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
[ 52, 52, 95, 83 ]
83
[ "52-52=0", "95*0=0", "83+0=83" ]
Current State: 83:[52, 52, 95, 83], Operations: [] Exploring Operation: 52-52=0, Resulting Numbers: [95, 83, 0] Generated Node #2: [95, 83, 0] from Operation: 52-52=0 Current State: 83:[95, 83, 0], Operations: ['52-52=0'] Exploring Operation: 95*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 95*0=0 Current State: 83:[83, 0], Operations: ['52-52=0', '95*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[52, 52, 95, 83], Operations: [] Exploring Operation: 52+52=104, Resulting Numbers: [95, 83, 104] Generated Node #0,0: 83:[95, 83, 104] Operation: 52+52=104 Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[95, 83, 104], Operations: ['52+52=104'] Exploring Operation: 104-95=9, Resulting Numbers: [83, 9] Generated Node #0,0,0: 83:[83, 9] Operation: 104-95=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[83, 9], Operations: ['52+52=104', '104-95=9'] Exploring Operation: 83+9=92, Resulting Numbers: [92] 92,83 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_1
sum_heuristic
[ 60, 93, 2, 63 ]
99
[ "63-60=3", "2*3=6", "93+6=99" ]
Current State: 99:[60, 93, 2, 63], Operations: [] Exploring Operation: 63-60=3, Resulting Numbers: [93, 2, 3] Generated Node #2: [93, 2, 3] from Operation: 63-60=3 Current State: 99:[93, 2, 3], Operations: ['63-60=3'] Exploring Operation: 2*3=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 2*3=6 Current State: 99:[93, 6], Operations: ['63-60=3', '2*3=6'] Exploring Operation: 93+6=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[60, 93, 2, 63], Operations: [] Exploring Operation: 93-60=33, Resulting Numbers: [2, 63, 33] Generated Node #0,0: 99:[2, 63, 33] Operation: 93-60=33 Exploring Operation: 60+63=123, Resulting Numbers: [93, 2, 123] Generated Node #0,1: 99:[93, 2, 123] Operation: 60+63=123 Exploring Operation: 63-60=3, Resulting Numbers: [93, 2, 3] Generated Node #0,2: 99:[93, 2, 3] Operation: 63-60=3 Moving to Node #0,2 Current State: 99:[93, 2, 3], Operations: ['63-60=3'] Exploring Operation: 93/3=31, Resulting Numbers: [2, 31] Generated Node #0,2,0: 99:[2, 31] Operation: 93/3=31 Exploring Operation: 93+3=96, Resulting Numbers: [2, 96] Generated Node #0,2,1: 99:[2, 96] Operation: 93+3=96 Exploring Operation: 93+2=95, Resulting Numbers: [3, 95] Generated Node #0,2,2: 99:[3, 95] Operation: 93+2=95 Moving to Node #0,0 Current State: 99:[2, 63, 33], Operations: ['93-60=33'] Exploring Operation: 2*63=126, Resulting Numbers: [33, 126] Generated Node #0,0,0: 99:[33, 126] Operation: 2*63=126 Exploring Operation: 63+33=96, Resulting Numbers: [2, 96] Generated Node #0,0,1: 99:[2, 96] Operation: 63+33=96 Exploring Operation: 63-33=30, Resulting Numbers: [2, 30] Generated Node #0,0,2: 99:[2, 30] Operation: 63-33=30 Moving to Node #0,1 Current State: 99:[93, 2, 123], Operations: ['60+63=123'] Exploring Operation: 123-93=30, Resulting Numbers: [2, 30] Generated Node #0,1,0: 99:[2, 30] Operation: 123-93=30 Exploring Operation: 93+2=95, Resulting Numbers: [123, 95] Generated Node #0,1,1: 99:[123, 95] Operation: 93+2=95 Exploring Operation: 123-2=121, Resulting Numbers: [93, 121] Generated Node #0,1,2: 99:[93, 121] Operation: 123-2=121 Moving to Node #0,2,0 Current State: 99:[2, 31], Operations: ['63-60=3', '93/3=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,99 unequal: No Solution Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,99 unequal: No Solution Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,99 unequal: No Solution Moving to Node #0,2,2 Current State: 99:[3, 95], Operations: ['63-60=3', '93+2=95'] Exploring Operation: 3*95=285, Resulting Numbers: [285] 285,99 unequal: No Solution Exploring Operation: 95-3=92, Resulting Numbers: [92] 92,99 unequal: No Solution Exploring Operation: 3+95=98, Resulting Numbers: [98] 98,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[2, 30], Operations: ['60+63=123', '123-93=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,99 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,99 unequal: No Solution Moving to Node #0,2,1 Current State: 99:[2, 96], Operations: ['63-60=3', '93+3=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,99 unequal: No Solution Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,99 unequal: No Solution Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,99 unequal: No Solution Moving to Node #0,0,2 Current State: 99:[2, 30], Operations: ['93-60=33', '63-33=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,99 unequal: No Solution Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 2+30=32, Resulting Numbers: [32] 32,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[2, 96], Operations: ['93-60=33', '63+33=96'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,99 unequal: No Solution Exploring Operation: 2+96=98, Resulting Numbers: [98] 98,99 unequal: No Solution Exploring Operation: 96/2=48, Resulting Numbers: [48] 48,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[33, 126], Operations: ['93-60=33', '2*63=126'] Exploring Operation: 33*126=4158, Resulting Numbers: [4158] 4158,99 unequal: No Solution Exploring Operation: 33+126=159, Resulting Numbers: [159] 159,99 unequal: No Solution Exploring Operation: 126-33=93, Resulting Numbers: [93] 93,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[123, 95], Operations: ['60+63=123', '93+2=95'] Exploring Operation: 123-95=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 123*95=11685, Resulting Numbers: [11685] 11685,99 unequal: No Solution Exploring Operation: 123+95=218, Resulting Numbers: [218] 218,99 unequal: No Solution Moving to Node #0,1,2 Current State: 99:[93, 121], Operations: ['60+63=123', '123-2=121'] Exploring Operation: 93+121=214, Resulting Numbers: [214] 214,99 unequal: No Solution Exploring Operation: 121-93=28, Resulting Numbers: [28] 28,99 unequal: No Solution Exploring Operation: 93*121=11253, Resulting Numbers: [11253] 11253,99 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 73, 12, 60, 3 ]
81
[ "73-12=61", "60/3=20", "61+20=81" ]
Current State: 81:[73, 12, 60, 3], Operations: [] Exploring Operation: 73-12=61, Resulting Numbers: [60, 3, 61] Generated Node #2: [60, 3, 61] from Operation: 73-12=61 Current State: 81:[60, 3, 61], Operations: ['73-12=61'] Exploring Operation: 60/3=20, Resulting Numbers: [61, 20] Generated Node #3: [61, 20] from Operation: 60/3=20 Current State: 81:[61, 20], Operations: ['73-12=61', '60/3=20'] Exploring Operation: 61+20=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[73, 12, 60, 3], Operations: [] Exploring Operation: 12+60=72, Resulting Numbers: [73, 3, 72] Generated Node #0,0: 81:[73, 3, 72] Operation: 12+60=72 Exploring Operation: 60/12=5, Resulting Numbers: [73, 3, 5] Generated Node #0,1: 81:[73, 3, 5] Operation: 60/12=5 Exploring Operation: 73-60=13, Resulting Numbers: [12, 3, 13] Generated Node #0,2: 81:[12, 3, 13] Operation: 73-60=13 Exploring Operation: 60/3=20, Resulting Numbers: [73, 12, 20] Generated Node #0,3: 81:[73, 12, 20] Operation: 60/3=20 Moving to Node #0,2 Current State: 81:[12, 3, 13], Operations: ['73-60=13'] Exploring Operation: 12-3=9, Resulting Numbers: [13, 9] Generated Node #0,2,0: 81:[13, 9] Operation: 12-3=9 Exploring Operation: 13-3=10, Resulting Numbers: [12, 10] Generated Node #0,2,1: 81:[12, 10] Operation: 13-3=10 Exploring Operation: 12+13=25, Resulting Numbers: [3, 25] Generated Node #0,2,2: 81:[3, 25] Operation: 12+13=25 Exploring Operation: 13-12=1, Resulting Numbers: [3, 1] Generated Node #0,2,3: 81:[3, 1] Operation: 13-12=1 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 81:[3, 25], Operations: ['73-60=13', '12+13=25'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,81 unequal: No Solution Exploring Operation: 3+25=28, Resulting Numbers: [28] 28,81 unequal: No Solution Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,81 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 #0,2,3 Current State: 81:[3, 1], Operations: ['73-60=13', '13-12=1'] Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,81 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,81 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,81 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 #0,2,0 Current State: 81:[13, 9], Operations: ['73-60=13', '12-3=9'] Exploring Operation: 13*9=117, Resulting Numbers: [117] 117,81 unequal: No Solution Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,81 unequal: No Solution Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,81 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 #0,2,1 Current State: 81:[12, 10], Operations: ['73-60=13', '13-3=10'] Exploring Operation: 12*10=120, Resulting Numbers: [120] 120,81 unequal: No Solution Exploring Operation: 12-10=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 12+10=22, Resulting Numbers: [22] 22,81 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:[73, 3, 5], Operations: ['60/12=5'] Exploring Operation: 73+3=76, Resulting Numbers: [5, 76] Generated Node #0,1,0: 81:[5, 76] Operation: 73+3=76 Exploring Operation: 5-3=2, Resulting Numbers: [73, 2] Generated Node #0,1,1: 81:[73, 2] Operation: 5-3=2 Exploring Operation: 73+5=78, Resulting Numbers: [3, 78] Generated Node #0,1,2: 81:[3, 78] Operation: 73+5=78 Exploring Operation: 3+5=8, Resulting Numbers: [73, 8] Generated Node #0,1,3: 81:[73, 8] Operation: 3+5=8 Moving to Node #0,0 Current State: 81:[73, 3, 72], Operations: ['12+60=72'] Exploring Operation: 72/3=24, Resulting Numbers: [73, 24] Generated Node #0,0,0: 81:[73, 24] Operation: 72/3=24 Exploring Operation: 73+3=76, Resulting Numbers: [72, 76] Generated Node #0,0,1: 81:[72, 76] Operation: 73+3=76 Exploring Operation: 73-72=1, Resulting Numbers: [3, 1] Generated Node #0,0,2: 81:[3, 1] Operation: 73-72=1 Exploring Operation: 3+72=75, Resulting Numbers: [73, 75] Generated Node #0,0,3: 81:[73, 75] Operation: 3+72=75 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 81:[3, 1], Operations: ['12+60=72', '73-72=1'] Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,81 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,81 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,81 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 #0,0,0 Current State: 81:[73, 24], Operations: ['12+60=72', '72/3=24'] Exploring Operation: 73+24=97, Resulting Numbers: [97] 97,81 unequal: No Solution Exploring Operation: 73*24=1752, Resulting Numbers: [1752] 1752,81 unequal: No Solution Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,81 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:[72, 76], Operations: ['12+60=72', '73+3=76'] Exploring Operation: 72+76=148, Resulting Numbers: [148] 148,81 unequal: No Solution Exploring Operation: 72*76=5472, Resulting Numbers: [5472] 5472,81 unequal: No Solution Exploring Operation: 76-72=4, Resulting Numbers: [4] 4,81 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 #0,0,3 Current State: 81:[73, 75], Operations: ['12+60=72', '3+72=75'] Exploring Operation: 73*75=5475, Resulting Numbers: [5475] 5475,81 unequal: No Solution Exploring Operation: 75-73=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 73+75=148, Resulting Numbers: [148] 148,81 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: 81:[73, 12, 20], Operations: ['60/3=20'] Exploring Operation: 12+20=32, Resulting Numbers: [73, 32] Generated Node #0,3,0: 81:[73, 32] Operation: 12+20=32 Exploring Operation: 73+20=93, Resulting Numbers: [12, 93] Generated Node #0,3,1: 81:[12, 93] Operation: 73+20=93 Exploring Operation: 20-12=8, Resulting Numbers: [73, 8] Generated Node #0,3,2: 81:[73, 8] Operation: 20-12=8 Exploring Operation: 73+12=85, Resulting Numbers: [20, 85] Generated Node #0,3,3: 81:[20, 85] Operation: 73+12=85 Moving to Node #0,1,2 Current State: 81:[3, 78], Operations: ['60/12=5', '73+5=78'] Exploring Operation: 3*78=234, Resulting Numbers: [234] 234,81 unequal: No Solution Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[73, 12, 60, 3], Operations: [] Exploring Operation: 60/12=5, Resulting Numbers: [73, 3, 5] Generated Node #0,1: 81:[73, 3, 5] Operation: 60/12=5 Moving to Node #0,1 Current State: 81:[73, 3, 5], Operations: ['60/12=5'] Exploring Operation: 73+5=78, Resulting Numbers: [3, 78] Generated Node #0,1,2: 81:[3, 78] Operation: 73+5=78 Moving to Node #0,1,2 Current State: 81:[3, 78], Operations: ['60/12=5', '73+5=78'] Exploring Operation: 3+78=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
0.954861
hs_4
sum_heuristic
[ 67, 9, 7, 63 ]
43
[ "67-63=4", "9*4=36", "7+36=43" ]
Current State: 43:[67, 9, 7, 63], Operations: [] Exploring Operation: 67-63=4, Resulting Numbers: [9, 7, 4] Generated Node #2: [9, 7, 4] from Operation: 67-63=4 Current State: 43:[9, 7, 4], Operations: ['67-63=4'] Exploring Operation: 9*4=36, Resulting Numbers: [7, 36] Generated Node #3: [7, 36] from Operation: 9*4=36 Current State: 43:[7, 36], Operations: ['67-63=4', '9*4=36'] Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[67, 9, 7, 63], Operations: [] Exploring Operation: 9*7=63, Resulting Numbers: [67, 63, 63] Generated Node #0,0: 43:[67, 63, 63] Operation: 9*7=63 Exploring Operation: 67-9=58, Resulting Numbers: [7, 63, 58] Generated Node #0,1: 43:[7, 63, 58] Operation: 67-9=58 Exploring Operation: 67-7=60, Resulting Numbers: [9, 63, 60] Generated Node #0,2: 43:[9, 63, 60] Operation: 67-7=60 Moving to Node #0,0 Current State: 43:[67, 63, 63], Operations: ['9*7=63'] Exploring Operation: 63/63=1, Resulting Numbers: [67, 1] Generated Node #0,0,0: 43:[67, 1] Operation: 63/63=1 Exploring Operation: 67-63=4, Resulting Numbers: [63, 4] Generated Node #0,0,1: 43:[63, 4] Operation: 67-63=4 Exploring Operation: 67-63=4, Resulting Numbers: [63, 4] Generated Node #0,0,2: 43:[63, 4] Operation: 67-63=4 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 43:[63, 4], Operations: ['9*7=63', '67-63=4'] Exploring Operation: 63*4=252, Resulting Numbers: [252] 252,43 unequal: No Solution Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,43 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,43 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: 43:[63, 4], Operations: ['9*7=63', '67-63=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,43 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,43 unequal: No Solution Exploring Operation: 63*4=252, Resulting Numbers: [252] 252,43 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: 43:[67, 1], Operations: ['9*7=63', '63/63=1'] Exploring Operation: 67-1=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,43 unequal: No Solution Exploring Operation: 67/1=67, Resulting Numbers: [67] 67,43 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: 43:[7, 63, 58], Operations: ['67-9=58'] Exploring Operation: 7+63=70, Resulting Numbers: [58, 70] Generated Node #0,1,0: 43:[58, 70] Operation: 7+63=70 Exploring Operation: 58-7=51, Resulting Numbers: [63, 51] Generated Node #0,1,1: 43:[63, 51] Operation: 58-7=51 Exploring Operation: 63-7=56, Resulting Numbers: [58, 56] Generated Node #0,1,2: 43:[58, 56] Operation: 63-7=56 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 43:[63, 51], Operations: ['67-9=58', '58-7=51'] Exploring Operation: 63+51=114, Resulting Numbers: [114] 114,43 unequal: No Solution Exploring Operation: 63-51=12, Resulting Numbers: [12] 12,43 unequal: No Solution Exploring Operation: 63*51=3213, Resulting Numbers: [3213] 3213,43 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: 43:[58, 56], Operations: ['67-9=58', '63-7=56'] Exploring Operation: 58+56=114, Resulting Numbers: [114] 114,43 unequal: No Solution Exploring Operation: 58*56=3248, Resulting Numbers: [3248] 3248,43 unequal: No Solution Exploring Operation: 58-56=2, Resulting Numbers: [2] 2,43 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: 43:[58, 70], Operations: ['67-9=58', '7+63=70'] Exploring Operation: 58+70=128, Resulting Numbers: [128] 128,43 unequal: No Solution Exploring Operation: 58*70=4060, Resulting Numbers: [4060] 4060,43 unequal: No Solution Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,43 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: 43:[9, 63, 60], Operations: ['67-7=60'] Exploring Operation: 63-9=54, Resulting Numbers: [60, 54] Generated Node #0,2,0: 43:[60, 54] Operation: 63-9=54 Exploring Operation: 60-9=51, Resulting Numbers: [63, 51] Generated Node #0,2,1: 43:[63, 51] Operation: 60-9=51 Exploring Operation: 9+63=72, Resulting Numbers: [60, 72] Generated Node #0,2,2: 43:[60, 72] Operation: 9+63=72 Moving to Node #0,2,0 Current State: 43:[60, 54], Operations: ['67-7=60', '63-9=54'] Exploring Operation: 60-54=6, Resulting Numbers: [6] 6,43 unequal: No Solution Exploring Operation: 60*54=3240, Resulting Numbers: [3240] 3240,43 unequal: No Solution Exploring Operation: 60+54=114, Resulting Numbers: [114] 114,43 unequal: No Solution Moving to Node #0,2,1 Current State: 43:[63, 51], Operations: ['67-7=60', '60-9=51'] Exploring Operation: 63*51=3213, Resulting Numbers: [3213] 3213,43 unequal: No Solution Exploring Operation: 63-51=12, Resulting Numbers: [12] 12,43 unequal: No Solution Exploring Operation: 63+51=114, Resulting Numbers: [114] 114,43 unequal: No Solution Moving to Node #0,2,2 Current State: 43:[60, 72], Operations: ['67-7=60', '9+63=72'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,43 unequal: No Solution Exploring Operation: 60+72=132, Resulting Numbers: [132] 132,43 unequal: No Solution Exploring Operation: 60*72=4320, Resulting Numbers: [4320] 4320,43 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 54, 42, 6, 38 ]
15
[ "54+6=60", "42-38=4", "60/4=15" ]
Current State: 15:[54, 42, 6, 38], Operations: [] Exploring Operation: 54+6=60, Resulting Numbers: [42, 38, 60] Generated Node #2: [42, 38, 60] from Operation: 54+6=60 Current State: 15:[42, 38, 60], Operations: ['54+6=60'] Exploring Operation: 42-38=4, Resulting Numbers: [60, 4] Generated Node #3: [60, 4] from Operation: 42-38=4 Current State: 15:[60, 4], Operations: ['54+6=60', '42-38=4'] Exploring Operation: 60/4=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[54, 42, 6, 38], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [6, 38, 12] Generated Node #0,0: 15:[6, 38, 12] Operation: 54-42=12 Exploring Operation: 42-38=4, Resulting Numbers: [54, 6, 4] Generated Node #0,1: 15:[54, 6, 4] Operation: 42-38=4 Exploring Operation: 54-38=16, Resulting Numbers: [42, 6, 16] Generated Node #0,2: 15:[42, 6, 16] Operation: 54-38=16 Start Sub Search at level 1: Moving to Node #0,0 Current State: 15:[6, 38, 12], Operations: ['54-42=12'] Exploring Operation: 38-12=26, Resulting Numbers: [6, 26] Generated Node #0,0,0: 15:[6, 26] Operation: 38-12=26 Exploring Operation: 12-6=6, Resulting Numbers: [38, 6] Generated Node #0,0,1: 15:[38, 6] Operation: 12-6=6 Exploring Operation: 38-6=32, Resulting Numbers: [12, 32] Generated Node #0,0,2: 15:[12, 32] Operation: 38-6=32 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 15:[6, 26], Operations: ['54-42=12', '38-12=26'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 6*26=156, Resulting Numbers: [156] 156,15 unequal: No Solution Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,15 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: 15:[12, 32], Operations: ['54-42=12', '38-6=32'] Exploring Operation: 12*32=384, Resulting Numbers: [384] 384,15 unequal: No Solution Exploring Operation: 12+32=44, Resulting Numbers: [44] 44,15 unequal: No Solution Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,15 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: 15:[38, 6], Operations: ['54-42=12', '12-6=6'] Exploring Operation: 38*6=228, Resulting Numbers: [228] 228,15 unequal: No Solution Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,15 unequal: No Solution Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,15 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: 15:[42, 6, 16], Operations: ['54-38=16'] Exploring Operation: 42-16=26, Resulting Numbers: [6, 26] Generated Node #0,2,0: 15:[6, 26] Operation: 42-16=26 Exploring Operation: 42-6=36, Resulting Numbers: [16, 36] Generated Node #0,2,1: 15:[16, 36] Operation: 42-6=36 Exploring Operation: 42/6=7, Resulting Numbers: [16, 7] Generated Node #0,2,2: 15:[16, 7] Operation: 42/6=7 Moving to Node #0,2,2 Current State: 15:[16, 7], Operations: ['54-38=16', '42/6=7'] Exploring Operation: 16+7=23, Resulting Numbers: [23] 23,15 unequal: No Solution Exploring Operation: 16*7=112, Resulting Numbers: [112] 112,15 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[6, 26], Operations: ['54-38=16', '42-16=26'] Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 6*26=156, Resulting Numbers: [156] 156,15 unequal: No Solution Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[16, 36], Operations: ['54-38=16', '42-6=36'] Exploring Operation: 36-16=20, Resulting Numbers: [20] 20,15 unequal: No Solution Exploring Operation: 16+36=52, Resulting Numbers: [52] 52,15 unequal: No Solution Exploring Operation: 16*36=576, Resulting Numbers: [576] 576,15 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 Current State: 15:[54, 6, 4], Operations: ['42-38=4'] Exploring Operation: 54-4=50, Resulting Numbers: [6, 50] Generated Node #0,1,0: 15:[6, 50] Operation: 54-4=50 Exploring Operation: 54-6=48, Resulting Numbers: [4, 48] Generated Node #0,1,1: 15:[4, 48] Operation: 54-6=48 Exploring Operation: 54/6=9, Resulting Numbers: [4, 9] Generated Node #0,1,2: 15:[4, 9] Operation: 54/6=9 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 15:[4, 9], Operations: ['42-38=4', '54/6=9'] Exploring Operation: 4*9=36, Resulting Numbers: [36] 36,15 unequal: No Solution Exploring Operation: 9-4=5, Resulting Numbers: [5] 5,15 unequal: No Solution Exploring Operation: 4+9=13, Resulting Numbers: [13] 13,15 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: 15:[4, 48], Operations: ['42-38=4', '54-6=48'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,15 unequal: No Solution Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,15 unequal: No Solution Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,15 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: 15:[6, 50], Operations: ['42-38=4', '54-4=50'] Exploring Operation: 6+50=56, Resulting Numbers: [56] 56,15 unequal: No Solution Exploring Operation: 6*50=300, Resulting Numbers: [300] 300,15 unequal: No Solution Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,15 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_3
mult_heuristic
[ 11, 89, 61, 56 ]
95
[ "11+89=100", "61-56=5", "100-5=95" ]
Current State: 95:[11, 89, 61, 56], Operations: [] Exploring Operation: 11+89=100, Resulting Numbers: [61, 56, 100] Generated Node #2: [61, 56, 100] from Operation: 11+89=100 Current State: 95:[61, 56, 100], Operations: ['11+89=100'] Exploring Operation: 61-56=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 61-56=5 Current State: 95:[100, 5], Operations: ['11+89=100', '61-56=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[11, 89, 61, 56], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [11, 89, 5] Generated Node #0,0: 95:[11, 89, 5] Operation: 61-56=5 Moving to Node #0,0 Current State: 95:[11, 89, 5], Operations: ['61-56=5'] Exploring Operation: 11+89=100, Resulting Numbers: [5, 100] Generated Node #0,0,0: 95:[5, 100] Operation: 11+89=100 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 95:[5, 100], Operations: ['61-56=5', '11+89=100'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[11, 89, 61, 56], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [11, 89, 5] Generated Node #0,0: 95:[11, 89, 5] Operation: 61-56=5 Moving to Node #0,0 Current State: 95:[11, 89, 5], Operations: ['61-56=5'] Exploring Operation: 11+89=100, Resulting Numbers: [5, 100] Generated Node #0,0,0: 95:[5, 100] Operation: 11+89=100 Moving to Node #0,0,0 Current State: 95:[5, 100], Operations: ['61-56=5', '11+89=100'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 78, 71, 82, 51 ]
26
[ "78*51=3978", "71+82=153", "3978/153=26" ]
Current State: 26:[78, 71, 82, 51], Operations: [] Exploring Operation: 78*51=3978, Resulting Numbers: [71, 82, 3978] Generated Node #2: [71, 82, 3978] from Operation: 78*51=3978 Current State: 26:[71, 82, 3978], Operations: ['78*51=3978'] Exploring Operation: 71+82=153, Resulting Numbers: [3978, 153] Generated Node #3: [3978, 153] from Operation: 71+82=153 Current State: 26:[3978, 153], Operations: ['78*51=3978', '71+82=153'] Exploring Operation: 3978/153=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[78, 71, 82, 51], Operations: [] Exploring Operation: 78-71=7, Resulting Numbers: [82, 51, 7] Generated Node #0,0: 26:[82, 51, 7] Operation: 78-71=7 Exploring Operation: 82-71=11, Resulting Numbers: [78, 51, 11] Generated Node #0,1: 26:[78, 51, 11] Operation: 82-71=11 Exploring Operation: 82-51=31, Resulting Numbers: [78, 71, 31] Generated Node #0,2: 26:[78, 71, 31] Operation: 82-51=31 Exploring Operation: 82-78=4, Resulting Numbers: [71, 51, 4] Generated Node #0,3: 26:[71, 51, 4] Operation: 82-78=4 Exploring Operation: 78-51=27, Resulting Numbers: [71, 82, 27] Generated Node #0,4: 26:[71, 82, 27] Operation: 78-51=27 Start Sub Search at level 1: Moving to Node #0,3 Current State: 26:[71, 51, 4], Operations: ['82-78=4'] Exploring Operation: 71+4=75, Resulting Numbers: [51, 75] Generated Node #0,3,0: 26:[51, 75] Operation: 71+4=75 Exploring Operation: 71-51=20, Resulting Numbers: [4, 20] Generated Node #0,3,1: 26:[4, 20] Operation: 71-51=20 Exploring Operation: 51-4=47, Resulting Numbers: [71, 47] Generated Node #0,3,2: 26:[71, 47] Operation: 51-4=47 Exploring Operation: 51+4=55, Resulting Numbers: [71, 55] Generated Node #0,3,3: 26:[71, 55] Operation: 51+4=55 Exploring Operation: 71-4=67, Resulting Numbers: [51, 67] Generated Node #0,3,4: 26:[51, 67] Operation: 71-4=67 Moving to Node #0,3,1 Current State: 26:[4, 20], Operations: ['82-78=4', '71-51=20'] Exploring Operation: 4*20=80, Resulting Numbers: [80] 80,26 unequal: No Solution Exploring Operation: 4+20=24, Resulting Numbers: [24] 24,26 unequal: No Solution Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,26 unequal: No Solution Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,26 unequal: No Solution Moving to Node #0,3,4 Current State: 26:[51, 67], Operations: ['82-78=4', '71-4=67'] Exploring Operation: 51+67=118, Resulting Numbers: [118] 118,26 unequal: No Solution Exploring Operation: 51*67=3417, Resulting Numbers: [3417] 3417,26 unequal: No Solution Exploring Operation: 67-51=16, Resulting Numbers: [16] 16,26 unequal: No Solution Moving to Node #0,3,2 Current State: 26:[71, 47], Operations: ['82-78=4', '51-4=47'] Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,26 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,26 unequal: No Solution Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,26 unequal: No Solution Moving to Node #0,3,0 Current State: 26:[51, 75], Operations: ['82-78=4', '71+4=75'] Exploring Operation: 51+75=126, Resulting Numbers: [126] 126,26 unequal: No Solution Exploring Operation: 51*75=3825, Resulting Numbers: [3825] 3825,26 unequal: No Solution Exploring Operation: 75-51=24, Resulting Numbers: [24] 24,26 unequal: No Solution Moving to Node #0,3,3 Current State: 26:[71, 55], Operations: ['82-78=4', '51+4=55'] Exploring Operation: 71+55=126, Resulting Numbers: [126] 126,26 unequal: No Solution Exploring Operation: 71-55=16, Resulting Numbers: [16] 16,26 unequal: No Solution Exploring Operation: 71*55=3905, Resulting Numbers: [3905] 3905,26 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:[78, 51, 11], Operations: ['82-71=11'] Exploring Operation: 78-11=67, Resulting Numbers: [51, 67] Generated Node #0,1,0: 26:[51, 67] Operation: 78-11=67 Exploring Operation: 78+11=89, Resulting Numbers: [51, 89] Generated Node #0,1,1: 26:[51, 89] Operation: 78+11=89 Exploring Operation: 51+11=62, Resulting Numbers: [78, 62] Generated Node #0,1,2: 26:[78, 62] Operation: 51+11=62 Exploring Operation: 51-11=40, Resulting Numbers: [78, 40] Generated Node #0,1,3: 26:[78, 40] Operation: 51-11=40 Exploring Operation: 78-51=27, Resulting Numbers: [11, 27] Generated Node #0,1,4: 26:[11, 27] Operation: 78-51=27 Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 26:[11, 27], Operations: ['82-71=11', '78-51=27'] Exploring Operation: 11+27=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,26 unequal: No Solution Exploring Operation: 11*27=297, Resulting Numbers: [297] 297,26 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:[51, 67], Operations: ['82-71=11', '78-11=67'] Exploring Operation: 51*67=3417, Resulting Numbers: [3417] 3417,26 unequal: No Solution Exploring Operation: 51+67=118, Resulting Numbers: [118] 118,26 unequal: No Solution Exploring Operation: 67-51=16, Resulting Numbers: [16] 16,26 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:[78, 40], Operations: ['82-71=11', '51-11=40'] Exploring Operation: 78*40=3120, Resulting Numbers: [3120] 3120,26 unequal: No Solution Exploring Operation: 78+40=118, Resulting Numbers: [118] 118,26 unequal: No Solution Exploring Operation: 78-40=38, Resulting Numbers: [38] 38,26 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, 89], Operations: ['82-71=11', '78+11=89'] Exploring Operation: 51*89=4539, Resulting Numbers: [4539] 4539,26 unequal: No Solution Exploring Operation: 51+89=140, Resulting Numbers: [140] 140,26 unequal: No Solution Exploring Operation: 89-51=38, Resulting Numbers: [38] 38,26 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 #0,1,2 Current State: 26:[78, 62], Operations: ['82-71=11', '51+11=62'] Exploring Operation: 78-62=16, Resulting Numbers: [16] 16,26 unequal: No Solution Exploring Operation: 78+62=140, Resulting Numbers: [140] 140,26 unequal: No Solution Exploring Operation: 78*62=4836, Resulting Numbers: [4836] 4836,26 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:[82, 51, 7], Operations: ['78-71=7'] Exploring Operation: 51-7=44, Resulting Numbers: [82, 44] Generated Node #0,0,0: 26:[82, 44] Operation: 51-7=44 Exploring Operation: 82-7=75, Resulting Numbers: [51, 75] Generated Node #0,0,1: 26:[51, 75] Operation: 82-7=75 Exploring Operation: 82-51=31, Resulting Numbers: [7, 31] Generated Node #0,0,2: 26:[7, 31] Operation: 82-51=31 Exploring Operation: 51+7=58, Resulting Numbers: [82, 58] Generated Node #0,0,3: 26:[82, 58] Operation: 51+7=58 Exploring Operation: 82+7=89, Resulting Numbers: [51, 89] Generated Node #0,0,4: 26:[51, 89] Operation: 82+7=89 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 26:[7, 31], Operations: ['78-71=7', '82-51=31'] Exploring Operation: 7+31=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 7*31=217, Resulting Numbers: [217] 217,26 unequal: No Solution Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,26 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 #0,0,0 Current State: 26:[82, 44], Operations: ['78-71=7', '51-7=44'] Exploring Operation: 82*44=3608, Resulting Numbers: [3608] 3608,26 unequal: No Solution Exploring Operation: 82-44=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 82+44=126, Resulting Numbers: [126] 126,26 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 #0,0,1 Current State: 26:[51, 75], Operations: ['78-71=7', '82-7=75'] Exploring Operation: 51*75=3825, Resulting Numbers: [3825] 3825,26 unequal: No Solution Exploring Operation: 51+75=126, Resulting Numbers: [126] 126,26 unequal: No Solution Exploring Operation: 75-51=24, Resulting Numbers: [24] 24,26 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 #0,0,3 Current State: 26:[82, 58], Operations: ['78-71=7', '51+7=58'] Exploring Operation: 82*58=4756, Resulting Numbers: [4756] 4756,26 unequal: No Solution Exploring Operation: 82+58=140, Resulting Numbers: [140] 140,26 unequal: No Solution Exploring Operation: 82-58=24, Resulting Numbers: [24] 24,26 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 #0,0,4 Current State: 26:[51, 89], Operations: ['78-71=7', '82+7=89'] Exploring Operation: 89-51=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 51+89=140, Resulting Numbers: [140] 140,26 unequal: No Solution Exploring Operation: 51*89=4539, Resulting Numbers: [4539] 4539,26 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 #0,2 Current State: 26:[78, 71, 31], Operations: ['82-51=31'] Exploring Operation: 78-71=7, Resulting Numbers: [31, 7] Generated Node #0,2,0: 26:[31, 7] Operation: 78-71=7 Exploring Operation: 71-31=40, Resulting Numbers: [78, 40] Generated Node #0,2,1: 26:[78, 40] Operation: 71-31=40 Exploring Operation: 78+31=109, Resulting Numbers: [71, 109] Generated Node #0,2,2: 26:[71, 109] Operation: 78+31=109 Exploring Operation: 78+71=149, Resulting Numbers: [31, 149] Generated Node #0,2,3: 26:[31, 149] Operation: 78+71=149 Exploring Operation: 78-31=47, Resulting Numbers: [71, 47] Generated Node #0,2,4: 26:[71, 47] Operation: 78-31=47 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 26:[31, 7], Operations: ['82-51=31', '78-71=7'] Exploring Operation: 31*7=217, Resulting Numbers: [217] 217,26 unequal: No Solution Exploring Operation: 31-7=24, Resulting Numbers: [24] 24,26 unequal: No Solution Exploring Operation: 31+7=38, Resulting Numbers: [38] 38,26 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 #0,2,1 Current State: 26:[78, 40], Operations: ['82-51=31', '71-31=40'] Exploring Operation: 78*40=3120, Resulting Numbers: [3120] 3120,26 unequal: No Solution Exploring Operation: 78-40=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 78+40=118, Resulting Numbers: [118] 118,26 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 #0,2,4 Current State: 26:[71, 47], Operations: ['82-51=31', '78-31=47'] Exploring Operation: 71+47=118, Resulting Numbers: [118] 118,26 unequal: No Solution Exploring Operation: 71-47=24, Resulting Numbers: [24] 24,26 unequal: No Solution Exploring Operation: 71*47=3337, Resulting Numbers: [3337] 3337,26 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 #0,2,2 Current State: 26:[71, 109], Operations: ['82-51=31', '78+31=109'] Exploring Operation: 109-71=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 71+109=180, Resulting Numbers: [180] 180,26 unequal: No Solution Exploring Operation: 71*109=7739, Resulting Numbers: [7739] 7739,26 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 #0,2,3 Current State: 26:[31, 149], Operations: ['82-51=31', '78+71=149'] Exploring Operation: 31*149=4619, Resulting Numbers: [4619] 4619,26 unequal: No Solution Exploring Operation: 31+149=180, Resulting Numbers: [180] 180,26 unequal: No Solution Exploring Operation: 149-31=118, Resulting Numbers: [118] 118,26 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:[71, 82, 27], Operations: ['78-51=27'] Exploring Operation: 71+82=153, Resulting Numbers: [27, 153] Generated Node #0,4,0: 26:[27, 153] Operation: 71+82=153 Exploring Operation: 71-27=44, Resulting Numbers: [82, 44] Generated Node #0,4,1: 26:[82, 44] Operation: 71-27=44 Exploring Operation: 71+27=98, Resulting Numbers: [82, 98] Generated Node #0,4,2: 26:[82, 98] Operation: 71+27=98 Exploring Operation: 82-27=55, Resulting Numbers: [71, 55] Generated Node #0,4,3: 26:[71, 55] Operation: 82-27=55 Exploring Operation: 82-71=11, Resulting Numbers: [27, 11] Generated Node #0,4,4: 26:[27, 11] Operation: 82-71=11 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 26:[27, 11], Operations: ['78-51=27', '82-71=11'] Exploring Operation: 27*11=297, Resulting Numbers: [297] 297,26 unequal: No Solution Exploring Operation: 27+11=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 27-11=16, Resulting Numbers: [16] 16,26 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 #0,4,1 Current State: 26:[82, 44], Operations: ['78-51=27', '71-27=44'] Exploring Operation: 82+44=126, Resulting Numbers: [126] 126,26 unequal: No Solution Exploring Operation: 82-44=38, Resulting Numbers: [38] 38,26 unequal: No Solution Exploring Operation: 82*44=3608, Resulting Numbers: [3608] 3608,26 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 #0,4,3 Current State: 26:[71, 55], Operations: ['78-51=27', '82-27=55'] Exploring Operation: 71*55=3905, Resulting Numbers: [3905] 3905,26 unequal: No Solution Exploring Operation: 71-55=16, Resulting Numbers: [16] 16,26 unequal: No Solution Exploring Operation: 71+55=126, Resulting Numbers: [126] 126,26 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 #0,4,0 Current State: 26:[27, 153], Operations: ['78-51=27', '71+82=153'] Exploring Operation: 27*153=4131, Resulting Numbers: [4131] 4131,26 unequal: No Solution Exploring Operation: 27+153=180, Resulting Numbers: [180] 180,26 unequal: No Solution Exploring Operation: 153-27=126, Resulting Numbers: [126] 126,26 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 #0,4,2 Current State: 26:[82, 98], Operations: ['78-51=27', '71+27=98'] Exploring Operation: 82+98=180, Resulting Numbers: [180] 180,26 unequal: No Solution Exploring Operation: 82*98=8036, Resulting Numbers: [8036] 8036,26 unequal: No Solution Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,26 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 No solution found.
0
hs_5
mult_heuristic
[ 93, 33, 87, 88 ]
78
[ "93-88=5", "33*5=165", "165-87=78" ]
Current State: 78:[93, 33, 87, 88], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [33, 87, 5] Generated Node #2: [33, 87, 5] from Operation: 93-88=5 Current State: 78:[33, 87, 5], Operations: ['93-88=5'] Exploring Operation: 33*5=165, Resulting Numbers: [87, 165] Generated Node #3: [87, 165] from Operation: 33*5=165 Current State: 78:[87, 165], Operations: ['93-88=5', '33*5=165'] Exploring Operation: 165-87=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[93, 33, 87, 88], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [33, 88, 6] Generated Node #0,0: 78:[33, 88, 6] Operation: 93-87=6 Exploring Operation: 93-88=5, Resulting Numbers: [33, 87, 5] Generated Node #0,1: 78:[33, 87, 5] Operation: 93-88=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[33, 88, 6], Operations: ['93-87=6'] Exploring Operation: 33+6=39, Resulting Numbers: [88, 39] Generated Node #0,0,0: 78:[88, 39] Operation: 33+6=39 Exploring Operation: 88-6=82, Resulting Numbers: [33, 82] Generated Node #0,0,1: 78:[33, 82] Operation: 88-6=82 Moving to Node #0,0,0 Current State: 78:[88, 39], Operations: ['93-87=6', '33+6=39'] Exploring Operation: 88-39=49, Resulting Numbers: [49] 49,78 unequal: No Solution Exploring Operation: 88+39=127, Resulting Numbers: [127] 127,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[33, 82], Operations: ['93-87=6', '88-6=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,78 unequal: No Solution Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,78 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: 78:[33, 87, 5], Operations: ['93-88=5'] Exploring Operation: 87-5=82, Resulting Numbers: [33, 82] Generated Node #0,1,0: 78:[33, 82] Operation: 87-5=82 Exploring Operation: 33+5=38, Resulting Numbers: [87, 38] Generated Node #0,1,1: 78:[87, 38] Operation: 33+5=38 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 78:[33, 82], Operations: ['93-88=5', '87-5=82'] Exploring Operation: 33+82=115, Resulting Numbers: [115] 115,78 unequal: No Solution Exploring Operation: 82-33=49, Resulting Numbers: [49] 49,78 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: 78:[87, 38], Operations: ['93-88=5', '33+5=38'] Exploring Operation: 87+38=125, Resulting Numbers: [125] 125,78 unequal: No Solution Exploring Operation: 87-38=49, Resulting Numbers: [49] 49,78 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
[ 32, 50, 8, 8 ]
100
[ "32*50=1600", "8+8=16", "1600/16=100" ]
Current State: 100:[32, 50, 8, 8], Operations: [] Exploring Operation: 32*50=1600, Resulting Numbers: [8, 8, 1600] Generated Node #2: [8, 8, 1600] from Operation: 32*50=1600 Current State: 100:[8, 8, 1600], Operations: ['32*50=1600'] Exploring Operation: 8+8=16, Resulting Numbers: [1600, 16] Generated Node #3: [1600, 16] from Operation: 8+8=16 Current State: 100:[1600, 16], Operations: ['32*50=1600', '8+8=16'] Exploring Operation: 1600/16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[32, 50, 8, 8], Operations: [] Exploring Operation: 32-8=24, Resulting Numbers: [50, 8, 24] Generated Node #0,0: 100:[50, 8, 24] Operation: 32-8=24 Exploring Operation: 32-8=24, Resulting Numbers: [50, 8, 24] Generated Node #0,1: 100:[50, 8, 24] Operation: 32-8=24 Exploring Operation: 32/8=4, Resulting Numbers: [50, 8, 4] Generated Node #0,2: 100:[50, 8, 4] Operation: 32/8=4 Exploring Operation: 32/8=4, Resulting Numbers: [50, 8, 4] Generated Node #0,3: 100:[50, 8, 4] Operation: 32/8=4 Exploring Operation: 50-32=18, Resulting Numbers: [8, 8, 18] Generated Node #0,4: 100:[8, 8, 18] Operation: 50-32=18 Moving to Node #0,2 Current State: 100:[50, 8, 4], Operations: ['32/8=4'] Exploring Operation: 8+4=12, Resulting Numbers: [50, 12] Generated Node #0,2,0: 100:[50, 12] Operation: 8+4=12 Exploring Operation: 50+4=54, Resulting Numbers: [8, 54] Generated Node #0,2,1: 100:[8, 54] Operation: 50+4=54 Exploring Operation: 8-4=4, Resulting Numbers: [50, 4] Generated Node #0,2,2: 100:[50, 4] Operation: 8-4=4 Exploring Operation: 8/4=2, Resulting Numbers: [50, 2] Generated Node #0,2,3: 100:[50, 2] Operation: 8/4=2 Exploring Operation: 50-4=46, Resulting Numbers: [8, 46] Generated Node #0,2,4: 100:[8, 46] Operation: 50-4=46 Moving to Node #0,3 Current State: 100:[50, 8, 4], Operations: ['32/8=4'] Exploring Operation: 8-4=4, Resulting Numbers: [50, 4] Generated Node #0,3,0: 100:[50, 4] Operation: 8-4=4 Exploring Operation: 50+4=54, Resulting Numbers: [8, 54] Generated Node #0,3,1: 100:[8, 54] Operation: 50+4=54 Exploring Operation: 50-4=46, Resulting Numbers: [8, 46] Generated Node #0,3,2: 100:[8, 46] Operation: 50-4=46 Exploring Operation: 8/4=2, Resulting Numbers: [50, 2] Generated Node #0,3,3: 100:[50, 2] Operation: 8/4=2 Exploring Operation: 8+4=12, Resulting Numbers: [50, 12] Generated Node #0,3,4: 100:[50, 12] Operation: 8+4=12 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 100:[50, 4], Operations: ['32/8=4', '8-4=4'] Exploring Operation: 50+4=54, Resulting Numbers: [54] 54,100 unequal: No Solution Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,100 unequal: No Solution Exploring Operation: 50*4=200, Resulting Numbers: [200] 200,100 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 #0,3,3 Current State: 100:[50, 2], Operations: ['32/8=4', '8/4=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[32, 50, 8, 8], Operations: [] Exploring Operation: 32/8=4, Resulting Numbers: [50, 8, 4] Generated Node #0,3: 100:[50, 8, 4] Operation: 32/8=4 Moving to Node #0,3 Current State: 100:[50, 8, 4], Operations: ['32/8=4'] Exploring Operation: 8/4=2, Resulting Numbers: [50, 2] Generated Node #0,3,3: 100:[50, 2] Operation: 8/4=2 Moving to Node #0,3,3 Current State: 100:[50, 2], Operations: ['32/8=4', '8/4=2'] Exploring Operation: 50*2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_5
sum_heuristic
[ 26, 2, 19, 90 ]
85
[ "26-2=24", "19+90=109", "109-24=85" ]
Current State: 85:[26, 2, 19, 90], Operations: [] Exploring Operation: 26-2=24, Resulting Numbers: [19, 90, 24] Generated Node #2: [19, 90, 24] from Operation: 26-2=24 Current State: 85:[19, 90, 24], Operations: ['26-2=24'] Exploring Operation: 19+90=109, Resulting Numbers: [24, 109] Generated Node #3: [24, 109] from Operation: 19+90=109 Current State: 85:[24, 109], Operations: ['26-2=24', '19+90=109'] Exploring Operation: 109-24=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[26, 2, 19, 90], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [2, 90, 7] Generated Node #0,0: 85:[2, 90, 7] Operation: 26-19=7 Exploring Operation: 19-2=17, Resulting Numbers: [26, 90, 17] Generated Node #0,1: 85:[26, 90, 17] Operation: 19-2=17 Exploring Operation: 90-2=88, Resulting Numbers: [26, 19, 88] Generated Node #0,2: 85:[26, 19, 88] Operation: 90-2=88 Exploring Operation: 26/2=13, Resulting Numbers: [19, 90, 13] Generated Node #0,3: 85:[19, 90, 13] Operation: 26/2=13 Exploring Operation: 26-2=24, Resulting Numbers: [19, 90, 24] Generated Node #0,4: 85:[19, 90, 24] Operation: 26-2=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[2, 90, 7], Operations: ['26-19=7'] Exploring Operation: 2*7=14, Resulting Numbers: [90, 14] Generated Node #0,0,0: 85:[90, 14] Operation: 2*7=14 Exploring Operation: 90-2=88, Resulting Numbers: [7, 88] Generated Node #0,0,1: 85:[7, 88] Operation: 90-2=88 Exploring Operation: 7-2=5, Resulting Numbers: [90, 5] Generated Node #0,0,2: 85:[90, 5] Operation: 7-2=5 Exploring Operation: 90-7=83, Resulting Numbers: [2, 83] Generated Node #0,0,3: 85:[2, 83] Operation: 90-7=83 Exploring Operation: 2+90=92, Resulting Numbers: [7, 92] Generated Node #0,0,4: 85:[7, 92] Operation: 2+90=92 Moving to Node #0,0,1 Current State: 85:[7, 88], Operations: ['26-19=7', '90-2=88'] Exploring Operation: 7*88=616, Resulting Numbers: [616] 616,85 unequal: No Solution Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,85 unequal: No Solution Exploring Operation: 88-7=81, Resulting Numbers: [81] 81,85 unequal: No Solution Moving to Node #0,0,3 Current State: 85:[2, 83], Operations: ['26-19=7', '90-7=83'] Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,85 unequal: No Solution Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[26, 2, 19, 90], Operations: [] Exploring Operation: 26-19=7, Resulting Numbers: [2, 90, 7] Generated Node #0,0: 85:[2, 90, 7] Operation: 26-19=7 Moving to Node #0,0 Current State: 85:[2, 90, 7], Operations: ['26-19=7'] Exploring Operation: 90-7=83, Resulting Numbers: [2, 83] Generated Node #0,0,3: 85:[2, 83] Operation: 90-7=83 Moving to Node #0,0,3 Current State: 85:[2, 83], Operations: ['26-19=7', '90-7=83'] Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_5
mult_heuristic
[ 46, 93, 85, 79 ]
53
[ "93-46=47", "85-79=6", "47+6=53" ]
Current State: 53:[46, 93, 85, 79], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [85, 79, 47] Generated Node #2: [85, 79, 47] from Operation: 93-46=47 Current State: 53:[85, 79, 47], Operations: ['93-46=47'] Exploring Operation: 85-79=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 85-79=6 Current State: 53:[47, 6], Operations: ['93-46=47', '85-79=6'] Exploring Operation: 47+6=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[46, 93, 85, 79], Operations: [] Exploring Operation: 93-85=8, Resulting Numbers: [46, 79, 8] Generated Node #0,0: 53:[46, 79, 8] Operation: 93-85=8 Exploring Operation: 93-79=14, Resulting Numbers: [46, 85, 14] Generated Node #0,1: 53:[46, 85, 14] Operation: 93-79=14 Exploring Operation: 85-46=39, Resulting Numbers: [93, 79, 39] Generated Node #0,2: 53:[93, 79, 39] Operation: 85-46=39 Exploring Operation: 79-46=33, Resulting Numbers: [93, 85, 33] Generated Node #0,3: 53:[93, 85, 33] Operation: 79-46=33 Exploring Operation: 93-46=47, Resulting Numbers: [85, 79, 47] Generated Node #0,4: 53:[85, 79, 47] Operation: 93-46=47 Start Sub Search at level 1: Moving to Node #0,4 Current State: 53:[85, 79, 47], Operations: ['93-46=47'] Exploring Operation: 79+47=126, Resulting Numbers: [85, 126] Generated Node #0,4,0: 53:[85, 126] Operation: 79+47=126 Exploring Operation: 85-79=6, Resulting Numbers: [47, 6] Generated Node #0,4,1: 53:[47, 6] Operation: 85-79=6 Exploring Operation: 85-47=38, Resulting Numbers: [79, 38] Generated Node #0,4,2: 53:[79, 38] Operation: 85-47=38 Exploring Operation: 79-47=32, Resulting Numbers: [85, 32] Generated Node #0,4,3: 53:[85, 32] Operation: 79-47=32 Exploring Operation: 85+47=132, Resulting Numbers: [79, 132] Generated Node #0,4,4: 53:[79, 132] Operation: 85+47=132 Moving to Node #0,4,2 Current State: 53:[79, 38], Operations: ['93-46=47', '85-47=38'] Exploring Operation: 79+38=117, Resulting Numbers: [117] 117,53 unequal: No Solution Exploring Operation: 79*38=3002, Resulting Numbers: [3002] 3002,53 unequal: No Solution Exploring Operation: 79-38=41, Resulting Numbers: [41] 41,53 unequal: No Solution Moving to Node #0,4,3 Current State: 53:[85, 32], Operations: ['93-46=47', '79-47=32'] Exploring Operation: 85-32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Moving to Node #0 Current State: 53:[46, 93, 85, 79], Operations: [] Exploring Operation: 93-46=47, Resulting Numbers: [85, 79, 47] Generated Node #0,4: 53:[85, 79, 47] Operation: 93-46=47 Moving to Node #0,4 Current State: 53:[85, 79, 47], Operations: ['93-46=47'] Exploring Operation: 79-47=32, Resulting Numbers: [85, 32] Generated Node #0,4,3: 53:[85, 32] Operation: 79-47=32 Moving to Node #0,4,3 Current State: 53:[85, 32], Operations: ['93-46=47', '79-47=32'] Exploring Operation: 85-32=53, Resulting Numbers: [53] 53,53 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_5
mult_heuristic
[ 9, 3, 49, 54 ]
76
[ "9*3=27", "49+54=103", "103-27=76" ]
Current State: 76:[9, 3, 49, 54], Operations: [] Exploring Operation: 9*3=27, Resulting Numbers: [49, 54, 27] Generated Node #2: [49, 54, 27] from Operation: 9*3=27 Current State: 76:[49, 54, 27], Operations: ['9*3=27'] Exploring Operation: 49+54=103, Resulting Numbers: [27, 103] Generated Node #3: [27, 103] from Operation: 49+54=103 Current State: 76:[27, 103], Operations: ['9*3=27', '49+54=103'] Exploring Operation: 103-27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[9, 3, 49, 54], Operations: [] Exploring Operation: 54-49=5, Resulting Numbers: [9, 3, 5] Generated Node #0,0: 76:[9, 3, 5] Operation: 54-49=5 Moving to Node #0,0 Current State: 76:[9, 3, 5], Operations: ['54-49=5'] Exploring Operation: 9-5=4, Resulting Numbers: [3, 4] Generated Node #0,0,0: 76:[3, 4] Operation: 9-5=4 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 76:[3, 4], Operations: ['54-49=5', '9-5=4'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,76 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
[ 49, 58, 84, 86 ]
18
[ "58-49=9", "86-84=2", "9*2=18" ]
Current State: 18:[49, 58, 84, 86], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [84, 86, 9] Generated Node #2: [84, 86, 9] from Operation: 58-49=9 Current State: 18:[84, 86, 9], Operations: ['58-49=9'] Exploring Operation: 86-84=2, Resulting Numbers: [9, 2] Generated Node #3: [9, 2] from Operation: 86-84=2 Current State: 18:[9, 2], Operations: ['58-49=9', '86-84=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[49, 58, 84, 86], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [49, 58, 2] Generated Node #0,0: 18:[49, 58, 2] Operation: 86-84=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[49, 58, 2], Operations: ['86-84=2'] Exploring Operation: 58-49=9, Resulting Numbers: [2, 9] Generated Node #0,0,0: 18:[2, 9] Operation: 58-49=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 18:[2, 9], Operations: ['86-84=2', '58-49=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached Moving to Node #0 Current State: 18:[49, 58, 84, 86], Operations: [] Exploring Operation: 86-84=2, Resulting Numbers: [49, 58, 2] Generated Node #0,0: 18:[49, 58, 2] Operation: 86-84=2 Moving to Node #0,0 Current State: 18:[49, 58, 2], Operations: ['86-84=2'] Exploring Operation: 58-49=9, Resulting Numbers: [2, 9] Generated Node #0,0,0: 18:[2, 9] Operation: 58-49=9 Moving to Node #0,0,0 Current State: 18:[2, 9], Operations: ['86-84=2', '58-49=9'] Exploring Operation: 2*9=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
[ 21, 48, 7, 23 ]
75
[ "21/7=3", "48-23=25", "3*25=75" ]
Current State: 75:[21, 48, 7, 23], Operations: [] Exploring Operation: 21/7=3, Resulting Numbers: [48, 23, 3] Generated Node #2: [48, 23, 3] from Operation: 21/7=3 Current State: 75:[48, 23, 3], Operations: ['21/7=3'] Exploring Operation: 48-23=25, Resulting Numbers: [3, 25] Generated Node #3: [3, 25] from Operation: 48-23=25 Current State: 75:[3, 25], Operations: ['21/7=3', '48-23=25'] Exploring Operation: 3*25=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[21, 48, 7, 23], Operations: [] Exploring Operation: 21+48=69, Resulting Numbers: [7, 23, 69] Generated Node #0,0: 75:[7, 23, 69] Operation: 21+48=69 Exploring Operation: 48-23=25, Resulting Numbers: [21, 7, 25] Generated Node #0,1: 75:[21, 7, 25] Operation: 48-23=25 Exploring Operation: 48-21=27, Resulting Numbers: [7, 23, 27] Generated Node #0,2: 75:[7, 23, 27] Operation: 48-21=27 Moving to Node #0,1 Current State: 75:[21, 7, 25], Operations: ['48-23=25'] Exploring Operation: 21-7=14, Resulting Numbers: [25, 14] Generated Node #0,1,0: 75:[25, 14] Operation: 21-7=14 Exploring Operation: 21+7=28, Resulting Numbers: [25, 28] Generated Node #0,1,1: 75:[25, 28] Operation: 21+7=28 Exploring Operation: 21/7=3, Resulting Numbers: [25, 3] Generated Node #0,1,2: 75:[25, 3] Operation: 21/7=3 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 75:[25, 3], Operations: ['48-23=25', '21/7=3'] Exploring Operation: 25-3=22, Resulting Numbers: [22] 22,75 unequal: No Solution Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,75 unequal: No Solution Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[21, 48, 7, 23], Operations: [] Exploring Operation: 48-23=25, Resulting Numbers: [21, 7, 25] Generated Node #0,1: 75:[21, 7, 25] Operation: 48-23=25 Moving to Node #0,1 Current State: 75:[21, 7, 25], Operations: ['48-23=25'] Exploring Operation: 21/7=3, Resulting Numbers: [25, 3] Generated Node #0,1,2: 75:[25, 3] Operation: 21/7=3 Moving to Node #0,1,2 Current State: 75:[25, 3], Operations: ['48-23=25', '21/7=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
sum_heuristic
[ 8, 83, 85, 41 ]
45
[ "85-83=2", "8/2=4", "41+4=45" ]
Current State: 45:[8, 83, 85, 41], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [8, 41, 2] Generated Node #2: [8, 41, 2] from Operation: 85-83=2 Current State: 45:[8, 41, 2], Operations: ['85-83=2'] Exploring Operation: 8/2=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 8/2=4 Current State: 45:[41, 4], Operations: ['85-83=2', '8/2=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[8, 83, 85, 41], Operations: [] Exploring Operation: 85-41=44, Resulting Numbers: [8, 83, 44] Generated Node #0,0: 45:[8, 83, 44] Operation: 85-41=44 Exploring Operation: 85-83=2, Resulting Numbers: [8, 41, 2] Generated Node #0,1: 45:[8, 41, 2] Operation: 85-83=2 Exploring Operation: 83-41=42, Resulting Numbers: [8, 85, 42] Generated Node #0,2: 45:[8, 85, 42] Operation: 83-41=42 Start Sub Search at level 1: Moving to Node #0,1 Current State: 45:[8, 41, 2], Operations: ['85-83=2'] Exploring Operation: 8+41=49, Resulting Numbers: [2, 49] Generated Node #0,1,0: 45:[2, 49] Operation: 8+41=49 Exploring Operation: 41+2=43, Resulting Numbers: [8, 43] Generated Node #0,1,1: 45:[8, 43] Operation: 41+2=43 Exploring Operation: 8+2=10, Resulting Numbers: [41, 10] Generated Node #0,1,2: 45:[41, 10] Operation: 8+2=10 Moving to Node #0,1,1 Current State: 45:[8, 43], Operations: ['85-83=2', '41+2=43'] Exploring Operation: 8*43=344, Resulting Numbers: [344] 344,45 unequal: No Solution Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,45 unequal: No Solution Exploring Operation: 8+43=51, Resulting Numbers: [51] 51,45 unequal: No Solution Moving to Node #0,1,0 Current State: 45:[2, 49], Operations: ['85-83=2', '8+41=49'] Exploring Operation: 2*49=98, Resulting Numbers: [98] 98,45 unequal: No Solution Exploring Operation: 49-2=47, Resulting Numbers: [47] 47,45 unequal: No Solution Exploring Operation: 2+49=51, Resulting Numbers: [51] 51,45 unequal: No Solution Moving to Node #0,1,2 Current State: 45:[41, 10], Operations: ['85-83=2', '8+2=10'] Exploring Operation: 41+10=51, Resulting Numbers: [51] 51,45 unequal: No Solution Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,45 unequal: No Solution Exploring Operation: 41*10=410, Resulting Numbers: [410] 410,45 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: 45:[8, 83, 44], Operations: ['85-41=44'] Exploring Operation: 8+44=52, Resulting Numbers: [83, 52] Generated Node #0,0,0: 45:[83, 52] Operation: 8+44=52 Exploring Operation: 83-44=39, Resulting Numbers: [8, 39] Generated Node #0,0,1: 45:[8, 39] Operation: 83-44=39 Exploring Operation: 83-8=75, Resulting Numbers: [44, 75] Generated Node #0,0,2: 45:[44, 75] Operation: 83-8=75 Moving to Node #0,0,1 Current State: 45:[8, 39], Operations: ['85-41=44', '83-44=39'] Exploring Operation: 8+39=47, Resulting Numbers: [47] 47,45 unequal: No Solution Exploring Operation: 8*39=312, Resulting Numbers: [312] 312,45 unequal: No Solution Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,45 unequal: No Solution Moving to Node #0,0,2 Current State: 45:[44, 75], Operations: ['85-41=44', '83-8=75'] Exploring Operation: 75-44=31, Resulting Numbers: [31] 31,45 unequal: No Solution Exploring Operation: 44+75=119, Resulting Numbers: [119] 119,45 unequal: No Solution Exploring Operation: 44*75=3300, Resulting Numbers: [3300] 3300,45 unequal: No Solution Moving to Node #0,0,0 Current State: 45:[83, 52], Operations: ['85-41=44', '8+44=52'] Exploring Operation: 83-52=31, Resulting Numbers: [31] 31,45 unequal: No Solution Exploring Operation: 83+52=135, Resulting Numbers: [135] 135,45 unequal: No Solution Exploring Operation: 83*52=4316, Resulting Numbers: [4316] 4316,45 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: 45:[8, 85, 42], Operations: ['83-41=42'] Exploring Operation: 85-8=77, Resulting Numbers: [42, 77] Generated Node #0,2,0: 45:[42, 77] Operation: 85-8=77 Exploring Operation: 8+42=50, Resulting Numbers: [85, 50] Generated Node #0,2,1: 45:[85, 50] Operation: 8+42=50 Exploring Operation: 85-42=43, Resulting Numbers: [8, 43] Generated Node #0,2,2: 45:[8, 43] Operation: 85-42=43 Moving to Node #0,2,2 Current State: 45:[8, 43], Operations: ['83-41=42', '85-42=43'] Exploring Operation: 8+43=51, Resulting Numbers: [51] 51,45 unequal: No Solution Exploring Operation: 8*43=344, Resulting Numbers: [344] 344,45 unequal: No Solution Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,45 unequal: No Solution Moving to Node #0,2,0 Current State: 45:[42, 77], Operations: ['83-41=42', '85-8=77'] Exploring Operation: 42+77=119, Resulting Numbers: [119] 119,45 unequal: No Solution Exploring Operation: 42*77=3234, Resulting Numbers: [3234] 3234,45 unequal: No Solution Exploring Operation: 77-42=35, Resulting Numbers: [35] 35,45 unequal: No Solution Moving to Node #0,2,1 Current State: 45:[85, 50], Operations: ['83-41=42', '8+42=50'] Exploring Operation: 85+50=135, Resulting Numbers: [135] 135,45 unequal: No Solution Exploring Operation: 85*50=4250, Resulting Numbers: [4250] 4250,45 unequal: No Solution Exploring Operation: 85-50=35, Resulting Numbers: [35] 35,45 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
[ 24, 63, 43, 79 ]
42
[ "24*63=1512", "79-43=36", "1512/36=42" ]
Current State: 42:[24, 63, 43, 79], Operations: [] Exploring Operation: 24*63=1512, Resulting Numbers: [43, 79, 1512] Generated Node #2: [43, 79, 1512] from Operation: 24*63=1512 Current State: 42:[43, 79, 1512], Operations: ['24*63=1512'] Exploring Operation: 79-43=36, Resulting Numbers: [1512, 36] Generated Node #3: [1512, 36] from Operation: 79-43=36 Current State: 42:[1512, 36], Operations: ['24*63=1512', '79-43=36'] Exploring Operation: 1512/36=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[24, 63, 43, 79], Operations: [] Exploring Operation: 79-63=16, Resulting Numbers: [24, 43, 16] Generated Node #0,0: 42:[24, 43, 16] Operation: 79-63=16 Exploring Operation: 79-43=36, Resulting Numbers: [24, 63, 36] Generated Node #0,1: 42:[24, 63, 36] Operation: 79-43=36 Start Sub Search at level 1: Moving to Node #0,0 Current State: 42:[24, 43, 16], Operations: ['79-63=16'] Exploring Operation: 24-16=8, Resulting Numbers: [43, 8] Generated Node #0,0,0: 42:[43, 8] Operation: 24-16=8 Exploring Operation: 24+16=40, Resulting Numbers: [43, 40] Generated Node #0,0,1: 42:[43, 40] Operation: 24+16=40 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 42:[43, 8], Operations: ['79-63=16', '24-16=8'] Exploring Operation: 43+8=51, Resulting Numbers: [51] 51,42 unequal: No Solution Exploring Operation: 43-8=35, Resulting Numbers: [35] 35,42 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: 42:[43, 40], Operations: ['79-63=16', '24+16=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,42 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,42 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: 42:[24, 63, 36], Operations: ['79-43=36'] Exploring Operation: 63-36=27, Resulting Numbers: [24, 27] Generated Node #0,1,0: 42:[24, 27] Operation: 63-36=27 Exploring Operation: 63-24=39, Resulting Numbers: [36, 39] Generated Node #0,1,1: 42:[36, 39] Operation: 63-24=39 Moving to Node #0,1,0 Current State: 42:[24, 27], Operations: ['79-43=36', '63-36=27'] Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,42 unequal: No Solution Exploring Operation: 24+27=51, Resulting Numbers: [51] 51,42 unequal: No Solution Moving to Node #0,1,1 Current State: 42:[36, 39], Operations: ['79-43=36', '63-24=39'] Exploring Operation: 39-36=3, Resulting Numbers: [3] 3,42 unequal: No Solution Exploring Operation: 36+39=75, Resulting Numbers: [75] 75,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 33, 1, 25, 28 ]
11
[ "33*1=33", "28-25=3", "33/3=11" ]
Current State: 11:[33, 1, 25, 28], Operations: [] Exploring Operation: 33*1=33, Resulting Numbers: [25, 28, 33] Generated Node #2: [25, 28, 33] from Operation: 33*1=33 Current State: 11:[25, 28, 33], Operations: ['33*1=33'] Exploring Operation: 28-25=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 28-25=3 Current State: 11:[33, 3], Operations: ['33*1=33', '28-25=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[33, 1, 25, 28], Operations: [] Exploring Operation: 33-28=5, Resulting Numbers: [1, 25, 5] Generated Node #0,0: 11:[1, 25, 5] Operation: 33-28=5 Exploring Operation: 33-1=32, Resulting Numbers: [25, 28, 32] Generated Node #0,1: 11:[25, 28, 32] Operation: 33-1=32 Exploring Operation: 33-25=8, Resulting Numbers: [1, 28, 8] Generated Node #0,2: 11:[1, 28, 8] Operation: 33-25=8 Exploring Operation: 28-25=3, Resulting Numbers: [33, 1, 3] Generated Node #0,3: 11:[33, 1, 3] Operation: 28-25=3 Moving to Node #0,0 Current State: 11:[1, 25, 5], Operations: ['33-28=5'] Exploring Operation: 25-1=24, Resulting Numbers: [5, 24] Generated Node #0,0,0: 11:[5, 24] Operation: 25-1=24 Exploring Operation: 25-5=20, Resulting Numbers: [1, 20] Generated Node #0,0,1: 11:[1, 20] Operation: 25-5=20 Exploring Operation: 1+5=6, Resulting Numbers: [25, 6] Generated Node #0,0,2: 11:[25, 6] Operation: 1+5=6 Exploring Operation: 25/5=5, Resulting Numbers: [1, 5] Generated Node #0,0,3: 11:[1, 5] Operation: 25/5=5 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 11:[1, 5], Operations: ['33-28=5', '25/5=5'] Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 1+5=6, Resulting Numbers: [6] 6,11 unequal: No Solution Exploring Operation: 1*5=5, Resulting Numbers: [5] 5,11 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,11 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: 11:[5, 24], Operations: ['33-28=5', '25-1=24'] Exploring Operation: 5+24=29, Resulting Numbers: [29] 29,11 unequal: No Solution Exploring Operation: 24-5=19, Resulting Numbers: [19] 19,11 unequal: No Solution Exploring Operation: 5*24=120, Resulting Numbers: [120] 120,11 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: 11:[1, 20], Operations: ['33-28=5', '25-5=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,11 unequal: No Solution Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,11 unequal: No Solution Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,11 unequal: No Solution Exploring Operation: 1+20=21, Resulting Numbers: [21] 21,11 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: 11:[25, 6], Operations: ['33-28=5', '1+5=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,11 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,11 unequal: No Solution Exploring Operation: 25*6=150, Resulting Numbers: [150] 150,11 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: 11:[1, 28, 8], Operations: ['33-25=8'] Exploring Operation: 28-8=20, Resulting Numbers: [1, 20] Generated Node #0,2,0: 11:[1, 20] Operation: 28-8=20 Exploring Operation: 28-1=27, Resulting Numbers: [8, 27] Generated Node #0,2,1: 11:[8, 27] Operation: 28-1=27 Exploring Operation: 1*28=28, Resulting Numbers: [8, 28] Generated Node #0,2,2: 11:[8, 28] Operation: 1*28=28 Exploring Operation: 1+8=9, Resulting Numbers: [28, 9] Generated Node #0,2,3: 11:[28, 9] Operation: 1+8=9 Moving to Node #0,3 Current State: 11:[33, 1, 3], Operations: ['28-25=3'] Exploring Operation: 1+3=4, Resulting Numbers: [33, 4] Generated Node #0,3,0: 11:[33, 4] Operation: 1+3=4 Exploring Operation: 33-3=30, Resulting Numbers: [1, 30] Generated Node #0,3,1: 11:[1, 30] Operation: 33-3=30 Exploring Operation: 33-1=32, Resulting Numbers: [3, 32] Generated Node #0,3,2: 11:[3, 32] Operation: 33-1=32 Exploring Operation: 33/3=11, Resulting Numbers: [1, 11] Generated Node #0,3,3: 11:[1, 11] Operation: 33/3=11 Moving to Node #0,1 Current State: 11:[25, 28, 32], Operations: ['33-1=32'] Exploring Operation: 32-28=4, Resulting Numbers: [25, 4] Generated Node #0,1,0: 11:[25, 4] Operation: 32-28=4 Exploring Operation: 25+28=53, Resulting Numbers: [32, 53] Generated Node #0,1,1: 11:[32, 53] Operation: 25+28=53 Exploring Operation: 32-25=7, Resulting Numbers: [28, 7] Generated Node #0,1,2: 11:[28, 7] Operation: 32-25=7 Exploring Operation: 28-25=3, Resulting Numbers: [32, 3] Generated Node #0,1,3: 11:[32, 3] Operation: 28-25=3 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 11:[25, 4], Operations: ['33-1=32', '32-28=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,11 unequal: No Solution Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,11 unequal: No Solution Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,11 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: 11:[28, 7], Operations: ['33-1=32', '32-25=7'] Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,11 unequal: No Solution Exploring Operation: 28*7=196, Resulting Numbers: [196] 196,11 unequal: No Solution Exploring Operation: 28+7=35, Resulting Numbers: [35] 35,11 unequal: No Solution Exploring Operation: 28-7=21, Resulting Numbers: [21] 21,11 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: 11:[32, 3], Operations: ['33-1=32', '28-25=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,11 unequal: No Solution Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,11 unequal: No Solution Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,11 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: 11:[32, 53], Operations: ['33-1=32', '25+28=53'] Exploring Operation: 53-32=21, Resulting Numbers: [21] 21,11 unequal: No Solution Exploring Operation: 32*53=1696, Resulting Numbers: [1696] 1696,11 unequal: No Solution Exploring Operation: 32+53=85, Resulting Numbers: [85] 85,11 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,3 Current State: 11:[1, 11], Operations: ['28-25=3', '33/3=11'] Exploring Operation: 11/1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[33, 1, 25, 28], Operations: [] Exploring Operation: 28-25=3, Resulting Numbers: [33, 1, 3] Generated Node #0,3: 11:[33, 1, 3] Operation: 28-25=3 Moving to Node #0,3 Current State: 11:[33, 1, 3], Operations: ['28-25=3'] Exploring Operation: 33/3=11, Resulting Numbers: [1, 11] Generated Node #0,3,3: 11:[1, 11] Operation: 33/3=11 Moving to Node #0,3,3 Current State: 11:[1, 11], Operations: ['28-25=3', '33/3=11'] Exploring Operation: 11/1=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
0.954861
hs_4
mult_heuristic
[ 65, 11, 16, 63 ]
76
[ "16-11=5", "65/5=13", "63+13=76" ]
Current State: 76:[65, 11, 16, 63], Operations: [] Exploring Operation: 16-11=5, Resulting Numbers: [65, 63, 5] Generated Node #2: [65, 63, 5] from Operation: 16-11=5 Current State: 76:[65, 63, 5], Operations: ['16-11=5'] Exploring Operation: 65/5=13, Resulting Numbers: [63, 13] Generated Node #3: [63, 13] from Operation: 65/5=13 Current State: 76:[63, 13], Operations: ['16-11=5', '65/5=13'] Exploring Operation: 63+13=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[65, 11, 16, 63], Operations: [] Exploring Operation: 11+63=74, Resulting Numbers: [65, 16, 74] Generated Node #0,0: 76:[65, 16, 74] Operation: 11+63=74 Exploring Operation: 65-63=2, Resulting Numbers: [11, 16, 2] Generated Node #0,1: 76:[11, 16, 2] Operation: 65-63=2 Exploring Operation: 65+11=76, Resulting Numbers: [16, 63, 76] Generated Node #0,2: 76:[16, 63, 76] Operation: 65+11=76 Moving to Node #0,1 Current State: 76:[11, 16, 2], Operations: ['65-63=2'] Exploring Operation: 11*2=22, Resulting Numbers: [16, 22] Generated Node #0,1,0: 76:[16, 22] Operation: 11*2=22 Exploring Operation: 11+16=27, Resulting Numbers: [2, 27] Generated Node #0,1,1: 76:[2, 27] Operation: 11+16=27 Exploring Operation: 16-11=5, Resulting Numbers: [2, 5] Generated Node #0,1,2: 76:[2, 5] Operation: 16-11=5 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 76:[2, 5], Operations: ['65-63=2', '16-11=5'] Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,76 unequal: No Solution Exploring Operation: 2+5=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,76 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: 76:[16, 22], Operations: ['65-63=2', '11*2=22'] Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,76 unequal: No Solution Exploring Operation: 16*22=352, Resulting Numbers: [352] 352,76 unequal: No Solution Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,76 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: 76:[2, 27], Operations: ['65-63=2', '11+16=27'] Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,76 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,76 unequal: No Solution Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,76 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: 76:[65, 16, 74], Operations: ['11+63=74'] Exploring Operation: 65+16=81, Resulting Numbers: [74, 81] Generated Node #0,0,0: 76:[74, 81] Operation: 65+16=81 Exploring Operation: 74-65=9, Resulting Numbers: [16, 9] Generated Node #0,0,1: 76:[16, 9] Operation: 74-65=9 Exploring Operation: 65-16=49, Resulting Numbers: [74, 49] Generated Node #0,0,2: 76:[74, 49] Operation: 65-16=49 Moving to Node #0,2 Current State: 76:[16, 63, 76], Operations: ['65+11=76'] Exploring Operation: 63-16=47, Resulting Numbers: [76, 47] Generated Node #0,2,0: 76:[76, 47] Operation: 63-16=47 Exploring Operation: 76-63=13, Resulting Numbers: [16, 13] Generated Node #0,2,1: 76:[16, 13] Operation: 76-63=13 Exploring Operation: 16+63=79, Resulting Numbers: [76, 79] Generated Node #0,2,2: 76:[76, 79] Operation: 16+63=79 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 76:[76, 79], Operations: ['65+11=76', '16+63=79'] Exploring Operation: 79-76=3, Resulting Numbers: [3] 3,76 unequal: No Solution Exploring Operation: 76*79=6004, Resulting Numbers: [6004] 6004,76 unequal: No Solution Exploring Operation: 76+79=155, Resulting Numbers: [155] 155,76 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: 76:[76, 47], Operations: ['65+11=76', '63-16=47'] Exploring Operation: 76*47=3572, Resulting Numbers: [3572] 3572,76 unequal: No Solution Exploring Operation: 76+47=123, Resulting Numbers: [123] 123,76 unequal: No Solution Exploring Operation: 76-47=29, Resulting Numbers: [29] 29,76 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: 76:[16, 13], Operations: ['65+11=76', '76-63=13'] Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,76 unequal: No Solution Exploring Operation: 16+13=29, Resulting Numbers: [29] 29,76 unequal: No Solution Exploring Operation: 16*13=208, Resulting Numbers: [208] 208,76 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: 76:[74, 81], Operations: ['11+63=74', '65+16=81'] Exploring Operation: 74*81=5994, Resulting Numbers: [5994] 5994,76 unequal: No Solution Exploring Operation: 74+81=155, Resulting Numbers: [155] 155,76 unequal: No Solution Exploring Operation: 81-74=7, Resulting Numbers: [7] 7,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[16, 9], Operations: ['11+63=74', '74-65=9'] Exploring Operation: 16*9=144, Resulting Numbers: [144] 144,76 unequal: No Solution Exploring Operation: 16-9=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 16+9=25, Resulting Numbers: [25] 25,76 unequal: No Solution Moving to Node #0,0,2 Current State: 76:[74, 49], Operations: ['11+63=74', '65-16=49'] Exploring Operation: 74*49=3626, Resulting Numbers: [3626] 3626,76 unequal: No Solution Exploring Operation: 74-49=25, Resulting Numbers: [25] 25,76 unequal: No Solution Exploring Operation: 74+49=123, Resulting Numbers: [123] 123,76 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 17, 66, 73, 30 ]
91
[ "30-17=13", "73-66=7", "13*7=91" ]
Current State: 91:[17, 66, 73, 30], Operations: [] Exploring Operation: 30-17=13, Resulting Numbers: [66, 73, 13] Generated Node #2: [66, 73, 13] from Operation: 30-17=13 Current State: 91:[66, 73, 13], Operations: ['30-17=13'] Exploring Operation: 73-66=7, Resulting Numbers: [13, 7] Generated Node #3: [13, 7] from Operation: 73-66=7 Current State: 91:[13, 7], Operations: ['30-17=13', '73-66=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[17, 66, 73, 30], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [17, 30, 7] Generated Node #0,0: 91:[17, 30, 7] Operation: 73-66=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[17, 30, 7], Operations: ['73-66=7'] Exploring Operation: 30-17=13, Resulting Numbers: [7, 13] Generated Node #0,0,0: 91:[7, 13] Operation: 30-17=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[7, 13], Operations: ['73-66=7', '30-17=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[17, 66, 73, 30], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [17, 30, 7] Generated Node #0,0: 91:[17, 30, 7] Operation: 73-66=7 Moving to Node #0,0 Current State: 91:[17, 30, 7], Operations: ['73-66=7'] Exploring Operation: 30-17=13, Resulting Numbers: [7, 13] Generated Node #0,0,0: 91:[7, 13] Operation: 30-17=13 Moving to Node #0,0,0 Current State: 91:[7, 13], Operations: ['73-66=7', '30-17=13'] Exploring Operation: 7*13=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 8, 14, 63, 12 ]
65
[ "14-8=6", "12/6=2", "63+2=65" ]
Current State: 65:[8, 14, 63, 12], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [63, 12, 6] Generated Node #2: [63, 12, 6] from Operation: 14-8=6 Current State: 65:[63, 12, 6], Operations: ['14-8=6'] Exploring Operation: 12/6=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 12/6=2 Current State: 65:[63, 2], Operations: ['14-8=6', '12/6=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
Current State: 65:[8, 14, 63, 12], Operations: [] Exploring Operation: 8+63=71, Resulting Numbers: [14, 12, 71] Generated Node #0,0: 65:[14, 12, 71] Operation: 8+63=71 Exploring Operation: 14-8=6, Resulting Numbers: [63, 12, 6] Generated Node #0,1: 65:[63, 12, 6] Operation: 14-8=6 Exploring Operation: 14-12=2, Resulting Numbers: [8, 63, 2] Generated Node #0,2: 65:[8, 63, 2] Operation: 14-12=2 Exploring Operation: 12-8=4, Resulting Numbers: [14, 63, 4] Generated Node #0,3: 65:[14, 63, 4] Operation: 12-8=4 Moving to Node #0,1 Current State: 65:[63, 12, 6], Operations: ['14-8=6'] Exploring Operation: 12/6=2, Resulting Numbers: [63, 2] Generated Node #0,1,0: 65:[63, 2] Operation: 12/6=2 Exploring Operation: 63+6=69, Resulting Numbers: [12, 69] Generated Node #0,1,1: 65:[12, 69] Operation: 63+6=69 Exploring Operation: 12+6=18, Resulting Numbers: [63, 18] Generated Node #0,1,2: 65:[63, 18] Operation: 12+6=18 Exploring Operation: 12-6=6, Resulting Numbers: [63, 6] Generated Node #0,1,3: 65:[63, 6] Operation: 12-6=6 Moving to Node #0,3 Current State: 65:[14, 63, 4], Operations: ['12-8=4'] Exploring Operation: 63+4=67, Resulting Numbers: [14, 67] Generated Node #0,3,0: 65:[14, 67] Operation: 63+4=67 Exploring Operation: 14+4=18, Resulting Numbers: [63, 18] Generated Node #0,3,1: 65:[63, 18] Operation: 14+4=18 Exploring Operation: 63-4=59, Resulting Numbers: [14, 59] Generated Node #0,3,2: 65:[14, 59] Operation: 63-4=59 Exploring Operation: 14-4=10, Resulting Numbers: [63, 10] Generated Node #0,3,3: 65:[63, 10] Operation: 14-4=10 Moving to Node #0,2 Current State: 65:[8, 63, 2], Operations: ['14-12=2'] Exploring Operation: 63+2=65, Resulting Numbers: [8, 65] Generated Node #0,2,0: 65:[8, 65] Operation: 63+2=65 Exploring Operation: 8+2=10, Resulting Numbers: [63, 10] Generated Node #0,2,1: 65:[63, 10] Operation: 8+2=10 Exploring Operation: 8/2=4, Resulting Numbers: [63, 4] Generated Node #0,2,2: 65:[63, 4] Operation: 8/2=4 Exploring Operation: 8-2=6, Resulting Numbers: [63, 6] Generated Node #0,2,3: 65:[63, 6] Operation: 8-2=6 Moving to Node #0,0 Current State: 65:[14, 12, 71], Operations: ['8+63=71'] Exploring Operation: 14-12=2, Resulting Numbers: [71, 2] Generated Node #0,0,0: 65:[71, 2] Operation: 14-12=2 Exploring Operation: 14+12=26, Resulting Numbers: [71, 26] Generated Node #0,0,1: 65:[71, 26] Operation: 14+12=26 Exploring Operation: 71-12=59, Resulting Numbers: [14, 59] Generated Node #0,0,2: 65:[14, 59] Operation: 71-12=59 Exploring Operation: 71-14=57, Resulting Numbers: [12, 57] Generated Node #0,0,3: 65:[12, 57] Operation: 71-14=57 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 65:[14, 59], Operations: ['8+63=71', '71-12=59'] Exploring Operation: 14*59=826, Resulting Numbers: [826] 826,65 unequal: No Solution Exploring Operation: 59-14=45, Resulting Numbers: [45] 45,65 unequal: No Solution Exploring Operation: 14+59=73, Resulting Numbers: [73] 73,65 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: 65:[71, 2], Operations: ['8+63=71', '14-12=2'] Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,65 unequal: No Solution Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,65 unequal: No Solution Exploring Operation: 71*2=142, Resulting Numbers: [142] 142,65 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: 65:[12, 57], Operations: ['8+63=71', '71-14=57'] Exploring Operation: 57-12=45, Resulting Numbers: [45] 45,65 unequal: No Solution Exploring Operation: 12*57=684, Resulting Numbers: [684] 684,65 unequal: No Solution Exploring Operation: 12+57=69, Resulting Numbers: [69] 69,65 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: 65:[71, 26], Operations: ['8+63=71', '14+12=26'] Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,65 unequal: No Solution Exploring Operation: 71*26=1846, Resulting Numbers: [1846] 1846,65 unequal: No Solution Exploring Operation: 71+26=97, Resulting Numbers: [97] 97,65 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,3 Current State: 65:[63, 6], Operations: ['14-8=6', '12-6=6'] Exploring Operation: 63*6=378, Resulting Numbers: [378] 378,65 unequal: No Solution Exploring Operation: 63+6=69, Resulting Numbers: [69] 69,65 unequal: No Solution Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,65 unequal: No Solution Moving to Node #0,3,0 Current State: 65:[14, 67], Operations: ['12-8=4', '63+4=67'] Exploring Operation: 14*67=938, Resulting Numbers: [938] 938,65 unequal: No Solution Exploring Operation: 14+67=81, Resulting Numbers: [81] 81,65 unequal: No Solution Exploring Operation: 67-14=53, Resulting Numbers: [53] 53,65 unequal: No Solution Moving to Node #0,2,2 Current State: 65:[63, 4], Operations: ['14-12=2', '8/2=4'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,65 unequal: No Solution Exploring Operation: 63*4=252, Resulting Numbers: [252] 252,65 unequal: No Solution Exploring Operation: 63+4=67, Resulting Numbers: [67] 67,65 unequal: No Solution Moving to Node #0,2,3 Current State: 65:[63, 6], Operations: ['14-12=2', '8-2=6'] Exploring Operation: 63*6=378, Resulting Numbers: [378] 378,65 unequal: No Solution Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,65 unequal: No Solution Exploring Operation: 63+6=69, Resulting Numbers: [69] 69,65 unequal: No Solution Moving to Node #0,2,0 Current State: 65:[8, 65], Operations: ['14-12=2', '63+2=65'] Exploring Operation: 8+65=73, Resulting Numbers: [73] 73,65 unequal: No Solution Exploring Operation: 65-8=57, Resulting Numbers: [57] 57,65 unequal: No Solution Exploring Operation: 8*65=520, Resulting Numbers: [520] 520,65 unequal: No Solution Moving to Node #0,1,1 Current State: 65:[12, 69], Operations: ['14-8=6', '63+6=69'] Exploring Operation: 69-12=57, Resulting Numbers: [57] 57,65 unequal: No Solution Exploring Operation: 12+69=81, Resulting Numbers: [81] 81,65 unequal: No Solution Exploring Operation: 12*69=828, Resulting Numbers: [828] 828,65 unequal: No Solution Moving to Node #0,3,3 Current State: 65:[63, 10], Operations: ['12-8=4', '14-4=10'] Exploring Operation: 63+10=73, Resulting Numbers: [73] 73,65 unequal: No Solution Exploring Operation: 63*10=630, Resulting Numbers: [630] 630,65 unequal: No Solution Exploring Operation: 63-10=53, Resulting Numbers: [53] 53,65 unequal: No Solution Moving to Node #0,1,0 Current State: 65:[63, 2], Operations: ['14-8=6', '12/6=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,65 unequal: No Solution Exploring Operation: 63*2=126, Resulting Numbers: [126] 126,65 unequal: No Solution Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[8, 14, 63, 12], Operations: [] Exploring Operation: 14-8=6, Resulting Numbers: [63, 12, 6] Generated Node #0,1: 65:[63, 12, 6] Operation: 14-8=6 Moving to Node #0,1 Current State: 65:[63, 12, 6], Operations: ['14-8=6'] Exploring Operation: 12/6=2, Resulting Numbers: [63, 2] Generated Node #0,1,0: 65:[63, 2] Operation: 12/6=2 Moving to Node #0,1,0 Current State: 65:[63, 2], Operations: ['14-8=6', '12/6=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
0.947917
hs_4
mult_heuristic
[ 4, 77, 2, 89 ]
41
[ "77-2=75", "89+75=164", "164/4=41" ]
Current State: 41:[4, 77, 2, 89], Operations: [] Exploring Operation: 77-2=75, Resulting Numbers: [4, 89, 75] Generated Node #2: [4, 89, 75] from Operation: 77-2=75 Current State: 41:[4, 89, 75], Operations: ['77-2=75'] Exploring Operation: 89+75=164, Resulting Numbers: [4, 164] Generated Node #3: [4, 164] from Operation: 89+75=164 Current State: 41:[4, 164], Operations: ['77-2=75', '89+75=164'] Exploring Operation: 164/4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[4, 77, 2, 89], Operations: [] Exploring Operation: 89-77=12, Resulting Numbers: [4, 2, 12] Generated Node #0,0: 41:[4, 2, 12] Operation: 89-77=12 Exploring Operation: 4*2=8, Resulting Numbers: [77, 89, 8] Generated Node #0,1: 41:[77, 89, 8] Operation: 4*2=8 Exploring Operation: 77-4=73, Resulting Numbers: [2, 89, 73] Generated Node #0,2: 41:[2, 89, 73] Operation: 77-4=73 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[4, 2, 12], Operations: ['89-77=12'] Exploring Operation: 4*12=48, Resulting Numbers: [2, 48] Generated Node #0,0,0: 41:[2, 48] Operation: 4*12=48 Exploring Operation: 2*12=24, Resulting Numbers: [4, 24] Generated Node #0,0,1: 41:[4, 24] Operation: 2*12=24 Exploring Operation: 4*2=8, Resulting Numbers: [12, 8] Generated Node #0,0,2: 41:[12, 8] Operation: 4*2=8 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[2, 48], Operations: ['89-77=12', '4*12=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,41 unequal: No Solution Exploring Operation: 48/2=24, Resulting Numbers: [24] 24,41 unequal: No Solution Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,41 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: 41:[4, 24], Operations: ['89-77=12', '2*12=24'] Exploring Operation: 4+24=28, Resulting Numbers: [28] 28,41 unequal: No Solution Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,41 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: 41:[12, 8], Operations: ['89-77=12', '4*2=8'] Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,41 unequal: No Solution Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,41 unequal: No Solution Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,41 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: 41:[77, 89, 8], Operations: ['4*2=8'] Exploring Operation: 89-8=81, Resulting Numbers: [77, 81] Generated Node #0,1,0: 41:[77, 81] Operation: 89-8=81 Exploring Operation: 89-77=12, Resulting Numbers: [8, 12] Generated Node #0,1,1: 41:[8, 12] Operation: 89-77=12 Exploring Operation: 77-8=69, Resulting Numbers: [89, 69] Generated Node #0,1,2: 41:[89, 69] Operation: 77-8=69 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 41:[8, 12], Operations: ['4*2=8', '89-77=12'] Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,41 unequal: No Solution Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,41 unequal: No Solution Exploring Operation: 8*12=96, Resulting Numbers: [96] 96,41 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: 41:[77, 81], Operations: ['4*2=8', '89-8=81'] Exploring Operation: 81-77=4, Resulting Numbers: [4] 4,41 unequal: No Solution Exploring Operation: 77+81=158, Resulting Numbers: [158] 158,41 unequal: No Solution Exploring Operation: 77*81=6237, Resulting Numbers: [6237] 6237,41 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: 41:[89, 69], Operations: ['4*2=8', '77-8=69'] Exploring Operation: 89+69=158, Resulting Numbers: [158] 158,41 unequal: No Solution Exploring Operation: 89-69=20, Resulting Numbers: [20] 20,41 unequal: No Solution Exploring Operation: 89*69=6141, Resulting Numbers: [6141] 6141,41 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: 41:[2, 89, 73], Operations: ['77-4=73'] Exploring Operation: 89-73=16, Resulting Numbers: [2, 16] Generated Node #0,2,0: 41:[2, 16] Operation: 89-73=16 Exploring Operation: 73-2=71, Resulting Numbers: [89, 71] Generated Node #0,2,1: 41:[89, 71] Operation: 73-2=71 Exploring Operation: 89-2=87, Resulting Numbers: [73, 87] Generated Node #0,2,2: 41:[73, 87] Operation: 89-2=87 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 41:[2, 16], Operations: ['77-4=73', '89-73=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 2*16=32, Resulting Numbers: [32] 32,41 unequal: No Solution Exploring Operation: 16-2=14, Resulting Numbers: [14] 14,41 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: 41:[89, 71], Operations: ['77-4=73', '73-2=71'] Exploring Operation: 89-71=18, Resulting Numbers: [18] 18,41 unequal: No Solution Exploring Operation: 89*71=6319, Resulting Numbers: [6319] 6319,41 unequal: No Solution Exploring Operation: 89+71=160, Resulting Numbers: [160] 160,41 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: 41:[73, 87], Operations: ['77-4=73', '89-2=87'] Exploring Operation: 73+87=160, Resulting Numbers: [160] 160,41 unequal: No Solution Exploring Operation: 87-73=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 73*87=6351, Resulting Numbers: [6351] 6351,41 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_3
mult_heuristic
[ 45, 53, 84, 42 ]
50
[ "53-45=8", "84-42=42", "8+42=50" ]
Current State: 50:[45, 53, 84, 42], Operations: [] Exploring Operation: 53-45=8, Resulting Numbers: [84, 42, 8] Generated Node #2: [84, 42, 8] from Operation: 53-45=8 Current State: 50:[84, 42, 8], Operations: ['53-45=8'] Exploring Operation: 84-42=42, Resulting Numbers: [8, 42] Generated Node #3: [8, 42] from Operation: 84-42=42 Current State: 50:[8, 42], Operations: ['53-45=8', '84-42=42'] Exploring Operation: 8+42=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[45, 53, 84, 42], Operations: [] Exploring Operation: 84/42=2, Resulting Numbers: [45, 53, 2] Generated Node #0,0: 50:[45, 53, 2] Operation: 84/42=2 Exploring Operation: 84-42=42, Resulting Numbers: [45, 53, 42] Generated Node #0,1: 50:[45, 53, 42] Operation: 84-42=42 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[45, 53, 2], Operations: ['84/42=2'] Exploring Operation: 53-45=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 50:[2, 8] Operation: 53-45=8 Exploring Operation: 45+2=47, Resulting Numbers: [53, 47] Generated Node #0,0,1: 50:[53, 47] Operation: 45+2=47 Moving to Node #0,0,0 Current State: 50:[2, 8], Operations: ['84/42=2', '53-45=8'] Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,50 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,50 unequal: No Solution Moving to Node #0,0,1 Current State: 50:[53, 47], Operations: ['84/42=2', '45+2=47'] Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,50 unequal: No Solution Exploring Operation: 53+47=100, Resulting Numbers: [100] 100,50 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: 50:[45, 53, 42], Operations: ['84-42=42'] Exploring Operation: 53-42=11, Resulting Numbers: [45, 11] Generated Node #0,1,0: 50:[45, 11] Operation: 53-42=11 Exploring Operation: 45-42=3, Resulting Numbers: [53, 3] Generated Node #0,1,1: 50:[53, 3] Operation: 45-42=3 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 50:[53, 3], Operations: ['84-42=42', '45-42=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[45, 53, 84, 42], Operations: [] Exploring Operation: 84-42=42, Resulting Numbers: [45, 53, 42] Generated Node #0,1: 50:[45, 53, 42] Operation: 84-42=42 Moving to Node #0,1 Current State: 50:[45, 53, 42], Operations: ['84-42=42'] Exploring Operation: 45-42=3, Resulting Numbers: [53, 3] Generated Node #0,1,1: 50:[53, 3] Operation: 45-42=3 Moving to Node #0,1,1 Current State: 50:[53, 3], Operations: ['84-42=42', '45-42=3'] Exploring Operation: 53-3=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_2
sum_heuristic
[ 96, 83, 78, 67 ]
72
[ "83-67=16", "96/16=6", "78-6=72" ]
Current State: 72:[96, 83, 78, 67], Operations: [] Exploring Operation: 83-67=16, Resulting Numbers: [96, 78, 16] Generated Node #2: [96, 78, 16] from Operation: 83-67=16 Current State: 72:[96, 78, 16], Operations: ['83-67=16'] Exploring Operation: 96/16=6, Resulting Numbers: [78, 6] Generated Node #3: [78, 6] from Operation: 96/16=6 Current State: 72:[78, 6], Operations: ['83-67=16', '96/16=6'] Exploring Operation: 78-6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[96, 83, 78, 67], Operations: [] Exploring Operation: 96-83=13, Resulting Numbers: [78, 67, 13] Generated Node #0,0: 72:[78, 67, 13] Operation: 96-83=13 Moving to Node #0,0 Current State: 72:[78, 67, 13], Operations: ['96-83=13'] Exploring Operation: 78-67=11, Resulting Numbers: [13, 11] Generated Node #0,0,0: 72:[13, 11] Operation: 78-67=11 Moving to Node #0,0,0 Current State: 72:[13, 11], Operations: ['96-83=13', '78-67=11'] Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,72 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 63, 20, 18, 82 ]
19
[ "63+20=83", "82-18=64", "83-64=19" ]
Current State: 19:[63, 20, 18, 82], Operations: [] Exploring Operation: 63+20=83, Resulting Numbers: [18, 82, 83] Generated Node #2: [18, 82, 83] from Operation: 63+20=83 Current State: 19:[18, 82, 83], Operations: ['63+20=83'] Exploring Operation: 82-18=64, Resulting Numbers: [83, 64] Generated Node #3: [83, 64] from Operation: 82-18=64 Current State: 19:[83, 64], Operations: ['63+20=83', '82-18=64'] Exploring Operation: 83-64=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[63, 20, 18, 82], Operations: [] Exploring Operation: 82-63=19, Resulting Numbers: [20, 18, 19] Generated Node #0,0: 19:[20, 18, 19] Operation: 82-63=19 Start Sub Search at level 1: Moving to Node #0,0 Current State: 19:[20, 18, 19], Operations: ['82-63=19'] Exploring Operation: 20-18=2, Resulting Numbers: [19, 2] Generated Node #0,0,0: 19:[19, 2] Operation: 20-18=2 Moving to Node #0,0,0 Current State: 19:[19, 2], Operations: ['82-63=19', '20-18=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,19 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
[ 10, 66, 96, 24 ]
19
[ "10+66=76", "96/24=4", "76/4=19" ]
Current State: 19:[10, 66, 96, 24], Operations: [] Exploring Operation: 10+66=76, Resulting Numbers: [96, 24, 76] Generated Node #2: [96, 24, 76] from Operation: 10+66=76 Current State: 19:[96, 24, 76], Operations: ['10+66=76'] Exploring Operation: 96/24=4, Resulting Numbers: [76, 4] Generated Node #3: [76, 4] from Operation: 96/24=4 Current State: 19:[76, 4], Operations: ['10+66=76', '96/24=4'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[10, 66, 96, 24], Operations: [] Exploring Operation: 66-24=42, Resulting Numbers: [10, 96, 42] Generated Node #0,0: 19:[10, 96, 42] Operation: 66-24=42 Exploring Operation: 96/24=4, Resulting Numbers: [10, 66, 4] Generated Node #0,1: 19:[10, 66, 4] Operation: 96/24=4 Exploring Operation: 96-66=30, Resulting Numbers: [10, 24, 30] Generated Node #0,2: 19:[10, 24, 30] Operation: 96-66=30 Start Sub Search at level 1: Moving to Node #0,2 Current State: 19:[10, 24, 30], Operations: ['96-66=30'] Exploring Operation: 30-10=20, Resulting Numbers: [24, 20] Generated Node #0,2,0: 19:[24, 20] Operation: 30-10=20 Exploring Operation: 30/10=3, Resulting Numbers: [24, 3] Generated Node #0,2,1: 19:[24, 3] Operation: 30/10=3 Exploring Operation: 24-10=14, Resulting Numbers: [30, 14] Generated Node #0,2,2: 19:[30, 14] Operation: 24-10=14 Moving to Node #0,2,0 Current State: 19:[24, 20], Operations: ['96-66=30', '30-10=20'] Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,19 unequal: No Solution Exploring Operation: 24*20=480, Resulting Numbers: [480] 480,19 unequal: No Solution Exploring Operation: 24+20=44, Resulting Numbers: [44] 44,19 unequal: No Solution Moving to Node #0,2,2 Current State: 19:[30, 14], Operations: ['96-66=30', '24-10=14'] Exploring Operation: 30*14=420, Resulting Numbers: [420] 420,19 unequal: No Solution Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,19 unequal: No Solution Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,19 unequal: No Solution Moving to Node #0,2,1 Current State: 19:[24, 3], Operations: ['96-66=30', '30/10=3'] Exploring Operation: 24-3=21, Resulting Numbers: [21] 21,19 unequal: No Solution Exploring Operation: 24+3=27, Resulting Numbers: [27] 27,19 unequal: No Solution Exploring Operation: 24/3=8, Resulting Numbers: [8] 8,19 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 Current State: 19:[10, 66, 4], Operations: ['96/24=4'] Exploring Operation: 66-4=62, Resulting Numbers: [10, 62] Generated Node #0,1,0: 19:[10, 62] Operation: 66-4=62 Exploring Operation: 10+4=14, Resulting Numbers: [66, 14] Generated Node #0,1,1: 19:[66, 14] Operation: 10+4=14 Exploring Operation: 66-10=56, Resulting Numbers: [4, 56] Generated Node #0,1,2: 19:[4, 56] Operation: 66-10=56 Moving to Node #0,1,0 Current State: 19:[10, 62], Operations: ['96/24=4', '66-4=62'] Exploring Operation: 10+62=72, Resulting Numbers: [72] 72,19 unequal: No Solution Exploring Operation: 62-10=52, Resulting Numbers: [52] 52,19 unequal: No Solution Exploring Operation: 10*62=620, Resulting Numbers: [620] 620,19 unequal: No Solution Moving to Node #0,1,1 Current State: 19:[66, 14], Operations: ['96/24=4', '10+4=14'] Exploring Operation: 66-14=52, Resulting Numbers: [52] 52,19 unequal: No Solution Exploring Operation: 66+14=80, Resulting Numbers: [80] 80,19 unequal: No Solution Exploring Operation: 66*14=924, Resulting Numbers: [924] 924,19 unequal: No Solution Moving to Node #0,1,2 Current State: 19:[4, 56], Operations: ['96/24=4', '66-10=56'] Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,19 unequal: No Solution Exploring Operation: 4+56=60, Resulting Numbers: [60] 60,19 unequal: No Solution Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,19 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 #0,0 Current State: 19:[10, 96, 42], Operations: ['66-24=42'] Exploring Operation: 42-10=32, Resulting Numbers: [96, 32] Generated Node #0,0,0: 19:[96, 32] Operation: 42-10=32 Exploring Operation: 96-42=54, Resulting Numbers: [10, 54] Generated Node #0,0,1: 19:[10, 54] Operation: 96-42=54 Exploring Operation: 96-10=86, Resulting Numbers: [42, 86] Generated Node #0,0,2: 19:[42, 86] Operation: 96-10=86 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 19:[10, 54], Operations: ['66-24=42', '96-42=54'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,19 unequal: No Solution Exploring Operation: 10+54=64, Resulting Numbers: [64] 64,19 unequal: No Solution Exploring Operation: 10*54=540, Resulting Numbers: [540] 540,19 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: 19:[96, 32], Operations: ['66-24=42', '42-10=32'] Exploring Operation: 96/32=3, Resulting Numbers: [3] 3,19 unequal: No Solution Exploring Operation: 96-32=64, Resulting Numbers: [64] 64,19 unequal: No Solution Exploring Operation: 96+32=128, Resulting Numbers: [128] 128,19 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: 19:[42, 86], Operations: ['66-24=42', '96-10=86'] Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,19 unequal: No Solution Exploring Operation: 42*86=3612, Resulting Numbers: [3612] 3612,19 unequal: No Solution Exploring Operation: 42+86=128, Resulting Numbers: [128] 128,19 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_3
mult_heuristic
[ 47, 48, 75, 10 ]
65
[ "48-47=1", "75-10=65", "1*65=65" ]
Current State: 65:[47, 48, 75, 10], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [75, 10, 1] Generated Node #2: [75, 10, 1] from Operation: 48-47=1 Current State: 65:[75, 10, 1], Operations: ['48-47=1'] Exploring Operation: 75-10=65, Resulting Numbers: [1, 65] Generated Node #3: [1, 65] from Operation: 75-10=65 Current State: 65:[1, 65], Operations: ['48-47=1', '75-10=65'] Exploring Operation: 1*65=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
Current State: 65:[47, 48, 75, 10], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [75, 10, 1] Generated Node #0,0: 65:[75, 10, 1] Operation: 48-47=1 Exploring Operation: 75-47=28, Resulting Numbers: [48, 10, 28] Generated Node #0,1: 65:[48, 10, 28] Operation: 75-47=28 Moving to Node #0,0 Current State: 65:[75, 10, 1], Operations: ['48-47=1'] Exploring Operation: 75-10=65, Resulting Numbers: [1, 65] Generated Node #0,0,0: 65:[1, 65] Operation: 75-10=65 Exploring Operation: 75-1=74, Resulting Numbers: [10, 74] Generated Node #0,0,1: 65:[10, 74] Operation: 75-1=74 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 65:[1, 65], Operations: ['48-47=1', '75-10=65'] Exploring Operation: 65/1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[47, 48, 75, 10], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [75, 10, 1] Generated Node #0,0: 65:[75, 10, 1] Operation: 48-47=1 Moving to Node #0,0 Current State: 65:[75, 10, 1], Operations: ['48-47=1'] Exploring Operation: 75-10=65, Resulting Numbers: [1, 65] Generated Node #0,0,0: 65:[1, 65] Operation: 75-10=65 Moving to Node #0,0,0 Current State: 65:[1, 65], Operations: ['48-47=1', '75-10=65'] Exploring Operation: 65/1=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 48, 81, 39, 67 ]
76
[ "48-39=9", "81/9=9", "67+9=76" ]
Current State: 76:[48, 81, 39, 67], Operations: [] Exploring Operation: 48-39=9, Resulting Numbers: [81, 67, 9] Generated Node #2: [81, 67, 9] from Operation: 48-39=9 Current State: 76:[81, 67, 9], Operations: ['48-39=9'] Exploring Operation: 81/9=9, Resulting Numbers: [67, 9] Generated Node #3: [67, 9] from Operation: 81/9=9 Current State: 76:[67, 9], Operations: ['48-39=9', '81/9=9'] Exploring Operation: 67+9=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[48, 81, 39, 67], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [48, 39, 14] Generated Node #0,0: 76:[48, 39, 14] Operation: 81-67=14 Exploring Operation: 67-48=19, Resulting Numbers: [81, 39, 19] Generated Node #0,1: 76:[81, 39, 19] Operation: 67-48=19 Exploring Operation: 81-48=33, Resulting Numbers: [39, 67, 33] Generated Node #0,2: 76:[39, 67, 33] Operation: 81-48=33 Moving to Node #0,1 Current State: 76:[81, 39, 19], Operations: ['67-48=19'] Exploring Operation: 81-39=42, Resulting Numbers: [19, 42] Generated Node #0,1,0: 76:[19, 42] Operation: 81-39=42 Exploring Operation: 39-19=20, Resulting Numbers: [81, 20] Generated Node #0,1,1: 76:[81, 20] Operation: 39-19=20 Exploring Operation: 81-19=62, Resulting Numbers: [39, 62] Generated Node #0,1,2: 76:[39, 62] Operation: 81-19=62 Moving to Node #0,2 Current State: 76:[39, 67, 33], Operations: ['81-48=33'] Exploring Operation: 39+33=72, Resulting Numbers: [67, 72] Generated Node #0,2,0: 76:[67, 72] Operation: 39+33=72 Exploring Operation: 67-33=34, Resulting Numbers: [39, 34] Generated Node #0,2,1: 76:[39, 34] Operation: 67-33=34 Exploring Operation: 39-33=6, Resulting Numbers: [67, 6] Generated Node #0,2,2: 76:[67, 6] Operation: 39-33=6 Moving to Node #0,0 Current State: 76:[48, 39, 14], Operations: ['81-67=14'] Exploring Operation: 48+14=62, Resulting Numbers: [39, 62] Generated Node #0,0,0: 76:[39, 62] Operation: 48+14=62 Exploring Operation: 48-14=34, Resulting Numbers: [39, 34] Generated Node #0,0,1: 76:[39, 34] Operation: 48-14=34 Exploring Operation: 48-39=9, Resulting Numbers: [14, 9] Generated Node #0,0,2: 76:[14, 9] Operation: 48-39=9 Moving to Node #0,1,0 Current State: 76:[19, 42], Operations: ['67-48=19', '81-39=42'] Exploring Operation: 19+42=61, Resulting Numbers: [61] 61,76 unequal: No Solution Exploring Operation: 19*42=798, Resulting Numbers: [798] 798,76 unequal: No Solution Exploring Operation: 42-19=23, Resulting Numbers: [23] 23,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[39, 34], Operations: ['81-67=14', '48-14=34'] Exploring Operation: 39-34=5, Resulting Numbers: [5] 5,76 unequal: No Solution Exploring Operation: 39*34=1326, Resulting Numbers: [1326] 1326,76 unequal: No Solution Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[39, 34], Operations: ['81-48=33', '67-33=34'] Exploring Operation: 39-34=5, Resulting Numbers: [5] 5,76 unequal: No Solution Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,76 unequal: No Solution Exploring Operation: 39*34=1326, Resulting Numbers: [1326] 1326,76 unequal: No Solution Moving to Node #0,1,1 Current State: 76:[81, 20], Operations: ['67-48=19', '39-19=20'] Exploring Operation: 81*20=1620, Resulting Numbers: [1620] 1620,76 unequal: No Solution Exploring Operation: 81+20=101, Resulting Numbers: [101] 101,76 unequal: No Solution Exploring Operation: 81-20=61, Resulting Numbers: [61] 61,76 unequal: No Solution Moving to Node #0,0,2 Current State: 76:[14, 9], Operations: ['81-67=14', '48-39=9'] Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,76 unequal: No Solution Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 14*9=126, Resulting Numbers: [126] 126,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[67, 6], Operations: ['81-48=33', '39-33=6'] Exploring Operation: 67*6=402, Resulting Numbers: [402] 402,76 unequal: No Solution Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,76 unequal: No Solution Exploring Operation: 67-6=61, Resulting Numbers: [61] 61,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[67, 72], Operations: ['81-48=33', '39+33=72'] Exploring Operation: 67*72=4824, Resulting Numbers: [4824] 4824,76 unequal: No Solution Exploring Operation: 67+72=139, Resulting Numbers: [139] 139,76 unequal: No Solution Exploring Operation: 72-67=5, Resulting Numbers: [5] 5,76 unequal: No Solution Moving to Node #0,0,0 Current State: 76:[39, 62], Operations: ['81-67=14', '48+14=62'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 39*62=2418, Resulting Numbers: [2418] 2418,76 unequal: No Solution Exploring Operation: 39+62=101, Resulting Numbers: [101] 101,76 unequal: No Solution Moving to Node #0,1,2 Current State: 76:[39, 62], Operations: ['67-48=19', '81-19=62'] Exploring Operation: 39+62=101, Resulting Numbers: [101] 101,76 unequal: No Solution Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,76 unequal: No Solution Exploring Operation: 39*62=2418, Resulting Numbers: [2418] 2418,76 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 17, 2, 38, 67 ]
13
[ "67-17=50", "50/2=25", "38-25=13" ]
Current State: 13:[17, 2, 38, 67], Operations: [] Exploring Operation: 67-17=50, Resulting Numbers: [2, 38, 50] Generated Node #2: [2, 38, 50] from Operation: 67-17=50 Current State: 13:[2, 38, 50], Operations: ['67-17=50'] Exploring Operation: 50/2=25, Resulting Numbers: [38, 25] Generated Node #3: [38, 25] from Operation: 50/2=25 Current State: 13:[38, 25], Operations: ['67-17=50', '50/2=25'] Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[17, 2, 38, 67], Operations: [] Exploring Operation: 67-38=29, Resulting Numbers: [17, 2, 29] Generated Node #0,0: 13:[17, 2, 29] Operation: 67-38=29 Exploring Operation: 38-17=21, Resulting Numbers: [2, 67, 21] Generated Node #0,1: 13:[2, 67, 21] Operation: 38-17=21 Exploring Operation: 38/2=19, Resulting Numbers: [17, 67, 19] Generated Node #0,2: 13:[17, 67, 19] Operation: 38/2=19 Start Sub Search at level 1: Moving to Node #0,0 Current State: 13:[17, 2, 29], Operations: ['67-38=29'] Exploring Operation: 29-17=12, Resulting Numbers: [2, 12] Generated Node #0,0,0: 13:[2, 12] Operation: 29-17=12 Exploring Operation: 17-2=15, Resulting Numbers: [29, 15] Generated Node #0,0,1: 13:[29, 15] Operation: 17-2=15 Exploring Operation: 29-2=27, Resulting Numbers: [17, 27] Generated Node #0,0,2: 13:[17, 27] Operation: 29-2=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 13:[2, 12], Operations: ['67-38=29', '29-17=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,13 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,13 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,13 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: 13:[29, 15], Operations: ['67-38=29', '17-2=15'] Exploring Operation: 29-15=14, Resulting Numbers: [14] 14,13 unequal: No Solution Exploring Operation: 29*15=435, Resulting Numbers: [435] 435,13 unequal: No Solution Exploring Operation: 29+15=44, Resulting Numbers: [44] 44,13 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: 13:[17, 27], Operations: ['67-38=29', '29-2=27'] Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,13 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,13 unequal: No Solution Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,13 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: 13:[17, 67, 19], Operations: ['38/2=19'] Exploring Operation: 67-19=48, Resulting Numbers: [17, 48] Generated Node #0,2,0: 13:[17, 48] Operation: 67-19=48 Exploring Operation: 67-17=50, Resulting Numbers: [19, 50] Generated Node #0,2,1: 13:[19, 50] Operation: 67-17=50 Exploring Operation: 19-17=2, Resulting Numbers: [67, 2] Generated Node #0,2,2: 13:[67, 2] Operation: 19-17=2 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 13:[17, 48], Operations: ['38/2=19', '67-19=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,13 unequal: No Solution Exploring Operation: 17*48=816, Resulting Numbers: [816] 816,13 unequal: No Solution Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,13 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: 13:[19, 50], Operations: ['38/2=19', '67-17=50'] Exploring Operation: 19+50=69, Resulting Numbers: [69] 69,13 unequal: No Solution Exploring Operation: 19*50=950, Resulting Numbers: [950] 950,13 unequal: No Solution Exploring Operation: 50-19=31, Resulting Numbers: [31] 31,13 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: 13:[67, 2], Operations: ['38/2=19', '19-17=2'] Exploring Operation: 67-2=65, Resulting Numbers: [65] 65,13 unequal: No Solution Exploring Operation: 67*2=134, Resulting Numbers: [134] 134,13 unequal: No Solution Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,13 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: 13:[2, 67, 21], Operations: ['38-17=21'] Exploring Operation: 67-2=65, Resulting Numbers: [21, 65] Generated Node #0,1,0: 13:[21, 65] Operation: 67-2=65 Exploring Operation: 67-21=46, Resulting Numbers: [2, 46] Generated Node #0,1,1: 13:[2, 46] Operation: 67-21=46 Exploring Operation: 21-2=19, Resulting Numbers: [67, 19] Generated Node #0,1,2: 13:[67, 19] Operation: 21-2=19 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 13:[2, 46], Operations: ['38-17=21', '67-21=46'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,13 unequal: No Solution Exploring Operation: 46-2=44, Resulting Numbers: [44] 44,13 unequal: No Solution Exploring Operation: 2+46=48, Resulting Numbers: [48] 48,13 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: 13:[21, 65], Operations: ['38-17=21', '67-2=65'] Exploring Operation: 21*65=1365, Resulting Numbers: [1365] 1365,13 unequal: No Solution Exploring Operation: 21+65=86, Resulting Numbers: [86] 86,13 unequal: No Solution Exploring Operation: 65-21=44, Resulting Numbers: [44] 44,13 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: 13:[67, 19], Operations: ['38-17=21', '21-2=19'] Exploring Operation: 67+19=86, Resulting Numbers: [86] 86,13 unequal: No Solution Exploring Operation: 67-19=48, Resulting Numbers: [48] 48,13 unequal: No Solution Exploring Operation: 67*19=1273, Resulting Numbers: [1273] 1273,13 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_3
sum_heuristic
[ 8, 57, 96, 89 ]
58
[ "8+57=65", "96-89=7", "65-7=58" ]
Current State: 58:[8, 57, 96, 89], Operations: [] Exploring Operation: 8+57=65, Resulting Numbers: [96, 89, 65] Generated Node #2: [96, 89, 65] from Operation: 8+57=65 Current State: 58:[96, 89, 65], Operations: ['8+57=65'] Exploring Operation: 96-89=7, Resulting Numbers: [65, 7] Generated Node #3: [65, 7] from Operation: 96-89=7 Current State: 58:[65, 7], Operations: ['8+57=65', '96-89=7'] Exploring Operation: 65-7=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[8, 57, 96, 89], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [8, 57, 7] Generated Node #0,0: 58:[8, 57, 7] Operation: 96-89=7 Exploring Operation: 96-8=88, Resulting Numbers: [57, 89, 88] Generated Node #0,1: 58:[57, 89, 88] Operation: 96-8=88 Exploring Operation: 96-57=39, Resulting Numbers: [8, 89, 39] Generated Node #0,2: 58:[8, 89, 39] Operation: 96-57=39 Exploring Operation: 89-57=32, Resulting Numbers: [8, 96, 32] Generated Node #0,3: 58:[8, 96, 32] Operation: 89-57=32 Exploring Operation: 96/8=12, Resulting Numbers: [57, 89, 12] Generated Node #0,4: 58:[57, 89, 12] Operation: 96/8=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 58:[8, 57, 7], Operations: ['96-89=7'] Exploring Operation: 57-8=49, Resulting Numbers: [7, 49] Generated Node #0,0,0: 58:[7, 49] Operation: 57-8=49 Exploring Operation: 8-7=1, Resulting Numbers: [57, 1] Generated Node #0,0,1: 58:[57, 1] Operation: 8-7=1 Exploring Operation: 8+57=65, Resulting Numbers: [7, 65] Generated Node #0,0,2: 58:[7, 65] Operation: 8+57=65 Exploring Operation: 8*7=56, Resulting Numbers: [57, 56] Generated Node #0,0,3: 58:[57, 56] Operation: 8*7=56 Exploring Operation: 57+7=64, Resulting Numbers: [8, 64] Generated Node #0,0,4: 58:[8, 64] Operation: 57+7=64 Moving to Node #0,0,1 Current State: 58:[57, 1], Operations: ['96-89=7', '8-7=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[8, 57, 96, 89], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [8, 57, 7] Generated Node #0,0: 58:[8, 57, 7] Operation: 96-89=7 Moving to Node #0,0 Current State: 58:[8, 57, 7], Operations: ['96-89=7'] Exploring Operation: 8-7=1, Resulting Numbers: [57, 1] Generated Node #0,0,1: 58:[57, 1] Operation: 8-7=1 Moving to Node #0,0,1 Current State: 58:[57, 1], Operations: ['96-89=7', '8-7=1'] Exploring Operation: 57+1=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 58, 33, 91, 62 ]
93
[ "62-33=29", "58/29=2", "91+2=93" ]
Current State: 93:[58, 33, 91, 62], Operations: [] Exploring Operation: 62-33=29, Resulting Numbers: [58, 91, 29] Generated Node #2: [58, 91, 29] from Operation: 62-33=29 Current State: 93:[58, 91, 29], Operations: ['62-33=29'] Exploring Operation: 58/29=2, Resulting Numbers: [91, 2] Generated Node #3: [91, 2] from Operation: 58/29=2 Current State: 93:[91, 2], Operations: ['62-33=29', '58/29=2'] Exploring Operation: 91+2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[58, 33, 91, 62], Operations: [] Exploring Operation: 62-58=4, Resulting Numbers: [33, 91, 4] Generated Node #0,0: 93:[33, 91, 4] Operation: 62-58=4 Moving to Node #0,0 Current State: 93:[33, 91, 4], Operations: ['62-58=4'] Exploring Operation: 33-4=29, Resulting Numbers: [91, 29] Generated Node #0,0,0: 93:[91, 29] Operation: 33-4=29 Moving to Node #0,0,0 Current State: 93:[91, 29], Operations: ['62-58=4', '33-4=29'] Exploring Operation: 91+29=120, Resulting Numbers: [120] 120,93 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 17, 8, 31, 18 ]
40
[ "17-8=9", "31+18=49", "49-9=40" ]
Current State: 40:[17, 8, 31, 18], Operations: [] Exploring Operation: 17-8=9, Resulting Numbers: [31, 18, 9] Generated Node #2: [31, 18, 9] from Operation: 17-8=9 Current State: 40:[31, 18, 9], Operations: ['17-8=9'] Exploring Operation: 31+18=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 31+18=49 Current State: 40:[9, 49], Operations: ['17-8=9', '31+18=49'] Exploring Operation: 49-9=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[17, 8, 31, 18], Operations: [] Exploring Operation: 31-17=14, Resulting Numbers: [8, 18, 14] Generated Node #0,0: 40:[8, 18, 14] Operation: 31-17=14 Exploring Operation: 8+31=39, Resulting Numbers: [17, 18, 39] Generated Node #0,1: 40:[17, 18, 39] Operation: 8+31=39 Moving to Node #0,0 Current State: 40:[8, 18, 14], Operations: ['31-17=14'] Exploring Operation: 18-14=4, Resulting Numbers: [8, 4] Generated Node #0,0,0: 40:[8, 4] Operation: 18-14=4 Exploring Operation: 14-8=6, Resulting Numbers: [18, 6] Generated Node #0,0,1: 40:[18, 6] Operation: 14-8=6 Moving to Node #0,1 Current State: 40:[17, 18, 39], Operations: ['8+31=39'] Exploring Operation: 18-17=1, Resulting Numbers: [39, 1] Generated Node #0,1,0: 40:[39, 1] Operation: 18-17=1 Exploring Operation: 39-17=22, Resulting Numbers: [18, 22] Generated Node #0,1,1: 40:[18, 22] Operation: 39-17=22 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 40:[39, 1], Operations: ['8+31=39', '18-17=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,40 unequal: No Solution Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[17, 8, 31, 18], Operations: [] Exploring Operation: 8+31=39, Resulting Numbers: [17, 18, 39] Generated Node #0,1: 40:[17, 18, 39] Operation: 8+31=39 Moving to Node #0,1 Current State: 40:[17, 18, 39], Operations: ['8+31=39'] Exploring Operation: 18-17=1, Resulting Numbers: [39, 1] Generated Node #0,1,0: 40:[39, 1] Operation: 18-17=1 Moving to Node #0,1,0 Current State: 40:[39, 1], Operations: ['8+31=39', '18-17=1'] Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_2
sum_heuristic
[ 50, 91, 36, 32 ]
45
[ "91-50=41", "36-32=4", "41+4=45" ]
Current State: 45:[50, 91, 36, 32], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [36, 32, 41] Generated Node #2: [36, 32, 41] from Operation: 91-50=41 Current State: 45:[36, 32, 41], Operations: ['91-50=41'] Exploring Operation: 36-32=4, Resulting Numbers: [41, 4] Generated Node #3: [41, 4] from Operation: 36-32=4 Current State: 45:[41, 4], Operations: ['91-50=41', '36-32=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[50, 91, 36, 32], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [36, 32, 41] Generated Node #0,0: 45:[36, 32, 41] Operation: 91-50=41 Start Sub Search at level 1: Moving to Node #0,0 Current State: 45:[36, 32, 41], Operations: ['91-50=41'] Exploring Operation: 36-32=4, Resulting Numbers: [41, 4] Generated Node #0,0,0: 45:[41, 4] Operation: 36-32=4 Moving to Node #0,0,0 Current State: 45:[41, 4], Operations: ['91-50=41', '36-32=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[50, 91, 36, 32], Operations: [] Exploring Operation: 91-50=41, Resulting Numbers: [36, 32, 41] Generated Node #0,0: 45:[36, 32, 41] Operation: 91-50=41 Moving to Node #0,0 Current State: 45:[36, 32, 41], Operations: ['91-50=41'] Exploring Operation: 36-32=4, Resulting Numbers: [41, 4] Generated Node #0,0,0: 45:[41, 4] Operation: 36-32=4 Moving to Node #0,0,0 Current State: 45:[41, 4], Operations: ['91-50=41', '36-32=4'] Exploring Operation: 41+4=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 98, 9, 36, 53 ]
41
[ "98-53=45", "36/9=4", "45-4=41" ]
Current State: 41:[98, 9, 36, 53], Operations: [] Exploring Operation: 98-53=45, Resulting Numbers: [9, 36, 45] Generated Node #2: [9, 36, 45] from Operation: 98-53=45 Current State: 41:[9, 36, 45], Operations: ['98-53=45'] Exploring Operation: 36/9=4, Resulting Numbers: [45, 4] Generated Node #3: [45, 4] from Operation: 36/9=4 Current State: 41:[45, 4], Operations: ['98-53=45', '36/9=4'] Exploring Operation: 45-4=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[98, 9, 36, 53], Operations: [] Exploring Operation: 98-9=89, Resulting Numbers: [36, 53, 89] Generated Node #0,0: 41:[36, 53, 89] Operation: 98-9=89 Exploring Operation: 98-53=45, Resulting Numbers: [9, 36, 45] Generated Node #0,1: 41:[9, 36, 45] Operation: 98-53=45 Start Sub Search at level 1: Moving to Node #0,1 Current State: 41:[9, 36, 45], Operations: ['98-53=45'] Exploring Operation: 9+36=45, Resulting Numbers: [45, 45] Generated Node #0,1,0: 41:[45, 45] Operation: 9+36=45 Exploring Operation: 45-9=36, Resulting Numbers: [36, 36] Generated Node #0,1,1: 41:[36, 36] Operation: 45-9=36 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 41:[45, 45], Operations: ['98-53=45', '9+36=45'] Exploring Operation: 45-45=0, Resulting Numbers: [0] 0,41 unequal: No Solution Exploring Operation: 45/45=1, Resulting Numbers: [1] 1,41 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: 41:[36, 36], Operations: ['98-53=45', '45-9=36'] Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,41 unequal: No Solution Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,41 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: 41:[36, 53, 89], Operations: ['98-9=89'] Exploring Operation: 89-36=53, Resulting Numbers: [53, 53] Generated Node #0,0,0: 41:[53, 53] Operation: 89-36=53 Exploring Operation: 89-53=36, Resulting Numbers: [36, 36] Generated Node #0,0,1: 41:[36, 36] Operation: 89-53=36 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 41:[36, 36], Operations: ['98-9=89', '89-53=36'] Exploring Operation: 36+36=72, Resulting Numbers: [72] 72,41 unequal: No Solution Exploring Operation: 36/36=1, Resulting Numbers: [1] 1,41 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: 41:[53, 53], Operations: ['98-9=89', '89-36=53'] Exploring Operation: 53/53=1, Resulting Numbers: [1] 1,41 unequal: No Solution Exploring Operation: 53-53=0, Resulting Numbers: [0] 0,41 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
[ 23, 20, 34, 32 ]
22
[ "23-20=3", "34+32=66", "66/3=22" ]
Current State: 22:[23, 20, 34, 32], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [34, 32, 3] Generated Node #2: [34, 32, 3] from Operation: 23-20=3 Current State: 22:[34, 32, 3], Operations: ['23-20=3'] Exploring Operation: 34+32=66, Resulting Numbers: [3, 66] Generated Node #3: [3, 66] from Operation: 34+32=66 Current State: 22:[3, 66], Operations: ['23-20=3', '34+32=66'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[23, 20, 34, 32], Operations: [] Exploring Operation: 32-20=12, Resulting Numbers: [23, 34, 12] Generated Node #0,0: 22:[23, 34, 12] Operation: 32-20=12 Exploring Operation: 34-32=2, Resulting Numbers: [23, 20, 2] Generated Node #0,1: 22:[23, 20, 2] Operation: 34-32=2 Exploring Operation: 32-23=9, Resulting Numbers: [20, 34, 9] Generated Node #0,2: 22:[20, 34, 9] Operation: 32-23=9 Exploring Operation: 34-20=14, Resulting Numbers: [23, 32, 14] Generated Node #0,3: 22:[23, 32, 14] Operation: 34-20=14 Exploring Operation: 34-23=11, Resulting Numbers: [20, 32, 11] Generated Node #0,4: 22:[20, 32, 11] Operation: 34-23=11 Start Sub Search at level 1: Moving to Node #0,1 Current State: 22:[23, 20, 2], Operations: ['34-32=2'] Exploring Operation: 23-2=21, Resulting Numbers: [20, 21] Generated Node #0,1,0: 22:[20, 21] Operation: 23-2=21 Exploring Operation: 20/2=10, Resulting Numbers: [23, 10] Generated Node #0,1,1: 22:[23, 10] Operation: 20/2=10 Exploring Operation: 23+2=25, Resulting Numbers: [20, 25] Generated Node #0,1,2: 22:[20, 25] Operation: 23+2=25 Exploring Operation: 20+2=22, Resulting Numbers: [23, 22] Generated Node #0,1,3: 22:[23, 22] Operation: 20+2=22 Exploring Operation: 23-20=3, Resulting Numbers: [2, 3] Generated Node #0,1,4: 22:[2, 3] Operation: 23-20=3 Moving to Node #0,1,3 Current State: 22:[23, 22], Operations: ['34-32=2', '20+2=22'] Exploring Operation: 23*22=506, Resulting Numbers: [506] 506,22 unequal: No Solution Exploring Operation: 23+22=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,22 unequal: No Solution Moving to Node #0,1,4 Current State: 22:[2, 3], Operations: ['34-32=2', '23-20=3'] Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,22 unequal: No Solution Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,22 unequal: No Solution Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,22 unequal: No Solution Moving to Node #0,1,1 Current State: 22:[23, 10], Operations: ['34-32=2', '20/2=10'] Exploring Operation: 23*10=230, Resulting Numbers: [230] 230,22 unequal: No Solution Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,22 unequal: No Solution Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,22 unequal: No Solution Moving to Node #0,1,0 Current State: 22:[20, 21], Operations: ['34-32=2', '23-2=21'] Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,22 unequal: No Solution Exploring Operation: 20*21=420, Resulting Numbers: [420] 420,22 unequal: No Solution Exploring Operation: 21-20=1, Resulting Numbers: [1] 1,22 unequal: No Solution Moving to Node #0,1,2 Current State: 22:[20, 25], Operations: ['34-32=2', '23+2=25'] Exploring Operation: 20*25=500, Resulting Numbers: [500] 500,22 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,22 unequal: No Solution Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,22 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: 22:[20, 32, 11], Operations: ['34-23=11'] Exploring Operation: 20+11=31, Resulting Numbers: [32, 31] Generated Node #0,4,0: 22:[32, 31] Operation: 20+11=31 Exploring Operation: 32-20=12, Resulting Numbers: [11, 12] Generated Node #0,4,1: 22:[11, 12] Operation: 32-20=12 Exploring Operation: 20-11=9, Resulting Numbers: [32, 9] Generated Node #0,4,2: 22:[32, 9] Operation: 20-11=9 Exploring Operation: 32-11=21, Resulting Numbers: [20, 21] Generated Node #0,4,3: 22:[20, 21] Operation: 32-11=21 Exploring Operation: 32+11=43, Resulting Numbers: [20, 43] Generated Node #0,4,4: 22:[20, 43] Operation: 32+11=43 Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 22:[11, 12], Operations: ['34-23=11', '32-20=12'] Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 11*12=132, Resulting Numbers: [132] 132,22 unequal: No Solution Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,22 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 #0,4,3 Current State: 22:[20, 21], Operations: ['34-23=11', '32-11=21'] Exploring Operation: 20*21=420, Resulting Numbers: [420] 420,22 unequal: No Solution Exploring Operation: 21-20=1, Resulting Numbers: [1] 1,22 unequal: No Solution Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,22 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 #0,4,2 Current State: 22:[32, 9], Operations: ['34-23=11', '20-11=9'] Exploring Operation: 32*9=288, Resulting Numbers: [288] 288,22 unequal: No Solution Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,22 unequal: No Solution Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,22 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 #0,4,0 Current State: 22:[32, 31], Operations: ['34-23=11', '20+11=31'] Exploring Operation: 32-31=1, Resulting Numbers: [1] 1,22 unequal: No Solution Exploring Operation: 32*31=992, Resulting Numbers: [992] 992,22 unequal: No Solution Exploring Operation: 32+31=63, Resulting Numbers: [63] 63,22 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 #0,4,4 Current State: 22:[20, 43], Operations: ['34-23=11', '32+11=43'] Exploring Operation: 20*43=860, Resulting Numbers: [860] 860,22 unequal: No Solution Exploring Operation: 43-20=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 20+43=63, Resulting Numbers: [63] 63,22 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 #0,0 Current State: 22:[23, 34, 12], Operations: ['32-20=12'] Exploring Operation: 34-23=11, Resulting Numbers: [12, 11] Generated Node #0,0,0: 22:[12, 11] Operation: 34-23=11 Exploring Operation: 23+12=35, Resulting Numbers: [34, 35] Generated Node #0,0,1: 22:[34, 35] Operation: 23+12=35 Exploring Operation: 34+12=46, Resulting Numbers: [23, 46] Generated Node #0,0,2: 22:[23, 46] Operation: 34+12=46 Exploring Operation: 23-12=11, Resulting Numbers: [34, 11] Generated Node #0,0,3: 22:[34, 11] Operation: 23-12=11 Exploring Operation: 34-12=22, Resulting Numbers: [23, 22] Generated Node #0,0,4: 22:[23, 22] Operation: 34-12=22 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 22:[12, 11], Operations: ['32-20=12', '34-23=11'] Exploring Operation: 12*11=132, Resulting Numbers: [132] 132,22 unequal: No Solution Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,22 unequal: No Solution Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,22 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 #0,0,4 Current State: 22:[23, 22], Operations: ['32-20=12', '34-12=22'] Exploring Operation: 23+22=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 23*22=506, Resulting Numbers: [506] 506,22 unequal: No Solution Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,22 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 #0,0,3 Current State: 22:[34, 11], Operations: ['32-20=12', '23-12=11'] Exploring Operation: 34*11=374, Resulting Numbers: [374] 374,22 unequal: No Solution Exploring Operation: 34+11=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,22 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 #0,0,1 Current State: 22:[34, 35], Operations: ['32-20=12', '23+12=35'] Exploring Operation: 34*35=1190, Resulting Numbers: [1190] 1190,22 unequal: No Solution Exploring Operation: 34+35=69, Resulting Numbers: [69] 69,22 unequal: No Solution Exploring Operation: 35-34=1, Resulting Numbers: [1] 1,22 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 #0,0,2 Current State: 22:[23, 46], Operations: ['32-20=12', '34+12=46'] Exploring Operation: 23*46=1058, Resulting Numbers: [1058] 1058,22 unequal: No Solution Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 46/23=2, Resulting Numbers: [2] 2,22 unequal: No Solution Exploring Operation: 23+46=69, Resulting Numbers: [69] 69,22 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 #0,3 Current State: 22:[23, 32, 14], Operations: ['34-20=14'] Exploring Operation: 23-14=9, Resulting Numbers: [32, 9] Generated Node #0,3,0: 22:[32, 9] Operation: 23-14=9 Exploring Operation: 23+14=37, Resulting Numbers: [32, 37] Generated Node #0,3,1: 22:[32, 37] Operation: 23+14=37 Exploring Operation: 32+14=46, Resulting Numbers: [23, 46] Generated Node #0,3,2: 22:[23, 46] Operation: 32+14=46 Exploring Operation: 32-23=9, Resulting Numbers: [14, 9] Generated Node #0,3,3: 22:[14, 9] Operation: 32-23=9 Exploring Operation: 32-14=18, Resulting Numbers: [23, 18] Generated Node #0,3,4: 22:[23, 18] Operation: 32-14=18 Moving to Node #0,3,3 Current State: 22:[14, 9], Operations: ['34-20=14', '32-23=9'] Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,22 unequal: No Solution Exploring Operation: 14*9=126, Resulting Numbers: [126] 126,22 unequal: No Solution Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,22 unequal: No Solution Moving to Node #0,3,4 Current State: 22:[23, 18], Operations: ['34-20=14', '32-14=18'] Exploring Operation: 23+18=41, Resulting Numbers: [41] 41,22 unequal: No Solution Exploring Operation: 23*18=414, Resulting Numbers: [414] 414,22 unequal: No Solution Exploring Operation: 23-18=5, Resulting Numbers: [5] 5,22 unequal: No Solution Moving to Node #0,3,0 Current State: 22:[32, 9], Operations: ['34-20=14', '23-14=9'] Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 32*9=288, Resulting Numbers: [288] 288,22 unequal: No Solution Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,22 unequal: No Solution Moving to Node #0,3,1 Current State: 22:[32, 37], Operations: ['34-20=14', '23+14=37'] Exploring Operation: 37-32=5, Resulting Numbers: [5] 5,22 unequal: No Solution Exploring Operation: 32*37=1184, Resulting Numbers: [1184] 1184,22 unequal: No Solution Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,22 unequal: No Solution Moving to Node #0,3,2 Current State: 22:[23, 46], Operations: ['34-20=14', '32+14=46'] Exploring Operation: 23*46=1058, Resulting Numbers: [1058] 1058,22 unequal: No Solution Exploring Operation: 23+46=69, Resulting Numbers: [69] 69,22 unequal: No Solution Exploring Operation: 46/23=2, Resulting Numbers: [2] 2,22 unequal: No Solution Exploring Operation: 46-23=23, Resulting Numbers: [23] 23,22 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: 22:[20, 34, 9], Operations: ['32-23=9'] Exploring Operation: 20+9=29, Resulting Numbers: [34, 29] Generated Node #0,2,0: 22:[34, 29] Operation: 20+9=29 Exploring Operation: 34-9=25, Resulting Numbers: [20, 25] Generated Node #0,2,1: 22:[20, 25] Operation: 34-9=25 Exploring Operation: 20-9=11, Resulting Numbers: [34, 11] Generated Node #0,2,2: 22:[34, 11] Operation: 20-9=11 Exploring Operation: 34-20=14, Resulting Numbers: [9, 14] Generated Node #0,2,3: 22:[9, 14] Operation: 34-20=14 Exploring Operation: 34+9=43, Resulting Numbers: [20, 43] Generated Node #0,2,4: 22:[20, 43] Operation: 34+9=43 Moving to Node #0,2,1 Current State: 22:[20, 25], Operations: ['32-23=9', '34-9=25'] Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 20*25=500, Resulting Numbers: [500] 500,22 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,22 unequal: No Solution Moving to Node #0,2,3 Current State: 22:[9, 14], Operations: ['32-23=9', '34-20=14'] Exploring Operation: 9+14=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,22 unequal: No Solution Exploring Operation: 9*14=126, Resulting Numbers: [126] 126,22 unequal: No Solution Moving to Node #0,2,2 Current State: 22:[34, 11], Operations: ['32-23=9', '20-9=11'] Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,22 unequal: No Solution Exploring Operation: 34+11=45, Resulting Numbers: [45] 45,22 unequal: No Solution Exploring Operation: 34*11=374, Resulting Numbers: [374] 374,22 unequal: No Solution Moving to Node #0,2,0 Current State: 22:[34, 29], Operations: ['32-23=9', '20+9=29'] Exploring Operation: 34-29=5, Resulting Numbers: [5] 5,22 unequal: No Solution Exploring Operation: 34*29=986, Resulting Numbers: [986] 986,22 unequal: No Solution Exploring Operation: 34+29=63, Resulting Numbers: [63] 63,22 unequal: No Solution Moving to Node #0,2,4 Current State: 22:[20, 43], Operations: ['32-23=9', '34+9=43'] Exploring Operation: 20+43=63, Resulting Numbers: [63] 63,22 unequal: No Solution Exploring Operation: 20*43=860, Resulting Numbers: [860] 860,22 unequal: No Solution Exploring Operation: 43-20=23, Resulting Numbers: [23] 23,22 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
[ 9, 98, 96, 79 ]
68
[ "9+98=107", "96+79=175", "175-107=68" ]
Current State: 68:[9, 98, 96, 79], Operations: [] Exploring Operation: 9+98=107, Resulting Numbers: [96, 79, 107] Generated Node #2: [96, 79, 107] from Operation: 9+98=107 Current State: 68:[96, 79, 107], Operations: ['9+98=107'] Exploring Operation: 96+79=175, Resulting Numbers: [107, 175] Generated Node #3: [107, 175] from Operation: 96+79=175 Current State: 68:[107, 175], Operations: ['9+98=107', '96+79=175'] Exploring Operation: 175-107=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[9, 98, 96, 79], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [9, 79, 2] Generated Node #0,0: 68:[9, 79, 2] Operation: 98-96=2 Exploring Operation: 98-79=19, Resulting Numbers: [9, 96, 19] Generated Node #0,1: 68:[9, 96, 19] Operation: 98-79=19 Start Sub Search at level 1: Moving to Node #0,0 Current State: 68:[9, 79, 2], Operations: ['98-96=2'] Exploring Operation: 79-9=70, Resulting Numbers: [2, 70] Generated Node #0,0,0: 68:[2, 70] Operation: 79-9=70 Exploring Operation: 9*2=18, Resulting Numbers: [79, 18] Generated Node #0,0,1: 68:[79, 18] Operation: 9*2=18 Moving to Node #0,0,0 Current State: 68:[2, 70], Operations: ['98-96=2', '79-9=70'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Moving to Node #0 Current State: 68:[9, 98, 96, 79], Operations: [] Exploring Operation: 98-96=2, Resulting Numbers: [9, 79, 2] Generated Node #0,0: 68:[9, 79, 2] Operation: 98-96=2 Moving to Node #0,0 Current State: 68:[9, 79, 2], Operations: ['98-96=2'] Exploring Operation: 79-9=70, Resulting Numbers: [2, 70] Generated Node #0,0,0: 68:[2, 70] Operation: 79-9=70 Moving to Node #0,0,0 Current State: 68:[2, 70], Operations: ['98-96=2', '79-9=70'] Exploring Operation: 70-2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
sum_heuristic
[ 16, 42, 31, 38 ]
95
[ "42-16=26", "31+38=69", "26+69=95" ]
Current State: 95:[16, 42, 31, 38], Operations: [] Exploring Operation: 42-16=26, Resulting Numbers: [31, 38, 26] Generated Node #2: [31, 38, 26] from Operation: 42-16=26 Current State: 95:[31, 38, 26], Operations: ['42-16=26'] Exploring Operation: 31+38=69, Resulting Numbers: [26, 69] Generated Node #3: [26, 69] from Operation: 31+38=69 Current State: 95:[26, 69], Operations: ['42-16=26', '31+38=69'] Exploring Operation: 26+69=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[16, 42, 31, 38], Operations: [] Exploring Operation: 42-31=11, Resulting Numbers: [16, 38, 11] Generated Node #0,0: 95:[16, 38, 11] Operation: 42-31=11 Exploring Operation: 42-38=4, Resulting Numbers: [16, 31, 4] Generated Node #0,1: 95:[16, 31, 4] Operation: 42-38=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[16, 31, 4], Operations: ['42-38=4'] Exploring Operation: 31-4=27, Resulting Numbers: [16, 27] Generated Node #0,1,0: 95:[16, 27] Operation: 31-4=27 Exploring Operation: 31-16=15, Resulting Numbers: [4, 15] Generated Node #0,1,1: 95:[4, 15] Operation: 31-16=15 Moving to Node #0,1,1 Current State: 95:[4, 15], Operations: ['42-38=4', '31-16=15'] Exploring Operation: 4+15=19, Resulting Numbers: [19] 19,95 unequal: No Solution Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,95 unequal: No Solution Moving to Node #0,1,0 Current State: 95:[16, 27], Operations: ['42-38=4', '31-4=27'] Exploring Operation: 16+27=43, Resulting Numbers: [43] 43,95 unequal: No Solution Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,95 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: 95:[16, 38, 11], Operations: ['42-31=11'] Exploring Operation: 38-16=22, Resulting Numbers: [11, 22] Generated Node #0,0,0: 95:[11, 22] Operation: 38-16=22 Exploring Operation: 38-11=27, Resulting Numbers: [16, 27] Generated Node #0,0,1: 95:[16, 27] Operation: 38-11=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 95:[11, 22], Operations: ['42-31=11', '38-16=22'] Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,95 unequal: No Solution Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,95 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: 95:[16, 27], Operations: ['42-31=11', '38-11=27'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,95 unequal: No Solution Exploring Operation: 16+27=43, Resulting Numbers: [43] 43,95 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
[ 6, 22, 14, 4 ]
50
[ "22-6=16", "4*16=64", "64-14=50" ]
Current State: 50:[6, 22, 14, 4], Operations: [] Exploring Operation: 22-6=16, Resulting Numbers: [14, 4, 16] Generated Node #2: [14, 4, 16] from Operation: 22-6=16 Current State: 50:[14, 4, 16], Operations: ['22-6=16'] Exploring Operation: 4*16=64, Resulting Numbers: [14, 64] Generated Node #3: [14, 64] from Operation: 4*16=64 Current State: 50:[14, 64], Operations: ['22-6=16', '4*16=64'] Exploring Operation: 64-14=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[6, 22, 14, 4], Operations: [] Exploring Operation: 22-14=8, Resulting Numbers: [6, 4, 8] Generated Node #0,0: 50:[6, 4, 8] Operation: 22-14=8 Moving to Node #0,0 Current State: 50:[6, 4, 8], Operations: ['22-14=8'] Exploring Operation: 8-6=2, Resulting Numbers: [4, 2] Generated Node #0,0,0: 50:[4, 2] Operation: 8-6=2 Moving to Node #0,0,0 Current State: 50:[4, 2], Operations: ['22-14=8', '8-6=2'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,50 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 8, 41, 57, 54 ]
99
[ "41-8=33", "57-54=3", "33*3=99" ]
Current State: 99:[8, 41, 57, 54], Operations: [] Exploring Operation: 41-8=33, Resulting Numbers: [57, 54, 33] Generated Node #2: [57, 54, 33] from Operation: 41-8=33 Current State: 99:[57, 54, 33], Operations: ['41-8=33'] Exploring Operation: 57-54=3, Resulting Numbers: [33, 3] Generated Node #3: [33, 3] from Operation: 57-54=3 Current State: 99:[33, 3], Operations: ['41-8=33', '57-54=3'] Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[8, 41, 57, 54], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [8, 41, 3] Generated Node #0,0: 99:[8, 41, 3] Operation: 57-54=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[8, 41, 3], Operations: ['57-54=3'] Exploring Operation: 41-8=33, Resulting Numbers: [3, 33] Generated Node #0,0,0: 99:[3, 33] Operation: 41-8=33 Moving to Node #0,0,0 Current State: 99:[3, 33], Operations: ['57-54=3', '41-8=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[8, 41, 57, 54], Operations: [] Exploring Operation: 57-54=3, Resulting Numbers: [8, 41, 3] Generated Node #0,0: 99:[8, 41, 3] Operation: 57-54=3 Moving to Node #0,0 Current State: 99:[8, 41, 3], Operations: ['57-54=3'] Exploring Operation: 41-8=33, Resulting Numbers: [3, 33] Generated Node #0,0,0: 99:[3, 33] Operation: 41-8=33 Moving to Node #0,0,0 Current State: 99:[3, 33], Operations: ['57-54=3', '41-8=33'] Exploring Operation: 3*33=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 51, 42, 77, 64 ]
44
[ "51+77=128", "128/64=2", "42+2=44" ]
Current State: 44:[51, 42, 77, 64], Operations: [] Exploring Operation: 51+77=128, Resulting Numbers: [42, 64, 128] Generated Node #2: [42, 64, 128] from Operation: 51+77=128 Current State: 44:[42, 64, 128], Operations: ['51+77=128'] Exploring Operation: 128/64=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 128/64=2 Current State: 44:[42, 2], Operations: ['51+77=128', '128/64=2'] Exploring Operation: 42+2=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
Current State: 44:[51, 42, 77, 64], Operations: [] Exploring Operation: 77-64=13, Resulting Numbers: [51, 42, 13] Generated Node #0,0: 44:[51, 42, 13] Operation: 77-64=13 Start Sub Search at level 1: Moving to Node #0,0 Current State: 44:[51, 42, 13], Operations: ['77-64=13'] Exploring Operation: 51-42=9, Resulting Numbers: [13, 9] Generated Node #0,0,0: 44:[13, 9] Operation: 51-42=9 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 44:[13, 9], Operations: ['77-64=13', '51-42=9'] Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,44 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_1
sum_heuristic
[ 90, 29, 29, 15 ]
75
[ "90+29=119", "29+15=44", "119-44=75" ]
Current State: 75:[90, 29, 29, 15], Operations: [] Exploring Operation: 90+29=119, Resulting Numbers: [15, 119] Generated Node #2: [15, 119] from Operation: 90+29=119 Current State: 75:[15, 119], Operations: ['90+29=119'] Exploring Operation: 29+15=44, Resulting Numbers: [119, 44] Generated Node #3: [119, 44] from Operation: 29+15=44 Current State: 75:[119, 44], Operations: ['90+29=119', '29+15=44'] Exploring Operation: 119-44=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[90, 29, 29, 15], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [90, 15, 1] Generated Node #0,0: 75:[90, 15, 1] Operation: 29/29=1 Exploring Operation: 90-15=75, Resulting Numbers: [29, 29, 75] Generated Node #0,1: 75:[29, 29, 75] Operation: 90-15=75 Exploring Operation: 90-29=61, Resulting Numbers: [29, 15, 61] Generated Node #0,2: 75:[29, 15, 61] Operation: 90-29=61 Exploring Operation: 90/15=6, Resulting Numbers: [29, 29, 6] Generated Node #0,3: 75:[29, 29, 6] Operation: 90/15=6 Exploring Operation: 90-29=61, Resulting Numbers: [29, 15, 61] Generated Node #0,4: 75:[29, 15, 61] Operation: 90-29=61 Moving to Node #0,1 Current State: 75:[29, 29, 75], Operations: ['90-15=75'] Exploring Operation: 29+29=58, Resulting Numbers: [75, 58] Generated Node #0,1,0: 75:[75, 58] Operation: 29+29=58 Exploring Operation: 29/29=1, Resulting Numbers: [75, 1] Generated Node #0,1,1: 75:[75, 1] Operation: 29/29=1 Exploring Operation: 75-29=46, Resulting Numbers: [29, 46] Generated Node #0,1,2: 75:[29, 46] Operation: 75-29=46 Exploring Operation: 75-29=46, Resulting Numbers: [29, 46] Generated Node #0,1,3: 75:[29, 46] Operation: 75-29=46 Exploring Operation: 29-29=0, Resulting Numbers: [75, 0] Generated Node #0,1,4: 75:[75, 0] Operation: 29-29=0 Moving to Node #0,3 Current State: 75:[29, 29, 6], Operations: ['90/15=6'] Exploring Operation: 29+6=35, Resulting Numbers: [29, 35] Generated Node #0,3,0: 75:[29, 35] Operation: 29+6=35 Exploring Operation: 29-6=23, Resulting Numbers: [29, 23] Generated Node #0,3,1: 75:[29, 23] Operation: 29-6=23 Exploring Operation: 29-6=23, Resulting Numbers: [29, 23] Generated Node #0,3,2: 75:[29, 23] Operation: 29-6=23 Exploring Operation: 29/29=1, Resulting Numbers: [6, 1] Generated Node #0,3,3: 75:[6, 1] Operation: 29/29=1 Exploring Operation: 29-29=0, Resulting Numbers: [6, 0] Generated Node #0,3,4: 75:[6, 0] Operation: 29-29=0 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 75:[6, 1], Operations: ['90/15=6', '29/29=1'] Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,75 unequal: No Solution Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,75 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,75 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:[6, 0], Operations: ['90/15=6', '29-29=0'] Exploring Operation: 6+0=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 6-0=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 6*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 #0,3,1 Current State: 75:[29, 23], Operations: ['90/15=6', '29-6=23'] Exploring Operation: 29+23=52, Resulting Numbers: [52] 52,75 unequal: No Solution Exploring Operation: 29*23=667, Resulting Numbers: [667] 667,75 unequal: No Solution Exploring Operation: 29-23=6, Resulting Numbers: [6] 6,75 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:[29, 23], Operations: ['90/15=6', '29-6=23'] Exploring Operation: 29*23=667, Resulting Numbers: [667] 667,75 unequal: No Solution Exploring Operation: 29-23=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 29+23=52, Resulting Numbers: [52] 52,75 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:[29, 35], Operations: ['90/15=6', '29+6=35'] Exploring Operation: 29*35=1015, Resulting Numbers: [1015] 1015,75 unequal: No Solution Exploring Operation: 29+35=64, Resulting Numbers: [64] 64,75 unequal: No Solution Exploring Operation: 35-29=6, Resulting Numbers: [6] 6,75 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: 75:[90, 15, 1], Operations: ['29/29=1'] Exploring Operation: 90-15=75, Resulting Numbers: [1, 75] Generated Node #0,0,0: 75:[1, 75] Operation: 90-15=75 Exploring Operation: 90/1=90, Resulting Numbers: [15, 90] Generated Node #0,0,1: 75:[15, 90] Operation: 90/1=90 Exploring Operation: 90*1=90, Resulting Numbers: [15, 90] Generated Node #0,0,2: 75:[15, 90] Operation: 90*1=90 Exploring Operation: 90/15=6, Resulting Numbers: [1, 6] Generated Node #0,0,3: 75:[1, 6] Operation: 90/15=6 Exploring Operation: 90-1=89, Resulting Numbers: [15, 89] Generated Node #0,0,4: 75:[15, 89] Operation: 90-1=89 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[1, 75], Operations: ['29/29=1', '90-15=75'] Exploring Operation: 75/1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[90, 29, 29, 15], Operations: [] Exploring Operation: 29/29=1, Resulting Numbers: [90, 15, 1] Generated Node #0,0: 75:[90, 15, 1] Operation: 29/29=1 Moving to Node #0,0 Current State: 75:[90, 15, 1], Operations: ['29/29=1'] Exploring Operation: 90-15=75, Resulting Numbers: [1, 75] Generated Node #0,0,0: 75:[1, 75] Operation: 90-15=75 Moving to Node #0,0,0 Current State: 75:[1, 75], Operations: ['29/29=1', '90-15=75'] Exploring Operation: 75/1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1
0.96441
hs_5
sum_heuristic
[ 63, 78, 29, 33 ]
19
[ "78-63=15", "33-29=4", "15+4=19" ]
Current State: 19:[63, 78, 29, 33], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [29, 33, 15] Generated Node #2: [29, 33, 15] from Operation: 78-63=15 Current State: 19:[29, 33, 15], Operations: ['78-63=15'] Exploring Operation: 33-29=4, Resulting Numbers: [15, 4] Generated Node #3: [15, 4] from Operation: 33-29=4 Current State: 19:[15, 4], Operations: ['78-63=15', '33-29=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[63, 78, 29, 33], Operations: [] Exploring Operation: 78-63=15, Resulting Numbers: [29, 33, 15] Generated Node #0,0: 19:[29, 33, 15] Operation: 78-63=15 Moving to Node #0,0 Current State: 19:[29, 33, 15], Operations: ['78-63=15'] Exploring Operation: 33-15=18, Resulting Numbers: [29, 18] Generated Node #0,0,0: 19:[29, 18] Operation: 33-15=18 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 19:[29, 18], Operations: ['78-63=15', '33-15=18'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,19 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
[ 66, 86, 63, 73 ]
77
[ "73-66=7", "63/7=9", "86-9=77" ]
Current State: 77:[66, 86, 63, 73], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [86, 63, 7] Generated Node #2: [86, 63, 7] from Operation: 73-66=7 Current State: 77:[86, 63, 7], Operations: ['73-66=7'] Exploring Operation: 63/7=9, Resulting Numbers: [86, 9] Generated Node #3: [86, 9] from Operation: 63/7=9 Current State: 77:[86, 9], Operations: ['73-66=7', '63/7=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[66, 86, 63, 73], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [63, 73, 20] Generated Node #0,0: 77:[63, 73, 20] Operation: 86-66=20 Exploring Operation: 66-63=3, Resulting Numbers: [86, 73, 3] Generated Node #0,1: 77:[86, 73, 3] Operation: 66-63=3 Exploring Operation: 73-66=7, Resulting Numbers: [86, 63, 7] Generated Node #0,2: 77:[86, 63, 7] Operation: 73-66=7 Exploring Operation: 73-63=10, Resulting Numbers: [66, 86, 10] Generated Node #0,3: 77:[66, 86, 10] Operation: 73-63=10 Moving to Node #0,1 Current State: 77:[86, 73, 3], Operations: ['66-63=3'] Exploring Operation: 86-73=13, Resulting Numbers: [3, 13] Generated Node #0,1,0: 77:[3, 13] Operation: 86-73=13 Exploring Operation: 86-3=83, Resulting Numbers: [73, 83] Generated Node #0,1,1: 77:[73, 83] Operation: 86-3=83 Exploring Operation: 73+3=76, Resulting Numbers: [86, 76] Generated Node #0,1,2: 77:[86, 76] Operation: 73+3=76 Exploring Operation: 86+3=89, Resulting Numbers: [73, 89] Generated Node #0,1,3: 77:[73, 89] Operation: 86+3=89 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 77:[3, 13], Operations: ['66-63=3', '86-73=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,77 unequal: No Solution Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,77 unequal: No Solution Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,77 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 #0,1,1 Current State: 77:[73, 83], Operations: ['66-63=3', '86-3=83'] Exploring Operation: 83-73=10, Resulting Numbers: [10] 10,77 unequal: No Solution Exploring Operation: 73*83=6059, Resulting Numbers: [6059] 6059,77 unequal: No Solution Exploring Operation: 73+83=156, Resulting Numbers: [156] 156,77 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 #0,1,2 Current State: 77:[86, 76], Operations: ['66-63=3', '73+3=76'] Exploring Operation: 86*76=6536, Resulting Numbers: [6536] 6536,77 unequal: No Solution Exploring Operation: 86-76=10, Resulting Numbers: [10] 10,77 unequal: No Solution Exploring Operation: 86+76=162, Resulting Numbers: [162] 162,77 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 #0,1,3 Current State: 77:[73, 89], Operations: ['66-63=3', '86+3=89'] Exploring Operation: 73+89=162, Resulting Numbers: [162] 162,77 unequal: No Solution Exploring Operation: 89-73=16, Resulting Numbers: [16] 16,77 unequal: No Solution Exploring Operation: 73*89=6497, Resulting Numbers: [6497] 6497,77 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: 77:[66, 86, 10], Operations: ['73-63=10'] Exploring Operation: 66-10=56, Resulting Numbers: [86, 56] Generated Node #0,3,0: 77:[86, 56] Operation: 66-10=56 Exploring Operation: 66+10=76, Resulting Numbers: [86, 76] Generated Node #0,3,1: 77:[86, 76] Operation: 66+10=76 Exploring Operation: 86-10=76, Resulting Numbers: [66, 76] Generated Node #0,3,2: 77:[66, 76] Operation: 86-10=76 Exploring Operation: 86-66=20, Resulting Numbers: [10, 20] Generated Node #0,3,3: 77:[10, 20] Operation: 86-66=20 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 77:[86, 76], Operations: ['73-63=10', '66+10=76'] Exploring Operation: 86+76=162, Resulting Numbers: [162] 162,77 unequal: No Solution Exploring Operation: 86-76=10, Resulting Numbers: [10] 10,77 unequal: No Solution Exploring Operation: 86*76=6536, Resulting Numbers: [6536] 6536,77 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 #0,3,3 Current State: 77:[10, 20], Operations: ['73-63=10', '86-66=20'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,77 unequal: No Solution Exploring Operation: 10*20=200, Resulting Numbers: [200] 200,77 unequal: No Solution Exploring Operation: 10+20=30, Resulting Numbers: [30] 30,77 unequal: No Solution Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,77 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 #0,3,2 Current State: 77:[66, 76], Operations: ['73-63=10', '86-10=76'] Exploring Operation: 66+76=142, Resulting Numbers: [142] 142,77 unequal: No Solution Exploring Operation: 66*76=5016, Resulting Numbers: [5016] 5016,77 unequal: No Solution Exploring Operation: 76-66=10, Resulting Numbers: [10] 10,77 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 #0,3,0 Current State: 77:[86, 56], Operations: ['73-63=10', '66-10=56'] Exploring Operation: 86-56=30, Resulting Numbers: [30] 30,77 unequal: No Solution Exploring Operation: 86+56=142, Resulting Numbers: [142] 142,77 unequal: No Solution Exploring Operation: 86*56=4816, Resulting Numbers: [4816] 4816,77 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: 77:[86, 63, 7], Operations: ['73-66=7'] Exploring Operation: 63/7=9, Resulting Numbers: [86, 9] Generated Node #0,2,0: 77:[86, 9] Operation: 63/7=9 Exploring Operation: 63+7=70, Resulting Numbers: [86, 70] Generated Node #0,2,1: 77:[86, 70] Operation: 63+7=70 Exploring Operation: 86-7=79, Resulting Numbers: [63, 79] Generated Node #0,2,2: 77:[63, 79] Operation: 86-7=79 Exploring Operation: 86-63=23, Resulting Numbers: [7, 23] Generated Node #0,2,3: 77:[7, 23] Operation: 86-63=23 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 77:[86, 9], Operations: ['73-66=7', '63/7=9'] Exploring Operation: 86*9=774, Resulting Numbers: [774] 774,77 unequal: No Solution Exploring Operation: 86+9=95, Resulting Numbers: [95] 95,77 unequal: No Solution Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[66, 86, 63, 73], Operations: [] Exploring Operation: 73-66=7, Resulting Numbers: [86, 63, 7] Generated Node #0,2: 77:[86, 63, 7] Operation: 73-66=7 Moving to Node #0,2 Current State: 77:[86, 63, 7], Operations: ['73-66=7'] Exploring Operation: 63/7=9, Resulting Numbers: [86, 9] Generated Node #0,2,0: 77:[86, 9] Operation: 63/7=9 Moving to Node #0,2,0 Current State: 77:[86, 9], Operations: ['73-66=7', '63/7=9'] Exploring Operation: 86-9=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 1
0.958333
hs_4
mult_heuristic
[ 15, 61, 19, 35 ]
31
[ "15+61=76", "76/19=4", "35-4=31" ]
Current State: 31:[15, 61, 19, 35], Operations: [] Exploring Operation: 15+61=76, Resulting Numbers: [19, 35, 76] Generated Node #2: [19, 35, 76] from Operation: 15+61=76 Current State: 31:[19, 35, 76], Operations: ['15+61=76'] Exploring Operation: 76/19=4, Resulting Numbers: [35, 4] Generated Node #3: [35, 4] from Operation: 76/19=4 Current State: 31:[35, 4], Operations: ['15+61=76', '76/19=4'] Exploring Operation: 35-4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[15, 61, 19, 35], Operations: [] Exploring Operation: 61-15=46, Resulting Numbers: [19, 35, 46] Generated Node #0,0: 31:[19, 35, 46] Operation: 61-15=46 Start Sub Search at level 1: Moving to Node #0,0 Current State: 31:[19, 35, 46], Operations: ['61-15=46'] Exploring Operation: 46-19=27, Resulting Numbers: [35, 27] Generated Node #0,0,0: 31:[35, 27] Operation: 46-19=27 Moving to Node #0,0,0 Current State: 31:[35, 27], Operations: ['61-15=46', '46-19=27'] Exploring Operation: 35-27=8, Resulting Numbers: [8] 8,31 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
[ 34, 52, 50, 66 ]
26
[ "34+66=100", "52*50=2600", "2600/100=26" ]
Current State: 26:[34, 52, 50, 66], Operations: [] Exploring Operation: 34+66=100, Resulting Numbers: [52, 50, 100] Generated Node #2: [52, 50, 100] from Operation: 34+66=100 Current State: 26:[52, 50, 100], Operations: ['34+66=100'] Exploring Operation: 52*50=2600, Resulting Numbers: [100, 2600] Generated Node #3: [100, 2600] from Operation: 52*50=2600 Current State: 26:[100, 2600], Operations: ['34+66=100', '52*50=2600'] Exploring Operation: 2600/100=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[34, 52, 50, 66], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [34, 50, 14] Generated Node #0,0: 26:[34, 50, 14] Operation: 66-52=14 Start Sub Search at level 1: Moving to Node #0,0 Current State: 26:[34, 50, 14], Operations: ['66-52=14'] Exploring Operation: 50-34=16, Resulting Numbers: [14, 16] Generated Node #0,0,0: 26:[14, 16] Operation: 50-34=16 Moving to Node #0,0,0 Current State: 26:[14, 16], Operations: ['66-52=14', '50-34=16'] Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,26 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
[ 47, 41, 31, 88 ]
63
[ "47-41=6", "88-31=57", "6+57=63" ]
Current State: 63:[47, 41, 31, 88], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [31, 88, 6] Generated Node #2: [31, 88, 6] from Operation: 47-41=6 Current State: 63:[31, 88, 6], Operations: ['47-41=6'] Exploring Operation: 88-31=57, Resulting Numbers: [6, 57] Generated Node #3: [6, 57] from Operation: 88-31=57 Current State: 63:[6, 57], Operations: ['47-41=6', '88-31=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[47, 41, 31, 88], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [31, 88, 6] Generated Node #0,0: 63:[31, 88, 6] Operation: 47-41=6 Exploring Operation: 88-31=57, Resulting Numbers: [47, 41, 57] Generated Node #0,1: 63:[47, 41, 57] Operation: 88-31=57 Exploring Operation: 41-31=10, Resulting Numbers: [47, 88, 10] Generated Node #0,2: 63:[47, 88, 10] Operation: 41-31=10 Exploring Operation: 88-41=47, Resulting Numbers: [47, 31, 47] Generated Node #0,3: 63:[47, 31, 47] Operation: 88-41=47 Start Sub Search at level 1: Moving to Node #0,0 Current State: 63:[31, 88, 6], Operations: ['47-41=6'] Exploring Operation: 88-6=82, Resulting Numbers: [31, 82] Generated Node #0,0,0: 63:[31, 82] Operation: 88-6=82 Exploring Operation: 31+6=37, Resulting Numbers: [88, 37] Generated Node #0,0,1: 63:[88, 37] Operation: 31+6=37 Exploring Operation: 88-31=57, Resulting Numbers: [6, 57] Generated Node #0,0,2: 63:[6, 57] Operation: 88-31=57 Exploring Operation: 31-6=25, Resulting Numbers: [88, 25] Generated Node #0,0,3: 63:[88, 25] Operation: 31-6=25 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 63:[6, 57], Operations: ['47-41=6', '88-31=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Moving to Node #0 Current State: 63:[47, 41, 31, 88], Operations: [] Exploring Operation: 47-41=6, Resulting Numbers: [31, 88, 6] Generated Node #0,0: 63:[31, 88, 6] Operation: 47-41=6 Moving to Node #0,0 Current State: 63:[31, 88, 6], Operations: ['47-41=6'] Exploring Operation: 88-31=57, Resulting Numbers: [6, 57] Generated Node #0,0,2: 63:[6, 57] Operation: 88-31=57 Moving to Node #0,0,2 Current State: 63:[6, 57], Operations: ['47-41=6', '88-31=57'] Exploring Operation: 6+57=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 23, 19, 13, 69 ]
46
[ "13*69=897", "897-23=874", "874/19=46" ]
Current State: 46:[23, 19, 13, 69], Operations: [] Exploring Operation: 13*69=897, Resulting Numbers: [23, 19, 897] Generated Node #2: [23, 19, 897] from Operation: 13*69=897 Current State: 46:[23, 19, 897], Operations: ['13*69=897'] Exploring Operation: 897-23=874, Resulting Numbers: [19, 874] Generated Node #3: [19, 874] from Operation: 897-23=874 Current State: 46:[19, 874], Operations: ['13*69=897', '897-23=874'] Exploring Operation: 874/19=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[23, 19, 13, 69], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [23, 19, 56] Generated Node #0,0: 46:[23, 19, 56] Operation: 69-13=56 Exploring Operation: 69-19=50, Resulting Numbers: [23, 13, 50] Generated Node #0,1: 46:[23, 13, 50] Operation: 69-19=50 Exploring Operation: 69-23=46, Resulting Numbers: [19, 13, 46] Generated Node #0,2: 46:[19, 13, 46] Operation: 69-23=46 Exploring Operation: 19-13=6, Resulting Numbers: [23, 69, 6] Generated Node #0,3: 46:[23, 69, 6] Operation: 19-13=6 Exploring Operation: 69/23=3, Resulting Numbers: [19, 13, 3] Generated Node #0,4: 46:[19, 13, 3] Operation: 69/23=3 Moving to Node #0,0 Current State: 46:[23, 19, 56], Operations: ['69-13=56'] Exploring Operation: 56-23=33, Resulting Numbers: [19, 33] Generated Node #0,0,0: 46:[19, 33] Operation: 56-23=33 Exploring Operation: 56-19=37, Resulting Numbers: [23, 37] Generated Node #0,0,1: 46:[23, 37] Operation: 56-19=37 Exploring Operation: 23-19=4, Resulting Numbers: [56, 4] Generated Node #0,0,2: 46:[56, 4] Operation: 23-19=4 Exploring Operation: 19+56=75, Resulting Numbers: [23, 75] Generated Node #0,0,3: 46:[23, 75] Operation: 19+56=75 Exploring Operation: 23+19=42, Resulting Numbers: [56, 42] Generated Node #0,0,4: 46:[56, 42] Operation: 23+19=42 Moving to Node #0,2 Current State: 46:[19, 13, 46], Operations: ['69-23=46'] Exploring Operation: 46-19=27, Resulting Numbers: [13, 27] Generated Node #0,2,0: 46:[13, 27] Operation: 46-19=27 Exploring Operation: 19+13=32, Resulting Numbers: [46, 32] Generated Node #0,2,1: 46:[46, 32] Operation: 19+13=32 Exploring Operation: 19-13=6, Resulting Numbers: [46, 6] Generated Node #0,2,2: 46:[46, 6] Operation: 19-13=6 Exploring Operation: 13+46=59, Resulting Numbers: [19, 59] Generated Node #0,2,3: 46:[19, 59] Operation: 13+46=59 Exploring Operation: 46-13=33, Resulting Numbers: [19, 33] Generated Node #0,2,4: 46:[19, 33] Operation: 46-13=33 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 46:[46, 6], Operations: ['69-23=46', '19-13=6'] Exploring Operation: 46*6=276, Resulting Numbers: [276] 276,46 unequal: No Solution Exploring Operation: 46+6=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 46-6=40, Resulting Numbers: [40] 40,46 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: 46:[46, 32], Operations: ['69-23=46', '19+13=32'] Exploring Operation: 46+32=78, Resulting Numbers: [78] 78,46 unequal: No Solution Exploring Operation: 46*32=1472, Resulting Numbers: [1472] 1472,46 unequal: No Solution Exploring Operation: 46-32=14, Resulting Numbers: [14] 14,46 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: 46:[13, 27], Operations: ['69-23=46', '46-19=27'] Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 13*27=351, Resulting Numbers: [351] 351,46 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: 46:[19, 33], Operations: ['69-23=46', '46-13=33'] Exploring Operation: 19+33=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 33-19=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 19*33=627, Resulting Numbers: [627] 627,46 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: 46:[19, 59], Operations: ['69-23=46', '13+46=59'] Exploring Operation: 19+59=78, Resulting Numbers: [78] 78,46 unequal: No Solution Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 19*59=1121, Resulting Numbers: [1121] 1121,46 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: 46:[23, 13, 50], Operations: ['69-19=50'] Exploring Operation: 13+50=63, Resulting Numbers: [23, 63] Generated Node #0,1,0: 46:[23, 63] Operation: 13+50=63 Exploring Operation: 23-13=10, Resulting Numbers: [50, 10] Generated Node #0,1,1: 46:[50, 10] Operation: 23-13=10 Exploring Operation: 50-23=27, Resulting Numbers: [13, 27] Generated Node #0,1,2: 46:[13, 27] Operation: 50-23=27 Exploring Operation: 23+13=36, Resulting Numbers: [50, 36] Generated Node #0,1,3: 46:[50, 36] Operation: 23+13=36 Exploring Operation: 50-13=37, Resulting Numbers: [23, 37] Generated Node #0,1,4: 46:[23, 37] Operation: 50-13=37 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 46:[23, 37], Operations: ['69-19=50', '50-13=37'] Exploring Operation: 37-23=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 23*37=851, Resulting Numbers: [851] 851,46 unequal: No Solution Exploring Operation: 23+37=60, Resulting Numbers: [60] 60,46 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: 46:[50, 10], Operations: ['69-19=50', '23-13=10'] Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 50/10=5, Resulting Numbers: [5] 5,46 unequal: No Solution Exploring Operation: 50*10=500, Resulting Numbers: [500] 500,46 unequal: No Solution Exploring Operation: 50+10=60, Resulting Numbers: [60] 60,46 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: 46:[13, 27], Operations: ['69-19=50', '50-23=27'] Exploring Operation: 27-13=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 13+27=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 13*27=351, Resulting Numbers: [351] 351,46 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: 46:[50, 36], Operations: ['69-19=50', '23+13=36'] Exploring Operation: 50+36=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 50*36=1800, Resulting Numbers: [1800] 1800,46 unequal: No Solution Exploring Operation: 50-36=14, Resulting Numbers: [14] 14,46 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: 46:[23, 63], Operations: ['69-19=50', '13+50=63'] Exploring Operation: 63-23=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 23*63=1449, Resulting Numbers: [1449] 1449,46 unequal: No Solution Exploring Operation: 23+63=86, Resulting Numbers: [86] 86,46 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: 46:[19, 13, 3], Operations: ['69/23=3'] Exploring Operation: 19-13=6, Resulting Numbers: [3, 6] Generated Node #0,4,0: 46:[3, 6] Operation: 19-13=6 Exploring Operation: 19+3=22, Resulting Numbers: [13, 22] Generated Node #0,4,1: 46:[13, 22] Operation: 19+3=22 Exploring Operation: 13+3=16, Resulting Numbers: [19, 16] Generated Node #0,4,2: 46:[19, 16] Operation: 13+3=16 Exploring Operation: 13*3=39, Resulting Numbers: [19, 39] Generated Node #0,4,3: 46:[19, 39] Operation: 13*3=39 Exploring Operation: 19+13=32, Resulting Numbers: [3, 32] Generated Node #0,4,4: 46:[3, 32] Operation: 19+13=32 Moving to Node #0,3 Current State: 46:[23, 69, 6], Operations: ['19-13=6'] Exploring Operation: 69-6=63, Resulting Numbers: [23, 63] Generated Node #0,3,0: 46:[23, 63] Operation: 69-6=63 Exploring Operation: 23-6=17, Resulting Numbers: [69, 17] Generated Node #0,3,1: 46:[69, 17] Operation: 23-6=17 Exploring Operation: 23+6=29, Resulting Numbers: [69, 29] Generated Node #0,3,2: 46:[69, 29] Operation: 23+6=29 Exploring Operation: 69/23=3, Resulting Numbers: [6, 3] Generated Node #0,3,3: 46:[6, 3] Operation: 69/23=3 Exploring Operation: 69-23=46, Resulting Numbers: [6, 46] Generated Node #0,3,4: 46:[6, 46] Operation: 69-23=46 Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 46:[6, 46], Operations: ['19-13=6', '69-23=46'] Exploring Operation: 6+46=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 6*46=276, Resulting Numbers: [276] 276,46 unequal: No Solution Exploring Operation: 46-6=40, Resulting Numbers: [40] 40,46 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: 46:[6, 3], Operations: ['19-13=6', '69/23=3'] Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,46 unequal: No Solution Exploring Operation: 6*3=18, Resulting Numbers: [18] 18,46 unequal: No Solution Exploring Operation: 6+3=9, Resulting Numbers: [9] 9,46 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,46 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: 46:[23, 63], Operations: ['19-13=6', '69-6=63'] Exploring Operation: 63-23=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 23+63=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 23*63=1449, Resulting Numbers: [1449] 1449,46 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: 46:[69, 17], Operations: ['19-13=6', '23-6=17'] Exploring Operation: 69+17=86, Resulting Numbers: [86] 86,46 unequal: No Solution Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 69*17=1173, Resulting Numbers: [1173] 1173,46 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: 46:[69, 29], Operations: ['19-13=6', '23+6=29'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,46 unequal: No Solution Exploring Operation: 69+29=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 69*29=2001, Resulting Numbers: [2001] 2001,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,0 Current State: 46:[3, 6], Operations: ['69/23=3', '19-13=6'] Exploring Operation: 3+6=9, Resulting Numbers: [9] 9,46 unequal: No Solution Exploring Operation: 3*6=18, Resulting Numbers: [18] 18,46 unequal: No Solution Exploring Operation: 6-3=3, Resulting Numbers: [3] 3,46 unequal: No Solution Exploring Operation: 6/3=2, Resulting Numbers: [2] 2,46 unequal: No Solution Moving to Node #0,0,1 Current State: 46:[23, 37], Operations: ['69-13=56', '56-19=37'] Exploring Operation: 23+37=60, Resulting Numbers: [60] 60,46 unequal: No Solution Exploring Operation: 37-23=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 23*37=851, Resulting Numbers: [851] 851,46 unequal: No Solution Moving to Node #0,4,4 Current State: 46:[3, 32], Operations: ['69/23=3', '19+13=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,46 unequal: No Solution Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,46 unequal: No Solution Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,46 unequal: No Solution Moving to Node #0,4,1 Current State: 46:[13, 22], Operations: ['69/23=3', '19+3=22'] Exploring Operation: 13+22=35, Resulting Numbers: [35] 35,46 unequal: No Solution Exploring Operation: 22-13=9, Resulting Numbers: [9] 9,46 unequal: No Solution Exploring Operation: 13*22=286, Resulting Numbers: [286] 286,46 unequal: No Solution Moving to Node #0,4,3 Current State: 46:[19, 39], Operations: ['69/23=3', '13*3=39'] Exploring Operation: 39-19=20, Resulting Numbers: [20] 20,46 unequal: No Solution Exploring Operation: 19*39=741, Resulting Numbers: [741] 741,46 unequal: No Solution Exploring Operation: 19+39=58, Resulting Numbers: [58] 58,46 unequal: No Solution Moving to Node #0,4,2 Current State: 46:[19, 16], Operations: ['69/23=3', '13+3=16'] Exploring Operation: 19*16=304, Resulting Numbers: [304] 304,46 unequal: No Solution Exploring Operation: 19+16=35, Resulting Numbers: [35] 35,46 unequal: No Solution Exploring Operation: 19-16=3, Resulting Numbers: [3] 3,46 unequal: No Solution Moving to Node #0,0,2 Current State: 46:[56, 4], Operations: ['69-13=56', '23-19=4'] Exploring Operation: 56/4=14, Resulting Numbers: [14] 14,46 unequal: No Solution Exploring Operation: 56-4=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 56*4=224, Resulting Numbers: [224] 224,46 unequal: No Solution Exploring Operation: 56+4=60, Resulting Numbers: [60] 60,46 unequal: No Solution Moving to Node #0,0,0 Current State: 46:[19, 33], Operations: ['69-13=56', '56-23=33'] Exploring Operation: 19+33=52, Resulting Numbers: [52] 52,46 unequal: No Solution Exploring Operation: 19*33=627, Resulting Numbers: [627] 627,46 unequal: No Solution Exploring Operation: 33-19=14, Resulting Numbers: [14] 14,46 unequal: No Solution Moving to Node #0,0,4 Current State: 46:[56, 42], Operations: ['69-13=56', '23+19=42'] Exploring Operation: 56+42=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 56*42=2352, Resulting Numbers: [2352] 2352,46 unequal: No Solution Exploring Operation: 56-42=14, Resulting Numbers: [14] 14,46 unequal: No Solution Moving to Node #0,0,3 Current State: 46:[23, 75], Operations: ['69-13=56', '19+56=75'] Exploring Operation: 23+75=98, Resulting Numbers: [98] 98,46 unequal: No Solution Exploring Operation: 23*75=1725, Resulting Numbers: [1725] 1725,46 unequal: No Solution Exploring Operation: 75-23=52, Resulting Numbers: [52] 52,46 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 79, 33, 28, 32 ]
68
[ "79*28=2212", "32+2212=2244", "2244/33=68" ]
Current State: 68:[79, 33, 28, 32], Operations: [] Exploring Operation: 79*28=2212, Resulting Numbers: [33, 32, 2212] Generated Node #2: [33, 32, 2212] from Operation: 79*28=2212 Current State: 68:[33, 32, 2212], Operations: ['79*28=2212'] Exploring Operation: 32+2212=2244, Resulting Numbers: [33, 2244] Generated Node #3: [33, 2244] from Operation: 32+2212=2244 Current State: 68:[33, 2244], Operations: ['79*28=2212', '32+2212=2244'] Exploring Operation: 2244/33=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[79, 33, 28, 32], Operations: [] Exploring Operation: 33-32=1, Resulting Numbers: [79, 28, 1] Generated Node #0,0: 68:[79, 28, 1] Operation: 33-32=1 Exploring Operation: 32-28=4, Resulting Numbers: [79, 33, 4] Generated Node #0,1: 68:[79, 33, 4] Operation: 32-28=4 Exploring Operation: 33-28=5, Resulting Numbers: [79, 32, 5] Generated Node #0,2: 68:[79, 32, 5] Operation: 33-28=5 Start Sub Search at level 1: Moving to Node #0,1 Current State: 68:[79, 33, 4], Operations: ['32-28=4'] Exploring Operation: 33+4=37, Resulting Numbers: [79, 37] Generated Node #0,1,0: 68:[79, 37] Operation: 33+4=37 Exploring Operation: 79-4=75, Resulting Numbers: [33, 75] Generated Node #0,1,1: 68:[33, 75] Operation: 79-4=75 Exploring Operation: 79-33=46, Resulting Numbers: [4, 46] Generated Node #0,1,2: 68:[4, 46] Operation: 79-33=46 Moving to Node #0,1,1 Current State: 68:[33, 75], Operations: ['32-28=4', '79-4=75'] Exploring Operation: 33*75=2475, Resulting Numbers: [2475] 2475,68 unequal: No Solution Exploring Operation: 33+75=108, Resulting Numbers: [108] 108,68 unequal: No Solution Exploring Operation: 75-33=42, Resulting Numbers: [42] 42,68 unequal: No Solution Moving to Node #0,1,2 Current State: 68:[4, 46], Operations: ['32-28=4', '79-33=46'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,68 unequal: No Solution Exploring Operation: 4+46=50, Resulting Numbers: [50] 50,68 unequal: No Solution Exploring Operation: 4*46=184, Resulting Numbers: [184] 184,68 unequal: No Solution Moving to Node #0,1,0 Current State: 68:[79, 37], Operations: ['32-28=4', '33+4=37'] Exploring Operation: 79-37=42, Resulting Numbers: [42] 42,68 unequal: No Solution Exploring Operation: 79+37=116, Resulting Numbers: [116] 116,68 unequal: No Solution Exploring Operation: 79*37=2923, Resulting Numbers: [2923] 2923,68 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: 68:[79, 32, 5], Operations: ['33-28=5'] Exploring Operation: 79-32=47, Resulting Numbers: [5, 47] Generated Node #0,2,0: 68:[5, 47] Operation: 79-32=47 Exploring Operation: 79-5=74, Resulting Numbers: [32, 74] Generated Node #0,2,1: 68:[32, 74] Operation: 79-5=74 Exploring Operation: 32+5=37, Resulting Numbers: [79, 37] Generated Node #0,2,2: 68:[79, 37] Operation: 32+5=37 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 68:[32, 74], Operations: ['33-28=5', '79-5=74'] Exploring Operation: 74-32=42, Resulting Numbers: [42] 42,68 unequal: No Solution Exploring Operation: 32+74=106, Resulting Numbers: [106] 106,68 unequal: No Solution Exploring Operation: 32*74=2368, Resulting Numbers: [2368] 2368,68 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: 68:[5, 47], Operations: ['33-28=5', '79-32=47'] Exploring Operation: 5*47=235, Resulting Numbers: [235] 235,68 unequal: No Solution Exploring Operation: 5+47=52, Resulting Numbers: [52] 52,68 unequal: No Solution Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,68 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: 68:[79, 37], Operations: ['33-28=5', '32+5=37'] Exploring Operation: 79*37=2923, Resulting Numbers: [2923] 2923,68 unequal: No Solution Exploring Operation: 79+37=116, Resulting Numbers: [116] 116,68 unequal: No Solution Exploring Operation: 79-37=42, Resulting Numbers: [42] 42,68 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: 68:[79, 28, 1], Operations: ['33-32=1'] Exploring Operation: 79*1=79, Resulting Numbers: [28, 79] Generated Node #0,0,0: 68:[28, 79] Operation: 79*1=79 Exploring Operation: 79-1=78, Resulting Numbers: [28, 78] Generated Node #0,0,1: 68:[28, 78] Operation: 79-1=78 Exploring Operation: 28+1=29, Resulting Numbers: [79, 29] Generated Node #0,0,2: 68:[79, 29] Operation: 28+1=29 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 68:[28, 78], Operations: ['33-32=1', '79-1=78'] Exploring Operation: 78-28=50, Resulting Numbers: [50] 50,68 unequal: No Solution Exploring Operation: 28+78=106, Resulting Numbers: [106] 106,68 unequal: No Solution Exploring Operation: 28*78=2184, Resulting Numbers: [2184] 2184,68 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: 68:[79, 29], Operations: ['33-32=1', '28+1=29'] Exploring Operation: 79+29=108, Resulting Numbers: [108] 108,68 unequal: No Solution Exploring Operation: 79*29=2291, Resulting Numbers: [2291] 2291,68 unequal: No Solution Exploring Operation: 79-29=50, Resulting Numbers: [50] 50,68 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: 68:[28, 79], Operations: ['33-32=1', '79*1=79'] Exploring Operation: 28*79=2212, Resulting Numbers: [2212] 2212,68 unequal: No Solution Exploring Operation: 79-28=51, Resulting Numbers: [51] 51,68 unequal: No Solution Exploring Operation: 28+79=107, Resulting Numbers: [107] 107,68 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_3
mult_heuristic
[ 30, 14, 20, 79 ]
70
[ "79-30=49", "20*49=980", "980/14=70" ]
Current State: 70:[30, 14, 20, 79], Operations: [] Exploring Operation: 79-30=49, Resulting Numbers: [14, 20, 49] Generated Node #2: [14, 20, 49] from Operation: 79-30=49 Current State: 70:[14, 20, 49], Operations: ['79-30=49'] Exploring Operation: 20*49=980, Resulting Numbers: [14, 980] Generated Node #3: [14, 980] from Operation: 20*49=980 Current State: 70:[14, 980], Operations: ['79-30=49', '20*49=980'] Exploring Operation: 980/14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[30, 14, 20, 79], Operations: [] Exploring Operation: 30-20=10, Resulting Numbers: [14, 79, 10] Generated Node #0,0: 70:[14, 79, 10] Operation: 30-20=10 Exploring Operation: 79-14=65, Resulting Numbers: [30, 20, 65] Generated Node #0,1: 70:[30, 20, 65] Operation: 79-14=65 Exploring Operation: 20-14=6, Resulting Numbers: [30, 79, 6] Generated Node #0,2: 70:[30, 79, 6] Operation: 20-14=6 Exploring Operation: 14+20=34, Resulting Numbers: [30, 79, 34] Generated Node #0,3: 70:[30, 79, 34] Operation: 14+20=34 Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[14, 79, 10], Operations: ['30-20=10'] Exploring Operation: 14+10=24, Resulting Numbers: [79, 24] Generated Node #0,0,0: 70:[79, 24] Operation: 14+10=24 Exploring Operation: 79-14=65, Resulting Numbers: [10, 65] Generated Node #0,0,1: 70:[10, 65] Operation: 79-14=65 Exploring Operation: 79-10=69, Resulting Numbers: [14, 69] Generated Node #0,0,2: 70:[14, 69] Operation: 79-10=69 Exploring Operation: 14-10=4, Resulting Numbers: [79, 4] Generated Node #0,0,3: 70:[79, 4] Operation: 14-10=4 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 70:[14, 69], Operations: ['30-20=10', '79-10=69'] Exploring Operation: 14+69=83, Resulting Numbers: [83] 83,70 unequal: No Solution Exploring Operation: 69-14=55, Resulting Numbers: [55] 55,70 unequal: No Solution Exploring Operation: 14*69=966, Resulting Numbers: [966] 966,70 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 #0,0,1 Current State: 70:[10, 65], Operations: ['30-20=10', '79-14=65'] Exploring Operation: 10*65=650, Resulting Numbers: [650] 650,70 unequal: No Solution Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,70 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 #0,0,3 Current State: 70:[79, 4], Operations: ['30-20=10', '14-10=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,70 unequal: No Solution Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 79*4=316, Resulting Numbers: [316] 316,70 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 #0,0,0 Current State: 70:[79, 24], Operations: ['30-20=10', '14+10=24'] Exploring Operation: 79*24=1896, Resulting Numbers: [1896] 1896,70 unequal: No Solution Exploring Operation: 79+24=103, Resulting Numbers: [103] 103,70 unequal: No Solution Exploring Operation: 79-24=55, Resulting Numbers: [55] 55,70 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:[30, 79, 6], Operations: ['20-14=6'] Exploring Operation: 79-6=73, Resulting Numbers: [30, 73] Generated Node #0,2,0: 70:[30, 73] Operation: 79-6=73 Exploring Operation: 79-30=49, Resulting Numbers: [6, 49] Generated Node #0,2,1: 70:[6, 49] Operation: 79-30=49 Exploring Operation: 30/6=5, Resulting Numbers: [79, 5] Generated Node #0,2,2: 70:[79, 5] Operation: 30/6=5 Exploring Operation: 30+6=36, Resulting Numbers: [79, 36] Generated Node #0,2,3: 70:[79, 36] Operation: 30+6=36 Moving to Node #0,2,0 Current State: 70:[30, 73], Operations: ['20-14=6', '79-6=73'] Exploring Operation: 30*73=2190, Resulting Numbers: [2190] 2190,70 unequal: No Solution Exploring Operation: 73-30=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 30+73=103, Resulting Numbers: [103] 103,70 unequal: No Solution Moving to Node #0,2,2 Current State: 70:[79, 5], Operations: ['20-14=6', '30/6=5'] Exploring Operation: 79-5=74, Resulting Numbers: [74] 74,70 unequal: No Solution Exploring Operation: 79+5=84, Resulting Numbers: [84] 84,70 unequal: No Solution Exploring Operation: 79*5=395, Resulting Numbers: [395] 395,70 unequal: No Solution Moving to Node #0,2,3 Current State: 70:[79, 36], Operations: ['20-14=6', '30+6=36'] Exploring Operation: 79+36=115, Resulting Numbers: [115] 115,70 unequal: No Solution Exploring Operation: 79-36=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 79*36=2844, Resulting Numbers: [2844] 2844,70 unequal: No Solution Moving to Node #0,2,1 Current State: 70:[6, 49], Operations: ['20-14=6', '79-30=49'] Exploring Operation: 6+49=55, Resulting Numbers: [55] 55,70 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 6*49=294, Resulting Numbers: [294] 294,70 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: 70:[30, 79, 34], Operations: ['14+20=34'] Exploring Operation: 79-30=49, Resulting Numbers: [34, 49] Generated Node #0,3,0: 70:[34, 49] Operation: 79-30=49 Exploring Operation: 30+34=64, Resulting Numbers: [79, 64] Generated Node #0,3,1: 70:[79, 64] Operation: 30+34=64 Exploring Operation: 34-30=4, Resulting Numbers: [79, 4] Generated Node #0,3,2: 70:[79, 4] Operation: 34-30=4 Exploring Operation: 79-34=45, Resulting Numbers: [30, 45] Generated Node #0,3,3: 70:[30, 45] Operation: 79-34=45 Moving to Node #0,3,2 Current State: 70:[79, 4], Operations: ['14+20=34', '34-30=4'] Exploring Operation: 79-4=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 79*4=316, Resulting Numbers: [316] 316,70 unequal: No Solution Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,70 unequal: No Solution Moving to Node #0,3,1 Current State: 70:[79, 64], Operations: ['14+20=34', '30+34=64'] Exploring Operation: 79*64=5056, Resulting Numbers: [5056] 5056,70 unequal: No Solution Exploring Operation: 79-64=15, Resulting Numbers: [15] 15,70 unequal: No Solution Exploring Operation: 79+64=143, Resulting Numbers: [143] 143,70 unequal: No Solution Moving to Node #0,3,0 Current State: 70:[34, 49], Operations: ['14+20=34', '79-30=49'] Exploring Operation: 34*49=1666, Resulting Numbers: [1666] 1666,70 unequal: No Solution Exploring Operation: 34+49=83, Resulting Numbers: [83] 83,70 unequal: No Solution Exploring Operation: 49-34=15, Resulting Numbers: [15] 15,70 unequal: No Solution Moving to Node #0,3,3 Current State: 70:[30, 45], Operations: ['14+20=34', '79-34=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 30*45=1350, Resulting Numbers: [1350] 1350,70 unequal: No Solution Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,70 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: 70:[30, 20, 65], Operations: ['79-14=65'] Exploring Operation: 30-20=10, Resulting Numbers: [65, 10] Generated Node #0,1,0: 70:[65, 10] Operation: 30-20=10 Exploring Operation: 65-30=35, Resulting Numbers: [20, 35] Generated Node #0,1,1: 70:[20, 35] Operation: 65-30=35 Exploring Operation: 30+20=50, Resulting Numbers: [65, 50] Generated Node #0,1,2: 70:[65, 50] Operation: 30+20=50 Exploring Operation: 65-20=45, Resulting Numbers: [30, 45] Generated Node #0,1,3: 70:[30, 45] Operation: 65-20=45 Moving to Node #0,1,0 Current State: 70:[65, 10], Operations: ['79-14=65', '30-20=10'] Exploring Operation: 65*10=650, Resulting Numbers: [650] 650,70 unequal: No Solution Exploring Operation: 65+10=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 65-10=55, Resulting Numbers: [55] 55,70 unequal: No Solution Moving to Node #0,1,1 Current State: 70:[20, 35], Operations: ['79-14=65', '65-30=35'] Exploring Operation: 35-20=15, Resulting Numbers: [15] 15,70 unequal: No Solution Exploring Operation: 20*35=700, Resulting Numbers: [700] 700,70 unequal: No Solution Exploring Operation: 20+35=55, Resulting Numbers: [55] 55,70 unequal: No Solution Moving to Node #0,1,3 Current State: 70:[30, 45], Operations: ['79-14=65', '65-20=45'] Exploring Operation: 30+45=75, Resulting Numbers: [75] 75,70 unequal: No Solution Exploring Operation: 30*45=1350, Resulting Numbers: [1350] 1350,70 unequal: No Solution Exploring Operation: 45-30=15, Resulting Numbers: [15] 15,70 unequal: No Solution Moving to Node #0,1,2 Current State: 70:[65, 50], Operations: ['79-14=65', '30+20=50'] Exploring Operation: 65-50=15, Resulting Numbers: [15] 15,70 unequal: No Solution Exploring Operation: 65*50=3250, Resulting Numbers: [3250] 3250,70 unequal: No Solution Exploring Operation: 65+50=115, Resulting Numbers: [115] 115,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 17, 72, 3, 45 ]
86
[ "17+45=62", "72/3=24", "62+24=86" ]
Current State: 86:[17, 72, 3, 45], Operations: [] Exploring Operation: 17+45=62, Resulting Numbers: [72, 3, 62] Generated Node #2: [72, 3, 62] from Operation: 17+45=62 Current State: 86:[72, 3, 62], Operations: ['17+45=62'] Exploring Operation: 72/3=24, Resulting Numbers: [62, 24] Generated Node #3: [62, 24] from Operation: 72/3=24 Current State: 86:[62, 24], Operations: ['17+45=62', '72/3=24'] Exploring Operation: 62+24=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[17, 72, 3, 45], Operations: [] Exploring Operation: 17+72=89, Resulting Numbers: [3, 45, 89] Generated Node #0,0: 86:[3, 45, 89] Operation: 17+72=89 Start Sub Search at level 1: Moving to Node #0,0 Current State: 86:[3, 45, 89], Operations: ['17+72=89'] Exploring Operation: 89-3=86, Resulting Numbers: [45, 86] Generated Node #0,0,0: 86:[45, 86] Operation: 89-3=86 Moving to Node #0,0,0 Current State: 86:[45, 86], Operations: ['17+72=89', '89-3=86'] Exploring Operation: 86-45=41, Resulting Numbers: [41] 41,86 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
[ 53, 51, 46, 52 ]
21
[ "53+52=105", "51-46=5", "105/5=21" ]
Current State: 21:[53, 51, 46, 52], Operations: [] Exploring Operation: 53+52=105, Resulting Numbers: [51, 46, 105] Generated Node #2: [51, 46, 105] from Operation: 53+52=105 Current State: 21:[51, 46, 105], Operations: ['53+52=105'] Exploring Operation: 51-46=5, Resulting Numbers: [105, 5] Generated Node #3: [105, 5] from Operation: 51-46=5 Current State: 21:[105, 5], Operations: ['53+52=105', '51-46=5'] Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[53, 51, 46, 52], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [51, 52, 7] Generated Node #0,0: 21:[51, 52, 7] Operation: 53-46=7 Exploring Operation: 53-51=2, Resulting Numbers: [46, 52, 2] Generated Node #0,1: 21:[46, 52, 2] Operation: 53-51=2 Exploring Operation: 52-51=1, Resulting Numbers: [53, 46, 1] Generated Node #0,2: 21:[53, 46, 1] Operation: 52-51=1 Exploring Operation: 52-46=6, Resulting Numbers: [53, 51, 6] Generated Node #0,3: 21:[53, 51, 6] Operation: 52-46=6 Exploring Operation: 53-52=1, Resulting Numbers: [51, 46, 1] Generated Node #0,4: 21:[51, 46, 1] Operation: 53-52=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 21:[46, 52, 2], Operations: ['53-51=2'] Exploring Operation: 52-46=6, Resulting Numbers: [2, 6] Generated Node #0,1,0: 21:[2, 6] Operation: 52-46=6 Exploring Operation: 52/2=26, Resulting Numbers: [46, 26] Generated Node #0,1,1: 21:[46, 26] Operation: 52/2=26 Exploring Operation: 46/2=23, Resulting Numbers: [52, 23] Generated Node #0,1,2: 21:[52, 23] Operation: 46/2=23 Exploring Operation: 52-2=50, Resulting Numbers: [46, 50] Generated Node #0,1,3: 21:[46, 50] Operation: 52-2=50 Exploring Operation: 46-2=44, Resulting Numbers: [52, 44] Generated Node #0,1,4: 21:[52, 44] Operation: 46-2=44 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 21:[2, 6], Operations: ['53-51=2', '52-46=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,21 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,21 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: 21:[46, 26], Operations: ['53-51=2', '52/2=26'] Exploring Operation: 46+26=72, Resulting Numbers: [72] 72,21 unequal: No Solution Exploring Operation: 46-26=20, Resulting Numbers: [20] 20,21 unequal: No Solution Exploring Operation: 46*26=1196, Resulting Numbers: [1196] 1196,21 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: 21:[52, 23], Operations: ['53-51=2', '46/2=23'] Exploring Operation: 52-23=29, Resulting Numbers: [29] 29,21 unequal: No Solution Exploring Operation: 52*23=1196, Resulting Numbers: [1196] 1196,21 unequal: No Solution Exploring Operation: 52+23=75, Resulting Numbers: [75] 75,21 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: 21:[46, 50], Operations: ['53-51=2', '52-2=50'] Exploring Operation: 50-46=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 46+50=96, Resulting Numbers: [96] 96,21 unequal: No Solution Exploring Operation: 46*50=2300, Resulting Numbers: [2300] 2300,21 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: 21:[52, 44], Operations: ['53-51=2', '46-2=44'] Exploring Operation: 52*44=2288, Resulting Numbers: [2288] 2288,21 unequal: No Solution Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,21 unequal: No Solution Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,21 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: 21:[51, 46, 1], Operations: ['53-52=1'] Exploring Operation: 51/1=51, Resulting Numbers: [46, 51] Generated Node #0,4,0: 21:[46, 51] Operation: 51/1=51 Exploring Operation: 46-1=45, Resulting Numbers: [51, 45] Generated Node #0,4,1: 21:[51, 45] Operation: 46-1=45 Exploring Operation: 51*1=51, Resulting Numbers: [46, 51] Generated Node #0,4,2: 21:[46, 51] Operation: 51*1=51 Exploring Operation: 51-46=5, Resulting Numbers: [1, 5] Generated Node #0,4,3: 21:[1, 5] Operation: 51-46=5 Exploring Operation: 51-1=50, Resulting Numbers: [46, 50] Generated Node #0,4,4: 21:[46, 50] Operation: 51-1=50 Moving to Node #0,4,3 Current State: 21:[1, 5], Operations: ['53-52=1', '51-46=5'] Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,21 unequal: No Solution Exploring Operation: 1+5=6, Resulting Numbers: [6] 6,21 unequal: No Solution Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 1*5=5, Resulting Numbers: [5] 5,21 unequal: No Solution Moving to Node #0,4,4 Current State: 21:[46, 50], Operations: ['53-52=1', '51-1=50'] Exploring Operation: 46+50=96, Resulting Numbers: [96] 96,21 unequal: No Solution Exploring Operation: 46*50=2300, Resulting Numbers: [2300] 2300,21 unequal: No Solution Exploring Operation: 50-46=4, Resulting Numbers: [4] 4,21 unequal: No Solution Moving to Node #0,4,1 Current State: 21:[51, 45], Operations: ['53-52=1', '46-1=45'] Exploring Operation: 51*45=2295, Resulting Numbers: [2295] 2295,21 unequal: No Solution Exploring Operation: 51-45=6, Resulting Numbers: [6] 6,21 unequal: No Solution Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,21 unequal: No Solution Moving to Node #0,4,0 Current State: 21:[46, 51], Operations: ['53-52=1', '51/1=51'] Exploring Operation: 51-46=5, Resulting Numbers: [5] 5,21 unequal: No Solution Exploring Operation: 46+51=97, Resulting Numbers: [97] 97,21 unequal: No Solution Exploring Operation: 46*51=2346, Resulting Numbers: [2346] 2346,21 unequal: No Solution Moving to Node #0,4,2 Current State: 21:[46, 51], Operations: ['53-52=1', '51*1=51'] Exploring Operation: 46*51=2346, Resulting Numbers: [2346] 2346,21 unequal: No Solution Exploring Operation: 51-46=5, Resulting Numbers: [5] 5,21 unequal: No Solution Exploring Operation: 46+51=97, Resulting Numbers: [97] 97,21 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: 21:[53, 46, 1], Operations: ['52-51=1'] Exploring Operation: 53-46=7, Resulting Numbers: [1, 7] Generated Node #0,2,0: 21:[1, 7] Operation: 53-46=7 Exploring Operation: 53-1=52, Resulting Numbers: [46, 52] Generated Node #0,2,1: 21:[46, 52] Operation: 53-1=52 Exploring Operation: 53*1=53, Resulting Numbers: [46, 53] Generated Node #0,2,2: 21:[46, 53] Operation: 53*1=53 Exploring Operation: 46-1=45, Resulting Numbers: [53, 45] Generated Node #0,2,3: 21:[53, 45] Operation: 46-1=45 Exploring Operation: 53/1=53, Resulting Numbers: [46, 53] Generated Node #0,2,4: 21:[46, 53] Operation: 53/1=53 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 21:[1, 7], Operations: ['52-51=1', '53-46=7'] Exploring Operation: 7/1=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 1+7=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 1*7=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,21 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: 21:[46, 52], Operations: ['52-51=1', '53-1=52'] Exploring Operation: 46*52=2392, Resulting Numbers: [2392] 2392,21 unequal: No Solution Exploring Operation: 52-46=6, Resulting Numbers: [6] 6,21 unequal: No Solution Exploring Operation: 46+52=98, Resulting Numbers: [98] 98,21 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: 21:[53, 45], Operations: ['52-51=1', '46-1=45'] Exploring Operation: 53-45=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 53*45=2385, Resulting Numbers: [2385] 2385,21 unequal: No Solution Exploring Operation: 53+45=98, Resulting Numbers: [98] 98,21 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: 21:[46, 53], Operations: ['52-51=1', '53*1=53'] Exploring Operation: 46*53=2438, Resulting Numbers: [2438] 2438,21 unequal: No Solution Exploring Operation: 53-46=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 46+53=99, Resulting Numbers: [99] 99,21 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: 21:[46, 53], Operations: ['52-51=1', '53/1=53'] Exploring Operation: 46+53=99, Resulting Numbers: [99] 99,21 unequal: No Solution Exploring Operation: 46*53=2438, Resulting Numbers: [2438] 2438,21 unequal: No Solution Exploring Operation: 53-46=7, Resulting Numbers: [7] 7,21 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: 21:[51, 52, 7], Operations: ['53-46=7'] Exploring Operation: 51-7=44, Resulting Numbers: [52, 44] Generated Node #0,0,0: 21:[52, 44] Operation: 51-7=44 Exploring Operation: 52+7=59, Resulting Numbers: [51, 59] Generated Node #0,0,1: 21:[51, 59] Operation: 52+7=59 Exploring Operation: 52-51=1, Resulting Numbers: [7, 1] Generated Node #0,0,2: 21:[7, 1] Operation: 52-51=1 Exploring Operation: 52-7=45, Resulting Numbers: [51, 45] Generated Node #0,0,3: 21:[51, 45] Operation: 52-7=45 Exploring Operation: 51+7=58, Resulting Numbers: [52, 58] Generated Node #0,0,4: 21:[52, 58] Operation: 51+7=58 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 21:[7, 1], Operations: ['53-46=7', '52-51=1'] Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,21 unequal: No Solution Exploring Operation: 7*1=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 7/1=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 7+1=8, Resulting Numbers: [8] 8,21 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: 21:[52, 44], Operations: ['53-46=7', '51-7=44'] Exploring Operation: 52*44=2288, Resulting Numbers: [2288] 2288,21 unequal: No Solution Exploring Operation: 52-44=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 52+44=96, Resulting Numbers: [96] 96,21 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: 21:[51, 45], Operations: ['53-46=7', '52-7=45'] Exploring Operation: 51*45=2295, Resulting Numbers: [2295] 2295,21 unequal: No Solution Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,21 unequal: No Solution Exploring Operation: 51-45=6, Resulting Numbers: [6] 6,21 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: 21:[51, 59], Operations: ['53-46=7', '52+7=59'] Exploring Operation: 51*59=3009, Resulting Numbers: [3009] 3009,21 unequal: No Solution Exploring Operation: 59-51=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 51+59=110, Resulting Numbers: [110] 110,21 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: 21:[52, 58], Operations: ['53-46=7', '51+7=58'] Exploring Operation: 52+58=110, Resulting Numbers: [110] 110,21 unequal: No Solution Exploring Operation: 52*58=3016, Resulting Numbers: [3016] 3016,21 unequal: No Solution Exploring Operation: 58-52=6, Resulting Numbers: [6] 6,21 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: 21:[53, 51, 6], Operations: ['52-46=6'] Exploring Operation: 53-6=47, Resulting Numbers: [51, 47] Generated Node #0,3,0: 21:[51, 47] Operation: 53-6=47 Exploring Operation: 51+6=57, Resulting Numbers: [53, 57] Generated Node #0,3,1: 21:[53, 57] Operation: 51+6=57 Exploring Operation: 53-51=2, Resulting Numbers: [6, 2] Generated Node #0,3,2: 21:[6, 2] Operation: 53-51=2 Exploring Operation: 53+6=59, Resulting Numbers: [51, 59] Generated Node #0,3,3: 21:[51, 59] Operation: 53+6=59 Exploring Operation: 51-6=45, Resulting Numbers: [53, 45] Generated Node #0,3,4: 21:[53, 45] Operation: 51-6=45 Moving to Node #0,3,2 Current State: 21:[6, 2], Operations: ['52-46=6', '53-51=2'] Exploring Operation: 6+2=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,21 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,21 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,21 unequal: No Solution Moving to Node #0,3,4 Current State: 21:[53, 45], Operations: ['52-46=6', '51-6=45'] Exploring Operation: 53+45=98, Resulting Numbers: [98] 98,21 unequal: No Solution Exploring Operation: 53*45=2385, Resulting Numbers: [2385] 2385,21 unequal: No Solution Exploring Operation: 53-45=8, Resulting Numbers: [8] 8,21 unequal: No Solution Moving to Node #0,3,0 Current State: 21:[51, 47], Operations: ['52-46=6', '53-6=47'] Exploring Operation: 51*47=2397, Resulting Numbers: [2397] 2397,21 unequal: No Solution Exploring Operation: 51-47=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 51+47=98, Resulting Numbers: [98] 98,21 unequal: No Solution Moving to Node #0,3,1 Current State: 21:[53, 57], Operations: ['52-46=6', '51+6=57'] Exploring Operation: 53+57=110, Resulting Numbers: [110] 110,21 unequal: No Solution Exploring Operation: 57-53=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 53*57=3021, Resulting Numbers: [3021] 3021,21 unequal: No Solution Moving to Node #0,3,3 Current State: 21:[51, 59], Operations: ['52-46=6', '53+6=59'] Exploring Operation: 59-51=8, Resulting Numbers: [8] 8,21 unequal: No Solution Exploring Operation: 51+59=110, Resulting Numbers: [110] 110,21 unequal: No Solution Exploring Operation: 51*59=3009, Resulting Numbers: [3009] 3009,21 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
[ 5, 32, 20, 53 ]
60
[ "32-5=27", "53-20=33", "27+33=60" ]
Current State: 60:[5, 32, 20, 53], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [20, 53, 27] Generated Node #2: [20, 53, 27] from Operation: 32-5=27 Current State: 60:[20, 53, 27], Operations: ['32-5=27'] Exploring Operation: 53-20=33, Resulting Numbers: [27, 33] Generated Node #3: [27, 33] from Operation: 53-20=33 Current State: 60:[27, 33], Operations: ['32-5=27', '53-20=33'] Exploring Operation: 27+33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[5, 32, 20, 53], Operations: [] Exploring Operation: 20-5=15, Resulting Numbers: [32, 53, 15] Generated Node #0,0: 60:[32, 53, 15] Operation: 20-5=15 Exploring Operation: 53-20=33, Resulting Numbers: [5, 32, 33] Generated Node #0,1: 60:[5, 32, 33] Operation: 53-20=33 Exploring Operation: 5+53=58, Resulting Numbers: [32, 20, 58] Generated Node #0,2: 60:[32, 20, 58] Operation: 5+53=58 Exploring Operation: 32-20=12, Resulting Numbers: [5, 53, 12] Generated Node #0,3: 60:[5, 53, 12] Operation: 32-20=12 Exploring Operation: 53-32=21, Resulting Numbers: [5, 20, 21] Generated Node #0,4: 60:[5, 20, 21] Operation: 53-32=21 Moving to Node #0,4 Current State: 60:[5, 20, 21], Operations: ['53-32=21'] Exploring Operation: 5+21=26, Resulting Numbers: [20, 26] Generated Node #0,4,0: 60:[20, 26] Operation: 5+21=26 Exploring Operation: 21-5=16, Resulting Numbers: [20, 16] Generated Node #0,4,1: 60:[20, 16] Operation: 21-5=16 Exploring Operation: 20/5=4, Resulting Numbers: [21, 4] Generated Node #0,4,2: 60:[21, 4] Operation: 20/5=4 Exploring Operation: 21-20=1, Resulting Numbers: [5, 1] Generated Node #0,4,3: 60:[5, 1] Operation: 21-20=1 Exploring Operation: 20-5=15, Resulting Numbers: [21, 15] Generated Node #0,4,4: 60:[21, 15] Operation: 20-5=15 Moving to Node #0,2 Current State: 60:[32, 20, 58], Operations: ['5+53=58'] Exploring Operation: 32-20=12, Resulting Numbers: [58, 12] Generated Node #0,2,0: 60:[58, 12] Operation: 32-20=12 Exploring Operation: 58-32=26, Resulting Numbers: [20, 26] Generated Node #0,2,1: 60:[20, 26] Operation: 58-32=26 Exploring Operation: 58-20=38, Resulting Numbers: [32, 38] Generated Node #0,2,2: 60:[32, 38] Operation: 58-20=38 Exploring Operation: 20+58=78, Resulting Numbers: [32, 78] Generated Node #0,2,3: 60:[32, 78] Operation: 20+58=78 Exploring Operation: 32+20=52, Resulting Numbers: [58, 52] Generated Node #0,2,4: 60:[58, 52] Operation: 32+20=52 Moving to Node #0,1 Current State: 60:[5, 32, 33], Operations: ['53-20=33'] Exploring Operation: 33-5=28, Resulting Numbers: [32, 28] Generated Node #0,1,0: 60:[32, 28] Operation: 33-5=28 Exploring Operation: 33-32=1, Resulting Numbers: [5, 1] Generated Node #0,1,1: 60:[5, 1] Operation: 33-32=1 Exploring Operation: 32+33=65, Resulting Numbers: [5, 65] Generated Node #0,1,2: 60:[5, 65] Operation: 32+33=65 Exploring Operation: 32-5=27, Resulting Numbers: [33, 27] Generated Node #0,1,3: 60:[33, 27] Operation: 32-5=27 Exploring Operation: 5+32=37, Resulting Numbers: [33, 37] Generated Node #0,1,4: 60:[33, 37] Operation: 5+32=37 Moving to Node #0,3 Current State: 60:[5, 53, 12], Operations: ['32-20=12'] Exploring Operation: 5+12=17, Resulting Numbers: [53, 17] Generated Node #0,3,0: 60:[53, 17] Operation: 5+12=17 Exploring Operation: 12-5=7, Resulting Numbers: [53, 7] Generated Node #0,3,1: 60:[53, 7] Operation: 12-5=7 Exploring Operation: 5*12=60, Resulting Numbers: [53, 60] Generated Node #0,3,2: 60:[53, 60] Operation: 5*12=60 Exploring Operation: 53+12=65, Resulting Numbers: [5, 65] Generated Node #0,3,3: 60:[5, 65] Operation: 53+12=65 Exploring Operation: 5+53=58, Resulting Numbers: [12, 58] Generated Node #0,3,4: 60:[12, 58] Operation: 5+53=58 Moving to Node #0,0 Current State: 60:[32, 53, 15], Operations: ['20-5=15'] Exploring Operation: 53-32=21, Resulting Numbers: [15, 21] Generated Node #0,0,0: 60:[15, 21] Operation: 53-32=21 Exploring Operation: 32-15=17, Resulting Numbers: [53, 17] Generated Node #0,0,1: 60:[53, 17] Operation: 32-15=17 Exploring Operation: 32+15=47, Resulting Numbers: [53, 47] Generated Node #0,0,2: 60:[53, 47] Operation: 32+15=47 Exploring Operation: 53-15=38, Resulting Numbers: [32, 38] Generated Node #0,0,3: 60:[32, 38] Operation: 53-15=38 Exploring Operation: 53+15=68, Resulting Numbers: [32, 68] Generated Node #0,0,4: 60:[32, 68] Operation: 53+15=68 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 60:[15, 21], Operations: ['20-5=15', '53-32=21'] Exploring Operation: 15+21=36, Resulting Numbers: [36] 36,60 unequal: No Solution Exploring Operation: 15*21=315, Resulting Numbers: [315] 315,60 unequal: No Solution Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,60 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: 60:[53, 17], Operations: ['20-5=15', '32-15=17'] Exploring Operation: 53+17=70, Resulting Numbers: [70] 70,60 unequal: No Solution Exploring Operation: 53*17=901, Resulting Numbers: [901] 901,60 unequal: No Solution Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,60 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: 60:[32, 38], Operations: ['20-5=15', '53-15=38'] Exploring Operation: 32*38=1216, Resulting Numbers: [1216] 1216,60 unequal: No Solution Exploring Operation: 38-32=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 32+38=70, Resulting Numbers: [70] 70,60 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: 60:[32, 68], Operations: ['20-5=15', '53+15=68'] Exploring Operation: 32*68=2176, Resulting Numbers: [2176] 2176,60 unequal: No Solution Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,60 unequal: No Solution Exploring Operation: 32+68=100, Resulting Numbers: [100] 100,60 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: 60:[53, 47], Operations: ['20-5=15', '32+15=47'] Exploring Operation: 53+47=100, Resulting Numbers: [100] 100,60 unequal: No Solution Exploring Operation: 53*47=2491, Resulting Numbers: [2491] 2491,60 unequal: No Solution Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4,1 Current State: 60:[20, 16], Operations: ['53-32=21', '21-5=16'] Exploring Operation: 20+16=36, Resulting Numbers: [36] 36,60 unequal: No Solution Exploring Operation: 20-16=4, Resulting Numbers: [4] 4,60 unequal: No Solution Exploring Operation: 20*16=320, Resulting Numbers: [320] 320,60 unequal: No Solution Moving to Node #0,4,3 Current State: 60:[5, 1], Operations: ['53-32=21', '21-20=1'] Exploring Operation: 5+1=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 5*1=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,60 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,60 unequal: No Solution Moving to Node #0,4,2 Current State: 60:[21, 4], Operations: ['53-32=21', '20/5=4'] Exploring Operation: 21-4=17, Resulting Numbers: [17] 17,60 unequal: No Solution Exploring Operation: 21+4=25, Resulting Numbers: [25] 25,60 unequal: No Solution Exploring Operation: 21*4=84, Resulting Numbers: [84] 84,60 unequal: No Solution Moving to Node #0,1,1 Current State: 60:[5, 1], Operations: ['53-20=33', '33-32=1'] Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 5+1=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,60 unequal: No Solution Exploring Operation: 5*1=5, Resulting Numbers: [5] 5,60 unequal: No Solution Moving to Node #0,4,4 Current State: 60:[21, 15], Operations: ['53-32=21', '20-5=15'] Exploring Operation: 21-15=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 21+15=36, Resulting Numbers: [36] 36,60 unequal: No Solution Exploring Operation: 21*15=315, Resulting Numbers: [315] 315,60 unequal: No Solution Moving to Node #0,2,0 Current State: 60:[58, 12], Operations: ['5+53=58', '32-20=12'] Exploring Operation: 58*12=696, Resulting Numbers: [696] 696,60 unequal: No Solution Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,60 unequal: No Solution Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,60 unequal: No Solution Moving to Node #0,3,4 Current State: 60:[12, 58], Operations: ['32-20=12', '5+53=58'] Exploring Operation: 12*58=696, Resulting Numbers: [696] 696,60 unequal: No Solution Exploring Operation: 12+58=70, Resulting Numbers: [70] 70,60 unequal: No Solution Exploring Operation: 58-12=46, Resulting Numbers: [46] 46,60 unequal: No Solution Moving to Node #0,2,1 Current State: 60:[20, 26], Operations: ['5+53=58', '58-32=26'] Exploring Operation: 20+26=46, Resulting Numbers: [46] 46,60 unequal: No Solution Exploring Operation: 26-20=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 20*26=520, Resulting Numbers: [520] 520,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[32, 28], Operations: ['53-20=33', '33-5=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[5, 32, 20, 53], Operations: [] Exploring Operation: 53-20=33, Resulting Numbers: [5, 32, 33] Generated Node #0,1: 60:[5, 32, 33] Operation: 53-20=33 Moving to Node #0,1 Current State: 60:[5, 32, 33], Operations: ['53-20=33'] Exploring Operation: 33-5=28, Resulting Numbers: [32, 28] Generated Node #0,1,0: 60:[32, 28] Operation: 33-5=28 Moving to Node #0,1,0 Current State: 60:[32, 28], Operations: ['53-20=33', '33-5=28'] Exploring Operation: 32+28=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
0.934028
hs_5
sum_heuristic
[ 59, 52, 92, 57 ]
28
[ "59-52=7", "92-57=35", "35-7=28" ]
Current State: 28:[59, 52, 92, 57], Operations: [] Exploring Operation: 59-52=7, Resulting Numbers: [92, 57, 7] Generated Node #2: [92, 57, 7] from Operation: 59-52=7 Current State: 28:[92, 57, 7], Operations: ['59-52=7'] Exploring Operation: 92-57=35, Resulting Numbers: [7, 35] Generated Node #3: [7, 35] from Operation: 92-57=35 Current State: 28:[7, 35], Operations: ['59-52=7', '92-57=35'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[59, 52, 92, 57], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [52, 57, 33] Generated Node #0,0: 28:[52, 57, 33] Operation: 92-59=33 Exploring Operation: 92-57=35, Resulting Numbers: [59, 52, 35] Generated Node #0,1: 28:[59, 52, 35] Operation: 92-57=35 Exploring Operation: 92-52=40, Resulting Numbers: [59, 57, 40] Generated Node #0,2: 28:[59, 57, 40] Operation: 92-52=40 Exploring Operation: 59-57=2, Resulting Numbers: [52, 92, 2] Generated Node #0,3: 28:[52, 92, 2] Operation: 59-57=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[52, 57, 33], Operations: ['92-59=33'] Exploring Operation: 52-33=19, Resulting Numbers: [57, 19] Generated Node #0,0,0: 28:[57, 19] Operation: 52-33=19 Exploring Operation: 57-52=5, Resulting Numbers: [33, 5] Generated Node #0,0,1: 28:[33, 5] Operation: 57-52=5 Exploring Operation: 57-33=24, Resulting Numbers: [52, 24] Generated Node #0,0,2: 28:[52, 24] Operation: 57-33=24 Exploring Operation: 52+57=109, Resulting Numbers: [33, 109] Generated Node #0,0,3: 28:[33, 109] Operation: 52+57=109 Moving to Node #0,0,1 Current State: 28:[33, 5], Operations: ['92-59=33', '57-52=5'] Exploring Operation: 33*5=165, Resulting Numbers: [165] 165,28 unequal: No Solution Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[59, 52, 92, 57], Operations: [] Exploring Operation: 92-59=33, Resulting Numbers: [52, 57, 33] Generated Node #0,0: 28:[52, 57, 33] Operation: 92-59=33 Moving to Node #0,0 Current State: 28:[52, 57, 33], Operations: ['92-59=33'] Exploring Operation: 57-52=5, Resulting Numbers: [33, 5] Generated Node #0,0,1: 28:[33, 5] Operation: 57-52=5 Moving to Node #0,0,1 Current State: 28:[33, 5], Operations: ['92-59=33', '57-52=5'] Exploring Operation: 33-5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_4
sum_heuristic
[ 48, 49, 44, 86 ]
43
[ "49-48=1", "86-44=42", "1+42=43" ]
Current State: 43:[48, 49, 44, 86], Operations: [] Exploring Operation: 49-48=1, Resulting Numbers: [44, 86, 1] Generated Node #2: [44, 86, 1] from Operation: 49-48=1 Current State: 43:[44, 86, 1], Operations: ['49-48=1'] Exploring Operation: 86-44=42, Resulting Numbers: [1, 42] Generated Node #3: [1, 42] from Operation: 86-44=42 Current State: 43:[1, 42], Operations: ['49-48=1', '86-44=42'] Exploring Operation: 1+42=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[48, 49, 44, 86], Operations: [] Exploring Operation: 86-49=37, Resulting Numbers: [48, 44, 37] Generated Node #0,0: 43:[48, 44, 37] Operation: 86-49=37 Exploring Operation: 86-48=38, Resulting Numbers: [49, 44, 38] Generated Node #0,1: 43:[49, 44, 38] Operation: 86-48=38 Exploring Operation: 86-44=42, Resulting Numbers: [48, 49, 42] Generated Node #0,2: 43:[48, 49, 42] Operation: 86-44=42 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[48, 44, 37], Operations: ['86-49=37'] Exploring Operation: 48-37=11, Resulting Numbers: [44, 11] Generated Node #0,0,0: 43:[44, 11] Operation: 48-37=11 Exploring Operation: 48+37=85, Resulting Numbers: [44, 85] Generated Node #0,0,1: 43:[44, 85] Operation: 48+37=85 Exploring Operation: 44-37=7, Resulting Numbers: [48, 7] Generated Node #0,0,2: 43:[48, 7] Operation: 44-37=7 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 43:[44, 11], Operations: ['86-49=37', '48-37=11'] Exploring Operation: 44+11=55, Resulting Numbers: [55] 55,43 unequal: No Solution Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,43 unequal: No Solution Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,43 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: 43:[48, 7], Operations: ['86-49=37', '44-37=7'] Exploring Operation: 48+7=55, Resulting Numbers: [55] 55,43 unequal: No Solution Exploring Operation: 48*7=336, Resulting Numbers: [336] 336,43 unequal: No Solution Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,43 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: 43:[44, 85], Operations: ['86-49=37', '48+37=85'] Exploring Operation: 44*85=3740, Resulting Numbers: [3740] 3740,43 unequal: No Solution Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,43 unequal: No Solution Exploring Operation: 44+85=129, Resulting Numbers: [129] 129,43 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: 43:[49, 44, 38], Operations: ['86-48=38'] Exploring Operation: 44-38=6, Resulting Numbers: [49, 6] Generated Node #0,1,0: 43:[49, 6] Operation: 44-38=6 Exploring Operation: 49-38=11, Resulting Numbers: [44, 11] Generated Node #0,1,1: 43:[44, 11] Operation: 49-38=11 Exploring Operation: 49-44=5, Resulting Numbers: [38, 5] Generated Node #0,1,2: 43:[38, 5] Operation: 49-44=5 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 43:[44, 11], Operations: ['86-48=38', '49-38=11'] Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,43 unequal: No Solution Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,43 unequal: No Solution Exploring Operation: 44+11=55, Resulting Numbers: [55] 55,43 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: 43:[49, 6], Operations: ['86-48=38', '44-38=6'] Exploring Operation: 49+6=55, Resulting Numbers: [55] 55,43 unequal: No Solution Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[48, 49, 44, 86], Operations: [] Exploring Operation: 86-48=38, Resulting Numbers: [49, 44, 38] Generated Node #0,1: 43:[49, 44, 38] Operation: 86-48=38 Moving to Node #0,1 Current State: 43:[49, 44, 38], Operations: ['86-48=38'] Exploring Operation: 44-38=6, Resulting Numbers: [49, 6] Generated Node #0,1,0: 43:[49, 6] Operation: 44-38=6 Moving to Node #0,1,0 Current State: 43:[49, 6], Operations: ['86-48=38', '44-38=6'] Exploring Operation: 49-6=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.976563
hs_3
sum_heuristic
[ 3, 93, 25, 8 ]
98
[ "8-3=5", "25/5=5", "93+5=98" ]
Current State: 98:[3, 93, 25, 8], Operations: [] Exploring Operation: 8-3=5, Resulting Numbers: [93, 25, 5] Generated Node #2: [93, 25, 5] from Operation: 8-3=5 Current State: 98:[93, 25, 5], Operations: ['8-3=5'] Exploring Operation: 25/5=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 25/5=5 Current State: 98:[93, 5], Operations: ['8-3=5', '25/5=5'] Exploring Operation: 93+5=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[3, 93, 25, 8], Operations: [] Exploring Operation: 25-8=17, Resulting Numbers: [3, 93, 17] Generated Node #0,0: 98:[3, 93, 17] Operation: 25-8=17 Exploring Operation: 93+8=101, Resulting Numbers: [3, 25, 101] Generated Node #0,1: 98:[3, 25, 101] Operation: 93+8=101 Exploring Operation: 3+93=96, Resulting Numbers: [25, 8, 96] Generated Node #0,2: 98:[25, 8, 96] Operation: 3+93=96 Exploring Operation: 25-3=22, Resulting Numbers: [93, 8, 22] Generated Node #0,3: 98:[93, 8, 22] Operation: 25-3=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 98:[3, 93, 17], Operations: ['25-8=17'] Exploring Operation: 93-3=90, Resulting Numbers: [17, 90] Generated Node #0,0,0: 98:[17, 90] Operation: 93-3=90 Exploring Operation: 3+93=96, Resulting Numbers: [17, 96] Generated Node #0,0,1: 98:[17, 96] Operation: 3+93=96 Exploring Operation: 17-3=14, Resulting Numbers: [93, 14] Generated Node #0,0,2: 98:[93, 14] Operation: 17-3=14 Exploring Operation: 3*17=51, Resulting Numbers: [93, 51] Generated Node #0,0,3: 98:[93, 51] Operation: 3*17=51 Moving to Node #0,0,1 Current State: 98:[17, 96], Operations: ['25-8=17', '3+93=96'] Exploring Operation: 17+96=113, Resulting Numbers: [113] 113,98 unequal: No Solution Exploring Operation: 17*96=1632, Resulting Numbers: [1632] 1632,98 unequal: No Solution Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,98 unequal: No Solution Moving to Node #0,0,2 Current State: 98:[93, 14], Operations: ['25-8=17', '17-3=14'] Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 93*14=1302, Resulting Numbers: [1302] 1302,98 unequal: No Solution Exploring Operation: 93+14=107, Resulting Numbers: [107] 107,98 unequal: No Solution Moving to Node #0,0,3 Current State: 98:[93, 51], Operations: ['25-8=17', '3*17=51'] Exploring Operation: 93-51=42, Resulting Numbers: [42] 42,98 unequal: No Solution Exploring Operation: 93+51=144, Resulting Numbers: [144] 144,98 unequal: No Solution Exploring Operation: 93*51=4743, Resulting Numbers: [4743] 4743,98 unequal: No Solution Moving to Node #0,0,0 Current State: 98:[17, 90], Operations: ['25-8=17', '93-3=90'] Exploring Operation: 17+90=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,98 unequal: No Solution Exploring Operation: 17*90=1530, Resulting Numbers: [1530] 1530,98 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: 98:[25, 8, 96], Operations: ['3+93=96'] Exploring Operation: 25-8=17, Resulting Numbers: [96, 17] Generated Node #0,2,0: 98:[96, 17] Operation: 25-8=17 Exploring Operation: 25+8=33, Resulting Numbers: [96, 33] Generated Node #0,2,1: 98:[96, 33] Operation: 25+8=33 Exploring Operation: 96/8=12, Resulting Numbers: [25, 12] Generated Node #0,2,2: 98:[25, 12] Operation: 96/8=12 Exploring Operation: 8+96=104, Resulting Numbers: [25, 104] Generated Node #0,2,3: 98:[25, 104] Operation: 8+96=104 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 98:[96, 17], Operations: ['3+93=96', '25-8=17'] Exploring Operation: 96+17=113, Resulting Numbers: [113] 113,98 unequal: No Solution Exploring Operation: 96-17=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 96*17=1632, Resulting Numbers: [1632] 1632,98 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: 98:[25, 12], Operations: ['3+93=96', '96/8=12'] Exploring Operation: 25*12=300, Resulting Numbers: [300] 300,98 unequal: No Solution Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,98 unequal: No Solution Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,98 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: 98:[25, 104], Operations: ['3+93=96', '8+96=104'] Exploring Operation: 25*104=2600, Resulting Numbers: [2600] 2600,98 unequal: No Solution Exploring Operation: 104-25=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 25+104=129, Resulting Numbers: [129] 129,98 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: 98:[96, 33], Operations: ['3+93=96', '25+8=33'] Exploring Operation: 96+33=129, Resulting Numbers: [129] 129,98 unequal: No Solution Exploring Operation: 96-33=63, Resulting Numbers: [63] 63,98 unequal: No Solution Exploring Operation: 96*33=3168, Resulting Numbers: [3168] 3168,98 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: 98:[93, 8, 22], Operations: ['25-3=22'] Exploring Operation: 93+22=115, Resulting Numbers: [8, 115] Generated Node #0,3,0: 98:[8, 115] Operation: 93+22=115 Exploring Operation: 93-8=85, Resulting Numbers: [22, 85] Generated Node #0,3,1: 98:[22, 85] Operation: 93-8=85 Exploring Operation: 22-8=14, Resulting Numbers: [93, 14] Generated Node #0,3,2: 98:[93, 14] Operation: 22-8=14 Exploring Operation: 93+8=101, Resulting Numbers: [22, 101] Generated Node #0,3,3: 98:[22, 101] Operation: 93+8=101 Moving to Node #0,3,2 Current State: 98:[93, 14], Operations: ['25-3=22', '22-8=14'] Exploring Operation: 93*14=1302, Resulting Numbers: [1302] 1302,98 unequal: No Solution Exploring Operation: 93+14=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 93-14=79, Resulting Numbers: [79] 79,98 unequal: No Solution Moving to Node #0,3,3 Current State: 98:[22, 101], Operations: ['25-3=22', '93+8=101'] Exploring Operation: 22*101=2222, Resulting Numbers: [2222] 2222,98 unequal: No Solution Exploring Operation: 101-22=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 22+101=123, Resulting Numbers: [123] 123,98 unequal: No Solution Moving to Node #0,3,0 Current State: 98:[8, 115], Operations: ['25-3=22', '93+22=115'] Exploring Operation: 115-8=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 8*115=920, Resulting Numbers: [920] 920,98 unequal: No Solution Exploring Operation: 8+115=123, Resulting Numbers: [123] 123,98 unequal: No Solution Moving to Node #0,3,1 Current State: 98:[22, 85], Operations: ['25-3=22', '93-8=85'] Exploring Operation: 85-22=63, Resulting Numbers: [63] 63,98 unequal: No Solution Exploring Operation: 22+85=107, Resulting Numbers: [107] 107,98 unequal: No Solution Exploring Operation: 22*85=1870, Resulting Numbers: [1870] 1870,98 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: 98:[3, 25, 101], Operations: ['93+8=101'] Exploring Operation: 3+101=104, Resulting Numbers: [25, 104] Generated Node #0,1,0: 98:[25, 104] Operation: 3+101=104 Exploring Operation: 25-3=22, Resulting Numbers: [101, 22] Generated Node #0,1,1: 98:[101, 22] Operation: 25-3=22 Exploring Operation: 3+25=28, Resulting Numbers: [101, 28] Generated Node #0,1,2: 98:[101, 28] Operation: 3+25=28 Exploring Operation: 101-3=98, Resulting Numbers: [25, 98] Generated Node #0,1,3: 98:[25, 98] Operation: 101-3=98 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 98:[101, 22], Operations: ['93+8=101', '25-3=22'] Exploring Operation: 101-22=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 101*22=2222, Resulting Numbers: [2222] 2222,98 unequal: No Solution Exploring Operation: 101+22=123, Resulting Numbers: [123] 123,98 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: 98:[25, 98], Operations: ['93+8=101', '101-3=98'] Exploring Operation: 98-25=73, Resulting Numbers: [73] 73,98 unequal: No Solution Exploring Operation: 25+98=123, Resulting Numbers: [123] 123,98 unequal: No Solution Exploring Operation: 25*98=2450, Resulting Numbers: [2450] 2450,98 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: 98:[25, 104], Operations: ['93+8=101', '3+101=104'] Exploring Operation: 104-25=79, Resulting Numbers: [79] 79,98 unequal: No Solution Exploring Operation: 25+104=129, Resulting Numbers: [129] 129,98 unequal: No Solution Exploring Operation: 25*104=2600, Resulting Numbers: [2600] 2600,98 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: 98:[101, 28], Operations: ['93+8=101', '3+25=28'] Exploring Operation: 101+28=129, Resulting Numbers: [129] 129,98 unequal: No Solution Exploring Operation: 101*28=2828, Resulting Numbers: [2828] 2828,98 unequal: No Solution Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,98 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
mult_heuristic
[ 4, 93, 33, 18 ]
12
[ "4*18=72", "93-33=60", "72-60=12" ]
Current State: 12:[4, 93, 33, 18], Operations: [] Exploring Operation: 4*18=72, Resulting Numbers: [93, 33, 72] Generated Node #2: [93, 33, 72] from Operation: 4*18=72 Current State: 12:[93, 33, 72], Operations: ['4*18=72'] Exploring Operation: 93-33=60, Resulting Numbers: [72, 60] Generated Node #3: [72, 60] from Operation: 93-33=60 Current State: 12:[72, 60], Operations: ['4*18=72', '93-33=60'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[4, 93, 33, 18], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [4, 18, 60] Generated Node #0,0: 12:[4, 18, 60] Operation: 93-33=60 Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[4, 18, 60], Operations: ['93-33=60'] Exploring Operation: 60/4=15, Resulting Numbers: [18, 15] Generated Node #0,0,0: 12:[18, 15] Operation: 60/4=15 Moving to Node #0,0,0 Current State: 12:[18, 15], Operations: ['93-33=60', '60/4=15'] Exploring Operation: 18-15=3, Resulting Numbers: [3] 3,12 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
[ 29, 2, 40, 29 ]
76
[ "29+29=58", "2*58=116", "116-40=76" ]
Current State: 76:[29, 2, 40, 29], Operations: [] Exploring Operation: 29+29=58, Resulting Numbers: [2, 40, 58] Generated Node #2: [2, 40, 58] from Operation: 29+29=58 Current State: 76:[2, 40, 58], Operations: ['29+29=58'] Exploring Operation: 2*58=116, Resulting Numbers: [40, 116] Generated Node #3: [40, 116] from Operation: 2*58=116 Current State: 76:[40, 116], Operations: ['29+29=58', '2*58=116'] Exploring Operation: 116-40=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[29, 2, 40, 29], Operations: [] Exploring Operation: 29-29=0, Resulting Numbers: [2, 40, 0] Generated Node #0,0: 76:[2, 40, 0] Operation: 29-29=0 Exploring Operation: 29/29=1, Resulting Numbers: [2, 40, 1] Generated Node #0,1: 76:[2, 40, 1] Operation: 29/29=1 Exploring Operation: 29+40=69, Resulting Numbers: [2, 29, 69] Generated Node #0,2: 76:[2, 29, 69] Operation: 29+40=69 Exploring Operation: 40-29=11, Resulting Numbers: [2, 29, 11] Generated Node #0,3: 76:[2, 29, 11] Operation: 40-29=11 Moving to Node #0,1 Current State: 76:[2, 40, 1], Operations: ['29/29=1'] Exploring Operation: 2*1=2, Resulting Numbers: [40, 2] Generated Node #0,1,0: 76:[40, 2] Operation: 2*1=2 Exploring Operation: 40-2=38, Resulting Numbers: [1, 38] Generated Node #0,1,1: 76:[1, 38] Operation: 40-2=38 Exploring Operation: 40/2=20, Resulting Numbers: [1, 20] Generated Node #0,1,2: 76:[1, 20] Operation: 40/2=20 Exploring Operation: 40-1=39, Resulting Numbers: [2, 39] Generated Node #0,1,3: 76:[2, 39] Operation: 40-1=39 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 76:[1, 38], Operations: ['29/29=1', '40-2=38'] Exploring Operation: 1*38=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 38/1=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 38-1=37, Resulting Numbers: [37] 37,76 unequal: No Solution Exploring Operation: 1+38=39, Resulting Numbers: [39] 39,76 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: 76:[2, 39], Operations: ['29/29=1', '40-1=39'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,76 unequal: No Solution Exploring Operation: 2+39=41, Resulting Numbers: [41] 41,76 unequal: No Solution Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,76 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: 76:[40, 2], Operations: ['29/29=1', '2*1=2'] Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,76 unequal: No Solution Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 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: 76:[1, 20], Operations: ['29/29=1', '40/2=20'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,76 unequal: No Solution Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 1+20=21, Resulting Numbers: [21] 21,76 unequal: No Solution Exploring Operation: 1*20=20, Resulting Numbers: [20] 20,76 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: 76:[2, 40, 0], Operations: ['29-29=0'] Exploring Operation: 40-2=38, Resulting Numbers: [0, 38] Generated Node #0,0,0: 76:[0, 38] Operation: 40-2=38 Exploring Operation: 40+0=40, Resulting Numbers: [2, 40] Generated Node #0,0,1: 76:[2, 40] Operation: 40+0=40 Exploring Operation: 2+0=2, Resulting Numbers: [40, 2] Generated Node #0,0,2: 76:[40, 2] Operation: 2+0=2 Exploring Operation: 2-0=2, Resulting Numbers: [40, 2] Generated Node #0,0,3: 76:[40, 2] Operation: 2-0=2 Moving to Node #0,3 Current State: 76:[2, 29, 11], Operations: ['40-29=11'] Exploring Operation: 2+29=31, Resulting Numbers: [11, 31] Generated Node #0,3,0: 76:[11, 31] Operation: 2+29=31 Exploring Operation: 29-11=18, Resulting Numbers: [2, 18] Generated Node #0,3,1: 76:[2, 18] Operation: 29-11=18 Exploring Operation: 2*11=22, Resulting Numbers: [29, 22] Generated Node #0,3,2: 76:[29, 22] Operation: 2*11=22 Exploring Operation: 29+11=40, Resulting Numbers: [2, 40] Generated Node #0,3,3: 76:[2, 40] Operation: 29+11=40 Moving to Node #0,2 Current State: 76:[2, 29, 69], Operations: ['29+40=69'] Exploring Operation: 69-29=40, Resulting Numbers: [2, 40] Generated Node #0,2,0: 76:[2, 40] Operation: 69-29=40 Exploring Operation: 2+29=31, Resulting Numbers: [69, 31] Generated Node #0,2,1: 76:[69, 31] Operation: 2+29=31 Exploring Operation: 29-2=27, Resulting Numbers: [69, 27] Generated Node #0,2,2: 76:[69, 27] Operation: 29-2=27 Exploring Operation: 2+69=71, Resulting Numbers: [29, 71] Generated Node #0,2,3: 76:[29, 71] Operation: 2+69=71 Moving to Node #0,3,1 Current State: 76:[2, 18], Operations: ['40-29=11', '29-11=18'] Exploring Operation: 18/2=9, Resulting Numbers: [9] 9,76 unequal: No Solution Exploring Operation: 18-2=16, Resulting Numbers: [16] 16,76 unequal: No Solution Exploring Operation: 2+18=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 2*18=36, Resulting Numbers: [36] 36,76 unequal: No Solution Moving to Node #0,0,2 Current State: 76:[40, 2], Operations: ['29-29=0', '2+0=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,76 unequal: No Solution Moving to Node #0,3,3 Current State: 76:[2, 40], Operations: ['40-29=11', '29+11=40'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,76 unequal: No Solution Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,76 unequal: No Solution Moving to Node #0,0,0 Current State: 76:[0, 38], Operations: ['29-29=0', '40-2=38'] Exploring Operation: 38-0=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 0+38=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 0*38=0, Resulting Numbers: [0] 0,76 unequal: No Solution Moving to Node #0,0,1 Current State: 76:[2, 40], Operations: ['29-29=0', '40+0=40'] Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Moving to Node #0,0,3 Current State: 76:[40, 2], Operations: ['29-29=0', '2-0=2'] Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,76 unequal: No Solution Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[2, 40], Operations: ['29+40=69', '69-29=40'] Exploring Operation: 2*40=80, Resulting Numbers: [80] 80,76 unequal: No Solution Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 2+40=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 40-2=38, Resulting Numbers: [38] 38,76 unequal: No Solution Moving to Node #0,3,2 Current State: 76:[29, 22], Operations: ['40-29=11', '2*11=22'] Exploring Operation: 29*22=638, Resulting Numbers: [638] 638,76 unequal: No Solution Exploring Operation: 29-22=7, Resulting Numbers: [7] 7,76 unequal: No Solution Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,76 unequal: No Solution Moving to Node #0,2,1 Current State: 76:[69, 31], Operations: ['29+40=69', '2+29=31'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,76 unequal: No Solution Exploring Operation: 69+31=100, Resulting Numbers: [100] 100,76 unequal: No Solution Exploring Operation: 69*31=2139, Resulting Numbers: [2139] 2139,76 unequal: No Solution Moving to Node #0,3,0 Current State: 76:[11, 31], Operations: ['40-29=11', '2+29=31'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,76 unequal: No Solution Exploring Operation: 11+31=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 11*31=341, Resulting Numbers: [341] 341,76 unequal: No Solution Moving to Node #0,2,3 Current State: 76:[29, 71], Operations: ['29+40=69', '2+69=71'] Exploring Operation: 29+71=100, Resulting Numbers: [100] 100,76 unequal: No Solution Exploring Operation: 29*71=2059, Resulting Numbers: [2059] 2059,76 unequal: No Solution Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[69, 27], Operations: ['29+40=69', '29-2=27'] Exploring Operation: 69-27=42, Resulting Numbers: [42] 42,76 unequal: No Solution Exploring Operation: 69*27=1863, Resulting Numbers: [1863] 1863,76 unequal: No Solution Exploring Operation: 69+27=96, Resulting Numbers: [96] 96,76 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 69, 71, 15, 6 ]
42
[ "71-69=2", "15+6=21", "2*21=42" ]
Current State: 42:[69, 71, 15, 6], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [15, 6, 2] Generated Node #2: [15, 6, 2] from Operation: 71-69=2 Current State: 42:[15, 6, 2], Operations: ['71-69=2'] Exploring Operation: 15+6=21, Resulting Numbers: [2, 21] Generated Node #3: [2, 21] from Operation: 15+6=21 Current State: 42:[2, 21], Operations: ['71-69=2', '15+6=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[69, 71, 15, 6], Operations: [] Exploring Operation: 69-15=54, Resulting Numbers: [71, 6, 54] Generated Node #0,0: 42:[71, 6, 54] Operation: 69-15=54 Exploring Operation: 71-69=2, Resulting Numbers: [15, 6, 2] Generated Node #0,1: 42:[15, 6, 2] Operation: 71-69=2 Exploring Operation: 71-6=65, Resulting Numbers: [69, 15, 65] Generated Node #0,2: 42:[69, 15, 65] Operation: 71-6=65 Exploring Operation: 71-15=56, Resulting Numbers: [69, 6, 56] Generated Node #0,3: 42:[69, 6, 56] Operation: 71-15=56 Exploring Operation: 69-6=63, Resulting Numbers: [71, 15, 63] Generated Node #0,4: 42:[71, 15, 63] Operation: 69-6=63 Moving to Node #0,1 Current State: 42:[15, 6, 2], Operations: ['71-69=2'] Exploring Operation: 6+2=8, Resulting Numbers: [15, 8] Generated Node #0,1,0: 42:[15, 8] Operation: 6+2=8 Exploring Operation: 15+6=21, Resulting Numbers: [2, 21] Generated Node #0,1,1: 42:[2, 21] Operation: 15+6=21 Exploring Operation: 15-2=13, Resulting Numbers: [6, 13] Generated Node #0,1,2: 42:[6, 13] Operation: 15-2=13 Exploring Operation: 6/2=3, Resulting Numbers: [15, 3] Generated Node #0,1,3: 42:[15, 3] Operation: 6/2=3 Exploring Operation: 15-6=9, Resulting Numbers: [2, 9] Generated Node #0,1,4: 42:[2, 9] Operation: 15-6=9 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 42:[2, 21], Operations: ['71-69=2', '15+6=21'] Exploring Operation: 2+21=23, Resulting Numbers: [23] 23,42 unequal: No Solution Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[69, 71, 15, 6], Operations: [] Exploring Operation: 71-69=2, Resulting Numbers: [15, 6, 2] Generated Node #0,1: 42:[15, 6, 2] Operation: 71-69=2 Moving to Node #0,1 Current State: 42:[15, 6, 2], Operations: ['71-69=2'] Exploring Operation: 15+6=21, Resulting Numbers: [2, 21] Generated Node #0,1,1: 42:[2, 21] Operation: 15+6=21 Moving to Node #0,1,1 Current State: 42:[2, 21], Operations: ['71-69=2', '15+6=21'] Exploring Operation: 2*21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 58, 34, 8, 2 ]
82
[ "58+34=92", "8+2=10", "92-10=82" ]
Current State: 82:[58, 34, 8, 2], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [8, 2, 92] Generated Node #2: [8, 2, 92] from Operation: 58+34=92 Current State: 82:[8, 2, 92], Operations: ['58+34=92'] Exploring Operation: 8+2=10, Resulting Numbers: [92, 10] Generated Node #3: [92, 10] from Operation: 8+2=10 Current State: 82:[92, 10], Operations: ['58+34=92', '8+2=10'] Exploring Operation: 92-10=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[58, 34, 8, 2], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [8, 2, 92] Generated Node #0,0: 82:[8, 2, 92] Operation: 58+34=92 Moving to Node #0,0 Current State: 82:[8, 2, 92], Operations: ['58+34=92'] Exploring Operation: 92-8=84, Resulting Numbers: [2, 84] Generated Node #0,0,0: 82:[2, 84] Operation: 92-8=84 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 82:[2, 84], Operations: ['58+34=92', '92-8=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[58, 34, 8, 2], Operations: [] Exploring Operation: 58+34=92, Resulting Numbers: [8, 2, 92] Generated Node #0,0: 82:[8, 2, 92] Operation: 58+34=92 Moving to Node #0,0 Current State: 82:[8, 2, 92], Operations: ['58+34=92'] Exploring Operation: 92-8=84, Resulting Numbers: [2, 84] Generated Node #0,0,0: 82:[2, 84] Operation: 92-8=84 Moving to Node #0,0,0 Current State: 82:[2, 84], Operations: ['58+34=92', '92-8=84'] Exploring Operation: 84-2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 67, 44, 24, 25 ]
77
[ "67-25=42", "44*42=1848", "1848/24=77" ]
Current State: 77:[67, 44, 24, 25], Operations: [] Exploring Operation: 67-25=42, Resulting Numbers: [44, 24, 42] Generated Node #2: [44, 24, 42] from Operation: 67-25=42 Current State: 77:[44, 24, 42], Operations: ['67-25=42'] Exploring Operation: 44*42=1848, Resulting Numbers: [24, 1848] Generated Node #3: [24, 1848] from Operation: 44*42=1848 Current State: 77:[24, 1848], Operations: ['67-25=42', '44*42=1848'] Exploring Operation: 1848/24=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[67, 44, 24, 25], Operations: [] Exploring Operation: 44+25=69, Resulting Numbers: [67, 24, 69] Generated Node #0,0: 77:[67, 24, 69] Operation: 44+25=69 Exploring Operation: 44+24=68, Resulting Numbers: [67, 25, 68] Generated Node #0,1: 77:[67, 25, 68] Operation: 44+24=68 Exploring Operation: 44-25=19, Resulting Numbers: [67, 24, 19] Generated Node #0,2: 77:[67, 24, 19] Operation: 44-25=19 Moving to Node #0,0 Current State: 77:[67, 24, 69], Operations: ['44+25=69'] Exploring Operation: 24+69=93, Resulting Numbers: [67, 93] Generated Node #0,0,0: 77:[67, 93] Operation: 24+69=93 Exploring Operation: 67+24=91, Resulting Numbers: [69, 91] Generated Node #0,0,1: 77:[69, 91] Operation: 67+24=91 Exploring Operation: 69-67=2, Resulting Numbers: [24, 2] Generated Node #0,0,2: 77:[24, 2] Operation: 69-67=2 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 77:[24, 2], Operations: ['44+25=69', '69-67=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,77 unequal: No Solution Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,77 unequal: No Solution Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,77 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 #0,0,1 Current State: 77:[69, 91], Operations: ['44+25=69', '67+24=91'] Exploring Operation: 69+91=160, Resulting Numbers: [160] 160,77 unequal: No Solution Exploring Operation: 91-69=22, Resulting Numbers: [22] 22,77 unequal: No Solution Exploring Operation: 69*91=6279, Resulting Numbers: [6279] 6279,77 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 #0,0,0 Current State: 77:[67, 93], Operations: ['44+25=69', '24+69=93'] Exploring Operation: 67+93=160, Resulting Numbers: [160] 160,77 unequal: No Solution Exploring Operation: 93-67=26, Resulting Numbers: [26] 26,77 unequal: No Solution Exploring Operation: 67*93=6231, Resulting Numbers: [6231] 6231,77 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: 77:[67, 24, 19], Operations: ['44-25=19'] Exploring Operation: 24-19=5, Resulting Numbers: [67, 5] Generated Node #0,2,0: 77:[67, 5] Operation: 24-19=5 Exploring Operation: 67+24=91, Resulting Numbers: [19, 91] Generated Node #0,2,1: 77:[19, 91] Operation: 67+24=91 Exploring Operation: 67+19=86, Resulting Numbers: [24, 86] Generated Node #0,2,2: 77:[24, 86] Operation: 67+19=86 Moving to Node #0,1 Current State: 77:[67, 25, 68], Operations: ['44+24=68'] Exploring Operation: 68-67=1, Resulting Numbers: [25, 1] Generated Node #0,1,0: 77:[25, 1] Operation: 68-67=1 Exploring Operation: 25+68=93, Resulting Numbers: [67, 93] Generated Node #0,1,1: 77:[67, 93] Operation: 25+68=93 Exploring Operation: 67+25=92, Resulting Numbers: [68, 92] Generated Node #0,1,2: 77:[68, 92] Operation: 67+25=92 Moving to Node #0,2,0 Current State: 77:[67, 5], Operations: ['44-25=19', '24-19=5'] Exploring Operation: 67*5=335, Resulting Numbers: [335] 335,77 unequal: No Solution Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,77 unequal: No Solution Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,77 unequal: No Solution Moving to Node #0,1,0 Current State: 77:[25, 1], Operations: ['44+24=68', '68-67=1'] Exploring Operation: 25*1=25, Resulting Numbers: [25] 25,77 unequal: No Solution Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,77 unequal: No Solution Exploring Operation: 25/1=25, Resulting Numbers: [25] 25,77 unequal: No Solution Moving to Node #0,2,2 Current State: 77:[24, 86], Operations: ['44-25=19', '67+19=86'] Exploring Operation: 24*86=2064, Resulting Numbers: [2064] 2064,77 unequal: No Solution Exploring Operation: 24+86=110, Resulting Numbers: [110] 110,77 unequal: No Solution Exploring Operation: 86-24=62, Resulting Numbers: [62] 62,77 unequal: No Solution Moving to Node #0,2,1 Current State: 77:[19, 91], Operations: ['44-25=19', '67+24=91'] Exploring Operation: 19+91=110, Resulting Numbers: [110] 110,77 unequal: No Solution Exploring Operation: 19*91=1729, Resulting Numbers: [1729] 1729,77 unequal: No Solution Exploring Operation: 91-19=72, Resulting Numbers: [72] 72,77 unequal: No Solution Moving to Node #0,1,2 Current State: 77:[68, 92], Operations: ['44+24=68', '67+25=92'] Exploring Operation: 92-68=24, Resulting Numbers: [24] 24,77 unequal: No Solution Exploring Operation: 68*92=6256, Resulting Numbers: [6256] 6256,77 unequal: No Solution Exploring Operation: 68+92=160, Resulting Numbers: [160] 160,77 unequal: No Solution Moving to Node #0,1,1 Current State: 77:[67, 93], Operations: ['44+24=68', '25+68=93'] Exploring Operation: 93-67=26, Resulting Numbers: [26] 26,77 unequal: No Solution Exploring Operation: 67+93=160, Resulting Numbers: [160] 160,77 unequal: No Solution Exploring Operation: 67*93=6231, Resulting Numbers: [6231] 6231,77 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 89, 12, 16, 25 ]
60
[ "89+12=101", "16+25=41", "101-41=60" ]
Current State: 60:[89, 12, 16, 25], Operations: [] Exploring Operation: 89+12=101, Resulting Numbers: [16, 25, 101] Generated Node #2: [16, 25, 101] from Operation: 89+12=101 Current State: 60:[16, 25, 101], Operations: ['89+12=101'] Exploring Operation: 16+25=41, Resulting Numbers: [101, 41] Generated Node #3: [101, 41] from Operation: 16+25=41 Current State: 60:[101, 41], Operations: ['89+12=101', '16+25=41'] Exploring Operation: 101-41=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[89, 12, 16, 25], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [12, 16, 64] Generated Node #0,0: 60:[12, 16, 64] Operation: 89-25=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[12, 16, 64], Operations: ['89-25=64'] Exploring Operation: 64/16=4, Resulting Numbers: [12, 4] Generated Node #0,0,0: 60:[12, 4] Operation: 64/16=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 60:[12, 4], Operations: ['89-25=64', '64/16=4'] Exploring Operation: 12/4=3, Resulting Numbers: [3] 3,60 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
[ 31, 99, 62, 88 ]
94
[ "99-31=68", "88-62=26", "68+26=94" ]
Current State: 94:[31, 99, 62, 88], Operations: [] Exploring Operation: 99-31=68, Resulting Numbers: [62, 88, 68] Generated Node #2: [62, 88, 68] from Operation: 99-31=68 Current State: 94:[62, 88, 68], Operations: ['99-31=68'] Exploring Operation: 88-62=26, Resulting Numbers: [68, 26] Generated Node #3: [68, 26] from Operation: 88-62=26 Current State: 94:[68, 26], Operations: ['99-31=68', '88-62=26'] Exploring Operation: 68+26=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[31, 99, 62, 88], Operations: [] Exploring Operation: 62/31=2, Resulting Numbers: [99, 88, 2] Generated Node #0,0: 94:[99, 88, 2] Operation: 62/31=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[99, 88, 2], Operations: ['62/31=2'] Exploring Operation: 88/2=44, Resulting Numbers: [99, 44] Generated Node #0,0,0: 94:[99, 44] Operation: 88/2=44 Moving to Node #0,0,0 Current State: 94:[99, 44], Operations: ['62/31=2', '88/2=44'] Exploring Operation: 99-44=55, Resulting Numbers: [55] 55,94 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
[ 26, 38, 88, 38 ]
41
[ "26+88=114", "114/38=3", "38+3=41" ]
Current State: 41:[26, 38, 88, 38], Operations: [] Exploring Operation: 26+88=114, Resulting Numbers: [38, 38, 114] Generated Node #2: [38, 38, 114] from Operation: 26+88=114 Current State: 41:[38, 38, 114], Operations: ['26+88=114'] Exploring Operation: 114/38=3, Resulting Numbers: [3] 3,41 equal: Goal Reached Exploring Operation: 38+3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[26, 38, 88, 38], Operations: [] Exploring Operation: 88-38=50, Resulting Numbers: [26, 38, 50] Generated Node #0,0: 41:[26, 38, 50] Operation: 88-38=50 Exploring Operation: 88-38=50, Resulting Numbers: [26, 38, 50] Generated Node #0,1: 41:[26, 38, 50] Operation: 88-38=50 Exploring Operation: 88-26=62, Resulting Numbers: [38, 38, 62] Generated Node #0,2: 41:[38, 38, 62] Operation: 88-26=62 Moving to Node #0,0 Current State: 41:[26, 38, 50], Operations: ['88-38=50'] Exploring Operation: 38-26=12, Resulting Numbers: [50, 12] Generated Node #0,0,0: 41:[50, 12] Operation: 38-26=12 Exploring Operation: 26+38=64, Resulting Numbers: [50, 64] Generated Node #0,0,1: 41:[50, 64] Operation: 26+38=64 Exploring Operation: 50-26=24, Resulting Numbers: [38, 24] Generated Node #0,0,2: 41:[38, 24] Operation: 50-26=24 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 41:[38, 24], Operations: ['88-38=50', '50-26=24'] Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 38*24=912, Resulting Numbers: [912] 912,41 unequal: No Solution Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,41 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 #0,0,1 Current State: 41:[50, 64], Operations: ['88-38=50', '26+38=64'] Exploring Operation: 64-50=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 50*64=3200, Resulting Numbers: [3200] 3200,41 unequal: No Solution Exploring Operation: 50+64=114, Resulting Numbers: [114] 114,41 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 #0,0,0 Current State: 41:[50, 12], Operations: ['88-38=50', '38-26=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,41 unequal: No Solution Exploring Operation: 50*12=600, Resulting Numbers: [600] 600,41 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: 41:[26, 38, 50], Operations: ['88-38=50'] Exploring Operation: 50-26=24, Resulting Numbers: [38, 24] Generated Node #0,1,0: 41:[38, 24] Operation: 50-26=24 Exploring Operation: 26+38=64, Resulting Numbers: [50, 64] Generated Node #0,1,1: 41:[50, 64] Operation: 26+38=64 Exploring Operation: 38-26=12, Resulting Numbers: [50, 12] Generated Node #0,1,2: 41:[50, 12] Operation: 38-26=12 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 41:[38, 24], Operations: ['88-38=50', '50-26=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,41 unequal: No Solution Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 38*24=912, Resulting Numbers: [912] 912,41 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 #0,1,1 Current State: 41:[50, 64], Operations: ['88-38=50', '26+38=64'] Exploring Operation: 64-50=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 50+64=114, Resulting Numbers: [114] 114,41 unequal: No Solution Exploring Operation: 50*64=3200, Resulting Numbers: [3200] 3200,41 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 #0,1,2 Current State: 41:[50, 12], Operations: ['88-38=50', '38-26=12'] Exploring Operation: 50-12=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 50*12=600, Resulting Numbers: [600] 600,41 unequal: No Solution Exploring Operation: 50+12=62, Resulting Numbers: [62] 62,41 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: 41:[38, 38, 62], Operations: ['88-26=62'] Exploring Operation: 62-38=24, Resulting Numbers: [38, 24] Generated Node #0,2,0: 41:[38, 24] Operation: 62-38=24 Exploring Operation: 38+38=76, Resulting Numbers: [62, 76] Generated Node #0,2,1: 41:[62, 76] Operation: 38+38=76 Exploring Operation: 62-38=24, Resulting Numbers: [38, 24] Generated Node #0,2,2: 41:[38, 24] Operation: 62-38=24 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 41:[38, 24], Operations: ['88-26=62', '62-38=24'] Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,41 unequal: No Solution Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,41 unequal: No Solution Exploring Operation: 38*24=912, Resulting Numbers: [912] 912,41 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 #0,2,2 Current State: 41:[38, 24], Operations: ['88-26=62', '62-38=24'] Exploring Operation: 38*24=912, Resulting Numbers: [912] 912,41 unequal: No Solution Exploring Operation: 38+24=62, Resulting Numbers: [62] 62,41 unequal: No Solution Exploring Operation: 38-24=14, Resulting Numbers: [14] 14,41 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 #0,2,1 Current State: 41:[62, 76], Operations: ['88-26=62', '38+38=76'] Exploring Operation: 62*76=4712, Resulting Numbers: [4712] 4712,41 unequal: No Solution Exploring Operation: 62+76=138, Resulting Numbers: [138] 138,41 unequal: No Solution Exploring Operation: 76-62=14, Resulting Numbers: [14] 14,41 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
[ 82, 3, 38, 60 ]
92
[ "82-60=22", "3*38=114", "114-22=92" ]
Current State: 92:[82, 3, 38, 60], Operations: [] Exploring Operation: 82-60=22, Resulting Numbers: [3, 38, 22] Generated Node #2: [3, 38, 22] from Operation: 82-60=22 Current State: 92:[3, 38, 22], Operations: ['82-60=22'] Exploring Operation: 3*38=114, Resulting Numbers: [22, 114] Generated Node #3: [22, 114] from Operation: 3*38=114 Current State: 92:[22, 114], Operations: ['82-60=22', '3*38=114'] Exploring Operation: 114-22=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[82, 3, 38, 60], Operations: [] Exploring Operation: 60-38=22, Resulting Numbers: [82, 3, 22] Generated Node #0,0: 92:[82, 3, 22] Operation: 60-38=22 Exploring Operation: 82-60=22, Resulting Numbers: [3, 38, 22] Generated Node #0,1: 92:[3, 38, 22] Operation: 82-60=22 Moving to Node #0,1 Current State: 92:[3, 38, 22], Operations: ['82-60=22'] Exploring Operation: 38-22=16, Resulting Numbers: [3, 16] Generated Node #0,1,0: 92:[3, 16] Operation: 38-22=16 Exploring Operation: 3+38=41, Resulting Numbers: [22, 41] Generated Node #0,1,1: 92:[22, 41] Operation: 3+38=41 Moving to Node #0,0 Current State: 92:[82, 3, 22], Operations: ['60-38=22'] Exploring Operation: 82+3=85, Resulting Numbers: [22, 85] Generated Node #0,0,0: 92:[22, 85] Operation: 82+3=85 Exploring Operation: 3+22=25, Resulting Numbers: [82, 25] Generated Node #0,0,1: 92:[82, 25] Operation: 3+22=25 Moving to Node #0,1,1 Current State: 92:[22, 41], Operations: ['82-60=22', '3+38=41'] Exploring Operation: 41-22=19, Resulting Numbers: [19] 19,92 unequal: No Solution Exploring Operation: 22+41=63, Resulting Numbers: [63] 63,92 unequal: No Solution Moving to Node #0,0,0 Current State: 92:[22, 85], Operations: ['60-38=22', '82+3=85'] Exploring Operation: 85-22=63, Resulting Numbers: [63] 63,92 unequal: No Solution Exploring Operation: 22+85=107, Resulting Numbers: [107] 107,92 unequal: No Solution Moving to Node #0,1,0 Current State: 92:[3, 16], Operations: ['82-60=22', '38-22=16'] Exploring Operation: 3+16=19, Resulting Numbers: [19] 19,92 unequal: No Solution Exploring Operation: 3*16=48, Resulting Numbers: [48] 48,92 unequal: No Solution Moving to Node #0,0,1 Current State: 92:[82, 25], Operations: ['60-38=22', '3+22=25'] Exploring Operation: 82+25=107, Resulting Numbers: [107] 107,92 unequal: No Solution Exploring Operation: 82-25=57, Resulting Numbers: [57] 57,92 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 33, 27, 70, 30 ]
100
[ "33+27=60", "70-30=40", "60+40=100" ]
Current State: 100:[33, 27, 70, 30], Operations: [] Exploring Operation: 33+27=60, Resulting Numbers: [70, 30, 60] Generated Node #2: [70, 30, 60] from Operation: 33+27=60 Current State: 100:[70, 30, 60], Operations: ['33+27=60'] Exploring Operation: 70-30=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 70-30=40 Current State: 100:[60, 40], Operations: ['33+27=60', '70-30=40'] Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[33, 27, 70, 30], Operations: [] Exploring Operation: 27+70=97, Resulting Numbers: [33, 30, 97] Generated Node #0,0: 100:[33, 30, 97] Operation: 27+70=97 Exploring Operation: 70+30=100, Resulting Numbers: [33, 27, 100] Generated Node #0,1: 100:[33, 27, 100] Operation: 70+30=100 Exploring Operation: 70-33=37, Resulting Numbers: [27, 30, 37] Generated Node #0,2: 100:[27, 30, 37] Operation: 70-33=37 Exploring Operation: 33+70=103, Resulting Numbers: [27, 30, 103] Generated Node #0,3: 100:[27, 30, 103] Operation: 33+70=103 Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[33, 27, 100], Operations: ['70+30=100'] Exploring Operation: 33+27=60, Resulting Numbers: [100, 60] Generated Node #0,1,0: 100:[100, 60] Operation: 33+27=60 Exploring Operation: 33-27=6, Resulting Numbers: [100, 6] Generated Node #0,1,1: 100:[100, 6] Operation: 33-27=6 Exploring Operation: 100-27=73, Resulting Numbers: [33, 73] Generated Node #0,1,2: 100:[33, 73] Operation: 100-27=73 Exploring Operation: 100-33=67, Resulting Numbers: [27, 67] Generated Node #0,1,3: 100:[27, 67] Operation: 100-33=67 Moving to Node #0,1,1 Current State: 100:[100, 6], Operations: ['70+30=100', '33-27=6'] Exploring Operation: 100*6=600, Resulting Numbers: [600] 600,100 unequal: No Solution Exploring Operation: 100+6=106, Resulting Numbers: [106] 106,100 unequal: No Solution Exploring Operation: 100-6=94, Resulting Numbers: [94] 94,100 unequal: No Solution Moving to Node #0,1,0 Current State: 100:[100, 60], Operations: ['70+30=100', '33+27=60'] Exploring Operation: 100+60=160, Resulting Numbers: [160] 160,100 unequal: No Solution Exploring Operation: 100-60=40, Resulting Numbers: [40] 40,100 unequal: No Solution Exploring Operation: 100*60=6000, Resulting Numbers: [6000] 6000,100 unequal: No Solution Moving to Node #0,1,3 Current State: 100:[27, 67], Operations: ['70+30=100', '100-33=67'] Exploring Operation: 27+67=94, Resulting Numbers: [94] 94,100 unequal: No Solution Exploring Operation: 67-27=40, Resulting Numbers: [40] 40,100 unequal: No Solution Exploring Operation: 27*67=1809, Resulting Numbers: [1809] 1809,100 unequal: No Solution Moving to Node #0,1,2 Current State: 100:[33, 73], Operations: ['70+30=100', '100-27=73'] Exploring Operation: 33*73=2409, Resulting Numbers: [2409] 2409,100 unequal: No Solution Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,100 unequal: No Solution Exploring Operation: 33+73=106, Resulting Numbers: [106] 106,100 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 #0,3 Current State: 100:[27, 30, 103], Operations: ['33+70=103'] Exploring Operation: 30-27=3, Resulting Numbers: [103, 3] Generated Node #0,3,0: 100:[103, 3] Operation: 30-27=3 Exploring Operation: 27+30=57, Resulting Numbers: [103, 57] Generated Node #0,3,1: 100:[103, 57] Operation: 27+30=57 Exploring Operation: 103-27=76, Resulting Numbers: [30, 76] Generated Node #0,3,2: 100:[30, 76] Operation: 103-27=76 Exploring Operation: 103-30=73, Resulting Numbers: [27, 73] Generated Node #0,3,3: 100:[27, 73] Operation: 103-30=73 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 100:[103, 3], Operations: ['33+70=103', '30-27=3'] Exploring Operation: 103*3=309, Resulting Numbers: [309] 309,100 unequal: No Solution Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[33, 27, 70, 30], Operations: [] Exploring Operation: 33+70=103, Resulting Numbers: [27, 30, 103] Generated Node #0,3: 100:[27, 30, 103] Operation: 33+70=103 Moving to Node #0,3 Current State: 100:[27, 30, 103], Operations: ['33+70=103'] Exploring Operation: 30-27=3, Resulting Numbers: [103, 3] Generated Node #0,3,0: 100:[103, 3] Operation: 30-27=3 Moving to Node #0,3,0 Current State: 100:[103, 3], Operations: ['33+70=103', '30-27=3'] Exploring Operation: 103-3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.973958
hs_4
mult_heuristic
[ 33, 7, 17, 60 ]
39
[ "17-7=10", "60/10=6", "33+6=39" ]
Current State: 39:[33, 7, 17, 60], Operations: [] Exploring Operation: 17-7=10, Resulting Numbers: [33, 60, 10] Generated Node #2: [33, 60, 10] from Operation: 17-7=10 Current State: 39:[33, 60, 10], Operations: ['17-7=10'] Exploring Operation: 60/10=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 60/10=6 Current State: 39:[33, 6], Operations: ['17-7=10', '60/10=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[33, 7, 17, 60], Operations: [] Exploring Operation: 60-33=27, Resulting Numbers: [7, 17, 27] Generated Node #0,0: 39:[7, 17, 27] Operation: 60-33=27 Exploring Operation: 60-17=43, Resulting Numbers: [33, 7, 43] Generated Node #0,1: 39:[33, 7, 43] Operation: 60-17=43 Moving to Node #0,1 Current State: 39:[33, 7, 43], Operations: ['60-17=43'] Exploring Operation: 33+7=40, Resulting Numbers: [43, 40] Generated Node #0,1,0: 39:[43, 40] Operation: 33+7=40 Exploring Operation: 43-33=10, Resulting Numbers: [7, 10] Generated Node #0,1,1: 39:[7, 10] Operation: 43-33=10 Moving to Node #0,0 Current State: 39:[7, 17, 27], Operations: ['60-33=27'] Exploring Operation: 7+27=34, Resulting Numbers: [17, 34] Generated Node #0,0,0: 39:[17, 34] Operation: 7+27=34 Exploring Operation: 27-17=10, Resulting Numbers: [7, 10] Generated Node #0,0,1: 39:[7, 10] Operation: 27-17=10 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 39:[7, 10], Operations: ['60-33=27', '27-17=10'] Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,39 unequal: No Solution Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,39 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 #0,0,0 Current State: 39:[17, 34], Operations: ['60-33=27', '7+27=34'] Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 34/17=2, Resulting Numbers: [2] 2,39 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: 39:[43, 40], Operations: ['60-17=43', '33+7=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[7, 10], Operations: ['60-17=43', '43-33=10'] Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,39 unequal: No Solution Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,39 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 35, 27, 70, 46 ]
100
[ "70/35=2", "27*2=54", "46+54=100" ]
Current State: 100:[35, 27, 70, 46], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [27, 46, 2] Generated Node #2: [27, 46, 2] from Operation: 70/35=2 Current State: 100:[27, 46, 2], Operations: ['70/35=2'] Exploring Operation: 27*2=54, Resulting Numbers: [46, 54] Generated Node #3: [46, 54] from Operation: 27*2=54 Current State: 100:[46, 54], Operations: ['70/35=2', '27*2=54'] Exploring Operation: 46+54=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[35, 27, 70, 46], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [27, 46, 2] Generated Node #0,0: 100:[27, 46, 2] Operation: 70/35=2 Moving to Node #0,0 Current State: 100:[27, 46, 2], Operations: ['70/35=2'] Exploring Operation: 46-27=19, Resulting Numbers: [2, 19] Generated Node #0,0,0: 100:[2, 19] Operation: 46-27=19 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 100:[2, 19], Operations: ['70/35=2', '46-27=19'] Exploring Operation: 2+19=21, Resulting Numbers: [21] 21,100 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
[ 23, 41, 29, 32 ]
21
[ "41-23=18", "32-29=3", "18+3=21" ]
Current State: 21:[23, 41, 29, 32], Operations: [] Exploring Operation: 41-23=18, Resulting Numbers: [29, 32, 18] Generated Node #2: [29, 32, 18] from Operation: 41-23=18 Current State: 21:[29, 32, 18], Operations: ['41-23=18'] Exploring Operation: 32-29=3, Resulting Numbers: [18, 3] Generated Node #3: [18, 3] from Operation: 32-29=3 Current State: 21:[18, 3], Operations: ['41-23=18', '32-29=3'] Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[23, 41, 29, 32], Operations: [] Exploring Operation: 41-29=12, Resulting Numbers: [23, 32, 12] Generated Node #0,0: 21:[23, 32, 12] Operation: 41-29=12 Exploring Operation: 41-23=18, Resulting Numbers: [29, 32, 18] Generated Node #0,1: 21:[29, 32, 18] Operation: 41-23=18 Exploring Operation: 41-32=9, Resulting Numbers: [23, 29, 9] Generated Node #0,2: 21:[23, 29, 9] Operation: 41-32=9 Start Sub Search at level 1: Moving to Node #0,2 Current State: 21:[23, 29, 9], Operations: ['41-32=9'] Exploring Operation: 23-9=14, Resulting Numbers: [29, 14] Generated Node #0,2,0: 21:[29, 14] Operation: 23-9=14 Exploring Operation: 29-23=6, Resulting Numbers: [9, 6] Generated Node #0,2,1: 21:[9, 6] Operation: 29-23=6 Exploring Operation: 29-9=20, Resulting Numbers: [23, 20] Generated Node #0,2,2: 21:[23, 20] Operation: 29-9=20 Moving to Node #0,2,1 Current State: 21:[9, 6], Operations: ['41-32=9', '29-23=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,21 unequal: No Solution Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,21 unequal: No Solution Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,21 unequal: No Solution Moving to Node #0,2,2 Current State: 21:[23, 20], Operations: ['41-32=9', '29-9=20'] Exploring Operation: 23*20=460, Resulting Numbers: [460] 460,21 unequal: No Solution Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,21 unequal: No Solution Exploring Operation: 23-20=3, Resulting Numbers: [3] 3,21 unequal: No Solution Moving to Node #0,2,0 Current State: 21:[29, 14], Operations: ['41-32=9', '23-9=14'] Exploring Operation: 29+14=43, Resulting Numbers: [43] 43,21 unequal: No Solution Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,21 unequal: No Solution Exploring Operation: 29*14=406, Resulting Numbers: [406] 406,21 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: 21:[23, 32, 12], Operations: ['41-29=12'] Exploring Operation: 23-12=11, Resulting Numbers: [32, 11] Generated Node #0,0,0: 21:[32, 11] Operation: 23-12=11 Exploring Operation: 32-12=20, Resulting Numbers: [23, 20] Generated Node #0,0,1: 21:[23, 20] Operation: 32-12=20 Exploring Operation: 32-23=9, Resulting Numbers: [12, 9] Generated Node #0,0,2: 21:[12, 9] Operation: 32-23=9 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 21:[23, 20], Operations: ['41-29=12', '32-12=20'] Exploring Operation: 23*20=460, Resulting Numbers: [460] 460,21 unequal: No Solution Exploring Operation: 23+20=43, Resulting Numbers: [43] 43,21 unequal: No Solution Exploring Operation: 23-20=3, Resulting Numbers: [3] 3,21 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: 21:[12, 9], Operations: ['41-29=12', '32-23=9'] Exploring Operation: 12-9=3, Resulting Numbers: [3] 3,21 unequal: No Solution Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[23, 41, 29, 32], Operations: [] Exploring Operation: 41-29=12, Resulting Numbers: [23, 32, 12] Generated Node #0,0: 21:[23, 32, 12] Operation: 41-29=12 Moving to Node #0,0 Current State: 21:[23, 32, 12], Operations: ['41-29=12'] Exploring Operation: 32-23=9, Resulting Numbers: [12, 9] Generated Node #0,0,2: 21:[12, 9] Operation: 32-23=9 Moving to Node #0,0,2 Current State: 21:[12, 9], Operations: ['41-29=12', '32-23=9'] Exploring Operation: 12+9=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.976563
hs_3
mult_heuristic
[ 75, 13, 6, 33 ]
61
[ "75+13=88", "33-6=27", "88-27=61" ]
Current State: 61:[75, 13, 6, 33], Operations: [] Exploring Operation: 75+13=88, Resulting Numbers: [6, 33, 88] Generated Node #2: [6, 33, 88] from Operation: 75+13=88 Current State: 61:[6, 33, 88], Operations: ['75+13=88'] Exploring Operation: 33-6=27, Resulting Numbers: [88, 27] Generated Node #3: [88, 27] from Operation: 33-6=27 Current State: 61:[88, 27], Operations: ['75+13=88', '33-6=27'] Exploring Operation: 88-27=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[75, 13, 6, 33], Operations: [] Exploring Operation: 75-13=62, Resulting Numbers: [6, 33, 62] Generated Node #0,0: 61:[6, 33, 62] Operation: 75-13=62 Exploring Operation: 13*6=78, Resulting Numbers: [75, 33, 78] Generated Node #0,1: 61:[75, 33, 78] Operation: 13*6=78 Start Sub Search at level 1: Moving to Node #0,1 Current State: 61:[75, 33, 78], Operations: ['13*6=78'] Exploring Operation: 78-33=45, Resulting Numbers: [75, 45] Generated Node #0,1,0: 61:[75, 45] Operation: 78-33=45 Exploring Operation: 75-33=42, Resulting Numbers: [78, 42] Generated Node #0,1,1: 61:[78, 42] Operation: 75-33=42 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 61:[75, 45], Operations: ['13*6=78', '78-33=45'] Exploring Operation: 75+45=120, Resulting Numbers: [120] 120,61 unequal: No Solution Exploring Operation: 75-45=30, Resulting Numbers: [30] 30,61 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: 61:[78, 42], Operations: ['13*6=78', '75-33=42'] Exploring Operation: 78-42=36, Resulting Numbers: [36] 36,61 unequal: No Solution Exploring Operation: 78+42=120, Resulting Numbers: [120] 120,61 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: 61:[6, 33, 62], Operations: ['75-13=62'] Exploring Operation: 62-6=56, Resulting Numbers: [33, 56] Generated Node #0,0,0: 61:[33, 56] Operation: 62-6=56 Exploring Operation: 6+33=39, Resulting Numbers: [62, 39] Generated Node #0,0,1: 61:[62, 39] Operation: 6+33=39 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 61:[62, 39], Operations: ['75-13=62', '6+33=39'] Exploring Operation: 62-39=23, Resulting Numbers: [23] 23,61 unequal: No Solution Exploring Operation: 62+39=101, Resulting Numbers: [101] 101,61 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: 61:[33, 56], Operations: ['75-13=62', '62-6=56'] Exploring Operation: 56-33=23, Resulting Numbers: [23] 23,61 unequal: No Solution Exploring Operation: 33+56=89, Resulting Numbers: [89] 89,61 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, 69, 17, 60 ]
95
[ "69-60=9", "17*9=153", "153-58=95" ]
Current State: 95:[58, 69, 17, 60], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [58, 17, 9] Generated Node #2: [58, 17, 9] from Operation: 69-60=9 Current State: 95:[58, 17, 9], Operations: ['69-60=9'] Exploring Operation: 17*9=153, Resulting Numbers: [58, 153] Generated Node #3: [58, 153] from Operation: 17*9=153 Current State: 95:[58, 153], Operations: ['69-60=9', '17*9=153'] Exploring Operation: 153-58=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[58, 69, 17, 60], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [69, 17, 2] Generated Node #0,0: 95:[69, 17, 2] Operation: 60-58=2 Exploring Operation: 69-60=9, Resulting Numbers: [58, 17, 9] Generated Node #0,1: 95:[58, 17, 9] Operation: 69-60=9 Exploring Operation: 69-58=11, Resulting Numbers: [17, 60, 11] Generated Node #0,2: 95:[17, 60, 11] Operation: 69-58=11 Moving to Node #0,0 Current State: 95:[69, 17, 2], Operations: ['60-58=2'] Exploring Operation: 69+2=71, Resulting Numbers: [17, 71] Generated Node #0,0,0: 95:[17, 71] Operation: 69+2=71 Exploring Operation: 69+17=86, Resulting Numbers: [2, 86] Generated Node #0,0,1: 95:[2, 86] Operation: 69+17=86 Exploring Operation: 17+2=19, Resulting Numbers: [69, 19] Generated Node #0,0,2: 95:[69, 19] Operation: 17+2=19 Moving to Node #0,1 Current State: 95:[58, 17, 9], Operations: ['69-60=9'] Exploring Operation: 58+9=67, Resulting Numbers: [17, 67] Generated Node #0,1,0: 95:[17, 67] Operation: 58+9=67 Exploring Operation: 58-17=41, Resulting Numbers: [9, 41] Generated Node #0,1,1: 95:[9, 41] Operation: 58-17=41 Exploring Operation: 58+17=75, Resulting Numbers: [9, 75] Generated Node #0,1,2: 95:[9, 75] Operation: 58+17=75 Moving to Node #0,2 Current State: 95:[17, 60, 11], Operations: ['69-58=11'] Exploring Operation: 17+60=77, Resulting Numbers: [11, 77] Generated Node #0,2,0: 95:[11, 77] Operation: 17+60=77 Exploring Operation: 60+11=71, Resulting Numbers: [17, 71] Generated Node #0,2,1: 95:[17, 71] Operation: 60+11=71 Exploring Operation: 60-17=43, Resulting Numbers: [11, 43] Generated Node #0,2,2: 95:[11, 43] Operation: 60-17=43 Moving to Node #0,0,1 Current State: 95:[2, 86], Operations: ['60-58=2', '69+17=86'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,95 unequal: No Solution Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,95 unequal: No Solution Exploring Operation: 2+86=88, Resulting Numbers: [88] 88,95 unequal: No Solution Moving to Node #0,2,0 Current State: 95:[11, 77], Operations: ['69-58=11', '17+60=77'] Exploring Operation: 11+77=88, Resulting Numbers: [88] 88,95 unequal: No Solution Exploring Operation: 77-11=66, Resulting Numbers: [66] 66,95 unequal: No Solution Exploring Operation: 77/11=7, Resulting Numbers: [7] 7,95 unequal: No Solution Moving to Node #0,1,2 Current State: 95:[9, 75], Operations: ['69-60=9', '58+17=75'] Exploring Operation: 75-9=66, Resulting Numbers: [66] 66,95 unequal: No Solution Exploring Operation: 9+75=84, Resulting Numbers: [84] 84,95 unequal: No Solution Exploring Operation: 9*75=675, Resulting Numbers: [675] 675,95 unequal: No Solution Moving to Node #0,0,2 Current State: 95:[69, 19], Operations: ['60-58=2', '17+2=19'] Exploring Operation: 69*19=1311, Resulting Numbers: [1311] 1311,95 unequal: No Solution Exploring Operation: 69+19=88, Resulting Numbers: [88] 88,95 unequal: No Solution Exploring Operation: 69-19=50, Resulting Numbers: [50] 50,95 unequal: No Solution Moving to Node #0,1,1 Current State: 95:[9, 41], Operations: ['69-60=9', '58-17=41'] Exploring Operation: 9+41=50, Resulting Numbers: [50] 50,95 unequal: No Solution Exploring Operation: 9*41=369, Resulting Numbers: [369] 369,95 unequal: No Solution Exploring Operation: 41-9=32, Resulting Numbers: [32] 32,95 unequal: No Solution Moving to Node #0,2,1 Current State: 95:[17, 71], Operations: ['69-58=11', '60+11=71'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,95 unequal: No Solution Exploring Operation: 17*71=1207, Resulting Numbers: [1207] 1207,95 unequal: No Solution Exploring Operation: 17+71=88, Resulting Numbers: [88] 88,95 unequal: No Solution Moving to Node #0,0,0 Current State: 95:[17, 71], Operations: ['60-58=2', '69+2=71'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,95 unequal: No Solution Exploring Operation: 17+71=88, Resulting Numbers: [88] 88,95 unequal: No Solution Exploring Operation: 17*71=1207, Resulting Numbers: [1207] 1207,95 unequal: No Solution Moving to Node #0,2,2 Current State: 95:[11, 43], Operations: ['69-58=11', '60-17=43'] Exploring Operation: 43-11=32, Resulting Numbers: [32] 32,95 unequal: No Solution Exploring Operation: 11+43=54, Resulting Numbers: [54] 54,95 unequal: No Solution Exploring Operation: 11*43=473, Resulting Numbers: [473] 473,95 unequal: No Solution Moving to Node #0,1,0 Current State: 95:[17, 67], Operations: ['69-60=9', '58+9=67'] Exploring Operation: 17+67=84, Resulting Numbers: [84] 84,95 unequal: No Solution Exploring Operation: 17*67=1139, Resulting Numbers: [1139] 1139,95 unequal: No Solution Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,95 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 2, 6, 37, 51 ]
22
[ "2+6=8", "51-37=14", "8+14=22" ]
Current State: 22:[2, 6, 37, 51], Operations: [] Exploring Operation: 2+6=8, Resulting Numbers: [37, 51, 8] Generated Node #2: [37, 51, 8] from Operation: 2+6=8 Current State: 22:[37, 51, 8], Operations: ['2+6=8'] Exploring Operation: 51-37=14, Resulting Numbers: [8, 14] Generated Node #3: [8, 14] from Operation: 51-37=14 Current State: 22:[8, 14], Operations: ['2+6=8', '51-37=14'] Exploring Operation: 8+14=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[2, 6, 37, 51], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [37, 51, 12] Generated Node #0,0: 22:[37, 51, 12] Operation: 2*6=12 Exploring Operation: 37-6=31, Resulting Numbers: [2, 51, 31] Generated Node #0,1: 22:[2, 51, 31] Operation: 37-6=31 Exploring Operation: 51-6=45, Resulting Numbers: [2, 37, 45] Generated Node #0,2: 22:[2, 37, 45] Operation: 51-6=45 Exploring Operation: 51-37=14, Resulting Numbers: [2, 6, 14] Generated Node #0,3: 22:[2, 6, 14] Operation: 51-37=14 Start Sub Search at level 1: Moving to Node #0,3 Current State: 22:[2, 6, 14], Operations: ['51-37=14'] Exploring Operation: 6/2=3, Resulting Numbers: [14, 3] Generated Node #0,3,0: 22:[14, 3] Operation: 6/2=3 Exploring Operation: 14-6=8, Resulting Numbers: [2, 8] Generated Node #0,3,1: 22:[2, 8] Operation: 14-6=8 Exploring Operation: 6+14=20, Resulting Numbers: [2, 20] Generated Node #0,3,2: 22:[2, 20] Operation: 6+14=20 Exploring Operation: 2*6=12, Resulting Numbers: [14, 12] Generated Node #0,3,3: 22:[14, 12] Operation: 2*6=12 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 22:[2, 20], Operations: ['51-37=14', '6+14=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,22 unequal: No Solution Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[2, 6, 37, 51], Operations: [] Exploring Operation: 51-37=14, Resulting Numbers: [2, 6, 14] Generated Node #0,3: 22:[2, 6, 14] Operation: 51-37=14 Moving to Node #0,3 Current State: 22:[2, 6, 14], Operations: ['51-37=14'] Exploring Operation: 6+14=20, Resulting Numbers: [2, 20] Generated Node #0,3,2: 22:[2, 20] Operation: 6+14=20 Moving to Node #0,3,2 Current State: 22:[2, 20], Operations: ['51-37=14', '6+14=20'] Exploring Operation: 2+20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.987847
hs_4
sum_heuristic
[ 14, 4, 31, 87 ]
19
[ "31-14=17", "4*17=68", "87-68=19" ]
Current State: 19:[14, 4, 31, 87], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [4, 87, 17] Generated Node #2: [4, 87, 17] from Operation: 31-14=17 Current State: 19:[4, 87, 17], Operations: ['31-14=17'] Exploring Operation: 4*17=68, Resulting Numbers: [87, 68] Generated Node #3: [87, 68] from Operation: 4*17=68 Current State: 19:[87, 68], Operations: ['31-14=17', '4*17=68'] Exploring Operation: 87-68=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[14, 4, 31, 87], Operations: [] Exploring Operation: 14+4=18, Resulting Numbers: [31, 87, 18] Generated Node #0,0: 19:[31, 87, 18] Operation: 14+4=18 Exploring Operation: 87-31=56, Resulting Numbers: [14, 4, 56] Generated Node #0,1: 19:[14, 4, 56] Operation: 87-31=56 Moving to Node #0,1 Current State: 19:[14, 4, 56], Operations: ['87-31=56'] Exploring Operation: 56/14=4, Resulting Numbers: [4, 4] Generated Node #0,1,0: 19:[4, 4] Operation: 56/14=4 Exploring Operation: 56/4=14, Resulting Numbers: [14, 14] Generated Node #0,1,1: 19:[14, 14] Operation: 56/4=14 Moving to Node #0,0 Current State: 19:[31, 87, 18], Operations: ['14+4=18'] Exploring Operation: 87-18=69, Resulting Numbers: [31, 69] Generated Node #0,0,0: 19:[31, 69] Operation: 87-18=69 Exploring Operation: 87-31=56, Resulting Numbers: [18, 56] Generated Node #0,0,1: 19:[18, 56] Operation: 87-31=56 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 19:[18, 56], Operations: ['14+4=18', '87-31=56'] Exploring Operation: 18+56=74, Resulting Numbers: [74] 74,19 unequal: No Solution Exploring Operation: 56-18=38, Resulting Numbers: [38] 38,19 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 #0,0,0 Current State: 19:[31, 69], Operations: ['14+4=18', '87-18=69'] Exploring Operation: 69-31=38, Resulting Numbers: [38] 38,19 unequal: No Solution Exploring Operation: 31+69=100, Resulting Numbers: [100] 100,19 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 19:[14, 14], Operations: ['87-31=56', '56/4=14'] Exploring Operation: 14/14=1, Resulting Numbers: [1] 1,19 unequal: No Solution Exploring Operation: 14+14=28, Resulting Numbers: [28] 28,19 unequal: No Solution Moving to Node #0,1,0 Current State: 19:[4, 4], Operations: ['87-31=56', '56/14=4'] Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,19 unequal: No Solution Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,19 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 59, 4, 71, 48 ]
96
[ "71-59=12", "4*12=48", "48+48=96" ]
Current State: 96:[59, 4, 71, 48], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [4, 48, 12] Generated Node #2: [4, 48, 12] from Operation: 71-59=12 Current State: 96:[4, 48, 12], Operations: ['71-59=12'] Exploring Operation: 4*12=48, Resulting Numbers: [48, 48] Generated Node #3: [48, 48] from Operation: 4*12=48 Current State: 96:[48, 48], Operations: ['71-59=12', '4*12=48'] Exploring Operation: 48+48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[59, 4, 71, 48], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [4, 48, 12] Generated Node #0,0: 96:[4, 48, 12] Operation: 71-59=12 Exploring Operation: 71-48=23, Resulting Numbers: [59, 4, 23] Generated Node #0,1: 96:[59, 4, 23] Operation: 71-48=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[4, 48, 12], Operations: ['71-59=12'] Exploring Operation: 4+12=16, Resulting Numbers: [48, 16] Generated Node #0,0,0: 96:[48, 16] Operation: 4+12=16 Exploring Operation: 48/4=12, Resulting Numbers: [12, 12] Generated Node #0,0,1: 96:[12, 12] Operation: 48/4=12 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 96:[48, 16], Operations: ['71-59=12', '4+12=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,96 unequal: No Solution Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,96 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: 96:[12, 12], Operations: ['71-59=12', '48/4=12'] Exploring Operation: 12/12=1, Resulting Numbers: [1] 1,96 unequal: No Solution Exploring Operation: 12+12=24, Resulting Numbers: [24] 24,96 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 Start Sub Search at level 1: Moving to Node #0,1 Current State: 96:[59, 4, 23], Operations: ['71-48=23'] Exploring Operation: 59-23=36, Resulting Numbers: [4, 36] Generated Node #0,1,0: 96:[4, 36] Operation: 59-23=36 Exploring Operation: 59-4=55, Resulting Numbers: [23, 55] Generated Node #0,1,1: 96:[23, 55] Operation: 59-4=55 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 96:[4, 36], Operations: ['71-48=23', '59-23=36'] Exploring Operation: 36/4=9, Resulting Numbers: [9] 9,96 unequal: No Solution Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,96 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: 96:[23, 55], Operations: ['71-48=23', '59-4=55'] Exploring Operation: 55-23=32, Resulting Numbers: [32] 32,96 unequal: No Solution Exploring Operation: 23+55=78, Resulting Numbers: [78] 78,96 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_2
sum_heuristic
[ 3, 17, 81, 56 ]
12
[ "81/3=27", "56-17=39", "39-27=12" ]
Current State: 12:[3, 17, 81, 56], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [17, 56, 27] Generated Node #2: [17, 56, 27] from Operation: 81/3=27 Current State: 12:[17, 56, 27], Operations: ['81/3=27'] Exploring Operation: 56-17=39, Resulting Numbers: [27, 39] Generated Node #3: [27, 39] from Operation: 56-17=39 Current State: 12:[27, 39], Operations: ['81/3=27', '56-17=39'] Exploring Operation: 39-27=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[3, 17, 81, 56], Operations: [] Exploring Operation: 81-56=25, Resulting Numbers: [3, 17, 25] Generated Node #0,0: 12:[3, 17, 25] Operation: 81-56=25 Exploring Operation: 56-17=39, Resulting Numbers: [3, 81, 39] Generated Node #0,1: 12:[3, 81, 39] Operation: 56-17=39 Exploring Operation: 81/3=27, Resulting Numbers: [17, 56, 27] Generated Node #0,2: 12:[17, 56, 27] Operation: 81/3=27 Exploring Operation: 17-3=14, Resulting Numbers: [81, 56, 14] Generated Node #0,3: 12:[81, 56, 14] Operation: 17-3=14 Exploring Operation: 81-17=64, Resulting Numbers: [3, 56, 64] Generated Node #0,4: 12:[3, 56, 64] Operation: 81-17=64 Moving to Node #0,0 Current State: 12:[3, 17, 25], Operations: ['81-56=25'] Exploring Operation: 25-3=22, Resulting Numbers: [17, 22] Generated Node #0,0,0: 12:[17, 22] Operation: 25-3=22 Exploring Operation: 25-17=8, Resulting Numbers: [3, 8] Generated Node #0,0,1: 12:[3, 8] Operation: 25-17=8 Exploring Operation: 3+25=28, Resulting Numbers: [17, 28] Generated Node #0,0,2: 12:[17, 28] Operation: 3+25=28 Exploring Operation: 3+17=20, Resulting Numbers: [25, 20] Generated Node #0,0,3: 12:[25, 20] Operation: 3+17=20 Exploring Operation: 17-3=14, Resulting Numbers: [25, 14] Generated Node #0,0,4: 12:[25, 14] Operation: 17-3=14 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 12:[3, 8], Operations: ['81-56=25', '25-17=8'] Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,12 unequal: No Solution Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,12 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,12 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: 12:[17, 22], Operations: ['81-56=25', '25-3=22'] Exploring Operation: 22-17=5, Resulting Numbers: [5] 5,12 unequal: No Solution Exploring Operation: 17+22=39, Resulting Numbers: [39] 39,12 unequal: No Solution Exploring Operation: 17*22=374, Resulting Numbers: [374] 374,12 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: 12:[25, 14], Operations: ['81-56=25', '17-3=14'] Exploring Operation: 25+14=39, Resulting Numbers: [39] 39,12 unequal: No Solution Exploring Operation: 25-14=11, Resulting Numbers: [11] 11,12 unequal: No Solution Exploring Operation: 25*14=350, Resulting Numbers: [350] 350,12 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: 12:[17, 28], Operations: ['81-56=25', '3+25=28'] Exploring Operation: 17+28=45, Resulting Numbers: [45] 45,12 unequal: No Solution Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,12 unequal: No Solution Exploring Operation: 17*28=476, Resulting Numbers: [476] 476,12 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: 12:[25, 20], Operations: ['81-56=25', '3+17=20'] Exploring Operation: 25*20=500, Resulting Numbers: [500] 500,12 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,12 unequal: No Solution Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,12 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: 12:[17, 56, 27], Operations: ['81/3=27'] Exploring Operation: 17+56=73, Resulting Numbers: [27, 73] Generated Node #0,2,0: 12:[27, 73] Operation: 17+56=73 Exploring Operation: 56-27=29, Resulting Numbers: [17, 29] Generated Node #0,2,1: 12:[17, 29] Operation: 56-27=29 Exploring Operation: 56-17=39, Resulting Numbers: [27, 39] Generated Node #0,2,2: 12:[27, 39] Operation: 56-17=39 Exploring Operation: 27-17=10, Resulting Numbers: [56, 10] Generated Node #0,2,3: 12:[56, 10] Operation: 27-17=10 Exploring Operation: 17+27=44, Resulting Numbers: [56, 44] Generated Node #0,2,4: 12:[56, 44] Operation: 17+27=44 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 12:[17, 29], Operations: ['81/3=27', '56-27=29'] Exploring Operation: 17+29=46, Resulting Numbers: [46] 46,12 unequal: No Solution Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[3, 17, 81, 56], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [17, 56, 27] Generated Node #0,2: 12:[17, 56, 27] Operation: 81/3=27 Moving to Node #0,2 Current State: 12:[17, 56, 27], Operations: ['81/3=27'] Exploring Operation: 56-27=29, Resulting Numbers: [17, 29] Generated Node #0,2,1: 12:[17, 29] Operation: 56-27=29 Moving to Node #0,2,1 Current State: 12:[17, 29], Operations: ['81/3=27', '56-27=29'] Exploring Operation: 29-17=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_5
mult_heuristic
[ 39, 12, 40, 85 ]
72
[ "39-12=27", "85-40=45", "27+45=72" ]
Current State: 72:[39, 12, 40, 85], Operations: [] Exploring Operation: 39-12=27, Resulting Numbers: [40, 85, 27] Generated Node #2: [40, 85, 27] from Operation: 39-12=27 Current State: 72:[40, 85, 27], Operations: ['39-12=27'] Exploring Operation: 85-40=45, Resulting Numbers: [27, 45] Generated Node #3: [27, 45] from Operation: 85-40=45 Current State: 72:[27, 45], Operations: ['39-12=27', '85-40=45'] Exploring Operation: 27+45=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[39, 12, 40, 85], Operations: [] Exploring Operation: 85-12=73, Resulting Numbers: [39, 40, 73] Generated Node #0,0: 72:[39, 40, 73] Operation: 85-12=73 Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[39, 40, 73], Operations: ['85-12=73'] Exploring Operation: 40-39=1, Resulting Numbers: [73, 1] Generated Node #0,0,0: 72:[73, 1] Operation: 40-39=1 Moving to Node #0,0,0 Current State: 72:[73, 1], Operations: ['85-12=73', '40-39=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[39, 12, 40, 85], Operations: [] Exploring Operation: 85-12=73, Resulting Numbers: [39, 40, 73] Generated Node #0,0: 72:[39, 40, 73] Operation: 85-12=73 Moving to Node #0,0 Current State: 72:[39, 40, 73], Operations: ['85-12=73'] Exploring Operation: 40-39=1, Resulting Numbers: [73, 1] Generated Node #0,0,0: 72:[73, 1] Operation: 40-39=1 Moving to Node #0,0,0 Current State: 72:[73, 1], Operations: ['85-12=73', '40-39=1'] Exploring Operation: 73-1=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 69, 17, 73, 76 ]
55
[ "69-17=52", "76-73=3", "52+3=55" ]
Current State: 55:[69, 17, 73, 76], Operations: [] Exploring Operation: 69-17=52, Resulting Numbers: [73, 76, 52] Generated Node #2: [73, 76, 52] from Operation: 69-17=52 Current State: 55:[73, 76, 52], Operations: ['69-17=52'] Exploring Operation: 76-73=3, Resulting Numbers: [52, 3] Generated Node #3: [52, 3] from Operation: 76-73=3 Current State: 55:[52, 3], Operations: ['69-17=52', '76-73=3'] Exploring Operation: 52+3=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[69, 17, 73, 76], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [17, 76, 4] Generated Node #0,0: 55:[17, 76, 4] Operation: 73-69=4 Exploring Operation: 76-69=7, Resulting Numbers: [17, 73, 7] Generated Node #0,1: 55:[17, 73, 7] Operation: 76-69=7 Exploring Operation: 73-17=56, Resulting Numbers: [69, 76, 56] Generated Node #0,2: 55:[69, 76, 56] Operation: 73-17=56 Exploring Operation: 76-73=3, Resulting Numbers: [69, 17, 3] Generated Node #0,3: 55:[69, 17, 3] Operation: 76-73=3 Start Sub Search at level 1: Moving to Node #0,3 Current State: 55:[69, 17, 3], Operations: ['76-73=3'] Exploring Operation: 69/3=23, Resulting Numbers: [17, 23] Generated Node #0,3,0: 55:[17, 23] Operation: 69/3=23 Exploring Operation: 17-3=14, Resulting Numbers: [69, 14] Generated Node #0,3,1: 55:[69, 14] Operation: 17-3=14 Exploring Operation: 69-17=52, Resulting Numbers: [3, 52] Generated Node #0,3,2: 55:[3, 52] Operation: 69-17=52 Exploring Operation: 69-3=66, Resulting Numbers: [17, 66] Generated Node #0,3,3: 55:[17, 66] Operation: 69-3=66 Moving to Node #0,3,2 Current State: 55:[3, 52], Operations: ['76-73=3', '69-17=52'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,55 unequal: No Solution Exploring Operation: 3*52=156, Resulting Numbers: [156] 156,55 unequal: No Solution Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Moving to Node #0 Current State: 55:[69, 17, 73, 76], Operations: [] Exploring Operation: 76-73=3, Resulting Numbers: [69, 17, 3] Generated Node #0,3: 55:[69, 17, 3] Operation: 76-73=3 Moving to Node #0,3 Current State: 55:[69, 17, 3], Operations: ['76-73=3'] Exploring Operation: 69-17=52, Resulting Numbers: [3, 52] Generated Node #0,3,2: 55:[3, 52] Operation: 69-17=52 Moving to Node #0,3,2 Current State: 55:[3, 52], Operations: ['76-73=3', '69-17=52'] Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 90, 45, 54, 36 ]
45
[ "90+45=135", "54+36=90", "135-90=45" ]
Current State: 45:[90, 45, 54, 36], Operations: [] Exploring Operation: 90+45=135, Resulting Numbers: [54, 36, 135] Generated Node #2: [54, 36, 135] from Operation: 90+45=135 Current State: 45:[54, 36, 135], Operations: ['90+45=135'] Exploring Operation: 54+36=90, Resulting Numbers: [135, 90] Generated Node #3: [135, 90] from Operation: 54+36=90 Current State: 45:[135, 90], Operations: ['90+45=135', '54+36=90'] Exploring Operation: 135-90=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[90, 45, 54, 36], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [45, 54, 54] Generated Node #0,0: 45:[45, 54, 54] Operation: 90-36=54 Exploring Operation: 90-54=36, Resulting Numbers: [45, 36, 36] Generated Node #0,1: 45:[45, 36, 36] Operation: 90-54=36 Exploring Operation: 90-45=45, Resulting Numbers: [54, 36, 45] Generated Node #0,2: 45:[54, 36, 45] Operation: 90-45=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 45:[45, 54, 54], Operations: ['90-36=54'] Exploring Operation: 54-54=0, Resulting Numbers: [45, 0] Generated Node #0,0,0: 45:[45, 0] Operation: 54-54=0 Exploring Operation: 54-45=9, Resulting Numbers: [54, 9] Generated Node #0,0,1: 45:[54, 9] Operation: 54-45=9 Exploring Operation: 54/54=1, Resulting Numbers: [45, 1] Generated Node #0,0,2: 45:[45, 1] Operation: 54/54=1 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 45:[45, 1], Operations: ['90-36=54', '54/54=1'] Exploring Operation: 45+1=46, Resulting Numbers: [46] 46,45 unequal: No Solution Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[90, 45, 54, 36], Operations: [] Exploring Operation: 90-36=54, Resulting Numbers: [45, 54, 54] Generated Node #0,0: 45:[45, 54, 54] Operation: 90-36=54 Moving to Node #0,0 Current State: 45:[45, 54, 54], Operations: ['90-36=54'] Exploring Operation: 54/54=1, Resulting Numbers: [45, 1] Generated Node #0,0,2: 45:[45, 1] Operation: 54/54=1 Moving to Node #0,0,2 Current State: 45:[45, 1], Operations: ['90-36=54', '54/54=1'] Exploring Operation: 45*1=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
mult_heuristic
[ 58, 3, 2, 28 ]
82
[ "58-3=55", "2*55=110", "110-28=82" ]
Current State: 82:[58, 3, 2, 28], Operations: [] Exploring Operation: 58-3=55, Resulting Numbers: [2, 28, 55] Generated Node #2: [2, 28, 55] from Operation: 58-3=55 Current State: 82:[2, 28, 55], Operations: ['58-3=55'] Exploring Operation: 2*55=110, Resulting Numbers: [28, 110] Generated Node #3: [28, 110] from Operation: 2*55=110 Current State: 82:[28, 110], Operations: ['58-3=55', '2*55=110'] Exploring Operation: 110-28=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[58, 3, 2, 28], Operations: [] Exploring Operation: 58+28=86, Resulting Numbers: [3, 2, 86] Generated Node #0,0: 82:[3, 2, 86] Operation: 58+28=86 Exploring Operation: 3*28=84, Resulting Numbers: [58, 2, 84] Generated Node #0,1: 82:[58, 2, 84] Operation: 3*28=84 Exploring Operation: 58/2=29, Resulting Numbers: [3, 28, 29] Generated Node #0,2: 82:[3, 28, 29] Operation: 58/2=29 Exploring Operation: 58-28=30, Resulting Numbers: [3, 2, 30] Generated Node #0,3: 82:[3, 2, 30] Operation: 58-28=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[3, 2, 86], Operations: ['58+28=86'] Exploring Operation: 86-2=84, Resulting Numbers: [3, 84] Generated Node #0,0,0: 82:[3, 84] Operation: 86-2=84 Exploring Operation: 3-2=1, Resulting Numbers: [86, 1] Generated Node #0,0,1: 82:[86, 1] Operation: 3-2=1 Exploring Operation: 86/2=43, Resulting Numbers: [3, 43] Generated Node #0,0,2: 82:[3, 43] Operation: 86/2=43 Exploring Operation: 86-3=83, Resulting Numbers: [2, 83] Generated Node #0,0,3: 82:[2, 83] Operation: 86-3=83 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 82:[2, 83], Operations: ['58+28=86', '86-3=83'] Exploring Operation: 2+83=85, Resulting Numbers: [85] 85,82 unequal: No Solution Exploring Operation: 83-2=81, Resulting Numbers: [81] 81,82 unequal: No Solution Exploring Operation: 2*83=166, Resulting Numbers: [166] 166,82 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: 82:[3, 84], Operations: ['58+28=86', '86-2=84'] Exploring Operation: 3*84=252, Resulting Numbers: [252] 252,82 unequal: No Solution Exploring Operation: 84/3=28, Resulting Numbers: [28] 28,82 unequal: No Solution Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,82 unequal: No Solution Exploring Operation: 3+84=87, Resulting Numbers: [87] 87,82 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: 82:[3, 43], Operations: ['58+28=86', '86/2=43'] Exploring Operation: 3*43=129, Resulting Numbers: [129] 129,82 unequal: No Solution Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,82 unequal: No Solution Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,82 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: 82:[86, 1], Operations: ['58+28=86', '3-2=1'] Exploring Operation: 86+1=87, Resulting Numbers: [87] 87,82 unequal: No Solution Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,82 unequal: No Solution Exploring Operation: 86-1=85, Resulting Numbers: [85] 85,82 unequal: No Solution Exploring Operation: 86/1=86, Resulting Numbers: [86] 86,82 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: 82:[3, 2, 30], Operations: ['58-28=30'] Exploring Operation: 30/3=10, Resulting Numbers: [2, 10] Generated Node #0,3,0: 82:[2, 10] Operation: 30/3=10 Exploring Operation: 3*30=90, Resulting Numbers: [2, 90] Generated Node #0,3,1: 82:[2, 90] Operation: 3*30=90 Exploring Operation: 3+30=33, Resulting Numbers: [2, 33] Generated Node #0,3,2: 82:[2, 33] Operation: 3+30=33 Exploring Operation: 2+30=32, Resulting Numbers: [3, 32] Generated Node #0,3,3: 82:[3, 32] Operation: 2+30=32 Moving to Node #0,3,0 Current State: 82:[2, 10], Operations: ['58-28=30', '30/3=10'] Exploring Operation: 2+10=12, Resulting Numbers: [12] 12,82 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,82 unequal: No Solution Exploring Operation: 2*10=20, Resulting Numbers: [20] 20,82 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,82 unequal: No Solution Moving to Node #0,3,2 Current State: 82:[2, 33], Operations: ['58-28=30', '3+30=33'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,82 unequal: No Solution Exploring Operation: 2+33=35, Resulting Numbers: [35] 35,82 unequal: No Solution Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,82 unequal: No Solution Moving to Node #0,3,1 Current State: 82:[2, 90], Operations: ['58-28=30', '3*30=90'] Exploring Operation: 2*90=180, Resulting Numbers: [180] 180,82 unequal: No Solution Exploring Operation: 90-2=88, Resulting Numbers: [88] 88,82 unequal: No Solution Exploring Operation: 90/2=45, Resulting Numbers: [45] 45,82 unequal: No Solution Exploring Operation: 2+90=92, Resulting Numbers: [92] 92,82 unequal: No Solution Moving to Node #0,3,3 Current State: 82:[3, 32], Operations: ['58-28=30', '2+30=32'] Exploring Operation: 3+32=35, Resulting Numbers: [35] 35,82 unequal: No Solution Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,82 unequal: No Solution Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,82 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: 82:[58, 2, 84], Operations: ['3*28=84'] Exploring Operation: 84-2=82, Resulting Numbers: [58, 82] Generated Node #0,1,0: 82:[58, 82] Operation: 84-2=82 Exploring Operation: 84-58=26, Resulting Numbers: [2, 26] Generated Node #0,1,1: 82:[2, 26] Operation: 84-58=26 Exploring Operation: 58/2=29, Resulting Numbers: [84, 29] Generated Node #0,1,2: 82:[84, 29] Operation: 58/2=29 Exploring Operation: 58-2=56, Resulting Numbers: [84, 56] Generated Node #0,1,3: 82:[84, 56] Operation: 58-2=56 Moving to Node #0,1,2 Current State: 82:[84, 29], Operations: ['3*28=84', '58/2=29'] Exploring Operation: 84+29=113, Resulting Numbers: [113] 113,82 unequal: No Solution Exploring Operation: 84-29=55, Resulting Numbers: [55] 55,82 unequal: No Solution Exploring Operation: 84*29=2436, Resulting Numbers: [2436] 2436,82 unequal: No Solution Moving to Node #0,1,1 Current State: 82:[2, 26], Operations: ['3*28=84', '84-58=26'] Exploring Operation: 2+26=28, Resulting Numbers: [28] 28,82 unequal: No Solution Exploring Operation: 2*26=52, Resulting Numbers: [52] 52,82 unequal: No Solution Exploring Operation: 26-2=24, Resulting Numbers: [24] 24,82 unequal: No Solution Exploring Operation: 26/2=13, Resulting Numbers: [13] 13,82 unequal: No Solution Moving to Node #0,1,3 Current State: 82:[84, 56], Operations: ['3*28=84', '58-2=56'] Exploring Operation: 84-56=28, Resulting Numbers: [28] 28,82 unequal: No Solution Exploring Operation: 84*56=4704, Resulting Numbers: [4704] 4704,82 unequal: No Solution Exploring Operation: 84+56=140, Resulting Numbers: [140] 140,82 unequal: No Solution Moving to Node #0,1,0 Current State: 82:[58, 82], Operations: ['3*28=84', '84-2=82'] Exploring Operation: 82-58=24, Resulting Numbers: [24] 24,82 unequal: No Solution Exploring Operation: 58+82=140, Resulting Numbers: [140] 140,82 unequal: No Solution Exploring Operation: 58*82=4756, Resulting Numbers: [4756] 4756,82 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: 82:[3, 28, 29], Operations: ['58/2=29'] Exploring Operation: 3*28=84, Resulting Numbers: [29, 84] Generated Node #0,2,0: 82:[29, 84] Operation: 3*28=84 Exploring Operation: 29-28=1, Resulting Numbers: [3, 1] Generated Node #0,2,1: 82:[3, 1] Operation: 29-28=1 Exploring Operation: 28+29=57, Resulting Numbers: [3, 57] Generated Node #0,2,2: 82:[3, 57] Operation: 28+29=57 Exploring Operation: 3*29=87, Resulting Numbers: [28, 87] Generated Node #0,2,3: 82:[28, 87] Operation: 3*29=87 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 82:[3, 1], Operations: ['58/2=29', '29-28=1'] Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,82 unequal: No Solution Exploring Operation: 3+1=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,82 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,82 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: 82:[29, 84], Operations: ['58/2=29', '3*28=84'] Exploring Operation: 84-29=55, Resulting Numbers: [55] 55,82 unequal: No Solution Exploring Operation: 29*84=2436, Resulting Numbers: [2436] 2436,82 unequal: No Solution Exploring Operation: 29+84=113, Resulting Numbers: [113] 113,82 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: 82:[3, 57], Operations: ['58/2=29', '28+29=57'] Exploring Operation: 3+57=60, Resulting Numbers: [60] 60,82 unequal: No Solution Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,82 unequal: No Solution Exploring Operation: 3*57=171, Resulting Numbers: [171] 171,82 unequal: No Solution Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,82 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: 82:[28, 87], Operations: ['58/2=29', '3*29=87'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,82 unequal: No Solution Exploring Operation: 28*87=2436, Resulting Numbers: [2436] 2436,82 unequal: No Solution Exploring Operation: 28+87=115, Resulting Numbers: [115] 115,82 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
[ 35, 75, 63, 62 ]
39
[ "75-35=40", "63-62=1", "40-1=39" ]
Current State: 39:[35, 75, 63, 62], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [63, 62, 40] Generated Node #2: [63, 62, 40] from Operation: 75-35=40 Current State: 39:[63, 62, 40], Operations: ['75-35=40'] Exploring Operation: 63-62=1, Resulting Numbers: [40, 1] Generated Node #3: [40, 1] from Operation: 63-62=1 Current State: 39:[40, 1], Operations: ['75-35=40', '63-62=1'] Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[35, 75, 63, 62], Operations: [] Exploring Operation: 75-35=40, Resulting Numbers: [63, 62, 40] Generated Node #0,0: 39:[63, 62, 40] Operation: 75-35=40 Exploring Operation: 75-62=13, Resulting Numbers: [35, 63, 13] Generated Node #0,1: 39:[35, 63, 13] Operation: 75-62=13 Exploring Operation: 63-62=1, Resulting Numbers: [35, 75, 1] Generated Node #0,2: 39:[35, 75, 1] Operation: 63-62=1 Exploring Operation: 75-63=12, Resulting Numbers: [35, 62, 12] Generated Node #0,3: 39:[35, 62, 12] Operation: 75-63=12 Exploring Operation: 63-35=28, Resulting Numbers: [75, 62, 28] Generated Node #0,4: 39:[75, 62, 28] Operation: 63-35=28 Moving to Node #0,1 Current State: 39:[35, 63, 13], Operations: ['75-62=13'] Exploring Operation: 35-13=22, Resulting Numbers: [63, 22] Generated Node #0,1,0: 39:[63, 22] Operation: 35-13=22 Exploring Operation: 63-35=28, Resulting Numbers: [13, 28] Generated Node #0,1,1: 39:[13, 28] Operation: 63-35=28 Exploring Operation: 63+13=76, Resulting Numbers: [35, 76] Generated Node #0,1,2: 39:[35, 76] Operation: 63+13=76 Exploring Operation: 35+13=48, Resulting Numbers: [63, 48] Generated Node #0,1,3: 39:[63, 48] Operation: 35+13=48 Exploring Operation: 63-13=50, Resulting Numbers: [35, 50] Generated Node #0,1,4: 39:[35, 50] Operation: 63-13=50 Moving to Node #0,3 Current State: 39:[35, 62, 12], Operations: ['75-63=12'] Exploring Operation: 35+12=47, Resulting Numbers: [62, 47] Generated Node #0,3,0: 39:[62, 47] Operation: 35+12=47 Exploring Operation: 62-35=27, Resulting Numbers: [12, 27] Generated Node #0,3,1: 39:[12, 27] Operation: 62-35=27 Exploring Operation: 62-12=50, Resulting Numbers: [35, 50] Generated Node #0,3,2: 39:[35, 50] Operation: 62-12=50 Exploring Operation: 35-12=23, Resulting Numbers: [62, 23] Generated Node #0,3,3: 39:[62, 23] Operation: 35-12=23 Exploring Operation: 62+12=74, Resulting Numbers: [35, 74] Generated Node #0,3,4: 39:[35, 74] Operation: 62+12=74 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 39:[12, 27], Operations: ['75-63=12', '62-35=27'] Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,39 unequal: No Solution Exploring Operation: 12*27=324, Resulting Numbers: [324] 324,39 unequal: No Solution Exploring Operation: 12+27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Moving to Node #0 Current State: 39:[35, 75, 63, 62], Operations: [] Exploring Operation: 75-63=12, Resulting Numbers: [35, 62, 12] Generated Node #0,3: 39:[35, 62, 12] Operation: 75-63=12 Moving to Node #0,3 Current State: 39:[35, 62, 12], Operations: ['75-63=12'] Exploring Operation: 62-35=27, Resulting Numbers: [12, 27] Generated Node #0,3,1: 39:[12, 27] Operation: 62-35=27 Moving to Node #0,3,1 Current State: 39:[12, 27], Operations: ['75-63=12', '62-35=27'] Exploring Operation: 12+27=39, Resulting Numbers: [39] 39,39 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_5
sum_heuristic
[ 48, 4, 72, 58 ]
36
[ "58-4=54", "48*54=2592", "2592/72=36" ]
Current State: 36:[48, 4, 72, 58], Operations: [] Exploring Operation: 58-4=54, Resulting Numbers: [48, 72, 54] Generated Node #2: [48, 72, 54] from Operation: 58-4=54 Current State: 36:[48, 72, 54], Operations: ['58-4=54'] Exploring Operation: 48*54=2592, Resulting Numbers: [72, 2592] Generated Node #3: [72, 2592] from Operation: 48*54=2592 Current State: 36:[72, 2592], Operations: ['58-4=54', '48*54=2592'] Exploring Operation: 2592/72=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[48, 4, 72, 58], Operations: [] Exploring Operation: 72-58=14, Resulting Numbers: [48, 4, 14] Generated Node #0,0: 36:[48, 4, 14] Operation: 72-58=14 Exploring Operation: 72-48=24, Resulting Numbers: [4, 58, 24] Generated Node #0,1: 36:[4, 58, 24] Operation: 72-48=24 Exploring Operation: 48/4=12, Resulting Numbers: [72, 58, 12] Generated Node #0,2: 36:[72, 58, 12] Operation: 48/4=12 Exploring Operation: 58-48=10, Resulting Numbers: [4, 72, 10] Generated Node #0,3: 36:[4, 72, 10] Operation: 58-48=10 Exploring Operation: 72/4=18, Resulting Numbers: [48, 58, 18] Generated Node #0,4: 36:[48, 58, 18] Operation: 72/4=18 Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[48, 4, 14], Operations: ['72-58=14'] Exploring Operation: 14-4=10, Resulting Numbers: [48, 10] Generated Node #0,0,0: 36:[48, 10] Operation: 14-4=10 Exploring Operation: 48/4=12, Resulting Numbers: [14, 12] Generated Node #0,0,1: 36:[14, 12] Operation: 48/4=12 Exploring Operation: 48-4=44, Resulting Numbers: [14, 44] Generated Node #0,0,2: 36:[14, 44] Operation: 48-4=44 Exploring Operation: 4+14=18, Resulting Numbers: [48, 18] Generated Node #0,0,3: 36:[48, 18] Operation: 4+14=18 Exploring Operation: 48-14=34, Resulting Numbers: [4, 34] Generated Node #0,0,4: 36:[4, 34] Operation: 48-14=34 Moving to Node #0,0,1 Current State: 36:[14, 12], Operations: ['72-58=14', '48/4=12'] Exploring Operation: 14*12=168, Resulting Numbers: [168] 168,36 unequal: No Solution Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,36 unequal: No Solution Exploring Operation: 14-12=2, Resulting Numbers: [2] 2,36 unequal: No Solution Moving to Node #0,0,4 Current State: 36:[4, 34], Operations: ['72-58=14', '48-14=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,36 unequal: No Solution Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,36 unequal: No Solution Exploring Operation: 4*34=136, Resulting Numbers: [136] 136,36 unequal: No Solution Moving to Node #0,0,2 Current State: 36:[14, 44], Operations: ['72-58=14', '48-4=44'] Exploring Operation: 14+44=58, Resulting Numbers: [58] 58,36 unequal: No Solution Exploring Operation: 14*44=616, Resulting Numbers: [616] 616,36 unequal: No Solution Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,36 unequal: No Solution Moving to Node #0,0,3 Current State: 36:[48, 18], Operations: ['72-58=14', '4+14=18'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,36 unequal: No Solution Exploring Operation: 48*18=864, Resulting Numbers: [864] 864,36 unequal: No Solution Exploring Operation: 48+18=66, Resulting Numbers: [66] 66,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[48, 10], Operations: ['72-58=14', '14-4=10'] Exploring Operation: 48*10=480, Resulting Numbers: [480] 480,36 unequal: No Solution Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,36 unequal: No Solution Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,36 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:[4, 58, 24], Operations: ['72-48=24'] Exploring Operation: 24/4=6, Resulting Numbers: [58, 6] Generated Node #0,1,0: 36:[58, 6] Operation: 24/4=6 Exploring Operation: 4+24=28, Resulting Numbers: [58, 28] Generated Node #0,1,1: 36:[58, 28] Operation: 4+24=28 Exploring Operation: 24-4=20, Resulting Numbers: [58, 20] Generated Node #0,1,2: 36:[58, 20] Operation: 24-4=20 Exploring Operation: 58-4=54, Resulting Numbers: [24, 54] Generated Node #0,1,3: 36:[24, 54] Operation: 58-4=54 Exploring Operation: 58-24=34, Resulting Numbers: [4, 34] Generated Node #0,1,4: 36:[4, 34] Operation: 58-24=34 Moving to Node #0,1,4 Current State: 36:[4, 34], Operations: ['72-48=24', '58-24=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,36 unequal: No Solution Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,36 unequal: No Solution Exploring Operation: 4*34=136, Resulting Numbers: [136] 136,36 unequal: No Solution Moving to Node #0,1,0 Current State: 36:[58, 6], Operations: ['72-48=24', '24/4=6'] Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,36 unequal: No Solution Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,36 unequal: No Solution Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,36 unequal: No Solution Moving to Node #0,1,2 Current State: 36:[58, 20], Operations: ['72-48=24', '24-4=20'] Exploring Operation: 58*20=1160, Resulting Numbers: [1160] 1160,36 unequal: No Solution Exploring Operation: 58-20=38, Resulting Numbers: [38] 38,36 unequal: No Solution Exploring Operation: 58+20=78, Resulting Numbers: [78] 78,36 unequal: No Solution Moving to Node #0,1,3 Current State: 36:[24, 54], Operations: ['72-48=24', '58-4=54'] Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,36 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,36 unequal: No Solution Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,36 unequal: No Solution Moving to Node #0,1,1 Current State: 36:[58, 28], Operations: ['72-48=24', '4+24=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,36 unequal: No Solution Exploring Operation: 58*28=1624, Resulting Numbers: [1624] 1624,36 unequal: No Solution Exploring Operation: 58-28=30, Resulting Numbers: [30] 30,36 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 #0,4 Current State: 36:[48, 58, 18], Operations: ['72/4=18'] Exploring Operation: 58-48=10, Resulting Numbers: [18, 10] Generated Node #0,4,0: 36:[18, 10] Operation: 58-48=10 Exploring Operation: 58-18=40, Resulting Numbers: [48, 40] Generated Node #0,4,1: 36:[48, 40] Operation: 58-18=40 Exploring Operation: 48+18=66, Resulting Numbers: [58, 66] Generated Node #0,4,2: 36:[58, 66] Operation: 48+18=66 Exploring Operation: 48-18=30, Resulting Numbers: [58, 30] Generated Node #0,4,3: 36:[58, 30] Operation: 48-18=30 Exploring Operation: 58+18=76, Resulting Numbers: [48, 76] Generated Node #0,4,4: 36:[48, 76] Operation: 58+18=76 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 36:[18, 10], Operations: ['72/4=18', '58-48=10'] Exploring Operation: 18*10=180, Resulting Numbers: [180] 180,36 unequal: No Solution Exploring Operation: 18+10=28, Resulting Numbers: [28] 28,36 unequal: No Solution Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,36 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 #0,4,1 Current State: 36:[48, 40], Operations: ['72/4=18', '58-18=40'] Exploring Operation: 48+40=88, Resulting Numbers: [88] 88,36 unequal: No Solution Exploring Operation: 48*40=1920, Resulting Numbers: [1920] 1920,36 unequal: No Solution Exploring Operation: 48-40=8, Resulting Numbers: [8] 8,36 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 #0,4,3 Current State: 36:[58, 30], Operations: ['72/4=18', '48-18=30'] Exploring Operation: 58*30=1740, Resulting Numbers: [1740] 1740,36 unequal: No Solution Exploring Operation: 58-30=28, Resulting Numbers: [28] 28,36 unequal: No Solution Exploring Operation: 58+30=88, Resulting Numbers: [88] 88,36 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 #0,4,2 Current State: 36:[58, 66], Operations: ['72/4=18', '48+18=66'] Exploring Operation: 58+66=124, Resulting Numbers: [124] 124,36 unequal: No Solution Exploring Operation: 58*66=3828, Resulting Numbers: [3828] 3828,36 unequal: No Solution Exploring Operation: 66-58=8, Resulting Numbers: [8] 8,36 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 #0,4,4 Current State: 36:[48, 76], Operations: ['72/4=18', '58+18=76'] Exploring Operation: 76-48=28, Resulting Numbers: [28] 28,36 unequal: No Solution Exploring Operation: 48+76=124, Resulting Numbers: [124] 124,36 unequal: No Solution Exploring Operation: 48*76=3648, Resulting Numbers: [3648] 3648,36 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 #0,3 Current State: 36:[4, 72, 10], Operations: ['58-48=10'] Exploring Operation: 72-4=68, Resulting Numbers: [10, 68] Generated Node #0,3,0: 36:[10, 68] Operation: 72-4=68 Exploring Operation: 72/4=18, Resulting Numbers: [10, 18] Generated Node #0,3,1: 36:[10, 18] Operation: 72/4=18 Exploring Operation: 4+10=14, Resulting Numbers: [72, 14] Generated Node #0,3,2: 36:[72, 14] Operation: 4+10=14 Exploring Operation: 10-4=6, Resulting Numbers: [72, 6] Generated Node #0,3,3: 36:[72, 6] Operation: 10-4=6 Exploring Operation: 72-10=62, Resulting Numbers: [4, 62] Generated Node #0,3,4: 36:[4, 62] Operation: 72-10=62 Moving to Node #0,3,1 Current State: 36:[10, 18], Operations: ['58-48=10', '72/4=18'] Exploring Operation: 10+18=28, Resulting Numbers: [28] 28,36 unequal: No Solution Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,36 unequal: No Solution Exploring Operation: 10*18=180, Resulting Numbers: [180] 180,36 unequal: No Solution Moving to Node #0,3,4 Current State: 36:[4, 62], Operations: ['58-48=10', '72-10=62'] Exploring Operation: 4+62=66, Resulting Numbers: [66] 66,36 unequal: No Solution Exploring Operation: 4*62=248, Resulting Numbers: [248] 248,36 unequal: No Solution Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,36 unequal: No Solution Moving to Node #0,3,0 Current State: 36:[10, 68], Operations: ['58-48=10', '72-4=68'] Exploring Operation: 10*68=680, Resulting Numbers: [680] 680,36 unequal: No Solution Exploring Operation: 10+68=78, Resulting Numbers: [78] 78,36 unequal: No Solution Exploring Operation: 68-10=58, Resulting Numbers: [58] 58,36 unequal: No Solution Moving to Node #0,3,3 Current State: 36:[72, 6], Operations: ['58-48=10', '10-4=6'] Exploring Operation: 72*6=432, Resulting Numbers: [432] 432,36 unequal: No Solution Exploring Operation: 72-6=66, Resulting Numbers: [66] 66,36 unequal: No Solution Exploring Operation: 72+6=78, Resulting Numbers: [78] 78,36 unequal: No Solution Exploring Operation: 72/6=12, Resulting Numbers: [12] 12,36 unequal: No Solution Moving to Node #0,3,2 Current State: 36:[72, 14], Operations: ['58-48=10', '4+10=14'] Exploring Operation: 72*14=1008, Resulting Numbers: [1008] 1008,36 unequal: No Solution Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,36 unequal: No Solution Exploring Operation: 72+14=86, Resulting Numbers: [86] 86,36 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 #0,2 Current State: 36:[72, 58, 12], Operations: ['48/4=12'] Exploring Operation: 72-58=14, Resulting Numbers: [12, 14] Generated Node #0,2,0: 36:[12, 14] Operation: 72-58=14 Exploring Operation: 58-12=46, Resulting Numbers: [72, 46] Generated Node #0,2,1: 36:[72, 46] Operation: 58-12=46 Exploring Operation: 72/12=6, Resulting Numbers: [58, 6] Generated Node #0,2,2: 36:[58, 6] Operation: 72/12=6 Exploring Operation: 72+12=84, Resulting Numbers: [58, 84] Generated Node #0,2,3: 36:[58, 84] Operation: 72+12=84 Exploring Operation: 72-12=60, Resulting Numbers: [58, 60] Generated Node #0,2,4: 36:[58, 60] Operation: 72-12=60 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 36:[12, 14], Operations: ['48/4=12', '72-58=14'] Exploring Operation: 12*14=168, Resulting Numbers: [168] 168,36 unequal: No Solution Exploring Operation: 14-12=2, Resulting Numbers: [2] 2,36 unequal: No Solution Exploring Operation: 12+14=26, Resulting Numbers: [26] 26,36 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 #0,2,2 Current State: 36:[58, 6], Operations: ['48/4=12', '72/12=6'] Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,36 unequal: No Solution Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,36 unequal: No Solution Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,36 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:[72, 46], Operations: ['48/4=12', '58-12=46'] Exploring Operation: 72+46=118, Resulting Numbers: [118] 118,36 unequal: No Solution Exploring Operation: 72-46=26, Resulting Numbers: [26] 26,36 unequal: No Solution Exploring Operation: 72*46=3312, Resulting Numbers: [3312] 3312,36 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 #0,2,4 Current State: 36:[58, 60], Operations: ['48/4=12', '72-12=60'] Exploring Operation: 58*60=3480, Resulting Numbers: [3480] 3480,36 unequal: No Solution Exploring Operation: 58+60=118, Resulting Numbers: [118] 118,36 unequal: No Solution Exploring Operation: 60-58=2, Resulting Numbers: [2] 2,36 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 #0,2,3 Current State: 36:[58, 84], Operations: ['48/4=12', '72+12=84'] Exploring Operation: 58+84=142, Resulting Numbers: [142] 142,36 unequal: No Solution Exploring Operation: 58*84=4872, Resulting Numbers: [4872] 4872,36 unequal: No Solution Exploring Operation: 84-58=26, Resulting Numbers: [26] 26,36 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_5
mult_heuristic
[ 87, 64, 14, 34 ]
25
[ "87-64=23", "14+34=48", "48-23=25" ]
Current State: 25:[87, 64, 14, 34], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [14, 34, 23] Generated Node #2: [14, 34, 23] from Operation: 87-64=23 Current State: 25:[14, 34, 23], Operations: ['87-64=23'] Exploring Operation: 14+34=48, Resulting Numbers: [23, 48] Generated Node #3: [23, 48] from Operation: 14+34=48 Current State: 25:[23, 48], Operations: ['87-64=23', '14+34=48'] Exploring Operation: 48-23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[87, 64, 14, 34], Operations: [] Exploring Operation: 87-64=23, Resulting Numbers: [14, 34, 23] Generated Node #0,0: 25:[14, 34, 23] Operation: 87-64=23 Exploring Operation: 64-14=50, Resulting Numbers: [87, 34, 50] Generated Node #0,1: 25:[87, 34, 50] Operation: 64-14=50 Exploring Operation: 87-14=73, Resulting Numbers: [64, 34, 73] Generated Node #0,2: 25:[64, 34, 73] Operation: 87-14=73 Exploring Operation: 64-34=30, Resulting Numbers: [87, 14, 30] Generated Node #0,3: 25:[87, 14, 30] Operation: 64-34=30 Exploring Operation: 87-34=53, Resulting Numbers: [64, 14, 53] Generated Node #0,4: 25:[64, 14, 53] Operation: 87-34=53 Moving to Node #0,0 Current State: 25:[14, 34, 23], Operations: ['87-64=23'] Exploring Operation: 14+34=48, Resulting Numbers: [23, 48] Generated Node #0,0,0: 25:[23, 48] Operation: 14+34=48 Exploring Operation: 34-14=20, Resulting Numbers: [23, 20] Generated Node #0,0,1: 25:[23, 20] Operation: 34-14=20 Exploring Operation: 23-14=9, Resulting Numbers: [34, 9] Generated Node #0,0,2: 25:[34, 9] Operation: 23-14=9 Exploring Operation: 14+23=37, Resulting Numbers: [34, 37] Generated Node #0,0,3: 25:[34, 37] Operation: 14+23=37 Exploring Operation: 34-23=11, Resulting Numbers: [14, 11] Generated Node #0,0,4: 25:[14, 11] Operation: 34-23=11 Moving to Node #0,4 Current State: 25:[64, 14, 53], Operations: ['87-34=53'] Exploring Operation: 14+53=67, Resulting Numbers: [64, 67] Generated Node #0,4,0: 25:[64, 67] Operation: 14+53=67 Exploring Operation: 53-14=39, Resulting Numbers: [64, 39] Generated Node #0,4,1: 25:[64, 39] Operation: 53-14=39 Exploring Operation: 64-53=11, Resulting Numbers: [14, 11] Generated Node #0,4,2: 25:[14, 11] Operation: 64-53=11 Exploring Operation: 64-14=50, Resulting Numbers: [53, 50] Generated Node #0,4,3: 25:[53, 50] Operation: 64-14=50 Exploring Operation: 64+14=78, Resulting Numbers: [53, 78] Generated Node #0,4,4: 25:[53, 78] Operation: 64+14=78 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 25:[14, 11], Operations: ['87-34=53', '64-53=11'] Exploring Operation: 14*11=154, Resulting Numbers: [154] 154,25 unequal: No Solution Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,25 unequal: No Solution Exploring Operation: 14+11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[87, 64, 14, 34], Operations: [] Exploring Operation: 87-34=53, Resulting Numbers: [64, 14, 53] Generated Node #0,4: 25:[64, 14, 53] Operation: 87-34=53 Moving to Node #0,4 Current State: 25:[64, 14, 53], Operations: ['87-34=53'] Exploring Operation: 64-53=11, Resulting Numbers: [14, 11] Generated Node #0,4,2: 25:[14, 11] Operation: 64-53=11 Moving to Node #0,4,2 Current State: 25:[14, 11], Operations: ['87-34=53', '64-53=11'] Exploring Operation: 14+11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_5
mult_heuristic
[ 31, 11, 18, 40 ]
100
[ "31+11=42", "18+40=58", "42+58=100" ]
Current State: 100:[31, 11, 18, 40], Operations: [] Exploring Operation: 31+11=42, Resulting Numbers: [18, 40, 42] Generated Node #2: [18, 40, 42] from Operation: 31+11=42 Current State: 100:[18, 40, 42], Operations: ['31+11=42'] Exploring Operation: 18+40=58, Resulting Numbers: [42, 58] Generated Node #3: [42, 58] from Operation: 18+40=58 Current State: 100:[42, 58], Operations: ['31+11=42', '18+40=58'] Exploring Operation: 42+58=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[31, 11, 18, 40], Operations: [] Exploring Operation: 40-31=9, Resulting Numbers: [11, 18, 9] Generated Node #0,0: 100:[11, 18, 9] Operation: 40-31=9 Moving to Node #0,0 Current State: 100:[11, 18, 9], Operations: ['40-31=9'] Exploring Operation: 18/9=2, Resulting Numbers: [11, 2] Generated Node #0,0,0: 100:[11, 2] Operation: 18/9=2 Moving to Node #0,0,0 Current State: 100:[11, 2], Operations: ['40-31=9', '18/9=2'] Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,100 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 13, 63, 37, 10 ]
16
[ "13-10=3", "63/3=21", "37-21=16" ]
Current State: 16:[13, 63, 37, 10], Operations: [] Exploring Operation: 13-10=3, Resulting Numbers: [63, 37, 3] Generated Node #2: [63, 37, 3] from Operation: 13-10=3 Current State: 16:[63, 37, 3], Operations: ['13-10=3'] Exploring Operation: 63/3=21, Resulting Numbers: [37, 21] Generated Node #3: [37, 21] from Operation: 63/3=21 Current State: 16:[37, 21], Operations: ['13-10=3', '63/3=21'] Exploring Operation: 37-21=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[13, 63, 37, 10], Operations: [] Exploring Operation: 63-37=26, Resulting Numbers: [13, 10, 26] Generated Node #0,0: 16:[13, 10, 26] Operation: 63-37=26 Exploring Operation: 63-10=53, Resulting Numbers: [13, 37, 53] Generated Node #0,1: 16:[13, 37, 53] Operation: 63-10=53 Exploring Operation: 37-13=24, Resulting Numbers: [63, 10, 24] Generated Node #0,2: 16:[63, 10, 24] Operation: 37-13=24 Exploring Operation: 37-10=27, Resulting Numbers: [13, 63, 27] Generated Node #0,3: 16:[13, 63, 27] Operation: 37-10=27 Exploring Operation: 63-13=50, Resulting Numbers: [37, 10, 50] Generated Node #0,4: 16:[37, 10, 50] Operation: 63-13=50 Moving to Node #0,0 Current State: 16:[13, 10, 26], Operations: ['63-37=26'] Exploring Operation: 13+10=23, Resulting Numbers: [26, 23] Generated Node #0,0,0: 16:[26, 23] Operation: 13+10=23 Exploring Operation: 26-13=13, Resulting Numbers: [10, 13] Generated Node #0,0,1: 16:[10, 13] Operation: 26-13=13 Exploring Operation: 26/13=2, Resulting Numbers: [10, 2] Generated Node #0,0,2: 16:[10, 2] Operation: 26/13=2 Exploring Operation: 26-10=16, Resulting Numbers: [13, 16] Generated Node #0,0,3: 16:[13, 16] Operation: 26-10=16 Exploring Operation: 13-10=3, Resulting Numbers: [26, 3] Generated Node #0,0,4: 16:[26, 3] Operation: 13-10=3 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 16:[10, 2], Operations: ['63-37=26', '26/13=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,16 unequal: No Solution Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,16 unequal: No Solution Exploring Operation: 10-2=8, Resulting Numbers: [8] 8,16 unequal: No Solution Exploring Operation: 10*2=20, Resulting Numbers: [20] 20,16 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: 16:[13, 16], Operations: ['63-37=26', '26-10=16'] Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 13*16=208, Resulting Numbers: [208] 208,16 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: 16:[10, 13], Operations: ['63-37=26', '26-13=13'] Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 10*13=130, Resulting Numbers: [130] 130,16 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: 16:[26, 3], Operations: ['63-37=26', '13-10=3'] Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,16 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: 16:[26, 23], Operations: ['63-37=26', '13+10=23'] Exploring Operation: 26+23=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 26-23=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 26*23=598, Resulting Numbers: [598] 598,16 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: 16:[37, 10, 50], Operations: ['63-13=50'] Exploring Operation: 50/10=5, Resulting Numbers: [37, 5] Generated Node #0,4,0: 16:[37, 5] Operation: 50/10=5 Exploring Operation: 50-10=40, Resulting Numbers: [37, 40] Generated Node #0,4,1: 16:[37, 40] Operation: 50-10=40 Exploring Operation: 37-10=27, Resulting Numbers: [50, 27] Generated Node #0,4,2: 16:[50, 27] Operation: 37-10=27 Exploring Operation: 37+10=47, Resulting Numbers: [50, 47] Generated Node #0,4,3: 16:[50, 47] Operation: 37+10=47 Exploring Operation: 50-37=13, Resulting Numbers: [10, 13] Generated Node #0,4,4: 16:[10, 13] Operation: 50-37=13 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 16:[10, 13], Operations: ['63-13=50', '50-37=13'] Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 10+13=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 10*13=130, Resulting Numbers: [130] 130,16 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: 16:[37, 5], Operations: ['63-13=50', '50/10=5'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,16 unequal: No Solution Exploring Operation: 37+5=42, Resulting Numbers: [42] 42,16 unequal: No Solution Exploring Operation: 37*5=185, Resulting Numbers: [185] 185,16 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: 16:[37, 40], Operations: ['63-13=50', '50-10=40'] Exploring Operation: 40-37=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 37+40=77, Resulting Numbers: [77] 77,16 unequal: No Solution Exploring Operation: 37*40=1480, Resulting Numbers: [1480] 1480,16 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: 16:[50, 27], Operations: ['63-13=50', '37-10=27'] Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 50*27=1350, Resulting Numbers: [1350] 1350,16 unequal: No Solution Exploring Operation: 50+27=77, Resulting Numbers: [77] 77,16 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: 16:[50, 47], Operations: ['63-13=50', '37+10=47'] Exploring Operation: 50-47=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 50+47=97, Resulting Numbers: [97] 97,16 unequal: No Solution Exploring Operation: 50*47=2350, Resulting Numbers: [2350] 2350,16 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: 16:[63, 10, 24], Operations: ['37-13=24'] Exploring Operation: 10+24=34, Resulting Numbers: [63, 34] Generated Node #0,2,0: 16:[63, 34] Operation: 10+24=34 Exploring Operation: 24-10=14, Resulting Numbers: [63, 14] Generated Node #0,2,1: 16:[63, 14] Operation: 24-10=14 Exploring Operation: 63-24=39, Resulting Numbers: [10, 39] Generated Node #0,2,2: 16:[10, 39] Operation: 63-24=39 Exploring Operation: 63+10=73, Resulting Numbers: [24, 73] Generated Node #0,2,3: 16:[24, 73] Operation: 63+10=73 Exploring Operation: 63-10=53, Resulting Numbers: [24, 53] Generated Node #0,2,4: 16:[24, 53] Operation: 63-10=53 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 16:[10, 39], Operations: ['37-13=24', '63-24=39'] Exploring Operation: 10+39=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 39-10=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 10*39=390, Resulting Numbers: [390] 390,16 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: 16:[24, 53], Operations: ['37-13=24', '63-10=53'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 24*53=1272, Resulting Numbers: [1272] 1272,16 unequal: No Solution Exploring Operation: 24+53=77, Resulting Numbers: [77] 77,16 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: 16:[63, 14], Operations: ['37-13=24', '24-10=14'] Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,16 unequal: No Solution Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 63*14=882, Resulting Numbers: [882] 882,16 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: 16:[63, 34], Operations: ['37-13=24', '10+24=34'] Exploring Operation: 63*34=2142, Resulting Numbers: [2142] 2142,16 unequal: No Solution Exploring Operation: 63-34=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 63+34=97, Resulting Numbers: [97] 97,16 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: 16:[24, 73], Operations: ['37-13=24', '63+10=73'] Exploring Operation: 24*73=1752, Resulting Numbers: [1752] 1752,16 unequal: No Solution Exploring Operation: 73-24=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 24+73=97, Resulting Numbers: [97] 97,16 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: 16:[13, 37, 53], Operations: ['63-10=53'] Exploring Operation: 53-37=16, Resulting Numbers: [13, 16] Generated Node #0,1,0: 16:[13, 16] Operation: 53-37=16 Exploring Operation: 37-13=24, Resulting Numbers: [53, 24] Generated Node #0,1,1: 16:[53, 24] Operation: 37-13=24 Exploring Operation: 53-13=40, Resulting Numbers: [37, 40] Generated Node #0,1,2: 16:[37, 40] Operation: 53-13=40 Exploring Operation: 13+37=50, Resulting Numbers: [53, 50] Generated Node #0,1,3: 16:[53, 50] Operation: 13+37=50 Exploring Operation: 13+53=66, Resulting Numbers: [37, 66] Generated Node #0,1,4: 16:[37, 66] Operation: 13+53=66 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 16:[13, 16], Operations: ['63-10=53', '53-37=16'] Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,16 unequal: No Solution Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 13*16=208, Resulting Numbers: [208] 208,16 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: 16:[53, 24], Operations: ['63-10=53', '37-13=24'] Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,16 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,16 unequal: No Solution Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,16 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: 16:[37, 40], Operations: ['63-10=53', '53-13=40'] Exploring Operation: 40-37=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 37+40=77, Resulting Numbers: [77] 77,16 unequal: No Solution Exploring Operation: 37*40=1480, Resulting Numbers: [1480] 1480,16 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: 16:[53, 50], Operations: ['63-10=53', '13+37=50'] Exploring Operation: 53+50=103, Resulting Numbers: [103] 103,16 unequal: No Solution Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,16 unequal: No Solution Exploring Operation: 53*50=2650, Resulting Numbers: [2650] 2650,16 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: 16:[37, 66], Operations: ['63-10=53', '13+53=66'] Exploring Operation: 37+66=103, Resulting Numbers: [103] 103,16 unequal: No Solution Exploring Operation: 37*66=2442, Resulting Numbers: [2442] 2442,16 unequal: No Solution Exploring Operation: 66-37=29, Resulting Numbers: [29] 29,16 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: 16:[13, 63, 27], Operations: ['37-10=27'] Exploring Operation: 63-13=50, Resulting Numbers: [27, 50] Generated Node #0,3,0: 16:[27, 50] Operation: 63-13=50 Exploring Operation: 13+63=76, Resulting Numbers: [27, 76] Generated Node #0,3,1: 16:[27, 76] Operation: 13+63=76 Exploring Operation: 13+27=40, Resulting Numbers: [63, 40] Generated Node #0,3,2: 16:[63, 40] Operation: 13+27=40 Exploring Operation: 63-27=36, Resulting Numbers: [13, 36] Generated Node #0,3,3: 16:[13, 36] Operation: 63-27=36 Exploring Operation: 27-13=14, Resulting Numbers: [63, 14] Generated Node #0,3,4: 16:[63, 14] Operation: 27-13=14 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 16:[13, 36], Operations: ['37-10=27', '63-27=36'] Exploring Operation: 13*36=468, Resulting Numbers: [468] 468,16 unequal: No Solution Exploring Operation: 36-13=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 13+36=49, Resulting Numbers: [49] 49,16 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: 16:[27, 50], Operations: ['37-10=27', '63-13=50'] Exploring Operation: 50-27=23, Resulting Numbers: [23] 23,16 unequal: No Solution Exploring Operation: 27*50=1350, Resulting Numbers: [1350] 1350,16 unequal: No Solution Exploring Operation: 27+50=77, Resulting Numbers: [77] 77,16 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: 16:[63, 14], Operations: ['37-10=27', '27-13=14'] Exploring Operation: 63-14=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 63+14=77, Resulting Numbers: [77] 77,16 unequal: No Solution Exploring Operation: 63*14=882, Resulting Numbers: [882] 882,16 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: 16:[27, 76], Operations: ['37-10=27', '13+63=76'] Exploring Operation: 76-27=49, Resulting Numbers: [49] 49,16 unequal: No Solution Exploring Operation: 27*76=2052, Resulting Numbers: [2052] 2052,16 unequal: No Solution Exploring Operation: 27+76=103, Resulting Numbers: [103] 103,16 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: 16:[63, 40], Operations: ['37-10=27', '13+27=40'] Exploring Operation: 63+40=103, Resulting Numbers: [103] 103,16 unequal: No Solution Exploring Operation: 63*40=2520, Resulting Numbers: [2520] 2520,16 unequal: No Solution Exploring Operation: 63-40=23, Resulting Numbers: [23] 23,16 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
[ 9, 7, 68, 26 ]
54
[ "68-26=42", "9*42=378", "378/7=54" ]
Current State: 54:[9, 7, 68, 26], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [9, 7, 42] Generated Node #2: [9, 7, 42] from Operation: 68-26=42 Current State: 54:[9, 7, 42], Operations: ['68-26=42'] Exploring Operation: 9*42=378, Resulting Numbers: [7, 378] Generated Node #3: [7, 378] from Operation: 9*42=378 Current State: 54:[7, 378], Operations: ['68-26=42', '9*42=378'] Exploring Operation: 378/7=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[9, 7, 68, 26], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [68, 26, 2] Generated Node #0,0: 54:[68, 26, 2] Operation: 9-7=2 Exploring Operation: 68-26=42, Resulting Numbers: [9, 7, 42] Generated Node #0,1: 54:[9, 7, 42] Operation: 68-26=42 Exploring Operation: 68-7=61, Resulting Numbers: [9, 26, 61] Generated Node #0,2: 54:[9, 26, 61] Operation: 68-7=61 Exploring Operation: 68-9=59, Resulting Numbers: [7, 26, 59] Generated Node #0,3: 54:[7, 26, 59] Operation: 68-9=59 Start Sub Search at level 1: Moving to Node #0,3 Current State: 54:[7, 26, 59], Operations: ['68-9=59'] Exploring Operation: 26-7=19, Resulting Numbers: [59, 19] Generated Node #0,3,0: 54:[59, 19] Operation: 26-7=19 Exploring Operation: 59-7=52, Resulting Numbers: [26, 52] Generated Node #0,3,1: 54:[26, 52] Operation: 59-7=52 Exploring Operation: 59-26=33, Resulting Numbers: [7, 33] Generated Node #0,3,2: 54:[7, 33] Operation: 59-26=33 Exploring Operation: 7+26=33, Resulting Numbers: [59, 33] Generated Node #0,3,3: 54:[59, 33] Operation: 7+26=33 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 54:[26, 52], Operations: ['68-9=59', '59-7=52'] Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 26*52=1352, Resulting Numbers: [1352] 1352,54 unequal: No Solution Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,54 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: 54:[59, 19], Operations: ['68-9=59', '26-7=19'] Exploring Operation: 59-19=40, Resulting Numbers: [40] 40,54 unequal: No Solution Exploring Operation: 59*19=1121, Resulting Numbers: [1121] 1121,54 unequal: No Solution Exploring Operation: 59+19=78, Resulting Numbers: [78] 78,54 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: 54:[7, 33], Operations: ['68-9=59', '59-26=33'] Exploring Operation: 7*33=231, Resulting Numbers: [231] 231,54 unequal: No Solution Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,54 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: 54:[59, 33], Operations: ['68-9=59', '7+26=33'] Exploring Operation: 59-33=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 59+33=92, Resulting Numbers: [92] 92,54 unequal: No Solution Exploring Operation: 59*33=1947, Resulting Numbers: [1947] 1947,54 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: 54:[9, 26, 61], Operations: ['68-7=61'] Exploring Operation: 61-9=52, Resulting Numbers: [26, 52] Generated Node #0,2,0: 54:[26, 52] Operation: 61-9=52 Exploring Operation: 9+26=35, Resulting Numbers: [61, 35] Generated Node #0,2,1: 54:[61, 35] Operation: 9+26=35 Exploring Operation: 61-26=35, Resulting Numbers: [9, 35] Generated Node #0,2,2: 54:[9, 35] Operation: 61-26=35 Exploring Operation: 26-9=17, Resulting Numbers: [61, 17] Generated Node #0,2,3: 54:[61, 17] Operation: 26-9=17 Moving to Node #0,2,0 Current State: 54:[26, 52], Operations: ['68-7=61', '61-9=52'] Exploring Operation: 26+52=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 26*52=1352, Resulting Numbers: [1352] 1352,54 unequal: No Solution Exploring Operation: 52-26=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 52/26=2, Resulting Numbers: [2] 2,54 unequal: No Solution Moving to Node #0,2,3 Current State: 54:[61, 17], Operations: ['68-7=61', '26-9=17'] Exploring Operation: 61*17=1037, Resulting Numbers: [1037] 1037,54 unequal: No Solution Exploring Operation: 61+17=78, Resulting Numbers: [78] 78,54 unequal: No Solution Exploring Operation: 61-17=44, Resulting Numbers: [44] 44,54 unequal: No Solution Moving to Node #0,2,2 Current State: 54:[9, 35], Operations: ['68-7=61', '61-26=35'] Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,54 unequal: No Solution Exploring Operation: 9+35=44, Resulting Numbers: [44] 44,54 unequal: No Solution Exploring Operation: 9*35=315, Resulting Numbers: [315] 315,54 unequal: No Solution Moving to Node #0,2,1 Current State: 54:[61, 35], Operations: ['68-7=61', '9+26=35'] Exploring Operation: 61+35=96, Resulting Numbers: [96] 96,54 unequal: No Solution Exploring Operation: 61*35=2135, Resulting Numbers: [2135] 2135,54 unequal: No Solution Exploring Operation: 61-35=26, Resulting Numbers: [26] 26,54 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 #0,1 Current State: 54:[9, 7, 42], Operations: ['68-26=42'] Exploring Operation: 42/7=6, Resulting Numbers: [9, 6] Generated Node #0,1,0: 54:[9, 6] Operation: 42/7=6 Exploring Operation: 9+42=51, Resulting Numbers: [7, 51] Generated Node #0,1,1: 54:[7, 51] Operation: 9+42=51 Exploring Operation: 42-9=33, Resulting Numbers: [7, 33] Generated Node #0,1,2: 54:[7, 33] Operation: 42-9=33 Exploring Operation: 7+42=49, Resulting Numbers: [9, 49] Generated Node #0,1,3: 54:[9, 49] Operation: 7+42=49 Moving to Node #0,1,0 Current State: 54:[9, 6], Operations: ['68-26=42', '42/7=6'] Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,54 unequal: No Solution Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,54 unequal: No Solution Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Moving to Node #0 Current State: 54:[9, 7, 68, 26], Operations: [] Exploring Operation: 68-26=42, Resulting Numbers: [9, 7, 42] Generated Node #0,1: 54:[9, 7, 42] Operation: 68-26=42 Moving to Node #0,1 Current State: 54:[9, 7, 42], Operations: ['68-26=42'] Exploring Operation: 42/7=6, Resulting Numbers: [9, 6] Generated Node #0,1,0: 54:[9, 6] Operation: 42/7=6 Moving to Node #0,1,0 Current State: 54:[9, 6], Operations: ['68-26=42', '42/7=6'] Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,54 equal: Goal Reached Exit Sub Search at level 1
0.957465
hs_4
sum_heuristic
[ 11, 14, 54, 66 ]
84
[ "14-11=3", "54/3=18", "66+18=84" ]
Current State: 84:[11, 14, 54, 66], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [54, 66, 3] Generated Node #2: [54, 66, 3] from Operation: 14-11=3 Current State: 84:[54, 66, 3], Operations: ['14-11=3'] Exploring Operation: 54/3=18, Resulting Numbers: [66, 18] Generated Node #3: [66, 18] from Operation: 54/3=18 Current State: 84:[66, 18], Operations: ['14-11=3', '54/3=18'] Exploring Operation: 66+18=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[11, 14, 54, 66], Operations: [] Exploring Operation: 66-54=12, Resulting Numbers: [11, 14, 12] Generated Node #0,0: 84:[11, 14, 12] Operation: 66-54=12 Exploring Operation: 54-11=43, Resulting Numbers: [14, 66, 43] Generated Node #0,1: 84:[14, 66, 43] Operation: 54-11=43 Exploring Operation: 11+66=77, Resulting Numbers: [14, 54, 77] Generated Node #0,2: 84:[14, 54, 77] Operation: 11+66=77 Exploring Operation: 14+66=80, Resulting Numbers: [11, 54, 80] Generated Node #0,3: 84:[11, 54, 80] Operation: 14+66=80 Exploring Operation: 66/11=6, Resulting Numbers: [14, 54, 6] Generated Node #0,4: 84:[14, 54, 6] Operation: 66/11=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[11, 14, 12], Operations: ['66-54=12'] Exploring Operation: 11+14=25, Resulting Numbers: [12, 25] Generated Node #0,0,0: 84:[12, 25] Operation: 11+14=25 Exploring Operation: 12-11=1, Resulting Numbers: [14, 1] Generated Node #0,0,1: 84:[14, 1] Operation: 12-11=1 Exploring Operation: 11+12=23, Resulting Numbers: [14, 23] Generated Node #0,0,2: 84:[14, 23] Operation: 11+12=23 Exploring Operation: 14-11=3, Resulting Numbers: [12, 3] Generated Node #0,0,3: 84:[12, 3] Operation: 14-11=3 Exploring Operation: 14-12=2, Resulting Numbers: [11, 2] Generated Node #0,0,4: 84:[11, 2] Operation: 14-12=2 Moving to Node #0,0,3 Current State: 84:[12, 3], Operations: ['66-54=12', '14-11=3'] Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,84 unequal: No Solution Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,84 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,84 unequal: No Solution Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,84 unequal: No Solution Moving to Node #0,0,4 Current State: 84:[11, 2], Operations: ['66-54=12', '14-12=2'] Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,84 unequal: No Solution Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,84 unequal: No Solution Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[14, 1], Operations: ['66-54=12', '12-11=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,84 unequal: No Solution Exploring Operation: 14/1=14, Resulting Numbers: [14] 14,84 unequal: No Solution Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,84 unequal: No Solution Exploring Operation: 14+1=15, Resulting Numbers: [15] 15,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[14, 23], Operations: ['66-54=12', '11+12=23'] Exploring Operation: 14+23=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 14*23=322, Resulting Numbers: [322] 322,84 unequal: No Solution Exploring Operation: 23-14=9, Resulting Numbers: [9] 9,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[12, 25], Operations: ['66-54=12', '11+14=25'] Exploring Operation: 12*25=300, Resulting Numbers: [300] 300,84 unequal: No Solution Exploring Operation: 12+25=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,84 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 #0,4 Current State: 84:[14, 54, 6], Operations: ['66/11=6'] Exploring Operation: 14*6=84, Resulting Numbers: [54, 84] Generated Node #0,4,0: 84:[54, 84] Operation: 14*6=84 Exploring Operation: 54-6=48, Resulting Numbers: [14, 48] Generated Node #0,4,1: 84:[14, 48] Operation: 54-6=48 Exploring Operation: 14+6=20, Resulting Numbers: [54, 20] Generated Node #0,4,2: 84:[54, 20] Operation: 14+6=20 Exploring Operation: 54/6=9, Resulting Numbers: [14, 9] Generated Node #0,4,3: 84:[14, 9] Operation: 54/6=9 Exploring Operation: 54-14=40, Resulting Numbers: [6, 40] Generated Node #0,4,4: 84:[6, 40] Operation: 54-14=40 Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 84:[14, 9], Operations: ['66/11=6', '54/6=9'] Exploring Operation: 14*9=126, Resulting Numbers: [126] 126,84 unequal: No Solution Exploring Operation: 14+9=23, Resulting Numbers: [23] 23,84 unequal: No Solution Exploring Operation: 14-9=5, Resulting Numbers: [5] 5,84 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: 84:[6, 40], Operations: ['66/11=6', '54-14=40'] Exploring Operation: 6+40=46, Resulting Numbers: [46] 46,84 unequal: No Solution Exploring Operation: 6*40=240, Resulting Numbers: [240] 240,84 unequal: No Solution Exploring Operation: 40-6=34, Resulting Numbers: [34] 34,84 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: 84:[14, 48], Operations: ['66/11=6', '54-6=48'] Exploring Operation: 14*48=672, Resulting Numbers: [672] 672,84 unequal: No Solution Exploring Operation: 48-14=34, Resulting Numbers: [34] 34,84 unequal: No Solution Exploring Operation: 14+48=62, Resulting Numbers: [62] 62,84 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: 84:[54, 84], Operations: ['66/11=6', '14*6=84'] Exploring Operation: 54+84=138, Resulting Numbers: [138] 138,84 unequal: No Solution Exploring Operation: 84-54=30, Resulting Numbers: [30] 30,84 unequal: No Solution Exploring Operation: 54*84=4536, Resulting Numbers: [4536] 4536,84 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: 84:[54, 20], Operations: ['66/11=6', '14+6=20'] Exploring Operation: 54-20=34, Resulting Numbers: [34] 34,84 unequal: No Solution Exploring Operation: 54*20=1080, Resulting Numbers: [1080] 1080,84 unequal: No Solution Exploring Operation: 54+20=74, Resulting Numbers: [74] 74,84 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: 84:[11, 54, 80], Operations: ['14+66=80'] Exploring Operation: 11+80=91, Resulting Numbers: [54, 91] Generated Node #0,3,0: 84:[54, 91] Operation: 11+80=91 Exploring Operation: 54-11=43, Resulting Numbers: [80, 43] Generated Node #0,3,1: 84:[80, 43] Operation: 54-11=43 Exploring Operation: 11+54=65, Resulting Numbers: [80, 65] Generated Node #0,3,2: 84:[80, 65] Operation: 11+54=65 Exploring Operation: 80-54=26, Resulting Numbers: [11, 26] Generated Node #0,3,3: 84:[11, 26] Operation: 80-54=26 Exploring Operation: 80-11=69, Resulting Numbers: [54, 69] Generated Node #0,3,4: 84:[54, 69] Operation: 80-11=69 Moving to Node #0,3,3 Current State: 84:[11, 26], Operations: ['14+66=80', '80-54=26'] Exploring Operation: 11+26=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 11*26=286, Resulting Numbers: [286] 286,84 unequal: No Solution Exploring Operation: 26-11=15, Resulting Numbers: [15] 15,84 unequal: No Solution Moving to Node #0,3,1 Current State: 84:[80, 43], Operations: ['14+66=80', '54-11=43'] Exploring Operation: 80+43=123, Resulting Numbers: [123] 123,84 unequal: No Solution Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 80*43=3440, Resulting Numbers: [3440] 3440,84 unequal: No Solution Moving to Node #0,3,0 Current State: 84:[54, 91], Operations: ['14+66=80', '11+80=91'] Exploring Operation: 54*91=4914, Resulting Numbers: [4914] 4914,84 unequal: No Solution Exploring Operation: 54+91=145, Resulting Numbers: [145] 145,84 unequal: No Solution Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,84 unequal: No Solution Moving to Node #0,3,2 Current State: 84:[80, 65], Operations: ['14+66=80', '11+54=65'] Exploring Operation: 80*65=5200, Resulting Numbers: [5200] 5200,84 unequal: No Solution Exploring Operation: 80+65=145, Resulting Numbers: [145] 145,84 unequal: No Solution Exploring Operation: 80-65=15, Resulting Numbers: [15] 15,84 unequal: No Solution Moving to Node #0,3,4 Current State: 84:[54, 69], Operations: ['14+66=80', '80-11=69'] Exploring Operation: 69-54=15, Resulting Numbers: [15] 15,84 unequal: No Solution Exploring Operation: 54+69=123, Resulting Numbers: [123] 123,84 unequal: No Solution Exploring Operation: 54*69=3726, Resulting Numbers: [3726] 3726,84 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 Current State: 84:[14, 66, 43], Operations: ['54-11=43'] Exploring Operation: 66-43=23, Resulting Numbers: [14, 23] Generated Node #0,1,0: 84:[14, 23] Operation: 66-43=23 Exploring Operation: 14+66=80, Resulting Numbers: [43, 80] Generated Node #0,1,1: 84:[43, 80] Operation: 14+66=80 Exploring Operation: 43-14=29, Resulting Numbers: [66, 29] Generated Node #0,1,2: 84:[66, 29] Operation: 43-14=29 Exploring Operation: 66+43=109, Resulting Numbers: [14, 109] Generated Node #0,1,3: 84:[14, 109] Operation: 66+43=109 Exploring Operation: 66-14=52, Resulting Numbers: [43, 52] Generated Node #0,1,4: 84:[43, 52] Operation: 66-14=52 Moving to Node #0,1,0 Current State: 84:[14, 23], Operations: ['54-11=43', '66-43=23'] Exploring Operation: 23-14=9, Resulting Numbers: [9] 9,84 unequal: No Solution Exploring Operation: 14+23=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 14*23=322, Resulting Numbers: [322] 322,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[43, 80], Operations: ['54-11=43', '14+66=80'] Exploring Operation: 80-43=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 43*80=3440, Resulting Numbers: [3440] 3440,84 unequal: No Solution Exploring Operation: 43+80=123, Resulting Numbers: [123] 123,84 unequal: No Solution Moving to Node #0,1,4 Current State: 84:[43, 52], Operations: ['54-11=43', '66-14=52'] Exploring Operation: 43+52=95, Resulting Numbers: [95] 95,84 unequal: No Solution Exploring Operation: 43*52=2236, Resulting Numbers: [2236] 2236,84 unequal: No Solution Exploring Operation: 52-43=9, Resulting Numbers: [9] 9,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[66, 29], Operations: ['54-11=43', '43-14=29'] Exploring Operation: 66+29=95, Resulting Numbers: [95] 95,84 unequal: No Solution Exploring Operation: 66*29=1914, Resulting Numbers: [1914] 1914,84 unequal: No Solution Exploring Operation: 66-29=37, Resulting Numbers: [37] 37,84 unequal: No Solution Moving to Node #0,1,3 Current State: 84:[14, 109], Operations: ['54-11=43', '66+43=109'] Exploring Operation: 14*109=1526, Resulting Numbers: [1526] 1526,84 unequal: No Solution Exploring Operation: 14+109=123, Resulting Numbers: [123] 123,84 unequal: No Solution Exploring Operation: 109-14=95, Resulting Numbers: [95] 95,84 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 Current State: 84:[14, 54, 77], Operations: ['11+66=77'] Exploring Operation: 14+77=91, Resulting Numbers: [54, 91] Generated Node #0,2,0: 84:[54, 91] Operation: 14+77=91 Exploring Operation: 54-14=40, Resulting Numbers: [77, 40] Generated Node #0,2,1: 84:[77, 40] Operation: 54-14=40 Exploring Operation: 77-14=63, Resulting Numbers: [54, 63] Generated Node #0,2,2: 84:[54, 63] Operation: 77-14=63 Exploring Operation: 14+54=68, Resulting Numbers: [77, 68] Generated Node #0,2,3: 84:[77, 68] Operation: 14+54=68 Exploring Operation: 77-54=23, Resulting Numbers: [14, 23] Generated Node #0,2,4: 84:[14, 23] Operation: 77-54=23 Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 84:[14, 23], Operations: ['11+66=77', '77-54=23'] Exploring Operation: 14+23=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 23-14=9, Resulting Numbers: [9] 9,84 unequal: No Solution Exploring Operation: 14*23=322, Resulting Numbers: [322] 322,84 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: 84:[77, 40], Operations: ['11+66=77', '54-14=40'] Exploring Operation: 77+40=117, Resulting Numbers: [117] 117,84 unequal: No Solution Exploring Operation: 77*40=3080, Resulting Numbers: [3080] 3080,84 unequal: No Solution Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,84 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: 84:[54, 91], Operations: ['11+66=77', '14+77=91'] Exploring Operation: 91-54=37, Resulting Numbers: [37] 37,84 unequal: No Solution Exploring Operation: 54+91=145, Resulting Numbers: [145] 145,84 unequal: No Solution Exploring Operation: 54*91=4914, Resulting Numbers: [4914] 4914,84 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: 84:[77, 68], Operations: ['11+66=77', '14+54=68'] Exploring Operation: 77*68=5236, Resulting Numbers: [5236] 5236,84 unequal: No Solution Exploring Operation: 77+68=145, Resulting Numbers: [145] 145,84 unequal: No Solution Exploring Operation: 77-68=9, Resulting Numbers: [9] 9,84 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: 84:[54, 63], Operations: ['11+66=77', '77-14=63'] Exploring Operation: 54+63=117, Resulting Numbers: [117] 117,84 unequal: No Solution Exploring Operation: 54*63=3402, Resulting Numbers: [3402] 3402,84 unequal: No Solution Exploring Operation: 63-54=9, Resulting Numbers: [9] 9,84 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
[ 25, 95, 13, 36 ]
98
[ "25-13=12", "36/12=3", "95+3=98" ]
Current State: 98:[25, 95, 13, 36], Operations: [] Exploring Operation: 25-13=12, Resulting Numbers: [95, 36, 12] Generated Node #2: [95, 36, 12] from Operation: 25-13=12 Current State: 98:[95, 36, 12], Operations: ['25-13=12'] Exploring Operation: 36/12=3, Resulting Numbers: [95, 3] Generated Node #3: [95, 3] from Operation: 36/12=3 Current State: 98:[95, 3], Operations: ['25-13=12', '36/12=3'] Exploring Operation: 95+3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[25, 95, 13, 36], Operations: [] Exploring Operation: 25+36=61, Resulting Numbers: [95, 13, 61] Generated Node #0,0: 98:[95, 13, 61] Operation: 25+36=61 Exploring Operation: 13+36=49, Resulting Numbers: [25, 95, 49] Generated Node #0,1: 98:[25, 95, 49] Operation: 13+36=49 Exploring Operation: 36-25=11, Resulting Numbers: [95, 13, 11] Generated Node #0,2: 98:[95, 13, 11] Operation: 36-25=11 Moving to Node #0,2 Current State: 98:[95, 13, 11], Operations: ['36-25=11'] Exploring Operation: 95+11=106, Resulting Numbers: [13, 106] Generated Node #0,2,0: 98:[13, 106] Operation: 95+11=106 Exploring Operation: 95+13=108, Resulting Numbers: [11, 108] Generated Node #0,2,1: 98:[11, 108] Operation: 95+13=108 Exploring Operation: 13-11=2, Resulting Numbers: [95, 2] Generated Node #0,2,2: 98:[95, 2] Operation: 13-11=2 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 98:[95, 2], Operations: ['36-25=11', '13-11=2'] Exploring Operation: 95*2=190, Resulting Numbers: [190] 190,98 unequal: No Solution Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,98 unequal: No Solution Exploring Operation: 95+2=97, Resulting Numbers: [97] 97,98 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: 98:[13, 106], Operations: ['36-25=11', '95+11=106'] Exploring Operation: 13+106=119, Resulting Numbers: [119] 119,98 unequal: No Solution Exploring Operation: 13*106=1378, Resulting Numbers: [1378] 1378,98 unequal: No Solution Exploring Operation: 106-13=93, Resulting Numbers: [93] 93,98 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: 98:[11, 108], Operations: ['36-25=11', '95+13=108'] Exploring Operation: 108-11=97, Resulting Numbers: [97] 97,98 unequal: No Solution Exploring Operation: 11+108=119, Resulting Numbers: [119] 119,98 unequal: No Solution Exploring Operation: 11*108=1188, Resulting Numbers: [1188] 1188,98 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: 98:[25, 95, 49], Operations: ['13+36=49'] Exploring Operation: 95-25=70, Resulting Numbers: [49, 70] Generated Node #0,1,0: 98:[49, 70] Operation: 95-25=70 Exploring Operation: 95-49=46, Resulting Numbers: [25, 46] Generated Node #0,1,1: 98:[25, 46] Operation: 95-49=46 Exploring Operation: 49-25=24, Resulting Numbers: [95, 24] Generated Node #0,1,2: 98:[95, 24] Operation: 49-25=24 Moving to Node #0,0 Current State: 98:[95, 13, 61], Operations: ['25+36=61'] Exploring Operation: 95-61=34, Resulting Numbers: [13, 34] Generated Node #0,0,0: 98:[13, 34] Operation: 95-61=34 Exploring Operation: 61-13=48, Resulting Numbers: [95, 48] Generated Node #0,0,1: 98:[95, 48] Operation: 61-13=48 Exploring Operation: 95+13=108, Resulting Numbers: [61, 108] Generated Node #0,0,2: 98:[61, 108] Operation: 95+13=108 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 98:[95, 48], Operations: ['25+36=61', '61-13=48'] Exploring Operation: 95*48=4560, Resulting Numbers: [4560] 4560,98 unequal: No Solution Exploring Operation: 95-48=47, Resulting Numbers: [47] 47,98 unequal: No Solution Exploring Operation: 95+48=143, Resulting Numbers: [143] 143,98 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: 98:[13, 34], Operations: ['25+36=61', '95-61=34'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,98 unequal: No Solution Exploring Operation: 13*34=442, Resulting Numbers: [442] 442,98 unequal: No Solution Exploring Operation: 13+34=47, Resulting Numbers: [47] 47,98 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: 98:[61, 108], Operations: ['25+36=61', '95+13=108'] Exploring Operation: 108-61=47, Resulting Numbers: [47] 47,98 unequal: No Solution Exploring Operation: 61+108=169, Resulting Numbers: [169] 169,98 unequal: No Solution Exploring Operation: 61*108=6588, Resulting Numbers: [6588] 6588,98 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,2 Current State: 98:[95, 24], Operations: ['13+36=49', '49-25=24'] Exploring Operation: 95+24=119, Resulting Numbers: [119] 119,98 unequal: No Solution Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,98 unequal: No Solution Exploring Operation: 95*24=2280, Resulting Numbers: [2280] 2280,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[25, 46], Operations: ['13+36=49', '95-49=46'] Exploring Operation: 25*46=1150, Resulting Numbers: [1150] 1150,98 unequal: No Solution Exploring Operation: 25+46=71, Resulting Numbers: [71] 71,98 unequal: No Solution Exploring Operation: 46-25=21, Resulting Numbers: [21] 21,98 unequal: No Solution Moving to Node #0,1,0 Current State: 98:[49, 70], Operations: ['13+36=49', '95-25=70'] Exploring Operation: 49+70=119, Resulting Numbers: [119] 119,98 unequal: No Solution Exploring Operation: 49*70=3430, Resulting Numbers: [3430] 3430,98 unequal: No Solution Exploring Operation: 70-49=21, Resulting Numbers: [21] 21,98 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 17, 95, 42, 21 ]
99
[ "95-17=78", "42-21=21", "78+21=99" ]
Current State: 99:[17, 95, 42, 21], Operations: [] Exploring Operation: 95-17=78, Resulting Numbers: [42, 21, 78] Generated Node #2: [42, 21, 78] from Operation: 95-17=78 Current State: 99:[42, 21, 78], Operations: ['95-17=78'] Exploring Operation: 42-21=21, Resulting Numbers: [78, 21] Generated Node #3: [78, 21] from Operation: 42-21=21 Current State: 99:[78, 21], Operations: ['95-17=78', '42-21=21'] Exploring Operation: 78+21=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[17, 95, 42, 21], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [95, 42, 4] Generated Node #0,0: 99:[95, 42, 4] Operation: 21-17=4 Exploring Operation: 42/21=2, Resulting Numbers: [17, 95, 2] Generated Node #0,1: 99:[17, 95, 2] Operation: 42/21=2 Exploring Operation: 42-21=21, Resulting Numbers: [17, 95, 21] Generated Node #0,2: 99:[17, 95, 21] Operation: 42-21=21 Exploring Operation: 17+21=38, Resulting Numbers: [95, 42, 38] Generated Node #0,3: 99:[95, 42, 38] Operation: 17+21=38 Start Sub Search at level 1: Moving to Node #0,1 Current State: 99:[17, 95, 2], Operations: ['42/21=2'] Exploring Operation: 17*2=34, Resulting Numbers: [95, 34] Generated Node #0,1,0: 99:[95, 34] Operation: 17*2=34 Exploring Operation: 17+2=19, Resulting Numbers: [95, 19] Generated Node #0,1,1: 99:[95, 19] Operation: 17+2=19 Exploring Operation: 95+2=97, Resulting Numbers: [17, 97] Generated Node #0,1,2: 99:[17, 97] Operation: 95+2=97 Exploring Operation: 17-2=15, Resulting Numbers: [95, 15] Generated Node #0,1,3: 99:[95, 15] Operation: 17-2=15 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 99:[95, 34], Operations: ['42/21=2', '17*2=34'] Exploring Operation: 95+34=129, Resulting Numbers: [129] 129,99 unequal: No Solution Exploring Operation: 95-34=61, Resulting Numbers: [61] 61,99 unequal: No Solution Exploring Operation: 95*34=3230, Resulting Numbers: [3230] 3230,99 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: 99:[17, 97], Operations: ['42/21=2', '95+2=97'] Exploring Operation: 17+97=114, Resulting Numbers: [114] 114,99 unequal: No Solution Exploring Operation: 17*97=1649, Resulting Numbers: [1649] 1649,99 unequal: No Solution Exploring Operation: 97-17=80, Resulting Numbers: [80] 80,99 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: 99:[95, 15], Operations: ['42/21=2', '17-2=15'] Exploring Operation: 95+15=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 95*15=1425, Resulting Numbers: [1425] 1425,99 unequal: No Solution Exploring Operation: 95-15=80, Resulting Numbers: [80] 80,99 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: 99:[95, 19], Operations: ['42/21=2', '17+2=19'] Exploring Operation: 95/19=5, Resulting Numbers: [5] 5,99 unequal: No Solution Exploring Operation: 95*19=1805, Resulting Numbers: [1805] 1805,99 unequal: No Solution Exploring Operation: 95+19=114, Resulting Numbers: [114] 114,99 unequal: No Solution Exploring Operation: 95-19=76, Resulting Numbers: [76] 76,99 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 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[95, 42, 4], Operations: ['21-17=4'] Exploring Operation: 42+4=46, Resulting Numbers: [95, 46] Generated Node #0,0,0: 99:[95, 46] Operation: 42+4=46 Exploring Operation: 95-4=91, Resulting Numbers: [42, 91] Generated Node #0,0,1: 99:[42, 91] Operation: 95-4=91 Exploring Operation: 42-4=38, Resulting Numbers: [95, 38] Generated Node #0,0,2: 99:[95, 38] Operation: 42-4=38 Exploring Operation: 95+4=99, Resulting Numbers: [42, 99] Generated Node #0,0,3: 99:[42, 99] Operation: 95+4=99 Moving to Node #0,0,2 Current State: 99:[95, 38], Operations: ['21-17=4', '42-4=38'] Exploring Operation: 95+38=133, Resulting Numbers: [133] 133,99 unequal: No Solution Exploring Operation: 95-38=57, Resulting Numbers: [57] 57,99 unequal: No Solution Exploring Operation: 95*38=3610, Resulting Numbers: [3610] 3610,99 unequal: No Solution Moving to Node #0,0,3 Current State: 99:[42, 99], Operations: ['21-17=4', '95+4=99'] Exploring Operation: 42+99=141, Resulting Numbers: [141] 141,99 unequal: No Solution Exploring Operation: 42*99=4158, Resulting Numbers: [4158] 4158,99 unequal: No Solution Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[42, 91], Operations: ['21-17=4', '95-4=91'] Exploring Operation: 91-42=49, Resulting Numbers: [49] 49,99 unequal: No Solution Exploring Operation: 42*91=3822, Resulting Numbers: [3822] 3822,99 unequal: No Solution Exploring Operation: 42+91=133, Resulting Numbers: [133] 133,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[95, 46], Operations: ['21-17=4', '42+4=46'] Exploring Operation: 95-46=49, Resulting Numbers: [49] 49,99 unequal: No Solution Exploring Operation: 95+46=141, Resulting Numbers: [141] 141,99 unequal: No Solution Exploring Operation: 95*46=4370, Resulting Numbers: [4370] 4370,99 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: 99:[95, 42, 38], Operations: ['17+21=38'] Exploring Operation: 95-42=53, Resulting Numbers: [38, 53] Generated Node #0,3,0: 99:[38, 53] Operation: 95-42=53 Exploring Operation: 42-38=4, Resulting Numbers: [95, 4] Generated Node #0,3,1: 99:[95, 4] Operation: 42-38=4 Exploring Operation: 95-38=57, Resulting Numbers: [42, 57] Generated Node #0,3,2: 99:[42, 57] Operation: 95-38=57 Exploring Operation: 42+38=80, Resulting Numbers: [95, 80] Generated Node #0,3,3: 99:[95, 80] Operation: 42+38=80 Moving to Node #0,3,1 Current State: 99:[95, 4], Operations: ['17+21=38', '42-38=4'] Exploring Operation: 95-4=91, Resulting Numbers: [91] 91,99 unequal: No Solution Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[17, 95, 42, 21], Operations: [] Exploring Operation: 17+21=38, Resulting Numbers: [95, 42, 38] Generated Node #0,3: 99:[95, 42, 38] Operation: 17+21=38 Moving to Node #0,3 Current State: 99:[95, 42, 38], Operations: ['17+21=38'] Exploring Operation: 42-38=4, Resulting Numbers: [95, 4] Generated Node #0,3,1: 99:[95, 4] Operation: 42-38=4 Moving to Node #0,3,1 Current State: 99:[95, 4], Operations: ['17+21=38', '42-38=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.959201
hs_4
sum_heuristic
[ 43, 44, 86, 56 ]
57
[ "43+44=87", "86-56=30", "87-30=57" ]
Current State: 57:[43, 44, 86, 56], Operations: [] Exploring Operation: 43+44=87, Resulting Numbers: [86, 56, 87] Generated Node #2: [86, 56, 87] from Operation: 43+44=87 Current State: 57:[86, 56, 87], Operations: ['43+44=87'] Exploring Operation: 86-56=30, Resulting Numbers: [87, 30] Generated Node #3: [87, 30] from Operation: 86-56=30 Current State: 57:[87, 30], Operations: ['43+44=87', '86-56=30'] Exploring Operation: 87-30=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[43, 44, 86, 56], Operations: [] Exploring Operation: 86-43=43, Resulting Numbers: [44, 56, 43] Generated Node #0,0: 57:[44, 56, 43] Operation: 86-43=43 Exploring Operation: 86-44=42, Resulting Numbers: [43, 56, 42] Generated Node #0,1: 57:[43, 56, 42] Operation: 86-44=42 Exploring Operation: 44-43=1, Resulting Numbers: [86, 56, 1] Generated Node #0,2: 57:[86, 56, 1] Operation: 44-43=1 Exploring Operation: 86/43=2, Resulting Numbers: [44, 56, 2] Generated Node #0,3: 57:[44, 56, 2] Operation: 86/43=2 Moving to Node #0,3 Current State: 57:[44, 56, 2], Operations: ['86/43=2'] Exploring Operation: 44/2=22, Resulting Numbers: [56, 22] Generated Node #0,3,0: 57:[56, 22] Operation: 44/2=22 Exploring Operation: 56+2=58, Resulting Numbers: [44, 58] Generated Node #0,3,1: 57:[44, 58] Operation: 56+2=58 Exploring Operation: 44+2=46, Resulting Numbers: [56, 46] Generated Node #0,3,2: 57:[56, 46] Operation: 44+2=46 Exploring Operation: 56-44=12, Resulting Numbers: [2, 12] Generated Node #0,3,3: 57:[2, 12] Operation: 56-44=12 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 57:[56, 22], Operations: ['86/43=2', '44/2=22'] Exploring Operation: 56-22=34, Resulting Numbers: [34] 34,57 unequal: No Solution Exploring Operation: 56+22=78, Resulting Numbers: [78] 78,57 unequal: No Solution Exploring Operation: 56*22=1232, Resulting Numbers: [1232] 1232,57 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 #0,3,3 Current State: 57:[2, 12], Operations: ['86/43=2', '56-44=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,57 unequal: No Solution Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,57 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,57 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 #0,3,2 Current State: 57:[56, 46], Operations: ['86/43=2', '44+2=46'] Exploring Operation: 56+46=102, Resulting Numbers: [102] 102,57 unequal: No Solution Exploring Operation: 56-46=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 56*46=2576, Resulting Numbers: [2576] 2576,57 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 #0,3,1 Current State: 57:[44, 58], Operations: ['86/43=2', '56+2=58'] Exploring Operation: 44+58=102, Resulting Numbers: [102] 102,57 unequal: No Solution Exploring Operation: 44*58=2552, Resulting Numbers: [2552] 2552,57 unequal: No Solution Exploring Operation: 58-44=14, Resulting Numbers: [14] 14,57 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: 57:[44, 56, 43], Operations: ['86-43=43'] Exploring Operation: 44-43=1, Resulting Numbers: [56, 1] Generated Node #0,0,0: 57:[56, 1] Operation: 44-43=1 Exploring Operation: 56-44=12, Resulting Numbers: [43, 12] Generated Node #0,0,1: 57:[43, 12] Operation: 56-44=12 Exploring Operation: 56-43=13, Resulting Numbers: [44, 13] Generated Node #0,0,2: 57:[44, 13] Operation: 56-43=13 Exploring Operation: 44+43=87, Resulting Numbers: [56, 87] Generated Node #0,0,3: 57:[56, 87] Operation: 44+43=87 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 57:[56, 1], Operations: ['86-43=43', '44-43=1'] Exploring Operation: 56-1=55, Resulting Numbers: [55] 55,57 unequal: No Solution Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[43, 44, 86, 56], Operations: [] Exploring Operation: 86-43=43, Resulting Numbers: [44, 56, 43] Generated Node #0,0: 57:[44, 56, 43] Operation: 86-43=43 Moving to Node #0,0 Current State: 57:[44, 56, 43], Operations: ['86-43=43'] Exploring Operation: 44-43=1, Resulting Numbers: [56, 1] Generated Node #0,0,0: 57:[56, 1] Operation: 44-43=1 Moving to Node #0,0,0 Current State: 57:[56, 1], Operations: ['86-43=43', '44-43=1'] Exploring Operation: 56+1=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_4
mult_heuristic
[ 72, 48, 52, 66 ]
21
[ "66-52=14", "72*14=1008", "1008/48=21" ]
Current State: 21:[72, 48, 52, 66], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [72, 48, 14] Generated Node #2: [72, 48, 14] from Operation: 66-52=14 Current State: 21:[72, 48, 14], Operations: ['66-52=14'] Exploring Operation: 72*14=1008, Resulting Numbers: [48, 1008] Generated Node #3: [48, 1008] from Operation: 72*14=1008 Current State: 21:[48, 1008], Operations: ['66-52=14', '72*14=1008'] Exploring Operation: 1008/48=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[72, 48, 52, 66], Operations: [] Exploring Operation: 72-48=24, Resulting Numbers: [52, 66, 24] Generated Node #0,0: 21:[52, 66, 24] Operation: 72-48=24 Exploring Operation: 72-52=20, Resulting Numbers: [48, 66, 20] Generated Node #0,1: 21:[48, 66, 20] Operation: 72-52=20 Exploring Operation: 66-48=18, Resulting Numbers: [72, 52, 18] Generated Node #0,2: 21:[72, 52, 18] Operation: 66-48=18 Exploring Operation: 72-66=6, Resulting Numbers: [48, 52, 6] Generated Node #0,3: 21:[48, 52, 6] Operation: 72-66=6 Moving to Node #0,3 Current State: 21:[48, 52, 6], Operations: ['72-66=6'] Exploring Operation: 52-6=46, Resulting Numbers: [48, 46] Generated Node #0,3,0: 21:[48, 46] Operation: 52-6=46 Exploring Operation: 48-6=42, Resulting Numbers: [52, 42] Generated Node #0,3,1: 21:[52, 42] Operation: 48-6=42 Exploring Operation: 48/6=8, Resulting Numbers: [52, 8] Generated Node #0,3,2: 21:[52, 8] Operation: 48/6=8 Exploring Operation: 52-48=4, Resulting Numbers: [6, 4] Generated Node #0,3,3: 21:[6, 4] Operation: 52-48=4 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 21:[6, 4], Operations: ['72-66=6', '52-48=4'] Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,21 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: 21:[52, 8], Operations: ['72-66=6', '48/6=8'] Exploring Operation: 52*8=416, Resulting Numbers: [416] 416,21 unequal: No Solution Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 52+8=60, Resulting Numbers: [60] 60,21 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: 21:[48, 46], Operations: ['72-66=6', '52-6=46'] Exploring Operation: 48-46=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,21 unequal: No Solution Exploring Operation: 48*46=2208, Resulting Numbers: [2208] 2208,21 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: 21:[52, 42], Operations: ['72-66=6', '48-6=42'] Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 52+42=94, Resulting Numbers: [94] 94,21 unequal: No Solution Exploring Operation: 52*42=2184, Resulting Numbers: [2184] 2184,21 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: 21:[48, 66, 20], Operations: ['72-52=20'] Exploring Operation: 66-48=18, Resulting Numbers: [20, 18] Generated Node #0,1,0: 21:[20, 18] Operation: 66-48=18 Exploring Operation: 66-20=46, Resulting Numbers: [48, 46] Generated Node #0,1,1: 21:[48, 46] Operation: 66-20=46 Exploring Operation: 48-20=28, Resulting Numbers: [66, 28] Generated Node #0,1,2: 21:[66, 28] Operation: 48-20=28 Exploring Operation: 48+20=68, Resulting Numbers: [66, 68] Generated Node #0,1,3: 21:[66, 68] Operation: 48+20=68 Moving to Node #0,0 Current State: 21:[52, 66, 24], Operations: ['72-48=24'] Exploring Operation: 52-24=28, Resulting Numbers: [66, 28] Generated Node #0,0,0: 21:[66, 28] Operation: 52-24=28 Exploring Operation: 66-24=42, Resulting Numbers: [52, 42] Generated Node #0,0,1: 21:[52, 42] Operation: 66-24=42 Exploring Operation: 52+66=118, Resulting Numbers: [24, 118] Generated Node #0,0,2: 21:[24, 118] Operation: 52+66=118 Exploring Operation: 66-52=14, Resulting Numbers: [24, 14] Generated Node #0,0,3: 21:[24, 14] Operation: 66-52=14 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 21:[24, 14], Operations: ['72-48=24', '66-52=14'] Exploring Operation: 24+14=38, Resulting Numbers: [38] 38,21 unequal: No Solution Exploring Operation: 24*14=336, Resulting Numbers: [336] 336,21 unequal: No Solution Exploring Operation: 24-14=10, Resulting Numbers: [10] 10,21 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: 21:[66, 28], Operations: ['72-48=24', '52-24=28'] Exploring Operation: 66+28=94, Resulting Numbers: [94] 94,21 unequal: No Solution Exploring Operation: 66*28=1848, Resulting Numbers: [1848] 1848,21 unequal: No Solution Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,21 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: 21:[52, 42], Operations: ['72-48=24', '66-24=42'] Exploring Operation: 52+42=94, Resulting Numbers: [94] 94,21 unequal: No Solution Exploring Operation: 52-42=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 52*42=2184, Resulting Numbers: [2184] 2184,21 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: 21:[24, 118], Operations: ['72-48=24', '52+66=118'] Exploring Operation: 24*118=2832, Resulting Numbers: [2832] 2832,21 unequal: No Solution Exploring Operation: 24+118=142, Resulting Numbers: [142] 142,21 unequal: No Solution Exploring Operation: 118-24=94, Resulting Numbers: [94] 94,21 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: 21:[72, 52, 18], Operations: ['66-48=18'] Exploring Operation: 72/18=4, Resulting Numbers: [52, 4] Generated Node #0,2,0: 21:[52, 4] Operation: 72/18=4 Exploring Operation: 52-18=34, Resulting Numbers: [72, 34] Generated Node #0,2,1: 21:[72, 34] Operation: 52-18=34 Exploring Operation: 72-18=54, Resulting Numbers: [52, 54] Generated Node #0,2,2: 21:[52, 54] Operation: 72-18=54 Exploring Operation: 72-52=20, Resulting Numbers: [18, 20] Generated Node #0,2,3: 21:[18, 20] Operation: 72-52=20 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 21:[18, 20], Operations: ['66-48=18', '72-52=20'] Exploring Operation: 20-18=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 18+20=38, Resulting Numbers: [38] 38,21 unequal: No Solution Exploring Operation: 18*20=360, Resulting Numbers: [360] 360,21 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: 21:[52, 4], Operations: ['66-48=18', '72/18=4'] Exploring Operation: 52-4=48, Resulting Numbers: [48] 48,21 unequal: No Solution Exploring Operation: 52+4=56, Resulting Numbers: [56] 56,21 unequal: No Solution Exploring Operation: 52*4=208, Resulting Numbers: [208] 208,21 unequal: No Solution Exploring Operation: 52/4=13, Resulting Numbers: [13] 13,21 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: 21:[72, 34], Operations: ['66-48=18', '52-18=34'] Exploring Operation: 72+34=106, Resulting Numbers: [106] 106,21 unequal: No Solution Exploring Operation: 72*34=2448, Resulting Numbers: [2448] 2448,21 unequal: No Solution Exploring Operation: 72-34=38, Resulting Numbers: [38] 38,21 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: 21:[52, 54], Operations: ['66-48=18', '72-18=54'] Exploring Operation: 54-52=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 52*54=2808, Resulting Numbers: [2808] 2808,21 unequal: No Solution Exploring Operation: 52+54=106, Resulting Numbers: [106] 106,21 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: 21:[20, 18], Operations: ['72-52=20', '66-48=18'] Exploring Operation: 20*18=360, Resulting Numbers: [360] 360,21 unequal: No Solution Exploring Operation: 20+18=38, Resulting Numbers: [38] 38,21 unequal: No Solution Exploring Operation: 20-18=2, Resulting Numbers: [2] 2,21 unequal: No Solution Moving to Node #0,1,2 Current State: 21:[66, 28], Operations: ['72-52=20', '48-20=28'] Exploring Operation: 66*28=1848, Resulting Numbers: [1848] 1848,21 unequal: No Solution Exploring Operation: 66-28=38, Resulting Numbers: [38] 38,21 unequal: No Solution Exploring Operation: 66+28=94, Resulting Numbers: [94] 94,21 unequal: No Solution Moving to Node #0,1,1 Current State: 21:[48, 46], Operations: ['72-52=20', '66-20=46'] Exploring Operation: 48*46=2208, Resulting Numbers: [2208] 2208,21 unequal: No Solution Exploring Operation: 48-46=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,21 unequal: No Solution Moving to Node #0,1,3 Current State: 21:[66, 68], Operations: ['72-52=20', '48+20=68'] Exploring Operation: 68-66=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 66+68=134, Resulting Numbers: [134] 134,21 unequal: No Solution Exploring Operation: 66*68=4488, Resulting Numbers: [4488] 4488,21 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 32, 7, 38, 51 ]
51
[ "32+7=39", "39-38=1", "51*1=51" ]
Current State: 51:[32, 7, 38, 51], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [38, 51, 39] Generated Node #2: [38, 51, 39] from Operation: 32+7=39 Current State: 51:[38, 51, 39], Operations: ['32+7=39'] 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: ['32+7=39', '39-38=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[32, 7, 38, 51], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [7, 51, 6] Generated Node #0,0: 51:[7, 51, 6] Operation: 38-32=6 Moving to Node #0,0 Current State: 51:[7, 51, 6], Operations: ['38-32=6'] Exploring Operation: 7-6=1, Resulting Numbers: [51, 1] Generated Node #0,0,0: 51:[51, 1] Operation: 7-6=1 Moving to Node #0,0,0 Current State: 51:[51, 1], Operations: ['38-32=6', '7-6=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[32, 7, 38, 51], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [7, 51, 6] Generated Node #0,0: 51:[7, 51, 6] Operation: 38-32=6 Moving to Node #0,0 Current State: 51:[7, 51, 6], Operations: ['38-32=6'] Exploring Operation: 7-6=1, Resulting Numbers: [51, 1] Generated Node #0,0,0: 51:[51, 1] Operation: 7-6=1 Moving to Node #0,0,0 Current State: 51:[51, 1], Operations: ['38-32=6', '7-6=1'] Exploring Operation: 51*1=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 1, 36, 2, 13 ]
46
[ "1*36=36", "36-13=23", "2*23=46" ]
Current State: 46:[1, 36, 2, 13], Operations: [] Exploring Operation: 1*36=36, Resulting Numbers: [2, 13, 36] Generated Node #2: [2, 13, 36] from Operation: 1*36=36 Current State: 46:[2, 13, 36], Operations: ['1*36=36'] Exploring Operation: 36-13=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 36-13=23 Current State: 46:[2, 23], Operations: ['1*36=36', '36-13=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[1, 36, 2, 13], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [1, 2, 23] Generated Node #0,0: 46:[1, 2, 23] Operation: 36-13=23 Exploring Operation: 36+13=49, Resulting Numbers: [1, 2, 49] Generated Node #0,1: 46:[1, 2, 49] Operation: 36+13=49 Exploring Operation: 36/2=18, Resulting Numbers: [1, 13, 18] Generated Node #0,2: 46:[1, 13, 18] Operation: 36/2=18 Exploring Operation: 1+36=37, Resulting Numbers: [2, 13, 37] Generated Node #0,3: 46:[2, 13, 37] Operation: 1+36=37 Exploring Operation: 2*13=26, Resulting Numbers: [1, 36, 26] Generated Node #0,4: 46:[1, 36, 26] Operation: 2*13=26 Moving to Node #0,0 Current State: 46:[1, 2, 23], Operations: ['36-13=23'] Exploring Operation: 2/1=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 46:[23, 2] Operation: 2/1=2 Exploring Operation: 1*23=23, Resulting Numbers: [2, 23] Generated Node #0,0,1: 46:[2, 23] Operation: 1*23=23 Exploring Operation: 23/1=23, Resulting Numbers: [2, 23] Generated Node #0,0,2: 46:[2, 23] Operation: 23/1=23 Exploring Operation: 1+2=3, Resulting Numbers: [23, 3] Generated Node #0,0,3: 46:[23, 3] Operation: 1+2=3 Exploring Operation: 1*2=2, Resulting Numbers: [23, 2] Generated Node #0,0,4: 46:[23, 2] Operation: 1*2=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 46:[23, 2], Operations: ['36-13=23', '2/1=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[1, 36, 2, 13], Operations: [] Exploring Operation: 36-13=23, Resulting Numbers: [1, 2, 23] Generated Node #0,0: 46:[1, 2, 23] Operation: 36-13=23 Moving to Node #0,0 Current State: 46:[1, 2, 23], Operations: ['36-13=23'] Exploring Operation: 2/1=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 46:[23, 2] Operation: 2/1=2 Moving to Node #0,0,0 Current State: 46:[23, 2], Operations: ['36-13=23', '2/1=2'] Exploring Operation: 23*2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 18, 22, 53, 20 ]
48
[ "22-18=4", "20/4=5", "53-5=48" ]
Current State: 48:[18, 22, 53, 20], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [53, 20, 4] Generated Node #2: [53, 20, 4] from Operation: 22-18=4 Current State: 48:[53, 20, 4], Operations: ['22-18=4'] Exploring Operation: 20/4=5, Resulting Numbers: [53, 5] Generated Node #3: [53, 5] from Operation: 20/4=5 Current State: 48:[53, 5], Operations: ['22-18=4', '20/4=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[18, 22, 53, 20], Operations: [] Exploring Operation: 20-18=2, Resulting Numbers: [22, 53, 2] Generated Node #0,0: 48:[22, 53, 2] Operation: 20-18=2 Exploring Operation: 22-20=2, Resulting Numbers: [18, 53, 2] Generated Node #0,1: 48:[18, 53, 2] Operation: 22-20=2 Exploring Operation: 22-18=4, Resulting Numbers: [53, 20, 4] Generated Node #0,2: 48:[53, 20, 4] Operation: 22-18=4 Exploring Operation: 53-22=31, Resulting Numbers: [18, 20, 31] Generated Node #0,3: 48:[18, 20, 31] Operation: 53-22=31 Moving to Node #0,0 Current State: 48:[22, 53, 2], Operations: ['20-18=2'] Exploring Operation: 53-2=51, Resulting Numbers: [22, 51] Generated Node #0,0,0: 48:[22, 51] Operation: 53-2=51 Exploring Operation: 22/2=11, Resulting Numbers: [53, 11] Generated Node #0,0,1: 48:[53, 11] Operation: 22/2=11 Exploring Operation: 22+2=24, Resulting Numbers: [53, 24] Generated Node #0,0,2: 48:[53, 24] Operation: 22+2=24 Exploring Operation: 53-22=31, Resulting Numbers: [2, 31] Generated Node #0,0,3: 48:[2, 31] Operation: 53-22=31 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 48:[22, 51], Operations: ['20-18=2', '53-2=51'] Exploring Operation: 22+51=73, Resulting Numbers: [73] 73,48 unequal: No Solution Exploring Operation: 22*51=1122, Resulting Numbers: [1122] 1122,48 unequal: No Solution Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,48 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:[53, 24], Operations: ['20-18=2', '22+2=24'] Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,48 unequal: No Solution Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,48 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,48 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:[53, 11], Operations: ['20-18=2', '22/2=11'] Exploring Operation: 53*11=583, Resulting Numbers: [583] 583,48 unequal: No Solution Exploring Operation: 53-11=42, Resulting Numbers: [42] 42,48 unequal: No Solution Exploring Operation: 53+11=64, Resulting Numbers: [64] 64,48 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 #0,0,3 Current State: 48:[2, 31], Operations: ['20-18=2', '53-22=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,48 unequal: No Solution Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,48 unequal: No Solution Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,48 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:[18, 53, 2], Operations: ['22-20=2'] Exploring Operation: 18/2=9, Resulting Numbers: [53, 9] Generated Node #0,1,0: 48:[53, 9] Operation: 18/2=9 Exploring Operation: 53-2=51, Resulting Numbers: [18, 51] Generated Node #0,1,1: 48:[18, 51] Operation: 53-2=51 Exploring Operation: 18+2=20, Resulting Numbers: [53, 20] Generated Node #0,1,2: 48:[53, 20] Operation: 18+2=20 Exploring Operation: 18-2=16, Resulting Numbers: [53, 16] Generated Node #0,1,3: 48:[53, 16] Operation: 18-2=16 Moving to Node #0,2 Current State: 48:[53, 20, 4], Operations: ['22-18=4'] Exploring Operation: 53-4=49, Resulting Numbers: [20, 49] Generated Node #0,2,0: 48:[20, 49] Operation: 53-4=49 Exploring Operation: 20-4=16, Resulting Numbers: [53, 16] Generated Node #0,2,1: 48:[53, 16] Operation: 20-4=16 Exploring Operation: 20+4=24, Resulting Numbers: [53, 24] Generated Node #0,2,2: 48:[53, 24] Operation: 20+4=24 Exploring Operation: 20/4=5, Resulting Numbers: [53, 5] Generated Node #0,2,3: 48:[53, 5] Operation: 20/4=5 Moving to Node #0,3 Current State: 48:[18, 20, 31], Operations: ['53-22=31'] Exploring Operation: 31-18=13, Resulting Numbers: [20, 13] Generated Node #0,3,0: 48:[20, 13] Operation: 31-18=13 Exploring Operation: 20+31=51, Resulting Numbers: [18, 51] Generated Node #0,3,1: 48:[18, 51] Operation: 20+31=51 Exploring Operation: 18+31=49, Resulting Numbers: [20, 49] Generated Node #0,3,2: 48:[20, 49] Operation: 18+31=49 Exploring Operation: 31-20=11, Resulting Numbers: [18, 11] Generated Node #0,3,3: 48:[18, 11] Operation: 31-20=11 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 48:[18, 11], Operations: ['53-22=31', '31-20=11'] Exploring Operation: 18*11=198, Resulting Numbers: [198] 198,48 unequal: No Solution Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,48 unequal: No Solution Exploring Operation: 18+11=29, Resulting Numbers: [29] 29,48 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 #0,3,0 Current State: 48:[20, 13], Operations: ['53-22=31', '31-18=13'] Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,48 unequal: No Solution Exploring Operation: 20*13=260, Resulting Numbers: [260] 260,48 unequal: No Solution Exploring Operation: 20+13=33, Resulting Numbers: [33] 33,48 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 #0,3,1 Current State: 48:[18, 51], Operations: ['53-22=31', '20+31=51'] Exploring Operation: 18*51=918, Resulting Numbers: [918] 918,48 unequal: No Solution Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,48 unequal: No Solution Exploring Operation: 18+51=69, Resulting Numbers: [69] 69,48 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 #0,3,2 Current State: 48:[20, 49], Operations: ['53-22=31', '18+31=49'] Exploring Operation: 20*49=980, Resulting Numbers: [980] 980,48 unequal: No Solution Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,48 unequal: No Solution Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,48 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 48:[18, 51], Operations: ['22-20=2', '53-2=51'] Exploring Operation: 18+51=69, Resulting Numbers: [69] 69,48 unequal: No Solution Exploring Operation: 51-18=33, Resulting Numbers: [33] 33,48 unequal: No Solution Exploring Operation: 18*51=918, Resulting Numbers: [918] 918,48 unequal: No Solution Moving to Node #0,2,1 Current State: 48:[53, 16], Operations: ['22-18=4', '20-4=16'] Exploring Operation: 53*16=848, Resulting Numbers: [848] 848,48 unequal: No Solution Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,48 unequal: No Solution Exploring Operation: 53+16=69, Resulting Numbers: [69] 69,48 unequal: No Solution Moving to Node #0,2,2 Current State: 48:[53, 24], Operations: ['22-18=4', '20+4=24'] Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,48 unequal: No Solution Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,48 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,48 unequal: No Solution Moving to Node #0,1,3 Current State: 48:[53, 16], Operations: ['22-20=2', '18-2=16'] Exploring Operation: 53*16=848, Resulting Numbers: [848] 848,48 unequal: No Solution Exploring Operation: 53-16=37, Resulting Numbers: [37] 37,48 unequal: No Solution Exploring Operation: 53+16=69, Resulting Numbers: [69] 69,48 unequal: No Solution Moving to Node #0,2,0 Current State: 48:[20, 49], Operations: ['22-18=4', '53-4=49'] Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,48 unequal: No Solution Exploring Operation: 20+49=69, Resulting Numbers: [69] 69,48 unequal: No Solution Exploring Operation: 20*49=980, Resulting Numbers: [980] 980,48 unequal: No Solution Moving to Node #0,1,0 Current State: 48:[53, 9], Operations: ['22-20=2', '18/2=9'] Exploring Operation: 53+9=62, Resulting Numbers: [62] 62,48 unequal: No Solution Exploring Operation: 53*9=477, Resulting Numbers: [477] 477,48 unequal: No Solution Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,48 unequal: No Solution Moving to Node #0,2,3 Current State: 48:[53, 5], Operations: ['22-18=4', '20/4=5'] Exploring Operation: 53*5=265, Resulting Numbers: [265] 265,48 unequal: No Solution Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[18, 22, 53, 20], Operations: [] Exploring Operation: 22-18=4, Resulting Numbers: [53, 20, 4] Generated Node #0,2: 48:[53, 20, 4] Operation: 22-18=4 Moving to Node #0,2 Current State: 48:[53, 20, 4], Operations: ['22-18=4'] Exploring Operation: 20/4=5, Resulting Numbers: [53, 5] Generated Node #0,2,3: 48:[53, 5] Operation: 20/4=5 Moving to Node #0,2,3 Current State: 48:[53, 5], Operations: ['22-18=4', '20/4=5'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
0.940972
hs_4
sum_heuristic
[ 9, 93, 12, 62 ]
69
[ "93-9=84", "84/12=7", "62+7=69" ]
Current State: 69:[9, 93, 12, 62], Operations: [] Exploring Operation: 93-9=84, Resulting Numbers: [12, 62, 84] Generated Node #2: [12, 62, 84] from Operation: 93-9=84 Current State: 69:[12, 62, 84], Operations: ['93-9=84'] Exploring Operation: 84/12=7, Resulting Numbers: [62, 7] Generated Node #3: [62, 7] from Operation: 84/12=7 Current State: 69:[62, 7], Operations: ['93-9=84', '84/12=7'] Exploring Operation: 62+7=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[9, 93, 12, 62], Operations: [] Exploring Operation: 93-62=31, Resulting Numbers: [9, 12, 31] Generated Node #0,0: 69:[9, 12, 31] Operation: 93-62=31 Exploring Operation: 93-12=81, Resulting Numbers: [9, 62, 81] Generated Node #0,1: 69:[9, 62, 81] Operation: 93-12=81 Moving to Node #0,0 Current State: 69:[9, 12, 31], Operations: ['93-62=31'] Exploring Operation: 9+12=21, Resulting Numbers: [31, 21] Generated Node #0,0,0: 69:[31, 21] Operation: 9+12=21 Exploring Operation: 12-9=3, Resulting Numbers: [31, 3] Generated Node #0,0,1: 69:[31, 3] Operation: 12-9=3 Moving to Node #0,1 Current State: 69:[9, 62, 81], Operations: ['93-12=81'] Exploring Operation: 81-62=19, Resulting Numbers: [9, 19] Generated Node #0,1,0: 69:[9, 19] Operation: 81-62=19 Exploring Operation: 81-9=72, Resulting Numbers: [62, 72] Generated Node #0,1,1: 69:[62, 72] Operation: 81-9=72 Moving to Node #0,0,1 Current State: 69:[31, 3], Operations: ['93-62=31', '12-9=3'] Exploring Operation: 31+3=34, Resulting Numbers: [34] 34,69 unequal: No Solution Exploring Operation: 31-3=28, Resulting Numbers: [28] 28,69 unequal: No Solution Moving to Node #0,1,0 Current State: 69:[9, 19], Operations: ['93-12=81', '81-62=19'] Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,69 unequal: No Solution Exploring Operation: 9+19=28, Resulting Numbers: [28] 28,69 unequal: No Solution Moving to Node #0,0,0 Current State: 69:[31, 21], Operations: ['93-62=31', '9+12=21'] Exploring Operation: 31+21=52, Resulting Numbers: [52] 52,69 unequal: No Solution Exploring Operation: 31-21=10, Resulting Numbers: [10] 10,69 unequal: No Solution Moving to Node #0,1,1 Current State: 69:[62, 72], Operations: ['93-12=81', '81-9=72'] Exploring Operation: 62+72=134, Resulting Numbers: [134] 134,69 unequal: No Solution Exploring Operation: 72-62=10, Resulting Numbers: [10] 10,69 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 14, 26, 74, 4 ]
10
[ "14-4=10", "26+74=100", "100/10=10" ]
Current State: 10:[14, 26, 74, 4], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [26, 74, 10] Generated Node #2: [26, 74, 10] from Operation: 14-4=10 Current State: 10:[26, 74, 10], Operations: ['14-4=10'] Exploring Operation: 26+74=100, Resulting Numbers: [10, 100] Generated Node #3: [10, 100] from Operation: 26+74=100 Current State: 10:[10, 100], Operations: ['14-4=10', '26+74=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[14, 26, 74, 4], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [26, 74, 10] Generated Node #0,0: 10:[26, 74, 10] Operation: 14-4=10 Exploring Operation: 74-14=60, Resulting Numbers: [26, 4, 60] Generated Node #0,1: 10:[26, 4, 60] Operation: 74-14=60 Exploring Operation: 26-14=12, Resulting Numbers: [74, 4, 12] Generated Node #0,2: 10:[74, 4, 12] Operation: 26-14=12 Exploring Operation: 74-26=48, Resulting Numbers: [14, 4, 48] Generated Node #0,3: 10:[14, 4, 48] Operation: 74-26=48 Moving to Node #0,3 Current State: 10:[14, 4, 48], Operations: ['74-26=48'] Exploring Operation: 48/4=12, Resulting Numbers: [14, 12] Generated Node #0,3,0: 10:[14, 12] Operation: 48/4=12 Exploring Operation: 14-4=10, Resulting Numbers: [48, 10] Generated Node #0,3,1: 10:[48, 10] Operation: 14-4=10 Exploring Operation: 48-4=44, Resulting Numbers: [14, 44] Generated Node #0,3,2: 10:[14, 44] Operation: 48-4=44 Exploring Operation: 48-14=34, Resulting Numbers: [4, 34] Generated Node #0,3,3: 10:[4, 34] Operation: 48-14=34 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 10:[14, 12], Operations: ['74-26=48', '48/4=12'] Exploring Operation: 14+12=26, Resulting Numbers: [26] 26,10 unequal: No Solution Exploring Operation: 14*12=168, Resulting Numbers: [168] 168,10 unequal: No Solution Exploring Operation: 14-12=2, Resulting Numbers: [2] 2,10 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: 10:[4, 34], Operations: ['74-26=48', '48-14=34'] Exploring Operation: 4*34=136, Resulting Numbers: [136] 136,10 unequal: No Solution Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,10 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: 10:[48, 10], Operations: ['74-26=48', '14-4=10'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 48*10=480, Resulting Numbers: [480] 480,10 unequal: No Solution Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,10 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: 10:[14, 44], Operations: ['74-26=48', '48-4=44'] Exploring Operation: 14*44=616, Resulting Numbers: [616] 616,10 unequal: No Solution Exploring Operation: 14+44=58, Resulting Numbers: [58] 58,10 unequal: No Solution Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,10 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: 10:[74, 4, 12], Operations: ['26-14=12'] Exploring Operation: 12-4=8, Resulting Numbers: [74, 8] Generated Node #0,2,0: 10:[74, 8] Operation: 12-4=8 Exploring Operation: 74-12=62, Resulting Numbers: [4, 62] Generated Node #0,2,1: 10:[4, 62] Operation: 74-12=62 Exploring Operation: 12/4=3, Resulting Numbers: [74, 3] Generated Node #0,2,2: 10:[74, 3] Operation: 12/4=3 Exploring Operation: 74-4=70, Resulting Numbers: [12, 70] Generated Node #0,2,3: 10:[12, 70] Operation: 74-4=70 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 10:[4, 62], Operations: ['26-14=12', '74-12=62'] Exploring Operation: 4*62=248, Resulting Numbers: [248] 248,10 unequal: No Solution Exploring Operation: 4+62=66, Resulting Numbers: [66] 66,10 unequal: No Solution Exploring Operation: 62-4=58, Resulting Numbers: [58] 58,10 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: 10:[12, 70], Operations: ['26-14=12', '74-4=70'] Exploring Operation: 12+70=82, Resulting Numbers: [82] 82,10 unequal: No Solution Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,10 unequal: No Solution Exploring Operation: 12*70=840, Resulting Numbers: [840] 840,10 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: 10:[74, 3], Operations: ['26-14=12', '12/4=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,10 unequal: No Solution Exploring Operation: 74*3=222, Resulting Numbers: [222] 222,10 unequal: No Solution Exploring Operation: 74+3=77, Resulting Numbers: [77] 77,10 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: 10:[74, 8], Operations: ['26-14=12', '12-4=8'] Exploring Operation: 74+8=82, Resulting Numbers: [82] 82,10 unequal: No Solution Exploring Operation: 74*8=592, Resulting Numbers: [592] 592,10 unequal: No Solution Exploring Operation: 74-8=66, Resulting Numbers: [66] 66,10 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: 10:[26, 4, 60], Operations: ['74-14=60'] Exploring Operation: 26-4=22, Resulting Numbers: [60, 22] Generated Node #0,1,0: 10:[60, 22] Operation: 26-4=22 Exploring Operation: 60-26=34, Resulting Numbers: [4, 34] Generated Node #0,1,1: 10:[4, 34] Operation: 60-26=34 Exploring Operation: 60-4=56, Resulting Numbers: [26, 56] Generated Node #0,1,2: 10:[26, 56] Operation: 60-4=56 Exploring Operation: 60/4=15, Resulting Numbers: [26, 15] Generated Node #0,1,3: 10:[26, 15] Operation: 60/4=15 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 10:[26, 15], Operations: ['74-14=60', '60/4=15'] Exploring Operation: 26*15=390, Resulting Numbers: [390] 390,10 unequal: No Solution Exploring Operation: 26+15=41, Resulting Numbers: [41] 41,10 unequal: No Solution Exploring Operation: 26-15=11, Resulting Numbers: [11] 11,10 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: 10:[4, 34], Operations: ['74-14=60', '60-26=34'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,10 unequal: No Solution Exploring Operation: 4+34=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 4*34=136, Resulting Numbers: [136] 136,10 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: 10:[60, 22], Operations: ['74-14=60', '26-4=22'] Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 60*22=1320, Resulting Numbers: [1320] 1320,10 unequal: No Solution Exploring Operation: 60+22=82, Resulting Numbers: [82] 82,10 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: 10:[26, 56], Operations: ['74-14=60', '60-4=56'] Exploring Operation: 26+56=82, Resulting Numbers: [82] 82,10 unequal: No Solution Exploring Operation: 26*56=1456, Resulting Numbers: [1456] 1456,10 unequal: No Solution Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,10 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: 10:[26, 74, 10], Operations: ['14-4=10'] Exploring Operation: 26+74=100, Resulting Numbers: [10, 100] Generated Node #0,0,0: 10:[10, 100] Operation: 26+74=100 Exploring Operation: 74-26=48, Resulting Numbers: [10, 48] Generated Node #0,0,1: 10:[10, 48] Operation: 74-26=48 Exploring Operation: 74-10=64, Resulting Numbers: [26, 64] Generated Node #0,0,2: 10:[26, 64] Operation: 74-10=64 Exploring Operation: 26-10=16, Resulting Numbers: [74, 16] Generated Node #0,0,3: 10:[74, 16] Operation: 26-10=16 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 10:[10, 48], Operations: ['14-4=10', '74-26=48'] Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 10+48=58, Resulting Numbers: [58] 58,10 unequal: No Solution Exploring Operation: 10*48=480, Resulting Numbers: [480] 480,10 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: 10:[26, 64], Operations: ['14-4=10', '74-10=64'] Exploring Operation: 26+64=90, Resulting Numbers: [90] 90,10 unequal: No Solution Exploring Operation: 64-26=38, Resulting Numbers: [38] 38,10 unequal: No Solution Exploring Operation: 26*64=1664, Resulting Numbers: [1664] 1664,10 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: 10:[74, 16], Operations: ['14-4=10', '26-10=16'] Exploring Operation: 74-16=58, Resulting Numbers: [58] 58,10 unequal: No Solution Exploring Operation: 74+16=90, Resulting Numbers: [90] 90,10 unequal: No Solution Exploring Operation: 74*16=1184, Resulting Numbers: [1184] 1184,10 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: 10:[10, 100], Operations: ['14-4=10', '26+74=100'] Exploring Operation: 10*100=1000, Resulting Numbers: [1000] 1000,10 unequal: No Solution Exploring Operation: 10+100=110, Resulting Numbers: [110] 110,10 unequal: No Solution Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[14, 26, 74, 4], Operations: [] Exploring Operation: 14-4=10, Resulting Numbers: [26, 74, 10] Generated Node #0,0: 10:[26, 74, 10] Operation: 14-4=10 Moving to Node #0,0 Current State: 10:[26, 74, 10], Operations: ['14-4=10'] Exploring Operation: 26+74=100, Resulting Numbers: [10, 100] Generated Node #0,0,0: 10:[10, 100] Operation: 26+74=100 Moving to Node #0,0,0 Current State: 10:[10, 100], Operations: ['14-4=10', '26+74=100'] Exploring Operation: 100/10=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 1
0.9375
hs_4
sum_heuristic
[ 12, 9, 50, 18 ]
15
[ "12+18=30", "9*50=450", "450/30=15" ]
Current State: 15:[12, 9, 50, 18], Operations: [] Exploring Operation: 12+18=30, Resulting Numbers: [9, 50, 30] Generated Node #2: [9, 50, 30] from Operation: 12+18=30 Current State: 15:[9, 50, 30], Operations: ['12+18=30'] Exploring Operation: 9*50=450, Resulting Numbers: [30, 450] Generated Node #3: [30, 450] from Operation: 9*50=450 Current State: 15:[30, 450], Operations: ['12+18=30', '9*50=450'] Exploring Operation: 450/30=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[12, 9, 50, 18], Operations: [] Exploring Operation: 50-18=32, Resulting Numbers: [12, 9, 32] Generated Node #0,0: 15:[12, 9, 32] Operation: 50-18=32 Exploring Operation: 50-12=38, Resulting Numbers: [9, 18, 38] Generated Node #0,1: 15:[9, 18, 38] Operation: 50-12=38 Exploring Operation: 50-9=41, Resulting Numbers: [12, 18, 41] Generated Node #0,2: 15:[12, 18, 41] Operation: 50-9=41 Moving to Node #0,0 Current State: 15:[12, 9, 32], Operations: ['50-18=32'] Exploring Operation: 32-12=20, Resulting Numbers: [9, 20] Generated Node #0,0,0: 15:[9, 20] Operation: 32-12=20 Exploring Operation: 12-9=3, Resulting Numbers: [32, 3] Generated Node #0,0,1: 15:[32, 3] Operation: 12-9=3 Exploring Operation: 32-9=23, Resulting Numbers: [12, 23] Generated Node #0,0,2: 15:[12, 23] Operation: 32-9=23 Moving to Node #0,1 Current State: 15:[9, 18, 38], Operations: ['50-12=38'] Exploring Operation: 38-18=20, Resulting Numbers: [9, 20] Generated Node #0,1,0: 15:[9, 20] Operation: 38-18=20 Exploring Operation: 38-9=29, Resulting Numbers: [18, 29] Generated Node #0,1,1: 15:[18, 29] Operation: 38-9=29 Exploring Operation: 18/9=2, Resulting Numbers: [38, 2] Generated Node #0,1,2: 15:[38, 2] Operation: 18/9=2 Moving to Node #0,2 Current State: 15:[12, 18, 41], Operations: ['50-9=41'] Exploring Operation: 41-18=23, Resulting Numbers: [12, 23] Generated Node #0,2,0: 15:[12, 23] Operation: 41-18=23 Exploring Operation: 18-12=6, Resulting Numbers: [41, 6] Generated Node #0,2,1: 15:[41, 6] Operation: 18-12=6 Exploring Operation: 41-12=29, Resulting Numbers: [18, 29] Generated Node #0,2,2: 15:[18, 29] Operation: 41-12=29 Moving to Node #0,0,0 Current State: 15:[9, 20], Operations: ['50-18=32', '32-12=20'] Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 9*20=180, Resulting Numbers: [180] 180,15 unequal: No Solution Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[9, 20], Operations: ['50-12=38', '38-18=20'] Exploring Operation: 9+20=29, Resulting Numbers: [29] 29,15 unequal: No Solution Exploring Operation: 20-9=11, Resulting Numbers: [11] 11,15 unequal: No Solution Exploring Operation: 9*20=180, Resulting Numbers: [180] 180,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[12, 23], Operations: ['50-9=41', '41-18=23'] Exploring Operation: 12*23=276, Resulting Numbers: [276] 276,15 unequal: No Solution Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,15 unequal: No Solution Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,0,2 Current State: 15:[12, 23], Operations: ['50-18=32', '32-9=23'] Exploring Operation: 12*23=276, Resulting Numbers: [276] 276,15 unequal: No Solution Exploring Operation: 12+23=35, Resulting Numbers: [35] 35,15 unequal: No Solution Exploring Operation: 23-12=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,0,1 Current State: 15:[32, 3], Operations: ['50-18=32', '12-9=3'] Exploring Operation: 32+3=35, Resulting Numbers: [35] 35,15 unequal: No Solution Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,15 unequal: No Solution Exploring Operation: 32-3=29, Resulting Numbers: [29] 29,15 unequal: No Solution Moving to Node #0,1,1 Current State: 15:[18, 29], Operations: ['50-12=38', '38-9=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 18*29=522, Resulting Numbers: [522] 522,15 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,2,2 Current State: 15:[18, 29], Operations: ['50-9=41', '41-12=29'] Exploring Operation: 18+29=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 18*29=522, Resulting Numbers: [522] 522,15 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[38, 2], Operations: ['50-12=38', '18/9=2'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,15 unequal: No Solution Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,15 unequal: No Solution Exploring Operation: 38+2=40, Resulting Numbers: [40] 40,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[41, 6], Operations: ['50-9=41', '18-12=6'] Exploring Operation: 41*6=246, Resulting Numbers: [246] 246,15 unequal: No Solution Exploring Operation: 41+6=47, Resulting Numbers: [47] 47,15 unequal: No Solution Exploring Operation: 41-6=35, Resulting Numbers: [35] 35,15 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 94, 55, 40, 61 ]
61
[ "94-55=39", "40-39=1", "61*1=61" ]
Current State: 61:[94, 55, 40, 61], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [40, 61, 39] Generated Node #2: [40, 61, 39] from Operation: 94-55=39 Current State: 61:[40, 61, 39], Operations: ['94-55=39'] Exploring Operation: 40-39=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 40-39=1 Current State: 61:[61, 1], Operations: ['94-55=39', '40-39=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[94, 55, 40, 61], Operations: [] Exploring Operation: 94-55=39, Resulting Numbers: [40, 61, 39] Generated Node #0,0: 61:[40, 61, 39] Operation: 94-55=39 Exploring Operation: 94-40=54, Resulting Numbers: [55, 61, 54] Generated Node #0,1: 61:[55, 61, 54] Operation: 94-40=54 Moving to Node #0,1 Current State: 61:[55, 61, 54], Operations: ['94-40=54'] Exploring Operation: 55+54=109, Resulting Numbers: [61, 109] Generated Node #0,1,0: 61:[61, 109] Operation: 55+54=109 Exploring Operation: 55-54=1, Resulting Numbers: [61, 1] Generated Node #0,1,1: 61:[61, 1] Operation: 55-54=1 Moving to Node #0,0 Current State: 61:[40, 61, 39], Operations: ['94-55=39'] Exploring Operation: 40-39=1, Resulting Numbers: [61, 1] Generated Node #0,0,0: 61:[61, 1] Operation: 40-39=1 Exploring Operation: 40+39=79, Resulting Numbers: [61, 79] Generated Node #0,0,1: 61:[61, 79] Operation: 40+39=79 Moving to Node #0,0,1 Current State: 61:[61, 79], Operations: ['94-55=39', '40+39=79'] Exploring Operation: 61+79=140, Resulting Numbers: [140] 140,61 unequal: No Solution Exploring Operation: 79-61=18, Resulting Numbers: [18] 18,61 unequal: No Solution Moving to Node #0,1,0 Current State: 61:[61, 109], Operations: ['94-40=54', '55+54=109'] Exploring Operation: 109-61=48, Resulting Numbers: [48] 48,61 unequal: No Solution Exploring Operation: 61+109=170, Resulting Numbers: [170] 170,61 unequal: No Solution Moving to Node #0,1,1 Current State: 61:[61, 1], Operations: ['94-40=54', '55-54=1'] Exploring Operation: 61/1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[94, 55, 40, 61], Operations: [] Exploring Operation: 94-40=54, Resulting Numbers: [55, 61, 54] Generated Node #0,1: 61:[55, 61, 54] Operation: 94-40=54 Moving to Node #0,1 Current State: 61:[55, 61, 54], Operations: ['94-40=54'] Exploring Operation: 55-54=1, Resulting Numbers: [61, 1] Generated Node #0,1,1: 61:[61, 1] Operation: 55-54=1 Moving to Node #0,1,1 Current State: 61:[61, 1], Operations: ['94-40=54', '55-54=1'] Exploring Operation: 61/1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
0.986979
hs_2
mult_heuristic
[ 4, 93, 53, 81 ]
45
[ "93-4=89", "53+81=134", "134-89=45" ]
Current State: 45:[4, 93, 53, 81], Operations: [] Exploring Operation: 93-4=89, Resulting Numbers: [53, 81, 89] Generated Node #2: [53, 81, 89] from Operation: 93-4=89 Current State: 45:[53, 81, 89], Operations: ['93-4=89'] Exploring Operation: 53+81=134, Resulting Numbers: [89, 134] Generated Node #3: [89, 134] from Operation: 53+81=134 Current State: 45:[89, 134], Operations: ['93-4=89', '53+81=134'] Exploring Operation: 134-89=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
Current State: 45:[4, 93, 53, 81], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [4, 53, 12] Generated Node #0,0: 45:[4, 53, 12] Operation: 93-81=12 Moving to Node #0,0 Current State: 45:[4, 53, 12], Operations: ['93-81=12'] Exploring Operation: 53-12=41, Resulting Numbers: [4, 41] Generated Node #0,0,0: 45:[4, 41] Operation: 53-12=41 Moving to Node #0,0,0 Current State: 45:[4, 41], Operations: ['93-81=12', '53-12=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached Moving to Node #0 Current State: 45:[4, 93, 53, 81], Operations: [] Exploring Operation: 93-81=12, Resulting Numbers: [4, 53, 12] Generated Node #0,0: 45:[4, 53, 12] Operation: 93-81=12 Moving to Node #0,0 Current State: 45:[4, 53, 12], Operations: ['93-81=12'] Exploring Operation: 53-12=41, Resulting Numbers: [4, 41] Generated Node #0,0,0: 45:[4, 41] Operation: 53-12=41 Moving to Node #0,0,0 Current State: 45:[4, 41], Operations: ['93-81=12', '53-12=41'] Exploring Operation: 4+41=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
0.993924
hs_1
mult_heuristic
[ 59, 25, 55, 57 ]
15
[ "59-57=2", "55-25=30", "30/2=15" ]
Current State: 15:[59, 25, 55, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [25, 55, 2] Generated Node #2: [25, 55, 2] from Operation: 59-57=2 Current State: 15:[25, 55, 2], Operations: ['59-57=2'] Exploring Operation: 55-25=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 55-25=30 Current State: 15:[2, 30], Operations: ['59-57=2', '55-25=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[59, 25, 55, 57], Operations: [] Exploring Operation: 59-55=4, Resulting Numbers: [25, 57, 4] Generated Node #0,0: 15:[25, 57, 4] Operation: 59-55=4 Exploring Operation: 59-57=2, Resulting Numbers: [25, 55, 2] Generated Node #0,1: 15:[25, 55, 2] Operation: 59-57=2 Start Sub Search at level 1: Moving to Node #0,1 Current State: 15:[25, 55, 2], Operations: ['59-57=2'] Exploring Operation: 25-2=23, Resulting Numbers: [55, 23] Generated Node #0,1,0: 15:[55, 23] Operation: 25-2=23 Exploring Operation: 55-25=30, Resulting Numbers: [2, 30] Generated Node #0,1,1: 15:[2, 30] Operation: 55-25=30 Moving to Node #0,1,1 Current State: 15:[2, 30], Operations: ['59-57=2', '55-25=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Moving to Node #0 Current State: 15:[59, 25, 55, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [25, 55, 2] Generated Node #0,1: 15:[25, 55, 2] Operation: 59-57=2 Moving to Node #0,1 Current State: 15:[25, 55, 2], Operations: ['59-57=2'] Exploring Operation: 55-25=30, Resulting Numbers: [2, 30] Generated Node #0,1,1: 15:[2, 30] Operation: 55-25=30 Moving to Node #0,1,1 Current State: 15:[2, 30], Operations: ['59-57=2', '55-25=30'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 66, 68, 14, 41 ]
64
[ "68+14=82", "82/41=2", "66-2=64" ]
Current State: 64:[66, 68, 14, 41], Operations: [] Exploring Operation: 68+14=82, Resulting Numbers: [66, 41, 82] Generated Node #2: [66, 41, 82] from Operation: 68+14=82 Current State: 64:[66, 41, 82], Operations: ['68+14=82'] Exploring Operation: 82/41=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 82/41=2 Current State: 64:[66, 2], Operations: ['68+14=82', '82/41=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[66, 68, 14, 41], Operations: [] Exploring Operation: 68-41=27, Resulting Numbers: [66, 14, 27] Generated Node #0,0: 64:[66, 14, 27] Operation: 68-41=27 Moving to Node #0,0 Current State: 64:[66, 14, 27], Operations: ['68-41=27'] Exploring Operation: 27-14=13, Resulting Numbers: [66, 13] Generated Node #0,0,0: 64:[66, 13] Operation: 27-14=13 Moving to Node #0,0,0 Current State: 64:[66, 13], Operations: ['68-41=27', '27-14=13'] Exploring Operation: 66-13=53, Resulting Numbers: [53] 53,64 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 41, 10, 86, 9 ]
64
[ "41-10=31", "86+9=95", "95-31=64" ]
Current State: 64:[41, 10, 86, 9], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [86, 9, 31] Generated Node #2: [86, 9, 31] from Operation: 41-10=31 Current State: 64:[86, 9, 31], Operations: ['41-10=31'] Exploring Operation: 86+9=95, Resulting Numbers: [31, 95] Generated Node #3: [31, 95] from Operation: 86+9=95 Current State: 64:[31, 95], Operations: ['41-10=31', '86+9=95'] Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[41, 10, 86, 9], Operations: [] Exploring Operation: 86-41=45, Resulting Numbers: [10, 9, 45] Generated Node #0,0: 64:[10, 9, 45] Operation: 86-41=45 Moving to Node #0,0 Current State: 64:[10, 9, 45], Operations: ['86-41=45'] Exploring Operation: 45/9=5, Resulting Numbers: [10, 5] Generated Node #0,0,0: 64:[10, 5] Operation: 45/9=5 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 64:[10, 5], Operations: ['86-41=45', '45/9=5'] Exploring Operation: 10/5=2, Resulting Numbers: [2] 2,64 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
[ 66, 77, 63, 11 ]
84
[ "66/11=6", "77-63=14", "6*14=84" ]
Current State: 84:[66, 77, 63, 11], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [77, 63, 6] Generated Node #2: [77, 63, 6] from Operation: 66/11=6 Current State: 84:[77, 63, 6], Operations: ['66/11=6'] Exploring Operation: 77-63=14, Resulting Numbers: [6, 14] Generated Node #3: [6, 14] from Operation: 77-63=14 Current State: 84:[6, 14], Operations: ['66/11=6', '77-63=14'] Exploring Operation: 6*14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[66, 77, 63, 11], Operations: [] Exploring Operation: 66-63=3, Resulting Numbers: [77, 11, 3] Generated Node #0,0: 84:[77, 11, 3] Operation: 66-63=3 Exploring Operation: 77-63=14, Resulting Numbers: [66, 11, 14] Generated Node #0,1: 84:[66, 11, 14] Operation: 77-63=14 Start Sub Search at level 1: Moving to Node #0,0 Current State: 84:[77, 11, 3], Operations: ['66-63=3'] Exploring Operation: 77+11=88, Resulting Numbers: [3, 88] Generated Node #0,0,0: 84:[3, 88] Operation: 77+11=88 Exploring Operation: 77/11=7, Resulting Numbers: [3, 7] Generated Node #0,0,1: 84:[3, 7] Operation: 77/11=7 Moving to Node #0,0,1 Current State: 84:[3, 7], Operations: ['66-63=3', '77/11=7'] Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,84 unequal: No Solution Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[3, 88], Operations: ['66-63=3', '77+11=88'] Exploring Operation: 3+88=91, Resulting Numbers: [91] 91,84 unequal: No Solution Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,84 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 Current State: 84:[66, 11, 14], Operations: ['77-63=14'] Exploring Operation: 66/11=6, Resulting Numbers: [14, 6] Generated Node #0,1,0: 84:[14, 6] Operation: 66/11=6 Exploring Operation: 66+14=80, Resulting Numbers: [11, 80] Generated Node #0,1,1: 84:[11, 80] Operation: 66+14=80 Moving to Node #0,1,0 Current State: 84:[14, 6], Operations: ['77-63=14', '66/11=6'] Exploring Operation: 14+6=20, Resulting Numbers: [20] 20,84 unequal: No Solution Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Moving to Node #0 Current State: 84:[66, 77, 63, 11], Operations: [] Exploring Operation: 77-63=14, Resulting Numbers: [66, 11, 14] Generated Node #0,1: 84:[66, 11, 14] Operation: 77-63=14 Moving to Node #0,1 Current State: 84:[66, 11, 14], Operations: ['77-63=14'] Exploring Operation: 66/11=6, Resulting Numbers: [14, 6] Generated Node #0,1,0: 84:[14, 6] Operation: 66/11=6 Moving to Node #0,1,0 Current State: 84:[14, 6], Operations: ['77-63=14', '66/11=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic