation: 90+22=112, Resulting Numbers: [112] 112,19 unequal: No Solution Exploring Operation: 90*22=1980, Resulting Numbers: [1980] 1980,19 unequal: No Solution Exploring Operation: 90-22=68, Resulting Numbers: [68] 68,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 19:[90, 85, 63], Operations: ['79-16=63'] Exploring Operation: 90-63=27, Resulting Numbers: [85, 27] Generated Node #0,0,0: 19:[85, 27] Operation: 90-63=27 Exploring Operation: 90+85=175, Resulting Numbers: [63, 175] Generated Node #0,0,1: 19:[63, 175] Operation: 90+85=175 Exploring Operation: 85-63=22, Resulting Numbers: [90, 22] Generated Node #0,0,2: 19:[90, 22] Operation: 85-63=22 Exploring Operation: 90-85=5, Resulting Numbers: [63, 5] Generated Node #0,0,3: 19:[63, 5] Operation: 90-85=5 Moving to Node #0,2,0 Current State: 19:[16, 74], Operations: ['90-85=5', '79-5=74'] Exploring Operation: 16+74=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 16*74=1184, Resulting Numbers: [1184] 1184,19 unequal: No Solution Moving to Node #0,2,3 Current State: 19:[5, 63], Operations: ['90-85=5', '79-16=63'] Exploring Operation: 5*63=315, Resulting Numbers: [315] 315,19 unequal: No Solution Exploring Operation: 5+63=68, Resulting Numbers: [68] 68,19 unequal: No Solution Exploring Operation: 63-5=58, Resulting Numbers: [58] 58,19 unequal: No Solution Moving to Node #0,0,3 Current State: 19:[63, 5], Operations: ['79-16=63', '90-85=5'] Exploring Operation: 63-5=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 63+5=68, Resulting Numbers: [68] 68,19 unequal: No Solution Exploring Operation: 63*5=315, Resulting Numbers: [315] 315,19 unequal: No Solution Moving to Node #0,2,2 Current State: 19:[79, 21], Operations: ['90-85=5', '16+5=21'] Exploring Operation: 79*21=1659, Resulting Numbers: [1659] 1659,19 unequal: No Solution Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,19 unequal: No Solution Exploring Operation: 79-21=58, Resulting Numbers: [58] 58,19 unequal: No Solution Moving to Node #0,2,1 Current State: 19:[79, 11], Operations: ['90-85=5', '16-5=11'] Exploring Operation: 79*11=869, Resulting Numbers: [869] 869,19 unequal: No Solution Exploring Operation: 79+11=90, Resulting Numbers: [90] 90,19 unequal: No Solution Exploring Operation: 79-11=68, Resulting Numbers: [68] 68,19 unequal: No Solution Moving to Node #0,0,0 Current State: 19:[85, 27], Operations: ['79-16=63', '90-63=27'] Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,19 unequal: No Solution Exploring Operation: 85+27=112, Resulting Numbers: [112] 112,19 unequal: No Solution Exploring Operation: 85*27=2295, Resulting Numbers: [2295] 2295,19 unequal: No Solution Moving to Node #0,0,2 Current State: 19:[90, 22], Operations: ['79-16=63', '85-63=22'] Exploring Operation: 90*22=1980, Resulting Numbers: [1980] 1980,19 unequal: No Solution Exploring Operation: 90-22=68, Resulting Numbers: [68] 68,19 unequal: No Solution Exploring Operation: 90+22=112, Resulting Numbers: [112] 112,19 unequal: No Solution Moving to Node #0,0,1 Current State: 19:[63, 175], Operations: ['79-16=63', '90+85=175'] Exploring Operation: 63+175=238, Resulting Numbers: [238] 238,19 unequal: No Solution Exploring Operation: 63*175=11025, Resulting Numbers: [11025] 11025,19 unequal: No Solution Exploring Operation: 175-63=112, Resulting Numbers: [112] 112,19 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 68, 47, 63, 53 ]
11
[ "68-47=21", "63-53=10", "21-10=11" ]
Current State: 11:[68, 47, 63, 53], Operations: [] Exploring Operation: 68-47=21, Resulting Numbers: [63, 53, 21] Generated Node #2: [63, 53, 21] from Operation: 68-47=21 Current State: 11:[63, 53, 21], Operations: ['68-47=21'] Exploring Operation: 63-53=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 63-53=10 Current State: 11:[21, 10], Operations: ['68-47=21', '63-53=10'] Exploring Operation: 21-10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[68, 47, 63, 53], Operations: [] Exploring Operation: 63-53=10, Resulting Numbers: [68, 47, 10] Generated Node #0,0: 11:[68, 47, 10] Operation: 63-53=10 Exploring Operation: 68-53=15, Resulting Numbers: [47, 63, 15] Generated Node #0,1: 11:[47, 63, 15] Operation: 68-53=15 Exploring Operation: 68-63=5, Resulting Numbers: [47, 53, 5] Generated Node #0,2: 11:[47, 53, 5] Operation: 68-63=5 Start Sub Search at level 1: Moving to Node #0,2 Current State: 11:[47, 53, 5], Operations: ['68-63=5'] Exploring Operation: 47-5=42, Resulting Numbers: [53, 42] Generated Node #0,2,0: 11:[53, 42] Operation: 47-5=42 Exploring Operation: 53-5=48, Resulting Numbers: [47, 48] Generated Node #0,2,1: 11:[47, 48] Operation: 53-5=48 Exploring Operation: 53-47=6, Resulting Numbers: [5, 6] Generated Node #0,2,2: 11:[5, 6] Operation: 53-47=6 Moving to Node #0,2,2 Current State: 11:[5, 6], Operations: ['68-63=5', '53-47=6'] Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,11 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,11 unequal: No Solution Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[68, 47, 63, 53], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [47, 53, 5] Generated Node #0,2: 11:[47, 53, 5] Operation: 68-63=5 Moving to Node #0,2 Current State: 11:[47, 53, 5], Operations: ['68-63=5'] Exploring Operation: 53-47=6, Resulting Numbers: [5, 6] Generated Node #0,2,2: 11:[5, 6] Operation: 53-47=6 Moving to Node #0,2,2 Current State: 11:[5, 6], Operations: ['68-63=5', '53-47=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 3, 36, 4, 9 ]
52
[ "3+36=39", "4+9=13", "39+13=52" ]
Current State: 52:[3, 36, 4, 9], Operations: [] Exploring Operation: 3+36=39, Resulting Numbers: [4, 9, 39] Generated Node #2: [4, 9, 39] from Operation: 3+36=39 Current State: 52:[4, 9, 39], Operations: ['3+36=39'] Exploring Operation: 4+9=13, Resulting Numbers: [39, 13] Generated Node #3: [39, 13] from Operation: 4+9=13 Current State: 52:[39, 13], Operations: ['3+36=39', '4+9=13'] Exploring Operation: 39+13=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[3, 36, 4, 9], Operations: [] Exploring Operation: 36/4=9, Resulting Numbers: [3, 9, 9] Generated Node #0,0: 52:[3, 9, 9] Operation: 36/4=9 Exploring Operation: 36+9=45, Resulting Numbers: [3, 4, 45] Generated Node #0,1: 52:[3, 4, 45] Operation: 36+9=45 Exploring Operation: 36/9=4, Resulting Numbers: [3, 4, 4] Generated Node #0,2: 52:[3, 4, 4] Operation: 36/9=4 Exploring Operation: 36-9=27, Resulting Numbers: [3, 4, 27] Generated Node #0,3: 52:[3, 4, 27] Operation: 36-9=27 Exploring Operation: 36/3=12, Resulting Numbers: [4, 9, 12] Generated Node #0,4: 52:[4, 9, 12] Operation: 36/3=12 Moving to Node #0,2 Current State: 52:[3, 4, 4], Operations: ['36/9=4'] Exploring Operation: 3*4=12, Resulting Numbers: [4, 12] Generated Node #0,2,0: 52:[4, 12] Operation: 3*4=12 Exploring Operation: 4/4=1, Resulting Numbers: [3, 1] Generated Node #0,2,1: 52:[3, 1] Operation: 4/4=1 Exploring Operation: 4-3=1, Resulting Numbers: [4, 1] Generated Node #0,2,2: 52:[4, 1] Operation: 4-3=1 Exploring Operation: 4-3=1, Resulting Numbers: [4, 1] Generated Node #0,2,3: 52:[4, 1] Operation: 4-3=1 Exploring Operation: 3*4=12, Resulting Numbers: [4, 12] Generated Node #0,2,4: 52:[4, 12] Operation: 3*4=12 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 52:[4, 12], Operations: ['36/9=4', '3*4=12'] Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,52 unequal: No Solution Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,52 unequal: No Solution Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 52:[4, 1], Operations: ['36/9=4', '4-3=1'] Exploring Operation: 4*1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,52 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 52:[4, 1], Operations: ['36/9=4', '4-3=1'] Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 4+1=5, Resulting Numbers: [5] 5,52 unequal: No Solution Exploring Operation: 4*1=4, Resulting Numbers: [4] 4,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 52:[4, 12], Operations: ['36/9=4', '3*4=12'] Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 4*12=48, Resulting Numbers: [48] 48,52 unequal: No Solution Exploring Operation: 4+12=16, Resulting Numbers: [16] 16,52 unequal: No Solution Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 52:[3, 1], Operations: ['36/9=4', '4/4=1'] Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 52:[3, 4, 27], Operations: ['36-9=27'] Exploring Operation: 27-3=24, Resulting Numbers: [4, 24] Generated Node #0,3,0: 52:[4, 24] Operation: 27-3=24 Exploring Operation: 3+4=7, Resulting Numbers: [27, 7] Generated Node #0,3,1: 52:[27, 7] Operation: 3+4=7 Exploring Operation: 4-3=1, Resulting Numbers: [27, 1] Generated Node #0,3,2: 52:[27, 1] Operation: 4-3=1 Exploring Operation: 3+27=30, Resulting Numbers: [4, 30] Generated Node #0,3,3: 52:[4, 30] Operation: 3+27=30 Exploring Operation: 3*4=12, Resulting Numbers: [27, 12] Generated Node #0,3,4: 52:[27, 12] Operation: 3*4=12 Moving to Node #0,4 Current State: 52:[4, 9, 12], Operations: ['36/3=12'] Exploring Operation: 12-9=3, Resulting Numbers: [4, 3] Generated Node #0,4,0: 52:[4, 3] Operation: 12-9=3 Exploring Operation: 4+9=13, Resulting Numbers: [12, 13] Generated Node #0,4,1: 52:[12, 13] Operation: 4+9=13 Exploring Operation: 9+12=21, Resulting Numbers: [4, 21] Generated Node #0,4,2: 52:[4, 21] Operation: 9+12=21 Exploring Operation: 9-4=5, Resulting Numbers: [12, 5] Generated Node #0,4,3: 52:[12, 5] Operation: 9-4=5 Exploring Operation: 12/4=3, Resulting Numbers: [9, 3] Generated Node #0,4,4: 52:[9, 3] Operation: 12/4=3 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 52:[4, 3], Operations: ['36/3=12', '12-9=3'] Exploring Operation: 4*3=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 4+3=7, Resulting Numbers: [7] 7,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 52:[12, 13], Operations: ['36/3=12', '4+9=13'] Exploring Operation: 13-12=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 12+13=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 12*13=156, Resulting Numbers: [156] 156,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 52:[12, 5], Operations: ['36/3=12', '9-4=5'] Exploring Operation: 12-5=7, Resulting Numbers: [7] 7,52 unequal: No Solution Exploring Operation: 12+5=17, Resulting Numbers: [17] 17,52 unequal: No Solution Exploring Operation: 12*5=60, Resulting Numbers: [60] 60,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 52:[4, 21], Operations: ['36/3=12', '9+12=21'] Exploring Operation: 4*21=84, Resulting Numbers: [84] 84,52 unequal: No Solution Exploring Operation: 4+21=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 52:[9, 3], Operations: ['36/3=12', '12/4=3'] Exploring Operation: 9/3=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 9-3=6, Resulting Numbers: [6] 6,52 unequal: No Solution Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 9+3=12, Resulting Numbers: [12] 12,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 52:[3, 4, 45], Operations: ['36+9=45'] Exploring Operation: 4-3=1, Resulting Numbers: [45, 1] Generated Node #0,1,0: 52:[45, 1] Operation: 4-3=1 Exploring Operation: 3+45=48, Resulting Numbers: [4, 48] Generated Node #0,1,1: 52:[4, 48] Operation: 3+45=48 Exploring Operation: 4+45=49, Resulting Numbers: [3, 49] Generated Node #0,1,2: 52:[3, 49] Operation: 4+45=49 Exploring Operation: 45/3=15, Resulting Numbers: [4, 15] Generated Node #0,1,3: 52:[4, 15] Operation: 45/3=15 Exploring Operation: 3*4=12, Resulting Numbers: [45, 12] Generated Node #0,1,4: 52:[45, 12] Operation: 3*4=12 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 52:[4, 15], Operations: ['36+9=45', '45/3=15'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 4+15=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 4*15=60, Resulting Numbers: [60] 60,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 52:[4, 48], Operations: ['36+9=45', '3+45=48'] Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[3, 36, 4, 9], Operations: [] Exploring Operation: 36+9=45, Resulting Numbers: [3, 4, 45] Generated Node #0,1: 52:[3, 4, 45] Operation: 36+9=45 Moving to Node #0,1 Current State: 52:[3, 4, 45], Operations: ['36+9=45'] Exploring Operation: 3+45=48, Resulting Numbers: [4, 48] Generated Node #0,1,1: 52:[4, 48] Operation: 3+45=48 Moving to Node #0,1,1 Current State: 52:[4, 48], Operations: ['36+9=45', '3+45=48'] Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.940104
hs_5
sum_heuristic
[ 31, 28, 6, 47 ]
41
[ "31+47=78", "78/6=13", "28+13=41" ]
Current State: 41:[31, 28, 6, 47], Operations: [] Exploring Operation: 31+47=78, Resulting Numbers: [28, 6, 78] Generated Node #2: [28, 6, 78] from Operation: 31+47=78 Current State: 41:[28, 6, 78], Operations: ['31+47=78'] Exploring Operation: 78/6=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 78/6=13 Current State: 41:[28, 13], Operations: ['31+47=78', '78/6=13'] Exploring Operation: 28+13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[31, 28, 6, 47], Operations: [] Exploring Operation: 28+6=34, Resulting Numbers: [31, 47, 34] Generated Node #0,0: 41:[31, 47, 34] Operation: 28+6=34 Exploring Operation: 31+6=37, Resulting Numbers: [28, 47, 37] Generated Node #0,1: 41:[28, 47, 37] Operation: 31+6=37 Exploring Operation: 47-6=41, Resulting Numbers: [31, 28, 41] Generated Node #0,2: 41:[31, 28, 41] Operation: 47-6=41 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[31, 47, 34], Operations: ['28+6=34'] Exploring Operation: 31+34=65, Resulting Numbers: [47, 65] Generated Node #0,0,0: 41:[47, 65] Operation: 31+34=65 Exploring Operation: 47-31=16, Resulting Numbers: [34, 16] Generated Node #0,0,1: 41:[34, 16] Operation: 47-31=16 Exploring Operation: 47-34=13, Resulting Numbers: [31, 13] Generated Node #0,0,2: 41:[31, 13] Operation: 47-34=13 Moving to Node #0,0,0 Current State: 41:[47, 65], Operations: ['28+6=34', '31+34=65'] Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 47+65=112, Resulting Numbers: [112] 112,41 unequal: No Solution Exploring Operation: 47*65=3055, Resulting Numbers: [3055] 3055,41 unequal: No Solution Moving to Node #0,0,1 Current State: 41:[34, 16], Operations: ['28+6=34', '47-31=16'] Exploring Operation: 34+16=50, Resulting Numbers: [50] 50,41 unequal: No Solution Exploring Operation: 34-16=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 34*16=544, Resulting Numbers: [544] 544,41 unequal: No Solution Moving to Node #0,0,2 Current State: 41:[31, 13], Operations: ['28+6=34', '47-34=13'] Exploring Operation: 31*13=403, Resulting Numbers: [403] 403,41 unequal: No Solution Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 31+13=44, Resulting Numbers: [44] 44,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[28, 47, 37], Operations: ['31+6=37'] Exploring Operation: 28+37=65, Resulting Numbers: [47, 65] Generated Node #0,1,0: 41:[47, 65] Operation: 28+37=65 Exploring Operation: 47-28=19, Resulting Numbers: [37, 19] Generated Node #0,1,1: 41:[37, 19] Operation: 47-28=19 Exploring Operation: 28+47=75, Resulting Numbers: [37, 75] Generated Node #0,1,2: 41:[37, 75] Operation: 28+47=75 Moving to Node #0,1,1 Current State: 41:[37, 19], Operations: ['31+6=37', '47-28=19'] Exploring Operation: 37-19=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 37+19=56, Resulting Numbers: [56] 56,41 unequal: No Solution Exploring Operation: 37*19=703, Resulting Numbers: [703] 703,41 unequal: No Solution Moving to Node #0,1,0 Current State: 41:[47, 65], Operations: ['31+6=37', '28+37=65'] Exploring Operation: 47+65=112, Resulting Numbers: [112] 112,41 unequal: No Solution Exploring Operation: 47*65=3055, Resulting Numbers: [3055] 3055,41 unequal: No Solution Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,41 unequal: No Solution Moving to Node #0,1,2 Current State: 41:[37, 75], Operations: ['31+6=37', '28+47=75'] Exploring Operation: 75-37=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 37*75=2775, Resulting Numbers: [2775] 2775,41 unequal: No Solution Exploring Operation: 37+75=112, Resulting Numbers: [112] 112,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 41:[31, 28, 41], Operations: ['47-6=41'] Exploring Operation: 31-28=3, Resulting Numbers: [41, 3] Generated Node #0,2,0: 41:[41, 3] Operation: 31-28=3 Exploring Operation: 31+28=59, Resulting Numbers: [41, 59] Generated Node #0,2,1: 41:[41, 59] Operation: 31+28=59 Exploring Operation: 28+41=69, Resulting Numbers: [31, 69] Generated Node #0,2,2: 41:[31, 69] Operation: 28+41=69 Moving to Node #0,2,1 Current State: 41:[41, 59], Operations: ['47-6=41', '31+28=59'] Exploring Operation: 59-41=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,41 unequal: No Solution Exploring Operation: 41*59=2419, Resulting Numbers: [2419] 2419,41 unequal: No Solution Moving to Node #0,2,0 Current State: 41:[41, 3], Operations: ['47-6=41', '31-28=3'] Exploring Operation: 41*3=123, Resulting Numbers: [123] 123,41 unequal: No Solution Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,41 unequal: No Solution Moving to Node #0,2,2 Current State: 41:[31, 69], Operations: ['47-6=41', '28+41=69'] Exploring Operation: 31*69=2139, Resulting Numbers: [2139] 2139,41 unequal: No Solution Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 49, 29, 51, 45 ]
84
[ "49+29=78", "51-45=6", "78+6=84" ]
Current State: 84:[49, 29, 51, 45], Operations: [] Exploring Operation: 49+29=78, Resulting Numbers: [51, 45, 78] Generated Node #2: [51, 45, 78] from Operation: 49+29=78 Current State: 84:[51, 45, 78], Operations: ['49+29=78'] Exploring Operation: 51-45=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 51-45=6 Current State: 84:[78, 6], Operations: ['49+29=78', '51-45=6'] Exploring Operation: 78+6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[49, 29, 51, 45], Operations: [] Exploring Operation: 51-45=6, Resulting Numbers: [49, 29, 6] Generated Node #0,0: 84:[49, 29, 6] Operation: 51-45=6 Exploring Operation: 51-49=2, Resulting Numbers: [29, 45, 2] Generated Node #0,1: 84:[29, 45, 2] Operation: 51-49=2 Moving to Node #0,1 Current State: 84:[29, 45, 2], Operations: ['51-49=2'] Exploring Operation: 45-29=16, Resulting Numbers: [2, 16] Generated Node #0,1,0: 84:[2, 16] Operation: 45-29=16 Exploring Operation: 45-2=43, Resulting Numbers: [29, 43] Generated Node #0,1,1: 84:[29, 43] Operation: 45-2=43 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 84:[2, 16], Operations: ['51-49=2', '45-29=16'] Exploring Operation: 16/2=8, Resulting Numbers: [8] 8,84 unequal: No Solution Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 84:[29, 43], Operations: ['51-49=2', '45-2=43'] Exploring Operation: 29+43=72, Resulting Numbers: [72] 72,84 unequal: No Solution Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 84:[49, 29, 6], Operations: ['51-45=6'] Exploring Operation: 49-6=43, Resulting Numbers: [29, 43] Generated Node #0,0,0: 84:[29, 43] Operation: 49-6=43 Exploring Operation: 49-29=20, Resulting Numbers: [6, 20] Generated Node #0,0,1: 84:[6, 20] Operation: 49-29=20 Moving to Node #0,0,1 Current State: 84:[6, 20], Operations: ['51-45=6', '49-29=20'] Exploring Operation: 20-6=14, Resulting Numbers: [14] 14,84 unequal: No Solution Exploring Operation: 6+20=26, Resulting Numbers: [26] 26,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[29, 43], Operations: ['51-45=6', '49-6=43'] Exploring Operation: 29+43=72, Resulting Numbers: [72] 72,84 unequal: No Solution Exploring Operation: 43-29=14, Resulting Numbers: [14] 14,84 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 97, 96, 69, 61 ]
63
[ "97+96=193", "69+61=130", "193-130=63" ]
Current State: 63:[97, 96, 69, 61], Operations: [] Exploring Operation: 97+96=193, Resulting Numbers: [69, 61, 193] Generated Node #2: [69, 61, 193] from Operation: 97+96=193 Current State: 63:[69, 61, 193], Operations: ['97+96=193'] Exploring Operation: 69+61=130, Resulting Numbers: [193, 130] Generated Node #3: [193, 130] from Operation: 69+61=130 Current State: 63:[193, 130], Operations: ['97+96=193', '69+61=130'] Exploring Operation: 193-130=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[97, 96, 69, 61], Operations: [] Exploring Operation: 97-69=28, Resulting Numbers: [96, 61, 28] Generated Node #0,0: 63:[96, 61, 28] Operation: 97-69=28 Exploring Operation: 97-96=1, Resulting Numbers: [69, 61, 1] Generated Node #0,1: 63:[69, 61, 1] Operation: 97-96=1 Exploring Operation: 97-61=36, Resulting Numbers: [96, 69, 36] Generated Node #0,2: 63:[96, 69, 36] Operation: 97-61=36 Exploring Operation: 96-69=27, Resulting Numbers: [97, 61, 27] Generated Node #0,3: 63:[97, 61, 27] Operation: 96-69=27 Exploring Operation: 96-61=35, Resulting Numbers: [97, 69, 35] Generated Node #0,4: 63:[97, 69, 35] Operation: 96-61=35 Moving to Node #0,1 Current State: 63:[69, 61, 1], Operations: ['97-96=1'] Exploring Operation: 69*1=69, Resulting Numbers: [61, 69] Generated Node #0,1,0: 63:[61, 69] Operation: 69*1=69 Exploring Operation: 69-1=68, Resulting Numbers: [61, 68] Generated Node #0,1,1: 63:[61, 68] Operation: 69-1=68 Exploring Operation: 69/1=69, Resulting Numbers: [61, 69] Generated Node #0,1,2: 63:[61, 69] Operation: 69/1=69 Exploring Operation: 69-61=8, Resulting Numbers: [1, 8] Generated Node #0,1,3: 63:[1, 8] Operation: 69-61=8 Exploring Operation: 61+1=62, Resulting Numbers: [69, 62] Generated Node #0,1,4: 63:[69, 62] Operation: 61+1=62 Moving to Node #0,3 Current State: 63:[97, 61, 27], Operations: ['96-69=27'] Exploring Operation: 97+27=124, Resulting Numbers: [61, 124] Generated Node #0,3,0: 63:[61, 124] Operation: 97+27=124 Exploring Operation: 97-61=36, Resulting Numbers: [27, 36] Generated Node #0,3,1: 63:[27, 36] Operation: 97-61=36 Exploring Operation: 97-27=70, Resulting Numbers: [61, 70] Generated Node #0,3,2: 63:[61, 70] Operation: 97-27=70 Exploring Operation: 61-27=34, Resulting Numbers: [97, 34] Generated Node #0,3,3: 63:[97, 34] Operation: 61-27=34 Exploring Operation: 61+27=88, Resulting Numbers: [97, 88] Generated Node #0,3,4: 63:[97, 88] Operation: 61+27=88 Moving to Node #0,0 Current State: 63:[96, 61, 28], Operations: ['97-69=28'] Exploring Operation: 61-28=33, Resulting Numbers: [96, 33] Generated Node #0,0,0: 63:[96, 33] Operation: 61-28=33 Exploring Operation: 96+28=124, Resulting Numbers: [61, 124] Generated Node #0,0,1: 63:[61, 124] Operation: 96+28=124 Exploring Operation: 96-61=35, Resulting Numbers: [28, 35] Generated Node #0,0,2: 63:[28, 35] Operation: 96-61=35 Exploring Operation: 61+28=89, Resulting Numbers: [96, 89] Generated Node #0,0,3: 63:[96, 89] Operation: 61+28=89 Exploring Operation: 96-28=68, Resulting Numbers: [61, 68] Generated Node #0,0,4: 63:[61, 68] Operation: 96-28=68 Moving to Node #0,2 Current State: 63:[96, 69, 36], Operations: ['97-61=36'] Exploring Operation: 69-36=33, Resulting Numbers: [96, 33] Generated Node #0,2,0: 63:[96, 33] Operation: 69-36=33 Exploring Operation: 96-69=27, Resulting Numbers: [36, 27] Generated Node #0,2,1: 63:[36, 27] Operation: 96-69=27 Exploring Operation: 69+36=105, Resulting Numbers: [96, 105] Generated Node #0,2,2: 63:[96, 105] Operation: 69+36=105 Exploring Operation: 96+36=132, Resulting Numbers: [69, 132] Generated Node #0,2,3: 63:[69, 132] Operation: 96+36=132 Exploring Operation: 96-36=60, Resulting Numbers: [69, 60] Generated Node #0,2,4: 63:[69, 60] Operation: 96-36=60 Moving to Node #0,4 Current State: 63:[97, 69, 35], Operations: ['96-61=35'] Exploring Operation: 97-35=62, Resulting Numbers: [69, 62] Generated Node #0,4,0: 63:[69, 62] Operation: 97-35=62 Exploring Operation: 97+35=132, Resulting Numbers: [69, 132] Generated Node #0,4,1: 63:[69, 132] Operation: 97+35=132 Exploring Operation: 97-69=28, Resulting Numbers: [35, 28] Generated Node #0,4,2: 63:[35, 28] Operation: 97-69=28 Exploring Operation: 69-35=34, Resulting Numbers: [97, 34] Generated Node #0,4,3: 63:[97, 34] Operation: 69-35=34 Exploring Operation: 69+35=104, Resulting Numbers: [97, 104] Generated Node #0,4,4: 63:[97, 104] Operation: 69+35=104 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 63:[69, 62], Operations: ['96-61=35', '97-35=62'] Exploring Operation: 69+62=131, Resulting Numbers: [131] 131,63 unequal: No Solution Exploring Operation: 69*62=4278, Resulting Numbers: [4278] 4278,63 unequal: No Solution Exploring Operation: 69-62=7, Resulting Numbers: [7] 7,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 63:[35, 28], Operations: ['96-61=35', '97-69=28'] Exploring Operation: 35-28=7, Resulting Numbers: [7] 7,63 unequal: No Solution Exploring Operation: 35*28=980, Resulting Numbers: [980] 980,63 unequal: No Solution Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Moving to Node #0 Current State: 63:[97, 96, 69, 61], Operations: [] Exploring Operation: 96-61=35, Resulting Numbers: [97, 69, 35] Generated Node #0,4: 63:[97, 69, 35] Operation: 96-61=35 Moving to Node #0,4 Current State: 63:[97, 69, 35], Operations: ['96-61=35'] Exploring Operation: 97-69=28, Resulting Numbers: [35, 28] Generated Node #0,4,2: 63:[35, 28] Operation: 97-69=28 Moving to Node #0,4,2 Current State: 63:[35, 28], Operations: ['96-61=35', '97-69=28'] Exploring Operation: 35+28=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Exit Sub Search at level 1
0.965278
hs_5
mult_heuristic
[ 59, 46, 94, 45 ]
35
[ "94-59=35", "46-45=1", "35*1=35" ]
Current State: 35:[59, 46, 94, 45], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [46, 45, 35] Generated Node #2: [46, 45, 35] from Operation: 94-59=35 Current State: 35:[46, 45, 35], Operations: ['94-59=35'] Exploring Operation: 46-45=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 46-45=1 Current State: 35:[35, 1], Operations: ['94-59=35', '46-45=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[59, 46, 94, 45], Operations: [] Exploring Operation: 94-45=49, Resulting Numbers: [59, 46, 49] Generated Node #0,0: 35:[59, 46, 49] Operation: 94-45=49 Exploring Operation: 59-46=13, Resulting Numbers: [94, 45, 13] Generated Node #0,1: 35:[94, 45, 13] Operation: 59-46=13 Exploring Operation: 94-46=48, Resulting Numbers: [59, 45, 48] Generated Node #0,2: 35:[59, 45, 48] Operation: 94-46=48 Exploring Operation: 94-59=35, Resulting Numbers: [46, 45, 35] Generated Node #0,3: 35:[46, 45, 35] Operation: 94-59=35 Start Sub Search at level 1: Moving to Node #0,3 Current State: 35:[46, 45, 35], Operations: ['94-59=35'] Exploring Operation: 46-35=11, Resulting Numbers: [45, 11] Generated Node #0,3,0: 35:[45, 11] Operation: 46-35=11 Exploring Operation: 46-45=1, Resulting Numbers: [35, 1] Generated Node #0,3,1: 35:[35, 1] Operation: 46-45=1 Exploring Operation: 46+45=91, Resulting Numbers: [35, 91] Generated Node #0,3,2: 35:[35, 91] Operation: 46+45=91 Exploring Operation: 45-35=10, Resulting Numbers: [46, 10] Generated Node #0,3,3: 35:[46, 10] Operation: 45-35=10 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 35:[35, 1], Operations: ['94-59=35', '46-45=1'] Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Moving to Node #0 Current State: 35:[59, 46, 94, 45], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [46, 45, 35] Generated Node #0,3: 35:[46, 45, 35] Operation: 94-59=35 Moving to Node #0,3 Current State: 35:[46, 45, 35], Operations: ['94-59=35'] Exploring Operation: 46-45=1, Resulting Numbers: [35, 1] Generated Node #0,3,1: 35:[35, 1] Operation: 46-45=1 Moving to Node #0,3,1 Current State: 35:[35, 1], Operations: ['94-59=35', '46-45=1'] Exploring Operation: 35/1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 89, 99, 7, 15 ]
83
[ "89+99=188", "7*15=105", "188-105=83" ]
Current State: 83:[89, 99, 7, 15], Operations: [] Exploring Operation: 89+99=188, Resulting Numbers: [7, 15, 188] Generated Node #2: [7, 15, 188] from Operation: 89+99=188 Current State: 83:[7, 15, 188], Operations: ['89+99=188'] Exploring Operation: 7*15=105, Resulting Numbers: [188, 105] Generated Node #3: [188, 105] from Operation: 7*15=105 Current State: 83:[188, 105], Operations: ['89+99=188', '7*15=105'] Exploring Operation: 188-105=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[89, 99, 7, 15], Operations: [] Exploring Operation: 7*15=105, Resulting Numbers: [89, 99, 105] Generated Node #0,0: 83:[89, 99, 105] Operation: 7*15=105 Exploring Operation: 99-7=92, Resulting Numbers: [89, 15, 92] Generated Node #0,1: 83:[89, 15, 92] Operation: 99-7=92 Exploring Operation: 99-15=84, Resulting Numbers: [89, 7, 84] Generated Node #0,2: 83:[89, 7, 84] Operation: 99-15=84 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[89, 99, 105], Operations: ['7*15=105'] Exploring Operation: 105-89=16, Resulting Numbers: [99, 16] Generated Node #0,0,0: 83:[99, 16] Operation: 105-89=16 Exploring Operation: 105-99=6, Resulting Numbers: [89, 6] Generated Node #0,0,1: 83:[89, 6] Operation: 105-99=6 Exploring Operation: 99-89=10, Resulting Numbers: [105, 10] Generated Node #0,0,2: 83:[105, 10] Operation: 99-89=10 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[99, 16], Operations: ['7*15=105', '105-89=16'] Exploring Operation: 99+16=115, Resulting Numbers: [115] 115,83 unequal: No Solution Exploring Operation: 99*16=1584, Resulting Numbers: [1584] 1584,83 unequal: No Solution Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Moving to Node #0 Current State: 83:[89, 99, 7, 15], Operations: [] Exploring Operation: 7*15=105, Resulting Numbers: [89, 99, 105] Generated Node #0,0: 83:[89, 99, 105] Operation: 7*15=105 Moving to Node #0,0 Current State: 83:[89, 99, 105], Operations: ['7*15=105'] Exploring Operation: 105-89=16, Resulting Numbers: [99, 16] Generated Node #0,0,0: 83:[99, 16] Operation: 105-89=16 Moving to Node #0,0,0 Current State: 83:[99, 16], Operations: ['7*15=105', '105-89=16'] Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_3
sum_heuristic
[ 14, 27, 56, 71 ]
94
[ "56/14=4", "27+71=98", "98-4=94" ]
Current State: 94:[14, 27, 56, 71], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [27, 71, 4] Generated Node #2: [27, 71, 4] from Operation: 56/14=4 Current State: 94:[27, 71, 4], Operations: ['56/14=4'] Exploring Operation: 27+71=98, Resulting Numbers: [4, 98] Generated Node #3: [4, 98] from Operation: 27+71=98 Current State: 94:[4, 98], Operations: ['56/14=4', '27+71=98'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[14, 27, 56, 71], Operations: [] Exploring Operation: 71-27=44, Resulting Numbers: [14, 56, 44] Generated Node #0,0: 94:[14, 56, 44] Operation: 71-27=44 Exploring Operation: 27+71=98, Resulting Numbers: [14, 56, 98] Generated Node #0,1: 94:[14, 56, 98] Operation: 27+71=98 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[14, 56, 44], Operations: ['71-27=44'] Exploring Operation: 56/14=4, Resulting Numbers: [44, 4] Generated Node #0,0,0: 94:[44, 4] Operation: 56/14=4 Exploring Operation: 56-14=42, Resulting Numbers: [44, 42] Generated Node #0,0,1: 94:[44, 42] Operation: 56-14=42 Moving to Node #0,0,0 Current State: 94:[44, 4], Operations: ['71-27=44', '56/14=4'] Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,94 unequal: No Solution Exploring Operation: 44+4=48, Resulting Numbers: [48] 48,94 unequal: No Solution Moving to Node #0,0,1 Current State: 94:[44, 42], Operations: ['71-27=44', '56-14=42'] Exploring Operation: 44-42=2, Resulting Numbers: [2] 2,94 unequal: No Solution Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 94:[14, 56, 98], Operations: ['27+71=98'] Exploring Operation: 56-14=42, Resulting Numbers: [98, 42] Generated Node #0,1,0: 94:[98, 42] Operation: 56-14=42 Exploring Operation: 56/14=4, Resulting Numbers: [98, 4] Generated Node #0,1,1: 94:[98, 4] Operation: 56/14=4 Moving to Node #0,1,1 Current State: 94:[98, 4], Operations: ['27+71=98', '56/14=4'] Exploring Operation: 98+4=102, Resulting Numbers: [102] 102,94 unequal: No Solution Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Moving to Node #0 Current State: 94:[14, 27, 56, 71], Operations: [] Exploring Operation: 27+71=98, Resulting Numbers: [14, 56, 98] Generated Node #0,1: 94:[14, 56, 98] Operation: 27+71=98 Moving to Node #0,1 Current State: 94:[14, 56, 98], Operations: ['27+71=98'] Exploring Operation: 56/14=4, Resulting Numbers: [98, 4] Generated Node #0,1,1: 94:[98, 4] Operation: 56/14=4 Moving to Node #0,1,1 Current State: 94:[98, 4], Operations: ['27+71=98', '56/14=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic