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
[ 26, 33, 42, 13 ]
73
[ "26/13=2", "33+42=75", "75-2=73" ]
Current State: 73:[26, 33, 42, 13], Operations: [] Exploring Operation: 26/13=2, Resulting Numbers: [33, 42, 2] Generated Node #2: [33, 42, 2] from Operation: 26/13=2 Current State: 73:[33, 42, 2], Operations: ['26/13=2'] Exploring Operation: 33+42=75, Resulting Numbers: [2, 75] Generated Node #3: [2, 75] from Operation: 33+42=75 Current State: 73:[2, 75], Operations: ['26/13=2', '33+42=75'] Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[26, 33, 42, 13], Operations: [] Exploring Operation: 26+42=68, Resulting Numbers: [33, 13, 68] Generated Node #0,0: 73:[33, 13, 68] Operation: 26+42=68 Exploring Operation: 26+13=39, Resulting Numbers: [33, 42, 39] Generated Node #0,1: 73:[33, 42, 39] Operation: 26+13=39 Exploring Operation: 26+33=59, Resulting Numbers: [42, 13, 59] Generated Node #0,2: 73:[42, 13, 59] Operation: 26+33=59 Exploring Operation: 33+13=46, Resulting Numbers: [26, 42, 46] Generated Node #0,3: 73:[26, 42, 46] Operation: 33+13=46 Exploring Operation: 42+13=55, Resulting Numbers: [26, 33, 55] Generated Node #0,4: 73:[26, 33, 55] Operation: 42+13=55 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[33, 13, 68], Operations: ['26+42=68'] Exploring Operation: 68-13=55, Resulting Numbers: [33, 55] Generated Node #0,0,0: 73:[33, 55] Operation: 68-13=55 Exploring Operation: 13+68=81, Resulting Numbers: [33, 81] Generated Node #0,0,1: 73:[33, 81] Operation: 13+68=81 Exploring Operation: 33+13=46, Resulting Numbers: [68, 46] Generated Node #0,0,2: 73:[68, 46] Operation: 33+13=46 Exploring Operation: 33+68=101, Resulting Numbers: [13, 101] Generated Node #0,0,3: 73:[13, 101] Operation: 33+68=101 Exploring Operation: 33-13=20, Resulting Numbers: [68, 20] Generated Node #0,0,4: 73:[68, 20] Operation: 33-13=20 Moving to Node #0,0,2 Current State: 73:[68, 46], Operations: ['26+42=68', '33+13=46'] Exploring Operation: 68-46=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 68+46=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 68*46=3128, Resulting Numbers: [3128] 3128,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[33, 81], Operations: ['26+42=68', '13+68=81'] Exploring Operation: 33*81=2673, Resulting Numbers: [2673] 2673,73 unequal: No Solution Exploring Operation: 81-33=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 33+81=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[33, 55], Operations: ['26+42=68', '68-13=55'] Exploring Operation: 33*55=1815, Resulting Numbers: [1815] 1815,73 unequal: No Solution Exploring Operation: 55-33=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 33+55=88, Resulting Numbers: [88] 88,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[68, 20], Operations: ['26+42=68', '33-13=20'] Exploring Operation: 68*20=1360, Resulting Numbers: [1360] 1360,73 unequal: No Solution Exploring Operation: 68-20=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 68+20=88, Resulting Numbers: [88] 88,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[13, 101], Operations: ['26+42=68', '33+68=101'] Exploring Operation: 101-13=88, Resulting Numbers: [88] 88,73 unequal: No Solution Exploring Operation: 13+101=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 13*101=1313, Resulting Numbers: [1313] 1313,73 unequal: No Solution No 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: 73:[33, 42, 39], Operations: ['26+13=39'] Exploring Operation: 42-33=9, Resulting Numbers: [39, 9] Generated Node #0,1,0: 73:[39, 9] Operation: 42-33=9 Exploring Operation: 39-33=6, Resulting Numbers: [42, 6] Generated Node #0,1,1: 73:[42, 6] Operation: 39-33=6 Exploring Operation: 42+39=81, Resulting Numbers: [33, 81] Generated Node #0,1,2: 73:[33, 81] Operation: 42+39=81 Exploring Operation: 33+42=75, Resulting Numbers: [39, 75] Generated Node #0,1,3: 73:[39, 75] Operation: 33+42=75 Exploring Operation: 33+39=72, Resulting Numbers: [42, 72] Generated Node #0,1,4: 73:[42, 72] Operation: 33+39=72 Moving to Node #0,1,4 Current State: 73:[42, 72], Operations: ['26+13=39', '33+39=72'] Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,73 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,1,3 Current State: 73:[39, 75], Operations: ['26+13=39', '33+42=75'] Exploring Operation: 75-39=36, Resulting Numbers: [36] 36,73 unequal: No Solution Exploring Operation: 39*75=2925, Resulting Numbers: [2925] 2925,73 unequal: No Solution Exploring Operation: 39+75=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,1,2 Current State: 73:[33, 81], Operations: ['26+13=39', '42+39=81'] Exploring Operation: 33*81=2673, Resulting Numbers: [2673] 2673,73 unequal: No Solution Exploring Operation: 33+81=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 81-33=48, Resulting Numbers: [48] 48,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[39, 9], Operations: ['26+13=39', '42-33=9'] Exploring Operation: 39*9=351, Resulting Numbers: [351] 351,73 unequal: No Solution Exploring Operation: 39-9=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 39+9=48, Resulting Numbers: [48] 48,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[42, 6], Operations: ['26+13=39', '39-33=6'] Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,73 unequal: No Solution Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 42*6=252, Resulting Numbers: [252] 252,73 unequal: No Solution Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,73 unequal: No Solution No 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: 73:[42, 13, 59], Operations: ['26+33=59'] Exploring Operation: 42+13=55, Resulting Numbers: [59, 55] Generated Node #0,2,0: 73:[59, 55] Operation: 42+13=55 Exploring Operation: 59-13=46, Resulting Numbers: [42, 46] Generated Node #0,2,1: 73:[42, 46] Operation: 59-13=46 Exploring Operation: 42+59=101, Resulting Numbers: [13, 101] Generated Node #0,2,2: 73:[13, 101] Operation: 42+59=101 Exploring Operation: 13+59=72, Resulting Numbers: [42, 72] Generated Node #0,2,3: 73:[42, 72] Operation: 13+59=72 Exploring Operation: 42-13=29, Resulting Numbers: [59, 29] Generated Node #0,2,4: 73:[59, 29] Operation: 42-13=29 Moving to Node #0,2,0 Current State: 73:[59, 55], Operations: ['26+33=59', '42+13=55'] Exploring Operation: 59+55=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 59-55=4, Resulting Numbers: [4] 4,73 unequal: No Solution Exploring Operation: 59*55=3245, Resulting Numbers: [3245] 3245,73 unequal: No Solution Moving to Node #0,2,3 Current State: 73:[42, 72], Operations: ['26+33=59', '13+59=72'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[42, 46], Operations: ['26+33=59', '59-13=46'] Exploring Operation: 42*46=1932, Resulting Numbers: [1932] 1932,73 unequal: No Solution Exploring Operation: 46-42=4, Resulting Numbers: [4] 4,73 unequal: No Solution Exploring Operation: 42+46=88, Resulting Numbers: [88] 88,73 unequal: No Solution Moving to Node #0,2,4 Current State: 73:[59, 29], Operations: ['26+33=59', '42-13=29'] Exploring Operation: 59+29=88, Resulting Numbers: [88] 88,73 unequal: No Solution Exploring Operation: 59*29=1711, Resulting Numbers: [1711] 1711,73 unequal: No Solution Exploring Operation: 59-29=30, Resulting Numbers: [30] 30,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[13, 101], Operations: ['26+33=59', '42+59=101'] Exploring Operation: 13*101=1313, Resulting Numbers: [1313] 1313,73 unequal: No Solution Exploring Operation: 101-13=88, Resulting Numbers: [88] 88,73 unequal: No Solution Exploring Operation: 13+101=114, Resulting Numbers: [114] 114,73 unequal: No Solution No 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: 73:[26, 42, 46], Operations: ['33+13=46'] Exploring Operation: 26+46=72, Resulting Numbers: [42, 72] Generated Node #0,3,0: 73:[42, 72] Operation: 26+46=72 Exploring Operation: 26+42=68, Resulting Numbers: [46, 68] Generated Node #0,3,1: 73:[46, 68] Operation: 26+42=68 Exploring Operation: 46-26=20, Resulting Numbers: [42, 20] Generated Node #0,3,2: 73:[42, 20] Operation: 46-26=20 Exploring Operation: 42+46=88, Resulting Numbers: [26, 88] Generated Node #0,3,3: 73:[26, 88] Operation: 42+46=88 Exploring Operation: 42-26=16, Resulting Numbers: [46, 16] Generated Node #0,3,4: 73:[46, 16] Operation: 42-26=16 Moving to Node #0,3,0 Current State: 73:[42, 72], Operations: ['33+13=46', '26+46=72'] Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,73 unequal: No Solution Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,73 unequal: No Solution Moving to Node #0,3,1 Current State: 73:[46, 68], Operations: ['33+13=46', '26+42=68'] Exploring Operation: 68-46=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 46*68=3128, Resulting Numbers: [3128] 3128,73 unequal: No Solution Exploring Operation: 46+68=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,3,3 Current State: 73:[26, 88], Operations: ['33+13=46', '42+46=88'] Exploring Operation: 26*88=2288, Resulting Numbers: [2288] 2288,73 unequal: No Solution Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 26+88=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,3,2 Current State: 73:[42, 20], Operations: ['33+13=46', '46-26=20'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,73 unequal: No Solution Exploring Operation: 42*20=840, Resulting Numbers: [840] 840,73 unequal: No Solution Exploring Operation: 42+20=62, Resulting Numbers: [62] 62,73 unequal: No Solution Moving to Node #0,3,4 Current State: 73:[46, 16], Operations: ['33+13=46', '42-26=16'] Exploring Operation: 46+16=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 46-16=30, Resulting Numbers: [30] 30,73 unequal: No Solution Exploring Operation: 46*16=736, Resulting Numbers: [736] 736,73 unequal: No Solution No 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: 73:[26, 33, 55], Operations: ['42+13=55'] Exploring Operation: 26+33=59, Resulting Numbers: [55, 59] Generated Node #0,4,0: 73:[55, 59] Operation: 26+33=59 Exploring Operation: 33-26=7, Resulting Numbers: [55, 7] Generated Node #0,4,1: 73:[55, 7] Operation: 33-26=7 Exploring Operation: 55-26=29, Resulting Numbers: [33, 29] Generated Node #0,4,2: 73:[33, 29] Operation: 55-26=29 Exploring Operation: 33+55=88, Resulting Numbers: [26, 88] Generated Node #0,4,3: 73:[26, 88] Operation: 33+55=88 Exploring Operation: 26+55=81, Resulting Numbers: [33, 81] Generated Node #0,4,4: 73:[33, 81] Operation: 26+55=81 Moving to Node #0,4,0 Current State: 73:[55, 59], Operations: ['42+13=55', '26+33=59'] Exploring Operation: 59-55=4, Resulting Numbers: [4] 4,73 unequal: No Solution Exploring Operation: 55+59=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 55*59=3245, Resulting Numbers: [3245] 3245,73 unequal: No Solution Moving to Node #0,4,4 Current State: 73:[33, 81], Operations: ['42+13=55', '26+55=81'] Exploring Operation: 81-33=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 33*81=2673, Resulting Numbers: [2673] 2673,73 unequal: No Solution Exploring Operation: 33+81=114, Resulting Numbers: [114] 114,73 unequal: No Solution Moving to Node #0,4,3 Current State: 73:[26, 88], Operations: ['42+13=55', '33+55=88'] Exploring Operation: 26+88=114, Resulting Numbers: [114] 114,73 unequal: No Solution Exploring Operation: 88-26=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 26*88=2288, Resulting Numbers: [2288] 2288,73 unequal: No Solution Moving to Node #0,4,1 Current State: 73:[55, 7], Operations: ['42+13=55', '33-26=7'] Exploring Operation: 55+7=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 55-7=48, Resulting Numbers: [48] 48,73 unequal: No Solution Exploring Operation: 55*7=385, Resulting Numbers: [385] 385,73 unequal: No Solution Moving to Node #0,4,2 Current State: 73:[33, 29], Operations: ['42+13=55', '55-26=29'] Exploring Operation: 33*29=957, Resulting Numbers: [957] 957,73 unequal: No Solution Exploring Operation: 33+29=62, Resulting Numbers: [62] 62,73 unequal: No Solution Exploring Operation: 33-29=4, Resulting Numbers: [4] 4,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 2, 55, 13, 39 ]
31
[ "2+55=57", "39-13=26", "57-26=31" ]
Current State: 31:[2, 55, 13, 39], Operations: [] Exploring Operation: 2+55=57, Resulting Numbers: [13, 39, 57] Generated Node #2: [13, 39, 57] from Operation: 2+55=57 Current State: 31:[13, 39, 57], Operations: ['2+55=57'] Exploring Operation: 39-13=26, Resulting Numbers: [57, 26] Generated Node #3: [57, 26] from Operation: 39-13=26 Current State: 31:[57, 26], Operations: ['2+55=57', '39-13=26'] Exploring Operation: 57-26=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[2, 55, 13, 39], Operations: [] Exploring Operation: 55-2=53, Resulting Numbers: [13, 39, 53] Generated Node #0,0: 31:[13, 39, 53] Operation: 55-2=53 Exploring Operation: 2+13=15, Resulting Numbers: [55, 39, 15] Generated Node #0,1: 31:[55, 39, 15] Operation: 2+13=15 Exploring Operation: 2*13=26, Resulting Numbers: [55, 39, 26] Generated Node #0,2: 31:[55, 39, 26] Operation: 2*13=26 Exploring Operation: 55-13=42, Resulting Numbers: [2, 39, 42] Generated Node #0,3: 31:[2, 39, 42] Operation: 55-13=42 Exploring Operation: 39-2=37, Resulting Numbers: [55, 13, 37] Generated Node #0,4: 31:[55, 13, 37] Operation: 39-2=37 Moving to Node #0,2 Current State: 31:[55, 39, 26], Operations: ['2*13=26'] Exploring Operation: 55-39=16, Resulting Numbers: [26, 16] Generated Node #0,2,0: 31:[26, 16] Operation: 55-39=16 Exploring Operation: 55-26=29, Resulting Numbers: [39, 29] Generated Node #0,2,1: 31:[39, 29] Operation: 55-26=29 Exploring Operation: 55+26=81, Resulting Numbers: [39, 81] Generated Node #0,2,2: 31:[39, 81] Operation: 55+26=81 Exploring Operation: 39+26=65, Resulting Numbers: [55, 65] Generated Node #0,2,3: 31:[55, 65] Operation: 39+26=65 Exploring Operation: 39-26=13, Resulting Numbers: [55, 13] Generated Node #0,2,4: 31:[55, 13] Operation: 39-26=13 Moving to Node #0,1 Current State: 31:[55, 39, 15], Operations: ['2+13=15'] Exploring Operation: 39-15=24, Resulting Numbers: [55, 24] Generated Node #0,1,0: 31:[55, 24] Operation: 39-15=24 Exploring Operation: 39+15=54, Resulting Numbers: [55, 54] Generated Node #0,1,1: 31:[55, 54] Operation: 39+15=54 Exploring Operation: 55+15=70, Resulting Numbers: [39, 70] Generated Node #0,1,2: 31:[39, 70] Operation: 55+15=70 Exploring Operation: 55-15=40, Resulting Numbers: [39, 40] Generated Node #0,1,3: 31:[39, 40] Operation: 55-15=40 Exploring Operation: 55-39=16, Resulting Numbers: [15, 16] Generated Node #0,1,4: 31:[15, 16] Operation: 55-39=16 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 31:[39, 40], Operations: ['2+13=15', '55-15=40'] Exploring Operation: 39+40=79, Resulting Numbers: [79] 79,31 unequal: No Solution Exploring Operation: 39*40=1560, Resulting Numbers: [1560] 1560,31 unequal: No Solution Exploring Operation: 40-39=1, Resulting Numbers: [1] 1,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 31:[55, 24], Operations: ['2+13=15', '39-15=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[2, 55, 13, 39], Operations: [] Exploring Operation: 2+13=15, Resulting Numbers: [55, 39, 15] Generated Node #0,1: 31:[55, 39, 15] Operation: 2+13=15 Moving to Node #0,1 Current State: 31:[55, 39, 15], Operations: ['2+13=15'] Exploring Operation: 39-15=24, Resulting Numbers: [55, 24] Generated Node #0,1,0: 31:[55, 24] Operation: 39-15=24 Moving to Node #0,1,0 Current State: 31:[55, 24], Operations: ['2+13=15', '39-15=24'] Exploring Operation: 55-24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_5
sum_heuristic
[ 63, 63, 31, 52 ]
43
[ "63+63=126", "31+52=83", "126-83=43" ]
Current State: 43:[63, 63, 31, 52], Operations: [] Exploring Operation: 63+63=126, Resulting Numbers: [31, 52, 126] Generated Node #2: [31, 52, 126] from Operation: 63+63=126 Current State: 43:[31, 52, 126], Operations: ['63+63=126'] Exploring Operation: 31+52=83, Resulting Numbers: [126, 83] Generated Node #3: [126, 83] from Operation: 31+52=83 Current State: 43:[126, 83], Operations: ['63+63=126', '31+52=83'] Exploring Operation: 126-83=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[63, 63, 31, 52], Operations: [] Exploring Operation: 52-31=21, Resulting Numbers: [63, 63, 21] Generated Node #0,0: 43:[63, 63, 21] Operation: 52-31=21 Exploring Operation: 63-31=32, Resulting Numbers: [63, 52, 32] Generated Node #0,1: 43:[63, 52, 32] Operation: 63-31=32 Exploring Operation: 63-31=32, Resulting Numbers: [63, 52, 32] Generated Node #0,2: 43:[63, 52, 32] Operation: 63-31=32 Start Sub Search at level 1: Moving to Node #0,1 Current State: 43:[63, 52, 32], Operations: ['63-31=32'] Exploring Operation: 63-52=11, Resulting Numbers: [32, 11] Generated Node #0,1,0: 43:[32, 11] Operation: 63-52=11 Exploring Operation: 52-32=20, Resulting Numbers: [63, 20] Generated Node #0,1,1: 43:[63, 20] Operation: 52-32=20 Exploring Operation: 63-32=31, Resulting Numbers: [52, 31] Generated Node #0,1,2: 43:[52, 31] Operation: 63-32=31 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 43:[52, 31], Operations: ['63-31=32', '63-32=31'] Exploring Operation: 52+31=83, Resulting Numbers: [83] 83,43 unequal: No Solution Exploring Operation: 52*31=1612, Resulting Numbers: [1612] 1612,43 unequal: No Solution Exploring Operation: 52-31=21, Resulting Numbers: [21] 21,43 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:[32, 11], Operations: ['63-31=32', '63-52=11'] Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,43 unequal: No Solution Exploring Operation: 32+11=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[63, 63, 31, 52], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [63, 52, 32] Generated Node #0,1: 43:[63, 52, 32] Operation: 63-31=32 Moving to Node #0,1 Current State: 43:[63, 52, 32], Operations: ['63-31=32'] Exploring Operation: 63-52=11, Resulting Numbers: [32, 11] Generated Node #0,1,0: 43:[32, 11] Operation: 63-52=11 Moving to Node #0,1,0 Current State: 43:[32, 11], Operations: ['63-31=32', '63-52=11'] Exploring Operation: 32+11=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_3
mult_heuristic
[ 71, 17, 48, 42 ]
35
[ "71+48=119", "119/17=7", "42-7=35" ]
Current State: 35:[71, 17, 48, 42], Operations: [] Exploring Operation: 71+48=119, Resulting Numbers: [17, 42, 119] Generated Node #2: [17, 42, 119] from Operation: 71+48=119 Current State: 35:[17, 42, 119], Operations: ['71+48=119'] Exploring Operation: 119/17=7, Resulting Numbers: [42, 7] Generated Node #3: [42, 7] from Operation: 119/17=7 Current State: 35:[42, 7], Operations: ['71+48=119', '119/17=7'] Exploring Operation: 42-7=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[71, 17, 48, 42], Operations: [] Exploring Operation: 71-17=54, Resulting Numbers: [48, 42, 54] Generated Node #0,0: 35:[48, 42, 54] Operation: 71-17=54 Exploring Operation: 48-42=6, Resulting Numbers: [71, 17, 6] Generated Node #0,1: 35:[71, 17, 6] Operation: 48-42=6 Exploring Operation: 71-42=29, Resulting Numbers: [17, 48, 29] Generated Node #0,2: 35:[17, 48, 29] Operation: 71-42=29 Exploring Operation: 71-48=23, Resulting Numbers: [17, 42, 23] Generated Node #0,3: 35:[17, 42, 23] Operation: 71-48=23 Exploring Operation: 48-17=31, Resulting Numbers: [71, 42, 31] Generated Node #0,4: 35:[71, 42, 31] Operation: 48-17=31 Moving to Node #0,2 Current State: 35:[17, 48, 29], Operations: ['71-42=29'] Exploring Operation: 48-29=19, Resulting Numbers: [17, 19] Generated Node #0,2,0: 35:[17, 19] Operation: 48-29=19 Exploring Operation: 48-17=31, Resulting Numbers: [29, 31] Generated Node #0,2,1: 35:[29, 31] Operation: 48-17=31 Exploring Operation: 17+48=65, Resulting Numbers: [29, 65] Generated Node #0,2,2: 35:[29, 65] Operation: 17+48=65 Exploring Operation: 17+29=46, Resulting Numbers: [48, 46] Generated Node #0,2,3: 35:[48, 46] Operation: 17+29=46 Exploring Operation: 29-17=12, Resulting Numbers: [48, 12] Generated Node #0,2,4: 35:[48, 12] Operation: 29-17=12 Moving to Node #0,3 Current State: 35:[17, 42, 23], Operations: ['71-48=23'] Exploring Operation: 42-23=19, Resulting Numbers: [17, 19] Generated Node #0,3,0: 35:[17, 19] Operation: 42-23=19 Exploring Operation: 17+42=59, Resulting Numbers: [23, 59] Generated Node #0,3,1: 35:[23, 59] Operation: 17+42=59 Exploring Operation: 17+23=40, Resulting Numbers: [42, 40] Generated Node #0,3,2: 35:[42, 40] Operation: 17+23=40 Exploring Operation: 23-17=6, Resulting Numbers: [42, 6] Generated Node #0,3,3: 35:[42, 6] Operation: 23-17=6 Exploring Operation: 42-17=25, Resulting Numbers: [23, 25] Generated Node #0,3,4: 35:[23, 25] Operation: 42-17=25 Moving to Node #0,0 Current State: 35:[48, 42, 54], Operations: ['71-17=54'] Exploring Operation: 54-42=12, Resulting Numbers: [48, 12] Generated Node #0,0,0: 35:[48, 12] Operation: 54-42=12 Exploring Operation: 48+42=90, Resulting Numbers: [54, 90] Generated Node #0,0,1: 35:[54, 90] Operation: 48+42=90 Exploring Operation: 48-42=6, Resulting Numbers: [54, 6] Generated Node #0,0,2: 35:[54, 6] Operation: 48-42=6 Exploring Operation: 54-48=6, Resulting Numbers: [42, 6] Generated Node #0,0,3: 35:[42, 6] Operation: 54-48=6 Exploring Operation: 48+54=102, Resulting Numbers: [42, 102] Generated Node #0,0,4: 35:[42, 102] Operation: 48+54=102 Moving to Node #0,1 Current State: 35:[71, 17, 6], Operations: ['48-42=6'] Exploring Operation: 71-6=65, Resulting Numbers: [17, 65] Generated Node #0,1,0: 35:[17, 65] Operation: 71-6=65 Exploring Operation: 17+6=23, Resulting Numbers: [71, 23] Generated Node #0,1,1: 35:[71, 23] Operation: 17+6=23 Exploring Operation: 71-17=54, Resulting Numbers: [6, 54] Generated Node #0,1,2: 35:[6, 54] Operation: 71-17=54 Exploring Operation: 71+6=77, Resulting Numbers: [17, 77] Generated Node #0,1,3: 35:[17, 77] Operation: 71+6=77 Exploring Operation: 17-6=11, Resulting Numbers: [71, 11] Generated Node #0,1,4: 35:[71, 11] Operation: 17-6=11 Moving to Node #0,4 Current State: 35:[71, 42, 31], Operations: ['48-17=31'] Exploring Operation: 71+31=102, Resulting Numbers: [42, 102] Generated Node #0,4,0: 35:[42, 102] Operation: 71+31=102 Exploring Operation: 42+31=73, Resulting Numbers: [71, 73] Generated Node #0,4,1: 35:[71, 73] Operation: 42+31=73 Exploring Operation: 71-31=40, Resulting Numbers: [42, 40] Generated Node #0,4,2: 35:[42, 40] Operation: 71-31=40 Exploring Operation: 71-42=29, Resulting Numbers: [31, 29] Generated Node #0,4,3: 35:[31, 29] Operation: 71-42=29 Exploring Operation: 42-31=11, Resulting Numbers: [71, 11] Generated Node #0,4,4: 35:[71, 11] Operation: 42-31=11 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 35:[31, 29], Operations: ['48-17=31', '71-42=29'] Exploring Operation: 31-29=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 31*29=899, Resulting Numbers: [899] 899,35 unequal: No Solution Exploring Operation: 31+29=60, Resulting Numbers: [60] 60,35 unequal: No Solution No 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: 35:[42, 40], Operations: ['48-17=31', '71-31=40'] Exploring Operation: 42*40=1680, Resulting Numbers: [1680] 1680,35 unequal: No Solution Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,35 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 35:[71, 11], Operations: ['48-17=31', '42-31=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 71*11=781, Resulting Numbers: [781] 781,35 unequal: No Solution Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,35 unequal: No Solution No 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: 35:[42, 102], Operations: ['48-17=31', '71+31=102'] Exploring Operation: 102-42=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 42+102=144, Resulting Numbers: [144] 144,35 unequal: No Solution Exploring Operation: 42*102=4284, Resulting Numbers: [4284] 4284,35 unequal: No Solution No 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: 35:[71, 73], Operations: ['48-17=31', '42+31=73'] Exploring Operation: 71*73=5183, Resulting Numbers: [5183] 5183,35 unequal: No Solution Exploring Operation: 73-71=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 71+73=144, Resulting Numbers: [144] 144,35 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: 35:[42, 6], Operations: ['71-48=23', '23-17=6'] Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 42*6=252, Resulting Numbers: [252] 252,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[42, 6], Operations: ['71-17=54', '54-48=6'] Exploring Operation: 42/6=7, Resulting Numbers: [7] 7,35 unequal: No Solution Exploring Operation: 42-6=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 42*6=252, Resulting Numbers: [252] 252,35 unequal: No Solution Exploring Operation: 42+6=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,2,1 Current State: 35:[29, 31], Operations: ['71-42=29', '48-17=31'] Exploring Operation: 31-29=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 29*31=899, Resulting Numbers: [899] 899,35 unequal: No Solution Exploring Operation: 29+31=60, Resulting Numbers: [60] 60,35 unequal: No Solution Moving to Node #0,3,2 Current State: 35:[42, 40], Operations: ['71-48=23', '17+23=40'] Exploring Operation: 42*40=1680, Resulting Numbers: [1680] 1680,35 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,35 unequal: No Solution Moving to Node #0,0,0 Current State: 35:[48, 12], Operations: ['71-17=54', '54-42=12'] Exploring Operation: 48/12=4, Resulting Numbers: [4] 4,35 unequal: No Solution Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 48+12=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 48*12=576, Resulting Numbers: [576] 576,35 unequal: No Solution Moving to Node #0,2,4 Current State: 35:[48, 12], Operations: ['71-42=29', '29-17=12'] Exploring Operation: 48-12=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 48/12=4, Resulting Numbers: [4] 4,35 unequal: No Solution Exploring Operation: 48+12=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 48*12=576, Resulting Numbers: [576] 576,35 unequal: No Solution Moving to Node #0,0,2 Current State: 35:[54, 6], Operations: ['71-17=54', '48-42=6'] Exploring Operation: 54/6=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 54+6=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 54*6=324, Resulting Numbers: [324] 324,35 unequal: No Solution Moving to Node #0,1,2 Current State: 35:[6, 54], Operations: ['48-42=6', '71-17=54'] Exploring Operation: 6*54=324, Resulting Numbers: [324] 324,35 unequal: No Solution Exploring Operation: 54-6=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 54/6=9, Resulting Numbers: [9] 9,35 unequal: No Solution Exploring Operation: 6+54=60, Resulting Numbers: [60] 60,35 unequal: No Solution Moving to Node #0,2,0 Current State: 35:[17, 19], Operations: ['71-42=29', '48-29=19'] Exploring Operation: 17*19=323, Resulting Numbers: [323] 323,35 unequal: No Solution Exploring Operation: 19-17=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,35 unequal: No Solution Moving to Node #0,3,4 Current State: 35:[23, 25], Operations: ['71-48=23', '42-17=25'] Exploring Operation: 25-23=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 23*25=575, Resulting Numbers: [575] 575,35 unequal: No Solution Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,3,0 Current State: 35:[17, 19], Operations: ['71-48=23', '42-23=19'] Exploring Operation: 19-17=2, Resulting Numbers: [2] 2,35 unequal: No Solution Exploring Operation: 17*19=323, Resulting Numbers: [323] 323,35 unequal: No Solution Exploring Operation: 17+19=36, Resulting Numbers: [36] 36,35 unequal: No Solution Moving to Node #0,2,3 Current State: 35:[48, 46], Operations: ['71-42=29', '17+29=46'] Exploring Operation: 48*46=2208, Resulting Numbers: [2208] 2208,35 unequal: No Solution Exploring Operation: 48+46=94, Resulting Numbers: [94] 94,35 unequal: No Solution Exploring Operation: 48-46=2, Resulting Numbers: [2] 2,35 unequal: No Solution Moving to Node #0,2,2 Current State: 35:[29, 65], Operations: ['71-42=29', '17+48=65'] Exploring Operation: 65-29=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 29*65=1885, Resulting Numbers: [1885] 1885,35 unequal: No Solution Exploring Operation: 29+65=94, Resulting Numbers: [94] 94,35 unequal: No Solution Moving to Node #0,3,1 Current State: 35:[23, 59], Operations: ['71-48=23', '17+42=59'] Exploring Operation: 23*59=1357, Resulting Numbers: [1357] 1357,35 unequal: No Solution Exploring Operation: 59-23=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 23+59=82, Resulting Numbers: [82] 82,35 unequal: No Solution Moving to Node #0,1,4 Current State: 35:[71, 11], Operations: ['48-42=6', '17-6=11'] Exploring Operation: 71-11=60, Resulting Numbers: [60] 60,35 unequal: No Solution Exploring Operation: 71+11=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 71*11=781, Resulting Numbers: [781] 781,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[17, 65], Operations: ['48-42=6', '71-6=65'] Exploring Operation: 17*65=1105, Resulting Numbers: [1105] 1105,35 unequal: No Solution Exploring Operation: 17+65=82, Resulting Numbers: [82] 82,35 unequal: No Solution Exploring Operation: 65-17=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[71, 23], Operations: ['48-42=6', '17+6=23'] Exploring Operation: 71*23=1633, Resulting Numbers: [1633] 1633,35 unequal: No Solution Exploring Operation: 71-23=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 71+23=94, Resulting Numbers: [94] 94,35 unequal: No Solution Moving to Node #0,1,3 Current State: 35:[17, 77], Operations: ['48-42=6', '71+6=77'] Exploring Operation: 17+77=94, Resulting Numbers: [94] 94,35 unequal: No Solution Exploring Operation: 17*77=1309, Resulting Numbers: [1309] 1309,35 unequal: No Solution Exploring Operation: 77-17=60, Resulting Numbers: [60] 60,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[54, 90], Operations: ['71-17=54', '48+42=90'] Exploring Operation: 90-54=36, Resulting Numbers: [36] 36,35 unequal: No Solution Exploring Operation: 54*90=4860, Resulting Numbers: [4860] 4860,35 unequal: No Solution Exploring Operation: 54+90=144, Resulting Numbers: [144] 144,35 unequal: No Solution Moving to Node #0,0,4 Current State: 35:[42, 102], Operations: ['71-17=54', '48+54=102'] Exploring Operation: 42*102=4284, Resulting Numbers: [4284] 4284,35 unequal: No Solution Exploring Operation: 42+102=144, Resulting Numbers: [144] 144,35 unequal: No Solution Exploring Operation: 102-42=60, Resulting Numbers: [60] 60,35 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 13, 67, 3, 29 ]
80
[ "67-13=54", "29-3=26", "54+26=80" ]
Current State: 80:[13, 67, 3, 29], Operations: [] Exploring Operation: 67-13=54, Resulting Numbers: [3, 29, 54] Generated Node #2: [3, 29, 54] from Operation: 67-13=54 Current State: 80:[3, 29, 54], Operations: ['67-13=54'] Exploring Operation: 29-3=26, Resulting Numbers: [54, 26] Generated Node #3: [54, 26] from Operation: 29-3=26 Current State: 80:[54, 26], Operations: ['67-13=54', '29-3=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[13, 67, 3, 29], Operations: [] Exploring Operation: 13+67=80, Resulting Numbers: [3, 29, 80] Generated Node #0,0: 80:[3, 29, 80] Operation: 13+67=80 Exploring Operation: 67-29=38, Resulting Numbers: [13, 3, 38] Generated Node #0,1: 80:[13, 3, 38] Operation: 67-29=38 Moving to Node #0,1 Current State: 80:[13, 3, 38], Operations: ['67-29=38'] Exploring Operation: 13-3=10, Resulting Numbers: [38, 10] Generated Node #0,1,0: 80:[38, 10] Operation: 13-3=10 Exploring Operation: 13+3=16, Resulting Numbers: [38, 16] Generated Node #0,1,1: 80:[38, 16] Operation: 13+3=16 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 80:[38, 10], Operations: ['67-29=38', '13-3=10'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,80 unequal: No Solution Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 80:[38, 16], Operations: ['67-29=38', '13+3=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,80 unequal: No Solution Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,80 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: 80:[3, 29, 80], Operations: ['13+67=80'] Exploring Operation: 3*29=87, Resulting Numbers: [80, 87] Generated Node #0,0,0: 80:[80, 87] Operation: 3*29=87 Exploring Operation: 29-3=26, Resulting Numbers: [80, 26] Generated Node #0,0,1: 80:[80, 26] Operation: 29-3=26 Moving to Node #0,0,1 Current State: 80:[80, 26], Operations: ['13+67=80', '29-3=26'] Exploring Operation: 80-26=54, Resulting Numbers: [54] 54,80 unequal: No Solution Exploring Operation: 80+26=106, Resulting Numbers: [106] 106,80 unequal: No Solution Moving to Node #0,0,0 Current State: 80:[80, 87], Operations: ['13+67=80', '3*29=87'] Exploring Operation: 87-80=7, Resulting Numbers: [7] 7,80 unequal: No Solution Exploring Operation: 80+87=167, Resulting Numbers: [167] 167,80 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 59, 75, 7, 75 ]
53
[ "59-7=52", "75/75=1", "52+1=53" ]
Current State: 53:[59, 75, 7, 75], Operations: [] Exploring Operation: 59-7=52, Resulting Numbers: [75, 75, 52] Generated Node #2: [75, 75, 52] from Operation: 59-7=52 Current State: 53:[75, 75, 52], Operations: ['59-7=52'] Exploring Operation: 75/75=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 75/75=1 Current State: 53:[52, 1], Operations: ['59-7=52', '75/75=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[59, 75, 7, 75], Operations: [] Exploring Operation: 75-7=68, Resulting Numbers: [59, 75, 68] Generated Node #0,0: 53:[59, 75, 68] Operation: 75-7=68 Exploring Operation: 75-7=68, Resulting Numbers: [59, 75, 68] Generated Node #0,1: 53:[59, 75, 68] Operation: 75-7=68 Moving to Node #0,0 Current State: 53:[59, 75, 68], Operations: ['75-7=68'] Exploring Operation: 75-68=7, Resulting Numbers: [59, 7] Generated Node #0,0,0: 53:[59, 7] Operation: 75-68=7 Exploring Operation: 75-59=16, Resulting Numbers: [68, 16] Generated Node #0,0,1: 53:[68, 16] Operation: 75-59=16 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 53:[59, 7], Operations: ['75-7=68', '75-68=7'] Exploring Operation: 59+7=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 53:[68, 16], Operations: ['75-7=68', '75-59=16'] Exploring Operation: 68-16=52, Resulting Numbers: [52] 52,53 unequal: No Solution Exploring Operation: 68+16=84, Resulting Numbers: [84] 84,53 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: 53:[59, 75, 68], Operations: ['75-7=68'] Exploring Operation: 75-68=7, Resulting Numbers: [59, 7] Generated Node #0,1,0: 53:[59, 7] Operation: 75-68=7 Exploring Operation: 75-59=16, Resulting Numbers: [68, 16] Generated Node #0,1,1: 53:[68, 16] Operation: 75-59=16 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 53:[59, 7], Operations: ['75-7=68', '75-68=7'] Exploring Operation: 59+7=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 59-7=52, Resulting Numbers: [52] 52,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 53:[68, 16], Operations: ['75-7=68', '75-59=16'] Exploring Operation: 68+16=84, Resulting Numbers: [84] 84,53 unequal: No Solution Exploring Operation: 68-16=52, Resulting Numbers: [52] 52,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 4, 54, 66, 19 ]
97
[ "54-4=50", "66-19=47", "50+47=97" ]
Current State: 97:[4, 54, 66, 19], Operations: [] Exploring Operation: 54-4=50, Resulting Numbers: [66, 19, 50] Generated Node #2: [66, 19, 50] from Operation: 54-4=50 Current State: 97:[66, 19, 50], Operations: ['54-4=50'] Exploring Operation: 66-19=47, Resulting Numbers: [50, 47] Generated Node #3: [50, 47] from Operation: 66-19=47 Current State: 97:[50, 47], Operations: ['54-4=50', '66-19=47'] Exploring Operation: 50+47=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
Current State: 97:[4, 54, 66, 19], Operations: [] Exploring Operation: 4+66=70, Resulting Numbers: [54, 19, 70] Generated Node #0,0: 97:[54, 19, 70] Operation: 4+66=70 Exploring Operation: 4+54=58, Resulting Numbers: [66, 19, 58] Generated Node #0,1: 97:[66, 19, 58] Operation: 4+54=58 Exploring Operation: 4*19=76, Resulting Numbers: [54, 66, 76] Generated Node #0,2: 97:[54, 66, 76] Operation: 4*19=76 Start Sub Search at level 1: Moving to Node #0,2 Current State: 97:[54, 66, 76], Operations: ['4*19=76'] Exploring Operation: 54+76=130, Resulting Numbers: [66, 130] Generated Node #0,2,0: 97:[66, 130] Operation: 54+76=130 Exploring Operation: 66+76=142, Resulting Numbers: [54, 142] Generated Node #0,2,1: 97:[54, 142] Operation: 66+76=142 Exploring Operation: 54+66=120, Resulting Numbers: [76, 120] Generated Node #0,2,2: 97:[76, 120] Operation: 54+66=120 Moving to Node #0,2,2 Current State: 97:[76, 120], Operations: ['4*19=76', '54+66=120'] Exploring Operation: 120-76=44, Resulting Numbers: [44] 44,97 unequal: No Solution Exploring Operation: 76+120=196, Resulting Numbers: [196] 196,97 unequal: No Solution Exploring Operation: 76*120=9120, Resulting Numbers: [9120] 9120,97 unequal: No Solution Moving to Node #0,2,0 Current State: 97:[66, 130], Operations: ['4*19=76', '54+76=130'] Exploring Operation: 66*130=8580, Resulting Numbers: [8580] 8580,97 unequal: No Solution Exploring Operation: 130-66=64, Resulting Numbers: [64] 64,97 unequal: No Solution Exploring Operation: 66+130=196, Resulting Numbers: [196] 196,97 unequal: No Solution Moving to Node #0,2,1 Current State: 97:[54, 142], Operations: ['4*19=76', '66+76=142'] Exploring Operation: 54*142=7668, Resulting Numbers: [7668] 7668,97 unequal: No Solution Exploring Operation: 142-54=88, Resulting Numbers: [88] 88,97 unequal: No Solution Exploring Operation: 54+142=196, Resulting Numbers: [196] 196,97 unequal: No Solution No 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: 97:[54, 19, 70], Operations: ['4+66=70'] Exploring Operation: 54-19=35, Resulting Numbers: [70, 35] Generated Node #0,0,0: 97:[70, 35] Operation: 54-19=35 Exploring Operation: 54+19=73, Resulting Numbers: [70, 73] Generated Node #0,0,1: 97:[70, 73] Operation: 54+19=73 Exploring Operation: 19+70=89, Resulting Numbers: [54, 89] Generated Node #0,0,2: 97:[54, 89] Operation: 19+70=89 Moving to Node #0,0,1 Current State: 97:[70, 73], Operations: ['4+66=70', '54+19=73'] Exploring Operation: 70*73=5110, Resulting Numbers: [5110] 5110,97 unequal: No Solution Exploring Operation: 73-70=3, Resulting Numbers: [3] 3,97 unequal: No Solution Exploring Operation: 70+73=143, Resulting Numbers: [143] 143,97 unequal: No Solution Moving to Node #0,0,2 Current State: 97:[54, 89], Operations: ['4+66=70', '19+70=89'] Exploring Operation: 54*89=4806, Resulting Numbers: [4806] 4806,97 unequal: No Solution Exploring Operation: 54+89=143, Resulting Numbers: [143] 143,97 unequal: No Solution Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,97 unequal: No Solution Moving to Node #0,0,0 Current State: 97:[70, 35], Operations: ['4+66=70', '54-19=35'] Exploring Operation: 70/35=2, Resulting Numbers: [2] 2,97 unequal: No Solution Exploring Operation: 70-35=35, Resulting Numbers: [35] 35,97 unequal: No Solution Exploring Operation: 70+35=105, Resulting Numbers: [105] 105,97 unequal: No Solution No 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: 97:[66, 19, 58], Operations: ['4+54=58'] Exploring Operation: 19+58=77, Resulting Numbers: [66, 77] Generated Node #0,1,0: 97:[66, 77] Operation: 19+58=77 Exploring Operation: 66+19=85, Resulting Numbers: [58, 85] Generated Node #0,1,1: 97:[58, 85] Operation: 66+19=85 Exploring Operation: 66-19=47, Resulting Numbers: [58, 47] Generated Node #0,1,2: 97:[58, 47] Operation: 66-19=47 Moving to Node #0,1,0 Current State: 97:[66, 77], Operations: ['4+54=58', '19+58=77'] Exploring Operation: 77-66=11, Resulting Numbers: [11] 11,97 unequal: No Solution Exploring Operation: 66*77=5082, Resulting Numbers: [5082] 5082,97 unequal: No Solution Exploring Operation: 66+77=143, Resulting Numbers: [143] 143,97 unequal: No Solution Moving to Node #0,1,1 Current State: 97:[58, 85], Operations: ['4+54=58', '66+19=85'] Exploring Operation: 58*85=4930, Resulting Numbers: [4930] 4930,97 unequal: No Solution Exploring Operation: 85-58=27, Resulting Numbers: [27] 27,97 unequal: No Solution Exploring Operation: 58+85=143, Resulting Numbers: [143] 143,97 unequal: No Solution Moving to Node #0,1,2 Current State: 97:[58, 47], Operations: ['4+54=58', '66-19=47'] Exploring Operation: 58-47=11, Resulting Numbers: [11] 11,97 unequal: No Solution Exploring Operation: 58+47=105, Resulting Numbers: [105] 105,97 unequal: No Solution Exploring Operation: 58*47=2726, Resulting Numbers: [2726] 2726,97 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 27, 66, 86, 44 ]
51
[ "27+66=93", "86-44=42", "93-42=51" ]
Current State: 51:[27, 66, 86, 44], Operations: [] Exploring Operation: 27+66=93, Resulting Numbers: [86, 44, 93] Generated Node #2: [86, 44, 93] from Operation: 27+66=93 Current State: 51:[86, 44, 93], Operations: ['27+66=93'] Exploring Operation: 86-44=42, Resulting Numbers: [93, 42] Generated Node #3: [93, 42] from Operation: 86-44=42 Current State: 51:[93, 42], Operations: ['27+66=93', '86-44=42'] Exploring Operation: 93-42=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[27, 66, 86, 44], Operations: [] Exploring Operation: 86-66=20, Resulting Numbers: [27, 44, 20] Generated Node #0,0: 51:[27, 44, 20] Operation: 86-66=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[27, 44, 20], Operations: ['86-66=20'] Exploring Operation: 44-27=17, Resulting Numbers: [20, 17] Generated Node #0,0,0: 51:[20, 17] Operation: 44-27=17 Moving to Node #0,0,0 Current State: 51:[20, 17], Operations: ['86-66=20', '44-27=17'] Exploring Operation: 20-17=3, Resulting Numbers: [3] 3,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 84, 40, 50, 36 ]
42
[ "84-40=44", "50+36=86", "86-44=42" ]
Current State: 42:[84, 40, 50, 36], Operations: [] Exploring Operation: 84-40=44, Resulting Numbers: [50, 36, 44] Generated Node #2: [50, 36, 44] from Operation: 84-40=44 Current State: 42:[50, 36, 44], Operations: ['84-40=44'] Exploring Operation: 50+36=86, Resulting Numbers: [44, 86] Generated Node #3: [44, 86] from Operation: 50+36=86 Current State: 42:[44, 86], Operations: ['84-40=44', '50+36=86'] Exploring Operation: 86-44=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[84, 40, 50, 36], Operations: [] Exploring Operation: 84-50=34, Resulting Numbers: [40, 36, 34] Generated Node #0,0: 42:[40, 36, 34] Operation: 84-50=34 Exploring Operation: 84-40=44, Resulting Numbers: [50, 36, 44] Generated Node #0,1: 42:[50, 36, 44] Operation: 84-40=44 Exploring Operation: 50-36=14, Resulting Numbers: [84, 40, 14] Generated Node #0,2: 42:[84, 40, 14] Operation: 50-36=14 Exploring Operation: 84-36=48, Resulting Numbers: [40, 50, 48] Generated Node #0,3: 42:[40, 50, 48] Operation: 84-36=48 Moving to Node #0,0 Current State: 42:[40, 36, 34], Operations: ['84-50=34'] Exploring Operation: 40-36=4, Resulting Numbers: [34, 4] Generated Node #0,0,0: 42:[34, 4] Operation: 40-36=4 Exploring Operation: 40-34=6, Resulting Numbers: [36, 6] Generated Node #0,0,1: 42:[36, 6] Operation: 40-34=6 Exploring Operation: 36+34=70, Resulting Numbers: [40, 70] Generated Node #0,0,2: 42:[40, 70] Operation: 36+34=70 Exploring Operation: 36-34=2, Resulting Numbers: [40, 2] Generated Node #0,0,3: 42:[40, 2] Operation: 36-34=2 Moving to Node #0,3 Current State: 42:[40, 50, 48], Operations: ['84-36=48'] Exploring Operation: 48-40=8, Resulting Numbers: [50, 8] Generated Node #0,3,0: 42:[50, 8] Operation: 48-40=8 Exploring Operation: 50-48=2, Resulting Numbers: [40, 2] Generated Node #0,3,1: 42:[40, 2] Operation: 50-48=2 Exploring Operation: 50-40=10, Resulting Numbers: [48, 10] Generated Node #0,3,2: 42:[48, 10] Operation: 50-40=10 Exploring Operation: 40+50=90, Resulting Numbers: [48, 90] Generated Node #0,3,3: 42:[48, 90] Operation: 40+50=90 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 42:[40, 2], Operations: ['84-36=48', '50-48=2'] Exploring Operation: 40/2=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 40*2=80, Resulting Numbers: [80] 80,42 unequal: No Solution Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[84, 40, 50, 36], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [40, 50, 48] Generated Node #0,3: 42:[40, 50, 48] Operation: 84-36=48 Moving to Node #0,3 Current State: 42:[40, 50, 48], Operations: ['84-36=48'] Exploring Operation: 50-48=2, Resulting Numbers: [40, 2] Generated Node #0,3,1: 42:[40, 2] Operation: 50-48=2 Moving to Node #0,3,1 Current State: 42:[40, 2], Operations: ['84-36=48', '50-48=2'] Exploring Operation: 40+2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_4
sum_heuristic
[ 39, 20, 5, 39 ]
24
[ "39/39=1", "20+5=25", "25-1=24" ]
Current State: 24:[39, 20, 5, 39], Operations: [] Exploring Operation: 39/39=1, Resulting Numbers: [20, 5, 1] Generated Node #2: [20, 5, 1] from Operation: 39/39=1 Current State: 24:[20, 5, 1], Operations: ['39/39=1'] Exploring Operation: 20+5=25, Resulting Numbers: [1, 25] Generated Node #3: [1, 25] from Operation: 20+5=25 Current State: 24:[1, 25], Operations: ['39/39=1', '20+5=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[39, 20, 5, 39], Operations: [] Exploring Operation: 39-20=19, Resulting Numbers: [39, 5, 19] Generated Node #0,0: 24:[39, 5, 19] Operation: 39-20=19 Exploring Operation: 39/39=1, Resulting Numbers: [20, 5, 1] Generated Node #0,1: 24:[20, 5, 1] Operation: 39/39=1 Exploring Operation: 39-20=19, Resulting Numbers: [5, 39, 19] Generated Node #0,2: 24:[5, 39, 19] Operation: 39-20=19 Exploring Operation: 39-39=0, Resulting Numbers: [20, 5, 0] Generated Node #0,3: 24:[20, 5, 0] Operation: 39-39=0 Moving to Node #0,1 Current State: 24:[20, 5, 1], Operations: ['39/39=1'] Exploring Operation: 20+1=21, Resulting Numbers: [5, 21] Generated Node #0,1,0: 24:[5, 21] Operation: 20+1=21 Exploring Operation: 20/5=4, Resulting Numbers: [1, 4] Generated Node #0,1,1: 24:[1, 4] Operation: 20/5=4 Exploring Operation: 20-5=15, Resulting Numbers: [1, 15] Generated Node #0,1,2: 24:[1, 15] Operation: 20-5=15 Exploring Operation: 20+5=25, Resulting Numbers: [1, 25] Generated Node #0,1,3: 24:[1, 25] Operation: 20+5=25 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 24:[1, 4], Operations: ['39/39=1', '20/5=4'] Exploring Operation: 1*4=4, Resulting Numbers: [4] 4,24 unequal: No Solution Exploring Operation: 4/1=4, Resulting Numbers: [4] 4,24 unequal: No Solution Exploring Operation: 4-1=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 1+4=5, Resulting Numbers: [5] 5,24 unequal: No Solution No 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: 24:[1, 25], Operations: ['39/39=1', '20+5=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[39, 20, 5, 39], Operations: [] Exploring Operation: 39/39=1, Resulting Numbers: [20, 5, 1] Generated Node #0,1: 24:[20, 5, 1] Operation: 39/39=1 Moving to Node #0,1 Current State: 24:[20, 5, 1], Operations: ['39/39=1'] Exploring Operation: 20+5=25, Resulting Numbers: [1, 25] Generated Node #0,1,3: 24:[1, 25] Operation: 20+5=25 Moving to Node #0,1,3 Current State: 24:[1, 25], Operations: ['39/39=1', '20+5=25'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
sum_heuristic
[ 60, 34, 40, 28 ]
79
[ "60*34=2040", "2040/40=51", "28+51=79" ]
Current State: 79:[60, 34, 40, 28], Operations: [] Exploring Operation: 60*34=2040, Resulting Numbers: [40, 28, 2040] Generated Node #2: [40, 28, 2040] from Operation: 60*34=2040 Current State: 79:[40, 28, 2040], Operations: ['60*34=2040'] Exploring Operation: 2040/40=51, Resulting Numbers: [28, 51] Generated Node #3: [28, 51] from Operation: 2040/40=51 Current State: 79:[28, 51], Operations: ['60*34=2040', '2040/40=51'] Exploring Operation: 28+51=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[60, 34, 40, 28], Operations: [] Exploring Operation: 34+40=74, Resulting Numbers: [60, 28, 74] Generated Node #0,0: 79:[60, 28, 74] Operation: 34+40=74 Moving to Node #0,0 Current State: 79:[60, 28, 74], Operations: ['34+40=74'] Exploring Operation: 60+28=88, Resulting Numbers: [74, 88] Generated Node #0,0,0: 79:[74, 88] Operation: 60+28=88 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 79:[74, 88], Operations: ['34+40=74', '60+28=88'] Exploring Operation: 88-74=14, Resulting Numbers: [14] 14,79 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
[ 76, 63, 81, 25 ]
83
[ "76+63=139", "81-25=56", "139-56=83" ]
Current State: 83:[76, 63, 81, 25], Operations: [] Exploring Operation: 76+63=139, Resulting Numbers: [81, 25, 139] Generated Node #2: [81, 25, 139] from Operation: 76+63=139 Current State: 83:[81, 25, 139], Operations: ['76+63=139'] Exploring Operation: 81-25=56, Resulting Numbers: [139, 56] Generated Node #3: [139, 56] from Operation: 81-25=56 Current State: 83:[139, 56], Operations: ['76+63=139', '81-25=56'] Exploring Operation: 139-56=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[76, 63, 81, 25], Operations: [] Exploring Operation: 63+25=88, Resulting Numbers: [76, 81, 88] Generated Node #0,0: 83:[76, 81, 88] Operation: 63+25=88 Exploring Operation: 76+25=101, Resulting Numbers: [63, 81, 101] Generated Node #0,1: 83:[63, 81, 101] Operation: 76+25=101 Moving to Node #0,0 Current State: 83:[76, 81, 88], Operations: ['63+25=88'] Exploring Operation: 88-76=12, Resulting Numbers: [81, 12] Generated Node #0,0,0: 83:[81, 12] Operation: 88-76=12 Exploring Operation: 76+81=157, Resulting Numbers: [88, 157] Generated Node #0,0,1: 83:[88, 157] Operation: 76+81=157 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 83:[81, 12], Operations: ['63+25=88', '88-76=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,83 unequal: No Solution Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 83:[88, 157], Operations: ['63+25=88', '76+81=157'] Exploring Operation: 88+157=245, Resulting Numbers: [245] 245,83 unequal: No Solution Exploring Operation: 157-88=69, Resulting Numbers: [69] 69,83 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: 83:[63, 81, 101], Operations: ['76+25=101'] Exploring Operation: 63+81=144, Resulting Numbers: [101, 144] Generated Node #0,1,0: 83:[101, 144] Operation: 63+81=144 Exploring Operation: 101-63=38, Resulting Numbers: [81, 38] Generated Node #0,1,1: 83:[81, 38] Operation: 101-63=38 Moving to Node #0,1,1 Current State: 83:[81, 38], Operations: ['76+25=101', '101-63=38'] Exploring Operation: 81-38=43, Resulting Numbers: [43] 43,83 unequal: No Solution Exploring Operation: 81+38=119, Resulting Numbers: [119] 119,83 unequal: No Solution Moving to Node #0,1,0 Current State: 83:[101, 144], Operations: ['76+25=101', '63+81=144'] Exploring Operation: 101+144=245, Resulting Numbers: [245] 245,83 unequal: No Solution Exploring Operation: 144-101=43, Resulting Numbers: [43] 43,83 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 13, 60, 8, 65 ]
64
[ "13+60=73", "73-65=8", "8*8=64" ]
Current State: 64:[13, 60, 8, 65], Operations: [] Exploring Operation: 13+60=73, Resulting Numbers: [8, 65, 73] Generated Node #2: [8, 65, 73] from Operation: 13+60=73 Current State: 64:[8, 65, 73], Operations: ['13+60=73'] Exploring Operation: 73-65=8, Resulting Numbers: [8, 8] Generated Node #3: [8, 8] from Operation: 73-65=8 Current State: 64:[8, 8], Operations: ['13+60=73', '73-65=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[13, 60, 8, 65], Operations: [] Exploring Operation: 65/13=5, Resulting Numbers: [60, 8, 5] Generated Node #0,0: 64:[60, 8, 5] Operation: 65/13=5 Exploring Operation: 65-60=5, Resulting Numbers: [13, 8, 5] Generated Node #0,1: 64:[13, 8, 5] Operation: 65-60=5 Moving to Node #0,1 Current State: 64:[13, 8, 5], Operations: ['65-60=5'] Exploring Operation: 13-5=8, Resulting Numbers: [8, 8] Generated Node #0,1,0: 64:[8, 8] Operation: 13-5=8 Exploring Operation: 13*5=65, Resulting Numbers: [8, 65] Generated Node #0,1,1: 64:[8, 65] Operation: 13*5=65 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 64:[8, 8], Operations: ['65-60=5', '13-5=8'] Exploring Operation: 8+8=16, Resulting Numbers: [16] 16,64 unequal: No Solution Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Moving to Node #0 Current State: 64:[13, 60, 8, 65], Operations: [] Exploring Operation: 65-60=5, Resulting Numbers: [13, 8, 5] Generated Node #0,1: 64:[13, 8, 5] Operation: 65-60=5 Moving to Node #0,1 Current State: 64:[13, 8, 5], Operations: ['65-60=5'] Exploring Operation: 13-5=8, Resulting Numbers: [8, 8] Generated Node #0,1,0: 64:[8, 8] Operation: 13-5=8 Moving to Node #0,1,0 Current State: 64:[8, 8], Operations: ['65-60=5', '13-5=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,64 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
mult_heuristic
[ 63, 37, 25, 85 ]
29
[ "63+85=148", "148/37=4", "25+4=29" ]
Current State: 29:[63, 37, 25, 85], Operations: [] Exploring Operation: 63+85=148, Resulting Numbers: [37, 25, 148] Generated Node #2: [37, 25, 148] from Operation: 63+85=148 Current State: 29:[37, 25, 148], Operations: ['63+85=148'] Exploring Operation: 148/37=4, Resulting Numbers: [25, 4] Generated Node #3: [25, 4] from Operation: 148/37=4 Current State: 29:[25, 4], Operations: ['63+85=148', '148/37=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[63, 37, 25, 85], Operations: [] Exploring Operation: 85-63=22, Resulting Numbers: [37, 25, 22] Generated Node #0,0: 29:[37, 25, 22] Operation: 85-63=22 Exploring Operation: 85-37=48, Resulting Numbers: [63, 25, 48] Generated Node #0,1: 29:[63, 25, 48] Operation: 85-37=48 Start Sub Search at level 1: Moving to Node #0,0 Current State: 29:[37, 25, 22], Operations: ['85-63=22'] Exploring Operation: 37-25=12, Resulting Numbers: [22, 12] Generated Node #0,0,0: 29:[22, 12] Operation: 37-25=12 Exploring Operation: 37-22=15, Resulting Numbers: [25, 15] Generated Node #0,0,1: 29:[25, 15] Operation: 37-22=15 Moving to Node #0,0,1 Current State: 29:[25, 15], Operations: ['85-63=22', '37-22=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,29 unequal: No Solution Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,29 unequal: No Solution Moving to Node #0,0,0 Current State: 29:[22, 12], Operations: ['85-63=22', '37-25=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,29 unequal: No Solution Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 29:[63, 25, 48], Operations: ['85-37=48'] Exploring Operation: 63-48=15, Resulting Numbers: [25, 15] Generated Node #0,1,0: 29:[25, 15] Operation: 63-48=15 Exploring Operation: 63-25=38, Resulting Numbers: [48, 38] Generated Node #0,1,1: 29:[48, 38] Operation: 63-25=38 Moving to Node #0,1,0 Current State: 29:[25, 15], Operations: ['85-37=48', '63-48=15'] Exploring Operation: 25+15=40, Resulting Numbers: [40] 40,29 unequal: No Solution Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[48, 38], Operations: ['85-37=48', '63-25=38'] Exploring Operation: 48-38=10, Resulting Numbers: [10] 10,29 unequal: No Solution Exploring Operation: 48+38=86, Resulting Numbers: [86] 86,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 15, 12, 53, 19 ]
75
[ "15-12=3", "53+19=72", "3+72=75" ]
Current State: 75:[15, 12, 53, 19], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [53, 19, 3] Generated Node #2: [53, 19, 3] from Operation: 15-12=3 Current State: 75:[53, 19, 3], Operations: ['15-12=3'] Exploring Operation: 53+19=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 53+19=72 Current State: 75:[3, 72], Operations: ['15-12=3', '53+19=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[15, 12, 53, 19], Operations: [] Exploring Operation: 53-19=34, Resulting Numbers: [15, 12, 34] Generated Node #0,0: 75:[15, 12, 34] Operation: 53-19=34 Exploring Operation: 12+53=65, Resulting Numbers: [15, 19, 65] Generated Node #0,1: 75:[15, 19, 65] Operation: 12+53=65 Exploring Operation: 15+53=68, Resulting Numbers: [12, 19, 68] Generated Node #0,2: 75:[12, 19, 68] Operation: 15+53=68 Exploring Operation: 53+19=72, Resulting Numbers: [15, 12, 72] Generated Node #0,3: 75:[15, 12, 72] Operation: 53+19=72 Exploring Operation: 53-15=38, Resulting Numbers: [12, 19, 38] Generated Node #0,4: 75:[12, 19, 38] Operation: 53-15=38 Start Sub Search at level 1: Moving to Node #0,3 Current State: 75:[15, 12, 72], Operations: ['53+19=72'] Exploring Operation: 15-12=3, Resulting Numbers: [72, 3] Generated Node #0,3,0: 75:[72, 3] Operation: 15-12=3 Exploring Operation: 72/12=6, Resulting Numbers: [15, 6] Generated Node #0,3,1: 75:[15, 6] Operation: 72/12=6 Exploring Operation: 15+72=87, Resulting Numbers: [12, 87] Generated Node #0,3,2: 75:[12, 87] Operation: 15+72=87 Exploring Operation: 12+72=84, Resulting Numbers: [15, 84] Generated Node #0,3,3: 75:[15, 84] Operation: 12+72=84 Exploring Operation: 15+12=27, Resulting Numbers: [72, 27] Generated Node #0,3,4: 75:[72, 27] Operation: 15+12=27 Moving to Node #0,3,1 Current State: 75:[15, 6], Operations: ['53+19=72', '72/12=6'] Exploring Operation: 15-6=9, Resulting Numbers: [9] 9,75 unequal: No Solution Exploring Operation: 15*6=90, Resulting Numbers: [90] 90,75 unequal: No Solution Exploring Operation: 15+6=21, Resulting Numbers: [21] 21,75 unequal: No Solution Moving to Node #0,3,0 Current State: 75:[72, 3], Operations: ['53+19=72', '15-12=3'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,75 unequal: No Solution Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[15, 12, 53, 19], Operations: [] Exploring Operation: 53+19=72, Resulting Numbers: [15, 12, 72] Generated Node #0,3: 75:[15, 12, 72] Operation: 53+19=72 Moving to Node #0,3 Current State: 75:[15, 12, 72], Operations: ['53+19=72'] Exploring Operation: 15-12=3, Resulting Numbers: [72, 3] Generated Node #0,3,0: 75:[72, 3] Operation: 15-12=3 Moving to Node #0,3,0 Current State: 75:[72, 3], Operations: ['53+19=72', '15-12=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_5
sum_heuristic
[ 97, 86, 92, 7 ]
13
[ "97+86=183", "183-92=91", "91/7=13" ]
Current State: 13:[97, 86, 92, 7], Operations: [] Exploring Operation: 97+86=183, Resulting Numbers: [92, 7, 183] Generated Node #2: [92, 7, 183] from Operation: 97+86=183 Current State: 13:[92, 7, 183], Operations: ['97+86=183'] Exploring Operation: 183-92=91, Resulting Numbers: [7, 91] Generated Node #3: [7, 91] from Operation: 183-92=91 Current State: 13:[7, 91], Operations: ['97+86=183', '183-92=91'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[97, 86, 92, 7], Operations: [] Exploring Operation: 97-92=5, Resulting Numbers: [86, 7, 5] Generated Node #0,0: 13:[86, 7, 5] Operation: 97-92=5 Exploring Operation: 92-86=6, Resulting Numbers: [97, 7, 6] Generated Node #0,1: 13:[97, 7, 6] Operation: 92-86=6 Exploring Operation: 97-86=11, Resulting Numbers: [92, 7, 11] Generated Node #0,2: 13:[92, 7, 11] Operation: 97-86=11 Moving to Node #0,0 Current State: 13:[86, 7, 5], Operations: ['97-92=5'] Exploring Operation: 7+5=12, Resulting Numbers: [86, 12] Generated Node #0,0,0: 13:[86, 12] Operation: 7+5=12 Exploring Operation: 86-7=79, Resulting Numbers: [5, 79] Generated Node #0,0,1: 13:[5, 79] Operation: 86-7=79 Exploring Operation: 86-5=81, Resulting Numbers: [7, 81] Generated Node #0,0,2: 13:[7, 81] Operation: 86-5=81 Moving to Node #0,2 Current State: 13:[92, 7, 11], Operations: ['97-86=11'] Exploring Operation: 7+11=18, Resulting Numbers: [92, 18] Generated Node #0,2,0: 13:[92, 18] Operation: 7+11=18 Exploring Operation: 92-11=81, Resulting Numbers: [7, 81] Generated Node #0,2,1: 13:[7, 81] Operation: 92-11=81 Exploring Operation: 92-7=85, Resulting Numbers: [11, 85] Generated Node #0,2,2: 13:[11, 85] Operation: 92-7=85 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 13:[7, 81], Operations: ['97-86=11', '92-11=81'] Exploring Operation: 81-7=74, Resulting Numbers: [74] 74,13 unequal: No Solution Exploring Operation: 7+81=88, Resulting Numbers: [88] 88,13 unequal: No Solution Exploring Operation: 7*81=567, Resulting Numbers: [567] 567,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 13:[11, 85], Operations: ['97-86=11', '92-7=85'] Exploring Operation: 85-11=74, Resulting Numbers: [74] 74,13 unequal: No Solution Exploring Operation: 11*85=935, Resulting Numbers: [935] 935,13 unequal: No Solution Exploring Operation: 11+85=96, Resulting Numbers: [96] 96,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 13:[92, 18], Operations: ['97-86=11', '7+11=18'] Exploring Operation: 92-18=74, Resulting Numbers: [74] 74,13 unequal: No Solution Exploring Operation: 92+18=110, Resulting Numbers: [110] 110,13 unequal: No Solution Exploring Operation: 92*18=1656, Resulting Numbers: [1656] 1656,13 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: 13:[97, 7, 6], Operations: ['92-86=6'] Exploring Operation: 7+6=13, Resulting Numbers: [97, 13] Generated Node #0,1,0: 13:[97, 13] Operation: 7+6=13 Exploring Operation: 97-7=90, Resulting Numbers: [6, 90] Generated Node #0,1,1: 13:[6, 90] Operation: 97-7=90 Exploring Operation: 97-6=91, Resulting Numbers: [7, 91] Generated Node #0,1,2: 13:[7, 91] Operation: 97-6=91 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 13:[97, 13], Operations: ['92-86=6', '7+6=13'] Exploring Operation: 97*13=1261, Resulting Numbers: [1261] 1261,13 unequal: No Solution Exploring Operation: 97+13=110, Resulting Numbers: [110] 110,13 unequal: No Solution Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 13:[6, 90], Operations: ['92-86=6', '97-7=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,13 unequal: No Solution Exploring Operation: 90-6=84, Resulting Numbers: [84] 84,13 unequal: No Solution Exploring Operation: 6+90=96, Resulting Numbers: [96] 96,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 13:[7, 91], Operations: ['92-86=6', '97-6=91'] Exploring Operation: 7+91=98, Resulting Numbers: [98] 98,13 unequal: No Solution Exploring Operation: 91-7=84, Resulting Numbers: [84] 84,13 unequal: No Solution Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[97, 86, 92, 7], Operations: [] Exploring Operation: 92-86=6, Resulting Numbers: [97, 7, 6] Generated Node #0,1: 13:[97, 7, 6] Operation: 92-86=6 Moving to Node #0,1 Current State: 13:[97, 7, 6], Operations: ['92-86=6'] Exploring Operation: 97-6=91, Resulting Numbers: [7, 91] Generated Node #0,1,2: 13:[7, 91] Operation: 97-6=91 Moving to Node #0,1,2 Current State: 13:[7, 91], Operations: ['92-86=6', '97-6=91'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Exit Sub Search at level 1
0.970486
hs_3
mult_heuristic
[ 64, 11, 98, 66 ]
60
[ "66-64=2", "98/2=49", "11+49=60" ]
Current State: 60:[64, 11, 98, 66], Operations: [] Exploring Operation: 66-64=2, Resulting Numbers: [11, 98, 2] Generated Node #2: [11, 98, 2] from Operation: 66-64=2 Current State: 60:[11, 98, 2], Operations: ['66-64=2'] Exploring Operation: 98/2=49, Resulting Numbers: [11, 49] Generated Node #3: [11, 49] from Operation: 98/2=49 Current State: 60:[11, 49], Operations: ['66-64=2', '98/2=49'] Exploring Operation: 11+49=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[64, 11, 98, 66], Operations: [] Exploring Operation: 98-66=32, Resulting Numbers: [64, 11, 32] Generated Node #0,0: 60:[64, 11, 32] Operation: 98-66=32 Moving to Node #0,0 Current State: 60:[64, 11, 32], Operations: ['98-66=32'] Exploring Operation: 64/32=2, Resulting Numbers: [11, 2] Generated Node #0,0,0: 60:[11, 2] Operation: 64/32=2 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 60:[11, 2], Operations: ['98-66=32', '64/32=2'] Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,60 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
[ 52, 75, 89, 2 ]
36
[ "52+75=127", "89+2=91", "127-91=36" ]
Current State: 36:[52, 75, 89, 2], Operations: [] Exploring Operation: 52+75=127, Resulting Numbers: [89, 2, 127] Generated Node #2: [89, 2, 127] from Operation: 52+75=127 Current State: 36:[89, 2, 127], Operations: ['52+75=127'] Exploring Operation: 89+2=91, Resulting Numbers: [127, 91] Generated Node #3: [127, 91] from Operation: 89+2=91 Current State: 36:[127, 91], Operations: ['52+75=127', '89+2=91'] Exploring Operation: 127-91=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[52, 75, 89, 2], Operations: [] Exploring Operation: 75-52=23, Resulting Numbers: [89, 2, 23] Generated Node #0,0: 36:[89, 2, 23] Operation: 75-52=23 Exploring Operation: 52-2=50, Resulting Numbers: [75, 89, 50] Generated Node #0,1: 36:[75, 89, 50] Operation: 52-2=50 Exploring Operation: 89-52=37, Resulting Numbers: [75, 2, 37] Generated Node #0,2: 36:[75, 2, 37] Operation: 89-52=37 Exploring Operation: 52/2=26, Resulting Numbers: [75, 89, 26] Generated Node #0,3: 36:[75, 89, 26] Operation: 52/2=26 Exploring Operation: 89-75=14, Resulting Numbers: [52, 2, 14] Generated Node #0,4: 36:[52, 2, 14] Operation: 89-75=14 Start Sub Search at level 1: Moving to Node #0,4 Current State: 36:[52, 2, 14], Operations: ['89-75=14'] Exploring Operation: 52-14=38, Resulting Numbers: [2, 38] Generated Node #0,4,0: 36:[2, 38] Operation: 52-14=38 Exploring Operation: 52-2=50, Resulting Numbers: [14, 50] Generated Node #0,4,1: 36:[14, 50] Operation: 52-2=50 Exploring Operation: 14/2=7, Resulting Numbers: [52, 7] Generated Node #0,4,2: 36:[52, 7] Operation: 14/2=7 Exploring Operation: 14-2=12, Resulting Numbers: [52, 12] Generated Node #0,4,3: 36:[52, 12] Operation: 14-2=12 Exploring Operation: 52/2=26, Resulting Numbers: [14, 26] Generated Node #0,4,4: 36:[14, 26] Operation: 52/2=26 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 36:[2, 38], Operations: ['89-75=14', '52-14=38'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,36 unequal: No Solution Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[52, 75, 89, 2], Operations: [] Exploring Operation: 89-75=14, Resulting Numbers: [52, 2, 14] Generated Node #0,4: 36:[52, 2, 14] Operation: 89-75=14 Moving to Node #0,4 Current State: 36:[52, 2, 14], Operations: ['89-75=14'] Exploring Operation: 52-14=38, Resulting Numbers: [2, 38] Generated Node #0,4,0: 36:[2, 38] Operation: 52-14=38 Moving to Node #0,4,0 Current State: 36:[2, 38], Operations: ['89-75=14', '52-14=38'] Exploring Operation: 38-2=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_5
sum_heuristic
[ 11, 28, 11, 76 ]
47
[ "11/11=1", "76-28=48", "48-1=47" ]
Current State: 47:[11, 28, 11, 76], Operations: [] Exploring Operation: 11/11=1, Resulting Numbers: [28, 76, 1] Generated Node #2: [28, 76, 1] from Operation: 11/11=1 Current State: 47:[28, 76, 1], Operations: ['11/11=1'] Exploring Operation: 76-28=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 76-28=48 Current State: 47:[1, 48], Operations: ['11/11=1', '76-28=48'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[11, 28, 11, 76], Operations: [] Exploring Operation: 11+28=39, Resulting Numbers: [11, 76, 39] Generated Node #0,0: 47:[11, 76, 39] Operation: 11+28=39 Exploring Operation: 76-11=65, Resulting Numbers: [28, 11, 65] Generated Node #0,1: 47:[28, 11, 65] Operation: 76-11=65 Exploring Operation: 11+11=22, Resulting Numbers: [28, 76, 22] Generated Node #0,2: 47:[28, 76, 22] Operation: 11+11=22 Exploring Operation: 28+11=39, Resulting Numbers: [11, 76, 39] Generated Node #0,3: 47:[11, 76, 39] Operation: 28+11=39 Moving to Node #0,0 Current State: 47:[11, 76, 39], Operations: ['11+28=39'] Exploring Operation: 76-11=65, Resulting Numbers: [39, 65] Generated Node #0,0,0: 47:[39, 65] Operation: 76-11=65 Exploring Operation: 76-39=37, Resulting Numbers: [11, 37] Generated Node #0,0,1: 47:[11, 37] Operation: 76-39=37 Exploring Operation: 11+39=50, Resulting Numbers: [76, 50] Generated Node #0,0,2: 47:[76, 50] Operation: 11+39=50 Exploring Operation: 11+76=87, Resulting Numbers: [39, 87] Generated Node #0,0,3: 47:[39, 87] Operation: 11+76=87 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 47:[39, 65], Operations: ['11+28=39', '76-11=65'] Exploring Operation: 65-39=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 39*65=2535, Resulting Numbers: [2535] 2535,47 unequal: No Solution Exploring Operation: 39+65=104, Resulting Numbers: [104] 104,47 unequal: No Solution No 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: 47:[76, 50], Operations: ['11+28=39', '11+39=50'] Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 76+50=126, Resulting Numbers: [126] 126,47 unequal: No Solution Exploring Operation: 76*50=3800, Resulting Numbers: [3800] 3800,47 unequal: No Solution No 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: 47:[11, 37], Operations: ['11+28=39', '76-39=37'] Exploring Operation: 11*37=407, Resulting Numbers: [407] 407,47 unequal: No Solution Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,47 unequal: No Solution No 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: 47:[39, 87], Operations: ['11+28=39', '11+76=87'] Exploring Operation: 39+87=126, Resulting Numbers: [126] 126,47 unequal: No Solution Exploring Operation: 87-39=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 39*87=3393, Resulting Numbers: [3393] 3393,47 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: 47:[28, 76, 22], Operations: ['11+11=22'] Exploring Operation: 76-28=48, Resulting Numbers: [22, 48] Generated Node #0,2,0: 47:[22, 48] Operation: 76-28=48 Exploring Operation: 76-22=54, Resulting Numbers: [28, 54] Generated Node #0,2,1: 47:[28, 54] Operation: 76-22=54 Exploring Operation: 28-22=6, Resulting Numbers: [76, 6] Generated Node #0,2,2: 47:[76, 6] Operation: 28-22=6 Exploring Operation: 28+22=50, Resulting Numbers: [76, 50] Generated Node #0,2,3: 47:[76, 50] Operation: 28+22=50 Moving to Node #0,1 Current State: 47:[28, 11, 65], Operations: ['76-11=65'] Exploring Operation: 28+11=39, Resulting Numbers: [65, 39] Generated Node #0,1,0: 47:[65, 39] Operation: 28+11=39 Exploring Operation: 65-11=54, Resulting Numbers: [28, 54] Generated Node #0,1,1: 47:[28, 54] Operation: 65-11=54 Exploring Operation: 28-11=17, Resulting Numbers: [65, 17] Generated Node #0,1,2: 47:[65, 17] Operation: 28-11=17 Exploring Operation: 65-28=37, Resulting Numbers: [11, 37] Generated Node #0,1,3: 47:[11, 37] Operation: 65-28=37 Moving to Node #0,3 Current State: 47:[11, 76, 39], Operations: ['28+11=39'] Exploring Operation: 11+39=50, Resulting Numbers: [76, 50] Generated Node #0,3,0: 47:[76, 50] Operation: 11+39=50 Exploring Operation: 76-39=37, Resulting Numbers: [11, 37] Generated Node #0,3,1: 47:[11, 37] Operation: 76-39=37 Exploring Operation: 11+76=87, Resulting Numbers: [39, 87] Generated Node #0,3,2: 47:[39, 87] Operation: 11+76=87 Exploring Operation: 76-11=65, Resulting Numbers: [39, 65] Generated Node #0,3,3: 47:[39, 65] Operation: 76-11=65 Moving to Node #0,2,0 Current State: 47:[22, 48], Operations: ['11+11=22', '76-28=48'] Exploring Operation: 22*48=1056, Resulting Numbers: [1056] 1056,47 unequal: No Solution Exploring Operation: 22+48=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 48-22=26, Resulting Numbers: [26] 26,47 unequal: No Solution Moving to Node #0,1,1 Current State: 47:[28, 54], Operations: ['76-11=65', '65-11=54'] Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,47 unequal: No Solution Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 28*54=1512, Resulting Numbers: [1512] 1512,47 unequal: No Solution Moving to Node #0,2,1 Current State: 47:[28, 54], Operations: ['11+11=22', '76-22=54'] Exploring Operation: 54-28=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 28+54=82, Resulting Numbers: [82] 82,47 unequal: No Solution Exploring Operation: 28*54=1512, Resulting Numbers: [1512] 1512,47 unequal: No Solution Moving to Node #0,1,0 Current State: 47:[65, 39], Operations: ['76-11=65', '28+11=39'] Exploring Operation: 65*39=2535, Resulting Numbers: [2535] 2535,47 unequal: No Solution Exploring Operation: 65-39=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 65+39=104, Resulting Numbers: [104] 104,47 unequal: No Solution Moving to Node #0,3,3 Current State: 47:[39, 65], Operations: ['28+11=39', '76-11=65'] Exploring Operation: 65-39=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 39+65=104, Resulting Numbers: [104] 104,47 unequal: No Solution Exploring Operation: 39*65=2535, Resulting Numbers: [2535] 2535,47 unequal: No Solution Moving to Node #0,2,3 Current State: 47:[76, 50], Operations: ['11+11=22', '28+22=50'] Exploring Operation: 76*50=3800, Resulting Numbers: [3800] 3800,47 unequal: No Solution Exploring Operation: 76+50=126, Resulting Numbers: [126] 126,47 unequal: No Solution Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,47 unequal: No Solution Moving to Node #0,3,0 Current State: 47:[76, 50], Operations: ['28+11=39', '11+39=50'] Exploring Operation: 76+50=126, Resulting Numbers: [126] 126,47 unequal: No Solution Exploring Operation: 76*50=3800, Resulting Numbers: [3800] 3800,47 unequal: No Solution Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,47 unequal: No Solution Moving to Node #0,1,3 Current State: 47:[11, 37], Operations: ['76-11=65', '65-28=37'] Exploring Operation: 11*37=407, Resulting Numbers: [407] 407,47 unequal: No Solution Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,47 unequal: No Solution Moving to Node #0,3,1 Current State: 47:[11, 37], Operations: ['28+11=39', '76-39=37'] Exploring Operation: 11+37=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 37-11=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 11*37=407, Resulting Numbers: [407] 407,47 unequal: No Solution Moving to Node #0,3,2 Current State: 47:[39, 87], Operations: ['28+11=39', '11+76=87'] Exploring Operation: 87-39=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 39*87=3393, Resulting Numbers: [3393] 3393,47 unequal: No Solution Exploring Operation: 39+87=126, Resulting Numbers: [126] 126,47 unequal: No Solution Moving to Node #0,1,2 Current State: 47:[65, 17], Operations: ['76-11=65', '28-11=17'] Exploring Operation: 65*17=1105, Resulting Numbers: [1105] 1105,47 unequal: No Solution Exploring Operation: 65-17=48, Resulting Numbers: [48] 48,47 unequal: No Solution Exploring Operation: 65+17=82, Resulting Numbers: [82] 82,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[76, 6], Operations: ['11+11=22', '28-22=6'] Exploring Operation: 76-6=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,47 unequal: No Solution Exploring Operation: 76*6=456, Resulting Numbers: [456] 456,47 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 90, 11, 10, 18 ]
73
[ "90+11=101", "10+18=28", "101-28=73" ]
Current State: 73:[90, 11, 10, 18], Operations: [] Exploring Operation: 90+11=101, Resulting Numbers: [10, 18, 101] Generated Node #2: [10, 18, 101] from Operation: 90+11=101 Current State: 73:[10, 18, 101], Operations: ['90+11=101'] Exploring Operation: 10+18=28, Resulting Numbers: [101, 28] Generated Node #3: [101, 28] from Operation: 10+18=28 Current State: 73:[101, 28], Operations: ['90+11=101', '10+18=28'] Exploring Operation: 101-28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[90, 11, 10, 18], Operations: [] Exploring Operation: 11*10=110, Resulting Numbers: [90, 18, 110] Generated Node #0,0: 73:[90, 18, 110] Operation: 11*10=110 Moving to Node #0,0 Current State: 73:[90, 18, 110], Operations: ['11*10=110'] Exploring Operation: 110-18=92, Resulting Numbers: [90, 92] Generated Node #0,0,0: 73:[90, 92] Operation: 110-18=92 Moving to Node #0,0,0 Current State: 73:[90, 92], Operations: ['11*10=110', '110-18=92'] Exploring Operation: 92-90=2, Resulting Numbers: [2] 2,73 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 30, 24, 47, 51 ]
72
[ "47-30=17", "24*51=1224", "1224/17=72" ]
Current State: 72:[30, 24, 47, 51], Operations: [] Exploring Operation: 47-30=17, Resulting Numbers: [24, 51, 17] Generated Node #2: [24, 51, 17] from Operation: 47-30=17 Current State: 72:[24, 51, 17], Operations: ['47-30=17'] Exploring Operation: 24*51=1224, Resulting Numbers: [17, 1224] Generated Node #3: [17, 1224] from Operation: 24*51=1224 Current State: 72:[17, 1224], Operations: ['47-30=17', '24*51=1224'] Exploring Operation: 1224/17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[30, 24, 47, 51], Operations: [] Exploring Operation: 51-47=4, Resulting Numbers: [30, 24, 4] Generated Node #0,0: 72:[30, 24, 4] Operation: 51-47=4 Moving to Node #0,0 Current State: 72:[30, 24, 4], Operations: ['51-47=4'] Exploring Operation: 30-24=6, Resulting Numbers: [4, 6] Generated Node #0,0,0: 72:[4, 6] Operation: 30-24=6 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 72:[4, 6], Operations: ['51-47=4', '30-24=6'] Exploring Operation: 4*6=24, Resulting Numbers: [24] 24,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 60, 96, 96, 17 ]
78
[ "60+17=77", "96/96=1", "77+1=78" ]
Current State: 78:[60, 96, 96, 17], Operations: [] Exploring Operation: 60+17=77, Resulting Numbers: [96, 96, 77] Generated Node #2: [96, 96, 77] from Operation: 60+17=77 Current State: 78:[96, 96, 77], Operations: ['60+17=77'] Exploring Operation: 96/96=1, Resulting Numbers: [77, 1] Generated Node #3: [77, 1] from Operation: 96/96=1 Current State: 78:[77, 1], Operations: ['60+17=77', '96/96=1'] Exploring Operation: 77+1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[60, 96, 96, 17], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [60, 17, 1] Generated Node #0,0: 78:[60, 17, 1] Operation: 96/96=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[60, 17, 1], Operations: ['96/96=1'] Exploring Operation: 60+17=77, Resulting Numbers: [1, 77] Generated Node #0,0,0: 78:[1, 77] Operation: 60+17=77 Moving to Node #0,0,0 Current State: 78:[1, 77], Operations: ['96/96=1', '60+17=77'] Exploring Operation: 1+77=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Moving to Node #0 Current State: 78:[60, 96, 96, 17], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [60, 17, 1] Generated Node #0,0: 78:[60, 17, 1] Operation: 96/96=1 Moving to Node #0,0 Current State: 78:[60, 17, 1], Operations: ['96/96=1'] Exploring Operation: 60+17=77, Resulting Numbers: [1, 77] Generated Node #0,0,0: 78:[1, 77] Operation: 60+17=77 Moving to Node #0,0,0 Current State: 78:[1, 77], Operations: ['96/96=1', '60+17=77'] Exploring Operation: 1+77=78, Resulting Numbers: [78] 78,78 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 68, 70, 9, 30 ]
89
[ "70*9=630", "630/30=21", "68+21=89" ]
Current State: 89:[68, 70, 9, 30], Operations: [] Exploring Operation: 70*9=630, Resulting Numbers: [68, 30, 630] Generated Node #2: [68, 30, 630] from Operation: 70*9=630 Current State: 89:[68, 30, 630], Operations: ['70*9=630'] Exploring Operation: 630/30=21, Resulting Numbers: [68, 21] Generated Node #3: [68, 21] from Operation: 630/30=21 Current State: 89:[68, 21], Operations: ['70*9=630', '630/30=21'] Exploring Operation: 68+21=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[68, 70, 9, 30], Operations: [] Exploring Operation: 9+30=39, Resulting Numbers: [68, 70, 39] Generated Node #0,0: 89:[68, 70, 39] Operation: 9+30=39 Exploring Operation: 70+9=79, Resulting Numbers: [68, 30, 79] Generated Node #0,1: 89:[68, 30, 79] Operation: 70+9=79 Exploring Operation: 68+9=77, Resulting Numbers: [70, 30, 77] Generated Node #0,2: 89:[70, 30, 77] Operation: 68+9=77 Start Sub Search at level 1: Moving to Node #0,0 Current State: 89:[68, 70, 39], Operations: ['9+30=39'] Exploring Operation: 68-39=29, Resulting Numbers: [70, 29] Generated Node #0,0,0: 89:[70, 29] Operation: 68-39=29 Exploring Operation: 68+39=107, Resulting Numbers: [70, 107] Generated Node #0,0,1: 89:[70, 107] Operation: 68+39=107 Exploring Operation: 70+39=109, Resulting Numbers: [68, 109] Generated Node #0,0,2: 89:[68, 109] Operation: 70+39=109 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 89:[70, 107], Operations: ['9+30=39', '68+39=107'] Exploring Operation: 107-70=37, Resulting Numbers: [37] 37,89 unequal: No Solution Exploring Operation: 70*107=7490, Resulting Numbers: [7490] 7490,89 unequal: No Solution Exploring Operation: 70+107=177, Resulting Numbers: [177] 177,89 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: 89:[68, 109], Operations: ['9+30=39', '70+39=109'] Exploring Operation: 109-68=41, Resulting Numbers: [41] 41,89 unequal: No Solution Exploring Operation: 68+109=177, Resulting Numbers: [177] 177,89 unequal: No Solution Exploring Operation: 68*109=7412, Resulting Numbers: [7412] 7412,89 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: 89:[70, 29], Operations: ['9+30=39', '68-39=29'] Exploring Operation: 70+29=99, Resulting Numbers: [99] 99,89 unequal: No Solution Exploring Operation: 70-29=41, Resulting Numbers: [41] 41,89 unequal: No Solution Exploring Operation: 70*29=2030, Resulting Numbers: [2030] 2030,89 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: 89:[68, 30, 79], Operations: ['70+9=79'] Exploring Operation: 30+79=109, Resulting Numbers: [68, 109] Generated Node #0,1,0: 89:[68, 109] Operation: 30+79=109 Exploring Operation: 68-30=38, Resulting Numbers: [79, 38] Generated Node #0,1,1: 89:[79, 38] Operation: 68-30=38 Exploring Operation: 68+30=98, Resulting Numbers: [79, 98] Generated Node #0,1,2: 89:[79, 98] Operation: 68+30=98 Moving to Node #0,1,2 Current State: 89:[79, 98], Operations: ['70+9=79', '68+30=98'] Exploring Operation: 98-79=19, Resulting Numbers: [19] 19,89 unequal: No Solution Exploring Operation: 79*98=7742, Resulting Numbers: [7742] 7742,89 unequal: No Solution Exploring Operation: 79+98=177, Resulting Numbers: [177] 177,89 unequal: No Solution Moving to Node #0,1,0 Current State: 89:[68, 109], Operations: ['70+9=79', '30+79=109'] Exploring Operation: 68*109=7412, Resulting Numbers: [7412] 7412,89 unequal: No Solution Exploring Operation: 109-68=41, Resulting Numbers: [41] 41,89 unequal: No Solution Exploring Operation: 68+109=177, Resulting Numbers: [177] 177,89 unequal: No Solution Moving to Node #0,1,1 Current State: 89:[79, 38], Operations: ['70+9=79', '68-30=38'] Exploring Operation: 79-38=41, Resulting Numbers: [41] 41,89 unequal: No Solution Exploring Operation: 79+38=117, Resulting Numbers: [117] 117,89 unequal: No Solution Exploring Operation: 79*38=3002, Resulting Numbers: [3002] 3002,89 unequal: No Solution No 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: 89:[70, 30, 77], Operations: ['68+9=77'] Exploring Operation: 70+30=100, Resulting Numbers: [77, 100] Generated Node #0,2,0: 89:[77, 100] Operation: 70+30=100 Exploring Operation: 70-30=40, Resulting Numbers: [77, 40] Generated Node #0,2,1: 89:[77, 40] Operation: 70-30=40 Exploring Operation: 30+77=107, Resulting Numbers: [70, 107] Generated Node #0,2,2: 89:[70, 107] Operation: 30+77=107 Moving to Node #0,2,0 Current State: 89:[77, 100], Operations: ['68+9=77', '70+30=100'] Exploring Operation: 100-77=23, Resulting Numbers: [23] 23,89 unequal: No Solution Exploring Operation: 77*100=7700, Resulting Numbers: [7700] 7700,89 unequal: No Solution Exploring Operation: 77+100=177, Resulting Numbers: [177] 177,89 unequal: No Solution Moving to Node #0,2,2 Current State: 89:[70, 107], Operations: ['68+9=77', '30+77=107'] Exploring Operation: 70*107=7490, Resulting Numbers: [7490] 7490,89 unequal: No Solution Exploring Operation: 107-70=37, Resulting Numbers: [37] 37,89 unequal: No Solution Exploring Operation: 70+107=177, Resulting Numbers: [177] 177,89 unequal: No Solution Moving to Node #0,2,1 Current State: 89:[77, 40], Operations: ['68+9=77', '70-30=40'] Exploring Operation: 77-40=37, Resulting Numbers: [37] 37,89 unequal: No Solution Exploring Operation: 77*40=3080, Resulting Numbers: [3080] 3080,89 unequal: No Solution Exploring Operation: 77+40=117, Resulting Numbers: [117] 117,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 65, 60, 62, 57 ]
37
[ "65-62=3", "60/3=20", "57-20=37" ]
Current State: 37:[65, 60, 62, 57], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [60, 57, 3] Generated Node #2: [60, 57, 3] from Operation: 65-62=3 Current State: 37:[60, 57, 3], Operations: ['65-62=3'] Exploring Operation: 60/3=20, Resulting Numbers: [57, 20] Generated Node #3: [57, 20] from Operation: 60/3=20 Current State: 37:[57, 20], Operations: ['65-62=3', '60/3=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[65, 60, 62, 57], Operations: [] Exploring Operation: 62-60=2, Resulting Numbers: [65, 57, 2] Generated Node #0,0: 37:[65, 57, 2] Operation: 62-60=2 Exploring Operation: 65-62=3, Resulting Numbers: [60, 57, 3] Generated Node #0,1: 37:[60, 57, 3] Operation: 65-62=3 Exploring Operation: 65-60=5, Resulting Numbers: [62, 57, 5] Generated Node #0,2: 37:[62, 57, 5] Operation: 65-60=5 Exploring Operation: 65-57=8, Resulting Numbers: [60, 62, 8] Generated Node #0,3: 37:[60, 62, 8] Operation: 65-57=8 Moving to Node #0,1 Current State: 37:[60, 57, 3], Operations: ['65-62=3'] Exploring Operation: 57/3=19, Resulting Numbers: [60, 19] Generated Node #0,1,0: 37:[60, 19] Operation: 57/3=19 Exploring Operation: 60-3=57, Resulting Numbers: [57, 57] Generated Node #0,1,1: 37:[57, 57] Operation: 60-3=57 Exploring Operation: 60/3=20, Resulting Numbers: [57, 20] Generated Node #0,1,2: 37:[57, 20] Operation: 60/3=20 Exploring Operation: 57-3=54, Resulting Numbers: [60, 54] Generated Node #0,1,3: 37:[60, 54] Operation: 57-3=54 Moving to Node #0,3 Current State: 37:[60, 62, 8], Operations: ['65-57=8'] Exploring Operation: 62-8=54, Resulting Numbers: [60, 54] Generated Node #0,3,0: 37:[60, 54] Operation: 62-8=54 Exploring Operation: 60+8=68, Resulting Numbers: [62, 68] Generated Node #0,3,1: 37:[62, 68] Operation: 60+8=68 Exploring Operation: 60-8=52, Resulting Numbers: [62, 52] Generated Node #0,3,2: 37:[62, 52] Operation: 60-8=52 Exploring Operation: 62+8=70, Resulting Numbers: [60, 70] Generated Node #0,3,3: 37:[60, 70] Operation: 62+8=70 Moving to Node #0,2 Current State: 37:[62, 57, 5], Operations: ['65-60=5'] Exploring Operation: 62-5=57, Resulting Numbers: [57, 57] Generated Node #0,2,0: 37:[57, 57] Operation: 62-5=57 Exploring Operation: 57-5=52, Resulting Numbers: [62, 52] Generated Node #0,2,1: 37:[62, 52] Operation: 57-5=52 Exploring Operation: 57+5=62, Resulting Numbers: [62, 62] Generated Node #0,2,2: 37:[62, 62] Operation: 57+5=62 Exploring Operation: 62+5=67, Resulting Numbers: [57, 67] Generated Node #0,2,3: 37:[57, 67] Operation: 62+5=67 Moving to Node #0,0 Current State: 37:[65, 57, 2], Operations: ['62-60=2'] Exploring Operation: 57+2=59, Resulting Numbers: [65, 59] Generated Node #0,0,0: 37:[65, 59] Operation: 57+2=59 Exploring Operation: 65+2=67, Resulting Numbers: [57, 67] Generated Node #0,0,1: 37:[57, 67] Operation: 65+2=67 Exploring Operation: 65-2=63, Resulting Numbers: [57, 63] Generated Node #0,0,2: 37:[57, 63] Operation: 65-2=63 Exploring Operation: 57-2=55, Resulting Numbers: [65, 55] Generated Node #0,0,3: 37:[65, 55] Operation: 57-2=55 Moving to Node #0,1,2 Current State: 37:[57, 20], Operations: ['65-62=3', '60/3=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[65, 60, 62, 57], Operations: [] Exploring Operation: 65-62=3, Resulting Numbers: [60, 57, 3] Generated Node #0,1: 37:[60, 57, 3] Operation: 65-62=3 Moving to Node #0,1 Current State: 37:[60, 57, 3], Operations: ['65-62=3'] Exploring Operation: 60/3=20, Resulting Numbers: [57, 20] Generated Node #0,1,2: 37:[57, 20] Operation: 60/3=20 Moving to Node #0,1,2 Current State: 37:[57, 20], Operations: ['65-62=3', '60/3=20'] Exploring Operation: 57-20=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
0.978299
hs_4
mult_heuristic
[ 23, 45, 12, 76 ]
96
[ "23+45=68", "76-68=8", "12*8=96" ]
Current State: 96:[23, 45, 12, 76], Operations: [] Exploring Operation: 23+45=68, Resulting Numbers: [12, 76, 68] Generated Node #2: [12, 76, 68] from Operation: 23+45=68 Current State: 96:[12, 76, 68], Operations: ['23+45=68'] Exploring Operation: 76-68=8, Resulting Numbers: [12, 8] Generated Node #3: [12, 8] from Operation: 76-68=8 Current State: 96:[12, 8], Operations: ['23+45=68', '76-68=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[23, 45, 12, 76], Operations: [] Exploring Operation: 76-12=64, Resulting Numbers: [23, 45, 64] Generated Node #0,0: 96:[23, 45, 64] Operation: 76-12=64 Exploring Operation: 23+76=99, Resulting Numbers: [45, 12, 99] Generated Node #0,1: 96:[45, 12, 99] Operation: 23+76=99 Exploring Operation: 76-23=53, Resulting Numbers: [45, 12, 53] Generated Node #0,2: 96:[45, 12, 53] Operation: 76-23=53 Exploring Operation: 12+76=88, Resulting Numbers: [23, 45, 88] Generated Node #0,3: 96:[23, 45, 88] Operation: 12+76=88 Exploring Operation: 76-45=31, Resulting Numbers: [23, 12, 31] Generated Node #0,4: 96:[23, 12, 31] Operation: 76-45=31 Moving to Node #0,4 Current State: 96:[23, 12, 31], Operations: ['76-45=31'] Exploring Operation: 23+12=35, Resulting Numbers: [31, 35] Generated Node #0,4,0: 96:[31, 35] Operation: 23+12=35 Exploring Operation: 23-12=11, Resulting Numbers: [31, 11] Generated Node #0,4,1: 96:[31, 11] Operation: 23-12=11 Exploring Operation: 31-12=19, Resulting Numbers: [23, 19] Generated Node #0,4,2: 96:[23, 19] Operation: 31-12=19 Exploring Operation: 31-23=8, Resulting Numbers: [12, 8] Generated Node #0,4,3: 96:[12, 8] Operation: 31-23=8 Exploring Operation: 23+31=54, Resulting Numbers: [12, 54] Generated Node #0,4,4: 96:[12, 54] Operation: 23+31=54 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 96:[12, 8], Operations: ['76-45=31', '31-23=8'] Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,96 unequal: No Solution Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,96 unequal: No Solution Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[23, 45, 12, 76], Operations: [] Exploring Operation: 76-45=31, Resulting Numbers: [23, 12, 31] Generated Node #0,4: 96:[23, 12, 31] Operation: 76-45=31 Moving to Node #0,4 Current State: 96:[23, 12, 31], Operations: ['76-45=31'] Exploring Operation: 31-23=8, Resulting Numbers: [12, 8] Generated Node #0,4,3: 96:[12, 8] Operation: 31-23=8 Moving to Node #0,4,3 Current State: 96:[12, 8], Operations: ['76-45=31', '31-23=8'] Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 71, 42, 52, 33 ]
84
[ "71+33=104", "42*104=4368", "4368/52=84" ]
Current State: 84:[71, 42, 52, 33], Operations: [] Exploring Operation: 71+33=104, Resulting Numbers: [42, 52, 104] Generated Node #2: [42, 52, 104] from Operation: 71+33=104 Current State: 84:[42, 52, 104], Operations: ['71+33=104'] Exploring Operation: 42*104=4368, Resulting Numbers: [52, 4368] Generated Node #3: [52, 4368] from Operation: 42*104=4368 Current State: 84:[52, 4368], Operations: ['71+33=104', '42*104=4368'] Exploring Operation: 4368/52=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[71, 42, 52, 33], Operations: [] Exploring Operation: 71-52=19, Resulting Numbers: [42, 33, 19] Generated Node #0,0: 84:[42, 33, 19] Operation: 71-52=19 Exploring Operation: 52+33=85, Resulting Numbers: [71, 42, 85] Generated Node #0,1: 84:[71, 42, 85] Operation: 52+33=85 Exploring Operation: 71-33=38, Resulting Numbers: [42, 52, 38] Generated Node #0,2: 84:[42, 52, 38] Operation: 71-33=38 Moving to Node #0,0 Current State: 84:[42, 33, 19], Operations: ['71-52=19'] Exploring Operation: 42-19=23, Resulting Numbers: [33, 23] Generated Node #0,0,0: 84:[33, 23] Operation: 42-19=23 Exploring Operation: 33-19=14, Resulting Numbers: [42, 14] Generated Node #0,0,1: 84:[42, 14] Operation: 33-19=14 Exploring Operation: 42-33=9, Resulting Numbers: [19, 9] Generated Node #0,0,2: 84:[19, 9] Operation: 42-33=9 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 84:[42, 14], Operations: ['71-52=19', '33-19=14'] Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 42+14=56, Resulting Numbers: [56] 56,84 unequal: No Solution Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,84 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 #0,0,2 Current State: 84:[19, 9], Operations: ['71-52=19', '42-33=9'] Exploring Operation: 19*9=171, Resulting Numbers: [171] 171,84 unequal: No Solution Exploring Operation: 19-9=10, Resulting Numbers: [10] 10,84 unequal: No Solution Exploring Operation: 19+9=28, Resulting Numbers: [28] 28,84 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 #0,0,0 Current State: 84:[33, 23], Operations: ['71-52=19', '42-19=23'] Exploring Operation: 33+23=56, Resulting Numbers: [56] 56,84 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,84 unequal: No Solution Exploring Operation: 33*23=759, Resulting Numbers: [759] 759,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 84:[71, 42, 85], Operations: ['52+33=85'] Exploring Operation: 71-42=29, Resulting Numbers: [85, 29] Generated Node #0,1,0: 84:[85, 29] Operation: 71-42=29 Exploring Operation: 85-71=14, Resulting Numbers: [42, 14] Generated Node #0,1,1: 84:[42, 14] Operation: 85-71=14 Exploring Operation: 85-42=43, Resulting Numbers: [71, 43] Generated Node #0,1,2: 84:[71, 43] Operation: 85-42=43 Moving to Node #0,2 Current State: 84:[42, 52, 38], Operations: ['71-33=38'] Exploring Operation: 52-38=14, Resulting Numbers: [42, 14] Generated Node #0,2,0: 84:[42, 14] Operation: 52-38=14 Exploring Operation: 52+38=90, Resulting Numbers: [42, 90] Generated Node #0,2,1: 84:[42, 90] Operation: 52+38=90 Exploring Operation: 52-42=10, Resulting Numbers: [38, 10] Generated Node #0,2,2: 84:[38, 10] Operation: 52-42=10 Moving to Node #0,1,1 Current State: 84:[42, 14], Operations: ['52+33=85', '85-71=14'] Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,84 unequal: No Solution Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 42+14=56, Resulting Numbers: [56] 56,84 unequal: No Solution Moving to Node #0,2,0 Current State: 84:[42, 14], Operations: ['71-33=38', '52-38=14'] Exploring Operation: 42+14=56, Resulting Numbers: [56] 56,84 unequal: No Solution Exploring Operation: 42/14=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 42-14=28, Resulting Numbers: [28] 28,84 unequal: No Solution Moving to Node #0,1,0 Current State: 84:[85, 29], Operations: ['52+33=85', '71-42=29'] Exploring Operation: 85-29=56, Resulting Numbers: [56] 56,84 unequal: No Solution Exploring Operation: 85+29=114, Resulting Numbers: [114] 114,84 unequal: No Solution Exploring Operation: 85*29=2465, Resulting Numbers: [2465] 2465,84 unequal: No Solution Moving to Node #0,2,2 Current State: 84:[38, 10], Operations: ['71-33=38', '52-42=10'] Exploring Operation: 38-10=28, Resulting Numbers: [28] 28,84 unequal: No Solution Exploring Operation: 38*10=380, Resulting Numbers: [380] 380,84 unequal: No Solution Exploring Operation: 38+10=48, Resulting Numbers: [48] 48,84 unequal: No Solution Moving to Node #0,2,1 Current State: 84:[42, 90], Operations: ['71-33=38', '52+38=90'] Exploring Operation: 42*90=3780, Resulting Numbers: [3780] 3780,84 unequal: No Solution Exploring Operation: 42+90=132, Resulting Numbers: [132] 132,84 unequal: No Solution Exploring Operation: 90-42=48, Resulting Numbers: [48] 48,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[71, 43], Operations: ['52+33=85', '85-42=43'] Exploring Operation: 71-43=28, Resulting Numbers: [28] 28,84 unequal: No Solution Exploring Operation: 71+43=114, Resulting Numbers: [114] 114,84 unequal: No Solution Exploring Operation: 71*43=3053, Resulting Numbers: [3053] 3053,84 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 15, 47, 31, 85 ]
87
[ "15+47=62", "62/31=2", "85+2=87" ]
Current State: 87:[15, 47, 31, 85], Operations: [] Exploring Operation: 15+47=62, Resulting Numbers: [31, 85, 62] Generated Node #2: [31, 85, 62] from Operation: 15+47=62 Current State: 87:[31, 85, 62], Operations: ['15+47=62'] Exploring Operation: 62/31=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 62/31=2 Current State: 87:[85, 2], Operations: ['15+47=62', '62/31=2'] Exploring Operation: 85+2=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[15, 47, 31, 85], Operations: [] Exploring Operation: 47-15=32, Resulting Numbers: [31, 85, 32] Generated Node #0,0: 87:[31, 85, 32] Operation: 47-15=32 Start Sub Search at level 1: Moving to Node #0,0 Current State: 87:[31, 85, 32], Operations: ['47-15=32'] Exploring Operation: 32-31=1, Resulting Numbers: [85, 1] Generated Node #0,0,0: 87:[85, 1] Operation: 32-31=1 Moving to Node #0,0,0 Current State: 87:[85, 1], Operations: ['47-15=32', '32-31=1'] Exploring Operation: 85+1=86, Resulting Numbers: [86] 86,87 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
[ 3, 21, 27, 13 ]
98
[ "21/3=7", "27-13=14", "7*14=98" ]
Current State: 98:[3, 21, 27, 13], Operations: [] Exploring Operation: 21/3=7, Resulting Numbers: [27, 13, 7] Generated Node #2: [27, 13, 7] from Operation: 21/3=7 Current State: 98:[27, 13, 7], Operations: ['21/3=7'] Exploring Operation: 27-13=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 27-13=14 Current State: 98:[7, 14], Operations: ['21/3=7', '27-13=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[3, 21, 27, 13], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [3, 21, 14] Generated Node #0,0: 98:[3, 21, 14] Operation: 27-13=14 Exploring Operation: 21+27=48, Resulting Numbers: [3, 13, 48] Generated Node #0,1: 98:[3, 13, 48] Operation: 21+27=48 Exploring Operation: 27-21=6, Resulting Numbers: [3, 13, 6] Generated Node #0,2: 98:[3, 13, 6] Operation: 27-21=6 Exploring Operation: 27/3=9, Resulting Numbers: [21, 13, 9] Generated Node #0,3: 98:[21, 13, 9] Operation: 27/3=9 Start Sub Search at level 1: Moving to Node #0,1 Current State: 98:[3, 13, 48], Operations: ['21+27=48'] Exploring Operation: 3+48=51, Resulting Numbers: [13, 51] Generated Node #0,1,0: 98:[13, 51] Operation: 3+48=51 Exploring Operation: 48/3=16, Resulting Numbers: [13, 16] Generated Node #0,1,1: 98:[13, 16] Operation: 48/3=16 Exploring Operation: 3+13=16, Resulting Numbers: [48, 16] Generated Node #0,1,2: 98:[48, 16] Operation: 3+13=16 Exploring Operation: 13-3=10, Resulting Numbers: [48, 10] Generated Node #0,1,3: 98:[48, 10] Operation: 13-3=10 Moving to Node #0,1,0 Current State: 98:[13, 51], Operations: ['21+27=48', '3+48=51'] Exploring Operation: 13+51=64, Resulting Numbers: [64] 64,98 unequal: No Solution Exploring Operation: 13*51=663, Resulting Numbers: [663] 663,98 unequal: No Solution Exploring Operation: 51-13=38, Resulting Numbers: [38] 38,98 unequal: No Solution Moving to Node #0,1,2 Current State: 98:[48, 16], Operations: ['21+27=48', '3+13=16'] Exploring Operation: 48+16=64, Resulting Numbers: [64] 64,98 unequal: No Solution Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,98 unequal: No Solution Exploring Operation: 48*16=768, Resulting Numbers: [768] 768,98 unequal: No Solution Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[13, 16], Operations: ['21+27=48', '48/3=16'] Exploring Operation: 16-13=3, Resulting Numbers: [3] 3,98 unequal: No Solution Exploring Operation: 13*16=208, Resulting Numbers: [208] 208,98 unequal: No Solution Exploring Operation: 13+16=29, Resulting Numbers: [29] 29,98 unequal: No Solution Moving to Node #0,1,3 Current State: 98:[48, 10], Operations: ['21+27=48', '13-3=10'] Exploring Operation: 48*10=480, Resulting Numbers: [480] 480,98 unequal: No Solution Exploring Operation: 48+10=58, Resulting Numbers: [58] 58,98 unequal: No Solution Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,98 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:[3, 13, 6], Operations: ['27-21=6'] Exploring Operation: 13-6=7, Resulting Numbers: [3, 7] Generated Node #0,2,0: 98:[3, 7] Operation: 13-6=7 Exploring Operation: 6-3=3, Resulting Numbers: [13, 3] Generated Node #0,2,1: 98:[13, 3] Operation: 6-3=3 Exploring Operation: 3+13=16, Resulting Numbers: [6, 16] Generated Node #0,2,2: 98:[6, 16] Operation: 3+13=16 Exploring Operation: 6/3=2, Resulting Numbers: [13, 2] Generated Node #0,2,3: 98:[13, 2] Operation: 6/3=2 Moving to Node #0,2,0 Current State: 98:[3, 7], Operations: ['27-21=6', '13-6=7'] Exploring Operation: 3+7=10, Resulting Numbers: [10] 10,98 unequal: No Solution Exploring Operation: 3*7=21, Resulting Numbers: [21] 21,98 unequal: No Solution Exploring Operation: 7-3=4, Resulting Numbers: [4] 4,98 unequal: No Solution Moving to Node #0,2,3 Current State: 98:[13, 2], Operations: ['27-21=6', '6/3=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,98 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,98 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,98 unequal: No Solution Moving to Node #0,2,1 Current State: 98:[13, 3], Operations: ['27-21=6', '6-3=3'] Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,98 unequal: No Solution Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,98 unequal: No Solution Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,98 unequal: No Solution Moving to Node #0,2,2 Current State: 98:[6, 16], Operations: ['27-21=6', '3+13=16'] Exploring Operation: 6*16=96, Resulting Numbers: [96] 96,98 unequal: No Solution Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,98 unequal: No Solution Exploring Operation: 6+16=22, Resulting Numbers: [22] 22,98 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 Current State: 98:[3, 21, 14], Operations: ['27-13=14'] Exploring Operation: 21/3=7, Resulting Numbers: [14, 7] Generated Node #0,0,0: 98:[14, 7] Operation: 21/3=7 Exploring Operation: 21-3=18, Resulting Numbers: [14, 18] Generated Node #0,0,1: 98:[14, 18] Operation: 21-3=18 Exploring Operation: 21-14=7, Resulting Numbers: [3, 7] Generated Node #0,0,2: 98:[3, 7] Operation: 21-14=7 Exploring Operation: 3+21=24, Resulting Numbers: [14, 24] Generated Node #0,0,3: 98:[14, 24] Operation: 3+21=24 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 98:[14, 7], Operations: ['27-13=14', '21/3=7'] Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,98 unequal: No Solution Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,98 unequal: No Solution Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[3, 21, 27, 13], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [3, 21, 14] Generated Node #0,0: 98:[3, 21, 14] Operation: 27-13=14 Moving to Node #0,0 Current State: 98:[3, 21, 14], Operations: ['27-13=14'] Exploring Operation: 21/3=7, Resulting Numbers: [14, 7] Generated Node #0,0,0: 98:[14, 7] Operation: 21/3=7 Moving to Node #0,0,0 Current State: 98:[14, 7], Operations: ['27-13=14', '21/3=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.958333
hs_4
sum_heuristic
[ 35, 36, 70, 64 ]
98
[ "70/35=2", "36+64=100", "100-2=98" ]
Current State: 98:[35, 36, 70, 64], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [36, 64, 2] Generated Node #2: [36, 64, 2] from Operation: 70/35=2 Current State: 98:[36, 64, 2], Operations: ['70/35=2'] Exploring Operation: 36+64=100, Resulting Numbers: [2, 100] Generated Node #3: [2, 100] from Operation: 36+64=100 Current State: 98:[2, 100], Operations: ['70/35=2', '36+64=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[35, 36, 70, 64], Operations: [] Exploring Operation: 70-64=6, Resulting Numbers: [35, 36, 6] Generated Node #0,0: 98:[35, 36, 6] Operation: 70-64=6 Exploring Operation: 70/35=2, Resulting Numbers: [36, 64, 2] Generated Node #0,1: 98:[36, 64, 2] Operation: 70/35=2 Moving to Node #0,0 Current State: 98:[35, 36, 6], Operations: ['70-64=6'] Exploring Operation: 36/6=6, Resulting Numbers: [35, 6] Generated Node #0,0,0: 98:[35, 6] Operation: 36/6=6 Exploring Operation: 36-35=1, Resulting Numbers: [6, 1] Generated Node #0,0,1: 98:[6, 1] Operation: 36-35=1 Moving to Node #0,1 Current State: 98:[36, 64, 2], Operations: ['70/35=2'] Exploring Operation: 64-36=28, Resulting Numbers: [2, 28] Generated Node #0,1,0: 98:[2, 28] Operation: 64-36=28 Exploring Operation: 36+64=100, Resulting Numbers: [2, 100] Generated Node #0,1,1: 98:[2, 100] Operation: 36+64=100 Moving to Node #0,0,1 Current State: 98:[6, 1], Operations: ['70-64=6', '36-35=1'] Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,98 unequal: No Solution Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,98 unequal: No Solution Moving to Node #0,1,1 Current State: 98:[2, 100], Operations: ['70/35=2', '36+64=100'] Exploring Operation: 100/2=50, Resulting Numbers: [50] 50,98 unequal: No Solution Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[35, 36, 70, 64], Operations: [] Exploring Operation: 70/35=2, Resulting Numbers: [36, 64, 2] Generated Node #0,1: 98:[36, 64, 2] Operation: 70/35=2 Moving to Node #0,1 Current State: 98:[36, 64, 2], Operations: ['70/35=2'] Exploring Operation: 36+64=100, Resulting Numbers: [2, 100] Generated Node #0,1,1: 98:[2, 100] Operation: 36+64=100 Moving to Node #0,1,1 Current State: 98:[2, 100], Operations: ['70/35=2', '36+64=100'] Exploring Operation: 100-2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
0.987847
hs_2
sum_heuristic
[ 35, 61, 87, 52 ]
70
[ "35*52=1820", "87-61=26", "1820/26=70" ]
Current State: 70:[35, 61, 87, 52], Operations: [] Exploring Operation: 35*52=1820, Resulting Numbers: [61, 87, 1820] Generated Node #2: [61, 87, 1820] from Operation: 35*52=1820 Current State: 70:[61, 87, 1820], Operations: ['35*52=1820'] Exploring Operation: 87-61=26, Resulting Numbers: [1820, 26] Generated Node #3: [1820, 26] from Operation: 87-61=26 Current State: 70:[1820, 26], Operations: ['35*52=1820', '87-61=26'] Exploring Operation: 1820/26=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[35, 61, 87, 52], Operations: [] Exploring Operation: 87-52=35, Resulting Numbers: [35, 61, 35] Generated Node #0,0: 70:[35, 61, 35] Operation: 87-52=35 Exploring Operation: 61-52=9, Resulting Numbers: [35, 87, 9] Generated Node #0,1: 70:[35, 87, 9] Operation: 61-52=9 Exploring Operation: 87-61=26, Resulting Numbers: [35, 52, 26] Generated Node #0,2: 70:[35, 52, 26] Operation: 87-61=26 Exploring Operation: 52-35=17, Resulting Numbers: [61, 87, 17] Generated Node #0,3: 70:[61, 87, 17] Operation: 52-35=17 Start Sub Search at level 1: Moving to Node #0,0 Current State: 70:[35, 61, 35], Operations: ['87-52=35'] Exploring Operation: 61-35=26, Resulting Numbers: [35, 26] Generated Node #0,0,0: 70:[35, 26] Operation: 61-35=26 Exploring Operation: 35/35=1, Resulting Numbers: [61, 1] Generated Node #0,0,1: 70:[61, 1] Operation: 35/35=1 Exploring Operation: 35+35=70, Resulting Numbers: [61, 70] Generated Node #0,0,2: 70:[61, 70] Operation: 35+35=70 Exploring Operation: 61-35=26, Resulting Numbers: [35, 26] Generated Node #0,0,3: 70:[35, 26] Operation: 61-35=26 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 70:[35, 26], Operations: ['87-52=35', '61-35=26'] Exploring Operation: 35*26=910, Resulting Numbers: [910] 910,70 unequal: No Solution Exploring Operation: 35-26=9, Resulting Numbers: [9] 9,70 unequal: No Solution Exploring Operation: 35+26=61, Resulting Numbers: [61] 61,70 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 #0,0,2 Current State: 70:[61, 70], Operations: ['87-52=35', '35+35=70'] Exploring Operation: 61+70=131, Resulting Numbers: [131] 131,70 unequal: No Solution Exploring Operation: 61*70=4270, Resulting Numbers: [4270] 4270,70 unequal: No Solution Exploring Operation: 70-61=9, Resulting Numbers: [9] 9,70 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:[35, 26], Operations: ['87-52=35', '61-35=26'] Exploring Operation: 35-26=9, Resulting Numbers: [9] 9,70 unequal: No Solution Exploring Operation: 35+26=61, Resulting Numbers: [61] 61,70 unequal: No Solution Exploring Operation: 35*26=910, Resulting Numbers: [910] 910,70 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:[61, 1], Operations: ['87-52=35', '35/35=1'] Exploring Operation: 61+1=62, Resulting Numbers: [62] 62,70 unequal: No Solution Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,70 unequal: No Solution Exploring Operation: 61-1=60, Resulting Numbers: [60] 60,70 unequal: No Solution Exploring Operation: 61/1=61, Resulting Numbers: [61] 61,70 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 #0,1 Current State: 70:[35, 87, 9], Operations: ['61-52=9'] Exploring Operation: 87-35=52, Resulting Numbers: [9, 52] Generated Node #0,1,0: 70:[9, 52] Operation: 87-35=52 Exploring Operation: 35-9=26, Resulting Numbers: [87, 26] Generated Node #0,1,1: 70:[87, 26] Operation: 35-9=26 Exploring Operation: 87-9=78, Resulting Numbers: [35, 78] Generated Node #0,1,2: 70:[35, 78] Operation: 87-9=78 Exploring Operation: 35+9=44, Resulting Numbers: [87, 44] Generated Node #0,1,3: 70:[87, 44] Operation: 35+9=44 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 70:[35, 78], Operations: ['61-52=9', '87-9=78'] Exploring Operation: 78-35=43, Resulting Numbers: [43] 43,70 unequal: No Solution Exploring Operation: 35*78=2730, Resulting Numbers: [2730] 2730,70 unequal: No Solution Exploring Operation: 35+78=113, Resulting Numbers: [113] 113,70 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 #0,1,0 Current State: 70:[9, 52], Operations: ['61-52=9', '87-35=52'] Exploring Operation: 9*52=468, Resulting Numbers: [468] 468,70 unequal: No Solution Exploring Operation: 9+52=61, Resulting Numbers: [61] 61,70 unequal: No Solution Exploring Operation: 52-9=43, Resulting Numbers: [43] 43,70 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 #0,1,1 Current State: 70:[87, 26], Operations: ['61-52=9', '35-9=26'] Exploring Operation: 87*26=2262, Resulting Numbers: [2262] 2262,70 unequal: No Solution Exploring Operation: 87+26=113, Resulting Numbers: [113] 113,70 unequal: No Solution Exploring Operation: 87-26=61, Resulting Numbers: [61] 61,70 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 #0,1,3 Current State: 70:[87, 44], Operations: ['61-52=9', '35+9=44'] Exploring Operation: 87+44=131, Resulting Numbers: [131] 131,70 unequal: No Solution Exploring Operation: 87*44=3828, Resulting Numbers: [3828] 3828,70 unequal: No Solution Exploring Operation: 87-44=43, Resulting Numbers: [43] 43,70 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:[35, 52, 26], Operations: ['87-61=26'] Exploring Operation: 52-35=17, Resulting Numbers: [26, 17] Generated Node #0,2,0: 70:[26, 17] Operation: 52-35=17 Exploring Operation: 52-26=26, Resulting Numbers: [35, 26] Generated Node #0,2,1: 70:[35, 26] Operation: 52-26=26 Exploring Operation: 52/26=2, Resulting Numbers: [35, 2] Generated Node #0,2,2: 70:[35, 2] Operation: 52/26=2 Exploring Operation: 52+26=78, Resulting Numbers: [35, 78] Generated Node #0,2,3: 70:[35, 78] Operation: 52+26=78 Moving to Node #0,2,2 Current State: 70:[35, 2], Operations: ['87-61=26', '52/26=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[35, 61, 87, 52], Operations: [] Exploring Operation: 87-61=26, Resulting Numbers: [35, 52, 26] Generated Node #0,2: 70:[35, 52, 26] Operation: 87-61=26 Moving to Node #0,2 Current State: 70:[35, 52, 26], Operations: ['87-61=26'] Exploring Operation: 52/26=2, Resulting Numbers: [35, 2] Generated Node #0,2,2: 70:[35, 2] Operation: 52/26=2 Moving to Node #0,2,2 Current State: 70:[35, 2], Operations: ['87-61=26', '52/26=2'] Exploring Operation: 35*2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1
0.960069
hs_4
mult_heuristic
[ 32, 36, 17, 42 ]
93
[ "32+36=68", "42-17=25", "68+25=93" ]
Current State: 93:[32, 36, 17, 42], Operations: [] Exploring Operation: 32+36=68, Resulting Numbers: [17, 42, 68] Generated Node #2: [17, 42, 68] from Operation: 32+36=68 Current State: 93:[17, 42, 68], Operations: ['32+36=68'] Exploring Operation: 42-17=25, Resulting Numbers: [68, 25] Generated Node #3: [68, 25] from Operation: 42-17=25 Current State: 93:[68, 25], Operations: ['32+36=68', '42-17=25'] Exploring Operation: 68+25=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[32, 36, 17, 42], Operations: [] Exploring Operation: 42-36=6, Resulting Numbers: [32, 17, 6] Generated Node #0,0: 93:[32, 17, 6] Operation: 42-36=6 Exploring Operation: 42-17=25, Resulting Numbers: [32, 36, 25] Generated Node #0,1: 93:[32, 36, 25] Operation: 42-17=25 Start Sub Search at level 1: Moving to Node #0,1 Current State: 93:[32, 36, 25], Operations: ['42-17=25'] Exploring Operation: 32-25=7, Resulting Numbers: [36, 7] Generated Node #0,1,0: 93:[36, 7] Operation: 32-25=7 Exploring Operation: 36-32=4, Resulting Numbers: [25, 4] Generated Node #0,1,1: 93:[25, 4] Operation: 36-32=4 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 93:[25, 4], Operations: ['42-17=25', '36-32=4'] Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,93 unequal: No Solution Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,93 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: 93:[36, 7], Operations: ['42-17=25', '32-25=7'] Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,93 unequal: No Solution Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,93 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: 93:[32, 17, 6], Operations: ['42-36=6'] Exploring Operation: 17+6=23, Resulting Numbers: [32, 23] Generated Node #0,0,0: 93:[32, 23] Operation: 17+6=23 Exploring Operation: 17-6=11, Resulting Numbers: [32, 11] Generated Node #0,0,1: 93:[32, 11] Operation: 17-6=11 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 93:[32, 23], Operations: ['42-36=6', '17+6=23'] Exploring Operation: 32+23=55, Resulting Numbers: [55] 55,93 unequal: No Solution Exploring Operation: 32-23=9, Resulting Numbers: [9] 9,93 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: 93:[32, 11], Operations: ['42-36=6', '17-6=11'] Exploring Operation: 32+11=43, Resulting Numbers: [43] 43,93 unequal: No Solution Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,93 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
[ 35, 7, 25, 12 ]
41
[ "35-7=28", "25-12=13", "28+13=41" ]
Current State: 41:[35, 7, 25, 12], Operations: [] Exploring Operation: 35-7=28, Resulting Numbers: [25, 12, 28] Generated Node #2: [25, 12, 28] from Operation: 35-7=28 Current State: 41:[25, 12, 28], Operations: ['35-7=28'] Exploring Operation: 25-12=13, Resulting Numbers: [28, 13] Generated Node #3: [28, 13] from Operation: 25-12=13 Current State: 41:[28, 13], Operations: ['35-7=28', '25-12=13'] Exploring Operation: 28+13=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[35, 7, 25, 12], Operations: [] Exploring Operation: 35+7=42, Resulting Numbers: [25, 12, 42] Generated Node #0,0: 41:[25, 12, 42] Operation: 35+7=42 Exploring Operation: 7+12=19, Resulting Numbers: [35, 25, 19] Generated Node #0,1: 41:[35, 25, 19] Operation: 7+12=19 Exploring Operation: 7+25=32, Resulting Numbers: [35, 12, 32] Generated Node #0,2: 41:[35, 12, 32] Operation: 7+25=32 Exploring Operation: 25+12=37, Resulting Numbers: [35, 7, 37] Generated Node #0,3: 41:[35, 7, 37] Operation: 25+12=37 Moving to Node #0,1 Current State: 41:[35, 25, 19], Operations: ['7+12=19'] Exploring Operation: 35+25=60, Resulting Numbers: [19, 60] Generated Node #0,1,0: 41:[19, 60] Operation: 35+25=60 Exploring Operation: 35-19=16, Resulting Numbers: [25, 16] Generated Node #0,1,1: 41:[25, 16] Operation: 35-19=16 Exploring Operation: 25+19=44, Resulting Numbers: [35, 44] Generated Node #0,1,2: 41:[35, 44] Operation: 25+19=44 Exploring Operation: 35+19=54, Resulting Numbers: [25, 54] Generated Node #0,1,3: 41:[25, 54] Operation: 35+19=54 Moving to Node #0,3 Current State: 41:[35, 7, 37], Operations: ['25+12=37'] Exploring Operation: 35+7=42, Resulting Numbers: [37, 42] Generated Node #0,3,0: 41:[37, 42] Operation: 35+7=42 Exploring Operation: 7+37=44, Resulting Numbers: [35, 44] Generated Node #0,3,1: 41:[35, 44] Operation: 7+37=44 Exploring Operation: 37-7=30, Resulting Numbers: [35, 30] Generated Node #0,3,2: 41:[35, 30] Operation: 37-7=30 Exploring Operation: 35-7=28, Resulting Numbers: [37, 28] Generated Node #0,3,3: 41:[37, 28] Operation: 35-7=28 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 41:[37, 42], Operations: ['25+12=37', '35+7=42'] Exploring Operation: 37*42=1554, Resulting Numbers: [1554] 1554,41 unequal: No Solution Exploring Operation: 42-37=5, Resulting Numbers: [5] 5,41 unequal: No Solution Exploring Operation: 37+42=79, Resulting Numbers: [79] 79,41 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 #0,3,1 Current State: 41:[35, 44], Operations: ['25+12=37', '7+37=44'] Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,41 unequal: No Solution Exploring Operation: 35+44=79, Resulting Numbers: [79] 79,41 unequal: No Solution Exploring Operation: 35*44=1540, Resulting Numbers: [1540] 1540,41 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 #0,3,2 Current State: 41:[35, 30], Operations: ['25+12=37', '37-7=30'] Exploring Operation: 35-30=5, Resulting Numbers: [5] 5,41 unequal: No Solution Exploring Operation: 35*30=1050, Resulting Numbers: [1050] 1050,41 unequal: No Solution Exploring Operation: 35+30=65, Resulting Numbers: [65] 65,41 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 #0,3,3 Current State: 41:[37, 28], Operations: ['25+12=37', '35-7=28'] Exploring Operation: 37+28=65, Resulting Numbers: [65] 65,41 unequal: No Solution Exploring Operation: 37*28=1036, Resulting Numbers: [1036] 1036,41 unequal: No Solution Exploring Operation: 37-28=9, Resulting Numbers: [9] 9,41 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:[35, 12, 32], Operations: ['7+25=32'] Exploring Operation: 35-12=23, Resulting Numbers: [32, 23] Generated Node #0,2,0: 41:[32, 23] Operation: 35-12=23 Exploring Operation: 35+12=47, Resulting Numbers: [32, 47] Generated Node #0,2,1: 41:[32, 47] Operation: 35+12=47 Exploring Operation: 12+32=44, Resulting Numbers: [35, 44] Generated Node #0,2,2: 41:[35, 44] Operation: 12+32=44 Exploring Operation: 32-12=20, Resulting Numbers: [35, 20] Generated Node #0,2,3: 41:[35, 20] Operation: 32-12=20 Moving to Node #0,0 Current State: 41:[25, 12, 42], Operations: ['35+7=42'] Exploring Operation: 25+12=37, Resulting Numbers: [42, 37] Generated Node #0,0,0: 41:[42, 37] Operation: 25+12=37 Exploring Operation: 25-12=13, Resulting Numbers: [42, 13] Generated Node #0,0,1: 41:[42, 13] Operation: 25-12=13 Exploring Operation: 12+42=54, Resulting Numbers: [25, 54] Generated Node #0,0,2: 41:[25, 54] Operation: 12+42=54 Exploring Operation: 42-12=30, Resulting Numbers: [25, 30] Generated Node #0,0,3: 41:[25, 30] Operation: 42-12=30 Moving to Node #0,0,0 Current State: 41:[42, 37], Operations: ['35+7=42', '25+12=37'] Exploring Operation: 42*37=1554, Resulting Numbers: [1554] 1554,41 unequal: No Solution Exploring Operation: 42-37=5, Resulting Numbers: [5] 5,41 unequal: No Solution Exploring Operation: 42+37=79, Resulting Numbers: [79] 79,41 unequal: No Solution Moving to Node #0,1,2 Current State: 41:[35, 44], Operations: ['7+12=19', '25+19=44'] Exploring Operation: 35*44=1540, Resulting Numbers: [1540] 1540,41 unequal: No Solution Exploring Operation: 35+44=79, Resulting Numbers: [79] 79,41 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,41 unequal: No Solution Moving to Node #0,2,2 Current State: 41:[35, 44], Operations: ['7+25=32', '12+32=44'] Exploring Operation: 35+44=79, Resulting Numbers: [79] 79,41 unequal: No Solution Exploring Operation: 35*44=1540, Resulting Numbers: [1540] 1540,41 unequal: No Solution Exploring Operation: 44-35=9, Resulting Numbers: [9] 9,41 unequal: No Solution Moving to Node #0,2,1 Current State: 41:[32, 47], Operations: ['7+25=32', '35+12=47'] Exploring Operation: 47-32=15, Resulting Numbers: [15] 15,41 unequal: No Solution Exploring Operation: 32*47=1504, Resulting Numbers: [1504] 1504,41 unequal: No Solution Exploring Operation: 32+47=79, Resulting Numbers: [79] 79,41 unequal: No Solution Moving to Node #0,2,0 Current State: 41:[32, 23], Operations: ['7+25=32', '35-12=23'] Exploring Operation: 32+23=55, Resulting Numbers: [55] 55,41 unequal: No Solution Exploring Operation: 32-23=9, Resulting Numbers: [9] 9,41 unequal: No Solution Exploring Operation: 32*23=736, Resulting Numbers: [736] 736,41 unequal: No Solution Moving to Node #0,0,3 Current State: 41:[25, 30], Operations: ['35+7=42', '42-12=30'] Exploring Operation: 30-25=5, Resulting Numbers: [5] 5,41 unequal: No Solution Exploring Operation: 25*30=750, Resulting Numbers: [750] 750,41 unequal: No Solution Exploring Operation: 25+30=55, Resulting Numbers: [55] 55,41 unequal: No Solution Moving to Node #0,2,3 Current State: 41:[35, 20], Operations: ['7+25=32', '32-12=20'] Exploring Operation: 35-20=15, Resulting Numbers: [15] 15,41 unequal: No Solution Exploring Operation: 35+20=55, Resulting Numbers: [55] 55,41 unequal: No Solution Exploring Operation: 35*20=700, Resulting Numbers: [700] 700,41 unequal: No Solution Moving to Node #0,0,1 Current State: 41:[42, 13], Operations: ['35+7=42', '25-12=13'] Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,41 unequal: No Solution Exploring Operation: 42*13=546, Resulting Numbers: [546] 546,41 unequal: No Solution Exploring Operation: 42+13=55, Resulting Numbers: [55] 55,41 unequal: No Solution Moving to Node #0,0,2 Current State: 41:[25, 54], Operations: ['35+7=42', '12+42=54'] Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,41 unequal: No Solution Exploring Operation: 25+54=79, Resulting Numbers: [79] 79,41 unequal: No Solution Exploring Operation: 25*54=1350, Resulting Numbers: [1350] 1350,41 unequal: No Solution Moving to Node #0,1,3 Current State: 41:[25, 54], Operations: ['7+12=19', '35+19=54'] Exploring Operation: 25+54=79, Resulting Numbers: [79] 79,41 unequal: No Solution Exploring Operation: 54-25=29, Resulting Numbers: [29] 29,41 unequal: No Solution Exploring Operation: 25*54=1350, Resulting Numbers: [1350] 1350,41 unequal: No Solution Moving to Node #0,1,1 Current State: 41:[25, 16], Operations: ['7+12=19', '35-19=16'] Exploring Operation: 25-16=9, Resulting Numbers: [9] 9,41 unequal: No Solution Exploring Operation: 25*16=400, Resulting Numbers: [400] 400,41 unequal: No Solution Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[35, 7, 25, 12], Operations: [] Exploring Operation: 7+12=19, Resulting Numbers: [35, 25, 19] Generated Node #0,1: 41:[35, 25, 19] Operation: 7+12=19 Moving to Node #0,1 Current State: 41:[35, 25, 19], Operations: ['7+12=19'] Exploring Operation: 35-19=16, Resulting Numbers: [25, 16] Generated Node #0,1,1: 41:[25, 16] Operation: 35-19=16 Moving to Node #0,1,1 Current State: 41:[25, 16], Operations: ['7+12=19', '35-19=16'] Exploring Operation: 25+16=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
0.940104
hs_4
sum_heuristic
[ 85, 53, 47, 83 ]
59
[ "85-83=2", "53*2=106", "106-47=59" ]
Current State: 59:[85, 53, 47, 83], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [53, 47, 2] Generated Node #2: [53, 47, 2] from Operation: 85-83=2 Current State: 59:[53, 47, 2], Operations: ['85-83=2'] Exploring Operation: 53*2=106, Resulting Numbers: [47, 106] Generated Node #3: [47, 106] from Operation: 53*2=106 Current State: 59:[47, 106], Operations: ['85-83=2', '53*2=106'] Exploring Operation: 106-47=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[85, 53, 47, 83], Operations: [] Exploring Operation: 83-47=36, Resulting Numbers: [85, 53, 36] Generated Node #0,0: 59:[85, 53, 36] Operation: 83-47=36 Exploring Operation: 85-47=38, Resulting Numbers: [53, 83, 38] Generated Node #0,1: 59:[53, 83, 38] Operation: 85-47=38 Moving to Node #0,1 Current State: 59:[53, 83, 38], Operations: ['85-47=38'] Exploring Operation: 83-38=45, Resulting Numbers: [53, 45] Generated Node #0,1,0: 59:[53, 45] Operation: 83-38=45 Exploring Operation: 83-53=30, Resulting Numbers: [38, 30] Generated Node #0,1,1: 59:[38, 30] Operation: 83-53=30 Moving to Node #0,0 Current State: 59:[85, 53, 36], Operations: ['83-47=36'] Exploring Operation: 85-36=49, Resulting Numbers: [53, 49] Generated Node #0,0,0: 59:[53, 49] Operation: 85-36=49 Exploring Operation: 85-53=32, Resulting Numbers: [36, 32] Generated Node #0,0,1: 59:[36, 32] Operation: 85-53=32 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 59:[53, 49], Operations: ['83-47=36', '85-36=49'] Exploring Operation: 53-49=4, Resulting Numbers: [4] 4,59 unequal: No Solution Exploring Operation: 53+49=102, Resulting Numbers: [102] 102,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 59:[36, 32], Operations: ['83-47=36', '85-53=32'] Exploring Operation: 36+32=68, Resulting Numbers: [68] 68,59 unequal: No Solution Exploring Operation: 36-32=4, Resulting Numbers: [4] 4,59 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: 59:[53, 45], Operations: ['85-47=38', '83-38=45'] Exploring Operation: 53-45=8, Resulting Numbers: [8] 8,59 unequal: No Solution Exploring Operation: 53+45=98, Resulting Numbers: [98] 98,59 unequal: No Solution Moving to Node #0,1,1 Current State: 59:[38, 30], Operations: ['85-47=38', '83-53=30'] Exploring Operation: 38+30=68, Resulting Numbers: [68] 68,59 unequal: No Solution Exploring Operation: 38-30=8, Resulting Numbers: [8] 8,59 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 75, 69, 42, 57 ]
25
[ "75*42=3150", "69+57=126", "3150/126=25" ]
Current State: 25:[75, 69, 42, 57], Operations: [] Exploring Operation: 75*42=3150, Resulting Numbers: [69, 57, 3150] Generated Node #2: [69, 57, 3150] from Operation: 75*42=3150 Current State: 25:[69, 57, 3150], Operations: ['75*42=3150'] Exploring Operation: 69+57=126, Resulting Numbers: [3150, 126] Generated Node #3: [3150, 126] from Operation: 69+57=126 Current State: 25:[3150, 126], Operations: ['75*42=3150', '69+57=126'] Exploring Operation: 3150/126=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[75, 69, 42, 57], Operations: [] Exploring Operation: 75-69=6, Resulting Numbers: [42, 57, 6] Generated Node #0,0: 25:[42, 57, 6] Operation: 75-69=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[42, 57, 6], Operations: ['75-69=6'] Exploring Operation: 57-42=15, Resulting Numbers: [6, 15] Generated Node #0,0,0: 25:[6, 15] Operation: 57-42=15 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 25:[6, 15], Operations: ['75-69=6', '57-42=15'] Exploring Operation: 6+15=21, Resulting Numbers: [21] 21,25 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
[ 49, 33, 44, 30 ]
39
[ "49-44=5", "30/5=6", "33+6=39" ]
Current State: 39:[49, 33, 44, 30], Operations: [] Exploring Operation: 49-44=5, Resulting Numbers: [33, 30, 5] Generated Node #2: [33, 30, 5] from Operation: 49-44=5 Current State: 39:[33, 30, 5], Operations: ['49-44=5'] Exploring Operation: 30/5=6, Resulting Numbers: [33, 6] Generated Node #3: [33, 6] from Operation: 30/5=6 Current State: 39:[33, 6], Operations: ['49-44=5', '30/5=6'] Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[49, 33, 44, 30], Operations: [] Exploring Operation: 33-30=3, Resulting Numbers: [49, 44, 3] Generated Node #0,0: 39:[49, 44, 3] Operation: 33-30=3 Moving to Node #0,0 Current State: 39:[49, 44, 3], Operations: ['33-30=3'] Exploring Operation: 49-44=5, Resulting Numbers: [3, 5] Generated Node #0,0,0: 39:[3, 5] Operation: 49-44=5 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[3, 5], Operations: ['33-30=3', '49-44=5'] Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,39 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
[ 94, 61, 44, 19 ]
58
[ "94-61=33", "44-19=25", "33+25=58" ]
Current State: 58:[94, 61, 44, 19], Operations: [] Exploring Operation: 94-61=33, Resulting Numbers: [44, 19, 33] Generated Node #2: [44, 19, 33] from Operation: 94-61=33 Current State: 58:[44, 19, 33], Operations: ['94-61=33'] Exploring Operation: 44-19=25, Resulting Numbers: [33, 25] Generated Node #3: [33, 25] from Operation: 44-19=25 Current State: 58:[33, 25], Operations: ['94-61=33', '44-19=25'] Exploring Operation: 33+25=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[94, 61, 44, 19], Operations: [] Exploring Operation: 94-19=75, Resulting Numbers: [61, 44, 75] Generated Node #0,0: 58:[61, 44, 75] Operation: 94-19=75 Exploring Operation: 94-61=33, Resulting Numbers: [44, 19, 33] Generated Node #0,1: 58:[44, 19, 33] Operation: 94-61=33 Exploring Operation: 94-44=50, Resulting Numbers: [61, 19, 50] Generated Node #0,2: 58:[61, 19, 50] Operation: 94-44=50 Exploring Operation: 44+19=63, Resulting Numbers: [94, 61, 63] Generated Node #0,3: 58:[94, 61, 63] Operation: 44+19=63 Exploring Operation: 44-19=25, Resulting Numbers: [94, 61, 25] Generated Node #0,4: 58:[94, 61, 25] Operation: 44-19=25 Moving to Node #0,2 Current State: 58:[61, 19, 50], Operations: ['94-44=50'] Exploring Operation: 61+19=80, Resulting Numbers: [50, 80] Generated Node #0,2,0: 58:[50, 80] Operation: 61+19=80 Exploring Operation: 61-19=42, Resulting Numbers: [50, 42] Generated Node #0,2,1: 58:[50, 42] Operation: 61-19=42 Exploring Operation: 19+50=69, Resulting Numbers: [61, 69] Generated Node #0,2,2: 58:[61, 69] Operation: 19+50=69 Exploring Operation: 50-19=31, Resulting Numbers: [61, 31] Generated Node #0,2,3: 58:[61, 31] Operation: 50-19=31 Exploring Operation: 61-50=11, Resulting Numbers: [19, 11] Generated Node #0,2,4: 58:[19, 11] Operation: 61-50=11 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 58:[61, 31], Operations: ['94-44=50', '50-19=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,58 unequal: No Solution Exploring Operation: 61*31=1891, Resulting Numbers: [1891] 1891,58 unequal: No Solution Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,58 unequal: No Solution No 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: 58:[61, 69], Operations: ['94-44=50', '19+50=69'] Exploring Operation: 61*69=4209, Resulting Numbers: [4209] 4209,58 unequal: No Solution Exploring Operation: 61+69=130, Resulting Numbers: [130] 130,58 unequal: No Solution Exploring Operation: 69-61=8, Resulting Numbers: [8] 8,58 unequal: No Solution No 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: 58:[19, 11], Operations: ['94-44=50', '61-50=11'] Exploring Operation: 19-11=8, Resulting Numbers: [8] 8,58 unequal: No Solution Exploring Operation: 19*11=209, Resulting Numbers: [209] 209,58 unequal: No Solution Exploring Operation: 19+11=30, Resulting Numbers: [30] 30,58 unequal: No Solution No 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: 58:[50, 42], Operations: ['94-44=50', '61-19=42'] Exploring Operation: 50*42=2100, Resulting Numbers: [2100] 2100,58 unequal: No Solution Exploring Operation: 50+42=92, Resulting Numbers: [92] 92,58 unequal: No Solution Exploring Operation: 50-42=8, Resulting Numbers: [8] 8,58 unequal: No Solution No 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: 58:[50, 80], Operations: ['94-44=50', '61+19=80'] Exploring Operation: 50+80=130, Resulting Numbers: [130] 130,58 unequal: No Solution Exploring Operation: 50*80=4000, Resulting Numbers: [4000] 4000,58 unequal: No Solution Exploring Operation: 80-50=30, Resulting Numbers: [30] 30,58 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: 58:[44, 19, 33], Operations: ['94-61=33'] Exploring Operation: 19+33=52, Resulting Numbers: [44, 52] Generated Node #0,1,0: 58:[44, 52] Operation: 19+33=52 Exploring Operation: 44-33=11, Resulting Numbers: [19, 11] Generated Node #0,1,1: 58:[19, 11] Operation: 44-33=11 Exploring Operation: 44-19=25, Resulting Numbers: [33, 25] Generated Node #0,1,2: 58:[33, 25] Operation: 44-19=25 Exploring Operation: 33-19=14, Resulting Numbers: [44, 14] Generated Node #0,1,3: 58:[44, 14] Operation: 33-19=14 Exploring Operation: 44+19=63, Resulting Numbers: [33, 63] Generated Node #0,1,4: 58:[33, 63] Operation: 44+19=63 Moving to Node #0,0 Current State: 58:[61, 44, 75], Operations: ['94-19=75'] Exploring Operation: 61-44=17, Resulting Numbers: [75, 17] Generated Node #0,0,0: 58:[75, 17] Operation: 61-44=17 Exploring Operation: 61+44=105, Resulting Numbers: [75, 105] Generated Node #0,0,1: 58:[75, 105] Operation: 61+44=105 Exploring Operation: 75-61=14, Resulting Numbers: [44, 14] Generated Node #0,0,2: 58:[44, 14] Operation: 75-61=14 Exploring Operation: 44+75=119, Resulting Numbers: [61, 119] Generated Node #0,0,3: 58:[61, 119] Operation: 44+75=119 Exploring Operation: 75-44=31, Resulting Numbers: [61, 31] Generated Node #0,0,4: 58:[61, 31] Operation: 75-44=31 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 58:[61, 31], Operations: ['94-19=75', '75-44=31'] Exploring Operation: 61-31=30, Resulting Numbers: [30] 30,58 unequal: No Solution Exploring Operation: 61+31=92, Resulting Numbers: [92] 92,58 unequal: No Solution Exploring Operation: 61*31=1891, Resulting Numbers: [1891] 1891,58 unequal: No Solution No 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: 58:[44, 14], Operations: ['94-19=75', '75-61=14'] Exploring Operation: 44-14=30, Resulting Numbers: [30] 30,58 unequal: No Solution Exploring Operation: 44*14=616, Resulting Numbers: [616] 616,58 unequal: No Solution Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[94, 61, 44, 19], Operations: [] Exploring Operation: 94-19=75, Resulting Numbers: [61, 44, 75] Generated Node #0,0: 58:[61, 44, 75] Operation: 94-19=75 Moving to Node #0,0 Current State: 58:[61, 44, 75], Operations: ['94-19=75'] Exploring Operation: 75-61=14, Resulting Numbers: [44, 14] Generated Node #0,0,2: 58:[44, 14] Operation: 75-61=14 Moving to Node #0,0,2 Current State: 58:[44, 14], Operations: ['94-19=75', '75-61=14'] Exploring Operation: 44+14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.960938
hs_5
mult_heuristic
[ 7, 2, 36, 19 ]
69
[ "7*2=14", "36+19=55", "14+55=69" ]
Current State: 69:[7, 2, 36, 19], Operations: [] Exploring Operation: 7*2=14, Resulting Numbers: [36, 19, 14] Generated Node #2: [36, 19, 14] from Operation: 7*2=14 Current State: 69:[36, 19, 14], Operations: ['7*2=14'] Exploring Operation: 36+19=55, Resulting Numbers: [14, 55] Generated Node #3: [14, 55] from Operation: 36+19=55 Current State: 69:[14, 55], Operations: ['7*2=14', '36+19=55'] Exploring Operation: 14+55=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[7, 2, 36, 19], Operations: [] Exploring Operation: 36-7=29, Resulting Numbers: [2, 19, 29] Generated Node #0,0: 69:[2, 19, 29] Operation: 36-7=29 Moving to Node #0,0 Current State: 69:[2, 19, 29], Operations: ['36-7=29'] Exploring Operation: 2+19=21, Resulting Numbers: [29, 21] Generated Node #0,0,0: 69:[29, 21] Operation: 2+19=21 Moving to Node #0,0,0 Current State: 69:[29, 21], Operations: ['36-7=29', '2+19=21'] Exploring Operation: 29-21=8, Resulting Numbers: [8] 8,69 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 88, 66, 86, 58 ]
25
[ "88-86=2", "66/2=33", "58-33=25" ]
Current State: 25:[88, 66, 86, 58], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [66, 58, 2] Generated Node #2: [66, 58, 2] from Operation: 88-86=2 Current State: 25:[66, 58, 2], Operations: ['88-86=2'] Exploring Operation: 66/2=33, Resulting Numbers: [58, 33] Generated Node #3: [58, 33] from Operation: 66/2=33 Current State: 25:[58, 33], Operations: ['88-86=2', '66/2=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[88, 66, 86, 58], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [66, 58, 2] Generated Node #0,0: 25:[66, 58, 2] Operation: 88-86=2 Exploring Operation: 88-66=22, Resulting Numbers: [86, 58, 22] Generated Node #0,1: 25:[86, 58, 22] Operation: 88-66=22 Exploring Operation: 86-66=20, Resulting Numbers: [88, 58, 20] Generated Node #0,2: 25:[88, 58, 20] Operation: 86-66=20 Start Sub Search at level 1: Moving to Node #0,0 Current State: 25:[66, 58, 2], Operations: ['88-86=2'] Exploring Operation: 66-58=8, Resulting Numbers: [2, 8] Generated Node #0,0,0: 25:[2, 8] Operation: 66-58=8 Exploring Operation: 66/2=33, Resulting Numbers: [58, 33] Generated Node #0,0,1: 25:[58, 33] Operation: 66/2=33 Exploring Operation: 58/2=29, Resulting Numbers: [66, 29] Generated Node #0,0,2: 25:[66, 29] Operation: 58/2=29 Moving to Node #0,0,0 Current State: 25:[2, 8], Operations: ['88-86=2', '66-58=8'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,25 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,25 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,25 unequal: No Solution Moving to Node #0,0,1 Current State: 25:[58, 33], Operations: ['88-86=2', '66/2=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[88, 66, 86, 58], Operations: [] Exploring Operation: 88-86=2, Resulting Numbers: [66, 58, 2] Generated Node #0,0: 25:[66, 58, 2] Operation: 88-86=2 Moving to Node #0,0 Current State: 25:[66, 58, 2], Operations: ['88-86=2'] Exploring Operation: 66/2=33, Resulting Numbers: [58, 33] Generated Node #0,0,1: 25:[58, 33] Operation: 66/2=33 Moving to Node #0,0,1 Current State: 25:[58, 33], Operations: ['88-86=2', '66/2=33'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_3
sum_heuristic
[ 41, 70, 32, 28 ]
32
[ "70-41=29", "29-28=1", "32*1=32" ]
Current State: 32:[41, 70, 32, 28], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [32, 28, 29] Generated Node #2: [32, 28, 29] from Operation: 70-41=29 Current State: 32:[32, 28, 29], Operations: ['70-41=29'] Exploring Operation: 29-28=1, Resulting Numbers: [32, 1] Generated Node #3: [32, 1] from Operation: 29-28=1 Current State: 32:[32, 1], Operations: ['70-41=29', '29-28=1'] Exploring Operation: 32*1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
Current State: 32:[41, 70, 32, 28], Operations: [] Exploring Operation: 70-32=38, Resulting Numbers: [41, 28, 38] Generated Node #0,0: 32:[41, 28, 38] Operation: 70-32=38 Exploring Operation: 70-28=42, Resulting Numbers: [41, 32, 42] Generated Node #0,1: 32:[41, 32, 42] Operation: 70-28=42 Exploring Operation: 70-41=29, Resulting Numbers: [32, 28, 29] Generated Node #0,2: 32:[32, 28, 29] Operation: 70-41=29 Moving to Node #0,2 Current State: 32:[32, 28, 29], Operations: ['70-41=29'] Exploring Operation: 29-28=1, Resulting Numbers: [32, 1] Generated Node #0,2,0: 32:[32, 1] Operation: 29-28=1 Exploring Operation: 32-28=4, Resulting Numbers: [29, 4] Generated Node #0,2,1: 32:[29, 4] Operation: 32-28=4 Exploring Operation: 32-29=3, Resulting Numbers: [28, 3] Generated Node #0,2,2: 32:[28, 3] Operation: 32-29=3 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 32:[32, 1], Operations: ['70-41=29', '29-28=1'] Exploring Operation: 32+1=33, Resulting Numbers: [33] 33,32 unequal: No Solution Exploring Operation: 32/1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Moving to Node #0 Current State: 32:[41, 70, 32, 28], Operations: [] Exploring Operation: 70-41=29, Resulting Numbers: [32, 28, 29] Generated Node #0,2: 32:[32, 28, 29] Operation: 70-41=29 Moving to Node #0,2 Current State: 32:[32, 28, 29], Operations: ['70-41=29'] Exploring Operation: 29-28=1, Resulting Numbers: [32, 1] Generated Node #0,2,0: 32:[32, 1] Operation: 29-28=1 Moving to Node #0,2,0 Current State: 32:[32, 1], Operations: ['70-41=29', '29-28=1'] Exploring Operation: 32/1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_3
mult_heuristic
[ 83, 74, 82, 76 ]
15
[ "83-74=9", "82-76=6", "9+6=15" ]
Current State: 15:[83, 74, 82, 76], Operations: [] Exploring Operation: 83-74=9, Resulting Numbers: [82, 76, 9] Generated Node #2: [82, 76, 9] from Operation: 83-74=9 Current State: 15:[82, 76, 9], Operations: ['83-74=9'] Exploring Operation: 82-76=6, Resulting Numbers: [9, 6] Generated Node #3: [9, 6] from Operation: 82-76=6 Current State: 15:[9, 6], Operations: ['83-74=9', '82-76=6'] Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[83, 74, 82, 76], Operations: [] Exploring Operation: 83-82=1, Resulting Numbers: [74, 76, 1] Generated Node #0,0: 15:[74, 76, 1] Operation: 83-82=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 15:[74, 76, 1], Operations: ['83-82=1'] Exploring Operation: 76-74=2, Resulting Numbers: [1, 2] Generated Node #0,0,0: 15:[1, 2] Operation: 76-74=2 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 15:[1, 2], Operations: ['83-82=1', '76-74=2'] Exploring Operation: 1+2=3, Resulting Numbers: [3] 3,15 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_1
sum_heuristic
[ 57, 77, 91, 27 ]
98
[ "77-57=20", "91+27=118", "118-20=98" ]
Current State: 98:[57, 77, 91, 27], Operations: [] Exploring Operation: 77-57=20, Resulting Numbers: [91, 27, 20] Generated Node #2: [91, 27, 20] from Operation: 77-57=20 Current State: 98:[91, 27, 20], Operations: ['77-57=20'] Exploring Operation: 91+27=118, Resulting Numbers: [20, 118] Generated Node #3: [20, 118] from Operation: 91+27=118 Current State: 98:[20, 118], Operations: ['77-57=20', '91+27=118'] Exploring Operation: 118-20=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[57, 77, 91, 27], Operations: [] Exploring Operation: 91-77=14, Resulting Numbers: [57, 27, 14] Generated Node #0,0: 98:[57, 27, 14] Operation: 91-77=14 Exploring Operation: 77-27=50, Resulting Numbers: [57, 91, 50] Generated Node #0,1: 98:[57, 91, 50] Operation: 77-27=50 Moving to Node #0,1 Current State: 98:[57, 91, 50], Operations: ['77-27=50'] Exploring Operation: 91-57=34, Resulting Numbers: [50, 34] Generated Node #0,1,0: 98:[50, 34] Operation: 91-57=34 Exploring Operation: 57-50=7, Resulting Numbers: [91, 7] Generated Node #0,1,1: 98:[91, 7] Operation: 57-50=7 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 98:[91, 7], Operations: ['77-27=50', '57-50=7'] Exploring Operation: 91/7=13, Resulting Numbers: [13] 13,98 unequal: No Solution Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[57, 77, 91, 27], Operations: [] Exploring Operation: 77-27=50, Resulting Numbers: [57, 91, 50] Generated Node #0,1: 98:[57, 91, 50] Operation: 77-27=50 Moving to Node #0,1 Current State: 98:[57, 91, 50], Operations: ['77-27=50'] Exploring Operation: 57-50=7, Resulting Numbers: [91, 7] Generated Node #0,1,1: 98:[91, 7] Operation: 57-50=7 Moving to Node #0,1,1 Current State: 98:[91, 7], Operations: ['77-27=50', '57-50=7'] Exploring Operation: 91+7=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
mult_heuristic
[ 40, 7, 1, 60 ]
93
[ "40-7=33", "1*60=60", "33+60=93" ]
Current State: 93:[40, 7, 1, 60], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [1, 60, 33] Generated Node #2: [1, 60, 33] from Operation: 40-7=33 Current State: 93:[1, 60, 33], Operations: ['40-7=33'] Exploring Operation: 1*60=60, Resulting Numbers: [33, 60] Generated Node #3: [33, 60] from Operation: 1*60=60 Current State: 93:[33, 60], Operations: ['40-7=33', '1*60=60'] Exploring Operation: 33+60=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[40, 7, 1, 60], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [1, 60, 33] Generated Node #0,0: 93:[1, 60, 33] Operation: 40-7=33 Exploring Operation: 40+60=100, Resulting Numbers: [7, 1, 100] Generated Node #0,1: 93:[7, 1, 100] Operation: 40+60=100 Exploring Operation: 60-7=53, Resulting Numbers: [40, 1, 53] Generated Node #0,2: 93:[40, 1, 53] Operation: 60-7=53 Exploring Operation: 60-40=20, Resulting Numbers: [7, 1, 20] Generated Node #0,3: 93:[7, 1, 20] Operation: 60-40=20 Moving to Node #0,1 Current State: 93:[7, 1, 100], Operations: ['40+60=100'] Exploring Operation: 100-7=93, Resulting Numbers: [1, 93] Generated Node #0,1,0: 93:[1, 93] Operation: 100-7=93 Exploring Operation: 7*1=7, Resulting Numbers: [100, 7] Generated Node #0,1,1: 93:[100, 7] Operation: 7*1=7 Exploring Operation: 100-1=99, Resulting Numbers: [7, 99] Generated Node #0,1,2: 93:[7, 99] Operation: 100-1=99 Exploring Operation: 7-1=6, Resulting Numbers: [100, 6] Generated Node #0,1,3: 93:[100, 6] Operation: 7-1=6 Moving to Node #0,3 Current State: 93:[7, 1, 20], Operations: ['60-40=20'] Exploring Operation: 7-1=6, Resulting Numbers: [20, 6] Generated Node #0,3,0: 93:[20, 6] Operation: 7-1=6 Exploring Operation: 20-7=13, Resulting Numbers: [1, 13] Generated Node #0,3,1: 93:[1, 13] Operation: 20-7=13 Exploring Operation: 7+20=27, Resulting Numbers: [1, 27] Generated Node #0,3,2: 93:[1, 27] Operation: 7+20=27 Exploring Operation: 1+20=21, Resulting Numbers: [7, 21] Generated Node #0,3,3: 93:[7, 21] Operation: 1+20=21 Moving to Node #0,2 Current State: 93:[40, 1, 53], Operations: ['60-7=53'] Exploring Operation: 40+53=93, Resulting Numbers: [1, 93] Generated Node #0,2,0: 93:[1, 93] Operation: 40+53=93 Exploring Operation: 53-1=52, Resulting Numbers: [40, 52] Generated Node #0,2,1: 93:[40, 52] Operation: 53-1=52 Exploring Operation: 53-40=13, Resulting Numbers: [1, 13] Generated Node #0,2,2: 93:[1, 13] Operation: 53-40=13 Exploring Operation: 40-1=39, Resulting Numbers: [53, 39] Generated Node #0,2,3: 93:[53, 39] Operation: 40-1=39 Moving to Node #0,0 Current State: 93:[1, 60, 33], Operations: ['40-7=33'] Exploring Operation: 60+33=93, Resulting Numbers: [1, 93] Generated Node #0,0,0: 93:[1, 93] Operation: 60+33=93 Exploring Operation: 60-1=59, Resulting Numbers: [33, 59] Generated Node #0,0,1: 93:[33, 59] Operation: 60-1=59 Exploring Operation: 60-33=27, Resulting Numbers: [1, 27] Generated Node #0,0,2: 93:[1, 27] Operation: 60-33=27 Exploring Operation: 33-1=32, Resulting Numbers: [60, 32] Generated Node #0,0,3: 93:[60, 32] Operation: 33-1=32 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 93:[1, 93], Operations: ['40-7=33', '60+33=93'] Exploring Operation: 1+93=94, Resulting Numbers: [94] 94,93 unequal: No Solution Exploring Operation: 93-1=92, Resulting Numbers: [92] 92,93 unequal: No Solution Exploring Operation: 1*93=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[40, 7, 1, 60], Operations: [] Exploring Operation: 40-7=33, Resulting Numbers: [1, 60, 33] Generated Node #0,0: 93:[1, 60, 33] Operation: 40-7=33 Moving to Node #0,0 Current State: 93:[1, 60, 33], Operations: ['40-7=33'] Exploring Operation: 60+33=93, Resulting Numbers: [1, 93] Generated Node #0,0,0: 93:[1, 93] Operation: 60+33=93 Moving to Node #0,0,0 Current State: 93:[1, 93], Operations: ['40-7=33', '60+33=93'] Exploring Operation: 1*93=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 1
0.976563
hs_4
sum_heuristic
[ 62, 85, 87, 39 ]
21
[ "62+85=147", "87+39=126", "147-126=21" ]
Current State: 21:[62, 85, 87, 39], Operations: [] Exploring Operation: 62+85=147, Resulting Numbers: [87, 39, 147] Generated Node #2: [87, 39, 147] from Operation: 62+85=147 Current State: 21:[87, 39, 147], Operations: ['62+85=147'] Exploring Operation: 87+39=126, Resulting Numbers: [147, 126] Generated Node #3: [147, 126] from Operation: 87+39=126 Current State: 21:[147, 126], Operations: ['62+85=147', '87+39=126'] Exploring Operation: 147-126=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[62, 85, 87, 39], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [62, 39, 2] Generated Node #0,0: 21:[62, 39, 2] Operation: 87-85=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 21:[62, 39, 2], Operations: ['87-85=2'] Exploring Operation: 62-39=23, Resulting Numbers: [2, 23] Generated Node #0,0,0: 21:[2, 23] Operation: 62-39=23 Moving to Node #0,0,0 Current State: 21:[2, 23], Operations: ['87-85=2', '62-39=23'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[62, 85, 87, 39], Operations: [] Exploring Operation: 87-85=2, Resulting Numbers: [62, 39, 2] Generated Node #0,0: 21:[62, 39, 2] Operation: 87-85=2 Moving to Node #0,0 Current State: 21:[62, 39, 2], Operations: ['87-85=2'] Exploring Operation: 62-39=23, Resulting Numbers: [2, 23] Generated Node #0,0,0: 21:[2, 23] Operation: 62-39=23 Moving to Node #0,0,0 Current State: 21:[2, 23], Operations: ['87-85=2', '62-39=23'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 9, 28, 36, 14 ]
84
[ "36/9=4", "14*4=56", "28+56=84" ]
Current State: 84:[9, 28, 36, 14], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [28, 14, 4] Generated Node #2: [28, 14, 4] from Operation: 36/9=4 Current State: 84:[28, 14, 4], Operations: ['36/9=4'] Exploring Operation: 14*4=56, Resulting Numbers: [28, 56] Generated Node #3: [28, 56] from Operation: 14*4=56 Current State: 84:[28, 56], Operations: ['36/9=4', '14*4=56'] Exploring Operation: 28+56=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[9, 28, 36, 14], Operations: [] Exploring Operation: 36-9=27, Resulting Numbers: [28, 14, 27] Generated Node #0,0: 84:[28, 14, 27] Operation: 36-9=27 Exploring Operation: 36/9=4, Resulting Numbers: [28, 14, 4] Generated Node #0,1: 84:[28, 14, 4] Operation: 36/9=4 Moving to Node #0,1 Current State: 84:[28, 14, 4], Operations: ['36/9=4'] Exploring Operation: 28+14=42, Resulting Numbers: [4, 42] Generated Node #0,1,0: 84:[4, 42] Operation: 28+14=42 Exploring Operation: 28-14=14, Resulting Numbers: [4, 14] Generated Node #0,1,1: 84:[4, 14] Operation: 28-14=14 Moving to Node #0,0 Current State: 84:[28, 14, 27], Operations: ['36-9=27'] Exploring Operation: 28+14=42, Resulting Numbers: [27, 42] Generated Node #0,0,0: 84:[27, 42] Operation: 28+14=42 Exploring Operation: 28-14=14, Resulting Numbers: [27, 14] Generated Node #0,0,1: 84:[27, 14] Operation: 28-14=14 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 84:[27, 42], Operations: ['36-9=27', '28+14=42'] Exploring Operation: 27+42=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 42-27=15, Resulting Numbers: [15] 15,84 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 #0,0,1 Current State: 84:[27, 14], Operations: ['36-9=27', '28-14=14'] Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,84 unequal: No Solution Exploring Operation: 27+14=41, Resulting Numbers: [41] 41,84 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: 84:[4, 42], Operations: ['36/9=4', '28+14=42'] Exploring Operation: 4+42=46, Resulting Numbers: [46] 46,84 unequal: No Solution Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[4, 14], Operations: ['36/9=4', '28-14=14'] Exploring Operation: 4+14=18, Resulting Numbers: [18] 18,84 unequal: No Solution Exploring Operation: 14-4=10, Resulting Numbers: [10] 10,84 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 13, 38, 50, 52 ]
53
[ "13+38=51", "52-50=2", "51+2=53" ]
Current State: 53:[13, 38, 50, 52], Operations: [] Exploring Operation: 13+38=51, Resulting Numbers: [50, 52, 51] Generated Node #2: [50, 52, 51] from Operation: 13+38=51 Current State: 53:[50, 52, 51], Operations: ['13+38=51'] Exploring Operation: 52-50=2, Resulting Numbers: [51, 2] Generated Node #3: [51, 2] from Operation: 52-50=2 Current State: 53:[51, 2], Operations: ['13+38=51', '52-50=2'] Exploring Operation: 51+2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[13, 38, 50, 52], Operations: [] Exploring Operation: 13+50=63, Resulting Numbers: [38, 52, 63] Generated Node #0,0: 53:[38, 52, 63] Operation: 13+50=63 Exploring Operation: 13+38=51, Resulting Numbers: [50, 52, 51] Generated Node #0,1: 53:[50, 52, 51] Operation: 13+38=51 Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[50, 52, 51], Operations: ['13+38=51'] Exploring Operation: 50+51=101, Resulting Numbers: [52, 101] Generated Node #0,1,0: 53:[52, 101] Operation: 50+51=101 Exploring Operation: 50+52=102, Resulting Numbers: [51, 102] Generated Node #0,1,1: 53:[51, 102] Operation: 50+52=102 Moving to Node #0,1,0 Current State: 53:[52, 101], Operations: ['13+38=51', '50+51=101'] Exploring Operation: 52+101=153, Resulting Numbers: [153] 153,53 unequal: No Solution Exploring Operation: 101-52=49, Resulting Numbers: [49] 49,53 unequal: No Solution Moving to Node #0,1,1 Current State: 53:[51, 102], Operations: ['13+38=51', '50+52=102'] Exploring Operation: 102/51=2, Resulting Numbers: [2] 2,53 unequal: No Solution Exploring Operation: 102-51=51, Resulting Numbers: [51] 51,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[38, 52, 63], Operations: ['13+50=63'] Exploring Operation: 63-38=25, Resulting Numbers: [52, 25] Generated Node #0,0,0: 53:[52, 25] Operation: 63-38=25 Exploring Operation: 38+52=90, Resulting Numbers: [63, 90] Generated Node #0,0,1: 53:[63, 90] Operation: 38+52=90 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 53:[52, 25], Operations: ['13+50=63', '63-38=25'] Exploring Operation: 52+25=77, Resulting Numbers: [77] 77,53 unequal: No Solution Exploring Operation: 52-25=27, Resulting Numbers: [27] 27,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 53:[63, 90], Operations: ['13+50=63', '38+52=90'] Exploring Operation: 63+90=153, Resulting Numbers: [153] 153,53 unequal: No Solution Exploring Operation: 90-63=27, Resulting Numbers: [27] 27,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 75, 24, 64, 87 ]
62
[ "87-75=12", "24/12=2", "64-2=62" ]
Current State: 62:[75, 24, 64, 87], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [24, 64, 12] Generated Node #2: [24, 64, 12] from Operation: 87-75=12 Current State: 62:[24, 64, 12], Operations: ['87-75=12'] Exploring Operation: 24/12=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 24/12=2 Current State: 62:[64, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
Current State: 62:[75, 24, 64, 87], Operations: [] Exploring Operation: 75-24=51, Resulting Numbers: [64, 87, 51] Generated Node #0,0: 62:[64, 87, 51] Operation: 75-24=51 Exploring Operation: 87-64=23, Resulting Numbers: [75, 24, 23] Generated Node #0,1: 62:[75, 24, 23] Operation: 87-64=23 Exploring Operation: 87-75=12, Resulting Numbers: [24, 64, 12] Generated Node #0,2: 62:[24, 64, 12] Operation: 87-75=12 Exploring Operation: 87-24=63, Resulting Numbers: [75, 64, 63] Generated Node #0,3: 62:[75, 64, 63] Operation: 87-24=63 Start Sub Search at level 1: Moving to Node #0,3 Current State: 62:[75, 64, 63], Operations: ['87-24=63'] Exploring Operation: 75-63=12, Resulting Numbers: [64, 12] Generated Node #0,3,0: 62:[64, 12] Operation: 75-63=12 Exploring Operation: 64-63=1, Resulting Numbers: [75, 1] Generated Node #0,3,1: 62:[75, 1] Operation: 64-63=1 Exploring Operation: 75+64=139, Resulting Numbers: [63, 139] Generated Node #0,3,2: 62:[63, 139] Operation: 75+64=139 Exploring Operation: 75-64=11, Resulting Numbers: [63, 11] Generated Node #0,3,3: 62:[63, 11] Operation: 75-64=11 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 62:[63, 11], Operations: ['87-24=63', '75-64=11'] Exploring Operation: 63*11=693, Resulting Numbers: [693] 693,62 unequal: No Solution Exploring Operation: 63+11=74, Resulting Numbers: [74] 74,62 unequal: No Solution Exploring Operation: 63-11=52, Resulting Numbers: [52] 52,62 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: 62:[64, 12], Operations: ['87-24=63', '75-63=12'] Exploring Operation: 64+12=76, Resulting Numbers: [76] 76,62 unequal: No Solution Exploring Operation: 64*12=768, Resulting Numbers: [768] 768,62 unequal: No Solution Exploring Operation: 64-12=52, Resulting Numbers: [52] 52,62 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 62:[75, 1], Operations: ['87-24=63', '64-63=1'] Exploring Operation: 75-1=74, Resulting Numbers: [74] 74,62 unequal: No Solution Exploring Operation: 75/1=75, Resulting Numbers: [75] 75,62 unequal: No Solution Exploring Operation: 75+1=76, Resulting Numbers: [76] 76,62 unequal: No Solution Exploring Operation: 75*1=75, Resulting Numbers: [75] 75,62 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: 62:[63, 139], Operations: ['87-24=63', '75+64=139'] Exploring Operation: 63+139=202, Resulting Numbers: [202] 202,62 unequal: No Solution Exploring Operation: 139-63=76, Resulting Numbers: [76] 76,62 unequal: No Solution Exploring Operation: 63*139=8757, Resulting Numbers: [8757] 8757,62 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: 62:[24, 64, 12], Operations: ['87-75=12'] Exploring Operation: 24+12=36, Resulting Numbers: [64, 36] Generated Node #0,2,0: 62:[64, 36] Operation: 24+12=36 Exploring Operation: 64-12=52, Resulting Numbers: [24, 52] Generated Node #0,2,1: 62:[24, 52] Operation: 64-12=52 Exploring Operation: 24-12=12, Resulting Numbers: [64, 12] Generated Node #0,2,2: 62:[64, 12] Operation: 24-12=12 Exploring Operation: 24/12=2, Resulting Numbers: [64, 2] Generated Node #0,2,3: 62:[64, 2] Operation: 24/12=2 Moving to Node #0,2,3 Current State: 62:[64, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,62 unequal: No Solution Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Moving to Node #0 Current State: 62:[75, 24, 64, 87], Operations: [] Exploring Operation: 87-75=12, Resulting Numbers: [24, 64, 12] Generated Node #0,2: 62:[24, 64, 12] Operation: 87-75=12 Moving to Node #0,2 Current State: 62:[24, 64, 12], Operations: ['87-75=12'] Exploring Operation: 24/12=2, Resulting Numbers: [64, 2] Generated Node #0,2,3: 62:[64, 2] Operation: 24/12=2 Moving to Node #0,2,3 Current State: 62:[64, 2], Operations: ['87-75=12', '24/12=2'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,62 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_4
mult_heuristic
[ 53, 13, 46, 9 ]
50
[ "53-46=7", "9*7=63", "63-13=50" ]
Current State: 50:[53, 13, 46, 9], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [13, 9, 7] Generated Node #2: [13, 9, 7] from Operation: 53-46=7 Current State: 50:[13, 9, 7], Operations: ['53-46=7'] Exploring Operation: 9*7=63, Resulting Numbers: [13, 63] Generated Node #3: [13, 63] from Operation: 9*7=63 Current State: 50:[13, 63], Operations: ['53-46=7', '9*7=63'] Exploring Operation: 63-13=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[53, 13, 46, 9], Operations: [] Exploring Operation: 53-46=7, Resulting Numbers: [13, 9, 7] Generated Node #0,0: 50:[13, 9, 7] Operation: 53-46=7 Exploring Operation: 13+9=22, Resulting Numbers: [53, 46, 22] Generated Node #0,1: 50:[53, 46, 22] Operation: 13+9=22 Exploring Operation: 13-9=4, Resulting Numbers: [53, 46, 4] Generated Node #0,2: 50:[53, 46, 4] Operation: 13-9=4 Exploring Operation: 46+9=55, Resulting Numbers: [53, 13, 55] Generated Node #0,3: 50:[53, 13, 55] Operation: 46+9=55 Moving to Node #0,0 Current State: 50:[13, 9, 7], Operations: ['53-46=7'] Exploring Operation: 13-9=4, Resulting Numbers: [7, 4] Generated Node #0,0,0: 50:[7, 4] Operation: 13-9=4 Exploring Operation: 13+9=22, Resulting Numbers: [7, 22] Generated Node #0,0,1: 50:[7, 22] Operation: 13+9=22 Exploring Operation: 13-7=6, Resulting Numbers: [9, 6] Generated Node #0,0,2: 50:[9, 6] Operation: 13-7=6 Exploring Operation: 9-7=2, Resulting Numbers: [13, 2] Generated Node #0,0,3: 50:[13, 2] Operation: 9-7=2 Moving to Node #0,2 Current State: 50:[53, 46, 4], Operations: ['13-9=4'] Exploring Operation: 53+4=57, Resulting Numbers: [46, 57] Generated Node #0,2,0: 50:[46, 57] Operation: 53+4=57 Exploring Operation: 53-4=49, Resulting Numbers: [46, 49] Generated Node #0,2,1: 50:[46, 49] Operation: 53-4=49 Exploring Operation: 53-46=7, Resulting Numbers: [4, 7] Generated Node #0,2,2: 50:[4, 7] Operation: 53-46=7 Exploring Operation: 46+4=50, Resulting Numbers: [53, 50] Generated Node #0,2,3: 50:[53, 50] Operation: 46+4=50 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 50:[4, 7], Operations: ['13-9=4', '53-46=7'] Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,50 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,50 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 #0,2,3 Current State: 50:[53, 50], Operations: ['13-9=4', '46+4=50'] Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 53*50=2650, Resulting Numbers: [2650] 2650,50 unequal: No Solution Exploring Operation: 53+50=103, Resulting Numbers: [103] 103,50 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 #0,2,1 Current State: 50:[46, 49], Operations: ['13-9=4', '53-4=49'] Exploring Operation: 46*49=2254, Resulting Numbers: [2254] 2254,50 unequal: No Solution Exploring Operation: 46+49=95, Resulting Numbers: [95] 95,50 unequal: No Solution Exploring Operation: 49-46=3, Resulting Numbers: [3] 3,50 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 #0,2,0 Current State: 50:[46, 57], Operations: ['13-9=4', '53+4=57'] Exploring Operation: 46*57=2622, Resulting Numbers: [2622] 2622,50 unequal: No Solution Exploring Operation: 57-46=11, Resulting Numbers: [11] 11,50 unequal: No Solution Exploring Operation: 46+57=103, Resulting Numbers: [103] 103,50 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: 50:[53, 46, 22], Operations: ['13+9=22'] Exploring Operation: 53-46=7, Resulting Numbers: [22, 7] Generated Node #0,1,0: 50:[22, 7] Operation: 53-46=7 Exploring Operation: 46+22=68, Resulting Numbers: [53, 68] Generated Node #0,1,1: 50:[53, 68] Operation: 46+22=68 Exploring Operation: 53-22=31, Resulting Numbers: [46, 31] Generated Node #0,1,2: 50:[46, 31] Operation: 53-22=31 Exploring Operation: 46-22=24, Resulting Numbers: [53, 24] Generated Node #0,1,3: 50:[53, 24] Operation: 46-22=24 Moving to Node #0,3 Current State: 50:[53, 13, 55], Operations: ['46+9=55'] Exploring Operation: 55-13=42, Resulting Numbers: [53, 42] Generated Node #0,3,0: 50:[53, 42] Operation: 55-13=42 Exploring Operation: 53+13=66, Resulting Numbers: [55, 66] Generated Node #0,3,1: 50:[55, 66] Operation: 53+13=66 Exploring Operation: 53-13=40, Resulting Numbers: [55, 40] Generated Node #0,3,2: 50:[55, 40] Operation: 53-13=40 Exploring Operation: 55-53=2, Resulting Numbers: [13, 2] Generated Node #0,3,3: 50:[13, 2] Operation: 55-53=2 Moving to Node #0,0,2 Current State: 50:[9, 6], Operations: ['53-46=7', '13-7=6'] Exploring Operation: 9-6=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 9*6=54, Resulting Numbers: [54] 54,50 unequal: No Solution Exploring Operation: 9+6=15, Resulting Numbers: [15] 15,50 unequal: No Solution Moving to Node #0,0,3 Current State: 50:[13, 2], Operations: ['53-46=7', '9-7=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,50 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,50 unequal: No Solution Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,0,0 Current State: 50:[7, 4], Operations: ['53-46=7', '13-9=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,50 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,50 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,3,3 Current State: 50:[13, 2], Operations: ['46+9=55', '55-53=2'] Exploring Operation: 13-2=11, Resulting Numbers: [11] 11,50 unequal: No Solution Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,50 unequal: No Solution Exploring Operation: 13*2=26, Resulting Numbers: [26] 26,50 unequal: No Solution Moving to Node #0,1,3 Current State: 50:[53, 24], Operations: ['13+9=22', '46-22=24'] Exploring Operation: 53+24=77, Resulting Numbers: [77] 77,50 unequal: No Solution Exploring Operation: 53*24=1272, Resulting Numbers: [1272] 1272,50 unequal: No Solution Exploring Operation: 53-24=29, Resulting Numbers: [29] 29,50 unequal: No Solution Moving to Node #0,1,0 Current State: 50:[22, 7], Operations: ['13+9=22', '53-46=7'] Exploring Operation: 22*7=154, Resulting Numbers: [154] 154,50 unequal: No Solution Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,50 unequal: No Solution Exploring Operation: 22+7=29, Resulting Numbers: [29] 29,50 unequal: No Solution Moving to Node #0,0,1 Current State: 50:[7, 22], Operations: ['53-46=7', '13+9=22'] Exploring Operation: 22-7=15, Resulting Numbers: [15] 15,50 unequal: No Solution Exploring Operation: 7+22=29, Resulting Numbers: [29] 29,50 unequal: No Solution Exploring Operation: 7*22=154, Resulting Numbers: [154] 154,50 unequal: No Solution Moving to Node #0,1,2 Current State: 50:[46, 31], Operations: ['13+9=22', '53-22=31'] Exploring Operation: 46+31=77, Resulting Numbers: [77] 77,50 unequal: No Solution Exploring Operation: 46*31=1426, Resulting Numbers: [1426] 1426,50 unequal: No Solution Exploring Operation: 46-31=15, Resulting Numbers: [15] 15,50 unequal: No Solution Moving to Node #0,3,0 Current State: 50:[53, 42], Operations: ['46+9=55', '55-13=42'] Exploring Operation: 53*42=2226, Resulting Numbers: [2226] 2226,50 unequal: No Solution Exploring Operation: 53+42=95, Resulting Numbers: [95] 95,50 unequal: No Solution Exploring Operation: 53-42=11, Resulting Numbers: [11] 11,50 unequal: No Solution Moving to Node #0,3,2 Current State: 50:[55, 40], Operations: ['46+9=55', '53-13=40'] Exploring Operation: 55*40=2200, Resulting Numbers: [2200] 2200,50 unequal: No Solution Exploring Operation: 55+40=95, Resulting Numbers: [95] 95,50 unequal: No Solution Exploring Operation: 55-40=15, Resulting Numbers: [15] 15,50 unequal: No Solution Moving to Node #0,1,1 Current State: 50:[53, 68], Operations: ['13+9=22', '46+22=68'] Exploring Operation: 53*68=3604, Resulting Numbers: [3604] 3604,50 unequal: No Solution Exploring Operation: 68-53=15, Resulting Numbers: [15] 15,50 unequal: No Solution Exploring Operation: 53+68=121, Resulting Numbers: [121] 121,50 unequal: No Solution Moving to Node #0,3,1 Current State: 50:[55, 66], Operations: ['46+9=55', '53+13=66'] Exploring Operation: 55*66=3630, Resulting Numbers: [3630] 3630,50 unequal: No Solution Exploring Operation: 55+66=121, Resulting Numbers: [121] 121,50 unequal: No Solution Exploring Operation: 66-55=11, Resulting Numbers: [11] 11,50 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 47, 73, 13, 17 ]
56
[ "73-47=26", "13+17=30", "26+30=56" ]
Current State: 56:[47, 73, 13, 17], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [13, 17, 26] Generated Node #2: [13, 17, 26] from Operation: 73-47=26 Current State: 56:[13, 17, 26], Operations: ['73-47=26'] Exploring Operation: 13+17=30, Resulting Numbers: [26, 30] Generated Node #3: [26, 30] from Operation: 13+17=30 Current State: 56:[26, 30], Operations: ['73-47=26', '13+17=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[47, 73, 13, 17], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [13, 17, 26] Generated Node #0,0: 56:[13, 17, 26] Operation: 73-47=26 Exploring Operation: 73-13=60, Resulting Numbers: [47, 17, 60] Generated Node #0,1: 56:[47, 17, 60] Operation: 73-13=60 Exploring Operation: 73-17=56, Resulting Numbers: [47, 13, 56] Generated Node #0,2: 56:[47, 13, 56] Operation: 73-17=56 Exploring Operation: 47-17=30, Resulting Numbers: [73, 13, 30] Generated Node #0,3: 56:[73, 13, 30] Operation: 47-17=30 Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[13, 17, 26], Operations: ['73-47=26'] Exploring Operation: 13+17=30, Resulting Numbers: [26, 30] Generated Node #0,0,0: 56:[26, 30] Operation: 13+17=30 Exploring Operation: 26/13=2, Resulting Numbers: [17, 2] Generated Node #0,0,1: 56:[17, 2] Operation: 26/13=2 Exploring Operation: 26-17=9, Resulting Numbers: [13, 9] Generated Node #0,0,2: 56:[13, 9] Operation: 26-17=9 Exploring Operation: 17-13=4, Resulting Numbers: [26, 4] Generated Node #0,0,3: 56:[26, 4] Operation: 17-13=4 Moving to Node #0,0,2 Current State: 56:[13, 9], Operations: ['73-47=26', '26-17=9'] Exploring Operation: 13-9=4, Resulting Numbers: [4] 4,56 unequal: No Solution Exploring Operation: 13+9=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 13*9=117, Resulting Numbers: [117] 117,56 unequal: No Solution Moving to Node #0,0,3 Current State: 56:[26, 4], Operations: ['73-47=26', '17-13=4'] Exploring Operation: 26-4=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 26*4=104, Resulting Numbers: [104] 104,56 unequal: No Solution Exploring Operation: 26+4=30, Resulting Numbers: [30] 30,56 unequal: No Solution Moving to Node #0,0,1 Current State: 56:[17, 2], Operations: ['73-47=26', '26/13=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,56 unequal: No Solution Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,56 unequal: No Solution Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,56 unequal: No Solution Moving to Node #0,0,0 Current State: 56:[26, 30], Operations: ['73-47=26', '13+17=30'] Exploring Operation: 30-26=4, Resulting Numbers: [4] 4,56 unequal: No Solution Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[47, 73, 13, 17], Operations: [] Exploring Operation: 73-47=26, Resulting Numbers: [13, 17, 26] Generated Node #0,0: 56:[13, 17, 26] Operation: 73-47=26 Moving to Node #0,0 Current State: 56:[13, 17, 26], Operations: ['73-47=26'] Exploring Operation: 13+17=30, Resulting Numbers: [26, 30] Generated Node #0,0,0: 56:[26, 30] Operation: 13+17=30 Moving to Node #0,0,0 Current State: 56:[26, 30], Operations: ['73-47=26', '13+17=30'] Exploring Operation: 26+30=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_4
mult_heuristic
[ 44, 31, 37, 45 ]
69
[ "44-31=13", "37+45=82", "82-13=69" ]
Current State: 69:[44, 31, 37, 45], Operations: [] Exploring Operation: 44-31=13, Resulting Numbers: [37, 45, 13] Generated Node #2: [37, 45, 13] from Operation: 44-31=13 Current State: 69:[37, 45, 13], Operations: ['44-31=13'] Exploring Operation: 37+45=82, Resulting Numbers: [13, 82] Generated Node #3: [13, 82] from Operation: 37+45=82 Current State: 69:[13, 82], Operations: ['44-31=13', '37+45=82'] Exploring Operation: 82-13=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[44, 31, 37, 45], Operations: [] Exploring Operation: 44-37=7, Resulting Numbers: [31, 45, 7] Generated Node #0,0: 69:[31, 45, 7] Operation: 44-37=7 Exploring Operation: 45-44=1, Resulting Numbers: [31, 37, 1] Generated Node #0,1: 69:[31, 37, 1] Operation: 45-44=1 Exploring Operation: 45-37=8, Resulting Numbers: [44, 31, 8] Generated Node #0,2: 69:[44, 31, 8] Operation: 45-37=8 Moving to Node #0,1 Current State: 69:[31, 37, 1], Operations: ['45-44=1'] Exploring Operation: 31-1=30, Resulting Numbers: [37, 30] Generated Node #0,1,0: 69:[37, 30] Operation: 31-1=30 Exploring Operation: 37-31=6, Resulting Numbers: [1, 6] Generated Node #0,1,1: 69:[1, 6] Operation: 37-31=6 Exploring Operation: 31+37=68, Resulting Numbers: [1, 68] Generated Node #0,1,2: 69:[1, 68] Operation: 31+37=68 Moving to Node #0,0 Current State: 69:[31, 45, 7], Operations: ['44-37=7'] Exploring Operation: 31-7=24, Resulting Numbers: [45, 24] Generated Node #0,0,0: 69:[45, 24] Operation: 31-7=24 Exploring Operation: 31+45=76, Resulting Numbers: [7, 76] Generated Node #0,0,1: 69:[7, 76] Operation: 31+45=76 Exploring Operation: 45-31=14, Resulting Numbers: [7, 14] Generated Node #0,0,2: 69:[7, 14] Operation: 45-31=14 Moving to Node #0,2 Current State: 69:[44, 31, 8], Operations: ['45-37=8'] Exploring Operation: 44-31=13, Resulting Numbers: [8, 13] Generated Node #0,2,0: 69:[8, 13] Operation: 44-31=13 Exploring Operation: 44-8=36, Resulting Numbers: [31, 36] Generated Node #0,2,1: 69:[31, 36] Operation: 44-8=36 Exploring Operation: 44+31=75, Resulting Numbers: [8, 75] Generated Node #0,2,2: 69:[8, 75] Operation: 44+31=75 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 69:[8, 75], Operations: ['45-37=8', '44+31=75'] Exploring Operation: 8*75=600, Resulting Numbers: [600] 600,69 unequal: No Solution Exploring Operation: 75-8=67, Resulting Numbers: [67] 67,69 unequal: No Solution Exploring Operation: 8+75=83, Resulting Numbers: [83] 83,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 69:[8, 13], Operations: ['45-37=8', '44-31=13'] Exploring Operation: 8+13=21, Resulting Numbers: [21] 21,69 unequal: No Solution Exploring Operation: 8*13=104, Resulting Numbers: [104] 104,69 unequal: No Solution Exploring Operation: 13-8=5, Resulting Numbers: [5] 5,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 69:[31, 36], Operations: ['45-37=8', '44-8=36'] Exploring Operation: 31*36=1116, Resulting Numbers: [1116] 1116,69 unequal: No Solution Exploring Operation: 31+36=67, Resulting Numbers: [67] 67,69 unequal: No Solution Exploring Operation: 36-31=5, Resulting Numbers: [5] 5,69 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: 69:[1, 68], Operations: ['45-44=1', '31+37=68'] Exploring Operation: 1*68=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 1+68=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[44, 31, 37, 45], Operations: [] Exploring Operation: 45-44=1, Resulting Numbers: [31, 37, 1] Generated Node #0,1: 69:[31, 37, 1] Operation: 45-44=1 Moving to Node #0,1 Current State: 69:[31, 37, 1], Operations: ['45-44=1'] Exploring Operation: 31+37=68, Resulting Numbers: [1, 68] Generated Node #0,1,2: 69:[1, 68] Operation: 31+37=68 Moving to Node #0,1,2 Current State: 69:[1, 68], Operations: ['45-44=1', '31+37=68'] Exploring Operation: 1+68=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
0.976563
hs_3
mult_heuristic
[ 93, 83, 10, 91 ]
75
[ "93+83=176", "10+91=101", "176-101=75" ]
Current State: 75:[93, 83, 10, 91], Operations: [] Exploring Operation: 93+83=176, Resulting Numbers: [10, 91, 176] Generated Node #2: [10, 91, 176] from Operation: 93+83=176 Current State: 75:[10, 91, 176], Operations: ['93+83=176'] Exploring Operation: 10+91=101, Resulting Numbers: [176, 101] Generated Node #3: [176, 101] from Operation: 10+91=101 Current State: 75:[176, 101], Operations: ['93+83=176', '10+91=101'] Exploring Operation: 176-101=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[93, 83, 10, 91], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [83, 10, 2] Generated Node #0,0: 75:[83, 10, 2] Operation: 93-91=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[83, 10, 2], Operations: ['93-91=2'] Exploring Operation: 83-10=73, Resulting Numbers: [2, 73] Generated Node #0,0,0: 75:[2, 73] Operation: 83-10=73 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[2, 73], Operations: ['93-91=2', '83-10=73'] Exploring Operation: 2+73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Moving to Node #0 Current State: 75:[93, 83, 10, 91], Operations: [] Exploring Operation: 93-91=2, Resulting Numbers: [83, 10, 2] Generated Node #0,0: 75:[83, 10, 2] Operation: 93-91=2 Moving to Node #0,0 Current State: 75:[83, 10, 2], Operations: ['93-91=2'] Exploring Operation: 83-10=73, Resulting Numbers: [2, 73] Generated Node #0,0,0: 75:[2, 73] Operation: 83-10=73 Moving to Node #0,0,0 Current State: 75:[2, 73], Operations: ['93-91=2', '83-10=73'] Exploring Operation: 2+73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 90, 73, 59, 61 ]
19
[ "90-73=17", "61-59=2", "17+2=19" ]
Current State: 19:[90, 73, 59, 61], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [59, 61, 17] Generated Node #2: [59, 61, 17] from Operation: 90-73=17 Current State: 19:[59, 61, 17], Operations: ['90-73=17'] Exploring Operation: 61-59=2, Resulting Numbers: [17, 2] Generated Node #3: [17, 2] from Operation: 61-59=2 Current State: 19:[17, 2], Operations: ['90-73=17', '61-59=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[90, 73, 59, 61], Operations: [] Exploring Operation: 73-61=12, Resulting Numbers: [90, 59, 12] Generated Node #0,0: 19:[90, 59, 12] Operation: 73-61=12 Exploring Operation: 90-59=31, Resulting Numbers: [73, 61, 31] Generated Node #0,1: 19:[73, 61, 31] Operation: 90-59=31 Exploring Operation: 90-61=29, Resulting Numbers: [73, 59, 29] Generated Node #0,2: 19:[73, 59, 29] Operation: 90-61=29 Exploring Operation: 73-59=14, Resulting Numbers: [90, 61, 14] Generated Node #0,3: 19:[90, 61, 14] Operation: 73-59=14 Exploring Operation: 90-73=17, Resulting Numbers: [59, 61, 17] Generated Node #0,4: 19:[59, 61, 17] Operation: 90-73=17 Start Sub Search at level 1: Moving to Node #0,4 Current State: 19:[59, 61, 17], Operations: ['90-73=17'] Exploring Operation: 61-59=2, Resulting Numbers: [17, 2] Generated Node #0,4,0: 19:[17, 2] Operation: 61-59=2 Exploring Operation: 61-17=44, Resulting Numbers: [59, 44] Generated Node #0,4,1: 19:[59, 44] Operation: 61-17=44 Exploring Operation: 59-17=42, Resulting Numbers: [61, 42] Generated Node #0,4,2: 19:[61, 42] Operation: 59-17=42 Exploring Operation: 59+17=76, Resulting Numbers: [61, 76] Generated Node #0,4,3: 19:[61, 76] Operation: 59+17=76 Exploring Operation: 61+17=78, Resulting Numbers: [59, 78] Generated Node #0,4,4: 19:[59, 78] Operation: 61+17=78 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 19:[17, 2], Operations: ['90-73=17', '61-59=2'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,19 unequal: No Solution Exploring Operation: 17*2=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[90, 73, 59, 61], Operations: [] Exploring Operation: 90-73=17, Resulting Numbers: [59, 61, 17] Generated Node #0,4: 19:[59, 61, 17] Operation: 90-73=17 Moving to Node #0,4 Current State: 19:[59, 61, 17], Operations: ['90-73=17'] Exploring Operation: 61-59=2, Resulting Numbers: [17, 2] Generated Node #0,4,0: 19:[17, 2] Operation: 61-59=2 Moving to Node #0,4,0 Current State: 19:[17, 2], Operations: ['90-73=17', '61-59=2'] Exploring Operation: 17+2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 2, 91, 30, 65 ]
63
[ "91-30=61", "65+61=126", "126/2=63" ]
Current State: 63:[2, 91, 30, 65], Operations: [] Exploring Operation: 91-30=61, Resulting Numbers: [2, 65, 61] Generated Node #2: [2, 65, 61] from Operation: 91-30=61 Current State: 63:[2, 65, 61], Operations: ['91-30=61'] Exploring Operation: 65+61=126, Resulting Numbers: [2, 126] Generated Node #3: [2, 126] from Operation: 65+61=126 Current State: 63:[2, 126], Operations: ['91-30=61', '65+61=126'] Exploring Operation: 126/2=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[2, 91, 30, 65], Operations: [] Exploring Operation: 91-30=61, Resulting Numbers: [2, 65, 61] Generated Node #0,0: 63:[2, 65, 61] Operation: 91-30=61 Moving to Node #0,0 Current State: 63:[2, 65, 61], Operations: ['91-30=61'] Exploring Operation: 65-2=63, Resulting Numbers: [61, 63] Generated Node #0,0,0: 63:[61, 63] Operation: 65-2=63 Moving to Node #0,0,0 Current State: 63:[61, 63], Operations: ['91-30=61', '65-2=63'] Exploring Operation: 63-61=2, Resulting Numbers: [2] 2,63 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 96, 6, 58, 10 ]
15
[ "96*10=960", "6+58=64", "960/64=15" ]
Current State: 15:[96, 6, 58, 10], Operations: [] Exploring Operation: 96*10=960, Resulting Numbers: [6, 58, 960] Generated Node #2: [6, 58, 960] from Operation: 96*10=960 Current State: 15:[6, 58, 960], Operations: ['96*10=960'] Exploring Operation: 6+58=64, Resulting Numbers: [960, 64] Generated Node #3: [960, 64] from Operation: 6+58=64 Current State: 15:[960, 64], Operations: ['96*10=960', '6+58=64'] Exploring Operation: 960/64=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
Current State: 15:[96, 6, 58, 10], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [6, 10, 38] Generated Node #0,0: 15:[6, 10, 38] Operation: 96-58=38 Exploring Operation: 96-10=86, Resulting Numbers: [6, 58, 86] Generated Node #0,1: 15:[6, 58, 86] Operation: 96-10=86 Exploring Operation: 96/6=16, Resulting Numbers: [58, 10, 16] Generated Node #0,2: 15:[58, 10, 16] Operation: 96/6=16 Moving to Node #0,0 Current State: 15:[6, 10, 38], Operations: ['96-58=38'] Exploring Operation: 38-10=28, Resulting Numbers: [6, 28] Generated Node #0,0,0: 15:[6, 28] Operation: 38-10=28 Exploring Operation: 6+10=16, Resulting Numbers: [38, 16] Generated Node #0,0,1: 15:[38, 16] Operation: 6+10=16 Exploring Operation: 38-6=32, Resulting Numbers: [10, 32] Generated Node #0,0,2: 15:[10, 32] Operation: 38-6=32 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 15:[6, 28], Operations: ['96-58=38', '38-10=28'] Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,15 unequal: No Solution Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,15 unequal: No Solution Exploring Operation: 6*28=168, Resulting Numbers: [168] 168,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 15:[10, 32], Operations: ['96-58=38', '38-6=32'] Exploring Operation: 10*32=320, Resulting Numbers: [320] 320,15 unequal: No Solution Exploring Operation: 32-10=22, Resulting Numbers: [22] 22,15 unequal: No Solution Exploring Operation: 10+32=42, Resulting Numbers: [42] 42,15 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 15:[38, 16], Operations: ['96-58=38', '6+10=16'] Exploring Operation: 38+16=54, Resulting Numbers: [54] 54,15 unequal: No Solution Exploring Operation: 38*16=608, Resulting Numbers: [608] 608,15 unequal: No Solution Exploring Operation: 38-16=22, Resulting Numbers: [22] 22,15 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: 15:[58, 10, 16], Operations: ['96/6=16'] Exploring Operation: 58-10=48, Resulting Numbers: [16, 48] Generated Node #0,2,0: 15:[16, 48] Operation: 58-10=48 Exploring Operation: 16-10=6, Resulting Numbers: [58, 6] Generated Node #0,2,1: 15:[58, 6] Operation: 16-10=6 Exploring Operation: 58-16=42, Resulting Numbers: [10, 42] Generated Node #0,2,2: 15:[10, 42] Operation: 58-16=42 Moving to Node #0,1 Current State: 15:[6, 58, 86], Operations: ['96-10=86'] Exploring Operation: 58-6=52, Resulting Numbers: [86, 52] Generated Node #0,1,0: 15:[86, 52] Operation: 58-6=52 Exploring Operation: 86-58=28, Resulting Numbers: [6, 28] Generated Node #0,1,1: 15:[6, 28] Operation: 86-58=28 Exploring Operation: 86-6=80, Resulting Numbers: [58, 80] Generated Node #0,1,2: 15:[58, 80] Operation: 86-6=80 Moving to Node #0,1,1 Current State: 15:[6, 28], Operations: ['96-10=86', '86-58=28'] Exploring Operation: 6+28=34, Resulting Numbers: [34] 34,15 unequal: No Solution Exploring Operation: 6*28=168, Resulting Numbers: [168] 168,15 unequal: No Solution Exploring Operation: 28-6=22, Resulting Numbers: [22] 22,15 unequal: No Solution Moving to Node #0,2,2 Current State: 15:[10, 42], Operations: ['96/6=16', '58-16=42'] Exploring Operation: 10+42=52, Resulting Numbers: [52] 52,15 unequal: No Solution Exploring Operation: 42-10=32, Resulting Numbers: [32] 32,15 unequal: No Solution Exploring Operation: 10*42=420, Resulting Numbers: [420] 420,15 unequal: No Solution Moving to Node #0,2,0 Current State: 15:[16, 48], Operations: ['96/6=16', '58-10=48'] Exploring Operation: 16+48=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,15 unequal: No Solution Exploring Operation: 48/16=3, Resulting Numbers: [3] 3,15 unequal: No Solution Moving to Node #0,2,1 Current State: 15:[58, 6], Operations: ['96/6=16', '16-10=6'] Exploring Operation: 58-6=52, Resulting Numbers: [52] 52,15 unequal: No Solution Exploring Operation: 58+6=64, Resulting Numbers: [64] 64,15 unequal: No Solution Exploring Operation: 58*6=348, Resulting Numbers: [348] 348,15 unequal: No Solution Moving to Node #0,1,2 Current State: 15:[58, 80], Operations: ['96-10=86', '86-6=80'] Exploring Operation: 58+80=138, Resulting Numbers: [138] 138,15 unequal: No Solution Exploring Operation: 58*80=4640, Resulting Numbers: [4640] 4640,15 unequal: No Solution Exploring Operation: 80-58=22, Resulting Numbers: [22] 22,15 unequal: No Solution Moving to Node #0,1,0 Current State: 15:[86, 52], Operations: ['96-10=86', '58-6=52'] Exploring Operation: 86+52=138, Resulting Numbers: [138] 138,15 unequal: No Solution Exploring Operation: 86*52=4472, Resulting Numbers: [4472] 4472,15 unequal: No Solution Exploring Operation: 86-52=34, Resulting Numbers: [34] 34,15 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 82, 77, 88, 84 ]
14
[ "88*84=7392", "7392/77=96", "96-82=14" ]
Current State: 14:[82, 77, 88, 84], Operations: [] Exploring Operation: 88*84=7392, Resulting Numbers: [82, 77, 7392] Generated Node #2: [82, 77, 7392] from Operation: 88*84=7392 Current State: 14:[82, 77, 7392], Operations: ['88*84=7392'] Exploring Operation: 7392/77=96, Resulting Numbers: [82, 96] Generated Node #3: [82, 96] from Operation: 7392/77=96 Current State: 14:[82, 96], Operations: ['88*84=7392', '7392/77=96'] Exploring Operation: 96-82=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[82, 77, 88, 84], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [77, 88, 2] Generated Node #0,0: 14:[77, 88, 2] Operation: 84-82=2 Exploring Operation: 88-77=11, Resulting Numbers: [82, 84, 11] Generated Node #0,1: 14:[82, 84, 11] Operation: 88-77=11 Exploring Operation: 88-82=6, Resulting Numbers: [77, 84, 6] Generated Node #0,2: 14:[77, 84, 6] Operation: 88-82=6 Exploring Operation: 88-84=4, Resulting Numbers: [82, 77, 4] Generated Node #0,3: 14:[82, 77, 4] Operation: 88-84=4 Moving to Node #0,3 Current State: 14:[82, 77, 4], Operations: ['88-84=4'] Exploring Operation: 77-4=73, Resulting Numbers: [82, 73] Generated Node #0,3,0: 14:[82, 73] Operation: 77-4=73 Exploring Operation: 82-77=5, Resulting Numbers: [4, 5] Generated Node #0,3,1: 14:[4, 5] Operation: 82-77=5 Exploring Operation: 82-4=78, Resulting Numbers: [77, 78] Generated Node #0,3,2: 14:[77, 78] Operation: 82-4=78 Exploring Operation: 82+4=86, Resulting Numbers: [77, 86] Generated Node #0,3,3: 14:[77, 86] Operation: 82+4=86 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 14:[4, 5], Operations: ['88-84=4', '82-77=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,14 unequal: No Solution Exploring Operation: 5-4=1, Resulting Numbers: [1] 1,14 unequal: No Solution Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,14 unequal: No Solution No 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: 14:[82, 73], Operations: ['88-84=4', '77-4=73'] Exploring Operation: 82+73=155, Resulting Numbers: [155] 155,14 unequal: No Solution Exploring Operation: 82-73=9, Resulting Numbers: [9] 9,14 unequal: No Solution Exploring Operation: 82*73=5986, Resulting Numbers: [5986] 5986,14 unequal: No Solution No 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: 14:[77, 78], Operations: ['88-84=4', '82-4=78'] Exploring Operation: 78-77=1, Resulting Numbers: [1] 1,14 unequal: No Solution Exploring Operation: 77*78=6006, Resulting Numbers: [6006] 6006,14 unequal: No Solution Exploring Operation: 77+78=155, Resulting Numbers: [155] 155,14 unequal: No Solution No 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: 14:[77, 86], Operations: ['88-84=4', '82+4=86'] Exploring Operation: 77+86=163, Resulting Numbers: [163] 163,14 unequal: No Solution Exploring Operation: 86-77=9, Resulting Numbers: [9] 9,14 unequal: No Solution Exploring Operation: 77*86=6622, Resulting Numbers: [6622] 6622,14 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: 14:[77, 84, 6], Operations: ['88-82=6'] Exploring Operation: 77-6=71, Resulting Numbers: [84, 71] Generated Node #0,2,0: 14:[84, 71] Operation: 77-6=71 Exploring Operation: 84-77=7, Resulting Numbers: [6, 7] Generated Node #0,2,1: 14:[6, 7] Operation: 84-77=7 Exploring Operation: 84/6=14, Resulting Numbers: [77, 14] Generated Node #0,2,2: 14:[77, 14] Operation: 84/6=14 Exploring Operation: 84-6=78, Resulting Numbers: [77, 78] Generated Node #0,2,3: 14:[77, 78] Operation: 84-6=78 Moving to Node #0,0 Current State: 14:[77, 88, 2], Operations: ['84-82=2'] Exploring Operation: 77-2=75, Resulting Numbers: [88, 75] Generated Node #0,0,0: 14:[88, 75] Operation: 77-2=75 Exploring Operation: 88-2=86, Resulting Numbers: [77, 86] Generated Node #0,0,1: 14:[77, 86] Operation: 88-2=86 Exploring Operation: 88-77=11, Resulting Numbers: [2, 11] Generated Node #0,0,2: 14:[2, 11] Operation: 88-77=11 Exploring Operation: 88/2=44, Resulting Numbers: [77, 44] Generated Node #0,0,3: 14:[77, 44] Operation: 88/2=44 Moving to Node #0,1 Current State: 14:[82, 84, 11], Operations: ['88-77=11'] Exploring Operation: 84-11=73, Resulting Numbers: [82, 73] Generated Node #0,1,0: 14:[82, 73] Operation: 84-11=73 Exploring Operation: 82-11=71, Resulting Numbers: [84, 71] Generated Node #0,1,1: 14:[84, 71] Operation: 82-11=71 Exploring Operation: 84-82=2, Resulting Numbers: [11, 2] Generated Node #0,1,2: 14:[11, 2] Operation: 84-82=2 Exploring Operation: 82+11=93, Resulting Numbers: [84, 93] Generated Node #0,1,3: 14:[84, 93] Operation: 82+11=93 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 14:[11, 2], Operations: ['88-77=11', '84-82=2'] Exploring Operation: 11*2=22, Resulting Numbers: [22] 22,14 unequal: No Solution Exploring Operation: 11+2=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,14 unequal: No Solution No 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: 14:[82, 73], Operations: ['88-77=11', '84-11=73'] Exploring Operation: 82+73=155, Resulting Numbers: [155] 155,14 unequal: No Solution Exploring Operation: 82*73=5986, Resulting Numbers: [5986] 5986,14 unequal: No Solution Exploring Operation: 82-73=9, Resulting Numbers: [9] 9,14 unequal: No Solution No 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: 14:[84, 71], Operations: ['88-77=11', '82-11=71'] Exploring Operation: 84-71=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 84*71=5964, Resulting Numbers: [5964] 5964,14 unequal: No Solution Exploring Operation: 84+71=155, Resulting Numbers: [155] 155,14 unequal: No Solution No 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: 14:[84, 93], Operations: ['88-77=11', '82+11=93'] Exploring Operation: 84+93=177, Resulting Numbers: [177] 177,14 unequal: No Solution Exploring Operation: 93-84=9, Resulting Numbers: [9] 9,14 unequal: No Solution Exploring Operation: 84*93=7812, Resulting Numbers: [7812] 7812,14 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,1 Current State: 14:[6, 7], Operations: ['88-82=6', '84-77=7'] Exploring Operation: 7-6=1, Resulting Numbers: [1] 1,14 unequal: No Solution Exploring Operation: 6+7=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,14 unequal: No Solution Moving to Node #0,0,2 Current State: 14:[2, 11], Operations: ['84-82=2', '88-77=11'] Exploring Operation: 11-2=9, Resulting Numbers: [9] 9,14 unequal: No Solution Exploring Operation: 2*11=22, Resulting Numbers: [22] 22,14 unequal: No Solution Exploring Operation: 2+11=13, Resulting Numbers: [13] 13,14 unequal: No Solution Moving to Node #0,2,2 Current State: 14:[77, 14], Operations: ['88-82=6', '84/6=14'] Exploring Operation: 77-14=63, Resulting Numbers: [63] 63,14 unequal: No Solution Exploring Operation: 77*14=1078, Resulting Numbers: [1078] 1078,14 unequal: No Solution Exploring Operation: 77+14=91, Resulting Numbers: [91] 91,14 unequal: No Solution Moving to Node #0,0,3 Current State: 14:[77, 44], Operations: ['84-82=2', '88/2=44'] Exploring Operation: 77-44=33, Resulting Numbers: [33] 33,14 unequal: No Solution Exploring Operation: 77*44=3388, Resulting Numbers: [3388] 3388,14 unequal: No Solution Exploring Operation: 77+44=121, Resulting Numbers: [121] 121,14 unequal: No Solution Moving to Node #0,2,0 Current State: 14:[84, 71], Operations: ['88-82=6', '77-6=71'] Exploring Operation: 84+71=155, Resulting Numbers: [155] 155,14 unequal: No Solution Exploring Operation: 84-71=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 84*71=5964, Resulting Numbers: [5964] 5964,14 unequal: No Solution Moving to Node #0,2,3 Current State: 14:[77, 78], Operations: ['88-82=6', '84-6=78'] Exploring Operation: 77*78=6006, Resulting Numbers: [6006] 6006,14 unequal: No Solution Exploring Operation: 77+78=155, Resulting Numbers: [155] 155,14 unequal: No Solution Exploring Operation: 78-77=1, Resulting Numbers: [1] 1,14 unequal: No Solution Moving to Node #0,0,0 Current State: 14:[88, 75], Operations: ['84-82=2', '77-2=75'] Exploring Operation: 88+75=163, Resulting Numbers: [163] 163,14 unequal: No Solution Exploring Operation: 88-75=13, Resulting Numbers: [13] 13,14 unequal: No Solution Exploring Operation: 88*75=6600, Resulting Numbers: [6600] 6600,14 unequal: No Solution Moving to Node #0,0,1 Current State: 14:[77, 86], Operations: ['84-82=2', '88-2=86'] Exploring Operation: 77*86=6622, Resulting Numbers: [6622] 6622,14 unequal: No Solution Exploring Operation: 77+86=163, Resulting Numbers: [163] 163,14 unequal: No Solution Exploring Operation: 86-77=9, Resulting Numbers: [9] 9,14 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 88, 44, 2, 70 ]
80
[ "88-70=18", "2*18=36", "44+36=80" ]
Current State: 80:[88, 44, 2, 70], Operations: [] Exploring Operation: 88-70=18, Resulting Numbers: [44, 2, 18] Generated Node #2: [44, 2, 18] from Operation: 88-70=18 Current State: 80:[44, 2, 18], Operations: ['88-70=18'] Exploring Operation: 2*18=36, Resulting Numbers: [44, 36] Generated Node #3: [44, 36] from Operation: 2*18=36 Current State: 80:[44, 36], Operations: ['88-70=18', '2*18=36'] Exploring Operation: 44+36=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[88, 44, 2, 70], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [2, 70, 2] Generated Node #0,0: 80:[2, 70, 2] Operation: 88/44=2 Exploring Operation: 88-70=18, Resulting Numbers: [44, 2, 18] Generated Node #0,1: 80:[44, 2, 18] Operation: 88-70=18 Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[44, 2, 18], Operations: ['88-70=18'] Exploring Operation: 44-2=42, Resulting Numbers: [18, 42] Generated Node #0,1,0: 80:[18, 42] Operation: 44-2=42 Exploring Operation: 44/2=22, Resulting Numbers: [18, 22] Generated Node #0,1,1: 80:[18, 22] Operation: 44/2=22 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 80:[18, 42], Operations: ['88-70=18', '44-2=42'] Exploring Operation: 42-18=24, Resulting Numbers: [24] 24,80 unequal: No Solution Exploring Operation: 18+42=60, Resulting Numbers: [60] 60,80 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: 80:[18, 22], Operations: ['88-70=18', '44/2=22'] Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,80 unequal: No Solution Exploring Operation: 18+22=40, Resulting Numbers: [40] 40,80 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: 80:[2, 70, 2], Operations: ['88/44=2'] Exploring Operation: 70/2=35, Resulting Numbers: [2, 35] Generated Node #0,0,0: 80:[2, 35] Operation: 70/2=35 Exploring Operation: 70/2=35, Resulting Numbers: [2, 35] Generated Node #0,0,1: 80:[2, 35] Operation: 70/2=35 Moving to Node #0,0,0 Current State: 80:[2, 35], Operations: ['88/44=2', '70/2=35'] Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,80 unequal: No Solution Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[2, 35], Operations: ['88/44=2', '70/2=35'] Exploring Operation: 35-2=33, Resulting Numbers: [33] 33,80 unequal: No Solution Exploring Operation: 2+35=37, Resulting Numbers: [37] 37,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 68, 2, 7, 23 ]
77
[ "68/2=34", "34-23=11", "7*11=77" ]
Current State: 77:[68, 2, 7, 23], Operations: [] Exploring Operation: 68/2=34, Resulting Numbers: [7, 23, 34] Generated Node #2: [7, 23, 34] from Operation: 68/2=34 Current State: 77:[7, 23, 34], Operations: ['68/2=34'] Exploring Operation: 34-23=11, Resulting Numbers: [7, 11] Generated Node #3: [7, 11] from Operation: 34-23=11 Current State: 77:[7, 11], Operations: ['68/2=34', '34-23=11'] Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[68, 2, 7, 23], Operations: [] Exploring Operation: 68+7=75, Resulting Numbers: [2, 23, 75] Generated Node #0,0: 77:[2, 23, 75] Operation: 68+7=75 Exploring Operation: 68+2=70, Resulting Numbers: [7, 23, 70] Generated Node #0,1: 77:[7, 23, 70] Operation: 68+2=70 Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[2, 23, 75], Operations: ['68+7=75'] Exploring Operation: 23-2=21, Resulting Numbers: [75, 21] Generated Node #0,0,0: 77:[75, 21] Operation: 23-2=21 Exploring Operation: 2+75=77, Resulting Numbers: [23, 77] Generated Node #0,0,1: 77:[23, 77] Operation: 2+75=77 Moving to Node #0,0,0 Current State: 77:[75, 21], Operations: ['68+7=75', '23-2=21'] Exploring Operation: 75+21=96, Resulting Numbers: [96] 96,77 unequal: No Solution Exploring Operation: 75-21=54, Resulting Numbers: [54] 54,77 unequal: No Solution Moving to Node #0,0,1 Current State: 77:[23, 77], Operations: ['68+7=75', '2+75=77'] Exploring Operation: 23+77=100, Resulting Numbers: [100] 100,77 unequal: No Solution Exploring Operation: 77-23=54, Resulting Numbers: [54] 54,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[7, 23, 70], Operations: ['68+2=70'] Exploring Operation: 7+70=77, Resulting Numbers: [23, 77] Generated Node #0,1,0: 77:[23, 77] Operation: 7+70=77 Exploring Operation: 23-7=16, Resulting Numbers: [70, 16] Generated Node #0,1,1: 77:[70, 16] Operation: 23-7=16 Moving to Node #0,1,0 Current State: 77:[23, 77], Operations: ['68+2=70', '7+70=77'] Exploring Operation: 23+77=100, Resulting Numbers: [100] 100,77 unequal: No Solution Exploring Operation: 77-23=54, Resulting Numbers: [54] 54,77 unequal: No Solution Moving to Node #0,1,1 Current State: 77:[70, 16], Operations: ['68+2=70', '23-7=16'] Exploring Operation: 70+16=86, Resulting Numbers: [86] 86,77 unequal: No Solution Exploring Operation: 70-16=54, Resulting Numbers: [54] 54,77 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
[ 93, 55, 33, 20 ]
58
[ "93-33=60", "60/20=3", "55+3=58" ]
Current State: 58:[93, 55, 33, 20], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [55, 20, 60] Generated Node #2: [55, 20, 60] from Operation: 93-33=60 Current State: 58:[55, 20, 60], Operations: ['93-33=60'] Exploring Operation: 60/20=3, Resulting Numbers: [55, 3] Generated Node #3: [55, 3] from Operation: 60/20=3 Current State: 58:[55, 3], Operations: ['93-33=60', '60/20=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[93, 55, 33, 20], Operations: [] Exploring Operation: 55-20=35, Resulting Numbers: [93, 33, 35] Generated Node #0,0: 58:[93, 33, 35] Operation: 55-20=35 Exploring Operation: 93-55=38, Resulting Numbers: [33, 20, 38] Generated Node #0,1: 58:[33, 20, 38] Operation: 93-55=38 Exploring Operation: 93-20=73, Resulting Numbers: [55, 33, 73] Generated Node #0,2: 58:[55, 33, 73] Operation: 93-20=73 Exploring Operation: 33+20=53, Resulting Numbers: [93, 55, 53] Generated Node #0,3: 58:[93, 55, 53] Operation: 33+20=53 Exploring Operation: 93-33=60, Resulting Numbers: [55, 20, 60] Generated Node #0,4: 58:[55, 20, 60] Operation: 93-33=60 Moving to Node #0,4 Current State: 58:[55, 20, 60], Operations: ['93-33=60'] Exploring Operation: 60/20=3, Resulting Numbers: [55, 3] Generated Node #0,4,0: 58:[55, 3] Operation: 60/20=3 Exploring Operation: 55-20=35, Resulting Numbers: [60, 35] Generated Node #0,4,1: 58:[60, 35] Operation: 55-20=35 Exploring Operation: 60-20=40, Resulting Numbers: [55, 40] Generated Node #0,4,2: 58:[55, 40] Operation: 60-20=40 Exploring Operation: 55+20=75, Resulting Numbers: [60, 75] Generated Node #0,4,3: 58:[60, 75] Operation: 55+20=75 Exploring Operation: 60-55=5, Resulting Numbers: [20, 5] Generated Node #0,4,4: 58:[20, 5] Operation: 60-55=5 Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 58:[55, 3], Operations: ['93-33=60', '60/20=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[93, 55, 33, 20], Operations: [] Exploring Operation: 93-33=60, Resulting Numbers: [55, 20, 60] Generated Node #0,4: 58:[55, 20, 60] Operation: 93-33=60 Moving to Node #0,4 Current State: 58:[55, 20, 60], Operations: ['93-33=60'] Exploring Operation: 60/20=3, Resulting Numbers: [55, 3] Generated Node #0,4,0: 58:[55, 3] Operation: 60/20=3 Moving to Node #0,4,0 Current State: 58:[55, 3], Operations: ['93-33=60', '60/20=3'] Exploring Operation: 55+3=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 12, 9, 13, 11 ]
59
[ "13-9=4", "12*4=48", "11+48=59" ]
Current State: 59:[12, 9, 13, 11], Operations: [] Exploring Operation: 13-9=4, Resulting Numbers: [12, 11, 4] Generated Node #2: [12, 11, 4] from Operation: 13-9=4 Current State: 59:[12, 11, 4], Operations: ['13-9=4'] Exploring Operation: 12*4=48, Resulting Numbers: [11, 48] Generated Node #3: [11, 48] from Operation: 12*4=48 Current State: 59:[11, 48], Operations: ['13-9=4', '12*4=48'] Exploring Operation: 11+48=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[12, 9, 13, 11], Operations: [] Exploring Operation: 12+11=23, Resulting Numbers: [9, 13, 23] Generated Node #0,0: 59:[9, 13, 23] Operation: 12+11=23 Exploring Operation: 9+13=22, Resulting Numbers: [12, 11, 22] Generated Node #0,1: 59:[12, 11, 22] Operation: 9+13=22 Exploring Operation: 9+11=20, Resulting Numbers: [12, 13, 20] Generated Node #0,2: 59:[12, 13, 20] Operation: 9+11=20 Exploring Operation: 12+9=21, Resulting Numbers: [13, 11, 21] Generated Node #0,3: 59:[13, 11, 21] Operation: 12+9=21 Exploring Operation: 12+13=25, Resulting Numbers: [9, 11, 25] Generated Node #0,4: 59:[9, 11, 25] Operation: 12+13=25 Moving to Node #0,0 Current State: 59:[9, 13, 23], Operations: ['12+11=23'] Exploring Operation: 9+23=32, Resulting Numbers: [13, 32] Generated Node #0,0,0: 59:[13, 32] Operation: 9+23=32 Exploring Operation: 13+23=36, Resulting Numbers: [9, 36] Generated Node #0,0,1: 59:[9, 36] Operation: 13+23=36 Exploring Operation: 13-9=4, Resulting Numbers: [23, 4] Generated Node #0,0,2: 59:[23, 4] Operation: 13-9=4 Exploring Operation: 23-9=14, Resulting Numbers: [13, 14] Generated Node #0,0,3: 59:[13, 14] Operation: 23-9=14 Exploring Operation: 9+13=22, Resulting Numbers: [23, 22] Generated Node #0,0,4: 59:[23, 22] Operation: 9+13=22 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 59:[13, 32], Operations: ['12+11=23', '9+23=32'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 13*32=416, Resulting Numbers: [416] 416,59 unequal: No Solution Exploring Operation: 13+32=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 59:[9, 36], Operations: ['12+11=23', '13+23=36'] Exploring Operation: 36/9=4, Resulting Numbers: [4] 4,59 unequal: No Solution Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,59 unequal: No Solution Exploring Operation: 9*36=324, Resulting Numbers: [324] 324,59 unequal: No Solution Exploring Operation: 9+36=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 59:[23, 22], Operations: ['12+11=23', '9+13=22'] Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 23+22=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 23*22=506, Resulting Numbers: [506] 506,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 59:[23, 4], Operations: ['12+11=23', '13-9=4'] Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 23*4=92, Resulting Numbers: [92] 92,59 unequal: No Solution Exploring Operation: 23+4=27, Resulting Numbers: [27] 27,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 59:[13, 14], Operations: ['12+11=23', '23-9=14'] Exploring Operation: 13*14=182, Resulting Numbers: [182] 182,59 unequal: No Solution Exploring Operation: 14-13=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 13+14=27, Resulting Numbers: [27] 27,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 59:[12, 13, 20], Operations: ['9+11=20'] Exploring Operation: 13+20=33, Resulting Numbers: [12, 33] Generated Node #0,2,0: 59:[12, 33] Operation: 13+20=33 Exploring Operation: 13-12=1, Resulting Numbers: [20, 1] Generated Node #0,2,1: 59:[20, 1] Operation: 13-12=1 Exploring Operation: 20-12=8, Resulting Numbers: [13, 8] Generated Node #0,2,2: 59:[13, 8] Operation: 20-12=8 Exploring Operation: 12+20=32, Resulting Numbers: [13, 32] Generated Node #0,2,3: 59:[13, 32] Operation: 12+20=32 Exploring Operation: 12+13=25, Resulting Numbers: [20, 25] Generated Node #0,2,4: 59:[20, 25] Operation: 12+13=25 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 59:[12, 33], Operations: ['9+11=20', '13+20=33'] Exploring Operation: 33-12=21, Resulting Numbers: [21] 21,59 unequal: No Solution Exploring Operation: 12*33=396, Resulting Numbers: [396] 396,59 unequal: No Solution Exploring Operation: 12+33=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 59:[13, 32], Operations: ['9+11=20', '12+20=32'] Exploring Operation: 13+32=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 13*32=416, Resulting Numbers: [416] 416,59 unequal: No Solution Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 59:[20, 25], Operations: ['9+11=20', '12+13=25'] Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 20+25=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 20*25=500, Resulting Numbers: [500] 500,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 59:[20, 1], Operations: ['9+11=20', '13-12=1'] Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,59 unequal: No Solution Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,59 unequal: No Solution Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 59:[13, 8], Operations: ['9+11=20', '20-12=8'] Exploring Operation: 13-8=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 13*8=104, Resulting Numbers: [104] 104,59 unequal: No Solution Exploring Operation: 13+8=21, Resulting Numbers: [21] 21,59 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: 59:[9, 11, 25], Operations: ['12+13=25'] Exploring Operation: 11+25=36, Resulting Numbers: [9, 36] Generated Node #0,4,0: 59:[9, 36] Operation: 11+25=36 Exploring Operation: 9+25=34, Resulting Numbers: [11, 34] Generated Node #0,4,1: 59:[11, 34] Operation: 9+25=34 Exploring Operation: 11-9=2, Resulting Numbers: [25, 2] Generated Node #0,4,2: 59:[25, 2] Operation: 11-9=2 Exploring Operation: 9*11=99, Resulting Numbers: [25, 99] Generated Node #0,4,3: 59:[25, 99] Operation: 9*11=99 Exploring Operation: 9+11=20, Resulting Numbers: [25, 20] Generated Node #0,4,4: 59:[25, 20] Operation: 9+11=20 Moving to Node #0,1 Current State: 59:[12, 11, 22], Operations: ['9+13=22'] Exploring Operation: 11+22=33, Resulting Numbers: [12, 33] Generated Node #0,1,0: 59:[12, 33] Operation: 11+22=33 Exploring Operation: 12+22=34, Resulting Numbers: [11, 34] Generated Node #0,1,1: 59:[11, 34] Operation: 12+22=34 Exploring Operation: 12-11=1, Resulting Numbers: [22, 1] Generated Node #0,1,2: 59:[22, 1] Operation: 12-11=1 Exploring Operation: 12+11=23, Resulting Numbers: [22, 23] Generated Node #0,1,3: 59:[22, 23] Operation: 12+11=23 Exploring Operation: 22-11=11, Resulting Numbers: [12, 11] Generated Node #0,1,4: 59:[12, 11] Operation: 22-11=11 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 59:[12, 33], Operations: ['9+13=22', '11+22=33'] Exploring Operation: 33-12=21, Resulting Numbers: [21] 21,59 unequal: No Solution Exploring Operation: 12+33=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 12*33=396, Resulting Numbers: [396] 396,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 59:[11, 34], Operations: ['9+13=22', '12+22=34'] Exploring Operation: 11*34=374, Resulting Numbers: [374] 374,59 unequal: No Solution Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,59 unequal: No Solution Exploring Operation: 11+34=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 59:[22, 23], Operations: ['9+13=22', '12+11=23'] Exploring Operation: 22+23=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 23-22=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 22*23=506, Resulting Numbers: [506] 506,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 59:[22, 1], Operations: ['9+13=22', '12-11=1'] Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,59 unequal: No Solution Exploring Operation: 22-1=21, Resulting Numbers: [21] 21,59 unequal: No Solution Exploring Operation: 22/1=22, Resulting Numbers: [22] 22,59 unequal: No Solution Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 59:[12, 11], Operations: ['9+13=22', '22-11=11'] Exploring Operation: 12+11=23, Resulting Numbers: [23] 23,59 unequal: No Solution Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,59 unequal: No Solution Exploring Operation: 12*11=132, Resulting Numbers: [132] 132,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 59:[13, 11, 21], Operations: ['12+9=21'] Exploring Operation: 13+21=34, Resulting Numbers: [11, 34] Generated Node #0,3,0: 59:[11, 34] Operation: 13+21=34 Exploring Operation: 11+21=32, Resulting Numbers: [13, 32] Generated Node #0,3,1: 59:[13, 32] Operation: 11+21=32 Exploring Operation: 13+11=24, Resulting Numbers: [21, 24] Generated Node #0,3,2: 59:[21, 24] Operation: 13+11=24 Exploring Operation: 21-11=10, Resulting Numbers: [13, 10] Generated Node #0,3,3: 59:[13, 10] Operation: 21-11=10 Exploring Operation: 13-11=2, Resulting Numbers: [21, 2] Generated Node #0,3,4: 59:[21, 2] Operation: 13-11=2 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 59:[11, 34], Operations: ['12+9=21', '13+21=34'] Exploring Operation: 11*34=374, Resulting Numbers: [374] 374,59 unequal: No Solution Exploring Operation: 11+34=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 59:[13, 32], Operations: ['12+9=21', '11+21=32'] Exploring Operation: 13*32=416, Resulting Numbers: [416] 416,59 unequal: No Solution Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 13+32=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 59:[21, 24], Operations: ['12+9=21', '13+11=24'] Exploring Operation: 24-21=3, Resulting Numbers: [3] 3,59 unequal: No Solution Exploring Operation: 21*24=504, Resulting Numbers: [504] 504,59 unequal: No Solution Exploring Operation: 21+24=45, Resulting Numbers: [45] 45,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 59:[13, 10], Operations: ['12+9=21', '21-11=10'] Exploring Operation: 13*10=130, Resulting Numbers: [130] 130,59 unequal: No Solution Exploring Operation: 13+10=23, Resulting Numbers: [23] 23,59 unequal: No Solution Exploring Operation: 13-10=3, Resulting Numbers: [3] 3,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 59:[21, 2], Operations: ['12+9=21', '13-11=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,59 unequal: No Solution Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,59 unequal: No Solution Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,59 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: 59:[9, 36], Operations: ['12+13=25', '11+25=36'] Exploring Operation: 9+36=45, Resulting Numbers: [45] 45,59 unequal: No Solution Exploring Operation: 36/9=4, Resulting Numbers: [4] 4,59 unequal: No Solution Exploring Operation: 36-9=27, Resulting Numbers: [27] 27,59 unequal: No Solution Exploring Operation: 9*36=324, Resulting Numbers: [324] 324,59 unequal: No Solution Moving to Node #0,4,4 Current State: 59:[25, 20], Operations: ['12+13=25', '9+11=20'] Exploring Operation: 25*20=500, Resulting Numbers: [500] 500,59 unequal: No Solution Exploring Operation: 25-20=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,59 unequal: No Solution Moving to Node #0,4,1 Current State: 59:[11, 34], Operations: ['12+13=25', '9+25=34'] Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,59 unequal: No Solution Exploring Operation: 11*34=374, Resulting Numbers: [374] 374,59 unequal: No Solution Exploring Operation: 11+34=45, Resulting Numbers: [45] 45,59 unequal: No Solution Moving to Node #0,4,3 Current State: 59:[25, 99], Operations: ['12+13=25', '9*11=99'] Exploring Operation: 25*99=2475, Resulting Numbers: [2475] 2475,59 unequal: No Solution Exploring Operation: 99-25=74, Resulting Numbers: [74] 74,59 unequal: No Solution Exploring Operation: 25+99=124, Resulting Numbers: [124] 124,59 unequal: No Solution Moving to Node #0,4,2 Current State: 59:[25, 2], Operations: ['12+13=25', '11-9=2'] Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,59 unequal: No Solution Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,59 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,59 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 76, 62, 49, 38 ]
73
[ "76-62=14", "49+38=87", "87-14=73" ]
Current State: 73:[76, 62, 49, 38], Operations: [] Exploring Operation: 76-62=14, Resulting Numbers: [49, 38, 14] Generated Node #2: [49, 38, 14] from Operation: 76-62=14 Current State: 73:[49, 38, 14], Operations: ['76-62=14'] Exploring Operation: 49+38=87, Resulting Numbers: [14, 87] Generated Node #3: [14, 87] from Operation: 49+38=87 Current State: 73:[14, 87], Operations: ['76-62=14', '49+38=87'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[76, 62, 49, 38], Operations: [] Exploring Operation: 49+38=87, Resulting Numbers: [76, 62, 87] Generated Node #0,0: 73:[76, 62, 87] Operation: 49+38=87 Moving to Node #0,0 Current State: 73:[76, 62, 87], Operations: ['49+38=87'] Exploring Operation: 87-62=25, Resulting Numbers: [76, 25] Generated Node #0,0,0: 73:[76, 25] Operation: 87-62=25 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 73:[76, 25], Operations: ['49+38=87', '87-62=25'] Exploring Operation: 76-25=51, Resulting Numbers: [51] 51,73 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
[ 99, 49, 82, 2 ]
91
[ "99-49=50", "82/2=41", "50+41=91" ]
Current State: 91:[99, 49, 82, 2], Operations: [] Exploring Operation: 99-49=50, Resulting Numbers: [82, 2, 50] Generated Node #2: [82, 2, 50] from Operation: 99-49=50 Current State: 91:[82, 2, 50], Operations: ['99-49=50'] Exploring Operation: 82/2=41, Resulting Numbers: [50, 41] Generated Node #3: [50, 41] from Operation: 82/2=41 Current State: 91:[50, 41], Operations: ['99-49=50', '82/2=41'] Exploring Operation: 50+41=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[99, 49, 82, 2], Operations: [] Exploring Operation: 49*2=98, Resulting Numbers: [99, 82, 98] Generated Node #0,0: 91:[99, 82, 98] Operation: 49*2=98 Exploring Operation: 82-49=33, Resulting Numbers: [99, 2, 33] Generated Node #0,1: 91:[99, 2, 33] Operation: 82-49=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[99, 82, 98], Operations: ['49*2=98'] Exploring Operation: 98-82=16, Resulting Numbers: [99, 16] Generated Node #0,0,0: 91:[99, 16] Operation: 98-82=16 Exploring Operation: 99-82=17, Resulting Numbers: [98, 17] Generated Node #0,0,1: 91:[98, 17] Operation: 99-82=17 Moving to Node #0,0,0 Current State: 91:[99, 16], Operations: ['49*2=98', '98-82=16'] Exploring Operation: 99+16=115, Resulting Numbers: [115] 115,91 unequal: No Solution Exploring Operation: 99-16=83, Resulting Numbers: [83] 83,91 unequal: No Solution Moving to Node #0,0,1 Current State: 91:[98, 17], Operations: ['49*2=98', '99-82=17'] Exploring Operation: 98-17=81, Resulting Numbers: [81] 81,91 unequal: No Solution Exploring Operation: 98+17=115, Resulting Numbers: [115] 115,91 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 91:[99, 2, 33], Operations: ['82-49=33'] Exploring Operation: 99/33=3, Resulting Numbers: [2, 3] Generated Node #0,1,0: 91:[2, 3] Operation: 99/33=3 Exploring Operation: 99-2=97, Resulting Numbers: [33, 97] Generated Node #0,1,1: 91:[33, 97] Operation: 99-2=97 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 91:[2, 3], Operations: ['82-49=33', '99/33=3'] Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,91 unequal: No Solution Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 91:[33, 97], Operations: ['82-49=33', '99-2=97'] Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,91 unequal: No Solution Exploring Operation: 33+97=130, Resulting Numbers: [130] 130,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 39, 7, 30, 59 ]
43
[ "39+7=46", "30+59=89", "89-46=43" ]
Current State: 43:[39, 7, 30, 59], Operations: [] Exploring Operation: 39+7=46, Resulting Numbers: [30, 59, 46] Generated Node #2: [30, 59, 46] from Operation: 39+7=46 Current State: 43:[30, 59, 46], Operations: ['39+7=46'] Exploring Operation: 30+59=89, Resulting Numbers: [46, 89] Generated Node #3: [46, 89] from Operation: 30+59=89 Current State: 43:[46, 89], Operations: ['39+7=46', '30+59=89'] Exploring Operation: 89-46=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[39, 7, 30, 59], Operations: [] Exploring Operation: 7+30=37, Resulting Numbers: [39, 59, 37] Generated Node #0,0: 43:[39, 59, 37] Operation: 7+30=37 Exploring Operation: 39-7=32, Resulting Numbers: [30, 59, 32] Generated Node #0,1: 43:[30, 59, 32] Operation: 39-7=32 Exploring Operation: 59-7=52, Resulting Numbers: [39, 30, 52] Generated Node #0,2: 43:[39, 30, 52] Operation: 59-7=52 Exploring Operation: 39+7=46, Resulting Numbers: [30, 59, 46] Generated Node #0,3: 43:[30, 59, 46] Operation: 39+7=46 Moving to Node #0,0 Current State: 43:[39, 59, 37], Operations: ['7+30=37'] Exploring Operation: 59-39=20, Resulting Numbers: [37, 20] Generated Node #0,0,0: 43:[37, 20] Operation: 59-39=20 Exploring Operation: 59-37=22, Resulting Numbers: [39, 22] Generated Node #0,0,1: 43:[39, 22] Operation: 59-37=22 Exploring Operation: 39-37=2, Resulting Numbers: [59, 2] Generated Node #0,0,2: 43:[59, 2] Operation: 39-37=2 Exploring Operation: 39+37=76, Resulting Numbers: [59, 76] Generated Node #0,0,3: 43:[59, 76] Operation: 39+37=76 Moving to Node #0,2 Current State: 43:[39, 30, 52], Operations: ['59-7=52'] Exploring Operation: 39-30=9, Resulting Numbers: [52, 9] Generated Node #0,2,0: 43:[52, 9] Operation: 39-30=9 Exploring Operation: 39+30=69, Resulting Numbers: [52, 69] Generated Node #0,2,1: 43:[52, 69] Operation: 39+30=69 Exploring Operation: 52-30=22, Resulting Numbers: [39, 22] Generated Node #0,2,2: 43:[39, 22] Operation: 52-30=22 Exploring Operation: 52-39=13, Resulting Numbers: [30, 13] Generated Node #0,2,3: 43:[30, 13] Operation: 52-39=13 Moving to Node #0,3 Current State: 43:[30, 59, 46], Operations: ['39+7=46'] Exploring Operation: 59-46=13, Resulting Numbers: [30, 13] Generated Node #0,3,0: 43:[30, 13] Operation: 59-46=13 Exploring Operation: 30+59=89, Resulting Numbers: [46, 89] Generated Node #0,3,1: 43:[46, 89] Operation: 30+59=89 Exploring Operation: 46-30=16, Resulting Numbers: [59, 16] Generated Node #0,3,2: 43:[59, 16] Operation: 46-30=16 Exploring Operation: 59-30=29, Resulting Numbers: [46, 29] Generated Node #0,3,3: 43:[46, 29] Operation: 59-30=29 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 43:[46, 29], Operations: ['39+7=46', '59-30=29'] Exploring Operation: 46-29=17, Resulting Numbers: [17] 17,43 unequal: No Solution Exploring Operation: 46*29=1334, Resulting Numbers: [1334] 1334,43 unequal: No Solution Exploring Operation: 46+29=75, Resulting Numbers: [75] 75,43 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 #0,3,0 Current State: 43:[30, 13], Operations: ['39+7=46', '59-46=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[39, 7, 30, 59], Operations: [] Exploring Operation: 39+7=46, Resulting Numbers: [30, 59, 46] Generated Node #0,3: 43:[30, 59, 46] Operation: 39+7=46 Moving to Node #0,3 Current State: 43:[30, 59, 46], Operations: ['39+7=46'] Exploring Operation: 59-46=13, Resulting Numbers: [30, 13] Generated Node #0,3,0: 43:[30, 13] Operation: 59-46=13 Moving to Node #0,3,0 Current State: 43:[30, 13], Operations: ['39+7=46', '59-46=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_4
mult_heuristic
[ 10, 91, 52, 80 ]
58
[ "91-80=11", "10*11=110", "110-52=58" ]
Current State: 58:[10, 91, 52, 80], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [10, 52, 11] Generated Node #2: [10, 52, 11] from Operation: 91-80=11 Current State: 58:[10, 52, 11], Operations: ['91-80=11'] Exploring Operation: 10*11=110, Resulting Numbers: [52, 110] Generated Node #3: [52, 110] from Operation: 10*11=110 Current State: 58:[52, 110], Operations: ['91-80=11', '10*11=110'] Exploring Operation: 110-52=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[10, 91, 52, 80], Operations: [] Exploring Operation: 91-80=11, Resulting Numbers: [10, 52, 11] Generated Node #0,0: 58:[10, 52, 11] Operation: 91-80=11 Exploring Operation: 91-52=39, Resulting Numbers: [10, 80, 39] Generated Node #0,1: 58:[10, 80, 39] Operation: 91-52=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 58:[10, 52, 11], Operations: ['91-80=11'] Exploring Operation: 11-10=1, Resulting Numbers: [52, 1] Generated Node #0,0,0: 58:[52, 1] Operation: 11-10=1 Exploring Operation: 10+52=62, Resulting Numbers: [11, 62] Generated Node #0,0,1: 58:[11, 62] Operation: 10+52=62 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 58:[52, 1], Operations: ['91-80=11', '11-10=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,58 unequal: No Solution Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,58 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: 58:[11, 62], Operations: ['91-80=11', '10+52=62'] Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,58 unequal: No Solution Exploring Operation: 11+62=73, Resulting Numbers: [73] 73,58 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: 58:[10, 80, 39], Operations: ['91-52=39'] Exploring Operation: 80-39=41, Resulting Numbers: [10, 41] Generated Node #0,1,0: 58:[10, 41] Operation: 80-39=41 Exploring Operation: 80/10=8, Resulting Numbers: [39, 8] Generated Node #0,1,1: 58:[39, 8] Operation: 80/10=8 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 58:[39, 8], Operations: ['91-52=39', '80/10=8'] Exploring Operation: 39-8=31, Resulting Numbers: [31] 31,58 unequal: No Solution Exploring Operation: 39+8=47, Resulting Numbers: [47] 47,58 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: 58:[10, 41], Operations: ['91-52=39', '80-39=41'] Exploring Operation: 41-10=31, Resulting Numbers: [31] 31,58 unequal: No Solution Exploring Operation: 10+41=51, Resulting Numbers: [51] 51,58 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
[ 14, 24, 42, 49 ]
26
[ "49-42=7", "14/7=2", "24+2=26" ]
Current State: 26:[14, 24, 42, 49], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [14, 24, 7] Generated Node #2: [14, 24, 7] from Operation: 49-42=7 Current State: 26:[14, 24, 7], Operations: ['49-42=7'] Exploring Operation: 14/7=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 14/7=2 Current State: 26:[24, 2], Operations: ['49-42=7', '14/7=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[14, 24, 42, 49], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [14, 24, 7] Generated Node #0,0: 26:[14, 24, 7] Operation: 49-42=7 Exploring Operation: 49-24=25, Resulting Numbers: [14, 42, 25] Generated Node #0,1: 26:[14, 42, 25] Operation: 49-24=25 Exploring Operation: 42/14=3, Resulting Numbers: [24, 49, 3] Generated Node #0,2: 26:[24, 49, 3] Operation: 42/14=3 Moving to Node #0,0 Current State: 26:[14, 24, 7], Operations: ['49-42=7'] Exploring Operation: 14/7=2, Resulting Numbers: [24, 2] Generated Node #0,0,0: 26:[24, 2] Operation: 14/7=2 Exploring Operation: 24+7=31, Resulting Numbers: [14, 31] Generated Node #0,0,1: 26:[14, 31] Operation: 24+7=31 Exploring Operation: 24-7=17, Resulting Numbers: [14, 17] Generated Node #0,0,2: 26:[14, 17] Operation: 24-7=17 Moving to Node #0,1 Current State: 26:[14, 42, 25], Operations: ['49-24=25'] Exploring Operation: 42-14=28, Resulting Numbers: [25, 28] Generated Node #0,1,0: 26:[25, 28] Operation: 42-14=28 Exploring Operation: 42-25=17, Resulting Numbers: [14, 17] Generated Node #0,1,1: 26:[14, 17] Operation: 42-25=17 Exploring Operation: 42/14=3, Resulting Numbers: [25, 3] Generated Node #0,1,2: 26:[25, 3] Operation: 42/14=3 Moving to Node #0,2 Current State: 26:[24, 49, 3], Operations: ['42/14=3'] Exploring Operation: 49-24=25, Resulting Numbers: [3, 25] Generated Node #0,2,0: 26:[3, 25] Operation: 49-24=25 Exploring Operation: 49-3=46, Resulting Numbers: [24, 46] Generated Node #0,2,1: 26:[24, 46] Operation: 49-3=46 Exploring Operation: 24+3=27, Resulting Numbers: [49, 27] Generated Node #0,2,2: 26:[49, 27] Operation: 24+3=27 Moving to Node #0,0,0 Current State: 26:[24, 2], Operations: ['49-42=7', '14/7=2'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,26 unequal: No Solution Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,26 unequal: No Solution Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[14, 24, 42, 49], Operations: [] Exploring Operation: 49-42=7, Resulting Numbers: [14, 24, 7] Generated Node #0,0: 26:[14, 24, 7] Operation: 49-42=7 Moving to Node #0,0 Current State: 26:[14, 24, 7], Operations: ['49-42=7'] Exploring Operation: 14/7=2, Resulting Numbers: [24, 2] Generated Node #0,0,0: 26:[24, 2] Operation: 14/7=2 Moving to Node #0,0,0 Current State: 26:[24, 2], Operations: ['49-42=7', '14/7=2'] Exploring Operation: 24+2=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
0.983507
hs_3
mult_heuristic
[ 58, 50, 5, 97 ]
100
[ "58-50=8", "97-5=92", "8+92=100" ]
Current State: 100:[58, 50, 5, 97], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [5, 97, 8] Generated Node #2: [5, 97, 8] from Operation: 58-50=8 Current State: 100:[5, 97, 8], Operations: ['58-50=8'] Exploring Operation: 97-5=92, Resulting Numbers: [8, 92] Generated Node #3: [8, 92] from Operation: 97-5=92 Current State: 100:[8, 92], Operations: ['58-50=8', '97-5=92'] Exploring Operation: 8+92=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[58, 50, 5, 97], Operations: [] Exploring Operation: 97-58=39, Resulting Numbers: [50, 5, 39] Generated Node #0,0: 100:[50, 5, 39] Operation: 97-58=39 Exploring Operation: 58-50=8, Resulting Numbers: [5, 97, 8] Generated Node #0,1: 100:[5, 97, 8] Operation: 58-50=8 Exploring Operation: 58-5=53, Resulting Numbers: [50, 97, 53] Generated Node #0,2: 100:[50, 97, 53] Operation: 58-5=53 Exploring Operation: 58+50=108, Resulting Numbers: [5, 97, 108] Generated Node #0,3: 100:[5, 97, 108] Operation: 58+50=108 Exploring Operation: 5+97=102, Resulting Numbers: [58, 50, 102] Generated Node #0,4: 100:[58, 50, 102] Operation: 5+97=102 Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[5, 97, 8], Operations: ['58-50=8'] Exploring Operation: 97+8=105, Resulting Numbers: [5, 105] Generated Node #0,1,0: 100:[5, 105] Operation: 97+8=105 Exploring Operation: 5+8=13, Resulting Numbers: [97, 13] Generated Node #0,1,1: 100:[97, 13] Operation: 5+8=13 Exploring Operation: 8-5=3, Resulting Numbers: [97, 3] Generated Node #0,1,2: 100:[97, 3] Operation: 8-5=3 Exploring Operation: 97-5=92, Resulting Numbers: [8, 92] Generated Node #0,1,3: 100:[8, 92] Operation: 97-5=92 Exploring Operation: 5+97=102, Resulting Numbers: [8, 102] Generated Node #0,1,4: 100:[8, 102] Operation: 5+97=102 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 100:[97, 3], Operations: ['58-50=8', '8-5=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[58, 50, 5, 97], Operations: [] Exploring Operation: 58-50=8, Resulting Numbers: [5, 97, 8] Generated Node #0,1: 100:[5, 97, 8] Operation: 58-50=8 Moving to Node #0,1 Current State: 100:[5, 97, 8], Operations: ['58-50=8'] Exploring Operation: 8-5=3, Resulting Numbers: [97, 3] Generated Node #0,1,2: 100:[97, 3] Operation: 8-5=3 Moving to Node #0,1,2 Current State: 100:[97, 3], Operations: ['58-50=8', '8-5=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 25, 39, 68, 53 ]
79
[ "25+39=64", "68-53=15", "64+15=79" ]
Current State: 79:[25, 39, 68, 53], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [68, 53, 64] Generated Node #2: [68, 53, 64] from Operation: 25+39=64 Current State: 79:[68, 53, 64], Operations: ['25+39=64'] Exploring Operation: 68-53=15, Resulting Numbers: [64, 15] Generated Node #3: [64, 15] from Operation: 68-53=15 Current State: 79:[64, 15], Operations: ['25+39=64', '68-53=15'] Exploring Operation: 64+15=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[25, 39, 68, 53], Operations: [] Exploring Operation: 25+39=64, Resulting Numbers: [68, 53, 64] Generated Node #0,0: 79:[68, 53, 64] Operation: 25+39=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[68, 53, 64], Operations: ['25+39=64'] Exploring Operation: 53+64=117, Resulting Numbers: [68, 117] Generated Node #0,0,0: 79:[68, 117] Operation: 53+64=117 Moving to Node #0,0,0 Current State: 79:[68, 117], Operations: ['25+39=64', '53+64=117'] Exploring Operation: 117-68=49, Resulting Numbers: [49] 49,79 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
[ 2, 10, 56, 19 ]
52
[ "10+56=66", "66/2=33", "19+33=52" ]
Current State: 52:[2, 10, 56, 19], Operations: [] Exploring Operation: 10+56=66, Resulting Numbers: [2, 19, 66] Generated Node #2: [2, 19, 66] from Operation: 10+56=66 Current State: 52:[2, 19, 66], Operations: ['10+56=66'] Exploring Operation: 66/2=33, Resulting Numbers: [19, 33] Generated Node #3: [19, 33] from Operation: 66/2=33 Current State: 52:[19, 33], Operations: ['10+56=66', '66/2=33'] Exploring Operation: 19+33=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[2, 10, 56, 19], Operations: [] Exploring Operation: 2+10=12, Resulting Numbers: [56, 19, 12] Generated Node #0,0: 52:[56, 19, 12] Operation: 2+10=12 Exploring Operation: 10/2=5, Resulting Numbers: [56, 19, 5] Generated Node #0,1: 52:[56, 19, 5] Operation: 10/2=5 Exploring Operation: 10+19=29, Resulting Numbers: [2, 56, 29] Generated Node #0,2: 52:[2, 56, 29] Operation: 10+19=29 Exploring Operation: 19-10=9, Resulting Numbers: [2, 56, 9] Generated Node #0,3: 52:[2, 56, 9] Operation: 19-10=9 Exploring Operation: 56-2=54, Resulting Numbers: [10, 19, 54] Generated Node #0,4: 52:[10, 19, 54] Operation: 56-2=54 Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[2, 56, 29], Operations: ['10+19=29'] Exploring Operation: 2+56=58, Resulting Numbers: [29, 58] Generated Node #0,2,0: 52:[29, 58] Operation: 2+56=58 Exploring Operation: 56/2=28, Resulting Numbers: [29, 28] Generated Node #0,2,1: 52:[29, 28] Operation: 56/2=28 Exploring Operation: 56-2=54, Resulting Numbers: [29, 54] Generated Node #0,2,2: 52:[29, 54] Operation: 56-2=54 Exploring Operation: 56-29=27, Resulting Numbers: [2, 27] Generated Node #0,2,3: 52:[2, 27] Operation: 56-29=27 Exploring Operation: 29-2=27, Resulting Numbers: [56, 27] Generated Node #0,2,4: 52:[56, 27] Operation: 29-2=27 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 52:[2, 27], Operations: ['10+19=29', '56-29=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,52 unequal: No Solution Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,52 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: 52:[29, 28], Operations: ['10+19=29', '56/2=28'] Exploring Operation: 29-28=1, Resulting Numbers: [1] 1,52 unequal: No Solution Exploring Operation: 29*28=812, Resulting Numbers: [812] 812,52 unequal: No Solution Exploring Operation: 29+28=57, Resulting Numbers: [57] 57,52 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: 52:[29, 54], Operations: ['10+19=29', '56-2=54'] Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,52 unequal: No Solution Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 29*54=1566, Resulting Numbers: [1566] 1566,52 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: 52:[56, 27], Operations: ['10+19=29', '29-2=27'] Exploring Operation: 56+27=83, Resulting Numbers: [83] 83,52 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 56*27=1512, Resulting Numbers: [1512] 1512,52 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: 52:[29, 58], Operations: ['10+19=29', '2+56=58'] Exploring Operation: 29*58=1682, Resulting Numbers: [1682] 1682,52 unequal: No Solution Exploring Operation: 58/29=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 29+58=87, Resulting Numbers: [87] 87,52 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: 52:[2, 56, 9], Operations: ['19-10=9'] Exploring Operation: 2+9=11, Resulting Numbers: [56, 11] Generated Node #0,3,0: 52:[56, 11] Operation: 2+9=11 Exploring Operation: 9-2=7, Resulting Numbers: [56, 7] Generated Node #0,3,1: 52:[56, 7] Operation: 9-2=7 Exploring Operation: 56-2=54, Resulting Numbers: [9, 54] Generated Node #0,3,2: 52:[9, 54] Operation: 56-2=54 Exploring Operation: 56-9=47, Resulting Numbers: [2, 47] Generated Node #0,3,3: 52:[2, 47] Operation: 56-9=47 Exploring Operation: 56/2=28, Resulting Numbers: [9, 28] Generated Node #0,3,4: 52:[9, 28] Operation: 56/2=28 Moving to Node #0,3,3 Current State: 52:[2, 47], Operations: ['19-10=9', '56-9=47'] Exploring Operation: 2*47=94, Resulting Numbers: [94] 94,52 unequal: No Solution Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,52 unequal: No Solution Moving to Node #0,3,2 Current State: 52:[9, 54], Operations: ['19-10=9', '56-2=54'] Exploring Operation: 9*54=486, Resulting Numbers: [486] 486,52 unequal: No Solution Exploring Operation: 54-9=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 9+54=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 54/9=6, Resulting Numbers: [6] 6,52 unequal: No Solution Moving to Node #0,3,0 Current State: 52:[56, 11], Operations: ['19-10=9', '2+9=11'] Exploring Operation: 56+11=67, Resulting Numbers: [67] 67,52 unequal: No Solution Exploring Operation: 56*11=616, Resulting Numbers: [616] 616,52 unequal: No Solution Exploring Operation: 56-11=45, Resulting Numbers: [45] 45,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[9, 28], Operations: ['19-10=9', '56/2=28'] Exploring Operation: 9+28=37, Resulting Numbers: [37] 37,52 unequal: No Solution Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 9*28=252, Resulting Numbers: [252] 252,52 unequal: No Solution Moving to Node #0,3,1 Current State: 52:[56, 7], Operations: ['19-10=9', '9-2=7'] Exploring Operation: 56+7=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,52 unequal: No Solution Exploring Operation: 56/7=8, Resulting Numbers: [8] 8,52 unequal: No Solution Exploring Operation: 56*7=392, Resulting Numbers: [392] 392,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[56, 19, 12], Operations: ['2+10=12'] Exploring Operation: 19+12=31, Resulting Numbers: [56, 31] Generated Node #0,0,0: 52:[56, 31] Operation: 19+12=31 Exploring Operation: 56+12=68, Resulting Numbers: [19, 68] Generated Node #0,0,1: 52:[19, 68] Operation: 56+12=68 Exploring Operation: 56-12=44, Resulting Numbers: [19, 44] Generated Node #0,0,2: 52:[19, 44] Operation: 56-12=44 Exploring Operation: 19-12=7, Resulting Numbers: [56, 7] Generated Node #0,0,3: 52:[56, 7] Operation: 19-12=7 Exploring Operation: 56-19=37, Resulting Numbers: [12, 37] Generated Node #0,0,4: 52:[12, 37] Operation: 56-19=37 Moving to Node #0,0,3 Current State: 52:[56, 7], Operations: ['2+10=12', '19-12=7'] Exploring Operation: 56+7=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 56-7=49, Resulting Numbers: [49] 49,52 unequal: No Solution Exploring Operation: 56*7=392, Resulting Numbers: [392] 392,52 unequal: No Solution Exploring Operation: 56/7=8, Resulting Numbers: [8] 8,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[56, 31], Operations: ['2+10=12', '19+12=31'] Exploring Operation: 56*31=1736, Resulting Numbers: [1736] 1736,52 unequal: No Solution Exploring Operation: 56+31=87, Resulting Numbers: [87] 87,52 unequal: No Solution Exploring Operation: 56-31=25, Resulting Numbers: [25] 25,52 unequal: No Solution Moving to Node #0,0,4 Current State: 52:[12, 37], Operations: ['2+10=12', '56-19=37'] Exploring Operation: 12+37=49, Resulting Numbers: [49] 49,52 unequal: No Solution Exploring Operation: 37-12=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 12*37=444, Resulting Numbers: [444] 444,52 unequal: No Solution Moving to Node #0,0,2 Current State: 52:[19, 44], Operations: ['2+10=12', '56-12=44'] Exploring Operation: 19+44=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 19*44=836, Resulting Numbers: [836] 836,52 unequal: No Solution Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,52 unequal: No Solution Moving to Node #0,0,1 Current State: 52:[19, 68], Operations: ['2+10=12', '56+12=68'] Exploring Operation: 68-19=49, Resulting Numbers: [49] 49,52 unequal: No Solution Exploring Operation: 19+68=87, Resulting Numbers: [87] 87,52 unequal: No Solution Exploring Operation: 19*68=1292, Resulting Numbers: [1292] 1292,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 52:[56, 19, 5], Operations: ['10/2=5'] Exploring Operation: 56-5=51, Resulting Numbers: [19, 51] Generated Node #0,1,0: 52:[19, 51] Operation: 56-5=51 Exploring Operation: 56+5=61, Resulting Numbers: [19, 61] Generated Node #0,1,1: 52:[19, 61] Operation: 56+5=61 Exploring Operation: 19+5=24, Resulting Numbers: [56, 24] Generated Node #0,1,2: 52:[56, 24] Operation: 19+5=24 Exploring Operation: 56-19=37, Resulting Numbers: [5, 37] Generated Node #0,1,3: 52:[5, 37] Operation: 56-19=37 Exploring Operation: 19-5=14, Resulting Numbers: [56, 14] Generated Node #0,1,4: 52:[56, 14] Operation: 19-5=14 Moving to Node #0,1,4 Current State: 52:[56, 14], Operations: ['10/2=5', '19-5=14'] Exploring Operation: 56*14=784, Resulting Numbers: [784] 784,52 unequal: No Solution Exploring Operation: 56+14=70, Resulting Numbers: [70] 70,52 unequal: No Solution Exploring Operation: 56/14=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 56-14=42, Resulting Numbers: [42] 42,52 unequal: No Solution Moving to Node #0,1,2 Current State: 52:[56, 24], Operations: ['10/2=5', '19+5=24'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 56*24=1344, Resulting Numbers: [1344] 1344,52 unequal: No Solution Moving to Node #0,1,0 Current State: 52:[19, 51], Operations: ['10/2=5', '56-5=51'] Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 19+51=70, Resulting Numbers: [70] 70,52 unequal: No Solution Exploring Operation: 19*51=969, Resulting Numbers: [969] 969,52 unequal: No Solution Moving to Node #0,1,3 Current State: 52:[5, 37], Operations: ['10/2=5', '56-19=37'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,52 unequal: No Solution Exploring Operation: 5*37=185, Resulting Numbers: [185] 185,52 unequal: No Solution Exploring Operation: 5+37=42, Resulting Numbers: [42] 42,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[19, 61], Operations: ['10/2=5', '56+5=61'] Exploring Operation: 61-19=42, Resulting Numbers: [42] 42,52 unequal: No Solution Exploring Operation: 19+61=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 19*61=1159, Resulting Numbers: [1159] 1159,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 52:[10, 19, 54], Operations: ['56-2=54'] Exploring Operation: 54-19=35, Resulting Numbers: [10, 35] Generated Node #0,4,0: 52:[10, 35] Operation: 54-19=35 Exploring Operation: 54-10=44, Resulting Numbers: [19, 44] Generated Node #0,4,1: 52:[19, 44] Operation: 54-10=44 Exploring Operation: 10+54=64, Resulting Numbers: [19, 64] Generated Node #0,4,2: 52:[19, 64] Operation: 10+54=64 Exploring Operation: 10+19=29, Resulting Numbers: [54, 29] Generated Node #0,4,3: 52:[54, 29] Operation: 10+19=29 Exploring Operation: 19-10=9, Resulting Numbers: [54, 9] Generated Node #0,4,4: 52:[54, 9] Operation: 19-10=9 Moving to Node #0,4,3 Current State: 52:[54, 29], Operations: ['56-2=54', '10+19=29'] Exploring Operation: 54*29=1566, Resulting Numbers: [1566] 1566,52 unequal: No Solution Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,52 unequal: No Solution Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,52 unequal: No Solution Moving to Node #0,4,4 Current State: 52:[54, 9], Operations: ['56-2=54', '19-10=9'] Exploring Operation: 54+9=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 54-9=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 54*9=486, Resulting Numbers: [486] 486,52 unequal: No Solution Exploring Operation: 54/9=6, Resulting Numbers: [6] 6,52 unequal: No Solution Moving to Node #0,4,0 Current State: 52:[10, 35], Operations: ['56-2=54', '54-19=35'] Exploring Operation: 35-10=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 10+35=45, Resulting Numbers: [45] 45,52 unequal: No Solution Exploring Operation: 10*35=350, Resulting Numbers: [350] 350,52 unequal: No Solution Moving to Node #0,4,1 Current State: 52:[19, 44], Operations: ['56-2=54', '54-10=44'] Exploring Operation: 19+44=63, Resulting Numbers: [63] 63,52 unequal: No Solution Exploring Operation: 44-19=25, Resulting Numbers: [25] 25,52 unequal: No Solution Exploring Operation: 19*44=836, Resulting Numbers: [836] 836,52 unequal: No Solution Moving to Node #0,4,2 Current State: 52:[19, 64], Operations: ['56-2=54', '10+54=64'] Exploring Operation: 19+64=83, Resulting Numbers: [83] 83,52 unequal: No Solution Exploring Operation: 19*64=1216, Resulting Numbers: [1216] 1216,52 unequal: No Solution Exploring Operation: 64-19=45, Resulting Numbers: [45] 45,52 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
[ 84, 28, 19, 6 ]
57
[ "84/28=3", "6-3=3", "19*3=57" ]
Current State: 57:[84, 28, 19, 6], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [19, 6, 3] Generated Node #2: [19, 6, 3] from Operation: 84/28=3 Current State: 57:[19, 6, 3], Operations: ['84/28=3'] Exploring Operation: 6-3=3, Resulting Numbers: [19, 3] Generated Node #3: [19, 3] from Operation: 6-3=3 Current State: 57:[19, 3], Operations: ['84/28=3', '6-3=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[84, 28, 19, 6], Operations: [] Exploring Operation: 84-28=56, Resulting Numbers: [19, 6, 56] Generated Node #0,0: 57:[19, 6, 56] Operation: 84-28=56 Exploring Operation: 84/28=3, Resulting Numbers: [19, 6, 3] Generated Node #0,1: 57:[19, 6, 3] Operation: 84/28=3 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[19, 6, 3], Operations: ['84/28=3'] Exploring Operation: 6*3=18, Resulting Numbers: [19, 18] Generated Node #0,1,0: 57:[19, 18] Operation: 6*3=18 Exploring Operation: 6-3=3, Resulting Numbers: [19, 3] Generated Node #0,1,1: 57:[19, 3] Operation: 6-3=3 Moving to Node #0,1,1 Current State: 57:[19, 3], Operations: ['84/28=3', '6-3=3'] Exploring Operation: 19+3=22, Resulting Numbers: [22] 22,57 unequal: No Solution Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[84, 28, 19, 6], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [19, 6, 3] Generated Node #0,1: 57:[19, 6, 3] Operation: 84/28=3 Moving to Node #0,1 Current State: 57:[19, 6, 3], Operations: ['84/28=3'] Exploring Operation: 6-3=3, Resulting Numbers: [19, 3] Generated Node #0,1,1: 57:[19, 3] Operation: 6-3=3 Moving to Node #0,1,1 Current State: 57:[19, 3], Operations: ['84/28=3', '6-3=3'] Exploring Operation: 19*3=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 81, 64, 15, 88 ]
90
[ "81-64=17", "88-15=73", "17+73=90" ]
Current State: 90:[81, 64, 15, 88], Operations: [] Exploring Operation: 81-64=17, Resulting Numbers: [15, 88, 17] Generated Node #2: [15, 88, 17] from Operation: 81-64=17 Current State: 90:[15, 88, 17], Operations: ['81-64=17'] Exploring Operation: 88-15=73, Resulting Numbers: [17, 73] Generated Node #3: [17, 73] from Operation: 88-15=73 Current State: 90:[17, 73], Operations: ['81-64=17', '88-15=73'] Exploring Operation: 17+73=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[81, 64, 15, 88], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [81, 15, 24] Generated Node #0,0: 90:[81, 15, 24] Operation: 88-64=24 Exploring Operation: 64-15=49, Resulting Numbers: [81, 88, 49] Generated Node #0,1: 90:[81, 88, 49] Operation: 64-15=49 Exploring Operation: 81-64=17, Resulting Numbers: [15, 88, 17] Generated Node #0,2: 90:[15, 88, 17] Operation: 81-64=17 Exploring Operation: 88-81=7, Resulting Numbers: [64, 15, 7] Generated Node #0,3: 90:[64, 15, 7] Operation: 88-81=7 Moving to Node #0,2 Current State: 90:[15, 88, 17], Operations: ['81-64=17'] Exploring Operation: 15+17=32, Resulting Numbers: [88, 32] Generated Node #0,2,0: 90:[88, 32] Operation: 15+17=32 Exploring Operation: 88+17=105, Resulting Numbers: [15, 105] Generated Node #0,2,1: 90:[15, 105] Operation: 88+17=105 Exploring Operation: 15+88=103, Resulting Numbers: [17, 103] Generated Node #0,2,2: 90:[17, 103] Operation: 15+88=103 Exploring Operation: 17-15=2, Resulting Numbers: [88, 2] Generated Node #0,2,3: 90:[88, 2] Operation: 17-15=2 Moving to Node #0,1 Current State: 90:[81, 88, 49], Operations: ['64-15=49'] Exploring Operation: 81+49=130, Resulting Numbers: [88, 130] Generated Node #0,1,0: 90:[88, 130] Operation: 81+49=130 Exploring Operation: 88-49=39, Resulting Numbers: [81, 39] Generated Node #0,1,1: 90:[81, 39] Operation: 88-49=39 Exploring Operation: 81-49=32, Resulting Numbers: [88, 32] Generated Node #0,1,2: 90:[88, 32] Operation: 81-49=32 Exploring Operation: 88-81=7, Resulting Numbers: [49, 7] Generated Node #0,1,3: 90:[49, 7] Operation: 88-81=7 Moving to Node #0,0 Current State: 90:[81, 15, 24], Operations: ['88-64=24'] Exploring Operation: 81-24=57, Resulting Numbers: [15, 57] Generated Node #0,0,0: 90:[15, 57] Operation: 81-24=57 Exploring Operation: 24-15=9, Resulting Numbers: [81, 9] Generated Node #0,0,1: 90:[81, 9] Operation: 24-15=9 Exploring Operation: 81+15=96, Resulting Numbers: [24, 96] Generated Node #0,0,2: 90:[24, 96] Operation: 81+15=96 Exploring Operation: 81+24=105, Resulting Numbers: [15, 105] Generated Node #0,0,3: 90:[15, 105] Operation: 81+24=105 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 90:[81, 9], Operations: ['88-64=24', '24-15=9'] Exploring Operation: 81*9=729, Resulting Numbers: [729] 729,90 unequal: No Solution Exploring Operation: 81+9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[81, 64, 15, 88], Operations: [] Exploring Operation: 88-64=24, Resulting Numbers: [81, 15, 24] Generated Node #0,0: 90:[81, 15, 24] Operation: 88-64=24 Moving to Node #0,0 Current State: 90:[81, 15, 24], Operations: ['88-64=24'] Exploring Operation: 24-15=9, Resulting Numbers: [81, 9] Generated Node #0,0,1: 90:[81, 9] Operation: 24-15=9 Moving to Node #0,0,1 Current State: 90:[81, 9], Operations: ['88-64=24', '24-15=9'] Exploring Operation: 81+9=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_4
sum_heuristic
[ 54, 29, 33, 21 ]
13
[ "54-29=25", "33-21=12", "25-12=13" ]
Current State: 13:[54, 29, 33, 21], Operations: [] Exploring Operation: 54-29=25, Resulting Numbers: [33, 21, 25] Generated Node #2: [33, 21, 25] from Operation: 54-29=25 Current State: 13:[33, 21, 25], Operations: ['54-29=25'] Exploring Operation: 33-21=12, Resulting Numbers: [25, 12] Generated Node #3: [25, 12] from Operation: 33-21=12 Current State: 13:[25, 12], Operations: ['54-29=25', '33-21=12'] Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[54, 29, 33, 21], Operations: [] Exploring Operation: 54-29=25, Resulting Numbers: [33, 21, 25] Generated Node #0,0: 13:[33, 21, 25] Operation: 54-29=25 Exploring Operation: 54-21=33, Resulting Numbers: [29, 33, 33] Generated Node #0,1: 13:[29, 33, 33] Operation: 54-21=33 Exploring Operation: 54-33=21, Resulting Numbers: [29, 21, 21] Generated Node #0,2: 13:[29, 21, 21] Operation: 54-33=21 Start Sub Search at level 1: Moving to Node #0,2 Current State: 13:[29, 21, 21], Operations: ['54-33=21'] Exploring Operation: 29-21=8, Resulting Numbers: [21, 8] Generated Node #0,2,0: 13:[21, 8] Operation: 29-21=8 Exploring Operation: 29-21=8, Resulting Numbers: [21, 8] Generated Node #0,2,1: 13:[21, 8] Operation: 29-21=8 Exploring Operation: 21/21=1, Resulting Numbers: [29, 1] Generated Node #0,2,2: 13:[29, 1] Operation: 21/21=1 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 13:[21, 8], Operations: ['54-33=21', '29-21=8'] Exploring Operation: 21*8=168, Resulting Numbers: [168] 168,13 unequal: No Solution Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[54, 29, 33, 21], Operations: [] Exploring Operation: 54-33=21, Resulting Numbers: [29, 21, 21] Generated Node #0,2: 13:[29, 21, 21] Operation: 54-33=21 Moving to Node #0,2 Current State: 13:[29, 21, 21], Operations: ['54-33=21'] Exploring Operation: 29-21=8, Resulting Numbers: [21, 8] Generated Node #0,2,0: 13:[21, 8] Operation: 29-21=8 Moving to Node #0,2,0 Current State: 13:[21, 8], Operations: ['54-33=21', '29-21=8'] Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 67, 32, 24, 69 ]
80
[ "67-32=35", "69-24=45", "35+45=80" ]
Current State: 80:[67, 32, 24, 69], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [24, 69, 35] Generated Node #2: [24, 69, 35] from Operation: 67-32=35 Current State: 80:[24, 69, 35], Operations: ['67-32=35'] Exploring Operation: 69-24=45, Resulting Numbers: [35, 45] Generated Node #3: [35, 45] from Operation: 69-24=45 Current State: 80:[35, 45], Operations: ['67-32=35', '69-24=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[67, 32, 24, 69], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [24, 69, 35] Generated Node #0,0: 80:[24, 69, 35] Operation: 67-32=35 Exploring Operation: 69-67=2, Resulting Numbers: [32, 24, 2] Generated Node #0,1: 80:[32, 24, 2] Operation: 69-67=2 Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[32, 24, 2], Operations: ['69-67=2'] Exploring Operation: 32-24=8, Resulting Numbers: [2, 8] Generated Node #0,1,0: 80:[2, 8] Operation: 32-24=8 Exploring Operation: 32/2=16, Resulting Numbers: [24, 16] Generated Node #0,1,1: 80:[24, 16] Operation: 32/2=16 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 80:[2, 8], Operations: ['69-67=2', '32-24=8'] Exploring Operation: 2*8=16, Resulting Numbers: [16] 16,80 unequal: No Solution Exploring Operation: 2+8=10, Resulting Numbers: [10] 10,80 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: 80:[24, 16], Operations: ['69-67=2', '32/2=16'] Exploring Operation: 24-16=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 24+16=40, Resulting Numbers: [40] 40,80 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: 80:[24, 69, 35], Operations: ['67-32=35'] Exploring Operation: 69-35=34, Resulting Numbers: [24, 34] Generated Node #0,0,0: 80:[24, 34] Operation: 69-35=34 Exploring Operation: 69-24=45, Resulting Numbers: [35, 45] Generated Node #0,0,1: 80:[35, 45] Operation: 69-24=45 Moving to Node #0,0,0 Current State: 80:[24, 34], Operations: ['67-32=35', '69-35=34'] Exploring Operation: 34-24=10, Resulting Numbers: [10] 10,80 unequal: No Solution Exploring Operation: 24+34=58, Resulting Numbers: [58] 58,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[35, 45], Operations: ['67-32=35', '69-24=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[67, 32, 24, 69], Operations: [] Exploring Operation: 67-32=35, Resulting Numbers: [24, 69, 35] Generated Node #0,0: 80:[24, 69, 35] Operation: 67-32=35 Moving to Node #0,0 Current State: 80:[24, 69, 35], Operations: ['67-32=35'] Exploring Operation: 69-24=45, Resulting Numbers: [35, 45] Generated Node #0,0,1: 80:[35, 45] Operation: 69-24=45 Moving to Node #0,0,1 Current State: 80:[35, 45], Operations: ['67-32=35', '69-24=45'] Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_2
mult_heuristic
[ 11, 48, 28, 8 ]
88
[ "28-11=17", "8*17=136", "136-48=88" ]
Current State: 88:[11, 48, 28, 8], Operations: [] Exploring Operation: 28-11=17, Resulting Numbers: [48, 8, 17] Generated Node #2: [48, 8, 17] from Operation: 28-11=17 Current State: 88:[48, 8, 17], Operations: ['28-11=17'] Exploring Operation: 8*17=136, Resulting Numbers: [48, 136] Generated Node #3: [48, 136] from Operation: 8*17=136 Current State: 88:[48, 136], Operations: ['28-11=17', '8*17=136'] Exploring Operation: 136-48=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[11, 48, 28, 8], Operations: [] Exploring Operation: 48-28=20, Resulting Numbers: [11, 8, 20] Generated Node #0,0: 88:[11, 8, 20] Operation: 48-28=20 Exploring Operation: 48/8=6, Resulting Numbers: [11, 28, 6] Generated Node #0,1: 88:[11, 28, 6] Operation: 48/8=6 Exploring Operation: 28-8=20, Resulting Numbers: [11, 48, 20] Generated Node #0,2: 88:[11, 48, 20] Operation: 28-8=20 Exploring Operation: 11+28=39, Resulting Numbers: [48, 8, 39] Generated Node #0,3: 88:[48, 8, 39] Operation: 11+28=39 Moving to Node #0,0 Current State: 88:[11, 8, 20], Operations: ['48-28=20'] Exploring Operation: 11*8=88, Resulting Numbers: [20, 88] Generated Node #0,0,0: 88:[20, 88] Operation: 11*8=88 Exploring Operation: 20-11=9, Resulting Numbers: [8, 9] Generated Node #0,0,1: 88:[8, 9] Operation: 20-11=9 Exploring Operation: 11-8=3, Resulting Numbers: [20, 3] Generated Node #0,0,2: 88:[20, 3] Operation: 11-8=3 Exploring Operation: 20-8=12, Resulting Numbers: [11, 12] Generated Node #0,0,3: 88:[11, 12] Operation: 20-8=12 Moving to Node #0,2 Current State: 88:[11, 48, 20], Operations: ['28-8=20'] Exploring Operation: 20-11=9, Resulting Numbers: [48, 9] Generated Node #0,2,0: 88:[48, 9] Operation: 20-11=9 Exploring Operation: 48-11=37, Resulting Numbers: [20, 37] Generated Node #0,2,1: 88:[20, 37] Operation: 48-11=37 Exploring Operation: 48-20=28, Resulting Numbers: [11, 28] Generated Node #0,2,2: 88:[11, 28] Operation: 48-20=28 Exploring Operation: 11+20=31, Resulting Numbers: [48, 31] Generated Node #0,2,3: 88:[48, 31] Operation: 11+20=31 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 88:[48, 9], Operations: ['28-8=20', '20-11=9'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,88 unequal: No Solution Exploring Operation: 48*9=432, Resulting Numbers: [432] 432,88 unequal: No Solution Exploring Operation: 48+9=57, Resulting Numbers: [57] 57,88 unequal: No Solution No 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: 88:[11, 28], Operations: ['28-8=20', '48-20=28'] Exploring Operation: 11*28=308, Resulting Numbers: [308] 308,88 unequal: No Solution Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,88 unequal: No Solution No 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: 88:[20, 37], Operations: ['28-8=20', '48-11=37'] Exploring Operation: 20*37=740, Resulting Numbers: [740] 740,88 unequal: No Solution Exploring Operation: 37-20=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 20+37=57, Resulting Numbers: [57] 57,88 unequal: No Solution No 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: 88:[48, 31], Operations: ['28-8=20', '11+20=31'] Exploring Operation: 48+31=79, Resulting Numbers: [79] 79,88 unequal: No Solution Exploring Operation: 48-31=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 48*31=1488, Resulting Numbers: [1488] 1488,88 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: 88:[11, 28, 6], Operations: ['48/8=6'] Exploring Operation: 28-11=17, Resulting Numbers: [6, 17] Generated Node #0,1,0: 88:[6, 17] Operation: 28-11=17 Exploring Operation: 11+28=39, Resulting Numbers: [6, 39] Generated Node #0,1,1: 88:[6, 39] Operation: 11+28=39 Exploring Operation: 11-6=5, Resulting Numbers: [28, 5] Generated Node #0,1,2: 88:[28, 5] Operation: 11-6=5 Exploring Operation: 28-6=22, Resulting Numbers: [11, 22] Generated Node #0,1,3: 88:[11, 22] Operation: 28-6=22 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 88:[11, 22], Operations: ['48/8=6', '28-6=22'] Exploring Operation: 11*22=242, Resulting Numbers: [242] 242,88 unequal: No Solution Exploring Operation: 22/11=2, Resulting Numbers: [2] 2,88 unequal: No Solution Exploring Operation: 22-11=11, Resulting Numbers: [11] 11,88 unequal: No Solution Exploring Operation: 11+22=33, Resulting Numbers: [33] 33,88 unequal: No Solution No 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: 88:[6, 17], Operations: ['48/8=6', '28-11=17'] Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,88 unequal: No Solution Exploring Operation: 6*17=102, Resulting Numbers: [102] 102,88 unequal: No Solution Exploring Operation: 6+17=23, Resulting Numbers: [23] 23,88 unequal: No Solution No 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: 88:[6, 39], Operations: ['48/8=6', '11+28=39'] Exploring Operation: 6*39=234, Resulting Numbers: [234] 234,88 unequal: No Solution Exploring Operation: 39-6=33, Resulting Numbers: [33] 33,88 unequal: No Solution Exploring Operation: 6+39=45, Resulting Numbers: [45] 45,88 unequal: No Solution No 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: 88:[28, 5], Operations: ['48/8=6', '11-6=5'] Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,88 unequal: No Solution Exploring Operation: 28*5=140, Resulting Numbers: [140] 140,88 unequal: No Solution Exploring Operation: 28-5=23, Resulting Numbers: [23] 23,88 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: 88:[48, 8, 39], Operations: ['11+28=39'] Exploring Operation: 48/8=6, Resulting Numbers: [39, 6] Generated Node #0,3,0: 88:[39, 6] Operation: 48/8=6 Exploring Operation: 48+39=87, Resulting Numbers: [8, 87] Generated Node #0,3,1: 88:[8, 87] Operation: 48+39=87 Exploring Operation: 48-39=9, Resulting Numbers: [8, 9] Generated Node #0,3,2: 88:[8, 9] Operation: 48-39=9 Exploring Operation: 8+39=47, Resulting Numbers: [48, 47] Generated Node #0,3,3: 88:[48, 47] Operation: 8+39=47 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 88:[8, 87], Operations: ['11+28=39', '48+39=87'] Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,88 unequal: No Solution Exploring Operation: 8+87=95, Resulting Numbers: [95] 95,88 unequal: No Solution Exploring Operation: 8*87=696, Resulting Numbers: [696] 696,88 unequal: No Solution No 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: 88:[8, 9], Operations: ['11+28=39', '48-39=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,88 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,88 unequal: No Solution Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,88 unequal: No Solution No 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: 88:[39, 6], Operations: ['11+28=39', '48/8=6'] Exploring Operation: 39+6=45, Resulting Numbers: [45] 45,88 unequal: No Solution Exploring Operation: 39-6=33, Resulting Numbers: [33] 33,88 unequal: No Solution Exploring Operation: 39*6=234, Resulting Numbers: [234] 234,88 unequal: No Solution No 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: 88:[48, 47], Operations: ['11+28=39', '8+39=47'] Exploring Operation: 48-47=1, Resulting Numbers: [1] 1,88 unequal: No Solution Exploring Operation: 48*47=2256, Resulting Numbers: [2256] 2256,88 unequal: No Solution Exploring Operation: 48+47=95, Resulting Numbers: [95] 95,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,1 Current State: 88:[8, 9], Operations: ['48-28=20', '20-11=9'] Exploring Operation: 8*9=72, Resulting Numbers: [72] 72,88 unequal: No Solution Exploring Operation: 8+9=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 9-8=1, Resulting Numbers: [1] 1,88 unequal: No Solution Moving to Node #0,0,3 Current State: 88:[11, 12], Operations: ['48-28=20', '20-8=12'] Exploring Operation: 12-11=1, Resulting Numbers: [1] 1,88 unequal: No Solution Exploring Operation: 11+12=23, Resulting Numbers: [23] 23,88 unequal: No Solution Exploring Operation: 11*12=132, Resulting Numbers: [132] 132,88 unequal: No Solution Moving to Node #0,0,0 Current State: 88:[20, 88], Operations: ['48-28=20', '11*8=88'] Exploring Operation: 88-20=68, Resulting Numbers: [68] 68,88 unequal: No Solution Exploring Operation: 20*88=1760, Resulting Numbers: [1760] 1760,88 unequal: No Solution Exploring Operation: 20+88=108, Resulting Numbers: [108] 108,88 unequal: No Solution Moving to Node #0,0,2 Current State: 88:[20, 3], Operations: ['48-28=20', '11-8=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,88 unequal: No Solution Exploring Operation: 20-3=17, Resulting Numbers: [17] 17,88 unequal: No Solution Exploring Operation: 20+3=23, Resulting Numbers: [23] 23,88 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 95, 85, 17, 14 ]
77
[ "95+17=112", "112/14=8", "85-8=77" ]
Current State: 77:[95, 85, 17, 14], Operations: [] Exploring Operation: 95+17=112, Resulting Numbers: [85, 14, 112] Generated Node #2: [85, 14, 112] from Operation: 95+17=112 Current State: 77:[85, 14, 112], Operations: ['95+17=112'] Exploring Operation: 112/14=8, Resulting Numbers: [85, 8] Generated Node #3: [85, 8] from Operation: 112/14=8 Current State: 77:[85, 8], Operations: ['95+17=112', '112/14=8'] Exploring Operation: 85-8=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[95, 85, 17, 14], Operations: [] Exploring Operation: 85/17=5, Resulting Numbers: [95, 14, 5] Generated Node #0,0: 77:[95, 14, 5] Operation: 85/17=5 Exploring Operation: 95-14=81, Resulting Numbers: [85, 17, 81] Generated Node #0,1: 77:[85, 17, 81] Operation: 95-14=81 Exploring Operation: 95-85=10, Resulting Numbers: [17, 14, 10] Generated Node #0,2: 77:[17, 14, 10] Operation: 95-85=10 Exploring Operation: 95-17=78, Resulting Numbers: [85, 14, 78] Generated Node #0,3: 77:[85, 14, 78] Operation: 95-17=78 Start Sub Search at level 1: Moving to Node #0,2 Current State: 77:[17, 14, 10], Operations: ['95-85=10'] Exploring Operation: 14-10=4, Resulting Numbers: [17, 4] Generated Node #0,2,0: 77:[17, 4] Operation: 14-10=4 Exploring Operation: 17-14=3, Resulting Numbers: [10, 3] Generated Node #0,2,1: 77:[10, 3] Operation: 17-14=3 Exploring Operation: 17+10=27, Resulting Numbers: [14, 27] Generated Node #0,2,2: 77:[14, 27] Operation: 17+10=27 Exploring Operation: 17-10=7, Resulting Numbers: [14, 7] Generated Node #0,2,3: 77:[14, 7] Operation: 17-10=7 Moving to Node #0,2,3 Current State: 77:[14, 7], Operations: ['95-85=10', '17-10=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,77 unequal: No Solution Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,77 unequal: No Solution Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,77 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,77 unequal: No Solution Moving to Node #0,2,1 Current State: 77:[10, 3], Operations: ['95-85=10', '17-14=3'] Exploring Operation: 10*3=30, Resulting Numbers: [30] 30,77 unequal: No Solution Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 10-3=7, Resulting Numbers: [7] 7,77 unequal: No Solution Moving to Node #0,2,0 Current State: 77:[17, 4], Operations: ['95-85=10', '14-10=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,77 unequal: No Solution Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,77 unequal: No Solution Moving to Node #0,2,2 Current State: 77:[14, 27], Operations: ['95-85=10', '17+10=27'] Exploring Operation: 14*27=378, Resulting Numbers: [378] 378,77 unequal: No Solution Exploring Operation: 14+27=41, Resulting Numbers: [41] 41,77 unequal: No Solution Exploring Operation: 27-14=13, Resulting Numbers: [13] 13,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 77:[85, 14, 78], Operations: ['95-17=78'] Exploring Operation: 85-14=71, Resulting Numbers: [78, 71] Generated Node #0,3,0: 77:[78, 71] Operation: 85-14=71 Exploring Operation: 85+14=99, Resulting Numbers: [78, 99] Generated Node #0,3,1: 77:[78, 99] Operation: 85+14=99 Exploring Operation: 78-14=64, Resulting Numbers: [85, 64] Generated Node #0,3,2: 77:[85, 64] Operation: 78-14=64 Exploring Operation: 85-78=7, Resulting Numbers: [14, 7] Generated Node #0,3,3: 77:[14, 7] Operation: 85-78=7 Moving to Node #0,3,3 Current State: 77:[14, 7], Operations: ['95-17=78', '85-78=7'] Exploring Operation: 14*7=98, Resulting Numbers: [98] 98,77 unequal: No Solution Exploring Operation: 14+7=21, Resulting Numbers: [21] 21,77 unequal: No Solution Exploring Operation: 14-7=7, Resulting Numbers: [7] 7,77 unequal: No Solution Exploring Operation: 14/7=2, Resulting Numbers: [2] 2,77 unequal: No Solution Moving to Node #0,3,0 Current State: 77:[78, 71], Operations: ['95-17=78', '85-14=71'] Exploring Operation: 78*71=5538, Resulting Numbers: [5538] 5538,77 unequal: No Solution Exploring Operation: 78+71=149, Resulting Numbers: [149] 149,77 unequal: No Solution Exploring Operation: 78-71=7, Resulting Numbers: [7] 7,77 unequal: No Solution Moving to Node #0,3,2 Current State: 77:[85, 64], Operations: ['95-17=78', '78-14=64'] Exploring Operation: 85*64=5440, Resulting Numbers: [5440] 5440,77 unequal: No Solution Exploring Operation: 85-64=21, Resulting Numbers: [21] 21,77 unequal: No Solution Exploring Operation: 85+64=149, Resulting Numbers: [149] 149,77 unequal: No Solution Moving to Node #0,3,1 Current State: 77:[78, 99], Operations: ['95-17=78', '85+14=99'] Exploring Operation: 78+99=177, Resulting Numbers: [177] 177,77 unequal: No Solution Exploring Operation: 99-78=21, Resulting Numbers: [21] 21,77 unequal: No Solution Exploring Operation: 78*99=7722, Resulting Numbers: [7722] 7722,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 77:[85, 17, 81], Operations: ['95-14=81'] Exploring Operation: 85-81=4, Resulting Numbers: [17, 4] Generated Node #0,1,0: 77:[17, 4] Operation: 85-81=4 Exploring Operation: 85-17=68, Resulting Numbers: [81, 68] Generated Node #0,1,1: 77:[81, 68] Operation: 85-17=68 Exploring Operation: 85/17=5, Resulting Numbers: [81, 5] Generated Node #0,1,2: 77:[81, 5] Operation: 85/17=5 Exploring Operation: 81-17=64, Resulting Numbers: [85, 64] Generated Node #0,1,3: 77:[85, 64] Operation: 81-17=64 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 77:[81, 5], Operations: ['95-14=81', '85/17=5'] Exploring Operation: 81*5=405, Resulting Numbers: [405] 405,77 unequal: No Solution Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,77 unequal: No Solution Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 77:[17, 4], Operations: ['95-14=81', '85-81=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,77 unequal: No Solution Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 77:[81, 68], Operations: ['95-14=81', '85-17=68'] Exploring Operation: 81-68=13, Resulting Numbers: [13] 13,77 unequal: No Solution Exploring Operation: 81*68=5508, Resulting Numbers: [5508] 5508,77 unequal: No Solution Exploring Operation: 81+68=149, Resulting Numbers: [149] 149,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 77:[85, 64], Operations: ['95-14=81', '81-17=64'] Exploring Operation: 85+64=149, Resulting Numbers: [149] 149,77 unequal: No Solution Exploring Operation: 85-64=21, Resulting Numbers: [21] 21,77 unequal: No Solution Exploring Operation: 85*64=5440, Resulting Numbers: [5440] 5440,77 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 77:[95, 14, 5], Operations: ['85/17=5'] Exploring Operation: 14-5=9, Resulting Numbers: [95, 9] Generated Node #0,0,0: 77:[95, 9] Operation: 14-5=9 Exploring Operation: 95/5=19, Resulting Numbers: [14, 19] Generated Node #0,0,1: 77:[14, 19] Operation: 95/5=19 Exploring Operation: 95-5=90, Resulting Numbers: [14, 90] Generated Node #0,0,2: 77:[14, 90] Operation: 95-5=90 Exploring Operation: 95-14=81, Resulting Numbers: [5, 81] Generated Node #0,0,3: 77:[5, 81] Operation: 95-14=81 Moving to Node #0,0,3 Current State: 77:[5, 81], Operations: ['85/17=5', '95-14=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,77 unequal: No Solution Exploring Operation: 5*81=405, Resulting Numbers: [405] 405,77 unequal: No Solution Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,77 unequal: No Solution Moving to Node #0,0,1 Current State: 77:[14, 19], Operations: ['85/17=5', '95/5=19'] Exploring Operation: 14*19=266, Resulting Numbers: [266] 266,77 unequal: No Solution Exploring Operation: 14+19=33, Resulting Numbers: [33] 33,77 unequal: No Solution Exploring Operation: 19-14=5, Resulting Numbers: [5] 5,77 unequal: No Solution Moving to Node #0,0,2 Current State: 77:[14, 90], Operations: ['85/17=5', '95-5=90'] Exploring Operation: 14+90=104, Resulting Numbers: [104] 104,77 unequal: No Solution Exploring Operation: 14*90=1260, Resulting Numbers: [1260] 1260,77 unequal: No Solution Exploring Operation: 90-14=76, Resulting Numbers: [76] 76,77 unequal: No Solution Moving to Node #0,0,0 Current State: 77:[95, 9], Operations: ['85/17=5', '14-5=9'] Exploring Operation: 95*9=855, Resulting Numbers: [855] 855,77 unequal: No Solution Exploring Operation: 95+9=104, Resulting Numbers: [104] 104,77 unequal: No Solution Exploring Operation: 95-9=86, Resulting Numbers: [86] 86,77 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
[ 42, 47, 60, 54 ]
66
[ "47-42=5", "60/5=12", "54+12=66" ]
Current State: 66:[42, 47, 60, 54], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [60, 54, 5] Generated Node #2: [60, 54, 5] from Operation: 47-42=5 Current State: 66:[60, 54, 5], Operations: ['47-42=5'] Exploring Operation: 60/5=12, Resulting Numbers: [54, 12] Generated Node #3: [54, 12] from Operation: 60/5=12 Current State: 66:[54, 12], Operations: ['47-42=5', '60/5=12'] Exploring Operation: 54+12=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[42, 47, 60, 54], Operations: [] Exploring Operation: 54-42=12, Resulting Numbers: [47, 60, 12] Generated Node #0,0: 66:[47, 60, 12] Operation: 54-42=12 Exploring Operation: 47-42=5, Resulting Numbers: [60, 54, 5] Generated Node #0,1: 66:[60, 54, 5] Operation: 47-42=5 Exploring Operation: 54-47=7, Resulting Numbers: [42, 60, 7] Generated Node #0,2: 66:[42, 60, 7] Operation: 54-47=7 Start Sub Search at level 1: Moving to Node #0,2 Current State: 66:[42, 60, 7], Operations: ['54-47=7'] Exploring Operation: 60-42=18, Resulting Numbers: [7, 18] Generated Node #0,2,0: 66:[7, 18] Operation: 60-42=18 Exploring Operation: 42/7=6, Resulting Numbers: [60, 6] Generated Node #0,2,1: 66:[60, 6] Operation: 42/7=6 Exploring Operation: 42-7=35, Resulting Numbers: [60, 35] Generated Node #0,2,2: 66:[60, 35] Operation: 42-7=35 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 66:[7, 18], Operations: ['54-47=7', '60-42=18'] Exploring Operation: 7*18=126, Resulting Numbers: [126] 126,66 unequal: No Solution Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,66 unequal: No Solution Exploring Operation: 7+18=25, Resulting Numbers: [25] 25,66 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: 66:[60, 6], Operations: ['54-47=7', '42/7=6'] Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,66 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,66 unequal: No Solution Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[42, 47, 60, 54], Operations: [] Exploring Operation: 54-47=7, Resulting Numbers: [42, 60, 7] Generated Node #0,2: 66:[42, 60, 7] Operation: 54-47=7 Moving to Node #0,2 Current State: 66:[42, 60, 7], Operations: ['54-47=7'] Exploring Operation: 42/7=6, Resulting Numbers: [60, 6] Generated Node #0,2,1: 66:[60, 6] Operation: 42/7=6 Moving to Node #0,2,1 Current State: 66:[60, 6], Operations: ['54-47=7', '42/7=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_3
sum_heuristic
[ 32, 90, 20, 88 ]
96
[ "32+88=120", "120/20=6", "90+6=96" ]
Current State: 96:[32, 90, 20, 88], Operations: [] Exploring Operation: 32+88=120, Resulting Numbers: [90, 20, 120] Generated Node #2: [90, 20, 120] from Operation: 32+88=120 Current State: 96:[90, 20, 120], Operations: ['32+88=120'] Exploring Operation: 120/20=6, Resulting Numbers: [90, 6] Generated Node #3: [90, 6] from Operation: 120/20=6 Current State: 96:[90, 6], Operations: ['32+88=120', '120/20=6'] Exploring Operation: 90+6=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[32, 90, 20, 88], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [32, 20, 2] Generated Node #0,0: 96:[32, 20, 2] Operation: 90-88=2 Exploring Operation: 32-20=12, Resulting Numbers: [90, 88, 12] Generated Node #0,1: 96:[90, 88, 12] Operation: 32-20=12 Exploring Operation: 32+20=52, Resulting Numbers: [90, 88, 52] Generated Node #0,2: 96:[90, 88, 52] Operation: 32+20=52 Moving to Node #0,0 Current State: 96:[32, 20, 2], Operations: ['90-88=2'] Exploring Operation: 20-2=18, Resulting Numbers: [32, 18] Generated Node #0,0,0: 96:[32, 18] Operation: 20-2=18 Exploring Operation: 20+2=22, Resulting Numbers: [32, 22] Generated Node #0,0,1: 96:[32, 22] Operation: 20+2=22 Exploring Operation: 32-20=12, Resulting Numbers: [2, 12] Generated Node #0,0,2: 96:[2, 12] Operation: 32-20=12 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 96:[2, 12], Operations: ['90-88=2', '32-20=12'] Exploring Operation: 2+12=14, Resulting Numbers: [14] 14,96 unequal: No Solution Exploring Operation: 2*12=24, Resulting Numbers: [24] 24,96 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,96 unequal: No Solution No 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: 96:[32, 18], Operations: ['90-88=2', '20-2=18'] Exploring Operation: 32*18=576, Resulting Numbers: [576] 576,96 unequal: No Solution Exploring Operation: 32-18=14, Resulting Numbers: [14] 14,96 unequal: No Solution Exploring Operation: 32+18=50, Resulting Numbers: [50] 50,96 unequal: No Solution No 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: 96:[32, 22], Operations: ['90-88=2', '20+2=22'] Exploring Operation: 32*22=704, Resulting Numbers: [704] 704,96 unequal: No Solution Exploring Operation: 32-22=10, Resulting Numbers: [10] 10,96 unequal: No Solution Exploring Operation: 32+22=54, Resulting Numbers: [54] 54,96 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: 96:[90, 88, 12], Operations: ['32-20=12'] Exploring Operation: 90+12=102, Resulting Numbers: [88, 102] Generated Node #0,1,0: 96:[88, 102] Operation: 90+12=102 Exploring Operation: 90-88=2, Resulting Numbers: [12, 2] Generated Node #0,1,1: 96:[12, 2] Operation: 90-88=2 Exploring Operation: 88+12=100, Resulting Numbers: [90, 100] Generated Node #0,1,2: 96:[90, 100] Operation: 88+12=100 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 96:[12, 2], Operations: ['32-20=12', '90-88=2'] Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,96 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,96 unequal: No Solution Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,96 unequal: No Solution No 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: 96:[90, 100], Operations: ['32-20=12', '88+12=100'] Exploring Operation: 90*100=9000, Resulting Numbers: [9000] 9000,96 unequal: No Solution Exploring Operation: 90+100=190, Resulting Numbers: [190] 190,96 unequal: No Solution Exploring Operation: 100-90=10, Resulting Numbers: [10] 10,96 unequal: No Solution No 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: 96:[88, 102], Operations: ['32-20=12', '90+12=102'] Exploring Operation: 88+102=190, Resulting Numbers: [190] 190,96 unequal: No Solution Exploring Operation: 88*102=8976, Resulting Numbers: [8976] 8976,96 unequal: No Solution Exploring Operation: 102-88=14, Resulting Numbers: [14] 14,96 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: 96:[90, 88, 52], Operations: ['32+20=52'] Exploring Operation: 88-52=36, Resulting Numbers: [90, 36] Generated Node #0,2,0: 96:[90, 36] Operation: 88-52=36 Exploring Operation: 90-88=2, Resulting Numbers: [52, 2] Generated Node #0,2,1: 96:[52, 2] Operation: 90-88=2 Exploring Operation: 90-52=38, Resulting Numbers: [88, 38] Generated Node #0,2,2: 96:[88, 38] Operation: 90-52=38 Moving to Node #0,2,1 Current State: 96:[52, 2], Operations: ['32+20=52', '90-88=2'] Exploring Operation: 52-2=50, Resulting Numbers: [50] 50,96 unequal: No Solution Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,96 unequal: No Solution Exploring Operation: 52+2=54, Resulting Numbers: [54] 54,96 unequal: No Solution Moving to Node #0,2,0 Current State: 96:[90, 36], Operations: ['32+20=52', '88-52=36'] Exploring Operation: 90*36=3240, Resulting Numbers: [3240] 3240,96 unequal: No Solution Exploring Operation: 90-36=54, Resulting Numbers: [54] 54,96 unequal: No Solution Exploring Operation: 90+36=126, Resulting Numbers: [126] 126,96 unequal: No Solution Moving to Node #0,2,2 Current State: 96:[88, 38], Operations: ['32+20=52', '90-52=38'] Exploring Operation: 88+38=126, Resulting Numbers: [126] 126,96 unequal: No Solution Exploring Operation: 88*38=3344, Resulting Numbers: [3344] 3344,96 unequal: No Solution Exploring Operation: 88-38=50, Resulting Numbers: [50] 50,96 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 20, 60, 24, 20 ]
16
[ "20+20=40", "24*40=960", "960/60=16" ]
Current State: 16:[20, 60, 24, 20], Operations: [] Exploring Operation: 20+20=40, Resulting Numbers: [60, 24, 40] Generated Node #2: [60, 24, 40] from Operation: 20+20=40 Current State: 16:[60, 24, 40], Operations: ['20+20=40'] Exploring Operation: 24*40=960, Resulting Numbers: [60, 960] Generated Node #3: [60, 960] from Operation: 24*40=960 Current State: 16:[60, 960], Operations: ['20+20=40', '24*40=960'] Exploring Operation: 960/60=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[20, 60, 24, 20], Operations: [] Exploring Operation: 60/20=3, Resulting Numbers: [20, 24, 3] Generated Node #0,0: 16:[20, 24, 3] Operation: 60/20=3 Exploring Operation: 60/20=3, Resulting Numbers: [24, 20, 3] Generated Node #0,1: 16:[24, 20, 3] Operation: 60/20=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 16:[20, 24, 3], Operations: ['60/20=3'] Exploring Operation: 24/3=8, Resulting Numbers: [20, 8] Generated Node #0,0,0: 16:[20, 8] Operation: 24/3=8 Exploring Operation: 24-20=4, Resulting Numbers: [3, 4] Generated Node #0,0,1: 16:[3, 4] Operation: 24-20=4 Moving to Node #0,0,1 Current State: 16:[3, 4], Operations: ['60/20=3', '24-20=4'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,16 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,16 unequal: No Solution Moving to Node #0,0,0 Current State: 16:[20, 8], Operations: ['60/20=3', '24/3=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,16 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,16 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 Current State: 16:[24, 20, 3], Operations: ['60/20=3'] Exploring Operation: 24/3=8, Resulting Numbers: [20, 8] Generated Node #0,1,0: 16:[20, 8] Operation: 24/3=8 Exploring Operation: 24-20=4, Resulting Numbers: [3, 4] Generated Node #0,1,1: 16:[3, 4] Operation: 24-20=4 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 16:[3, 4], Operations: ['60/20=3', '24-20=4'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,16 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,16 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: 16:[20, 8], Operations: ['60/20=3', '24/3=8'] Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,16 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,16 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
[ 45, 65, 72, 99 ]
39
[ "99-72=27", "65*27=1755", "1755/45=39" ]
Current State: 39:[45, 65, 72, 99], Operations: [] Exploring Operation: 99-72=27, Resulting Numbers: [45, 65, 27] Generated Node #2: [45, 65, 27] from Operation: 99-72=27 Current State: 39:[45, 65, 27], Operations: ['99-72=27'] Exploring Operation: 65*27=1755, Resulting Numbers: [45, 1755] Generated Node #3: [45, 1755] from Operation: 65*27=1755 Current State: 39:[45, 1755], Operations: ['99-72=27', '65*27=1755'] Exploring Operation: 1755/45=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[45, 65, 72, 99], Operations: [] Exploring Operation: 99-65=34, Resulting Numbers: [45, 72, 34] Generated Node #0,0: 39:[45, 72, 34] Operation: 99-65=34 Exploring Operation: 72-65=7, Resulting Numbers: [45, 99, 7] Generated Node #0,1: 39:[45, 99, 7] Operation: 72-65=7 Exploring Operation: 99-72=27, Resulting Numbers: [45, 65, 27] Generated Node #0,2: 39:[45, 65, 27] Operation: 99-72=27 Exploring Operation: 99-45=54, Resulting Numbers: [65, 72, 54] Generated Node #0,3: 39:[65, 72, 54] Operation: 99-45=54 Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[45, 72, 34], Operations: ['99-65=34'] Exploring Operation: 45+34=79, Resulting Numbers: [72, 79] Generated Node #0,0,0: 39:[72, 79] Operation: 45+34=79 Exploring Operation: 72-34=38, Resulting Numbers: [45, 38] Generated Node #0,0,1: 39:[45, 38] Operation: 72-34=38 Exploring Operation: 72-45=27, Resulting Numbers: [34, 27] Generated Node #0,0,2: 39:[34, 27] Operation: 72-45=27 Exploring Operation: 45-34=11, Resulting Numbers: [72, 11] Generated Node #0,0,3: 39:[72, 11] Operation: 45-34=11 Moving to Node #0,0,1 Current State: 39:[45, 38], Operations: ['99-65=34', '72-34=38'] Exploring Operation: 45-38=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 45*38=1710, Resulting Numbers: [1710] 1710,39 unequal: No Solution Exploring Operation: 45+38=83, Resulting Numbers: [83] 83,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[34, 27], Operations: ['99-65=34', '72-45=27'] Exploring Operation: 34+27=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 34-27=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 34*27=918, Resulting Numbers: [918] 918,39 unequal: No Solution Moving to Node #0,0,3 Current State: 39:[72, 11], Operations: ['99-65=34', '45-34=11'] Exploring Operation: 72+11=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 72*11=792, Resulting Numbers: [792] 792,39 unequal: No Solution Moving to Node #0,0,0 Current State: 39:[72, 79], Operations: ['99-65=34', '45+34=79'] Exploring Operation: 79-72=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 72*79=5688, Resulting Numbers: [5688] 5688,39 unequal: No Solution Exploring Operation: 72+79=151, Resulting Numbers: [151] 151,39 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 #0,2 Current State: 39:[45, 65, 27], Operations: ['99-72=27'] Exploring Operation: 45-27=18, Resulting Numbers: [65, 18] Generated Node #0,2,0: 39:[65, 18] Operation: 45-27=18 Exploring Operation: 65-27=38, Resulting Numbers: [45, 38] Generated Node #0,2,1: 39:[45, 38] Operation: 65-27=38 Exploring Operation: 65-45=20, Resulting Numbers: [27, 20] Generated Node #0,2,2: 39:[27, 20] Operation: 65-45=20 Exploring Operation: 45+27=72, Resulting Numbers: [65, 72] Generated Node #0,2,3: 39:[65, 72] Operation: 45+27=72 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 39:[45, 38], Operations: ['99-72=27', '65-27=38'] Exploring Operation: 45+38=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 45-38=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 45*38=1710, Resulting Numbers: [1710] 1710,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 39:[27, 20], Operations: ['99-72=27', '65-45=20'] Exploring Operation: 27*20=540, Resulting Numbers: [540] 540,39 unequal: No Solution Exploring Operation: 27+20=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 27-20=7, Resulting Numbers: [7] 7,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 39:[65, 18], Operations: ['99-72=27', '45-27=18'] Exploring Operation: 65*18=1170, Resulting Numbers: [1170] 1170,39 unequal: No Solution Exploring Operation: 65+18=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 65-18=47, Resulting Numbers: [47] 47,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 39:[65, 72], Operations: ['99-72=27', '45+27=72'] Exploring Operation: 65+72=137, Resulting Numbers: [137] 137,39 unequal: No Solution Exploring Operation: 72-65=7, Resulting Numbers: [7] 7,39 unequal: No Solution Exploring Operation: 65*72=4680, Resulting Numbers: [4680] 4680,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 39:[45, 99, 7], Operations: ['72-65=7'] Exploring Operation: 45+7=52, Resulting Numbers: [99, 52] Generated Node #0,1,0: 39:[99, 52] Operation: 45+7=52 Exploring Operation: 99-7=92, Resulting Numbers: [45, 92] Generated Node #0,1,1: 39:[45, 92] Operation: 99-7=92 Exploring Operation: 99-45=54, Resulting Numbers: [7, 54] Generated Node #0,1,2: 39:[7, 54] Operation: 99-45=54 Exploring Operation: 45-7=38, Resulting Numbers: [99, 38] Generated Node #0,1,3: 39:[99, 38] Operation: 45-7=38 Moving to Node #0,1,2 Current State: 39:[7, 54], Operations: ['72-65=7', '99-45=54'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 7+54=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 7*54=378, Resulting Numbers: [378] 378,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[45, 92], Operations: ['72-65=7', '99-7=92'] Exploring Operation: 45*92=4140, Resulting Numbers: [4140] 4140,39 unequal: No Solution Exploring Operation: 45+92=137, Resulting Numbers: [137] 137,39 unequal: No Solution Exploring Operation: 92-45=47, Resulting Numbers: [47] 47,39 unequal: No Solution Moving to Node #0,1,3 Current State: 39:[99, 38], Operations: ['72-65=7', '45-7=38'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 99*38=3762, Resulting Numbers: [3762] 3762,39 unequal: No Solution Exploring Operation: 99+38=137, Resulting Numbers: [137] 137,39 unequal: No Solution Moving to Node #0,1,0 Current State: 39:[99, 52], Operations: ['72-65=7', '45+7=52'] Exploring Operation: 99+52=151, Resulting Numbers: [151] 151,39 unequal: No Solution Exploring Operation: 99-52=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 99*52=5148, Resulting Numbers: [5148] 5148,39 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 #0,3 Current State: 39:[65, 72, 54], Operations: ['99-45=54'] Exploring Operation: 65-54=11, Resulting Numbers: [72, 11] Generated Node #0,3,0: 39:[72, 11] Operation: 65-54=11 Exploring Operation: 72-65=7, Resulting Numbers: [54, 7] Generated Node #0,3,1: 39:[54, 7] Operation: 72-65=7 Exploring Operation: 72-54=18, Resulting Numbers: [65, 18] Generated Node #0,3,2: 39:[65, 18] Operation: 72-54=18 Exploring Operation: 65+72=137, Resulting Numbers: [54, 137] Generated Node #0,3,3: 39:[54, 137] Operation: 65+72=137 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 39:[54, 7], Operations: ['99-45=54', '72-65=7'] Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,39 unequal: No Solution Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,39 unequal: No Solution Exploring Operation: 54*7=378, Resulting Numbers: [378] 378,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 39:[65, 18], Operations: ['99-45=54', '72-54=18'] Exploring Operation: 65+18=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 65*18=1170, Resulting Numbers: [1170] 1170,39 unequal: No Solution Exploring Operation: 65-18=47, Resulting Numbers: [47] 47,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 39:[72, 11], Operations: ['99-45=54', '65-54=11'] Exploring Operation: 72*11=792, Resulting Numbers: [792] 792,39 unequal: No Solution Exploring Operation: 72+11=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 39:[54, 137], Operations: ['99-45=54', '65+72=137'] Exploring Operation: 137-54=83, Resulting Numbers: [83] 83,39 unequal: No Solution Exploring Operation: 54*137=7398, Resulting Numbers: [7398] 7398,39 unequal: No Solution Exploring Operation: 54+137=191, Resulting Numbers: [191] 191,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 56, 18, 34, 42 ]
39
[ "18+34=52", "42*52=2184", "2184/56=39" ]
Current State: 39:[56, 18, 34, 42], Operations: [] Exploring Operation: 18+34=52, Resulting Numbers: [56, 42, 52] Generated Node #2: [56, 42, 52] from Operation: 18+34=52 Current State: 39:[56, 42, 52], Operations: ['18+34=52'] Exploring Operation: 42*52=2184, Resulting Numbers: [56, 2184] Generated Node #3: [56, 2184] from Operation: 42*52=2184 Current State: 39:[56, 2184], Operations: ['18+34=52', '42*52=2184'] Exploring Operation: 2184/56=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[56, 18, 34, 42], Operations: [] Exploring Operation: 56-42=14, Resulting Numbers: [18, 34, 14] Generated Node #0,0: 39:[18, 34, 14] Operation: 56-42=14 Exploring Operation: 34-18=16, Resulting Numbers: [56, 42, 16] Generated Node #0,1: 39:[56, 42, 16] Operation: 34-18=16 Exploring Operation: 56-18=38, Resulting Numbers: [34, 42, 38] Generated Node #0,2: 39:[34, 42, 38] Operation: 56-18=38 Exploring Operation: 56-34=22, Resulting Numbers: [18, 42, 22] Generated Node #0,3: 39:[18, 42, 22] Operation: 56-34=22 Exploring Operation: 42-34=8, Resulting Numbers: [56, 18, 8] Generated Node #0,4: 39:[56, 18, 8] Operation: 42-34=8 Start Sub Search at level 1: Moving to Node #0,2 Current State: 39:[34, 42, 38], Operations: ['56-18=38'] Exploring Operation: 42-38=4, Resulting Numbers: [34, 4] Generated Node #0,2,0: 39:[34, 4] Operation: 42-38=4 Exploring Operation: 34+38=72, Resulting Numbers: [42, 72] Generated Node #0,2,1: 39:[42, 72] Operation: 34+38=72 Exploring Operation: 38-34=4, Resulting Numbers: [42, 4] Generated Node #0,2,2: 39:[42, 4] Operation: 38-34=4 Exploring Operation: 34+42=76, Resulting Numbers: [38, 76] Generated Node #0,2,3: 39:[38, 76] Operation: 34+42=76 Exploring Operation: 42-34=8, Resulting Numbers: [38, 8] Generated Node #0,2,4: 39:[38, 8] Operation: 42-34=8 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 39:[42, 4], Operations: ['56-18=38', '38-34=4'] Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 42*4=168, Resulting Numbers: [168] 168,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 39:[34, 4], Operations: ['56-18=38', '42-38=4'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 34*4=136, Resulting Numbers: [136] 136,39 unequal: No Solution Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 39:[38, 8], Operations: ['56-18=38', '42-34=8'] Exploring Operation: 38*8=304, Resulting Numbers: [304] 304,39 unequal: No Solution Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 38+8=46, Resulting Numbers: [46] 46,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 39:[42, 72], Operations: ['56-18=38', '34+38=72'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,39 unequal: No Solution Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 39:[38, 76], Operations: ['56-18=38', '34+42=76'] Exploring Operation: 76/38=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 76-38=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 38+76=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 38*76=2888, Resulting Numbers: [2888] 2888,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 39:[18, 34, 14], Operations: ['56-42=14'] Exploring Operation: 18+14=32, Resulting Numbers: [34, 32] Generated Node #0,0,0: 39:[34, 32] Operation: 18+14=32 Exploring Operation: 34-18=16, Resulting Numbers: [14, 16] Generated Node #0,0,1: 39:[14, 16] Operation: 34-18=16 Exploring Operation: 18-14=4, Resulting Numbers: [34, 4] Generated Node #0,0,2: 39:[34, 4] Operation: 18-14=4 Exploring Operation: 34-14=20, Resulting Numbers: [18, 20] Generated Node #0,0,3: 39:[18, 20] Operation: 34-14=20 Exploring Operation: 18+34=52, Resulting Numbers: [14, 52] Generated Node #0,0,4: 39:[14, 52] Operation: 18+34=52 Moving to Node #0,0,1 Current State: 39:[14, 16], Operations: ['56-42=14', '34-18=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 14*16=224, Resulting Numbers: [224] 224,39 unequal: No Solution Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,39 unequal: No Solution Moving to Node #0,0,2 Current State: 39:[34, 4], Operations: ['56-42=14', '18-14=4'] Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 34*4=136, Resulting Numbers: [136] 136,39 unequal: No Solution Moving to Node #0,0,0 Current State: 39:[34, 32], Operations: ['56-42=14', '18+14=32'] Exploring Operation: 34+32=66, Resulting Numbers: [66] 66,39 unequal: No Solution Exploring Operation: 34*32=1088, Resulting Numbers: [1088] 1088,39 unequal: No Solution Exploring Operation: 34-32=2, Resulting Numbers: [2] 2,39 unequal: No Solution Moving to Node #0,0,3 Current State: 39:[18, 20], Operations: ['56-42=14', '34-14=20'] Exploring Operation: 18*20=360, Resulting Numbers: [360] 360,39 unequal: No Solution Exploring Operation: 18+20=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 20-18=2, Resulting Numbers: [2] 2,39 unequal: No Solution Moving to Node #0,0,4 Current State: 39:[14, 52], Operations: ['56-42=14', '18+34=52'] Exploring Operation: 14+52=66, Resulting Numbers: [66] 66,39 unequal: No Solution Exploring Operation: 52-14=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 14*52=728, Resulting Numbers: [728] 728,39 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 #0,3 Current State: 39:[18, 42, 22], Operations: ['56-34=22'] Exploring Operation: 42-18=24, Resulting Numbers: [22, 24] Generated Node #0,3,0: 39:[22, 24] Operation: 42-18=24 Exploring Operation: 42-22=20, Resulting Numbers: [18, 20] Generated Node #0,3,1: 39:[18, 20] Operation: 42-22=20 Exploring Operation: 22-18=4, Resulting Numbers: [42, 4] Generated Node #0,3,2: 39:[42, 4] Operation: 22-18=4 Exploring Operation: 18+42=60, Resulting Numbers: [22, 60] Generated Node #0,3,3: 39:[22, 60] Operation: 18+42=60 Exploring Operation: 18+22=40, Resulting Numbers: [42, 40] Generated Node #0,3,4: 39:[42, 40] Operation: 18+22=40 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 39:[42, 4], Operations: ['56-34=22', '22-18=4'] Exploring Operation: 42*4=168, Resulting Numbers: [168] 168,39 unequal: No Solution Exploring Operation: 42+4=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 42-4=38, Resulting Numbers: [38] 38,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 39:[42, 40], Operations: ['56-34=22', '18+22=40'] Exploring Operation: 42*40=1680, Resulting Numbers: [1680] 1680,39 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 39:[18, 20], Operations: ['56-34=22', '42-22=20'] Exploring Operation: 18+20=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 18*20=360, Resulting Numbers: [360] 360,39 unequal: No Solution Exploring Operation: 20-18=2, Resulting Numbers: [2] 2,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 39:[22, 24], Operations: ['56-34=22', '42-18=24'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 22*24=528, Resulting Numbers: [528] 528,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 39:[22, 60], Operations: ['56-34=22', '18+42=60'] Exploring Operation: 22*60=1320, Resulting Numbers: [1320] 1320,39 unequal: No Solution Exploring Operation: 60-22=38, Resulting Numbers: [38] 38,39 unequal: No Solution Exploring Operation: 22+60=82, Resulting Numbers: [82] 82,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 39:[56, 42, 16], Operations: ['34-18=16'] Exploring Operation: 42-16=26, Resulting Numbers: [56, 26] Generated Node #0,1,0: 39:[56, 26] Operation: 42-16=26 Exploring Operation: 56-16=40, Resulting Numbers: [42, 40] Generated Node #0,1,1: 39:[42, 40] Operation: 56-16=40 Exploring Operation: 56-42=14, Resulting Numbers: [16, 14] Generated Node #0,1,2: 39:[16, 14] Operation: 56-42=14 Exploring Operation: 56+16=72, Resulting Numbers: [42, 72] Generated Node #0,1,3: 39:[42, 72] Operation: 56+16=72 Exploring Operation: 42+16=58, Resulting Numbers: [56, 58] Generated Node #0,1,4: 39:[56, 58] Operation: 42+16=58 Moving to Node #0,1,1 Current State: 39:[42, 40], Operations: ['34-18=16', '56-16=40'] Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 42*40=1680, Resulting Numbers: [1680] 1680,39 unequal: No Solution Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,39 unequal: No Solution Moving to Node #0,1,2 Current State: 39:[16, 14], Operations: ['34-18=16', '56-42=14'] Exploring Operation: 16+14=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 16*14=224, Resulting Numbers: [224] 224,39 unequal: No Solution Moving to Node #0,1,0 Current State: 39:[56, 26], Operations: ['34-18=16', '42-16=26'] Exploring Operation: 56+26=82, Resulting Numbers: [82] 82,39 unequal: No Solution Exploring Operation: 56*26=1456, Resulting Numbers: [1456] 1456,39 unequal: No Solution Exploring Operation: 56-26=30, Resulting Numbers: [30] 30,39 unequal: No Solution Moving to Node #0,1,3 Current State: 39:[42, 72], Operations: ['34-18=16', '56+16=72'] Exploring Operation: 72-42=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 42+72=114, Resulting Numbers: [114] 114,39 unequal: No Solution Exploring Operation: 42*72=3024, Resulting Numbers: [3024] 3024,39 unequal: No Solution Moving to Node #0,1,4 Current State: 39:[56, 58], Operations: ['34-18=16', '42+16=58'] Exploring Operation: 58-56=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 56*58=3248, Resulting Numbers: [3248] 3248,39 unequal: No Solution Exploring Operation: 56+58=114, Resulting Numbers: [114] 114,39 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 #0,4 Current State: 39:[56, 18, 8], Operations: ['42-34=8'] Exploring Operation: 56-18=38, Resulting Numbers: [8, 38] Generated Node #0,4,0: 39:[8, 38] Operation: 56-18=38 Exploring Operation: 18-8=10, Resulting Numbers: [56, 10] Generated Node #0,4,1: 39:[56, 10] Operation: 18-8=10 Exploring Operation: 56/8=7, Resulting Numbers: [18, 7] Generated Node #0,4,2: 39:[18, 7] Operation: 56/8=7 Exploring Operation: 56-8=48, Resulting Numbers: [18, 48] Generated Node #0,4,3: 39:[18, 48] Operation: 56-8=48 Exploring Operation: 56+8=64, Resulting Numbers: [18, 64] Generated Node #0,4,4: 39:[18, 64] Operation: 56+8=64 Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 39:[8, 38], Operations: ['42-34=8', '56-18=38'] Exploring Operation: 38-8=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 8+38=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 8*38=304, Resulting Numbers: [304] 304,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 39:[18, 7], Operations: ['42-34=8', '56/8=7'] Exploring Operation: 18*7=126, Resulting Numbers: [126] 126,39 unequal: No Solution Exploring Operation: 18-7=11, Resulting Numbers: [11] 11,39 unequal: No Solution Exploring Operation: 18+7=25, Resulting Numbers: [25] 25,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 39:[18, 48], Operations: ['42-34=8', '56-8=48'] Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,39 unequal: No Solution Exploring Operation: 18*48=864, Resulting Numbers: [864] 864,39 unequal: No Solution Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 39:[56, 10], Operations: ['42-34=8', '18-8=10'] Exploring Operation: 56*10=560, Resulting Numbers: [560] 560,39 unequal: No Solution Exploring Operation: 56+10=66, Resulting Numbers: [66] 66,39 unequal: No Solution Exploring Operation: 56-10=46, Resulting Numbers: [46] 46,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 39:[18, 64], Operations: ['42-34=8', '56+8=64'] Exploring Operation: 64-18=46, Resulting Numbers: [46] 46,39 unequal: No Solution Exploring Operation: 18*64=1152, Resulting Numbers: [1152] 1152,39 unequal: No Solution Exploring Operation: 18+64=82, Resulting Numbers: [82] 82,39 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 44, 84, 21, 3 ]
22
[ "84-44=40", "21-3=18", "40-18=22" ]
Current State: 22:[44, 84, 21, 3], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [21, 3, 40] Generated Node #2: [21, 3, 40] from Operation: 84-44=40 Current State: 22:[21, 3, 40], Operations: ['84-44=40'] Exploring Operation: 21-3=18, Resulting Numbers: [40, 18] Generated Node #3: [40, 18] from Operation: 21-3=18 Current State: 22:[40, 18], Operations: ['84-44=40', '21-3=18'] Exploring Operation: 40-18=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[44, 84, 21, 3], Operations: [] Exploring Operation: 84/3=28, Resulting Numbers: [44, 21, 28] Generated Node #0,0: 22:[44, 21, 28] Operation: 84/3=28 Exploring Operation: 84-44=40, Resulting Numbers: [21, 3, 40] Generated Node #0,1: 22:[21, 3, 40] Operation: 84-44=40 Exploring Operation: 84/21=4, Resulting Numbers: [44, 3, 4] Generated Node #0,2: 22:[44, 3, 4] Operation: 84/21=4 Moving to Node #0,1 Current State: 22:[21, 3, 40], Operations: ['84-44=40'] Exploring Operation: 40-21=19, Resulting Numbers: [3, 19] Generated Node #0,1,0: 22:[3, 19] Operation: 40-21=19 Exploring Operation: 21+3=24, Resulting Numbers: [40, 24] Generated Node #0,1,1: 22:[40, 24] Operation: 21+3=24 Exploring Operation: 40-3=37, Resulting Numbers: [21, 37] Generated Node #0,1,2: 22:[21, 37] Operation: 40-3=37 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 22:[3, 19], Operations: ['84-44=40', '40-21=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Moving to Node #0 Current State: 22:[44, 84, 21, 3], Operations: [] Exploring Operation: 84-44=40, Resulting Numbers: [21, 3, 40] Generated Node #0,1: 22:[21, 3, 40] Operation: 84-44=40 Moving to Node #0,1 Current State: 22:[21, 3, 40], Operations: ['84-44=40'] Exploring Operation: 40-21=19, Resulting Numbers: [3, 19] Generated Node #0,1,0: 22:[3, 19] Operation: 40-21=19 Moving to Node #0,1,0 Current State: 22:[3, 19], Operations: ['84-44=40', '40-21=19'] Exploring Operation: 3+19=22, Resulting Numbers: [22] 22,22 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 45, 67, 69, 21 ]
69
[ "67-45=22", "22-21=1", "69*1=69" ]
Current State: 69:[45, 67, 69, 21], Operations: [] Exploring Operation: 67-45=22, Resulting Numbers: [69, 21, 22] Generated Node #2: [69, 21, 22] from Operation: 67-45=22 Current State: 69:[69, 21, 22], Operations: ['67-45=22'] Exploring Operation: 22-21=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 22-21=1 Current State: 69:[69, 1], Operations: ['67-45=22', '22-21=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[45, 67, 69, 21], Operations: [] Exploring Operation: 67-45=22, Resulting Numbers: [69, 21, 22] Generated Node #0,0: 69:[69, 21, 22] Operation: 67-45=22 Exploring Operation: 45-21=24, Resulting Numbers: [67, 69, 24] Generated Node #0,1: 69:[67, 69, 24] Operation: 45-21=24 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[69, 21, 22], Operations: ['67-45=22'] Exploring Operation: 22-21=1, Resulting Numbers: [69, 1] Generated Node #0,0,0: 69:[69, 1] Operation: 22-21=1 Exploring Operation: 21+22=43, Resulting Numbers: [69, 43] Generated Node #0,0,1: 69:[69, 43] Operation: 21+22=43 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[69, 1], Operations: ['67-45=22', '22-21=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[45, 67, 69, 21], Operations: [] Exploring Operation: 67-45=22, Resulting Numbers: [69, 21, 22] Generated Node #0,0: 69:[69, 21, 22] Operation: 67-45=22 Moving to Node #0,0 Current State: 69:[69, 21, 22], Operations: ['67-45=22'] Exploring Operation: 22-21=1, Resulting Numbers: [69, 1] Generated Node #0,0,0: 69:[69, 1] Operation: 22-21=1 Moving to Node #0,0,0 Current State: 69:[69, 1], Operations: ['67-45=22', '22-21=1'] Exploring Operation: 69*1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 36, 50, 70, 57 ]
99
[ "36+50=86", "70-57=13", "86+13=99" ]
Current State: 99:[36, 50, 70, 57], Operations: [] Exploring Operation: 36+50=86, Resulting Numbers: [70, 57, 86] Generated Node #2: [70, 57, 86] from Operation: 36+50=86 Current State: 99:[70, 57, 86], Operations: ['36+50=86'] Exploring Operation: 70-57=13, Resulting Numbers: [86, 13] Generated Node #3: [86, 13] from Operation: 70-57=13 Current State: 99:[86, 13], Operations: ['36+50=86', '70-57=13'] Exploring Operation: 86+13=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[36, 50, 70, 57], Operations: [] Exploring Operation: 70-50=20, Resulting Numbers: [36, 57, 20] Generated Node #0,0: 99:[36, 57, 20] Operation: 70-50=20 Exploring Operation: 57-50=7, Resulting Numbers: [36, 70, 7] Generated Node #0,1: 99:[36, 70, 7] Operation: 57-50=7 Exploring Operation: 50+57=107, Resulting Numbers: [36, 70, 107] Generated Node #0,2: 99:[36, 70, 107] Operation: 50+57=107 Exploring Operation: 70-57=13, Resulting Numbers: [36, 50, 13] Generated Node #0,3: 99:[36, 50, 13] Operation: 70-57=13 Moving to Node #0,3 Current State: 99:[36, 50, 13], Operations: ['70-57=13'] Exploring Operation: 36-13=23, Resulting Numbers: [50, 23] Generated Node #0,3,0: 99:[50, 23] Operation: 36-13=23 Exploring Operation: 50-36=14, Resulting Numbers: [13, 14] Generated Node #0,3,1: 99:[13, 14] Operation: 50-36=14 Exploring Operation: 50-13=37, Resulting Numbers: [36, 37] Generated Node #0,3,2: 99:[36, 37] Operation: 50-13=37 Exploring Operation: 36+50=86, Resulting Numbers: [13, 86] Generated Node #0,3,3: 99:[13, 86] Operation: 36+50=86 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 99:[13, 14], Operations: ['70-57=13', '50-36=14'] Exploring Operation: 14-13=1, Resulting Numbers: [1] 1,99 unequal: No Solution Exploring Operation: 13+14=27, Resulting Numbers: [27] 27,99 unequal: No Solution Exploring Operation: 13*14=182, Resulting Numbers: [182] 182,99 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 #0,3,2 Current State: 99:[36, 37], Operations: ['70-57=13', '50-13=37'] Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,99 unequal: No Solution Exploring Operation: 36*37=1332, Resulting Numbers: [1332] 1332,99 unequal: No Solution Exploring Operation: 36+37=73, Resulting Numbers: [73] 73,99 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 #0,3,3 Current State: 99:[13, 86], Operations: ['70-57=13', '36+50=86'] Exploring Operation: 86-13=73, Resulting Numbers: [73] 73,99 unequal: No Solution Exploring Operation: 13*86=1118, Resulting Numbers: [1118] 1118,99 unequal: No Solution Exploring Operation: 13+86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[36, 50, 70, 57], Operations: [] Exploring Operation: 70-57=13, Resulting Numbers: [36, 50, 13] Generated Node #0,3: 99:[36, 50, 13] Operation: 70-57=13 Moving to Node #0,3 Current State: 99:[36, 50, 13], Operations: ['70-57=13'] Exploring Operation: 36+50=86, Resulting Numbers: [13, 86] Generated Node #0,3,3: 99:[13, 86] Operation: 36+50=86 Moving to Node #0,3,3 Current State: 99:[13, 86], Operations: ['70-57=13', '36+50=86'] Exploring Operation: 13+86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 1
0.981771
hs_4
mult_heuristic
[ 22, 10, 70, 98 ]
14
[ "22-10=12", "70+98=168", "168/12=14" ]
Current State: 14:[22, 10, 70, 98], Operations: [] Exploring Operation: 22-10=12, Resulting Numbers: [70, 98, 12] Generated Node #2: [70, 98, 12] from Operation: 22-10=12 Current State: 14:[70, 98, 12], Operations: ['22-10=12'] Exploring Operation: 70+98=168, Resulting Numbers: [12, 168] Generated Node #3: [12, 168] from Operation: 70+98=168 Current State: 14:[12, 168], Operations: ['22-10=12', '70+98=168'] Exploring Operation: 168/12=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
Current State: 14:[22, 10, 70, 98], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [22, 98, 7] Generated Node #0,0: 14:[22, 98, 7] Operation: 70/10=7 Exploring Operation: 98-70=28, Resulting Numbers: [22, 10, 28] Generated Node #0,1: 14:[22, 10, 28] Operation: 98-70=28 Exploring Operation: 98-22=76, Resulting Numbers: [10, 70, 76] Generated Node #0,2: 14:[10, 70, 76] Operation: 98-22=76 Exploring Operation: 70-22=48, Resulting Numbers: [10, 98, 48] Generated Node #0,3: 14:[10, 98, 48] Operation: 70-22=48 Exploring Operation: 70-10=60, Resulting Numbers: [22, 98, 60] Generated Node #0,4: 14:[22, 98, 60] Operation: 70-10=60 Start Sub Search at level 1: Moving to Node #0,1 Current State: 14:[22, 10, 28], Operations: ['98-70=28'] Exploring Operation: 10+28=38, Resulting Numbers: [22, 38] Generated Node #0,1,0: 14:[22, 38] Operation: 10+28=38 Exploring Operation: 22+10=32, Resulting Numbers: [28, 32] Generated Node #0,1,1: 14:[28, 32] Operation: 22+10=32 Exploring Operation: 22-10=12, Resulting Numbers: [28, 12] Generated Node #0,1,2: 14:[28, 12] Operation: 22-10=12 Exploring Operation: 28-22=6, Resulting Numbers: [10, 6] Generated Node #0,1,3: 14:[10, 6] Operation: 28-22=6 Exploring Operation: 28-10=18, Resulting Numbers: [22, 18] Generated Node #0,1,4: 14:[22, 18] Operation: 28-10=18 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 14:[10, 6], Operations: ['98-70=28', '28-22=6'] Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,14 unequal: No Solution Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,14 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: 14:[22, 18], Operations: ['98-70=28', '28-10=18'] Exploring Operation: 22*18=396, Resulting Numbers: [396] 396,14 unequal: No Solution Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,14 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: 14:[28, 12], Operations: ['98-70=28', '22-10=12'] Exploring Operation: 28*12=336, Resulting Numbers: [336] 336,14 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,14 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: 14:[22, 38], Operations: ['98-70=28', '10+28=38'] Exploring Operation: 38-22=16, Resulting Numbers: [16] 16,14 unequal: No Solution Exploring Operation: 22+38=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 22*38=836, Resulting Numbers: [836] 836,14 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: 14:[28, 32], Operations: ['98-70=28', '22+10=32'] Exploring Operation: 28*32=896, Resulting Numbers: [896] 896,14 unequal: No Solution Exploring Operation: 32-28=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 28+32=60, Resulting Numbers: [60] 60,14 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: 14:[22, 98, 7], Operations: ['70/10=7'] Exploring Operation: 98-22=76, Resulting Numbers: [7, 76] Generated Node #0,0,0: 14:[7, 76] Operation: 98-22=76 Exploring Operation: 98/7=14, Resulting Numbers: [22, 14] Generated Node #0,0,1: 14:[22, 14] Operation: 98/7=14 Exploring Operation: 22+7=29, Resulting Numbers: [98, 29] Generated Node #0,0,2: 14:[98, 29] Operation: 22+7=29 Exploring Operation: 22-7=15, Resulting Numbers: [98, 15] Generated Node #0,0,3: 14:[98, 15] Operation: 22-7=15 Exploring Operation: 98-7=91, Resulting Numbers: [22, 91] Generated Node #0,0,4: 14:[22, 91] Operation: 98-7=91 Moving to Node #0,0,1 Current State: 14:[22, 14], Operations: ['70/10=7', '98/7=14'] Exploring Operation: 22+14=36, Resulting Numbers: [36] 36,14 unequal: No Solution Exploring Operation: 22*14=308, Resulting Numbers: [308] 308,14 unequal: No Solution Exploring Operation: 22-14=8, Resulting Numbers: [8] 8,14 unequal: No Solution Moving to Node #0,0,0 Current State: 14:[7, 76], Operations: ['70/10=7', '98-22=76'] Exploring Operation: 7*76=532, Resulting Numbers: [532] 532,14 unequal: No Solution Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,14 unequal: No Solution Exploring Operation: 7+76=83, Resulting Numbers: [83] 83,14 unequal: No Solution Moving to Node #0,0,3 Current State: 14:[98, 15], Operations: ['70/10=7', '22-7=15'] Exploring Operation: 98*15=1470, Resulting Numbers: [1470] 1470,14 unequal: No Solution Exploring Operation: 98+15=113, Resulting Numbers: [113] 113,14 unequal: No Solution Exploring Operation: 98-15=83, Resulting Numbers: [83] 83,14 unequal: No Solution Moving to Node #0,0,4 Current State: 14:[22, 91], Operations: ['70/10=7', '98-7=91'] Exploring Operation: 22+91=113, Resulting Numbers: [113] 113,14 unequal: No Solution Exploring Operation: 91-22=69, Resulting Numbers: [69] 69,14 unequal: No Solution Exploring Operation: 22*91=2002, Resulting Numbers: [2002] 2002,14 unequal: No Solution Moving to Node #0,0,2 Current State: 14:[98, 29], Operations: ['70/10=7', '22+7=29'] Exploring Operation: 98+29=127, Resulting Numbers: [127] 127,14 unequal: No Solution Exploring Operation: 98*29=2842, Resulting Numbers: [2842] 2842,14 unequal: No Solution Exploring Operation: 98-29=69, Resulting Numbers: [69] 69,14 unequal: No Solution No 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: 14:[10, 70, 76], Operations: ['98-22=76'] Exploring Operation: 76-70=6, Resulting Numbers: [10, 6] Generated Node #0,2,0: 14:[10, 6] Operation: 76-70=6 Exploring Operation: 70/10=7, Resulting Numbers: [76, 7] Generated Node #0,2,1: 14:[76, 7] Operation: 70/10=7 Exploring Operation: 10+70=80, Resulting Numbers: [76, 80] Generated Node #0,2,2: 14:[76, 80] Operation: 10+70=80 Exploring Operation: 76-10=66, Resulting Numbers: [70, 66] Generated Node #0,2,3: 14:[70, 66] Operation: 76-10=66 Exploring Operation: 70-10=60, Resulting Numbers: [76, 60] Generated Node #0,2,4: 14:[76, 60] Operation: 70-10=60 Moving to Node #0,2,0 Current State: 14:[10, 6], Operations: ['98-22=76', '76-70=6'] Exploring Operation: 10-6=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 10*6=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 10+6=16, Resulting Numbers: [16] 16,14 unequal: No Solution Moving to Node #0,2,1 Current State: 14:[76, 7], Operations: ['98-22=76', '70/10=7'] Exploring Operation: 76-7=69, Resulting Numbers: [69] 69,14 unequal: No Solution Exploring Operation: 76*7=532, Resulting Numbers: [532] 532,14 unequal: No Solution Exploring Operation: 76+7=83, Resulting Numbers: [83] 83,14 unequal: No Solution Moving to Node #0,2,3 Current State: 14:[70, 66], Operations: ['98-22=76', '76-10=66'] Exploring Operation: 70*66=4620, Resulting Numbers: [4620] 4620,14 unequal: No Solution Exploring Operation: 70-66=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 70+66=136, Resulting Numbers: [136] 136,14 unequal: No Solution Moving to Node #0,2,4 Current State: 14:[76, 60], Operations: ['98-22=76', '70-10=60'] Exploring Operation: 76+60=136, Resulting Numbers: [136] 136,14 unequal: No Solution Exploring Operation: 76*60=4560, Resulting Numbers: [4560] 4560,14 unequal: No Solution Exploring Operation: 76-60=16, Resulting Numbers: [16] 16,14 unequal: No Solution Moving to Node #0,2,2 Current State: 14:[76, 80], Operations: ['98-22=76', '10+70=80'] Exploring Operation: 76*80=6080, Resulting Numbers: [6080] 6080,14 unequal: No Solution Exploring Operation: 80-76=4, Resulting Numbers: [4] 4,14 unequal: No Solution Exploring Operation: 76+80=156, Resulting Numbers: [156] 156,14 unequal: No Solution No 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: 14:[10, 98, 48], Operations: ['70-22=48'] Exploring Operation: 10+98=108, Resulting Numbers: [48, 108] Generated Node #0,3,0: 14:[48, 108] Operation: 10+98=108 Exploring Operation: 48-10=38, Resulting Numbers: [98, 38] Generated Node #0,3,1: 14:[98, 38] Operation: 48-10=38 Exploring Operation: 10+48=58, Resulting Numbers: [98, 58] Generated Node #0,3,2: 14:[98, 58] Operation: 10+48=58 Exploring Operation: 98-48=50, Resulting Numbers: [10, 50] Generated Node #0,3,3: 14:[10, 50] Operation: 98-48=50 Exploring Operation: 98-10=88, Resulting Numbers: [48, 88] Generated Node #0,3,4: 14:[48, 88] Operation: 98-10=88 Moving to Node #0,3,3 Current State: 14:[10, 50], Operations: ['70-22=48', '98-48=50'] Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 10+50=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 50/10=5, Resulting Numbers: [5] 5,14 unequal: No Solution Exploring Operation: 10*50=500, Resulting Numbers: [500] 500,14 unequal: No Solution Moving to Node #0,3,4 Current State: 14:[48, 88], Operations: ['70-22=48', '98-10=88'] Exploring Operation: 88-48=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 48*88=4224, Resulting Numbers: [4224] 4224,14 unequal: No Solution Exploring Operation: 48+88=136, Resulting Numbers: [136] 136,14 unequal: No Solution Moving to Node #0,3,1 Current State: 14:[98, 38], Operations: ['70-22=48', '48-10=38'] Exploring Operation: 98*38=3724, Resulting Numbers: [3724] 3724,14 unequal: No Solution Exploring Operation: 98-38=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 98+38=136, Resulting Numbers: [136] 136,14 unequal: No Solution Moving to Node #0,3,0 Current State: 14:[48, 108], Operations: ['70-22=48', '10+98=108'] Exploring Operation: 108-48=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 48+108=156, Resulting Numbers: [156] 156,14 unequal: No Solution Exploring Operation: 48*108=5184, Resulting Numbers: [5184] 5184,14 unequal: No Solution Moving to Node #0,3,2 Current State: 14:[98, 58], Operations: ['70-22=48', '10+48=58'] Exploring Operation: 98-58=40, Resulting Numbers: [40] 40,14 unequal: No Solution Exploring Operation: 98*58=5684, Resulting Numbers: [5684] 5684,14 unequal: No Solution Exploring Operation: 98+58=156, Resulting Numbers: [156] 156,14 unequal: No Solution No 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: 14:[22, 98, 60], Operations: ['70-10=60'] Exploring Operation: 98-22=76, Resulting Numbers: [60, 76] Generated Node #0,4,0: 14:[60, 76] Operation: 98-22=76 Exploring Operation: 60-22=38, Resulting Numbers: [98, 38] Generated Node #0,4,1: 14:[98, 38] Operation: 60-22=38 Exploring Operation: 22+60=82, Resulting Numbers: [98, 82] Generated Node #0,4,2: 14:[98, 82] Operation: 22+60=82 Exploring Operation: 22+98=120, Resulting Numbers: [60, 120] Generated Node #0,4,3: 14:[60, 120] Operation: 22+98=120 Exploring Operation: 98-60=38, Resulting Numbers: [22, 38] Generated Node #0,4,4: 14:[22, 38] Operation: 98-60=38 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 14:[22, 38], Operations: ['70-10=60', '98-60=38'] Exploring Operation: 22+38=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 22*38=836, Resulting Numbers: [836] 836,14 unequal: No Solution Exploring Operation: 38-22=16, Resulting Numbers: [16] 16,14 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: 14:[60, 76], Operations: ['70-10=60', '98-22=76'] Exploring Operation: 76-60=16, Resulting Numbers: [16] 16,14 unequal: No Solution Exploring Operation: 60*76=4560, Resulting Numbers: [4560] 4560,14 unequal: No Solution Exploring Operation: 60+76=136, Resulting Numbers: [136] 136,14 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: 14:[98, 38], Operations: ['70-10=60', '60-22=38'] Exploring Operation: 98+38=136, Resulting Numbers: [136] 136,14 unequal: No Solution Exploring Operation: 98*38=3724, Resulting Numbers: [3724] 3724,14 unequal: No Solution Exploring Operation: 98-38=60, Resulting Numbers: [60] 60,14 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: 14:[98, 82], Operations: ['70-10=60', '22+60=82'] Exploring Operation: 98*82=8036, Resulting Numbers: [8036] 8036,14 unequal: No Solution Exploring Operation: 98-82=16, Resulting Numbers: [16] 16,14 unequal: No Solution Exploring Operation: 98+82=180, Resulting Numbers: [180] 180,14 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: 14:[60, 120], Operations: ['70-10=60', '22+98=120'] Exploring Operation: 60*120=7200, Resulting Numbers: [7200] 7200,14 unequal: No Solution Exploring Operation: 120/60=2, Resulting Numbers: [2] 2,14 unequal: No Solution Exploring Operation: 120-60=60, Resulting Numbers: [60] 60,14 unequal: No Solution Exploring Operation: 60+120=180, Resulting Numbers: [180] 180,14 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
[ 77, 68, 84, 81 ]
75
[ "77-68=9", "81/9=9", "84-9=75" ]
Current State: 75:[77, 68, 84, 81], Operations: [] Exploring Operation: 77-68=9, Resulting Numbers: [84, 81, 9] Generated Node #2: [84, 81, 9] from Operation: 77-68=9 Current State: 75:[84, 81, 9], Operations: ['77-68=9'] Exploring Operation: 81/9=9, Resulting Numbers: [84, 9] Generated Node #3: [84, 9] from Operation: 81/9=9 Current State: 75:[84, 9], Operations: ['77-68=9', '81/9=9'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[77, 68, 84, 81], Operations: [] Exploring Operation: 84-68=16, Resulting Numbers: [77, 81, 16] Generated Node #0,0: 75:[77, 81, 16] Operation: 84-68=16 Exploring Operation: 84-81=3, Resulting Numbers: [77, 68, 3] Generated Node #0,1: 75:[77, 68, 3] Operation: 84-81=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[77, 81, 16], Operations: ['84-68=16'] Exploring Operation: 81-77=4, Resulting Numbers: [16, 4] Generated Node #0,0,0: 75:[16, 4] Operation: 81-77=4 Exploring Operation: 81-16=65, Resulting Numbers: [77, 65] Generated Node #0,0,1: 75:[77, 65] Operation: 81-16=65 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[16, 4], Operations: ['84-68=16', '81-77=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,75 unequal: No Solution Exploring Operation: 16/4=4, Resulting Numbers: [4] 4,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 75:[77, 65], Operations: ['84-68=16', '81-16=65'] Exploring Operation: 77-65=12, Resulting Numbers: [12] 12,75 unequal: No Solution Exploring Operation: 77+65=142, Resulting Numbers: [142] 142,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 75:[77, 68, 3], Operations: ['84-81=3'] Exploring Operation: 77-68=9, Resulting Numbers: [3, 9] Generated Node #0,1,0: 75:[3, 9] Operation: 77-68=9 Exploring Operation: 68+3=71, Resulting Numbers: [77, 71] Generated Node #0,1,1: 75:[77, 71] Operation: 68+3=71 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 75:[3, 9], Operations: ['84-81=3', '77-68=9'] Exploring Operation: 9/3=3, Resulting Numbers: [3] 3,75 unequal: No Solution Exploring Operation: 9-3=6, Resulting Numbers: [6] 6,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 75:[77, 71], Operations: ['84-81=3', '68+3=71'] Exploring Operation: 77-71=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 77+71=148, Resulting Numbers: [148] 148,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 5, 66, 91, 47 ]
27
[ "5+66=71", "91-47=44", "71-44=27" ]
Current State: 27:[5, 66, 91, 47], Operations: [] Exploring Operation: 5+66=71, Resulting Numbers: [91, 47, 71] Generated Node #2: [91, 47, 71] from Operation: 5+66=71 Current State: 27:[91, 47, 71], Operations: ['5+66=71'] Exploring Operation: 91-47=44, Resulting Numbers: [71, 44] Generated Node #3: [71, 44] from Operation: 91-47=44 Current State: 27:[71, 44], Operations: ['5+66=71', '91-47=44'] Exploring Operation: 71-44=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[5, 66, 91, 47], Operations: [] Exploring Operation: 66-5=61, Resulting Numbers: [91, 47, 61] Generated Node #0,0: 27:[91, 47, 61] Operation: 66-5=61 Exploring Operation: 66-47=19, Resulting Numbers: [5, 91, 19] Generated Node #0,1: 27:[5, 91, 19] Operation: 66-47=19 Exploring Operation: 91-66=25, Resulting Numbers: [5, 47, 25] Generated Node #0,2: 27:[5, 47, 25] Operation: 91-66=25 Exploring Operation: 91-47=44, Resulting Numbers: [5, 66, 44] Generated Node #0,3: 27:[5, 66, 44] Operation: 91-47=44 Start Sub Search at level 1: Moving to Node #0,2 Current State: 27:[5, 47, 25], Operations: ['91-66=25'] Exploring Operation: 47-5=42, Resulting Numbers: [25, 42] Generated Node #0,2,0: 27:[25, 42] Operation: 47-5=42 Exploring Operation: 25/5=5, Resulting Numbers: [47, 5] Generated Node #0,2,1: 27:[47, 5] Operation: 25/5=5 Exploring Operation: 5+25=30, Resulting Numbers: [47, 30] Generated Node #0,2,2: 27:[47, 30] Operation: 5+25=30 Exploring Operation: 47-25=22, Resulting Numbers: [5, 22] Generated Node #0,2,3: 27:[5, 22] Operation: 47-25=22 Moving to Node #0,2,3 Current State: 27:[5, 22], Operations: ['91-66=25', '47-25=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[5, 66, 91, 47], Operations: [] Exploring Operation: 91-66=25, Resulting Numbers: [5, 47, 25] Generated Node #0,2: 27:[5, 47, 25] Operation: 91-66=25 Moving to Node #0,2 Current State: 27:[5, 47, 25], Operations: ['91-66=25'] Exploring Operation: 47-25=22, Resulting Numbers: [5, 22] Generated Node #0,2,3: 27:[5, 22] Operation: 47-25=22 Moving to Node #0,2,3 Current State: 27:[5, 22], Operations: ['91-66=25', '47-25=22'] Exploring Operation: 5+22=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
mult_heuristic
[ 3, 54, 4, 87 ]
75
[ "87-3=84", "84/4=21", "54+21=75" ]
Current State: 75:[3, 54, 4, 87], Operations: [] Exploring Operation: 87-3=84, Resulting Numbers: [54, 4, 84] Generated Node #2: [54, 4, 84] from Operation: 87-3=84 Current State: 75:[54, 4, 84], Operations: ['87-3=84'] Exploring Operation: 84/4=21, Resulting Numbers: [54, 21] Generated Node #3: [54, 21] from Operation: 84/4=21 Current State: 75:[54, 21], Operations: ['87-3=84', '84/4=21'] Exploring Operation: 54+21=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[3, 54, 4, 87], Operations: [] Exploring Operation: 87-54=33, Resulting Numbers: [3, 4, 33] Generated Node #0,0: 75:[3, 4, 33] Operation: 87-54=33 Exploring Operation: 54/3=18, Resulting Numbers: [4, 87, 18] Generated Node #0,1: 75:[4, 87, 18] Operation: 54/3=18 Moving to Node #0,0 Current State: 75:[3, 4, 33], Operations: ['87-54=33'] Exploring Operation: 33-4=29, Resulting Numbers: [3, 29] Generated Node #0,0,0: 75:[3, 29] Operation: 33-4=29 Exploring Operation: 33/3=11, Resulting Numbers: [4, 11] Generated Node #0,0,1: 75:[4, 11] Operation: 33/3=11 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 75:[3, 29], Operations: ['87-54=33', '33-4=29'] Exploring Operation: 29-3=26, Resulting Numbers: [26] 26,75 unequal: No Solution Exploring Operation: 3+29=32, Resulting Numbers: [32] 32,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 75:[4, 11], Operations: ['87-54=33', '33/3=11'] Exploring Operation: 11-4=7, Resulting Numbers: [7] 7,75 unequal: No Solution Exploring Operation: 4+11=15, Resulting Numbers: [15] 15,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 75:[4, 87, 18], Operations: ['54/3=18'] Exploring Operation: 87-18=69, Resulting Numbers: [4, 69] Generated Node #0,1,0: 75:[4, 69] Operation: 87-18=69 Exploring Operation: 87-4=83, Resulting Numbers: [18, 83] Generated Node #0,1,1: 75:[18, 83] Operation: 87-4=83 Moving to Node #0,1,0 Current State: 75:[4, 69], Operations: ['54/3=18', '87-18=69'] Exploring Operation: 4+69=73, Resulting Numbers: [73] 73,75 unequal: No Solution Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,75 unequal: No Solution Moving to Node #0,1,1 Current State: 75:[18, 83], Operations: ['54/3=18', '87-4=83'] Exploring Operation: 18+83=101, Resulting Numbers: [101] 101,75 unequal: No Solution Exploring Operation: 83-18=65, Resulting Numbers: [65] 65,75 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 37, 30, 31, 98 ]
61
[ "98-37=61", "31-30=1", "61*1=61" ]
Current State: 61:[37, 30, 31, 98], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [30, 31, 61] Generated Node #2: [30, 31, 61] from Operation: 98-37=61 Current State: 61:[30, 31, 61], Operations: ['98-37=61'] Exploring Operation: 31-30=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 31-30=1 Current State: 61:[61, 1], Operations: ['98-37=61', '31-30=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[37, 30, 31, 98], Operations: [] Exploring Operation: 98-37=61, Resulting Numbers: [30, 31, 61] Generated Node #0,0: 61:[30, 31, 61] Operation: 98-37=61 Moving to Node #0,0 Current State: 61:[30, 31, 61], Operations: ['98-37=61'] Exploring Operation: 30+31=61, Resulting Numbers: [61, 61] Generated Node #0,0,0: 61:[61, 61] Operation: 30+31=61 Moving to Node #0,0,0 Current State: 61:[61, 61], Operations: ['98-37=61', '30+31=61'] Exploring Operation: 61/61=1, Resulting Numbers: [1] 1,61 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 89, 88, 86, 33 ]
99
[ "89-86=3", "33/3=11", "88+11=99" ]
Current State: 99:[89, 88, 86, 33], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [88, 33, 3] Generated Node #2: [88, 33, 3] from Operation: 89-86=3 Current State: 99:[88, 33, 3], Operations: ['89-86=3'] Exploring Operation: 33/3=11, Resulting Numbers: [88, 11] Generated Node #3: [88, 11] from Operation: 33/3=11 Current State: 99:[88, 11], Operations: ['89-86=3', '33/3=11'] Exploring Operation: 88+11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[89, 88, 86, 33], Operations: [] Exploring Operation: 86+33=119, Resulting Numbers: [89, 88, 119] Generated Node #0,0: 99:[89, 88, 119] Operation: 86+33=119 Exploring Operation: 88-86=2, Resulting Numbers: [89, 33, 2] Generated Node #0,1: 99:[89, 33, 2] Operation: 88-86=2 Exploring Operation: 89-86=3, Resulting Numbers: [88, 33, 3] Generated Node #0,2: 99:[88, 33, 3] Operation: 89-86=3 Exploring Operation: 89-88=1, Resulting Numbers: [86, 33, 1] Generated Node #0,3: 99:[86, 33, 1] Operation: 89-88=1 Start Sub Search at level 1: Moving to Node #0,1 Current State: 99:[89, 33, 2], Operations: ['88-86=2'] Exploring Operation: 89-2=87, Resulting Numbers: [33, 87] Generated Node #0,1,0: 99:[33, 87] Operation: 89-2=87 Exploring Operation: 89+2=91, Resulting Numbers: [33, 91] Generated Node #0,1,1: 99:[33, 91] Operation: 89+2=91 Exploring Operation: 33-2=31, Resulting Numbers: [89, 31] Generated Node #0,1,2: 99:[89, 31] Operation: 33-2=31 Exploring Operation: 33+2=35, Resulting Numbers: [89, 35] Generated Node #0,1,3: 99:[89, 35] Operation: 33+2=35 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 99:[33, 91], Operations: ['88-86=2', '89+2=91'] Exploring Operation: 91-33=58, Resulting Numbers: [58] 58,99 unequal: No Solution Exploring Operation: 33+91=124, Resulting Numbers: [124] 124,99 unequal: No Solution Exploring Operation: 33*91=3003, Resulting Numbers: [3003] 3003,99 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 #0,1,0 Current State: 99:[33, 87], Operations: ['88-86=2', '89-2=87'] Exploring Operation: 33*87=2871, Resulting Numbers: [2871] 2871,99 unequal: No Solution Exploring Operation: 87-33=54, Resulting Numbers: [54] 54,99 unequal: No Solution Exploring Operation: 33+87=120, Resulting Numbers: [120] 120,99 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:[89, 31], Operations: ['88-86=2', '33-2=31'] Exploring Operation: 89*31=2759, Resulting Numbers: [2759] 2759,99 unequal: No Solution Exploring Operation: 89+31=120, Resulting Numbers: [120] 120,99 unequal: No Solution Exploring Operation: 89-31=58, Resulting Numbers: [58] 58,99 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:[89, 35], Operations: ['88-86=2', '33+2=35'] Exploring Operation: 89-35=54, Resulting Numbers: [54] 54,99 unequal: No Solution Exploring Operation: 89+35=124, Resulting Numbers: [124] 124,99 unequal: No Solution Exploring Operation: 89*35=3115, Resulting Numbers: [3115] 3115,99 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 #0,2 Current State: 99:[88, 33, 3], Operations: ['89-86=3'] Exploring Operation: 88-3=85, Resulting Numbers: [33, 85] Generated Node #0,2,0: 99:[33, 85] Operation: 88-3=85 Exploring Operation: 88+3=91, Resulting Numbers: [33, 91] Generated Node #0,2,1: 99:[33, 91] Operation: 88+3=91 Exploring Operation: 33*3=99, Resulting Numbers: [88, 99] Generated Node #0,2,2: 99:[88, 99] Operation: 33*3=99 Exploring Operation: 33/3=11, Resulting Numbers: [88, 11] Generated Node #0,2,3: 99:[88, 11] Operation: 33/3=11 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 99:[33, 91], Operations: ['89-86=3', '88+3=91'] Exploring Operation: 33*91=3003, Resulting Numbers: [3003] 3003,99 unequal: No Solution Exploring Operation: 33+91=124, Resulting Numbers: [124] 124,99 unequal: No Solution Exploring Operation: 91-33=58, Resulting Numbers: [58] 58,99 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 #0,2,2 Current State: 99:[88, 99], Operations: ['89-86=3', '33*3=99'] Exploring Operation: 88+99=187, Resulting Numbers: [187] 187,99 unequal: No Solution Exploring Operation: 88*99=8712, Resulting Numbers: [8712] 8712,99 unequal: No Solution Exploring Operation: 99-88=11, Resulting Numbers: [11] 11,99 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 #0,2,3 Current State: 99:[88, 11], Operations: ['89-86=3', '33/3=11'] Exploring Operation: 88*11=968, Resulting Numbers: [968] 968,99 unequal: No Solution Exploring Operation: 88-11=77, Resulting Numbers: [77] 77,99 unequal: No Solution Exploring Operation: 88+11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Moving to Node #0 Current State: 99:[89, 88, 86, 33], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [88, 33, 3] Generated Node #0,2: 99:[88, 33, 3] Operation: 89-86=3 Moving to Node #0,2 Current State: 99:[88, 33, 3], Operations: ['89-86=3'] Exploring Operation: 33/3=11, Resulting Numbers: [88, 11] Generated Node #0,2,3: 99:[88, 11] Operation: 33/3=11 Moving to Node #0,2,3 Current State: 99:[88, 11], Operations: ['89-86=3', '33/3=11'] Exploring Operation: 88+11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.967882
hs_4
mult_heuristic
[ 43, 32, 40, 58 ]
57
[ "43+32=75", "58-40=18", "75-18=57" ]
Current State: 57:[43, 32, 40, 58], Operations: [] Exploring Operation: 43+32=75, Resulting Numbers: [40, 58, 75] Generated Node #2: [40, 58, 75] from Operation: 43+32=75 Current State: 57:[40, 58, 75], Operations: ['43+32=75'] Exploring Operation: 58-40=18, Resulting Numbers: [75, 18] Generated Node #3: [75, 18] from Operation: 58-40=18 Current State: 57:[75, 18], Operations: ['43+32=75', '58-40=18'] Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[43, 32, 40, 58], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [43, 32, 18] Generated Node #0,0: 57:[43, 32, 18] Operation: 58-40=18 Exploring Operation: 43-32=11, Resulting Numbers: [40, 58, 11] Generated Node #0,1: 57:[40, 58, 11] Operation: 43-32=11 Exploring Operation: 32+40=72, Resulting Numbers: [43, 58, 72] Generated Node #0,2: 57:[43, 58, 72] Operation: 32+40=72 Exploring Operation: 43-40=3, Resulting Numbers: [32, 58, 3] Generated Node #0,3: 57:[32, 58, 3] Operation: 43-40=3 Exploring Operation: 40-32=8, Resulting Numbers: [43, 58, 8] Generated Node #0,4: 57:[43, 58, 8] Operation: 40-32=8 Start Sub Search at level 1: Moving to Node #0,3 Current State: 57:[32, 58, 3], Operations: ['43-40=3'] Exploring Operation: 32-3=29, Resulting Numbers: [58, 29] Generated Node #0,3,0: 57:[58, 29] Operation: 32-3=29 Exploring Operation: 58+3=61, Resulting Numbers: [32, 61] Generated Node #0,3,1: 57:[32, 61] Operation: 58+3=61 Exploring Operation: 32+3=35, Resulting Numbers: [58, 35] Generated Node #0,3,2: 57:[58, 35] Operation: 32+3=35 Exploring Operation: 58-32=26, Resulting Numbers: [3, 26] Generated Node #0,3,3: 57:[3, 26] Operation: 58-32=26 Exploring Operation: 58-3=55, Resulting Numbers: [32, 55] Generated Node #0,3,4: 57:[32, 55] Operation: 58-3=55 Moving to Node #0,3,3 Current State: 57:[3, 26], Operations: ['43-40=3', '58-32=26'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 3+26=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 3*26=78, Resulting Numbers: [78] 78,57 unequal: No Solution Moving to Node #0,3,0 Current State: 57:[58, 29], Operations: ['43-40=3', '32-3=29'] Exploring Operation: 58+29=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 58/29=2, Resulting Numbers: [2] 2,57 unequal: No Solution Exploring Operation: 58*29=1682, Resulting Numbers: [1682] 1682,57 unequal: No Solution Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,3,4 Current State: 57:[32, 55], Operations: ['43-40=3', '58-3=55'] Exploring Operation: 32+55=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 32*55=1760, Resulting Numbers: [1760] 1760,57 unequal: No Solution Exploring Operation: 55-32=23, Resulting Numbers: [23] 23,57 unequal: No Solution Moving to Node #0,3,1 Current State: 57:[32, 61], Operations: ['43-40=3', '58+3=61'] Exploring Operation: 32+61=93, Resulting Numbers: [93] 93,57 unequal: No Solution Exploring Operation: 32*61=1952, Resulting Numbers: [1952] 1952,57 unequal: No Solution Exploring Operation: 61-32=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,3,2 Current State: 57:[58, 35], Operations: ['43-40=3', '32+3=35'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 58+35=93, Resulting Numbers: [93] 93,57 unequal: No Solution Exploring Operation: 58*35=2030, Resulting Numbers: [2030] 2030,57 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 #0,4 Current State: 57:[43, 58, 8], Operations: ['40-32=8'] Exploring Operation: 58+8=66, Resulting Numbers: [43, 66] Generated Node #0,4,0: 57:[43, 66] Operation: 58+8=66 Exploring Operation: 58-8=50, Resulting Numbers: [43, 50] Generated Node #0,4,1: 57:[43, 50] Operation: 58-8=50 Exploring Operation: 43+8=51, Resulting Numbers: [58, 51] Generated Node #0,4,2: 57:[58, 51] Operation: 43+8=51 Exploring Operation: 58-43=15, Resulting Numbers: [8, 15] Generated Node #0,4,3: 57:[8, 15] Operation: 58-43=15 Exploring Operation: 43-8=35, Resulting Numbers: [58, 35] Generated Node #0,4,4: 57:[58, 35] Operation: 43-8=35 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 57:[58, 51], Operations: ['40-32=8', '43+8=51'] Exploring Operation: 58-51=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 58*51=2958, Resulting Numbers: [2958] 2958,57 unequal: No Solution Exploring Operation: 58+51=109, Resulting Numbers: [109] 109,57 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: 57:[8, 15], Operations: ['40-32=8', '58-43=15'] Exploring Operation: 15-8=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 8+15=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 8*15=120, Resulting Numbers: [120] 120,57 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: 57:[58, 35], Operations: ['40-32=8', '43-8=35'] Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 58*35=2030, Resulting Numbers: [2030] 2030,57 unequal: No Solution Exploring Operation: 58+35=93, Resulting Numbers: [93] 93,57 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: 57:[43, 50], Operations: ['40-32=8', '58-8=50'] Exploring Operation: 50-43=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 43+50=93, Resulting Numbers: [93] 93,57 unequal: No Solution Exploring Operation: 43*50=2150, Resulting Numbers: [2150] 2150,57 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: 57:[43, 66], Operations: ['40-32=8', '58+8=66'] Exploring Operation: 43*66=2838, Resulting Numbers: [2838] 2838,57 unequal: No Solution Exploring Operation: 66-43=23, Resulting Numbers: [23] 23,57 unequal: No Solution Exploring Operation: 43+66=109, Resulting Numbers: [109] 109,57 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: 57:[40, 58, 11], Operations: ['43-32=11'] Exploring Operation: 40+11=51, Resulting Numbers: [58, 51] Generated Node #0,1,0: 57:[58, 51] Operation: 40+11=51 Exploring Operation: 58-11=47, Resulting Numbers: [40, 47] Generated Node #0,1,1: 57:[40, 47] Operation: 58-11=47 Exploring Operation: 58+11=69, Resulting Numbers: [40, 69] Generated Node #0,1,2: 57:[40, 69] Operation: 58+11=69 Exploring Operation: 40-11=29, Resulting Numbers: [58, 29] Generated Node #0,1,3: 57:[58, 29] Operation: 40-11=29 Exploring Operation: 58-40=18, Resulting Numbers: [11, 18] Generated Node #0,1,4: 57:[11, 18] Operation: 58-40=18 Moving to Node #0,1,0 Current State: 57:[58, 51], Operations: ['43-32=11', '40+11=51'] Exploring Operation: 58*51=2958, Resulting Numbers: [2958] 2958,57 unequal: No Solution Exploring Operation: 58-51=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 58+51=109, Resulting Numbers: [109] 109,57 unequal: No Solution Moving to Node #0,1,4 Current State: 57:[11, 18], Operations: ['43-32=11', '58-40=18'] Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 11*18=198, Resulting Numbers: [198] 198,57 unequal: No Solution Exploring Operation: 11+18=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,1,3 Current State: 57:[58, 29], Operations: ['43-32=11', '40-11=29'] Exploring Operation: 58+29=87, Resulting Numbers: [87] 87,57 unequal: No Solution Exploring Operation: 58/29=2, Resulting Numbers: [2] 2,57 unequal: No Solution Exploring Operation: 58*29=1682, Resulting Numbers: [1682] 1682,57 unequal: No Solution Exploring Operation: 58-29=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,1,1 Current State: 57:[40, 47], Operations: ['43-32=11', '58-11=47'] Exploring Operation: 40*47=1880, Resulting Numbers: [1880] 1880,57 unequal: No Solution Exploring Operation: 47-40=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 40+47=87, Resulting Numbers: [87] 87,57 unequal: No Solution Moving to Node #0,1,2 Current State: 57:[40, 69], Operations: ['43-32=11', '58+11=69'] Exploring Operation: 40+69=109, Resulting Numbers: [109] 109,57 unequal: No Solution Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 40*69=2760, Resulting Numbers: [2760] 2760,57 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[43, 32, 18], Operations: ['58-40=18'] Exploring Operation: 43-32=11, Resulting Numbers: [18, 11] Generated Node #0,0,0: 57:[18, 11] Operation: 43-32=11 Exploring Operation: 43-18=25, Resulting Numbers: [32, 25] Generated Node #0,0,1: 57:[32, 25] Operation: 43-18=25 Exploring Operation: 43+32=75, Resulting Numbers: [18, 75] Generated Node #0,0,2: 57:[18, 75] Operation: 43+32=75 Exploring Operation: 32-18=14, Resulting Numbers: [43, 14] Generated Node #0,0,3: 57:[43, 14] Operation: 32-18=14 Exploring Operation: 43+18=61, Resulting Numbers: [32, 61] Generated Node #0,0,4: 57:[32, 61] Operation: 43+18=61 Moving to Node #0,0,0 Current State: 57:[18, 11], Operations: ['58-40=18', '43-32=11'] Exploring Operation: 18-11=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 18+11=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 18*11=198, Resulting Numbers: [198] 198,57 unequal: No Solution Moving to Node #0,0,4 Current State: 57:[32, 61], Operations: ['58-40=18', '43+18=61'] Exploring Operation: 61-32=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 32*61=1952, Resulting Numbers: [1952] 1952,57 unequal: No Solution Exploring Operation: 32+61=93, Resulting Numbers: [93] 93,57 unequal: No Solution Moving to Node #0,0,1 Current State: 57:[32, 25], Operations: ['58-40=18', '43-18=25'] Exploring Operation: 32-25=7, Resulting Numbers: [7] 7,57 unequal: No Solution Exploring Operation: 32*25=800, Resulting Numbers: [800] 800,57 unequal: No Solution Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[43, 32, 40, 58], Operations: [] Exploring Operation: 58-40=18, Resulting Numbers: [43, 32, 18] Generated Node #0,0: 57:[43, 32, 18] Operation: 58-40=18 Moving to Node #0,0 Current State: 57:[43, 32, 18], Operations: ['58-40=18'] Exploring Operation: 43-18=25, Resulting Numbers: [32, 25] Generated Node #0,0,1: 57:[32, 25] Operation: 43-18=25 Moving to Node #0,0,1 Current State: 57:[32, 25], Operations: ['58-40=18', '43-18=25'] Exploring Operation: 32+25=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.926215
hs_5
mult_heuristic
[ 30, 86, 53, 89 ]
47
[ "30*86=2580", "2580-89=2491", "2491/53=47" ]
Current State: 47:[30, 86, 53, 89], Operations: [] Exploring Operation: 30*86=2580, Resulting Numbers: [53, 89, 2580] Generated Node #2: [53, 89, 2580] from Operation: 30*86=2580 Current State: 47:[53, 89, 2580], Operations: ['30*86=2580'] Exploring Operation: 2580-89=2491, Resulting Numbers: [53, 2491] Generated Node #3: [53, 2491] from Operation: 2580-89=2491 Current State: 47:[53, 2491], Operations: ['30*86=2580', '2580-89=2491'] Exploring Operation: 2491/53=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[30, 86, 53, 89], Operations: [] Exploring Operation: 89-53=36, Resulting Numbers: [30, 86, 36] Generated Node #0,0: 47:[30, 86, 36] Operation: 89-53=36 Exploring Operation: 86-30=56, Resulting Numbers: [53, 89, 56] Generated Node #0,1: 47:[53, 89, 56] Operation: 86-30=56 Exploring Operation: 89-86=3, Resulting Numbers: [30, 53, 3] Generated Node #0,2: 47:[30, 53, 3] Operation: 89-86=3 Exploring Operation: 89-30=59, Resulting Numbers: [86, 53, 59] Generated Node #0,3: 47:[86, 53, 59] Operation: 89-30=59 Moving to Node #0,1 Current State: 47:[53, 89, 56], Operations: ['86-30=56'] Exploring Operation: 53+89=142, Resulting Numbers: [56, 142] Generated Node #0,1,0: 47:[56, 142] Operation: 53+89=142 Exploring Operation: 89-56=33, Resulting Numbers: [53, 33] Generated Node #0,1,1: 47:[53, 33] Operation: 89-56=33 Exploring Operation: 56-53=3, Resulting Numbers: [89, 3] Generated Node #0,1,2: 47:[89, 3] Operation: 56-53=3 Exploring Operation: 89-53=36, Resulting Numbers: [56, 36] Generated Node #0,1,3: 47:[56, 36] Operation: 89-53=36 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 47:[53, 33], Operations: ['86-30=56', '89-56=33'] Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,47 unequal: No Solution Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 53*33=1749, Resulting Numbers: [1749] 1749,47 unequal: No Solution No 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: 47:[56, 36], Operations: ['86-30=56', '89-53=36'] Exploring Operation: 56*36=2016, Resulting Numbers: [2016] 2016,47 unequal: No Solution Exploring Operation: 56-36=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 56+36=92, Resulting Numbers: [92] 92,47 unequal: No Solution No 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: 47:[89, 3], Operations: ['86-30=56', '56-53=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,47 unequal: No Solution Exploring Operation: 89-3=86, Resulting Numbers: [86] 86,47 unequal: No Solution Exploring Operation: 89*3=267, Resulting Numbers: [267] 267,47 unequal: No Solution No 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: 47:[56, 142], Operations: ['86-30=56', '53+89=142'] Exploring Operation: 56+142=198, Resulting Numbers: [198] 198,47 unequal: No Solution Exploring Operation: 56*142=7952, Resulting Numbers: [7952] 7952,47 unequal: No Solution Exploring Operation: 142-56=86, Resulting Numbers: [86] 86,47 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: 47:[86, 53, 59], Operations: ['89-30=59'] Exploring Operation: 59-53=6, Resulting Numbers: [86, 6] Generated Node #0,3,0: 47:[86, 6] Operation: 59-53=6 Exploring Operation: 86-53=33, Resulting Numbers: [59, 33] Generated Node #0,3,1: 47:[59, 33] Operation: 86-53=33 Exploring Operation: 86+53=139, Resulting Numbers: [59, 139] Generated Node #0,3,2: 47:[59, 139] Operation: 86+53=139 Exploring Operation: 86-59=27, Resulting Numbers: [53, 27] Generated Node #0,3,3: 47:[53, 27] Operation: 86-59=27 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 47:[59, 33], Operations: ['89-30=59', '86-53=33'] Exploring Operation: 59*33=1947, Resulting Numbers: [1947] 1947,47 unequal: No Solution Exploring Operation: 59-33=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 59+33=92, Resulting Numbers: [92] 92,47 unequal: No Solution No 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: 47:[53, 27], Operations: ['89-30=59', '86-59=27'] Exploring Operation: 53*27=1431, Resulting Numbers: [1431] 1431,47 unequal: No Solution Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 53+27=80, Resulting Numbers: [80] 80,47 unequal: No Solution No 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: 47:[86, 6], Operations: ['89-30=59', '59-53=6'] Exploring Operation: 86*6=516, Resulting Numbers: [516] 516,47 unequal: No Solution Exploring Operation: 86+6=92, Resulting Numbers: [92] 92,47 unequal: No Solution Exploring Operation: 86-6=80, Resulting Numbers: [80] 80,47 unequal: No Solution No 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: 47:[59, 139], Operations: ['89-30=59', '86+53=139'] Exploring Operation: 139-59=80, Resulting Numbers: [80] 80,47 unequal: No Solution Exploring Operation: 59+139=198, Resulting Numbers: [198] 198,47 unequal: No Solution Exploring Operation: 59*139=8201, Resulting Numbers: [8201] 8201,47 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: 47:[30, 53, 3], Operations: ['89-86=3'] Exploring Operation: 30-3=27, Resulting Numbers: [53, 27] Generated Node #0,2,0: 47:[53, 27] Operation: 30-3=27 Exploring Operation: 53-3=50, Resulting Numbers: [30, 50] Generated Node #0,2,1: 47:[30, 50] Operation: 53-3=50 Exploring Operation: 53+3=56, Resulting Numbers: [30, 56] Generated Node #0,2,2: 47:[30, 56] Operation: 53+3=56 Exploring Operation: 30+3=33, Resulting Numbers: [53, 33] Generated Node #0,2,3: 47:[53, 33] Operation: 30+3=33 Moving to Node #0,0 Current State: 47:[30, 86, 36], Operations: ['89-53=36'] Exploring Operation: 30+36=66, Resulting Numbers: [86, 66] Generated Node #0,0,0: 47:[86, 66] Operation: 30+36=66 Exploring Operation: 86-36=50, Resulting Numbers: [30, 50] Generated Node #0,0,1: 47:[30, 50] Operation: 86-36=50 Exploring Operation: 86-30=56, Resulting Numbers: [36, 56] Generated Node #0,0,2: 47:[36, 56] Operation: 86-30=56 Exploring Operation: 30+86=116, Resulting Numbers: [36, 116] Generated Node #0,0,3: 47:[36, 116] Operation: 30+86=116 Moving to Node #0,2,1 Current State: 47:[30, 50], Operations: ['89-86=3', '53-3=50'] Exploring Operation: 30+50=80, Resulting Numbers: [80] 80,47 unequal: No Solution Exploring Operation: 30*50=1500, Resulting Numbers: [1500] 1500,47 unequal: No Solution Exploring Operation: 50-30=20, Resulting Numbers: [20] 20,47 unequal: No Solution Moving to Node #0,0,2 Current State: 47:[36, 56], Operations: ['89-53=36', '86-30=56'] Exploring Operation: 36*56=2016, Resulting Numbers: [2016] 2016,47 unequal: No Solution Exploring Operation: 36+56=92, Resulting Numbers: [92] 92,47 unequal: No Solution Exploring Operation: 56-36=20, Resulting Numbers: [20] 20,47 unequal: No Solution Moving to Node #0,2,3 Current State: 47:[53, 33], Operations: ['89-86=3', '30+3=33'] Exploring Operation: 53+33=86, Resulting Numbers: [86] 86,47 unequal: No Solution Exploring Operation: 53*33=1749, Resulting Numbers: [1749] 1749,47 unequal: No Solution Exploring Operation: 53-33=20, Resulting Numbers: [20] 20,47 unequal: No Solution Moving to Node #0,0,1 Current State: 47:[30, 50], Operations: ['89-53=36', '86-36=50'] Exploring Operation: 30+50=80, Resulting Numbers: [80] 80,47 unequal: No Solution Exploring Operation: 50-30=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 30*50=1500, Resulting Numbers: [1500] 1500,47 unequal: No Solution Moving to Node #0,2,0 Current State: 47:[53, 27], Operations: ['89-86=3', '30-3=27'] Exploring Operation: 53-27=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 53+27=80, Resulting Numbers: [80] 80,47 unequal: No Solution Exploring Operation: 53*27=1431, Resulting Numbers: [1431] 1431,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[30, 56], Operations: ['89-86=3', '53+3=56'] Exploring Operation: 30*56=1680, Resulting Numbers: [1680] 1680,47 unequal: No Solution Exploring Operation: 56-30=26, Resulting Numbers: [26] 26,47 unequal: No Solution Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,47 unequal: No Solution Moving to Node #0,0,0 Current State: 47:[86, 66], Operations: ['89-53=36', '30+36=66'] Exploring Operation: 86*66=5676, Resulting Numbers: [5676] 5676,47 unequal: No Solution Exploring Operation: 86-66=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 86+66=152, Resulting Numbers: [152] 152,47 unequal: No Solution Moving to Node #0,0,3 Current State: 47:[36, 116], Operations: ['89-53=36', '30+86=116'] Exploring Operation: 36+116=152, Resulting Numbers: [152] 152,47 unequal: No Solution Exploring Operation: 36*116=4176, Resulting Numbers: [4176] 4176,47 unequal: No Solution Exploring Operation: 116-36=80, Resulting Numbers: [80] 80,47 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 57, 9, 8, 30 ]
33
[ "8*30=240", "57+240=297", "297/9=33" ]
Current State: 33:[57, 9, 8, 30], Operations: [] Exploring Operation: 8*30=240, Resulting Numbers: [57, 9, 240] Generated Node #2: [57, 9, 240] from Operation: 8*30=240 Current State: 33:[57, 9, 240], Operations: ['8*30=240'] Exploring Operation: 57+240=297, Resulting Numbers: [9, 297] Generated Node #3: [9, 297] from Operation: 57+240=297 Current State: 33:[9, 297], Operations: ['8*30=240', '57+240=297'] Exploring Operation: 297/9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[57, 9, 8, 30], Operations: [] Exploring Operation: 57-30=27, Resulting Numbers: [9, 8, 27] Generated Node #0,0: 33:[9, 8, 27] Operation: 57-30=27 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[9, 8, 27], Operations: ['57-30=27'] Exploring Operation: 27/9=3, Resulting Numbers: [8, 3] Generated Node #0,0,0: 33:[8, 3] Operation: 27/9=3 Moving to Node #0,0,0 Current State: 33:[8, 3], Operations: ['57-30=27', '27/9=3'] Exploring Operation: 8+3=11, Resulting Numbers: [11] 11,33 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
[ 44, 61, 47, 36 ]
41
[ "61+47=108", "108/36=3", "44-3=41" ]
Current State: 41:[44, 61, 47, 36], Operations: [] Exploring Operation: 61+47=108, Resulting Numbers: [44, 36, 108] Generated Node #2: [44, 36, 108] from Operation: 61+47=108 Current State: 41:[44, 36, 108], Operations: ['61+47=108'] Exploring Operation: 108/36=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 108/36=3 Current State: 41:[44, 3], Operations: ['61+47=108', '108/36=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[44, 61, 47, 36], Operations: [] Exploring Operation: 47-36=11, Resulting Numbers: [44, 61, 11] Generated Node #0,0: 41:[44, 61, 11] Operation: 47-36=11 Exploring Operation: 61-44=17, Resulting Numbers: [47, 36, 17] Generated Node #0,1: 41:[47, 36, 17] Operation: 61-44=17 Exploring Operation: 61-47=14, Resulting Numbers: [44, 36, 14] Generated Node #0,2: 41:[44, 36, 14] Operation: 61-47=14 Exploring Operation: 61-36=25, Resulting Numbers: [44, 47, 25] Generated Node #0,3: 41:[44, 47, 25] Operation: 61-36=25 Moving to Node #0,3 Current State: 41:[44, 47, 25], Operations: ['61-36=25'] Exploring Operation: 44-25=19, Resulting Numbers: [47, 19] Generated Node #0,3,0: 41:[47, 19] Operation: 44-25=19 Exploring Operation: 47+25=72, Resulting Numbers: [44, 72] Generated Node #0,3,1: 41:[44, 72] Operation: 47+25=72 Exploring Operation: 47-25=22, Resulting Numbers: [44, 22] Generated Node #0,3,2: 41:[44, 22] Operation: 47-25=22 Exploring Operation: 44+25=69, Resulting Numbers: [47, 69] Generated Node #0,3,3: 41:[47, 69] Operation: 44+25=69 Moving to Node #0,2 Current State: 41:[44, 36, 14], Operations: ['61-47=14'] Exploring Operation: 44-14=30, Resulting Numbers: [36, 30] Generated Node #0,2,0: 41:[36, 30] Operation: 44-14=30 Exploring Operation: 44+14=58, Resulting Numbers: [36, 58] Generated Node #0,2,1: 41:[36, 58] Operation: 44+14=58 Exploring Operation: 36-14=22, Resulting Numbers: [44, 22] Generated Node #0,2,2: 41:[44, 22] Operation: 36-14=22 Exploring Operation: 36+14=50, Resulting Numbers: [44, 50] Generated Node #0,2,3: 41:[44, 50] Operation: 36+14=50 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 41:[44, 50], Operations: ['61-47=14', '36+14=50'] Exploring Operation: 50-44=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 44*50=2200, Resulting Numbers: [2200] 2200,41 unequal: No Solution Exploring Operation: 44+50=94, Resulting Numbers: [94] 94,41 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 #0,2,0 Current State: 41:[36, 30], Operations: ['61-47=14', '44-14=30'] Exploring Operation: 36*30=1080, Resulting Numbers: [1080] 1080,41 unequal: No Solution Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,41 unequal: No Solution Exploring Operation: 36-30=6, Resulting Numbers: [6] 6,41 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:[36, 58], Operations: ['61-47=14', '44+14=58'] Exploring Operation: 58-36=22, Resulting Numbers: [22] 22,41 unequal: No Solution Exploring Operation: 36+58=94, Resulting Numbers: [94] 94,41 unequal: No Solution Exploring Operation: 36*58=2088, Resulting Numbers: [2088] 2088,41 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:[44, 22], Operations: ['61-47=14', '36-14=22'] Exploring Operation: 44*22=968, Resulting Numbers: [968] 968,41 unequal: No Solution Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,41 unequal: No Solution Exploring Operation: 44+22=66, Resulting Numbers: [66] 66,41 unequal: No Solution Exploring Operation: 44/22=2, Resulting Numbers: [2] 2,41 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:[47, 36, 17], Operations: ['61-44=17'] Exploring Operation: 47-17=30, Resulting Numbers: [36, 30] Generated Node #0,1,0: 41:[36, 30] Operation: 47-17=30 Exploring Operation: 36+17=53, Resulting Numbers: [47, 53] Generated Node #0,1,1: 41:[47, 53] Operation: 36+17=53 Exploring Operation: 36-17=19, Resulting Numbers: [47, 19] Generated Node #0,1,2: 41:[47, 19] Operation: 36-17=19 Exploring Operation: 47+17=64, Resulting Numbers: [36, 64] Generated Node #0,1,3: 41:[36, 64] Operation: 47+17=64 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 41:[36, 30], Operations: ['61-44=17', '47-17=30'] Exploring Operation: 36*30=1080, Resulting Numbers: [1080] 1080,41 unequal: No Solution Exploring Operation: 36-30=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,41 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:[47, 53], Operations: ['61-44=17', '36+17=53'] Exploring Operation: 47+53=100, Resulting Numbers: [100] 100,41 unequal: No Solution Exploring Operation: 47*53=2491, Resulting Numbers: [2491] 2491,41 unequal: No Solution Exploring Operation: 53-47=6, Resulting Numbers: [6] 6,41 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:[47, 19], Operations: ['61-44=17', '36-17=19'] Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,41 unequal: No Solution Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,41 unequal: No Solution Exploring Operation: 47*19=893, Resulting Numbers: [893] 893,41 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 #0,1,3 Current State: 41:[36, 64], Operations: ['61-44=17', '47+17=64'] Exploring Operation: 36*64=2304, Resulting Numbers: [2304] 2304,41 unequal: No Solution Exploring Operation: 36+64=100, Resulting Numbers: [100] 100,41 unequal: No Solution Exploring Operation: 64-36=28, Resulting Numbers: [28] 28,41 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: 41:[44, 61, 11], Operations: ['47-36=11'] Exploring Operation: 61-11=50, Resulting Numbers: [44, 50] Generated Node #0,0,0: 41:[44, 50] Operation: 61-11=50 Exploring Operation: 61+11=72, Resulting Numbers: [44, 72] Generated Node #0,0,1: 41:[44, 72] Operation: 61+11=72 Exploring Operation: 44+11=55, Resulting Numbers: [61, 55] Generated Node #0,0,2: 41:[61, 55] Operation: 44+11=55 Exploring Operation: 44-11=33, Resulting Numbers: [61, 33] Generated Node #0,0,3: 41:[61, 33] Operation: 44-11=33 Moving to Node #0,0,0 Current State: 41:[44, 50], Operations: ['47-36=11', '61-11=50'] Exploring Operation: 44+50=94, Resulting Numbers: [94] 94,41 unequal: No Solution Exploring Operation: 44*50=2200, Resulting Numbers: [2200] 2200,41 unequal: No Solution Exploring Operation: 50-44=6, Resulting Numbers: [6] 6,41 unequal: No Solution Moving to Node #0,3,2 Current State: 41:[44, 22], Operations: ['61-36=25', '47-25=22'] Exploring Operation: 44/22=2, Resulting Numbers: [2] 2,41 unequal: No Solution Exploring Operation: 44-22=22, Resulting Numbers: [22] 22,41 unequal: No Solution Exploring Operation: 44+22=66, Resulting Numbers: [66] 66,41 unequal: No Solution Exploring Operation: 44*22=968, Resulting Numbers: [968] 968,41 unequal: No Solution Moving to Node #0,0,3 Current State: 41:[61, 33], Operations: ['47-36=11', '44-11=33'] Exploring Operation: 61-33=28, Resulting Numbers: [28] 28,41 unequal: No Solution Exploring Operation: 61+33=94, Resulting Numbers: [94] 94,41 unequal: No Solution Exploring Operation: 61*33=2013, Resulting Numbers: [2013] 2013,41 unequal: No Solution Moving to Node #0,3,0 Current State: 41:[47, 19], Operations: ['61-36=25', '44-25=19'] Exploring Operation: 47-19=28, Resulting Numbers: [28] 28,41 unequal: No Solution Exploring Operation: 47*19=893, Resulting Numbers: [893] 893,41 unequal: No Solution Exploring Operation: 47+19=66, Resulting Numbers: [66] 66,41 unequal: No Solution Moving to Node #0,3,1 Current State: 41:[44, 72], Operations: ['61-36=25', '47+25=72'] Exploring Operation: 72-44=28, Resulting Numbers: [28] 28,41 unequal: No Solution Exploring Operation: 44*72=3168, Resulting Numbers: [3168] 3168,41 unequal: No Solution Exploring Operation: 44+72=116, Resulting Numbers: [116] 116,41 unequal: No Solution Moving to Node #0,0,1 Current State: 41:[44, 72], Operations: ['47-36=11', '61+11=72'] Exploring Operation: 44*72=3168, Resulting Numbers: [3168] 3168,41 unequal: No Solution Exploring Operation: 44+72=116, Resulting Numbers: [116] 116,41 unequal: No Solution Exploring Operation: 72-44=28, Resulting Numbers: [28] 28,41 unequal: No Solution Moving to Node #0,0,2 Current State: 41:[61, 55], Operations: ['47-36=11', '44+11=55'] Exploring Operation: 61-55=6, Resulting Numbers: [6] 6,41 unequal: No Solution Exploring Operation: 61+55=116, Resulting Numbers: [116] 116,41 unequal: No Solution Exploring Operation: 61*55=3355, Resulting Numbers: [3355] 3355,41 unequal: No Solution Moving to Node #0,3,3 Current State: 41:[47, 69], Operations: ['61-36=25', '44+25=69'] Exploring Operation: 47*69=3243, Resulting Numbers: [3243] 3243,41 unequal: No Solution Exploring Operation: 69-47=22, Resulting Numbers: [22] 22,41 unequal: No Solution Exploring Operation: 47+69=116, Resulting Numbers: [116] 116,41 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 4, 84, 9, 12 ]
29
[ "4*9=36", "84/12=7", "36-7=29" ]
Current State: 29:[4, 84, 9, 12], Operations: [] Exploring Operation: 4*9=36, Resulting Numbers: [84, 12, 36] Generated Node #2: [84, 12, 36] from Operation: 4*9=36 Current State: 29:[84, 12, 36], Operations: ['4*9=36'] Exploring Operation: 84/12=7, Resulting Numbers: [36, 7] Generated Node #3: [36, 7] from Operation: 84/12=7 Current State: 29:[36, 7], Operations: ['4*9=36', '84/12=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[4, 84, 9, 12], Operations: [] Exploring Operation: 84-4=80, Resulting Numbers: [9, 12, 80] Generated Node #0,0: 29:[9, 12, 80] Operation: 84-4=80 Exploring Operation: 84/4=21, Resulting Numbers: [9, 12, 21] Generated Node #0,1: 29:[9, 12, 21] Operation: 84/4=21 Exploring Operation: 84/12=7, Resulting Numbers: [4, 9, 7] Generated Node #0,2: 29:[4, 9, 7] Operation: 84/12=7 Exploring Operation: 4+9=13, Resulting Numbers: [84, 12, 13] Generated Node #0,3: 29:[84, 12, 13] Operation: 4+9=13 Exploring Operation: 4*9=36, Resulting Numbers: [84, 12, 36] Generated Node #0,4: 29:[84, 12, 36] Operation: 4*9=36 Moving to Node #0,1 Current State: 29:[9, 12, 21], Operations: ['84/4=21'] Exploring Operation: 9+12=21, Resulting Numbers: [21, 21] Generated Node #0,1,0: 29:[21, 21] Operation: 9+12=21 Exploring Operation: 9+21=30, Resulting Numbers: [12, 30] Generated Node #0,1,1: 29:[12, 30] Operation: 9+21=30 Exploring Operation: 21-9=12, Resulting Numbers: [12, 12] Generated Node #0,1,2: 29:[12, 12] Operation: 21-9=12 Exploring Operation: 12-9=3, Resulting Numbers: [21, 3] Generated Node #0,1,3: 29:[21, 3] Operation: 12-9=3 Exploring Operation: 12+21=33, Resulting Numbers: [9, 33] Generated Node #0,1,4: 29:[9, 33] Operation: 12+21=33 Moving to Node #0,2 Current State: 29:[4, 9, 7], Operations: ['84/12=7'] Exploring Operation: 4+9=13, Resulting Numbers: [7, 13] Generated Node #0,2,0: 29:[7, 13] Operation: 4+9=13 Exploring Operation: 4+7=11, Resulting Numbers: [9, 11] Generated Node #0,2,1: 29:[9, 11] Operation: 4+7=11 Exploring Operation: 4*9=36, Resulting Numbers: [7, 36] Generated Node #0,2,2: 29:[7, 36] Operation: 4*9=36 Exploring Operation: 9+7=16, Resulting Numbers: [4, 16] Generated Node #0,2,3: 29:[4, 16] Operation: 9+7=16 Exploring Operation: 4*7=28, Resulting Numbers: [9, 28] Generated Node #0,2,4: 29:[9, 28] Operation: 4*7=28 Moving to Node #0,4 Current State: 29:[84, 12, 36], Operations: ['4*9=36'] Exploring Operation: 84-36=48, Resulting Numbers: [12, 48] Generated Node #0,4,0: 29:[12, 48] Operation: 84-36=48 Exploring Operation: 36-12=24, Resulting Numbers: [84, 24] Generated Node #0,4,1: 29:[84, 24] Operation: 36-12=24 Exploring Operation: 84-12=72, Resulting Numbers: [36, 72] Generated Node #0,4,2: 29:[36, 72] Operation: 84-12=72 Exploring Operation: 84+12=96, Resulting Numbers: [36, 96] Generated Node #0,4,3: 29:[36, 96] Operation: 84+12=96 Exploring Operation: 84/12=7, Resulting Numbers: [36, 7] Generated Node #0,4,4: 29:[36, 7] Operation: 84/12=7 Moving to Node #0,0 Current State: 29:[9, 12, 80], Operations: ['84-4=80'] Exploring Operation: 9+80=89, Resulting Numbers: [12, 89] Generated Node #0,0,0: 29:[12, 89] Operation: 9+80=89 Exploring Operation: 80-12=68, Resulting Numbers: [9, 68] Generated Node #0,0,1: 29:[9, 68] Operation: 80-12=68 Exploring Operation: 80-9=71, Resulting Numbers: [12, 71] Generated Node #0,0,2: 29:[12, 71] Operation: 80-9=71 Exploring Operation: 9+12=21, Resulting Numbers: [80, 21] Generated Node #0,0,3: 29:[80, 21] Operation: 9+12=21 Exploring Operation: 12-9=3, Resulting Numbers: [80, 3] Generated Node #0,0,4: 29:[80, 3] Operation: 12-9=3 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 29:[9, 68], Operations: ['84-4=80', '80-12=68'] Exploring Operation: 68-9=59, Resulting Numbers: [59] 59,29 unequal: No Solution Exploring Operation: 9+68=77, Resulting Numbers: [77] 77,29 unequal: No Solution Exploring Operation: 9*68=612, Resulting Numbers: [612] 612,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 29:[12, 71], Operations: ['84-4=80', '80-9=71'] Exploring Operation: 12*71=852, Resulting Numbers: [852] 852,29 unequal: No Solution Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,29 unequal: No Solution Exploring Operation: 12+71=83, Resulting Numbers: [83] 83,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 29:[80, 21], Operations: ['84-4=80', '9+12=21'] Exploring Operation: 80*21=1680, Resulting Numbers: [1680] 1680,29 unequal: No Solution Exploring Operation: 80+21=101, Resulting Numbers: [101] 101,29 unequal: No Solution Exploring Operation: 80-21=59, Resulting Numbers: [59] 59,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 29:[12, 89], Operations: ['84-4=80', '9+80=89'] Exploring Operation: 12*89=1068, Resulting Numbers: [1068] 1068,29 unequal: No Solution Exploring Operation: 89-12=77, Resulting Numbers: [77] 77,29 unequal: No Solution Exploring Operation: 12+89=101, Resulting Numbers: [101] 101,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 29:[80, 3], Operations: ['84-4=80', '12-9=3'] Exploring Operation: 80-3=77, Resulting Numbers: [77] 77,29 unequal: No Solution Exploring Operation: 80+3=83, Resulting Numbers: [83] 83,29 unequal: No Solution Exploring Operation: 80*3=240, Resulting Numbers: [240] 240,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 29:[84, 12, 13], Operations: ['4+9=13'] Exploring Operation: 12+13=25, Resulting Numbers: [84, 25] Generated Node #0,3,0: 29:[84, 25] Operation: 12+13=25 Exploring Operation: 84/12=7, Resulting Numbers: [13, 7] Generated Node #0,3,1: 29:[13, 7] Operation: 84/12=7 Exploring Operation: 84-12=72, Resulting Numbers: [13, 72] Generated Node #0,3,2: 29:[13, 72] Operation: 84-12=72 Exploring Operation: 84+12=96, Resulting Numbers: [13, 96] Generated Node #0,3,3: 29:[13, 96] Operation: 84+12=96 Exploring Operation: 84-13=71, Resulting Numbers: [12, 71] Generated Node #0,3,4: 29:[12, 71] Operation: 84-13=71 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 29:[13, 7], Operations: ['4+9=13', '84/12=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,29 unequal: No Solution Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,29 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 29:[84, 25], Operations: ['4+9=13', '12+13=25'] Exploring Operation: 84*25=2100, Resulting Numbers: [2100] 2100,29 unequal: No Solution Exploring Operation: 84+25=109, Resulting Numbers: [109] 109,29 unequal: No Solution Exploring Operation: 84-25=59, Resulting Numbers: [59] 59,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 29:[13, 72], Operations: ['4+9=13', '84-12=72'] Exploring Operation: 13+72=85, Resulting Numbers: [85] 85,29 unequal: No Solution Exploring Operation: 13*72=936, Resulting Numbers: [936] 936,29 unequal: No Solution Exploring Operation: 72-13=59, Resulting Numbers: [59] 59,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 29:[12, 71], Operations: ['4+9=13', '84-13=71'] Exploring Operation: 12+71=83, Resulting Numbers: [83] 83,29 unequal: No Solution Exploring Operation: 12*71=852, Resulting Numbers: [852] 852,29 unequal: No Solution Exploring Operation: 71-12=59, Resulting Numbers: [59] 59,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 29:[13, 96], Operations: ['4+9=13', '84+12=96'] Exploring Operation: 13*96=1248, Resulting Numbers: [1248] 1248,29 unequal: No Solution Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,29 unequal: No Solution Exploring Operation: 13+96=109, Resulting Numbers: [109] 109,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,0 Current State: 29:[21, 21], Operations: ['84/4=21', '9+12=21'] Exploring Operation: 21/21=1, Resulting Numbers: [1] 1,29 unequal: No Solution Exploring Operation: 21-21=0, Resulting Numbers: [0] 0,29 unequal: No Solution Exploring Operation: 21+21=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 21*21=441, Resulting Numbers: [441] 441,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[12, 30], Operations: ['84/4=21', '9+21=30'] Exploring Operation: 30-12=18, Resulting Numbers: [18] 18,29 unequal: No Solution Exploring Operation: 12*30=360, Resulting Numbers: [360] 360,29 unequal: No Solution Exploring Operation: 12+30=42, Resulting Numbers: [42] 42,29 unequal: No Solution Moving to Node #0,2,4 Current State: 29:[9, 28], Operations: ['84/12=7', '4*7=28'] Exploring Operation: 9*28=252, Resulting Numbers: [252] 252,29 unequal: No Solution Exploring Operation: 9+28=37, Resulting Numbers: [37] 37,29 unequal: No Solution Exploring Operation: 28-9=19, Resulting Numbers: [19] 19,29 unequal: No Solution Moving to Node #0,1,4 Current State: 29:[9, 33], Operations: ['84/4=21', '12+21=33'] Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,29 unequal: No Solution Exploring Operation: 9+33=42, Resulting Numbers: [42] 42,29 unequal: No Solution Exploring Operation: 9*33=297, Resulting Numbers: [297] 297,29 unequal: No Solution Moving to Node #0,2,2 Current State: 29:[7, 36], Operations: ['84/12=7', '4*9=36'] Exploring Operation: 7*36=252, Resulting Numbers: [252] 252,29 unequal: No Solution Exploring Operation: 7+36=43, Resulting Numbers: [43] 43,29 unequal: No Solution Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached Moving to Node #0 Current State: 29:[4, 84, 9, 12], Operations: [] Exploring Operation: 84/12=7, Resulting Numbers: [4, 9, 7] Generated Node #0,2: 29:[4, 9, 7] Operation: 84/12=7 Moving to Node #0,2 Current State: 29:[4, 9, 7], Operations: ['84/12=7'] Exploring Operation: 4*9=36, Resulting Numbers: [7, 36] Generated Node #0,2,2: 29:[7, 36] Operation: 4*9=36 Moving to Node #0,2,2 Current State: 29:[7, 36], Operations: ['84/12=7', '4*9=36'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
0.930556
hs_5
sum_heuristic
[ 14, 31, 61, 77 ]
61
[ "14+31=45", "77-61=16", "45+16=61" ]
Current State: 61:[14, 31, 61, 77], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [61, 77, 45] Generated Node #2: [61, 77, 45] from Operation: 14+31=45 Current State: 61:[61, 77, 45], Operations: ['14+31=45'] Exploring Operation: 77-61=16, Resulting Numbers: [45, 16] Generated Node #3: [45, 16] from Operation: 77-61=16 Current State: 61:[45, 16], Operations: ['14+31=45', '77-61=16'] Exploring Operation: 45+16=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[14, 31, 61, 77], Operations: [] Exploring Operation: 31-14=17, Resulting Numbers: [61, 77, 17] Generated Node #0,0: 61:[61, 77, 17] Operation: 31-14=17 Exploring Operation: 77-14=63, Resulting Numbers: [31, 61, 63] Generated Node #0,1: 61:[31, 61, 63] Operation: 77-14=63 Exploring Operation: 61-14=47, Resulting Numbers: [31, 77, 47] Generated Node #0,2: 61:[31, 77, 47] Operation: 61-14=47 Exploring Operation: 14+31=45, Resulting Numbers: [61, 77, 45] Generated Node #0,3: 61:[61, 77, 45] Operation: 14+31=45 Exploring Operation: 14+61=75, Resulting Numbers: [31, 77, 75] Generated Node #0,4: 61:[31, 77, 75] Operation: 14+61=75 Start Sub Search at level 1: Moving to Node #0,1 Current State: 61:[31, 61, 63], Operations: ['77-14=63'] Exploring Operation: 63-31=32, Resulting Numbers: [61, 32] Generated Node #0,1,0: 61:[61, 32] Operation: 63-31=32 Exploring Operation: 31+63=94, Resulting Numbers: [61, 94] Generated Node #0,1,1: 61:[61, 94] Operation: 31+63=94 Exploring Operation: 31+61=92, Resulting Numbers: [63, 92] Generated Node #0,1,2: 61:[63, 92] Operation: 31+61=92 Exploring Operation: 63-61=2, Resulting Numbers: [31, 2] Generated Node #0,1,3: 61:[31, 2] Operation: 63-61=2 Exploring Operation: 61-31=30, Resulting Numbers: [63, 30] Generated Node #0,1,4: 61:[63, 30] Operation: 61-31=30 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 61:[61, 32], Operations: ['77-14=63', '63-31=32'] Exploring Operation: 61-32=29, Resulting Numbers: [29] 29,61 unequal: No Solution Exploring Operation: 61*32=1952, Resulting Numbers: [1952] 1952,61 unequal: No Solution Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,61 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:[61, 94], Operations: ['77-14=63', '31+63=94'] Exploring Operation: 94-61=33, Resulting Numbers: [33] 33,61 unequal: No Solution Exploring Operation: 61+94=155, Resulting Numbers: [155] 155,61 unequal: No Solution Exploring Operation: 61*94=5734, Resulting Numbers: [5734] 5734,61 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 #0,1,2 Current State: 61:[63, 92], Operations: ['77-14=63', '31+61=92'] Exploring Operation: 92-63=29, Resulting Numbers: [29] 29,61 unequal: No Solution Exploring Operation: 63*92=5796, Resulting Numbers: [5796] 5796,61 unequal: No Solution Exploring Operation: 63+92=155, Resulting Numbers: [155] 155,61 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 #0,1,4 Current State: 61:[63, 30], Operations: ['77-14=63', '61-31=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,61 unequal: No Solution Exploring Operation: 63+30=93, Resulting Numbers: [93] 93,61 unequal: No Solution Exploring Operation: 63*30=1890, Resulting Numbers: [1890] 1890,61 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 #0,1,3 Current State: 61:[31, 2], Operations: ['77-14=63', '63-61=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,61 unequal: No Solution Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,61 unequal: No Solution Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,61 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 #0,3 Current State: 61:[61, 77, 45], Operations: ['14+31=45'] Exploring Operation: 61+45=106, Resulting Numbers: [77, 106] Generated Node #0,3,0: 61:[77, 106] Operation: 61+45=106 Exploring Operation: 77-45=32, Resulting Numbers: [61, 32] Generated Node #0,3,1: 61:[61, 32] Operation: 77-45=32 Exploring Operation: 77+45=122, Resulting Numbers: [61, 122] Generated Node #0,3,2: 61:[61, 122] Operation: 77+45=122 Exploring Operation: 77-61=16, Resulting Numbers: [45, 16] Generated Node #0,3,3: 61:[45, 16] Operation: 77-61=16 Exploring Operation: 61-45=16, Resulting Numbers: [77, 16] Generated Node #0,3,4: 61:[77, 16] Operation: 61-45=16 Moving to Node #0,3,1 Current State: 61:[61, 32], Operations: ['14+31=45', '77-45=32'] Exploring Operation: 61-32=29, Resulting Numbers: [29] 29,61 unequal: No Solution Exploring Operation: 61*32=1952, Resulting Numbers: [1952] 1952,61 unequal: No Solution Exploring Operation: 61+32=93, Resulting Numbers: [93] 93,61 unequal: No Solution Moving to Node #0,3,2 Current State: 61:[61, 122], Operations: ['14+31=45', '77+45=122'] Exploring Operation: 61+122=183, Resulting Numbers: [183] 183,61 unequal: No Solution Exploring Operation: 61*122=7442, Resulting Numbers: [7442] 7442,61 unequal: No Solution Exploring Operation: 122/61=2, Resulting Numbers: [2] 2,61 unequal: No Solution Exploring Operation: 122-61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[14, 31, 61, 77], Operations: [] Exploring Operation: 14+31=45, Resulting Numbers: [61, 77, 45] Generated Node #0,3: 61:[61, 77, 45] Operation: 14+31=45 Moving to Node #0,3 Current State: 61:[61, 77, 45], Operations: ['14+31=45'] Exploring Operation: 77+45=122, Resulting Numbers: [61, 122] Generated Node #0,3,2: 61:[61, 122] Operation: 77+45=122 Moving to Node #0,3,2 Current State: 61:[61, 122], Operations: ['14+31=45', '77+45=122'] Exploring Operation: 122-61=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 1
0.96441
hs_5
mult_heuristic
[ 53, 63, 8, 11 ]
79
[ "53*11=583", "63*8=504", "583-504=79" ]
Current State: 79:[53, 63, 8, 11], Operations: [] Exploring Operation: 53*11=583, Resulting Numbers: [63, 8, 583] Generated Node #2: [63, 8, 583] from Operation: 53*11=583 Current State: 79:[63, 8, 583], Operations: ['53*11=583'] Exploring Operation: 63*8=504, Resulting Numbers: [583, 504] Generated Node #3: [583, 504] from Operation: 63*8=504 Current State: 79:[583, 504], Operations: ['53*11=583', '63*8=504'] Exploring Operation: 583-504=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[53, 63, 8, 11], Operations: [] Exploring Operation: 8*11=88, Resulting Numbers: [53, 63, 88] Generated Node #0,0: 79:[53, 63, 88] Operation: 8*11=88 Exploring Operation: 53+11=64, Resulting Numbers: [63, 8, 64] Generated Node #0,1: 79:[63, 8, 64] Operation: 53+11=64 Exploring Operation: 63+11=74, Resulting Numbers: [53, 8, 74] Generated Node #0,2: 79:[53, 8, 74] Operation: 63+11=74 Exploring Operation: 63+8=71, Resulting Numbers: [53, 11, 71] Generated Node #0,3: 79:[53, 11, 71] Operation: 63+8=71 Exploring Operation: 53+8=61, Resulting Numbers: [63, 11, 61] Generated Node #0,4: 79:[63, 11, 61] Operation: 53+8=61 Moving to Node #0,0 Current State: 79:[53, 63, 88], Operations: ['8*11=88'] Exploring Operation: 88-63=25, Resulting Numbers: [53, 25] Generated Node #0,0,0: 79:[53, 25] Operation: 88-63=25 Exploring Operation: 53+88=141, Resulting Numbers: [63, 141] Generated Node #0,0,1: 79:[63, 141] Operation: 53+88=141 Exploring Operation: 53+63=116, Resulting Numbers: [88, 116] Generated Node #0,0,2: 79:[88, 116] Operation: 53+63=116 Exploring Operation: 88-53=35, Resulting Numbers: [63, 35] Generated Node #0,0,3: 79:[63, 35] Operation: 88-53=35 Exploring Operation: 63-53=10, Resulting Numbers: [88, 10] Generated Node #0,0,4: 79:[88, 10] Operation: 63-53=10 Moving to Node #0,2 Current State: 79:[53, 8, 74], Operations: ['63+11=74'] Exploring Operation: 8+74=82, Resulting Numbers: [53, 82] Generated Node #0,2,0: 79:[53, 82] Operation: 8+74=82 Exploring Operation: 53-8=45, Resulting Numbers: [74, 45] Generated Node #0,2,1: 79:[74, 45] Operation: 53-8=45 Exploring Operation: 53+8=61, Resulting Numbers: [74, 61] Generated Node #0,2,2: 79:[74, 61] Operation: 53+8=61 Exploring Operation: 74-8=66, Resulting Numbers: [53, 66] Generated Node #0,2,3: 79:[53, 66] Operation: 74-8=66 Exploring Operation: 53+74=127, Resulting Numbers: [8, 127] Generated Node #0,2,4: 79:[8, 127] Operation: 53+74=127 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 79:[74, 61], Operations: ['63+11=74', '53+8=61'] Exploring Operation: 74*61=4514, Resulting Numbers: [4514] 4514,79 unequal: No Solution Exploring Operation: 74+61=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,79 unequal: No Solution No 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: 79:[53, 82], Operations: ['63+11=74', '8+74=82'] Exploring Operation: 82-53=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 53+82=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 53*82=4346, Resulting Numbers: [4346] 4346,79 unequal: No Solution No 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: 79:[74, 45], Operations: ['63+11=74', '53-8=45'] Exploring Operation: 74+45=119, Resulting Numbers: [119] 119,79 unequal: No Solution Exploring Operation: 74-45=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 74*45=3330, Resulting Numbers: [3330] 3330,79 unequal: No Solution No 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: 79:[53, 66], Operations: ['63+11=74', '74-8=66'] Exploring Operation: 66-53=13, Resulting Numbers: [13] 13,79 unequal: No Solution Exploring Operation: 53*66=3498, Resulting Numbers: [3498] 3498,79 unequal: No Solution Exploring Operation: 53+66=119, Resulting Numbers: [119] 119,79 unequal: No Solution No 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: 79:[8, 127], Operations: ['63+11=74', '53+74=127'] Exploring Operation: 127-8=119, Resulting Numbers: [119] 119,79 unequal: No Solution Exploring Operation: 8*127=1016, Resulting Numbers: [1016] 1016,79 unequal: No Solution Exploring Operation: 8+127=135, Resulting Numbers: [135] 135,79 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: 79:[63, 11, 61], Operations: ['53+8=61'] Exploring Operation: 63+61=124, Resulting Numbers: [11, 124] Generated Node #0,4,0: 79:[11, 124] Operation: 63+61=124 Exploring Operation: 63+11=74, Resulting Numbers: [61, 74] Generated Node #0,4,1: 79:[61, 74] Operation: 63+11=74 Exploring Operation: 11+61=72, Resulting Numbers: [63, 72] Generated Node #0,4,2: 79:[63, 72] Operation: 11+61=72 Exploring Operation: 61-11=50, Resulting Numbers: [63, 50] Generated Node #0,4,3: 79:[63, 50] Operation: 61-11=50 Exploring Operation: 63-11=52, Resulting Numbers: [61, 52] Generated Node #0,4,4: 79:[61, 52] Operation: 63-11=52 Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 79:[61, 74], Operations: ['53+8=61', '63+11=74'] Exploring Operation: 61*74=4514, Resulting Numbers: [4514] 4514,79 unequal: No Solution Exploring Operation: 74-61=13, Resulting Numbers: [13] 13,79 unequal: No Solution Exploring Operation: 61+74=135, Resulting Numbers: [135] 135,79 unequal: No Solution No 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: 79:[63, 72], Operations: ['53+8=61', '11+61=72'] Exploring Operation: 72-63=9, Resulting Numbers: [9] 9,79 unequal: No Solution Exploring Operation: 63*72=4536, Resulting Numbers: [4536] 4536,79 unequal: No Solution Exploring Operation: 63+72=135, Resulting Numbers: [135] 135,79 unequal: No Solution No 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: 79:[63, 50], Operations: ['53+8=61', '61-11=50'] Exploring Operation: 63+50=113, Resulting Numbers: [113] 113,79 unequal: No Solution Exploring Operation: 63*50=3150, Resulting Numbers: [3150] 3150,79 unequal: No Solution Exploring Operation: 63-50=13, Resulting Numbers: [13] 13,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 79:[61, 52], Operations: ['53+8=61', '63-11=52'] Exploring Operation: 61+52=113, Resulting Numbers: [113] 113,79 unequal: No Solution Exploring Operation: 61-52=9, Resulting Numbers: [9] 9,79 unequal: No Solution Exploring Operation: 61*52=3172, Resulting Numbers: [3172] 3172,79 unequal: No Solution No 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: 79:[11, 124], Operations: ['53+8=61', '63+61=124'] Exploring Operation: 11*124=1364, Resulting Numbers: [1364] 1364,79 unequal: No Solution Exploring Operation: 11+124=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 124-11=113, Resulting Numbers: [113] 113,79 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: 79:[63, 8, 64], Operations: ['53+11=64'] Exploring Operation: 64-8=56, Resulting Numbers: [63, 56] Generated Node #0,1,0: 79:[63, 56] Operation: 64-8=56 Exploring Operation: 64/8=8, Resulting Numbers: [63, 8] Generated Node #0,1,1: 79:[63, 8] Operation: 64/8=8 Exploring Operation: 63-8=55, Resulting Numbers: [64, 55] Generated Node #0,1,2: 79:[64, 55] Operation: 63-8=55 Exploring Operation: 8+64=72, Resulting Numbers: [63, 72] Generated Node #0,1,3: 79:[63, 72] Operation: 8+64=72 Exploring Operation: 63+8=71, Resulting Numbers: [64, 71] Generated Node #0,1,4: 79:[64, 71] Operation: 63+8=71 Moving to Node #0,3 Current State: 79:[53, 11, 71], Operations: ['63+8=71'] Exploring Operation: 11+71=82, Resulting Numbers: [53, 82] Generated Node #0,3,0: 79:[53, 82] Operation: 11+71=82 Exploring Operation: 53+71=124, Resulting Numbers: [11, 124] Generated Node #0,3,1: 79:[11, 124] Operation: 53+71=124 Exploring Operation: 53-11=42, Resulting Numbers: [71, 42] Generated Node #0,3,2: 79:[71, 42] Operation: 53-11=42 Exploring Operation: 53+11=64, Resulting Numbers: [71, 64] Generated Node #0,3,3: 79:[71, 64] Operation: 53+11=64 Exploring Operation: 71-11=60, Resulting Numbers: [53, 60] Generated Node #0,3,4: 79:[53, 60] Operation: 71-11=60 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 79:[71, 64], Operations: ['63+8=71', '53+11=64'] Exploring Operation: 71*64=4544, Resulting Numbers: [4544] 4544,79 unequal: No Solution Exploring Operation: 71+64=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 71-64=7, Resulting Numbers: [7] 7,79 unequal: No Solution No 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: 79:[53, 82], Operations: ['63+8=71', '11+71=82'] Exploring Operation: 82-53=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 53+82=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 53*82=4346, Resulting Numbers: [4346] 4346,79 unequal: No Solution No 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: 79:[71, 42], Operations: ['63+8=71', '53-11=42'] Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,79 unequal: No Solution Exploring Operation: 71+42=113, Resulting Numbers: [113] 113,79 unequal: No Solution Exploring Operation: 71*42=2982, Resulting Numbers: [2982] 2982,79 unequal: No Solution No 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: 79:[53, 60], Operations: ['63+8=71', '71-11=60'] Exploring Operation: 53*60=3180, Resulting Numbers: [3180] 3180,79 unequal: No Solution Exploring Operation: 53+60=113, Resulting Numbers: [113] 113,79 unequal: No Solution Exploring Operation: 60-53=7, Resulting Numbers: [7] 7,79 unequal: No Solution No 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: 79:[11, 124], Operations: ['63+8=71', '53+71=124'] Exploring Operation: 124-11=113, Resulting Numbers: [113] 113,79 unequal: No Solution Exploring Operation: 11+124=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 11*124=1364, Resulting Numbers: [1364] 1364,79 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: 79:[63, 72], Operations: ['53+11=64', '8+64=72'] Exploring Operation: 72-63=9, Resulting Numbers: [9] 9,79 unequal: No Solution Exploring Operation: 63+72=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 63*72=4536, Resulting Numbers: [4536] 4536,79 unequal: No Solution Moving to Node #0,1,4 Current State: 79:[64, 71], Operations: ['53+11=64', '63+8=71'] Exploring Operation: 71-64=7, Resulting Numbers: [7] 7,79 unequal: No Solution Exploring Operation: 64+71=135, Resulting Numbers: [135] 135,79 unequal: No Solution Exploring Operation: 64*71=4544, Resulting Numbers: [4544] 4544,79 unequal: No Solution Moving to Node #0,1,0 Current State: 79:[63, 56], Operations: ['53+11=64', '64-8=56'] Exploring Operation: 63+56=119, Resulting Numbers: [119] 119,79 unequal: No Solution Exploring Operation: 63-56=7, Resulting Numbers: [7] 7,79 unequal: No Solution Exploring Operation: 63*56=3528, Resulting Numbers: [3528] 3528,79 unequal: No Solution Moving to Node #0,1,2 Current State: 79:[64, 55], Operations: ['53+11=64', '63-8=55'] Exploring Operation: 64*55=3520, Resulting Numbers: [3520] 3520,79 unequal: No Solution Exploring Operation: 64+55=119, Resulting Numbers: [119] 119,79 unequal: No Solution Exploring Operation: 64-55=9, Resulting Numbers: [9] 9,79 unequal: No Solution Moving to Node #0,0,2 Current State: 79:[88, 116], Operations: ['8*11=88', '53+63=116'] Exploring Operation: 116-88=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 88*116=10208, Resulting Numbers: [10208] 10208,79 unequal: No Solution Exploring Operation: 88+116=204, Resulting Numbers: [204] 204,79 unequal: No Solution Moving to Node #0,0,3 Current State: 79:[63, 35], Operations: ['8*11=88', '88-53=35'] Exploring Operation: 63+35=98, Resulting Numbers: [98] 98,79 unequal: No Solution Exploring Operation: 63-35=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 63*35=2205, Resulting Numbers: [2205] 2205,79 unequal: No Solution Moving to Node #0,0,1 Current State: 79:[63, 141], Operations: ['8*11=88', '53+88=141'] Exploring Operation: 63*141=8883, Resulting Numbers: [8883] 8883,79 unequal: No Solution Exploring Operation: 141-63=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 63+141=204, Resulting Numbers: [204] 204,79 unequal: No Solution Moving to Node #0,0,4 Current State: 79:[88, 10], Operations: ['8*11=88', '63-53=10'] Exploring Operation: 88+10=98, Resulting Numbers: [98] 98,79 unequal: No Solution Exploring Operation: 88-10=78, Resulting Numbers: [78] 78,79 unequal: No Solution Exploring Operation: 88*10=880, Resulting Numbers: [880] 880,79 unequal: No Solution Moving to Node #0,0,0 Current State: 79:[53, 25], Operations: ['8*11=88', '88-63=25'] Exploring Operation: 53*25=1325, Resulting Numbers: [1325] 1325,79 unequal: No Solution Exploring Operation: 53-25=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 53+25=78, Resulting Numbers: [78] 78,79 unequal: No Solution Moving to Node #0,1,1 Current State: 79:[63, 8], Operations: ['53+11=64', '64/8=8'] Exploring Operation: 63*8=504, Resulting Numbers: [504] 504,79 unequal: No Solution Exploring Operation: 63-8=55, Resulting Numbers: [55] 55,79 unequal: No Solution Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,79 unequal: No Solution No solution found.
0
hs_5
sum_heuristic
[ 70, 95, 64, 39 ]
80
[ "70*64=4480", "95-39=56", "4480/56=80" ]
Current State: 80:[70, 95, 64, 39], Operations: [] Exploring Operation: 70*64=4480, Resulting Numbers: [95, 39, 4480] Generated Node #2: [95, 39, 4480] from Operation: 70*64=4480 Current State: 80:[95, 39, 4480], Operations: ['70*64=4480'] Exploring Operation: 95-39=56, Resulting Numbers: [4480, 56] Generated Node #3: [4480, 56] from Operation: 95-39=56 Current State: 80:[4480, 56], Operations: ['70*64=4480', '95-39=56'] Exploring Operation: 4480/56=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[70, 95, 64, 39], Operations: [] Exploring Operation: 95-64=31, Resulting Numbers: [70, 39, 31] Generated Node #0,0: 80:[70, 39, 31] Operation: 95-64=31 Exploring Operation: 70-64=6, Resulting Numbers: [95, 39, 6] Generated Node #0,1: 80:[95, 39, 6] Operation: 70-64=6 Moving to Node #0,1 Current State: 80:[95, 39, 6], Operations: ['70-64=6'] Exploring Operation: 95-6=89, Resulting Numbers: [39, 89] Generated Node #0,1,0: 80:[39, 89] Operation: 95-6=89 Exploring Operation: 95-39=56, Resulting Numbers: [6, 56] Generated Node #0,1,1: 80:[6, 56] Operation: 95-39=56 Moving to Node #0,0 Current State: 80:[70, 39, 31], Operations: ['95-64=31'] Exploring Operation: 70-31=39, Resulting Numbers: [39, 39] Generated Node #0,0,0: 80:[39, 39] Operation: 70-31=39 Exploring Operation: 39-31=8, Resulting Numbers: [70, 8] Generated Node #0,0,1: 80:[70, 8] Operation: 39-31=8 Moving to Node #0,0,0 Current State: 80:[39, 39], Operations: ['95-64=31', '70-31=39'] Exploring Operation: 39+39=78, Resulting Numbers: [78] 78,80 unequal: No Solution Exploring Operation: 39/39=1, Resulting Numbers: [1] 1,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[39, 89], Operations: ['70-64=6', '95-6=89'] Exploring Operation: 39+89=128, Resulting Numbers: [128] 128,80 unequal: No Solution Exploring Operation: 89-39=50, Resulting Numbers: [50] 50,80 unequal: No Solution Moving to Node #0,0,1 Current State: 80:[70, 8], Operations: ['95-64=31', '39-31=8'] Exploring Operation: 70+8=78, Resulting Numbers: [78] 78,80 unequal: No Solution Exploring Operation: 70-8=62, Resulting Numbers: [62] 62,80 unequal: No Solution Moving to Node #0,1,1 Current State: 80:[6, 56], Operations: ['70-64=6', '95-39=56'] Exploring Operation: 56-6=50, Resulting Numbers: [50] 50,80 unequal: No Solution Exploring Operation: 6+56=62, Resulting Numbers: [62] 62,80 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 50, 80, 17, 3 ]
81
[ "80-50=30", "17*3=51", "30+51=81" ]
Current State: 81:[50, 80, 17, 3], Operations: [] Exploring Operation: 80-50=30, Resulting Numbers: [17, 3, 30] Generated Node #2: [17, 3, 30] from Operation: 80-50=30 Current State: 81:[17, 3, 30], Operations: ['80-50=30'] Exploring Operation: 17*3=51, Resulting Numbers: [30, 51] Generated Node #3: [30, 51] from Operation: 17*3=51 Current State: 81:[30, 51], Operations: ['80-50=30', '17*3=51'] Exploring Operation: 30+51=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[50, 80, 17, 3], Operations: [] Exploring Operation: 50-17=33, Resulting Numbers: [80, 3, 33] Generated Node #0,0: 81:[80, 3, 33] Operation: 50-17=33 Exploring Operation: 80-50=30, Resulting Numbers: [17, 3, 30] Generated Node #0,1: 81:[17, 3, 30] Operation: 80-50=30 Exploring Operation: 50+17=67, Resulting Numbers: [80, 3, 67] Generated Node #0,2: 81:[80, 3, 67] Operation: 50+17=67 Start Sub Search at level 1: Moving to Node #0,0 Current State: 81:[80, 3, 33], Operations: ['50-17=33'] Exploring Operation: 33-3=30, Resulting Numbers: [80, 30] Generated Node #0,0,0: 81:[80, 30] Operation: 33-3=30 Exploring Operation: 33/3=11, Resulting Numbers: [80, 11] Generated Node #0,0,1: 81:[80, 11] Operation: 33/3=11 Exploring Operation: 80+3=83, Resulting Numbers: [33, 83] Generated Node #0,0,2: 81:[33, 83] Operation: 80+3=83 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 81:[80, 11], Operations: ['50-17=33', '33/3=11'] Exploring Operation: 80*11=880, Resulting Numbers: [880] 880,81 unequal: No Solution Exploring Operation: 80+11=91, Resulting Numbers: [91] 91,81 unequal: No Solution Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,81 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: 81:[80, 30], Operations: ['50-17=33', '33-3=30'] Exploring Operation: 80+30=110, Resulting Numbers: [110] 110,81 unequal: No Solution Exploring Operation: 80-30=50, Resulting Numbers: [50] 50,81 unequal: No Solution Exploring Operation: 80*30=2400, Resulting Numbers: [2400] 2400,81 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: 81:[33, 83], Operations: ['50-17=33', '80+3=83'] Exploring Operation: 83-33=50, Resulting Numbers: [50] 50,81 unequal: No Solution Exploring Operation: 33+83=116, Resulting Numbers: [116] 116,81 unequal: No Solution Exploring Operation: 33*83=2739, Resulting Numbers: [2739] 2739,81 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: 81:[17, 3, 30], Operations: ['80-50=30'] Exploring Operation: 30-3=27, Resulting Numbers: [17, 27] Generated Node #0,1,0: 81:[17, 27] Operation: 30-3=27 Exploring Operation: 17-3=14, Resulting Numbers: [30, 14] Generated Node #0,1,1: 81:[30, 14] Operation: 17-3=14 Exploring Operation: 30-17=13, Resulting Numbers: [3, 13] Generated Node #0,1,2: 81:[3, 13] Operation: 30-17=13 Moving to Node #0,1,2 Current State: 81:[3, 13], Operations: ['80-50=30', '30-17=13'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,81 unequal: No Solution Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,81 unequal: No Solution Moving to Node #0,1,0 Current State: 81:[17, 27], Operations: ['80-50=30', '30-3=27'] Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,81 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,81 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,81 unequal: No Solution Moving to Node #0,1,1 Current State: 81:[30, 14], Operations: ['80-50=30', '17-3=14'] Exploring Operation: 30-14=16, Resulting Numbers: [16] 16,81 unequal: No Solution Exploring Operation: 30*14=420, Resulting Numbers: [420] 420,81 unequal: No Solution Exploring Operation: 30+14=44, Resulting Numbers: [44] 44,81 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 Current State: 81:[80, 3, 67], Operations: ['50+17=67'] Exploring Operation: 3+67=70, Resulting Numbers: [80, 70] Generated Node #0,2,0: 81:[80, 70] Operation: 3+67=70 Exploring Operation: 80+3=83, Resulting Numbers: [67, 83] Generated Node #0,2,1: 81:[67, 83] Operation: 80+3=83 Exploring Operation: 80-67=13, Resulting Numbers: [3, 13] Generated Node #0,2,2: 81:[3, 13] Operation: 80-67=13 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 81:[3, 13], Operations: ['50+17=67', '80-67=13'] Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,81 unequal: No Solution Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,81 unequal: No Solution Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,81 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: 81:[80, 70], Operations: ['50+17=67', '3+67=70'] Exploring Operation: 80-70=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 80+70=150, Resulting Numbers: [150] 150,81 unequal: No Solution Exploring Operation: 80*70=5600, Resulting Numbers: [5600] 5600,81 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: 81:[67, 83], Operations: ['50+17=67', '80+3=83'] Exploring Operation: 83-67=16, Resulting Numbers: [16] 16,81 unequal: No Solution Exploring Operation: 67*83=5561, Resulting Numbers: [5561] 5561,81 unequal: No Solution Exploring Operation: 67+83=150, Resulting Numbers: [150] 150,81 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
[ 95, 99, 36, 60 ]
51
[ "99-95=4", "36/4=9", "60-9=51" ]
Current State: 51:[95, 99, 36, 60], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [36, 60, 4] Generated Node #2: [36, 60, 4] from Operation: 99-95=4 Current State: 51:[36, 60, 4], Operations: ['99-95=4'] Exploring Operation: 36/4=9, Resulting Numbers: [60, 9] Generated Node #3: [60, 9] from Operation: 36/4=9 Current State: 51:[60, 9], Operations: ['99-95=4', '36/4=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[95, 99, 36, 60], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [36, 60, 4] Generated Node #0,0: 51:[36, 60, 4] Operation: 99-95=4 Exploring Operation: 95-36=59, Resulting Numbers: [99, 60, 59] Generated Node #0,1: 51:[99, 60, 59] Operation: 95-36=59 Moving to Node #0,0 Current State: 51:[36, 60, 4], Operations: ['99-95=4'] Exploring Operation: 60-36=24, Resulting Numbers: [4, 24] Generated Node #0,0,0: 51:[4, 24] Operation: 60-36=24 Exploring Operation: 36/4=9, Resulting Numbers: [60, 9] Generated Node #0,0,1: 51:[60, 9] Operation: 36/4=9 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 51:[4, 24], Operations: ['99-95=4', '60-36=24'] Exploring Operation: 24/4=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 24-4=20, Resulting Numbers: [20] 20,51 unequal: No Solution No 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: 51:[60, 9], Operations: ['99-95=4', '36/4=9'] Exploring Operation: 60+9=69, Resulting Numbers: [69] 69,51 unequal: No Solution Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[95, 99, 36, 60], Operations: [] Exploring Operation: 99-95=4, Resulting Numbers: [36, 60, 4] Generated Node #0,0: 51:[36, 60, 4] Operation: 99-95=4 Moving to Node #0,0 Current State: 51:[36, 60, 4], Operations: ['99-95=4'] Exploring Operation: 36/4=9, Resulting Numbers: [60, 9] Generated Node #0,0,1: 51:[60, 9] Operation: 36/4=9 Moving to Node #0,0,1 Current State: 51:[60, 9], Operations: ['99-95=4', '36/4=9'] Exploring Operation: 60-9=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_2
mult_heuristic
[ 47, 39, 20, 22 ]
16
[ "47-39=8", "22-20=2", "8*2=16" ]
Current State: 16:[47, 39, 20, 22], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [20, 22, 8] Generated Node #2: [20, 22, 8] from Operation: 47-39=8 Current State: 16:[20, 22, 8], Operations: ['47-39=8'] Exploring Operation: 22-20=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 22-20=2 Current State: 16:[8, 2], Operations: ['47-39=8', '22-20=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[47, 39, 20, 22], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [39, 22, 27] Generated Node #0,0: 16:[39, 22, 27] Operation: 47-20=27 Exploring Operation: 47-22=25, Resulting Numbers: [39, 20, 25] Generated Node #0,1: 16:[39, 20, 25] Operation: 47-22=25 Exploring Operation: 39-22=17, Resulting Numbers: [47, 20, 17] Generated Node #0,2: 16:[47, 20, 17] Operation: 39-22=17 Exploring Operation: 39-20=19, Resulting Numbers: [47, 22, 19] Generated Node #0,3: 16:[47, 22, 19] Operation: 39-20=19 Exploring Operation: 47-39=8, Resulting Numbers: [20, 22, 8] Generated Node #0,4: 16:[20, 22, 8] Operation: 47-39=8 Moving to Node #0,4 Current State: 16:[20, 22, 8], Operations: ['47-39=8'] Exploring Operation: 20-8=12, Resulting Numbers: [22, 12] Generated Node #0,4,0: 16:[22, 12] Operation: 20-8=12 Exploring Operation: 22+8=30, Resulting Numbers: [20, 30] Generated Node #0,4,1: 16:[20, 30] Operation: 22+8=30 Exploring Operation: 20+8=28, Resulting Numbers: [22, 28] Generated Node #0,4,2: 16:[22, 28] Operation: 20+8=28 Exploring Operation: 22-20=2, Resulting Numbers: [8, 2] Generated Node #0,4,3: 16:[8, 2] Operation: 22-20=2 Exploring Operation: 22-8=14, Resulting Numbers: [20, 14] Generated Node #0,4,4: 16:[20, 14] Operation: 22-8=14 Moving to Node #0,2 Current State: 16:[47, 20, 17], Operations: ['39-22=17'] Exploring Operation: 47+20=67, Resulting Numbers: [17, 67] Generated Node #0,2,0: 16:[17, 67] Operation: 47+20=67 Exploring Operation: 47+17=64, Resulting Numbers: [20, 64] Generated Node #0,2,1: 16:[20, 64] Operation: 47+17=64 Exploring Operation: 47-20=27, Resulting Numbers: [17, 27] Generated Node #0,2,2: 16:[17, 27] Operation: 47-20=27 Exploring Operation: 47-17=30, Resulting Numbers: [20, 30] Generated Node #0,2,3: 16:[20, 30] Operation: 47-17=30 Exploring Operation: 20-17=3, Resulting Numbers: [47, 3] Generated Node #0,2,4: 16:[47, 3] Operation: 20-17=3 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 16:[17, 27], Operations: ['39-22=17', '47-20=27'] Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,16 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,16 unequal: No Solution Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,16 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:[20, 30], Operations: ['39-22=17', '47-17=30'] Exploring Operation: 30-20=10, Resulting Numbers: [10] 10,16 unequal: No Solution Exploring Operation: 20+30=50, Resulting Numbers: [50] 50,16 unequal: No Solution Exploring Operation: 20*30=600, Resulting Numbers: [600] 600,16 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:[47, 3], Operations: ['39-22=17', '20-17=3'] Exploring Operation: 47+3=50, Resulting Numbers: [50] 50,16 unequal: No Solution Exploring Operation: 47-3=44, Resulting Numbers: [44] 44,16 unequal: No Solution Exploring Operation: 47*3=141, Resulting Numbers: [141] 141,16 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:[17, 67], Operations: ['39-22=17', '47+20=67'] Exploring Operation: 17+67=84, Resulting Numbers: [84] 84,16 unequal: No Solution Exploring Operation: 17*67=1139, Resulting Numbers: [1139] 1139,16 unequal: No Solution Exploring Operation: 67-17=50, Resulting Numbers: [50] 50,16 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:[20, 64], Operations: ['39-22=17', '47+17=64'] Exploring Operation: 20+64=84, Resulting Numbers: [84] 84,16 unequal: No Solution Exploring Operation: 20*64=1280, Resulting Numbers: [1280] 1280,16 unequal: No Solution Exploring Operation: 64-20=44, Resulting Numbers: [44] 44,16 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:[39, 20, 25], Operations: ['47-22=25'] Exploring Operation: 39-20=19, Resulting Numbers: [25, 19] Generated Node #0,1,0: 16:[25, 19] Operation: 39-20=19 Exploring Operation: 39+25=64, Resulting Numbers: [20, 64] Generated Node #0,1,1: 16:[20, 64] Operation: 39+25=64 Exploring Operation: 25-20=5, Resulting Numbers: [39, 5] Generated Node #0,1,2: 16:[39, 5] Operation: 25-20=5 Exploring Operation: 39-25=14, Resulting Numbers: [20, 14] Generated Node #0,1,3: 16:[20, 14] Operation: 39-25=14 Exploring Operation: 39+20=59, Resulting Numbers: [25, 59] Generated Node #0,1,4: 16:[25, 59] Operation: 39+20=59 Moving to Node #0,0 Current State: 16:[39, 22, 27], Operations: ['47-20=27'] Exploring Operation: 39-27=12, Resulting Numbers: [22, 12] Generated Node #0,0,0: 16:[22, 12] Operation: 39-27=12 Exploring Operation: 39-22=17, Resulting Numbers: [27, 17] Generated Node #0,0,1: 16:[27, 17] Operation: 39-22=17 Exploring Operation: 39+27=66, Resulting Numbers: [22, 66] Generated Node #0,0,2: 16:[22, 66] Operation: 39+27=66 Exploring Operation: 27-22=5, Resulting Numbers: [39, 5] Generated Node #0,0,3: 16:[39, 5] Operation: 27-22=5 Exploring Operation: 39+22=61, Resulting Numbers: [27, 61] Generated Node #0,0,4: 16:[27, 61] Operation: 39+22=61 Moving to Node #0,3 Current State: 16:[47, 22, 19], Operations: ['39-20=19'] Exploring Operation: 47+19=66, Resulting Numbers: [22, 66] Generated Node #0,3,0: 16:[22, 66] Operation: 47+19=66 Exploring Operation: 47-22=25, Resulting Numbers: [19, 25] Generated Node #0,3,1: 16:[19, 25] Operation: 47-22=25 Exploring Operation: 47-19=28, Resulting Numbers: [22, 28] Generated Node #0,3,2: 16:[22, 28] Operation: 47-19=28 Exploring Operation: 47+22=69, Resulting Numbers: [19, 69] Generated Node #0,3,3: 16:[19, 69] Operation: 47+22=69 Exploring Operation: 22-19=3, Resulting Numbers: [47, 3] Generated Node #0,3,4: 16:[47, 3] Operation: 22-19=3 Moving to Node #0,4,3 Current State: 16:[8, 2], Operations: ['47-39=8', '22-20=2'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,16 unequal: No Solution Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,16 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,16 unequal: No Solution Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached Moving to Node #0 Current State: 16:[47, 39, 20, 22], Operations: [] Exploring Operation: 47-39=8, Resulting Numbers: [20, 22, 8] Generated Node #0,4: 16:[20, 22, 8] Operation: 47-39=8 Moving to Node #0,4 Current State: 16:[20, 22, 8], Operations: ['47-39=8'] Exploring Operation: 22-20=2, Resulting Numbers: [8, 2] Generated Node #0,4,3: 16:[8, 2] Operation: 22-20=2 Moving to Node #0,4,3 Current State: 16:[8, 2], Operations: ['47-39=8', '22-20=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
0.953993
hs_5
sum_heuristic
[ 55, 27, 50, 37 ]
59
[ "55-27=28", "50+37=87", "87-28=59" ]
Current State: 59:[55, 27, 50, 37], Operations: [] Exploring Operation: 55-27=28, Resulting Numbers: [50, 37, 28] Generated Node #2: [50, 37, 28] from Operation: 55-27=28 Current State: 59:[50, 37, 28], Operations: ['55-27=28'] Exploring Operation: 50+37=87, Resulting Numbers: [28, 87] Generated Node #3: [28, 87] from Operation: 50+37=87 Current State: 59:[28, 87], Operations: ['55-27=28', '50+37=87'] Exploring Operation: 87-28=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[55, 27, 50, 37], Operations: [] Exploring Operation: 27+37=64, Resulting Numbers: [55, 50, 64] Generated Node #0,0: 59:[55, 50, 64] Operation: 27+37=64 Exploring Operation: 55+27=82, Resulting Numbers: [50, 37, 82] Generated Node #0,1: 59:[50, 37, 82] Operation: 55+27=82 Exploring Operation: 27+50=77, Resulting Numbers: [55, 37, 77] Generated Node #0,2: 59:[55, 37, 77] Operation: 27+50=77 Moving to Node #0,0 Current State: 59:[55, 50, 64], Operations: ['27+37=64'] Exploring Operation: 55+50=105, Resulting Numbers: [64, 105] Generated Node #0,0,0: 59:[64, 105] Operation: 55+50=105 Exploring Operation: 55-50=5, Resulting Numbers: [64, 5] Generated Node #0,0,1: 59:[64, 5] Operation: 55-50=5 Exploring Operation: 64-50=14, Resulting Numbers: [55, 14] Generated Node #0,0,2: 59:[55, 14] Operation: 64-50=14 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 59:[55, 14], Operations: ['27+37=64', '64-50=14'] Exploring Operation: 55+14=69, Resulting Numbers: [69] 69,59 unequal: No Solution Exploring Operation: 55-14=41, Resulting Numbers: [41] 41,59 unequal: No Solution Exploring Operation: 55*14=770, Resulting Numbers: [770] 770,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 59:[64, 105], Operations: ['27+37=64', '55+50=105'] Exploring Operation: 64+105=169, Resulting Numbers: [169] 169,59 unequal: No Solution Exploring Operation: 64*105=6720, Resulting Numbers: [6720] 6720,59 unequal: No Solution Exploring Operation: 105-64=41, Resulting Numbers: [41] 41,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 59:[64, 5], Operations: ['27+37=64', '55-50=5'] Exploring Operation: 64+5=69, Resulting Numbers: [69] 69,59 unequal: No Solution Exploring Operation: 64*5=320, Resulting Numbers: [320] 320,59 unequal: No Solution Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Moving to Node #0 Current State: 59:[55, 27, 50, 37], Operations: [] Exploring Operation: 27+37=64, Resulting Numbers: [55, 50, 64] Generated Node #0,0: 59:[55, 50, 64] Operation: 27+37=64 Moving to Node #0,0 Current State: 59:[55, 50, 64], Operations: ['27+37=64'] Exploring Operation: 55-50=5, Resulting Numbers: [64, 5] Generated Node #0,0,1: 59:[64, 5] Operation: 55-50=5 Moving to Node #0,0,1 Current State: 59:[64, 5], Operations: ['27+37=64', '55-50=5'] Exploring Operation: 64-5=59, Resulting Numbers: [59] 59,59 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
sum_heuristic
[ 76, 35, 88, 33 ]
100
[ "35-33=2", "88*2=176", "176-76=100" ]
Current State: 100:[76, 35, 88, 33], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [76, 88, 2] Generated Node #2: [76, 88, 2] from Operation: 35-33=2 Current State: 100:[76, 88, 2], Operations: ['35-33=2'] Exploring Operation: 88*2=176, Resulting Numbers: [76, 176] Generated Node #3: [76, 176] from Operation: 88*2=176 Current State: 100:[76, 176], Operations: ['35-33=2', '88*2=176'] Exploring Operation: 176-76=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[76, 35, 88, 33], Operations: [] Exploring Operation: 76+35=111, Resulting Numbers: [88, 33, 111] Generated Node #0,0: 100:[88, 33, 111] Operation: 76+35=111 Exploring Operation: 76-35=41, Resulting Numbers: [88, 33, 41] Generated Node #0,1: 100:[88, 33, 41] Operation: 76-35=41 Exploring Operation: 76-33=43, Resulting Numbers: [35, 88, 43] Generated Node #0,2: 100:[35, 88, 43] Operation: 76-33=43 Exploring Operation: 88-76=12, Resulting Numbers: [35, 33, 12] Generated Node #0,3: 100:[35, 33, 12] Operation: 88-76=12 Moving to Node #0,3 Current State: 100:[35, 33, 12], Operations: ['88-76=12'] Exploring Operation: 35-33=2, Resulting Numbers: [12, 2] Generated Node #0,3,0: 100:[12, 2] Operation: 35-33=2 Exploring Operation: 33-12=21, Resulting Numbers: [35, 21] Generated Node #0,3,1: 100:[35, 21] Operation: 33-12=21 Exploring Operation: 35+12=47, Resulting Numbers: [33, 47] Generated Node #0,3,2: 100:[33, 47] Operation: 35+12=47 Exploring Operation: 35-12=23, Resulting Numbers: [33, 23] Generated Node #0,3,3: 100:[33, 23] Operation: 35-12=23 Moving to Node #0,2 Current State: 100:[35, 88, 43], Operations: ['76-33=43'] Exploring Operation: 88-35=53, Resulting Numbers: [43, 53] Generated Node #0,2,0: 100:[43, 53] Operation: 88-35=53 Exploring Operation: 88-43=45, Resulting Numbers: [35, 45] Generated Node #0,2,1: 100:[35, 45] Operation: 88-43=45 Exploring Operation: 43-35=8, Resulting Numbers: [88, 8] Generated Node #0,2,2: 100:[88, 8] Operation: 43-35=8 Exploring Operation: 35+88=123, Resulting Numbers: [43, 123] Generated Node #0,2,3: 100:[43, 123] Operation: 35+88=123 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 100:[43, 53], Operations: ['76-33=43', '88-35=53'] Exploring Operation: 43+53=96, Resulting Numbers: [96] 96,100 unequal: No Solution Exploring Operation: 53-43=10, Resulting Numbers: [10] 10,100 unequal: No Solution Exploring Operation: 43*53=2279, Resulting Numbers: [2279] 2279,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 100:[88, 8], Operations: ['76-33=43', '43-35=8'] Exploring Operation: 88*8=704, Resulting Numbers: [704] 704,100 unequal: No Solution Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,100 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,100 unequal: No Solution Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 100:[35, 45], Operations: ['76-33=43', '88-43=45'] Exploring Operation: 45-35=10, Resulting Numbers: [10] 10,100 unequal: No Solution Exploring Operation: 35+45=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 35*45=1575, Resulting Numbers: [1575] 1575,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 100:[43, 123], Operations: ['76-33=43', '35+88=123'] Exploring Operation: 123-43=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 43*123=5289, Resulting Numbers: [5289] 5289,100 unequal: No Solution Exploring Operation: 43+123=166, Resulting Numbers: [166] 166,100 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: 100:[88, 33, 41], Operations: ['76-35=41'] Exploring Operation: 88-33=55, Resulting Numbers: [41, 55] Generated Node #0,1,0: 100:[41, 55] Operation: 88-33=55 Exploring Operation: 88+33=121, Resulting Numbers: [41, 121] Generated Node #0,1,1: 100:[41, 121] Operation: 88+33=121 Exploring Operation: 41-33=8, Resulting Numbers: [88, 8] Generated Node #0,1,2: 100:[88, 8] Operation: 41-33=8 Exploring Operation: 88-41=47, Resulting Numbers: [33, 47] Generated Node #0,1,3: 100:[33, 47] Operation: 88-41=47 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 100:[33, 47], Operations: ['76-35=41', '88-41=47'] Exploring Operation: 33+47=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 33*47=1551, Resulting Numbers: [1551] 1551,100 unequal: No Solution Exploring Operation: 47-33=14, Resulting Numbers: [14] 14,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 100:[41, 55], Operations: ['76-35=41', '88-33=55'] Exploring Operation: 41*55=2255, Resulting Numbers: [2255] 2255,100 unequal: No Solution Exploring Operation: 41+55=96, Resulting Numbers: [96] 96,100 unequal: No Solution Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 100:[88, 8], Operations: ['76-35=41', '41-33=8'] Exploring Operation: 88+8=96, Resulting Numbers: [96] 96,100 unequal: No Solution Exploring Operation: 88-8=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 88/8=11, Resulting Numbers: [11] 11,100 unequal: No Solution Exploring Operation: 88*8=704, Resulting Numbers: [704] 704,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 100:[41, 121], Operations: ['76-35=41', '88+33=121'] Exploring Operation: 41*121=4961, Resulting Numbers: [4961] 4961,100 unequal: No Solution Exploring Operation: 41+121=162, Resulting Numbers: [162] 162,100 unequal: No Solution Exploring Operation: 121-41=80, Resulting Numbers: [80] 80,100 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: 100:[88, 33, 111], Operations: ['76+35=111'] Exploring Operation: 111-33=78, Resulting Numbers: [88, 78] Generated Node #0,0,0: 100:[88, 78] Operation: 111-33=78 Exploring Operation: 88+33=121, Resulting Numbers: [111, 121] Generated Node #0,0,1: 100:[111, 121] Operation: 88+33=121 Exploring Operation: 88-33=55, Resulting Numbers: [111, 55] Generated Node #0,0,2: 100:[111, 55] Operation: 88-33=55 Exploring Operation: 111-88=23, Resulting Numbers: [33, 23] Generated Node #0,0,3: 100:[33, 23] Operation: 111-88=23 Moving to Node #0,3,0 Current State: 100:[12, 2], Operations: ['88-76=12', '35-33=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,100 unequal: No Solution Exploring Operation: 12+2=14, Resulting Numbers: [14] 14,100 unequal: No Solution Exploring Operation: 12*2=24, Resulting Numbers: [24] 24,100 unequal: No Solution Exploring Operation: 12/2=6, Resulting Numbers: [6] 6,100 unequal: No Solution Moving to Node #0,3,3 Current State: 100:[33, 23], Operations: ['88-76=12', '35-12=23'] Exploring Operation: 33*23=759, Resulting Numbers: [759] 759,100 unequal: No Solution Exploring Operation: 33+23=56, Resulting Numbers: [56] 56,100 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,100 unequal: No Solution Moving to Node #0,0,3 Current State: 100:[33, 23], Operations: ['76+35=111', '111-88=23'] Exploring Operation: 33+23=56, Resulting Numbers: [56] 56,100 unequal: No Solution Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,100 unequal: No Solution Exploring Operation: 33*23=759, Resulting Numbers: [759] 759,100 unequal: No Solution Moving to Node #0,3,1 Current State: 100:[35, 21], Operations: ['88-76=12', '33-12=21'] Exploring Operation: 35+21=56, Resulting Numbers: [56] 56,100 unequal: No Solution Exploring Operation: 35*21=735, Resulting Numbers: [735] 735,100 unequal: No Solution Exploring Operation: 35-21=14, Resulting Numbers: [14] 14,100 unequal: No Solution Moving to Node #0,3,2 Current State: 100:[33, 47], Operations: ['88-76=12', '35+12=47'] Exploring Operation: 47-33=14, Resulting Numbers: [14] 14,100 unequal: No Solution Exploring Operation: 33+47=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 33*47=1551, Resulting Numbers: [1551] 1551,100 unequal: No Solution Moving to Node #0,0,2 Current State: 100:[111, 55], Operations: ['76+35=111', '88-33=55'] Exploring Operation: 111-55=56, Resulting Numbers: [56] 56,100 unequal: No Solution Exploring Operation: 111+55=166, Resulting Numbers: [166] 166,100 unequal: No Solution Exploring Operation: 111*55=6105, Resulting Numbers: [6105] 6105,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[111, 121], Operations: ['76+35=111', '88+33=121'] Exploring Operation: 111+121=232, Resulting Numbers: [232] 232,100 unequal: No Solution Exploring Operation: 111*121=13431, Resulting Numbers: [13431] 13431,100 unequal: No Solution Exploring Operation: 121-111=10, Resulting Numbers: [10] 10,100 unequal: No Solution Moving to Node #0,0,0 Current State: 100:[88, 78], Operations: ['76+35=111', '111-33=78'] Exploring Operation: 88*78=6864, Resulting Numbers: [6864] 6864,100 unequal: No Solution Exploring Operation: 88-78=10, Resulting Numbers: [10] 10,100 unequal: No Solution Exploring Operation: 88+78=166, Resulting Numbers: [166] 166,100 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 73, 31, 96, 12 ]
42
[ "73-31=42", "96-12=84", "84-42=42" ]
Current State: 42:[73, 31, 96, 12], Operations: [] Exploring Operation: 73-31=42, Resulting Numbers: [96, 12, 42] Generated Node #2: [96, 12, 42] from Operation: 73-31=42 Current State: 42:[96, 12, 42], Operations: ['73-31=42'] Exploring Operation: 96-12=84, Resulting Numbers: [42, 84] Generated Node #3: [42, 84] from Operation: 96-12=84 Current State: 42:[42, 84], Operations: ['73-31=42', '96-12=84'] Exploring Operation: 84-42=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[73, 31, 96, 12], Operations: [] Exploring Operation: 96/12=8, Resulting Numbers: [73, 31, 8] Generated Node #0,0: 42:[73, 31, 8] Operation: 96/12=8 Exploring Operation: 73-31=42, Resulting Numbers: [96, 12, 42] Generated Node #0,1: 42:[96, 12, 42] Operation: 73-31=42 Exploring Operation: 96-73=23, Resulting Numbers: [31, 12, 23] Generated Node #0,2: 42:[31, 12, 23] Operation: 96-73=23 Moving to Node #0,2 Current State: 42:[31, 12, 23], Operations: ['96-73=23'] Exploring Operation: 31+12=43, Resulting Numbers: [23, 43] Generated Node #0,2,0: 42:[23, 43] Operation: 31+12=43 Exploring Operation: 31-23=8, Resulting Numbers: [12, 8] Generated Node #0,2,1: 42:[12, 8] Operation: 31-23=8 Exploring Operation: 31-12=19, Resulting Numbers: [23, 19] Generated Node #0,2,2: 42:[23, 19] Operation: 31-12=19 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 42:[23, 43], Operations: ['96-73=23', '31+12=43'] Exploring Operation: 23+43=66, Resulting Numbers: [66] 66,42 unequal: No Solution Exploring Operation: 23*43=989, Resulting Numbers: [989] 989,42 unequal: No Solution Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 42:[12, 8], Operations: ['96-73=23', '31-23=8'] Exploring Operation: 12+8=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 12-8=4, Resulting Numbers: [4] 4,42 unequal: No Solution Exploring Operation: 12*8=96, Resulting Numbers: [96] 96,42 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 42:[23, 19], Operations: ['96-73=23', '31-12=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[73, 31, 96, 12], Operations: [] Exploring Operation: 96-73=23, Resulting Numbers: [31, 12, 23] Generated Node #0,2: 42:[31, 12, 23] Operation: 96-73=23 Moving to Node #0,2 Current State: 42:[31, 12, 23], Operations: ['96-73=23'] Exploring Operation: 31-12=19, Resulting Numbers: [23, 19] Generated Node #0,2,2: 42:[23, 19] Operation: 31-12=19 Moving to Node #0,2,2 Current State: 42:[23, 19], Operations: ['96-73=23', '31-12=19'] Exploring Operation: 23+19=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_3
sum_heuristic