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, 4, 3, 73 ]
35
[ "73-26=47", "4*3=12", "47-12=35" ]
Current State: 35:[26, 4, 3, 73], Operations: [] Exploring Operation: 73-26=47, Resulting Numbers: [4, 3, 47] Generated Node #2: [4, 3, 47] from Operation: 73-26=47 Current State: 35:[4, 3, 47], Operations: ['73-26=47'] Exploring Operation: 4*3=12, Resulting Numbers: [47, 12] Generated Node #3: [47, 12] from Operation: 4*3=12 Current State: 35:[47, 12], Operations: ['73-26=47', '4*3=12'] Exploring Operation: 47-12=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[26, 4, 3, 73], Operations: [] Exploring Operation: 73-4=69, Resulting Numbers: [26, 3, 69] Generated Node #0,0: 35:[26, 3, 69] Operation: 73-4=69 Exploring Operation: 26+3=29, Resulting Numbers: [4, 73, 29] Generated Node #0,1: 35:[4, 73, 29] Operation: 26+3=29 Exploring Operation: 73-26=47, Resulting Numbers: [4, 3, 47] Generated Node #0,2: 35:[4, 3, 47] Operation: 73-26=47 Exploring Operation: 26+4=30, Resulting Numbers: [3, 73, 30] Generated Node #0,3: 35:[3, 73, 30] Operation: 26+4=30 Exploring Operation: 73-3=70, Resulting Numbers: [26, 4, 70] Generated Node #0,4: 35:[26, 4, 70] Operation: 73-3=70 Start Sub Search at level 1: Moving to Node #0,2 Current State: 35:[4, 3, 47], Operations: ['73-26=47'] Exploring Operation: 4-3=1, Resulting Numbers: [47, 1] Generated Node #0,2,0: 35:[47, 1] Operation: 4-3=1 Exploring Operation: 3+47=50, Resulting Numbers: [4, 50] Generated Node #0,2,1: 35:[4, 50] Operation: 3+47=50 Exploring Operation: 47-3=44, Resulting Numbers: [4, 44] Generated Node #0,2,2: 35:[4, 44] Operation: 47-3=44 Exploring Operation: 4+3=7, Resulting Numbers: [47, 7] Generated Node #0,2,3: 35:[47, 7] Operation: 4+3=7 Exploring Operation: 47-4=43, Resulting Numbers: [3, 43] Generated Node #0,2,4: 35:[3, 43] Operation: 47-4=43 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 35:[4, 44], Operations: ['73-26=47', '47-3=44'] Exploring Operation: 4*44=176, Resulting Numbers: [176] 176,35 unequal: No Solution Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,35 unequal: No Solution No 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: 35:[3, 43], Operations: ['73-26=47', '47-4=43'] Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 3*43=129, Resulting Numbers: [129] 129,35 unequal: No Solution Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,35 unequal: No Solution No 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: 35:[47, 7], Operations: ['73-26=47', '4+3=7'] Exploring Operation: 47+7=54, Resulting Numbers: [54] 54,35 unequal: No Solution Exploring Operation: 47-7=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 47*7=329, Resulting Numbers: [329] 329,35 unequal: No Solution No 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: 35:[47, 1], Operations: ['73-26=47', '4-3=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 47+1=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 47*1=47, Resulting Numbers: [47] 47,35 unequal: No Solution Exploring Operation: 47/1=47, Resulting Numbers: [47] 47,35 unequal: No Solution No 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: 35:[4, 50], Operations: ['73-26=47', '3+47=50'] Exploring Operation: 50-4=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 4+50=54, Resulting Numbers: [54] 54,35 unequal: No Solution Exploring Operation: 4*50=200, Resulting Numbers: [200] 200,35 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: 35:[26, 3, 69], Operations: ['73-4=69'] Exploring Operation: 26+3=29, Resulting Numbers: [69, 29] Generated Node #0,0,0: 35:[69, 29] Operation: 26+3=29 Exploring Operation: 69-3=66, Resulting Numbers: [26, 66] Generated Node #0,0,1: 35:[26, 66] Operation: 69-3=66 Exploring Operation: 69-26=43, Resulting Numbers: [3, 43] Generated Node #0,0,2: 35:[3, 43] Operation: 69-26=43 Exploring Operation: 26-3=23, Resulting Numbers: [69, 23] Generated Node #0,0,3: 35:[69, 23] Operation: 26-3=23 Exploring Operation: 69/3=23, Resulting Numbers: [26, 23] Generated Node #0,0,4: 35:[26, 23] Operation: 69/3=23 Moving to Node #0,0,2 Current State: 35:[3, 43], Operations: ['73-4=69', '69-26=43'] Exploring Operation: 3*43=129, Resulting Numbers: [129] 129,35 unequal: No Solution Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,0,4 Current State: 35:[26, 23], Operations: ['73-4=69', '69/3=23'] Exploring Operation: 26+23=49, Resulting Numbers: [49] 49,35 unequal: No Solution Exploring Operation: 26-23=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 26*23=598, Resulting Numbers: [598] 598,35 unequal: No Solution Moving to Node #0,0,0 Current State: 35:[69, 29], Operations: ['73-4=69', '26+3=29'] Exploring Operation: 69+29=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 69*29=2001, Resulting Numbers: [2001] 2001,35 unequal: No Solution Moving to Node #0,0,1 Current State: 35:[26, 66], Operations: ['73-4=69', '69-3=66'] Exploring Operation: 26*66=1716, Resulting Numbers: [1716] 1716,35 unequal: No Solution Exploring Operation: 26+66=92, Resulting Numbers: [92] 92,35 unequal: No Solution Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,0,3 Current State: 35:[69, 23], Operations: ['73-4=69', '26-3=23'] Exploring Operation: 69-23=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 69+23=92, Resulting Numbers: [92] 92,35 unequal: No Solution Exploring Operation: 69/23=3, Resulting Numbers: [3] 3,35 unequal: No Solution Exploring Operation: 69*23=1587, Resulting Numbers: [1587] 1587,35 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 #0,1 Current State: 35:[4, 73, 29], Operations: ['26+3=29'] Exploring Operation: 29-4=25, Resulting Numbers: [73, 25] Generated Node #0,1,0: 35:[73, 25] Operation: 29-4=25 Exploring Operation: 4+29=33, Resulting Numbers: [73, 33] Generated Node #0,1,1: 35:[73, 33] Operation: 4+29=33 Exploring Operation: 73-29=44, Resulting Numbers: [4, 44] Generated Node #0,1,2: 35:[4, 44] Operation: 73-29=44 Exploring Operation: 4+73=77, Resulting Numbers: [29, 77] Generated Node #0,1,3: 35:[29, 77] Operation: 4+73=77 Exploring Operation: 73-4=69, Resulting Numbers: [29, 69] Generated Node #0,1,4: 35:[29, 69] Operation: 73-4=69 Moving to Node #0,1,2 Current State: 35:[4, 44], Operations: ['26+3=29', '73-29=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,35 unequal: No Solution Exploring Operation: 4*44=176, Resulting Numbers: [176] 176,35 unequal: No Solution Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,1,4 Current State: 35:[29, 69], Operations: ['26+3=29', '73-4=69'] Exploring Operation: 69-29=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 29+69=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 29*69=2001, Resulting Numbers: [2001] 2001,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[73, 33], Operations: ['26+3=29', '4+29=33'] Exploring Operation: 73+33=106, Resulting Numbers: [106] 106,35 unequal: No Solution Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 73*33=2409, Resulting Numbers: [2409] 2409,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[73, 25], Operations: ['26+3=29', '29-4=25'] Exploring Operation: 73*25=1825, Resulting Numbers: [1825] 1825,35 unequal: No Solution Exploring Operation: 73+25=98, Resulting Numbers: [98] 98,35 unequal: No Solution Exploring Operation: 73-25=48, Resulting Numbers: [48] 48,35 unequal: No Solution Moving to Node #0,1,3 Current State: 35:[29, 77], Operations: ['26+3=29', '4+73=77'] Exploring Operation: 29+77=106, Resulting Numbers: [106] 106,35 unequal: No Solution Exploring Operation: 29*77=2233, Resulting Numbers: [2233] 2233,35 unequal: No Solution Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,35 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 #0,3 Current State: 35:[3, 73, 30], Operations: ['26+4=30'] Exploring Operation: 3+73=76, Resulting Numbers: [30, 76] Generated Node #0,3,0: 35:[30, 76] Operation: 3+73=76 Exploring Operation: 73-3=70, Resulting Numbers: [30, 70] Generated Node #0,3,1: 35:[30, 70] Operation: 73-3=70 Exploring Operation: 3+30=33, Resulting Numbers: [73, 33] Generated Node #0,3,2: 35:[73, 33] Operation: 3+30=33 Exploring Operation: 30/3=10, Resulting Numbers: [73, 10] Generated Node #0,3,3: 35:[73, 10] Operation: 30/3=10 Exploring Operation: 73-30=43, Resulting Numbers: [3, 43] Generated Node #0,3,4: 35:[3, 43] Operation: 73-30=43 Moving to Node #0,3,4 Current State: 35:[3, 43], Operations: ['26+4=30', '73-30=43'] Exploring Operation: 43-3=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 3+43=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 3*43=129, Resulting Numbers: [129] 129,35 unequal: No Solution Moving to Node #0,3,2 Current State: 35:[73, 33], Operations: ['26+4=30', '3+30=33'] Exploring Operation: 73*33=2409, Resulting Numbers: [2409] 2409,35 unequal: No Solution Exploring Operation: 73+33=106, Resulting Numbers: [106] 106,35 unequal: No Solution Exploring Operation: 73-33=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,3,1 Current State: 35:[30, 70], Operations: ['26+4=30', '73-3=70'] Exploring Operation: 30*70=2100, Resulting Numbers: [2100] 2100,35 unequal: No Solution Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,35 unequal: No Solution Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,35 unequal: No Solution Moving to Node #0,3,3 Current State: 35:[73, 10], Operations: ['26+4=30', '30/3=10'] Exploring Operation: 73+10=83, Resulting Numbers: [83] 83,35 unequal: No Solution Exploring Operation: 73*10=730, Resulting Numbers: [730] 730,35 unequal: No Solution Exploring Operation: 73-10=63, Resulting Numbers: [63] 63,35 unequal: No Solution Moving to Node #0,3,0 Current State: 35:[30, 76], Operations: ['26+4=30', '3+73=76'] Exploring Operation: 76-30=46, Resulting Numbers: [46] 46,35 unequal: No Solution Exploring Operation: 30+76=106, Resulting Numbers: [106] 106,35 unequal: No Solution Exploring Operation: 30*76=2280, Resulting Numbers: [2280] 2280,35 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 Current State: 35:[26, 4, 70], Operations: ['73-3=70'] Exploring Operation: 26-4=22, Resulting Numbers: [70, 22] Generated Node #0,4,0: 35:[70, 22] Operation: 26-4=22 Exploring Operation: 26+4=30, Resulting Numbers: [70, 30] Generated Node #0,4,1: 35:[70, 30] Operation: 26+4=30 Exploring Operation: 70-4=66, Resulting Numbers: [26, 66] Generated Node #0,4,2: 35:[26, 66] Operation: 70-4=66 Exploring Operation: 4+70=74, Resulting Numbers: [26, 74] Generated Node #0,4,3: 35:[26, 74] Operation: 4+70=74 Exploring Operation: 70-26=44, Resulting Numbers: [4, 44] Generated Node #0,4,4: 35:[4, 44] Operation: 70-26=44 Moving to Node #0,4,4 Current State: 35:[4, 44], Operations: ['73-3=70', '70-26=44'] Exploring Operation: 44/4=11, Resulting Numbers: [11] 11,35 unequal: No Solution Exploring Operation: 4+44=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 4*44=176, Resulting Numbers: [176] 176,35 unequal: No Solution Exploring Operation: 44-4=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,4,2 Current State: 35:[26, 66], Operations: ['73-3=70', '70-4=66'] Exploring Operation: 26*66=1716, Resulting Numbers: [1716] 1716,35 unequal: No Solution Exploring Operation: 26+66=92, Resulting Numbers: [92] 92,35 unequal: No Solution Exploring Operation: 66-26=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,4,1 Current State: 35:[70, 30], Operations: ['73-3=70', '26+4=30'] Exploring Operation: 70+30=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 70*30=2100, Resulting Numbers: [2100] 2100,35 unequal: No Solution Exploring Operation: 70-30=40, Resulting Numbers: [40] 40,35 unequal: No Solution Moving to Node #0,4,0 Current State: 35:[70, 22], Operations: ['73-3=70', '26-4=22'] Exploring Operation: 70-22=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 70+22=92, Resulting Numbers: [92] 92,35 unequal: No Solution Exploring Operation: 70*22=1540, Resulting Numbers: [1540] 1540,35 unequal: No Solution Moving to Node #0,4,3 Current State: 35:[26, 74], Operations: ['73-3=70', '4+70=74'] Exploring Operation: 74-26=48, Resulting Numbers: [48] 48,35 unequal: No Solution Exploring Operation: 26+74=100, Resulting Numbers: [100] 100,35 unequal: No Solution Exploring Operation: 26*74=1924, Resulting Numbers: [1924] 1924,35 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
[ 7, 5, 22, 49 ]
57
[ "49/7=7", "5*7=35", "22+35=57" ]
Current State: 57:[7, 5, 22, 49], Operations: [] Exploring Operation: 49/7=7, Resulting Numbers: [5, 22, 7] Generated Node #2: [5, 22, 7] from Operation: 49/7=7 Current State: 57:[5, 22, 7], Operations: ['49/7=7'] Exploring Operation: 5*7=35, Resulting Numbers: [22, 35] Generated Node #3: [22, 35] from Operation: 5*7=35 Current State: 57:[22, 35], Operations: ['49/7=7', '5*7=35'] Exploring Operation: 22+35=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[7, 5, 22, 49], Operations: [] Exploring Operation: 7-5=2, Resulting Numbers: [22, 49, 2] Generated Node #0,0: 57:[22, 49, 2] Operation: 7-5=2 Exploring Operation: 7+49=56, Resulting Numbers: [5, 22, 56] Generated Node #0,1: 57:[5, 22, 56] Operation: 7+49=56 Exploring Operation: 49/7=7, Resulting Numbers: [5, 22, 7] Generated Node #0,2: 57:[5, 22, 7] Operation: 49/7=7 Exploring Operation: 5+49=54, Resulting Numbers: [7, 22, 54] Generated Node #0,3: 57:[7, 22, 54] Operation: 5+49=54 Start Sub Search at level 1: Moving to Node #0,1 Current State: 57:[5, 22, 56], Operations: ['7+49=56'] Exploring Operation: 22-5=17, Resulting Numbers: [56, 17] Generated Node #0,1,0: 57:[56, 17] Operation: 22-5=17 Exploring Operation: 56-5=51, Resulting Numbers: [22, 51] Generated Node #0,1,1: 57:[22, 51] Operation: 56-5=51 Exploring Operation: 5+56=61, Resulting Numbers: [22, 61] Generated Node #0,1,2: 57:[22, 61] Operation: 5+56=61 Exploring Operation: 5+22=27, Resulting Numbers: [56, 27] Generated Node #0,1,3: 57:[56, 27] Operation: 5+22=27 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 57:[56, 17], Operations: ['7+49=56', '22-5=17'] Exploring Operation: 56*17=952, Resulting Numbers: [952] 952,57 unequal: No Solution Exploring Operation: 56-17=39, Resulting Numbers: [39] 39,57 unequal: No Solution Exploring Operation: 56+17=73, Resulting Numbers: [73] 73,57 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 #0,1,2 Current State: 57:[22, 61], Operations: ['7+49=56', '5+56=61'] Exploring Operation: 22*61=1342, Resulting Numbers: [1342] 1342,57 unequal: No Solution Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,57 unequal: No Solution Exploring Operation: 22+61=83, Resulting Numbers: [83] 83,57 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 #0,1,1 Current State: 57:[22, 51], Operations: ['7+49=56', '56-5=51'] Exploring Operation: 22+51=73, Resulting Numbers: [73] 73,57 unequal: No Solution Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 22*51=1122, Resulting Numbers: [1122] 1122,57 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 #0,1,3 Current State: 57:[56, 27], Operations: ['7+49=56', '5+22=27'] Exploring Operation: 56*27=1512, Resulting Numbers: [1512] 1512,57 unequal: No Solution Exploring Operation: 56+27=83, Resulting Numbers: [83] 83,57 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,57 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 #0,2 Current State: 57:[5, 22, 7], Operations: ['49/7=7'] Exploring Operation: 22-7=15, Resulting Numbers: [5, 15] Generated Node #0,2,0: 57:[5, 15] Operation: 22-7=15 Exploring Operation: 5+7=12, Resulting Numbers: [22, 12] Generated Node #0,2,1: 57:[22, 12] Operation: 5+7=12 Exploring Operation: 22-5=17, Resulting Numbers: [7, 17] Generated Node #0,2,2: 57:[7, 17] Operation: 22-5=17 Exploring Operation: 7-5=2, Resulting Numbers: [22, 2] Generated Node #0,2,3: 57:[22, 2] Operation: 7-5=2 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 57:[22, 2], Operations: ['49/7=7', '7-5=2'] Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,57 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,57 unequal: No Solution Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,57 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,57 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 #0,2,0 Current State: 57:[5, 15], Operations: ['49/7=7', '22-7=15'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,57 unequal: No Solution Exploring Operation: 5+15=20, Resulting Numbers: [20] 20,57 unequal: No Solution Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,57 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 #0,2,2 Current State: 57:[7, 17], Operations: ['49/7=7', '22-5=17'] Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,57 unequal: No Solution Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,57 unequal: No Solution Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,57 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 #0,2,1 Current State: 57:[22, 12], Operations: ['49/7=7', '5+7=12'] Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,57 unequal: No Solution Exploring Operation: 22*12=264, Resulting Numbers: [264] 264,57 unequal: No Solution Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,57 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 #0,3 Current State: 57:[7, 22, 54], Operations: ['5+49=54'] Exploring Operation: 54-7=47, Resulting Numbers: [22, 47] Generated Node #0,3,0: 57:[22, 47] Operation: 54-7=47 Exploring Operation: 22-7=15, Resulting Numbers: [54, 15] Generated Node #0,3,1: 57:[54, 15] Operation: 22-7=15 Exploring Operation: 7+22=29, Resulting Numbers: [54, 29] Generated Node #0,3,2: 57:[54, 29] Operation: 7+22=29 Exploring Operation: 7+54=61, Resulting Numbers: [22, 61] Generated Node #0,3,3: 57:[22, 61] Operation: 7+54=61 Moving to Node #0,3,1 Current State: 57:[54, 15], Operations: ['5+49=54', '22-7=15'] Exploring Operation: 54*15=810, Resulting Numbers: [810] 810,57 unequal: No Solution Exploring Operation: 54+15=69, Resulting Numbers: [69] 69,57 unequal: No Solution Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,57 unequal: No Solution Moving to Node #0,3,3 Current State: 57:[22, 61], Operations: ['5+49=54', '7+54=61'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,57 unequal: No Solution Exploring Operation: 22*61=1342, Resulting Numbers: [1342] 1342,57 unequal: No Solution Exploring Operation: 22+61=83, Resulting Numbers: [83] 83,57 unequal: No Solution Moving to Node #0,3,2 Current State: 57:[54, 29], Operations: ['5+49=54', '7+22=29'] Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 54*29=1566, Resulting Numbers: [1566] 1566,57 unequal: No Solution Exploring Operation: 54+29=83, Resulting Numbers: [83] 83,57 unequal: No Solution Moving to Node #0,3,0 Current State: 57:[22, 47], Operations: ['5+49=54', '54-7=47'] Exploring Operation: 47-22=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 22*47=1034, Resulting Numbers: [1034] 1034,57 unequal: No Solution Exploring Operation: 22+47=69, Resulting Numbers: [69] 69,57 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:[22, 49, 2], Operations: ['7-5=2'] Exploring Operation: 49-22=27, Resulting Numbers: [2, 27] Generated Node #0,0,0: 57:[2, 27] Operation: 49-22=27 Exploring Operation: 49+2=51, Resulting Numbers: [22, 51] Generated Node #0,0,1: 57:[22, 51] Operation: 49+2=51 Exploring Operation: 22-2=20, Resulting Numbers: [49, 20] Generated Node #0,0,2: 57:[49, 20] Operation: 22-2=20 Exploring Operation: 22+2=24, Resulting Numbers: [49, 24] Generated Node #0,0,3: 57:[49, 24] Operation: 22+2=24 Moving to Node #0,0,0 Current State: 57:[2, 27], Operations: ['7-5=2', '49-22=27'] Exploring Operation: 2*27=54, Resulting Numbers: [54] 54,57 unequal: No Solution Exploring Operation: 2+27=29, Resulting Numbers: [29] 29,57 unequal: No Solution Exploring Operation: 27-2=25, Resulting Numbers: [25] 25,57 unequal: No Solution Moving to Node #0,0,2 Current State: 57:[49, 20], Operations: ['7-5=2', '22-2=20'] Exploring Operation: 49+20=69, Resulting Numbers: [69] 69,57 unequal: No Solution Exploring Operation: 49*20=980, Resulting Numbers: [980] 980,57 unequal: No Solution Exploring Operation: 49-20=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,0,1 Current State: 57:[22, 51], Operations: ['7-5=2', '49+2=51'] Exploring Operation: 22*51=1122, Resulting Numbers: [1122] 1122,57 unequal: No Solution Exploring Operation: 22+51=73, Resulting Numbers: [73] 73,57 unequal: No Solution Exploring Operation: 51-22=29, Resulting Numbers: [29] 29,57 unequal: No Solution Moving to Node #0,0,3 Current State: 57:[49, 24], Operations: ['7-5=2', '22+2=24'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,57 unequal: No Solution Exploring Operation: 49*24=1176, Resulting Numbers: [1176] 1176,57 unequal: No Solution Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,57 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
[ 36, 51, 71, 50 ]
34
[ "36+51=87", "71+50=121", "121-87=34" ]
Current State: 34:[36, 51, 71, 50], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [71, 50, 87] Generated Node #2: [71, 50, 87] from Operation: 36+51=87 Current State: 34:[71, 50, 87], Operations: ['36+51=87'] Exploring Operation: 71+50=121, Resulting Numbers: [87, 121] Generated Node #3: [87, 121] from Operation: 71+50=121 Current State: 34:[87, 121], Operations: ['36+51=87', '71+50=121'] Exploring Operation: 121-87=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[36, 51, 71, 50], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [51, 50, 35] Generated Node #0,0: 34:[51, 50, 35] Operation: 71-36=35 Exploring Operation: 71-50=21, Resulting Numbers: [36, 51, 21] Generated Node #0,1: 34:[36, 51, 21] Operation: 71-50=21 Exploring Operation: 71-51=20, Resulting Numbers: [36, 50, 20] Generated Node #0,2: 34:[36, 50, 20] Operation: 71-51=20 Exploring Operation: 51-50=1, Resulting Numbers: [36, 71, 1] Generated Node #0,3: 34:[36, 71, 1] Operation: 51-50=1 Start Sub Search at level 1: Moving to Node #0,2 Current State: 34:[36, 50, 20], Operations: ['71-51=20'] Exploring Operation: 50-20=30, Resulting Numbers: [36, 30] Generated Node #0,2,0: 34:[36, 30] Operation: 50-20=30 Exploring Operation: 36-20=16, Resulting Numbers: [50, 16] Generated Node #0,2,1: 34:[50, 16] Operation: 36-20=16 Exploring Operation: 36+20=56, Resulting Numbers: [50, 56] Generated Node #0,2,2: 34:[50, 56] Operation: 36+20=56 Exploring Operation: 50-36=14, Resulting Numbers: [20, 14] Generated Node #0,2,3: 34:[20, 14] Operation: 50-36=14 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 34:[36, 30], Operations: ['71-51=20', '50-20=30'] Exploring Operation: 36*30=1080, Resulting Numbers: [1080] 1080,34 unequal: No Solution Exploring Operation: 36-30=6, Resulting Numbers: [6] 6,34 unequal: No Solution Exploring Operation: 36+30=66, Resulting Numbers: [66] 66,34 unequal: No Solution No 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: 34:[20, 14], Operations: ['71-51=20', '50-36=14'] Exploring Operation: 20+14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Moving to Node #0 Current State: 34:[36, 51, 71, 50], Operations: [] Exploring Operation: 71-51=20, Resulting Numbers: [36, 50, 20] Generated Node #0,2: 34:[36, 50, 20] Operation: 71-51=20 Moving to Node #0,2 Current State: 34:[36, 50, 20], Operations: ['71-51=20'] Exploring Operation: 50-36=14, Resulting Numbers: [20, 14] Generated Node #0,2,3: 34:[20, 14] Operation: 50-36=14 Moving to Node #0,2,3 Current State: 34:[20, 14], Operations: ['71-51=20', '50-36=14'] Exploring Operation: 20+14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986111
hs_4
mult_heuristic
[ 31, 8, 68, 63 ]
72
[ "63-31=32", "32/8=4", "68+4=72" ]
Current State: 72:[31, 8, 68, 63], Operations: [] Exploring Operation: 63-31=32, Resulting Numbers: [8, 68, 32] Generated Node #2: [8, 68, 32] from Operation: 63-31=32 Current State: 72:[8, 68, 32], Operations: ['63-31=32'] Exploring Operation: 32/8=4, Resulting Numbers: [68, 4] Generated Node #3: [68, 4] from Operation: 32/8=4 Current State: 72:[68, 4], Operations: ['63-31=32', '32/8=4'] Exploring Operation: 68+4=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[31, 8, 68, 63], Operations: [] Exploring Operation: 68-63=5, Resulting Numbers: [31, 8, 5] Generated Node #0,0: 72:[31, 8, 5] Operation: 68-63=5 Exploring Operation: 63-31=32, Resulting Numbers: [8, 68, 32] Generated Node #0,1: 72:[8, 68, 32] Operation: 63-31=32 Start Sub Search at level 1: Moving to Node #0,0 Current State: 72:[31, 8, 5], Operations: ['68-63=5'] Exploring Operation: 31-8=23, Resulting Numbers: [5, 23] Generated Node #0,0,0: 72:[5, 23] Operation: 31-8=23 Exploring Operation: 31+5=36, Resulting Numbers: [8, 36] Generated Node #0,0,1: 72:[8, 36] Operation: 31+5=36 Moving to Node #0,0,1 Current State: 72:[8, 36], Operations: ['68-63=5', '31+5=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,72 unequal: No Solution Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,72 unequal: No Solution Moving to Node #0,0,0 Current State: 72:[5, 23], Operations: ['68-63=5', '31-8=23'] Exploring Operation: 5+23=28, Resulting Numbers: [28] 28,72 unequal: No Solution Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,72 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[8, 68, 32], Operations: ['63-31=32'] Exploring Operation: 68-32=36, Resulting Numbers: [8, 36] Generated Node #0,1,0: 72:[8, 36] Operation: 68-32=36 Exploring Operation: 32-8=24, Resulting Numbers: [68, 24] Generated Node #0,1,1: 72:[68, 24] Operation: 32-8=24 Moving to Node #0,1,0 Current State: 72:[8, 36], Operations: ['63-31=32', '68-32=36'] Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,72 unequal: No Solution Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,72 unequal: No Solution Moving to Node #0,1,1 Current State: 72:[68, 24], Operations: ['63-31=32', '32-8=24'] Exploring Operation: 68+24=92, Resulting Numbers: [92] 92,72 unequal: No Solution Exploring Operation: 68-24=44, Resulting Numbers: [44] 44,72 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
[ 8, 72, 13, 7 ]
28
[ "72/8=9", "13-9=4", "7*4=28" ]
Current State: 28:[8, 72, 13, 7], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [13, 7, 9] Generated Node #2: [13, 7, 9] from Operation: 72/8=9 Current State: 28:[13, 7, 9], Operations: ['72/8=9'] Exploring Operation: 13-9=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 13-9=4 Current State: 28:[7, 4], Operations: ['72/8=9', '13-9=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[8, 72, 13, 7], Operations: [] Exploring Operation: 72-8=64, Resulting Numbers: [13, 7, 64] Generated Node #0,0: 28:[13, 7, 64] Operation: 72-8=64 Exploring Operation: 72-13=59, Resulting Numbers: [8, 7, 59] Generated Node #0,1: 28:[8, 7, 59] Operation: 72-13=59 Exploring Operation: 72-7=65, Resulting Numbers: [8, 13, 65] Generated Node #0,2: 28:[8, 13, 65] Operation: 72-7=65 Exploring Operation: 72/8=9, Resulting Numbers: [13, 7, 9] Generated Node #0,3: 28:[13, 7, 9] Operation: 72/8=9 Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[13, 7, 9], Operations: ['72/8=9'] Exploring Operation: 9-7=2, Resulting Numbers: [13, 2] Generated Node #0,3,0: 28:[13, 2] Operation: 9-7=2 Exploring Operation: 7+9=16, Resulting Numbers: [13, 16] Generated Node #0,3,1: 28:[13, 16] Operation: 7+9=16 Exploring Operation: 13-7=6, Resulting Numbers: [9, 6] Generated Node #0,3,2: 28:[9, 6] Operation: 13-7=6 Exploring Operation: 13-9=4, Resulting Numbers: [7, 4] Generated Node #0,3,3: 28:[7, 4] Operation: 13-9=4 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 28:[7, 4], Operations: ['72/8=9', '13-9=4'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[8, 72, 13, 7], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [13, 7, 9] Generated Node #0,3: 28:[13, 7, 9] Operation: 72/8=9 Moving to Node #0,3 Current State: 28:[13, 7, 9], Operations: ['72/8=9'] Exploring Operation: 13-9=4, Resulting Numbers: [7, 4] Generated Node #0,3,3: 28:[7, 4] Operation: 13-9=4 Moving to Node #0,3,3 Current State: 28:[7, 4], Operations: ['72/8=9', '13-9=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_4
sum_heuristic
[ 30, 44, 98, 22 ]
46
[ "30+44=74", "98+22=120", "120-74=46" ]
Current State: 46:[30, 44, 98, 22], Operations: [] Exploring Operation: 30+44=74, Resulting Numbers: [98, 22, 74] Generated Node #2: [98, 22, 74] from Operation: 30+44=74 Current State: 46:[98, 22, 74], Operations: ['30+44=74'] Exploring Operation: 98+22=120, Resulting Numbers: [74, 120] Generated Node #3: [74, 120] from Operation: 98+22=120 Current State: 46:[74, 120], Operations: ['30+44=74', '98+22=120'] Exploring Operation: 120-74=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
Current State: 46:[30, 44, 98, 22], Operations: [] Exploring Operation: 98-30=68, Resulting Numbers: [44, 22, 68] Generated Node #0,0: 46:[44, 22, 68] Operation: 98-30=68 Exploring Operation: 98-22=76, Resulting Numbers: [30, 44, 76] Generated Node #0,1: 46:[30, 44, 76] Operation: 98-22=76 Exploring Operation: 44/22=2, Resulting Numbers: [30, 98, 2] Generated Node #0,2: 46:[30, 98, 2] Operation: 44/22=2 Exploring Operation: 98-44=54, Resulting Numbers: [30, 22, 54] Generated Node #0,3: 46:[30, 22, 54] Operation: 98-44=54 Moving to Node #0,3 Current State: 46:[30, 22, 54], Operations: ['98-44=54'] Exploring Operation: 54-30=24, Resulting Numbers: [22, 24] Generated Node #0,3,0: 46:[22, 24] Operation: 54-30=24 Exploring Operation: 30-22=8, Resulting Numbers: [54, 8] Generated Node #0,3,1: 46:[54, 8] Operation: 30-22=8 Exploring Operation: 30+22=52, Resulting Numbers: [54, 52] Generated Node #0,3,2: 46:[54, 52] Operation: 30+22=52 Exploring Operation: 54-22=32, Resulting Numbers: [30, 32] Generated Node #0,3,3: 46:[30, 32] Operation: 54-22=32 Moving to Node #0,0 Current State: 46:[44, 22, 68], Operations: ['98-30=68'] Exploring Operation: 44-22=22, Resulting Numbers: [68, 22] Generated Node #0,0,0: 46:[68, 22] Operation: 44-22=22 Exploring Operation: 44/22=2, Resulting Numbers: [68, 2] Generated Node #0,0,1: 46:[68, 2] Operation: 44/22=2 Exploring Operation: 68-22=46, Resulting Numbers: [44, 46] Generated Node #0,0,2: 46:[44, 46] Operation: 68-22=46 Exploring Operation: 68-44=24, Resulting Numbers: [22, 24] Generated Node #0,0,3: 46:[22, 24] Operation: 68-44=24 Moving to Node #0,1 Current State: 46:[30, 44, 76], Operations: ['98-22=76'] Exploring Operation: 76-44=32, Resulting Numbers: [30, 32] Generated Node #0,1,0: 46:[30, 32] Operation: 76-44=32 Exploring Operation: 76-30=46, Resulting Numbers: [44, 46] Generated Node #0,1,1: 46:[44, 46] Operation: 76-30=46 Exploring Operation: 44-30=14, Resulting Numbers: [76, 14] Generated Node #0,1,2: 46:[76, 14] Operation: 44-30=14 Exploring Operation: 30+44=74, Resulting Numbers: [76, 74] Generated Node #0,1,3: 46:[76, 74] Operation: 30+44=74 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 46:[44, 46], Operations: ['98-22=76', '76-30=46'] Exploring Operation: 44*46=2024, Resulting Numbers: [2024] 2024,46 unequal: No Solution Exploring Operation: 44+46=90, Resulting Numbers: [90] 90,46 unequal: No Solution Exploring Operation: 46-44=2, Resulting Numbers: [2] 2,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 46:[30, 32], Operations: ['98-22=76', '76-44=32'] Exploring Operation: 32-30=2, Resulting Numbers: [2] 2,46 unequal: No Solution Exploring Operation: 30*32=960, Resulting Numbers: [960] 960,46 unequal: No Solution Exploring Operation: 30+32=62, Resulting Numbers: [62] 62,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 46:[76, 14], Operations: ['98-22=76', '44-30=14'] Exploring Operation: 76+14=90, Resulting Numbers: [90] 90,46 unequal: No Solution Exploring Operation: 76-14=62, Resulting Numbers: [62] 62,46 unequal: No Solution Exploring Operation: 76*14=1064, Resulting Numbers: [1064] 1064,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 46:[76, 74], Operations: ['98-22=76', '30+44=74'] Exploring Operation: 76+74=150, Resulting Numbers: [150] 150,46 unequal: No Solution Exploring Operation: 76*74=5624, Resulting Numbers: [5624] 5624,46 unequal: No Solution Exploring Operation: 76-74=2, Resulting Numbers: [2] 2,46 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: 46:[30, 98, 2], Operations: ['44/22=2'] Exploring Operation: 98-30=68, Resulting Numbers: [2, 68] Generated Node #0,2,0: 46:[2, 68] Operation: 98-30=68 Exploring Operation: 98-2=96, Resulting Numbers: [30, 96] Generated Node #0,2,1: 46:[30, 96] Operation: 98-2=96 Exploring Operation: 98/2=49, Resulting Numbers: [30, 49] Generated Node #0,2,2: 46:[30, 49] Operation: 98/2=49 Exploring Operation: 30-2=28, Resulting Numbers: [98, 28] Generated Node #0,2,3: 46:[98, 28] Operation: 30-2=28 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 46:[30, 49], Operations: ['44/22=2', '98/2=49'] Exploring Operation: 30+49=79, Resulting Numbers: [79] 79,46 unequal: No Solution Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,46 unequal: No Solution Exploring Operation: 30*49=1470, Resulting Numbers: [1470] 1470,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 46:[2, 68], Operations: ['44/22=2', '98-30=68'] Exploring Operation: 2+68=70, Resulting Numbers: [70] 70,46 unequal: No Solution Exploring Operation: 2*68=136, Resulting Numbers: [136] 136,46 unequal: No Solution Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,46 unequal: No Solution Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 46:[30, 96], Operations: ['44/22=2', '98-2=96'] Exploring Operation: 30*96=2880, Resulting Numbers: [2880] 2880,46 unequal: No Solution Exploring Operation: 30+96=126, Resulting Numbers: [126] 126,46 unequal: No Solution Exploring Operation: 96-30=66, Resulting Numbers: [66] 66,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 46:[98, 28], Operations: ['44/22=2', '30-2=28'] Exploring Operation: 98+28=126, Resulting Numbers: [126] 126,46 unequal: No Solution Exploring Operation: 98-28=70, Resulting Numbers: [70] 70,46 unequal: No Solution Exploring Operation: 98*28=2744, Resulting Numbers: [2744] 2744,46 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,0 Current State: 46:[22, 24], Operations: ['98-44=54', '54-30=24'] Exploring Operation: 24-22=2, Resulting Numbers: [2] 2,46 unequal: No Solution Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached Moving to Node #0 Current State: 46:[30, 44, 98, 22], Operations: [] Exploring Operation: 98-44=54, Resulting Numbers: [30, 22, 54] Generated Node #0,3: 46:[30, 22, 54] Operation: 98-44=54 Moving to Node #0,3 Current State: 46:[30, 22, 54], Operations: ['98-44=54'] Exploring Operation: 54-30=24, Resulting Numbers: [22, 24] Generated Node #0,3,0: 46:[22, 24] Operation: 54-30=24 Moving to Node #0,3,0 Current State: 46:[22, 24], Operations: ['98-44=54', '54-30=24'] Exploring Operation: 22+24=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
0.955729
hs_4
sum_heuristic
[ 33, 85, 78, 34 ]
51
[ "85-33=52", "78*34=2652", "2652/52=51" ]
Current State: 51:[33, 85, 78, 34], Operations: [] Exploring Operation: 85-33=52, Resulting Numbers: [78, 34, 52] Generated Node #2: [78, 34, 52] from Operation: 85-33=52 Current State: 51:[78, 34, 52], Operations: ['85-33=52'] Exploring Operation: 78*34=2652, Resulting Numbers: [52, 2652] Generated Node #3: [52, 2652] from Operation: 78*34=2652 Current State: 51:[52, 2652], Operations: ['85-33=52', '78*34=2652'] Exploring Operation: 2652/52=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[33, 85, 78, 34], Operations: [] Exploring Operation: 85-34=51, Resulting Numbers: [33, 78, 51] Generated Node #0,0: 51:[33, 78, 51] Operation: 85-34=51 Exploring Operation: 85-78=7, Resulting Numbers: [33, 34, 7] Generated Node #0,1: 51:[33, 34, 7] Operation: 85-78=7 Moving to Node #0,1 Current State: 51:[33, 34, 7], Operations: ['85-78=7'] Exploring Operation: 33+34=67, Resulting Numbers: [7, 67] Generated Node #0,1,0: 51:[7, 67] Operation: 33+34=67 Exploring Operation: 34-33=1, Resulting Numbers: [7, 1] Generated Node #0,1,1: 51:[7, 1] Operation: 34-33=1 Moving to Node #0,0 Current State: 51:[33, 78, 51], Operations: ['85-34=51'] Exploring Operation: 78-33=45, Resulting Numbers: [51, 45] Generated Node #0,0,0: 51:[51, 45] Operation: 78-33=45 Exploring Operation: 78-51=27, Resulting Numbers: [33, 27] Generated Node #0,0,1: 51:[33, 27] Operation: 78-51=27 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 51:[51, 45], Operations: ['85-34=51', '78-33=45'] Exploring Operation: 51+45=96, Resulting Numbers: [96] 96,51 unequal: No Solution Exploring Operation: 51-45=6, Resulting Numbers: [6] 6,51 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:[33, 27], Operations: ['85-34=51', '78-51=27'] Exploring Operation: 33+27=60, Resulting Numbers: [60] 60,51 unequal: No Solution Exploring Operation: 33-27=6, Resulting Numbers: [6] 6,51 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1,1 Current State: 51:[7, 1], Operations: ['85-78=7', '34-33=1'] Exploring Operation: 7*1=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 7-1=6, Resulting Numbers: [6] 6,51 unequal: No Solution Moving to Node #0,1,0 Current State: 51:[7, 67], Operations: ['85-78=7', '33+34=67'] Exploring Operation: 7+67=74, Resulting Numbers: [74] 74,51 unequal: No Solution Exploring Operation: 67-7=60, Resulting Numbers: [60] 60,51 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 41, 32, 78, 75 ]
80
[ "41+32=73", "78+75=153", "153-73=80" ]
Current State: 80:[41, 32, 78, 75], Operations: [] Exploring Operation: 41+32=73, Resulting Numbers: [78, 75, 73] Generated Node #2: [78, 75, 73] from Operation: 41+32=73 Current State: 80:[78, 75, 73], Operations: ['41+32=73'] Exploring Operation: 78+75=153, Resulting Numbers: [73, 153] Generated Node #3: [73, 153] from Operation: 78+75=153 Current State: 80:[73, 153], Operations: ['41+32=73', '78+75=153'] Exploring Operation: 153-73=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[41, 32, 78, 75], Operations: [] Exploring Operation: 78-32=46, Resulting Numbers: [41, 75, 46] Generated Node #0,0: 80:[41, 75, 46] Operation: 78-32=46 Exploring Operation: 75-32=43, Resulting Numbers: [41, 78, 43] Generated Node #0,1: 80:[41, 78, 43] Operation: 75-32=43 Exploring Operation: 78-75=3, Resulting Numbers: [41, 32, 3] Generated Node #0,2: 80:[41, 32, 3] Operation: 78-75=3 Exploring Operation: 41+32=73, Resulting Numbers: [78, 75, 73] Generated Node #0,3: 80:[78, 75, 73] Operation: 41+32=73 Exploring Operation: 41-32=9, Resulting Numbers: [78, 75, 9] Generated Node #0,4: 80:[78, 75, 9] Operation: 41-32=9 Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[41, 78, 43], Operations: ['75-32=43'] Exploring Operation: 78-41=37, Resulting Numbers: [43, 37] Generated Node #0,1,0: 80:[43, 37] Operation: 78-41=37 Exploring Operation: 43-41=2, Resulting Numbers: [78, 2] Generated Node #0,1,1: 80:[78, 2] Operation: 43-41=2 Exploring Operation: 41+78=119, Resulting Numbers: [43, 119] Generated Node #0,1,2: 80:[43, 119] Operation: 41+78=119 Exploring Operation: 78-43=35, Resulting Numbers: [41, 35] Generated Node #0,1,3: 80:[41, 35] Operation: 78-43=35 Exploring Operation: 41+43=84, Resulting Numbers: [78, 84] Generated Node #0,1,4: 80:[78, 84] Operation: 41+43=84 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 80:[78, 2], Operations: ['75-32=43', '43-41=2'] Exploring Operation: 78/2=39, Resulting Numbers: [39] 39,80 unequal: No Solution Exploring Operation: 78-2=76, Resulting Numbers: [76] 76,80 unequal: No Solution Exploring Operation: 78*2=156, Resulting Numbers: [156] 156,80 unequal: No Solution Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[41, 32, 78, 75], Operations: [] Exploring Operation: 75-32=43, Resulting Numbers: [41, 78, 43] Generated Node #0,1: 80:[41, 78, 43] Operation: 75-32=43 Moving to Node #0,1 Current State: 80:[41, 78, 43], Operations: ['75-32=43'] Exploring Operation: 43-41=2, Resulting Numbers: [78, 2] Generated Node #0,1,1: 80:[78, 2] Operation: 43-41=2 Moving to Node #0,1,1 Current State: 80:[78, 2], Operations: ['75-32=43', '43-41=2'] Exploring Operation: 78+2=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.984375
hs_5
sum_heuristic
[ 25, 67, 8, 90 ]
87
[ "67+8=75", "75/25=3", "90-3=87" ]
Current State: 87:[25, 67, 8, 90], Operations: [] Exploring Operation: 67+8=75, Resulting Numbers: [25, 90, 75] Generated Node #2: [25, 90, 75] from Operation: 67+8=75 Current State: 87:[25, 90, 75], Operations: ['67+8=75'] Exploring Operation: 75/25=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 75/25=3 Current State: 87:[90, 3], Operations: ['67+8=75', '75/25=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
Current State: 87:[25, 67, 8, 90], Operations: [] Exploring Operation: 67+8=75, Resulting Numbers: [25, 90, 75] Generated Node #0,0: 87:[25, 90, 75] Operation: 67+8=75 Exploring Operation: 90-67=23, Resulting Numbers: [25, 8, 23] Generated Node #0,1: 87:[25, 8, 23] Operation: 90-67=23 Exploring Operation: 25+67=92, Resulting Numbers: [8, 90, 92] Generated Node #0,2: 87:[8, 90, 92] Operation: 25+67=92 Moving to Node #0,2 Current State: 87:[8, 90, 92], Operations: ['25+67=92'] Exploring Operation: 92-90=2, Resulting Numbers: [8, 2] Generated Node #0,2,0: 87:[8, 2] Operation: 92-90=2 Exploring Operation: 90-8=82, Resulting Numbers: [92, 82] Generated Node #0,2,1: 87:[92, 82] Operation: 90-8=82 Exploring Operation: 92-8=84, Resulting Numbers: [90, 84] Generated Node #0,2,2: 87:[90, 84] Operation: 92-8=84 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 87:[8, 2], Operations: ['25+67=92', '92-90=2'] Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,87 unequal: No Solution Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,87 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 87:[90, 84], Operations: ['25+67=92', '92-8=84'] Exploring Operation: 90*84=7560, Resulting Numbers: [7560] 7560,87 unequal: No Solution Exploring Operation: 90+84=174, Resulting Numbers: [174] 174,87 unequal: No Solution Exploring Operation: 90-84=6, Resulting Numbers: [6] 6,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 87:[92, 82], Operations: ['25+67=92', '90-8=82'] Exploring Operation: 92-82=10, Resulting Numbers: [10] 10,87 unequal: No Solution Exploring Operation: 92*82=7544, Resulting Numbers: [7544] 7544,87 unequal: No Solution Exploring Operation: 92+82=174, Resulting Numbers: [174] 174,87 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: 87:[25, 8, 23], Operations: ['90-67=23'] Exploring Operation: 25+8=33, Resulting Numbers: [23, 33] Generated Node #0,1,0: 87:[23, 33] Operation: 25+8=33 Exploring Operation: 25-23=2, Resulting Numbers: [8, 2] Generated Node #0,1,1: 87:[8, 2] Operation: 25-23=2 Exploring Operation: 8+23=31, Resulting Numbers: [25, 31] Generated Node #0,1,2: 87:[25, 31] Operation: 8+23=31 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 87:[8, 2], Operations: ['90-67=23', '25-23=2'] Exploring Operation: 8-2=6, Resulting Numbers: [6] 6,87 unequal: No Solution Exploring Operation: 8+2=10, Resulting Numbers: [10] 10,87 unequal: No Solution Exploring Operation: 8/2=4, Resulting Numbers: [4] 4,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 87:[25, 31], Operations: ['90-67=23', '8+23=31'] Exploring Operation: 31-25=6, Resulting Numbers: [6] 6,87 unequal: No Solution Exploring Operation: 25+31=56, Resulting Numbers: [56] 56,87 unequal: No Solution Exploring Operation: 25*31=775, Resulting Numbers: [775] 775,87 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 87:[23, 33], Operations: ['90-67=23', '25+8=33'] Exploring Operation: 33-23=10, Resulting Numbers: [10] 10,87 unequal: No Solution Exploring Operation: 23+33=56, Resulting Numbers: [56] 56,87 unequal: No Solution Exploring Operation: 23*33=759, Resulting Numbers: [759] 759,87 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: 87:[25, 90, 75], Operations: ['67+8=75'] Exploring Operation: 25+75=100, Resulting Numbers: [90, 100] Generated Node #0,0,0: 87:[90, 100] Operation: 25+75=100 Exploring Operation: 90-75=15, Resulting Numbers: [25, 15] Generated Node #0,0,1: 87:[25, 15] Operation: 90-75=15 Exploring Operation: 75/25=3, Resulting Numbers: [90, 3] Generated Node #0,0,2: 87:[90, 3] Operation: 75/25=3 Moving to Node #0,0,2 Current State: 87:[90, 3], Operations: ['67+8=75', '75/25=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached Moving to Node #0 Current State: 87:[25, 67, 8, 90], Operations: [] Exploring Operation: 67+8=75, Resulting Numbers: [25, 90, 75] Generated Node #0,0: 87:[25, 90, 75] Operation: 67+8=75 Moving to Node #0,0 Current State: 87:[25, 90, 75], Operations: ['67+8=75'] Exploring Operation: 75/25=3, Resulting Numbers: [90, 3] Generated Node #0,0,2: 87:[90, 3] Operation: 75/25=3 Moving to Node #0,0,2 Current State: 87:[90, 3], Operations: ['67+8=75', '75/25=3'] Exploring Operation: 90-3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
0.969618
hs_3
sum_heuristic
[ 26, 4, 39, 86 ]
77
[ "26+4=30", "86-39=47", "30+47=77" ]
Current State: 77:[26, 4, 39, 86], Operations: [] Exploring Operation: 26+4=30, Resulting Numbers: [39, 86, 30] Generated Node #2: [39, 86, 30] from Operation: 26+4=30 Current State: 77:[39, 86, 30], Operations: ['26+4=30'] Exploring Operation: 86-39=47, Resulting Numbers: [30, 47] Generated Node #3: [30, 47] from Operation: 86-39=47 Current State: 77:[30, 47], Operations: ['26+4=30', '86-39=47'] Exploring Operation: 30+47=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[26, 4, 39, 86], Operations: [] Exploring Operation: 26+39=65, Resulting Numbers: [4, 86, 65] Generated Node #0,0: 77:[4, 86, 65] Operation: 26+39=65 Exploring Operation: 26-4=22, Resulting Numbers: [39, 86, 22] Generated Node #0,1: 77:[39, 86, 22] Operation: 26-4=22 Exploring Operation: 39-26=13, Resulting Numbers: [4, 86, 13] Generated Node #0,2: 77:[4, 86, 13] Operation: 39-26=13 Start Sub Search at level 1: Moving to Node #0,2 Current State: 77:[4, 86, 13], Operations: ['39-26=13'] Exploring Operation: 13-4=9, Resulting Numbers: [86, 9] Generated Node #0,2,0: 77:[86, 9] Operation: 13-4=9 Exploring Operation: 86-13=73, Resulting Numbers: [4, 73] Generated Node #0,2,1: 77:[4, 73] Operation: 86-13=73 Exploring Operation: 86-4=82, Resulting Numbers: [13, 82] Generated Node #0,2,2: 77:[13, 82] Operation: 86-4=82 Moving to Node #0,2,1 Current State: 77:[4, 73], Operations: ['39-26=13', '86-13=73'] Exploring Operation: 4+73=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[26, 4, 39, 86], Operations: [] Exploring Operation: 39-26=13, Resulting Numbers: [4, 86, 13] Generated Node #0,2: 77:[4, 86, 13] Operation: 39-26=13 Moving to Node #0,2 Current State: 77:[4, 86, 13], Operations: ['39-26=13'] Exploring Operation: 86-13=73, Resulting Numbers: [4, 73] Generated Node #0,2,1: 77:[4, 73] Operation: 86-13=73 Moving to Node #0,2,1 Current State: 77:[4, 73], Operations: ['39-26=13', '86-13=73'] Exploring Operation: 4+73=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 94, 47, 47, 52 ]
21
[ "94/47=2", "52/2=26", "47-26=21" ]
Current State: 21:[94, 47, 47, 52], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [52, 2] Generated Node #2: [52, 2] from Operation: 94/47=2 Current State: 21:[52, 2], Operations: ['94/47=2'] Exploring Operation: 52/2=26, Resulting Numbers: [26] 26,21 equal: Goal Reached Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[94, 47, 47, 52], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [47, 52, 2] Generated Node #0,0: 21:[47, 52, 2] Operation: 94/47=2 Exploring Operation: 94-52=42, Resulting Numbers: [47, 47, 42] Generated Node #0,1: 21:[47, 47, 42] Operation: 94-52=42 Exploring Operation: 94-47=47, Resulting Numbers: [47, 52, 47] Generated Node #0,2: 21:[47, 52, 47] Operation: 94-47=47 Exploring Operation: 94/47=2, Resulting Numbers: [47, 52, 2] Generated Node #0,3: 21:[47, 52, 2] Operation: 94/47=2 Moving to Node #0,0 Current State: 21:[47, 52, 2], Operations: ['94/47=2'] Exploring Operation: 52-47=5, Resulting Numbers: [2, 5] Generated Node #0,0,0: 21:[2, 5] Operation: 52-47=5 Exploring Operation: 47-2=45, Resulting Numbers: [52, 45] Generated Node #0,0,1: 21:[52, 45] Operation: 47-2=45 Exploring Operation: 52-2=50, Resulting Numbers: [47, 50] Generated Node #0,0,2: 21:[47, 50] Operation: 52-2=50 Exploring Operation: 52/2=26, Resulting Numbers: [47, 26] Generated Node #0,0,3: 21:[47, 26] Operation: 52/2=26 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 21:[2, 5], Operations: ['94/47=2', '52-47=5'] Exploring Operation: 2+5=7, Resulting Numbers: [7] 7,21 unequal: No Solution Exploring Operation: 2*5=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 5-2=3, Resulting Numbers: [3] 3,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 21:[47, 26], Operations: ['94/47=2', '52/2=26'] Exploring Operation: 47+26=73, Resulting Numbers: [73] 73,21 unequal: No Solution Exploring Operation: 47*26=1222, Resulting Numbers: [1222] 1222,21 unequal: No Solution Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[94, 47, 47, 52], Operations: [] Exploring Operation: 94/47=2, Resulting Numbers: [47, 52, 2] Generated Node #0,0: 21:[47, 52, 2] Operation: 94/47=2 Moving to Node #0,0 Current State: 21:[47, 52, 2], Operations: ['94/47=2'] Exploring Operation: 52/2=26, Resulting Numbers: [47, 26] Generated Node #0,0,3: 21:[47, 26] Operation: 52/2=26 Moving to Node #0,0,3 Current State: 21:[47, 26], Operations: ['94/47=2', '52/2=26'] Exploring Operation: 47-26=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1
0.984375
hs_4
sum_heuristic
[ 35, 54, 68, 70 ]
49
[ "35+54=89", "68+70=138", "138-89=49" ]
Current State: 49:[35, 54, 68, 70], Operations: [] Exploring Operation: 35+54=89, Resulting Numbers: [68, 70, 89] Generated Node #2: [68, 70, 89] from Operation: 35+54=89 Current State: 49:[68, 70, 89], Operations: ['35+54=89'] Exploring Operation: 68+70=138, Resulting Numbers: [89, 138] Generated Node #3: [89, 138] from Operation: 68+70=138 Current State: 49:[89, 138], Operations: ['35+54=89', '68+70=138'] Exploring Operation: 138-89=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[35, 54, 68, 70], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [35, 54, 2] Generated Node #0,0: 49:[35, 54, 2] Operation: 70-68=2 Exploring Operation: 70/35=2, Resulting Numbers: [54, 68, 2] Generated Node #0,1: 49:[54, 68, 2] Operation: 70/35=2 Exploring Operation: 68-35=33, Resulting Numbers: [54, 70, 33] Generated Node #0,2: 49:[54, 70, 33] Operation: 68-35=33 Exploring Operation: 70-35=35, Resulting Numbers: [54, 68, 35] Generated Node #0,3: 49:[54, 68, 35] Operation: 70-35=35 Moving to Node #0,0 Current State: 49:[35, 54, 2], Operations: ['70-68=2'] Exploring Operation: 35-2=33, Resulting Numbers: [54, 33] Generated Node #0,0,0: 49:[54, 33] Operation: 35-2=33 Exploring Operation: 35+2=37, Resulting Numbers: [54, 37] Generated Node #0,0,1: 49:[54, 37] Operation: 35+2=37 Exploring Operation: 54-2=52, Resulting Numbers: [35, 52] Generated Node #0,0,2: 49:[35, 52] Operation: 54-2=52 Exploring Operation: 54-35=19, Resulting Numbers: [2, 19] Generated Node #0,0,3: 49:[2, 19] Operation: 54-35=19 Moving to Node #0,1 Current State: 49:[54, 68, 2], Operations: ['70/35=2'] Exploring Operation: 68-2=66, Resulting Numbers: [54, 66] Generated Node #0,1,0: 49:[54, 66] Operation: 68-2=66 Exploring Operation: 68/2=34, Resulting Numbers: [54, 34] Generated Node #0,1,1: 49:[54, 34] Operation: 68/2=34 Exploring Operation: 54-2=52, Resulting Numbers: [68, 52] Generated Node #0,1,2: 49:[68, 52] Operation: 54-2=52 Exploring Operation: 68-54=14, Resulting Numbers: [2, 14] Generated Node #0,1,3: 49:[2, 14] Operation: 68-54=14 Moving to Node #0,3 Current State: 49:[54, 68, 35], Operations: ['70-35=35'] Exploring Operation: 54-35=19, Resulting Numbers: [68, 19] Generated Node #0,3,0: 49:[68, 19] Operation: 54-35=19 Exploring Operation: 68-54=14, Resulting Numbers: [35, 14] Generated Node #0,3,1: 49:[35, 14] Operation: 68-54=14 Exploring Operation: 54+35=89, Resulting Numbers: [68, 89] Generated Node #0,3,2: 49:[68, 89] Operation: 54+35=89 Exploring Operation: 68-35=33, Resulting Numbers: [54, 33] Generated Node #0,3,3: 49:[54, 33] Operation: 68-35=33 Moving to Node #0,2 Current State: 49:[54, 70, 33], Operations: ['68-35=33'] Exploring Operation: 54+33=87, Resulting Numbers: [70, 87] Generated Node #0,2,0: 49:[70, 87] Operation: 54+33=87 Exploring Operation: 70-33=37, Resulting Numbers: [54, 37] Generated Node #0,2,1: 49:[54, 37] Operation: 70-33=37 Exploring Operation: 70-54=16, Resulting Numbers: [33, 16] Generated Node #0,2,2: 49:[33, 16] Operation: 70-54=16 Exploring Operation: 54-33=21, Resulting Numbers: [70, 21] Generated Node #0,2,3: 49:[70, 21] Operation: 54-33=21 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 49:[54, 37], Operations: ['68-35=33', '70-33=37'] Exploring Operation: 54-37=17, Resulting Numbers: [17] 17,49 unequal: No Solution Exploring Operation: 54+37=91, Resulting Numbers: [91] 91,49 unequal: No Solution Exploring Operation: 54*37=1998, Resulting Numbers: [1998] 1998,49 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 49:[33, 16], Operations: ['68-35=33', '70-54=16'] Exploring Operation: 33-16=17, Resulting Numbers: [17] 17,49 unequal: No Solution Exploring Operation: 33*16=528, Resulting Numbers: [528] 528,49 unequal: No Solution Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[35, 54, 68, 70], Operations: [] Exploring Operation: 68-35=33, Resulting Numbers: [54, 70, 33] Generated Node #0,2: 49:[54, 70, 33] Operation: 68-35=33 Moving to Node #0,2 Current State: 49:[54, 70, 33], Operations: ['68-35=33'] Exploring Operation: 70-54=16, Resulting Numbers: [33, 16] Generated Node #0,2,2: 49:[33, 16] Operation: 70-54=16 Moving to Node #0,2,2 Current State: 49:[33, 16], Operations: ['68-35=33', '70-54=16'] Exploring Operation: 33+16=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_4
sum_heuristic
[ 27, 44, 9, 41 ]
88
[ "27/9=3", "44+41=85", "3+85=88" ]
Current State: 88:[27, 44, 9, 41], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [44, 41, 3] Generated Node #2: [44, 41, 3] from Operation: 27/9=3 Current State: 88:[44, 41, 3], Operations: ['27/9=3'] Exploring Operation: 44+41=85, Resulting Numbers: [3, 85] Generated Node #3: [3, 85] from Operation: 44+41=85 Current State: 88:[3, 85], Operations: ['27/9=3', '44+41=85'] Exploring Operation: 3+85=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[27, 44, 9, 41], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [44, 9, 14] Generated Node #0,0: 88:[44, 9, 14] Operation: 41-27=14 Exploring Operation: 44-27=17, Resulting Numbers: [9, 41, 17] Generated Node #0,1: 88:[9, 41, 17] Operation: 44-27=17 Exploring Operation: 27-9=18, Resulting Numbers: [44, 41, 18] Generated Node #0,2: 88:[44, 41, 18] Operation: 27-9=18 Exploring Operation: 44-41=3, Resulting Numbers: [27, 9, 3] Generated Node #0,3: 88:[27, 9, 3] Operation: 44-41=3 Exploring Operation: 27/9=3, Resulting Numbers: [44, 41, 3] Generated Node #0,4: 88:[44, 41, 3] Operation: 27/9=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 88:[44, 9, 14], Operations: ['41-27=14'] Exploring Operation: 9+14=23, Resulting Numbers: [44, 23] Generated Node #0,0,0: 88:[44, 23] Operation: 9+14=23 Exploring Operation: 44-14=30, Resulting Numbers: [9, 30] Generated Node #0,0,1: 88:[9, 30] Operation: 44-14=30 Exploring Operation: 44-9=35, Resulting Numbers: [14, 35] Generated Node #0,0,2: 88:[14, 35] Operation: 44-9=35 Exploring Operation: 14-9=5, Resulting Numbers: [44, 5] Generated Node #0,0,3: 88:[44, 5] Operation: 14-9=5 Exploring Operation: 44+9=53, Resulting Numbers: [14, 53] Generated Node #0,0,4: 88:[14, 53] Operation: 44+9=53 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 88:[44, 23], Operations: ['41-27=14', '9+14=23'] Exploring Operation: 44*23=1012, Resulting Numbers: [1012] 1012,88 unequal: No Solution Exploring Operation: 44+23=67, Resulting Numbers: [67] 67,88 unequal: No Solution Exploring Operation: 44-23=21, Resulting Numbers: [21] 21,88 unequal: No Solution No 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: 88:[44, 5], Operations: ['41-27=14', '14-9=5'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,88 unequal: No Solution Exploring Operation: 44+5=49, Resulting Numbers: [49] 49,88 unequal: No Solution Exploring Operation: 44*5=220, Resulting Numbers: [220] 220,88 unequal: No Solution No 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: 88:[9, 30], Operations: ['41-27=14', '44-14=30'] Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,88 unequal: No Solution Exploring Operation: 9*30=270, Resulting Numbers: [270] 270,88 unequal: No Solution Exploring Operation: 9+30=39, Resulting Numbers: [39] 39,88 unequal: No Solution No 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: 88:[14, 35], Operations: ['41-27=14', '44-9=35'] Exploring Operation: 14*35=490, Resulting Numbers: [490] 490,88 unequal: No Solution Exploring Operation: 35-14=21, Resulting Numbers: [21] 21,88 unequal: No Solution Exploring Operation: 14+35=49, Resulting Numbers: [49] 49,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 88:[14, 53], Operations: ['41-27=14', '44+9=53'] Exploring Operation: 53-14=39, Resulting Numbers: [39] 39,88 unequal: No Solution Exploring Operation: 14+53=67, Resulting Numbers: [67] 67,88 unequal: No Solution Exploring Operation: 14*53=742, Resulting Numbers: [742] 742,88 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 88:[44, 41, 3], Operations: ['27/9=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41, 41] Generated Node #0,4,0: 88:[41, 41] Operation: 44-3=41 Exploring Operation: 41+3=44, Resulting Numbers: [44, 44] Generated Node #0,4,1: 88:[44, 44] Operation: 41+3=44 Exploring Operation: 44+3=47, Resulting Numbers: [41, 47] Generated Node #0,4,2: 88:[41, 47] Operation: 44+3=47 Exploring Operation: 44+41=85, Resulting Numbers: [3, 85] Generated Node #0,4,3: 88:[3, 85] Operation: 44+41=85 Exploring Operation: 44-41=3, Resulting Numbers: [3, 3] Generated Node #0,4,4: 88:[3, 3] Operation: 44-41=3 Moving to Node #0,4,1 Current State: 88:[44, 44], Operations: ['27/9=3', '41+3=44'] Exploring Operation: 44-44=0, Resulting Numbers: [0] 0,88 unequal: No Solution Exploring Operation: 44+44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[27, 44, 9, 41], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [44, 41, 3] Generated Node #0,4: 88:[44, 41, 3] Operation: 27/9=3 Moving to Node #0,4 Current State: 88:[44, 41, 3], Operations: ['27/9=3'] Exploring Operation: 41+3=44, Resulting Numbers: [44, 44] Generated Node #0,4,1: 88:[44, 44] Operation: 41+3=44 Moving to Node #0,4,1 Current State: 88:[44, 44], Operations: ['27/9=3', '41+3=44'] Exploring Operation: 44+44=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_5
sum_heuristic
[ 68, 85, 7, 41 ]
31
[ "85-68=17", "7+41=48", "48-17=31" ]
Current State: 31:[68, 85, 7, 41], Operations: [] Exploring Operation: 85-68=17, Resulting Numbers: [7, 41, 17] Generated Node #2: [7, 41, 17] from Operation: 85-68=17 Current State: 31:[7, 41, 17], Operations: ['85-68=17'] Exploring Operation: 7+41=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 7+41=48 Current State: 31:[17, 48], Operations: ['85-68=17', '7+41=48'] Exploring Operation: 48-17=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[68, 85, 7, 41], Operations: [] Exploring Operation: 85-41=44, Resulting Numbers: [68, 7, 44] Generated Node #0,0: 31:[68, 7, 44] Operation: 85-41=44 Exploring Operation: 85-68=17, Resulting Numbers: [7, 41, 17] Generated Node #0,1: 31:[7, 41, 17] Operation: 85-68=17 Start Sub Search at level 1: Moving to Node #0,1 Current State: 31:[7, 41, 17], Operations: ['85-68=17'] Exploring Operation: 41-7=34, Resulting Numbers: [17, 34] Generated Node #0,1,0: 31:[17, 34] Operation: 41-7=34 Exploring Operation: 7+17=24, Resulting Numbers: [41, 24] Generated Node #0,1,1: 31:[41, 24] Operation: 7+17=24 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 31:[17, 34], Operations: ['85-68=17', '41-7=34'] Exploring Operation: 17+34=51, Resulting Numbers: [51] 51,31 unequal: No Solution Exploring Operation: 34-17=17, Resulting Numbers: [17] 17,31 unequal: No Solution No 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: 31:[41, 24], Operations: ['85-68=17', '7+17=24'] Exploring Operation: 41-24=17, Resulting Numbers: [17] 17,31 unequal: No Solution Exploring Operation: 41+24=65, Resulting Numbers: [65] 65,31 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: 31:[68, 7, 44], Operations: ['85-41=44'] Exploring Operation: 68-7=61, Resulting Numbers: [44, 61] Generated Node #0,0,0: 31:[44, 61] Operation: 68-7=61 Exploring Operation: 68-44=24, Resulting Numbers: [7, 24] Generated Node #0,0,1: 31:[7, 24] Operation: 68-44=24 Moving to Node #0,0,1 Current State: 31:[7, 24], Operations: ['85-41=44', '68-44=24'] Exploring Operation: 24-7=17, Resulting Numbers: [17] 17,31 unequal: No Solution Exploring Operation: 7+24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[68, 85, 7, 41], Operations: [] Exploring Operation: 85-41=44, Resulting Numbers: [68, 7, 44] Generated Node #0,0: 31:[68, 7, 44] Operation: 85-41=44 Moving to Node #0,0 Current State: 31:[68, 7, 44], Operations: ['85-41=44'] Exploring Operation: 68-44=24, Resulting Numbers: [7, 24] Generated Node #0,0,1: 31:[7, 24] Operation: 68-44=24 Moving to Node #0,0,1 Current State: 31:[7, 24], Operations: ['85-41=44', '68-44=24'] Exploring Operation: 7+24=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_2
mult_heuristic
[ 16, 2, 52, 44 ]
22
[ "16-2=14", "52-44=8", "14+8=22" ]
Current State: 22:[16, 2, 52, 44], Operations: [] Exploring Operation: 16-2=14, Resulting Numbers: [52, 44, 14] Generated Node #2: [52, 44, 14] from Operation: 16-2=14 Current State: 22:[52, 44, 14], Operations: ['16-2=14'] Exploring Operation: 52-44=8, Resulting Numbers: [14, 8] Generated Node #3: [14, 8] from Operation: 52-44=8 Current State: 22:[14, 8], Operations: ['16-2=14', '52-44=8'] Exploring Operation: 14+8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[16, 2, 52, 44], Operations: [] Exploring Operation: 52-44=8, Resulting Numbers: [16, 2, 8] Generated Node #0,0: 22:[16, 2, 8] Operation: 52-44=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 22:[16, 2, 8], Operations: ['52-44=8'] Exploring Operation: 16/8=2, Resulting Numbers: [2, 2] Generated Node #0,0,0: 22:[2, 2] Operation: 16/8=2 Moving to Node #0,0,0 Current State: 22:[2, 2], Operations: ['52-44=8', '16/8=2'] Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,22 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
[ 17, 70, 17, 92 ]
56
[ "70-17=53", "17+92=109", "109-53=56" ]
Current State: 56:[17, 70, 17, 92], Operations: [] Exploring Operation: 70-17=53, Resulting Numbers: [92, 53] Generated Node #2: [92, 53] from Operation: 70-17=53 Current State: 56:[92, 53], Operations: ['70-17=53'] Exploring Operation: 17+92=109, Resulting Numbers: [53, 109] Generated Node #3: [53, 109] from Operation: 17+92=109 Current State: 56:[53, 109], Operations: ['70-17=53', '17+92=109'] Exploring Operation: 109-53=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[17, 70, 17, 92], Operations: [] Exploring Operation: 92-70=22, Resulting Numbers: [17, 17, 22] Generated Node #0,0: 56:[17, 17, 22] Operation: 92-70=22 Exploring Operation: 92-17=75, Resulting Numbers: [70, 17, 75] Generated Node #0,1: 56:[70, 17, 75] Operation: 92-17=75 Exploring Operation: 92-17=75, Resulting Numbers: [17, 70, 75] Generated Node #0,2: 56:[17, 70, 75] Operation: 92-17=75 Moving to Node #0,0 Current State: 56:[17, 17, 22], Operations: ['92-70=22'] Exploring Operation: 22-17=5, Resulting Numbers: [17, 5] Generated Node #0,0,0: 56:[17, 5] Operation: 22-17=5 Exploring Operation: 22-17=5, Resulting Numbers: [17, 5] Generated Node #0,0,1: 56:[17, 5] Operation: 22-17=5 Exploring Operation: 17/17=1, Resulting Numbers: [22, 1] Generated Node #0,0,2: 56:[22, 1] Operation: 17/17=1 Moving to Node #0,1 Current State: 56:[70, 17, 75], Operations: ['92-17=75'] Exploring Operation: 75-70=5, Resulting Numbers: [17, 5] Generated Node #0,1,0: 56:[17, 5] Operation: 75-70=5 Exploring Operation: 75-17=58, Resulting Numbers: [70, 58] Generated Node #0,1,1: 56:[70, 58] Operation: 75-17=58 Exploring Operation: 70-17=53, Resulting Numbers: [75, 53] Generated Node #0,1,2: 56:[75, 53] Operation: 70-17=53 Moving to Node #0,2 Current State: 56:[17, 70, 75], Operations: ['92-17=75'] Exploring Operation: 75-70=5, Resulting Numbers: [17, 5] Generated Node #0,2,0: 56:[17, 5] Operation: 75-70=5 Exploring Operation: 75-17=58, Resulting Numbers: [70, 58] Generated Node #0,2,1: 56:[70, 58] Operation: 75-17=58 Exploring Operation: 70-17=53, Resulting Numbers: [75, 53] Generated Node #0,2,2: 56:[75, 53] Operation: 70-17=53 Moving to Node #0,0,0 Current State: 56:[17, 5], Operations: ['92-70=22', '22-17=5'] Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,56 unequal: No Solution Moving to Node #0,2,0 Current State: 56:[17, 5], Operations: ['92-17=75', '75-70=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,56 unequal: No Solution Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,56 unequal: No Solution Moving to Node #0,0,1 Current State: 56:[17, 5], Operations: ['92-70=22', '22-17=5'] Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,56 unequal: No Solution Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,56 unequal: No Solution Moving to Node #0,1,0 Current State: 56:[17, 5], Operations: ['92-17=75', '75-70=5'] Exploring Operation: 17*5=85, Resulting Numbers: [85] 85,56 unequal: No Solution Exploring Operation: 17-5=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 17+5=22, Resulting Numbers: [22] 22,56 unequal: No Solution Moving to Node #0,0,2 Current State: 56:[22, 1], Operations: ['92-70=22', '17/17=1'] Exploring Operation: 22/1=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 22+1=23, Resulting Numbers: [23] 23,56 unequal: No Solution Exploring Operation: 22*1=22, Resulting Numbers: [22] 22,56 unequal: No Solution Moving to Node #0,1,1 Current State: 56:[70, 58], Operations: ['92-17=75', '75-17=58'] Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 70+58=128, Resulting Numbers: [128] 128,56 unequal: No Solution Exploring Operation: 70*58=4060, Resulting Numbers: [4060] 4060,56 unequal: No Solution Moving to Node #0,2,1 Current State: 56:[70, 58], Operations: ['92-17=75', '75-17=58'] Exploring Operation: 70+58=128, Resulting Numbers: [128] 128,56 unequal: No Solution Exploring Operation: 70-58=12, Resulting Numbers: [12] 12,56 unequal: No Solution Exploring Operation: 70*58=4060, Resulting Numbers: [4060] 4060,56 unequal: No Solution Moving to Node #0,2,2 Current State: 56:[75, 53], Operations: ['92-17=75', '70-17=53'] Exploring Operation: 75-53=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 75*53=3975, Resulting Numbers: [3975] 3975,56 unequal: No Solution Exploring Operation: 75+53=128, Resulting Numbers: [128] 128,56 unequal: No Solution Moving to Node #0,1,2 Current State: 56:[75, 53], Operations: ['92-17=75', '70-17=53'] Exploring Operation: 75+53=128, Resulting Numbers: [128] 128,56 unequal: No Solution Exploring Operation: 75-53=22, Resulting Numbers: [22] 22,56 unequal: No Solution Exploring Operation: 75*53=3975, Resulting Numbers: [3975] 3975,56 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 62, 33, 75, 22 ]
12
[ "75*22=1650", "1650/33=50", "62-50=12" ]
Current State: 12:[62, 33, 75, 22], Operations: [] Exploring Operation: 75*22=1650, Resulting Numbers: [62, 33, 1650] Generated Node #2: [62, 33, 1650] from Operation: 75*22=1650 Current State: 12:[62, 33, 1650], Operations: ['75*22=1650'] Exploring Operation: 1650/33=50, Resulting Numbers: [62, 50] Generated Node #3: [62, 50] from Operation: 1650/33=50 Current State: 12:[62, 50], Operations: ['75*22=1650', '1650/33=50'] Exploring Operation: 62-50=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[62, 33, 75, 22], Operations: [] Exploring Operation: 62-22=40, Resulting Numbers: [33, 75, 40] Generated Node #0,0: 12:[33, 75, 40] Operation: 62-22=40 Exploring Operation: 75-22=53, Resulting Numbers: [62, 33, 53] Generated Node #0,1: 12:[62, 33, 53] Operation: 75-22=53 Exploring Operation: 75-33=42, Resulting Numbers: [62, 22, 42] Generated Node #0,2: 12:[62, 22, 42] Operation: 75-33=42 Exploring Operation: 75-62=13, Resulting Numbers: [33, 22, 13] Generated Node #0,3: 12:[33, 22, 13] Operation: 75-62=13 Exploring Operation: 62-33=29, Resulting Numbers: [75, 22, 29] Generated Node #0,4: 12:[75, 22, 29] Operation: 62-33=29 Moving to Node #0,3 Current State: 12:[33, 22, 13], Operations: ['75-62=13'] Exploring Operation: 33+13=46, Resulting Numbers: [22, 46] Generated Node #0,3,0: 12:[22, 46] Operation: 33+13=46 Exploring Operation: 22-13=9, Resulting Numbers: [33, 9] Generated Node #0,3,1: 12:[33, 9] Operation: 22-13=9 Exploring Operation: 33-22=11, Resulting Numbers: [13, 11] Generated Node #0,3,2: 12:[13, 11] Operation: 33-22=11 Exploring Operation: 33+22=55, Resulting Numbers: [13, 55] Generated Node #0,3,3: 12:[13, 55] Operation: 33+22=55 Exploring Operation: 33-13=20, Resulting Numbers: [22, 20] Generated Node #0,3,4: 12:[22, 20] Operation: 33-13=20 Moving to Node #0,4 Current State: 12:[75, 22, 29], Operations: ['62-33=29'] Exploring Operation: 75-22=53, Resulting Numbers: [29, 53] Generated Node #0,4,0: 12:[29, 53] Operation: 75-22=53 Exploring Operation: 75-29=46, Resulting Numbers: [22, 46] Generated Node #0,4,1: 12:[22, 46] Operation: 75-29=46 Exploring Operation: 75+22=97, Resulting Numbers: [29, 97] Generated Node #0,4,2: 12:[29, 97] Operation: 75+22=97 Exploring Operation: 29-22=7, Resulting Numbers: [75, 7] Generated Node #0,4,3: 12:[75, 7] Operation: 29-22=7 Exploring Operation: 75+29=104, Resulting Numbers: [22, 104] Generated Node #0,4,4: 12:[22, 104] Operation: 75+29=104 Moving to Node #0,2 Current State: 12:[62, 22, 42], Operations: ['75-33=42'] Exploring Operation: 62+22=84, Resulting Numbers: [42, 84] Generated Node #0,2,0: 12:[42, 84] Operation: 62+22=84 Exploring Operation: 42-22=20, Resulting Numbers: [62, 20] Generated Node #0,2,1: 12:[62, 20] Operation: 42-22=20 Exploring Operation: 62-42=20, Resulting Numbers: [22, 20] Generated Node #0,2,2: 12:[22, 20] Operation: 62-42=20 Exploring Operation: 62-22=40, Resulting Numbers: [42, 40] Generated Node #0,2,3: 12:[42, 40] Operation: 62-22=40 Exploring Operation: 62+42=104, Resulting Numbers: [22, 104] Generated Node #0,2,4: 12:[22, 104] Operation: 62+42=104 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 12:[22, 20], Operations: ['75-33=42', '62-42=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,12 unequal: No Solution Exploring Operation: 22-20=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 22*20=440, Resulting Numbers: [440] 440,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 12:[62, 20], Operations: ['75-33=42', '42-22=20'] Exploring Operation: 62*20=1240, Resulting Numbers: [1240] 1240,12 unequal: No Solution Exploring Operation: 62+20=82, Resulting Numbers: [82] 82,12 unequal: No Solution Exploring Operation: 62-20=42, Resulting Numbers: [42] 42,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 12:[42, 40], Operations: ['75-33=42', '62-22=40'] Exploring Operation: 42*40=1680, Resulting Numbers: [1680] 1680,12 unequal: No Solution Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 42+40=82, Resulting Numbers: [82] 82,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 12:[42, 84], Operations: ['75-33=42', '62+22=84'] Exploring Operation: 42+84=126, Resulting Numbers: [126] 126,12 unequal: No Solution Exploring Operation: 42*84=3528, Resulting Numbers: [3528] 3528,12 unequal: No Solution Exploring Operation: 84/42=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 84-42=42, Resulting Numbers: [42] 42,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 12:[22, 104], Operations: ['75-33=42', '62+42=104'] Exploring Operation: 104-22=82, Resulting Numbers: [82] 82,12 unequal: No Solution Exploring Operation: 22*104=2288, Resulting Numbers: [2288] 2288,12 unequal: No Solution Exploring Operation: 22+104=126, Resulting Numbers: [126] 126,12 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: 12:[33, 75, 40], Operations: ['62-22=40'] Exploring Operation: 33+75=108, Resulting Numbers: [40, 108] Generated Node #0,0,0: 12:[40, 108] Operation: 33+75=108 Exploring Operation: 40-33=7, Resulting Numbers: [75, 7] Generated Node #0,0,1: 12:[75, 7] Operation: 40-33=7 Exploring Operation: 75-33=42, Resulting Numbers: [40, 42] Generated Node #0,0,2: 12:[40, 42] Operation: 75-33=42 Exploring Operation: 33+40=73, Resulting Numbers: [75, 73] Generated Node #0,0,3: 12:[75, 73] Operation: 33+40=73 Exploring Operation: 75-40=35, Resulting Numbers: [33, 35] Generated Node #0,0,4: 12:[33, 35] Operation: 75-40=35 Moving to Node #0,1 Current State: 12:[62, 33, 53], Operations: ['75-22=53'] Exploring Operation: 62-33=29, Resulting Numbers: [53, 29] Generated Node #0,1,0: 12:[53, 29] Operation: 62-33=29 Exploring Operation: 62+53=115, Resulting Numbers: [33, 115] Generated Node #0,1,1: 12:[33, 115] Operation: 62+53=115 Exploring Operation: 53-33=20, Resulting Numbers: [62, 20] Generated Node #0,1,2: 12:[62, 20] Operation: 53-33=20 Exploring Operation: 62+33=95, Resulting Numbers: [53, 95] Generated Node #0,1,3: 12:[53, 95] Operation: 62+33=95 Exploring Operation: 62-53=9, Resulting Numbers: [33, 9] Generated Node #0,1,4: 12:[33, 9] Operation: 62-53=9 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 12:[33, 9], Operations: ['75-22=53', '62-53=9'] Exploring Operation: 33*9=297, Resulting Numbers: [297] 297,12 unequal: No Solution Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 33+9=42, Resulting Numbers: [42] 42,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 12:[53, 29], Operations: ['75-22=53', '62-33=29'] Exploring Operation: 53*29=1537, Resulting Numbers: [1537] 1537,12 unequal: No Solution Exploring Operation: 53+29=82, Resulting Numbers: [82] 82,12 unequal: No Solution Exploring Operation: 53-29=24, Resulting Numbers: [24] 24,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 12:[62, 20], Operations: ['75-22=53', '53-33=20'] Exploring Operation: 62-20=42, Resulting Numbers: [42] 42,12 unequal: No Solution Exploring Operation: 62*20=1240, Resulting Numbers: [1240] 1240,12 unequal: No Solution Exploring Operation: 62+20=82, Resulting Numbers: [82] 82,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 12:[33, 115], Operations: ['75-22=53', '62+53=115'] Exploring Operation: 33*115=3795, Resulting Numbers: [3795] 3795,12 unequal: No Solution Exploring Operation: 33+115=148, Resulting Numbers: [148] 148,12 unequal: No Solution Exploring Operation: 115-33=82, Resulting Numbers: [82] 82,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 12:[53, 95], Operations: ['75-22=53', '62+33=95'] Exploring Operation: 95-53=42, Resulting Numbers: [42] 42,12 unequal: No Solution Exploring Operation: 53+95=148, Resulting Numbers: [148] 148,12 unequal: No Solution Exploring Operation: 53*95=5035, Resulting Numbers: [5035] 5035,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,2 Current State: 12:[13, 11], Operations: ['75-62=13', '33-22=11'] Exploring Operation: 13*11=143, Resulting Numbers: [143] 143,12 unequal: No Solution Exploring Operation: 13-11=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 13+11=24, Resulting Numbers: [24] 24,12 unequal: No Solution Moving to Node #0,3,4 Current State: 12:[22, 20], Operations: ['75-62=13', '33-13=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,12 unequal: No Solution Exploring Operation: 22*20=440, Resulting Numbers: [440] 440,12 unequal: No Solution Exploring Operation: 22-20=2, Resulting Numbers: [2] 2,12 unequal: No Solution Moving to Node #0,3,1 Current State: 12:[33, 9], Operations: ['75-62=13', '22-13=9'] Exploring Operation: 33+9=42, Resulting Numbers: [42] 42,12 unequal: No Solution Exploring Operation: 33-9=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 33*9=297, Resulting Numbers: [297] 297,12 unequal: No Solution Moving to Node #0,4,1 Current State: 12:[22, 46], Operations: ['62-33=29', '75-29=46'] Exploring Operation: 22*46=1012, Resulting Numbers: [1012] 1012,12 unequal: No Solution Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,12 unequal: No Solution Moving to Node #0,3,3 Current State: 12:[13, 55], Operations: ['75-62=13', '33+22=55'] Exploring Operation: 13*55=715, Resulting Numbers: [715] 715,12 unequal: No Solution Exploring Operation: 13+55=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,12 unequal: No Solution Moving to Node #0,0,4 Current State: 12:[33, 35], Operations: ['62-22=40', '75-40=35'] Exploring Operation: 33*35=1155, Resulting Numbers: [1155] 1155,12 unequal: No Solution Exploring Operation: 33+35=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 35-33=2, Resulting Numbers: [2] 2,12 unequal: No Solution Moving to Node #0,3,0 Current State: 12:[22, 46], Operations: ['75-62=13', '33+13=46'] Exploring Operation: 46-22=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 22+46=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 22*46=1012, Resulting Numbers: [1012] 1012,12 unequal: No Solution Moving to Node #0,4,0 Current State: 12:[29, 53], Operations: ['62-33=29', '75-22=53'] Exploring Operation: 53-29=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 29*53=1537, Resulting Numbers: [1537] 1537,12 unequal: No Solution Exploring Operation: 29+53=82, Resulting Numbers: [82] 82,12 unequal: No Solution Moving to Node #0,0,2 Current State: 12:[40, 42], Operations: ['62-22=40', '75-33=42'] Exploring Operation: 42-40=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 40+42=82, Resulting Numbers: [82] 82,12 unequal: No Solution Exploring Operation: 40*42=1680, Resulting Numbers: [1680] 1680,12 unequal: No Solution Moving to Node #0,0,1 Current State: 12:[75, 7], Operations: ['62-22=40', '40-33=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 75*7=525, Resulting Numbers: [525] 525,12 unequal: No Solution Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,12 unequal: No Solution Moving to Node #0,4,3 Current State: 12:[75, 7], Operations: ['62-33=29', '29-22=7'] Exploring Operation: 75-7=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 75*7=525, Resulting Numbers: [525] 525,12 unequal: No Solution Exploring Operation: 75+7=82, Resulting Numbers: [82] 82,12 unequal: No Solution Moving to Node #0,4,4 Current State: 12:[22, 104], Operations: ['62-33=29', '75+29=104'] Exploring Operation: 22+104=126, Resulting Numbers: [126] 126,12 unequal: No Solution Exploring Operation: 104-22=82, Resulting Numbers: [82] 82,12 unequal: No Solution Exploring Operation: 22*104=2288, Resulting Numbers: [2288] 2288,12 unequal: No Solution Moving to Node #0,4,2 Current State: 12:[29, 97], Operations: ['62-33=29', '75+22=97'] Exploring Operation: 29*97=2813, Resulting Numbers: [2813] 2813,12 unequal: No Solution Exploring Operation: 97-29=68, Resulting Numbers: [68] 68,12 unequal: No Solution Exploring Operation: 29+97=126, Resulting Numbers: [126] 126,12 unequal: No Solution Moving to Node #0,0,3 Current State: 12:[75, 73], Operations: ['62-22=40', '33+40=73'] Exploring Operation: 75*73=5475, Resulting Numbers: [5475] 5475,12 unequal: No Solution Exploring Operation: 75-73=2, Resulting Numbers: [2] 2,12 unequal: No Solution Exploring Operation: 75+73=148, Resulting Numbers: [148] 148,12 unequal: No Solution Moving to Node #0,0,0 Current State: 12:[40, 108], Operations: ['62-22=40', '33+75=108'] Exploring Operation: 40+108=148, Resulting Numbers: [148] 148,12 unequal: No Solution Exploring Operation: 40*108=4320, Resulting Numbers: [4320] 4320,12 unequal: No Solution Exploring Operation: 108-40=68, Resulting Numbers: [68] 68,12 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 8, 8, 16, 85 ]
100
[ "8/8=1", "16+85=101", "101-1=100" ]
Current State: 100:[8, 8, 16, 85], Operations: [] Exploring Operation: 8/8=1, Resulting Numbers: [16, 85, 1] Generated Node #2: [16, 85, 1] from Operation: 8/8=1 Current State: 100:[16, 85, 1], Operations: ['8/8=1'] Exploring Operation: 16+85=101, Resulting Numbers: [1, 101] Generated Node #3: [1, 101] from Operation: 16+85=101 Current State: 100:[1, 101], Operations: ['8/8=1', '16+85=101'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[8, 8, 16, 85], Operations: [] Exploring Operation: 16+85=101, Resulting Numbers: [8, 8, 101] Generated Node #0,0: 100:[8, 8, 101] Operation: 16+85=101 Exploring Operation: 8+85=93, Resulting Numbers: [8, 16, 93] Generated Node #0,1: 100:[8, 16, 93] Operation: 8+85=93 Exploring Operation: 8+85=93, Resulting Numbers: [8, 16, 93] Generated Node #0,2: 100:[8, 16, 93] Operation: 8+85=93 Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[8, 8, 101], Operations: ['16+85=101'] Exploring Operation: 8+8=16, Resulting Numbers: [101, 16] Generated Node #0,0,0: 100:[101, 16] Operation: 8+8=16 Exploring Operation: 8/8=1, Resulting Numbers: [101, 1] Generated Node #0,0,1: 100:[101, 1] Operation: 8/8=1 Exploring Operation: 8-8=0, Resulting Numbers: [101, 0] Generated Node #0,0,2: 100:[101, 0] Operation: 8-8=0 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 100:[101, 1], Operations: ['16+85=101', '8/8=1'] Exploring Operation: 101*1=101, Resulting Numbers: [101] 101,100 unequal: No Solution Exploring Operation: 101/1=101, Resulting Numbers: [101] 101,100 unequal: No Solution Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[8, 8, 16, 85], Operations: [] Exploring Operation: 16+85=101, Resulting Numbers: [8, 8, 101] Generated Node #0,0: 100:[8, 8, 101] Operation: 16+85=101 Moving to Node #0,0 Current State: 100:[8, 8, 101], Operations: ['16+85=101'] Exploring Operation: 8/8=1, Resulting Numbers: [101, 1] Generated Node #0,0,1: 100:[101, 1] Operation: 8/8=1 Moving to Node #0,0,1 Current State: 100:[101, 1], Operations: ['16+85=101', '8/8=1'] Exploring Operation: 101-1=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_3
sum_heuristic
[ 18, 9, 18, 2 ]
11
[ "18+9=27", "18-2=16", "27-16=11" ]
Current State: 11:[18, 9, 18, 2], Operations: [] Exploring Operation: 18+9=27, Resulting Numbers: [2, 27] Generated Node #2: [2, 27] from Operation: 18+9=27 Current State: 11:[2, 27], Operations: ['18+9=27'] Exploring Operation: 18-2=16, Resulting Numbers: [27, 16] Generated Node #3: [27, 16] from Operation: 18-2=16 Current State: 11:[27, 16], Operations: ['18+9=27', '18-2=16'] Exploring Operation: 27-16=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[18, 9, 18, 2], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [9, 18, 16] Generated Node #0,0: 11:[9, 18, 16] Operation: 18-2=16 Exploring Operation: 18/2=9, Resulting Numbers: [18, 9, 9] Generated Node #0,1: 11:[18, 9, 9] Operation: 18/2=9 Exploring Operation: 18/2=9, Resulting Numbers: [9, 18, 9] Generated Node #0,2: 11:[9, 18, 9] Operation: 18/2=9 Exploring Operation: 9+2=11, Resulting Numbers: [18, 18, 11] Generated Node #0,3: 11:[18, 18, 11] Operation: 9+2=11 Start Sub Search at level 1: Moving to Node #0,1 Current State: 11:[18, 9, 9], Operations: ['18/2=9'] Exploring Operation: 18-9=9, Resulting Numbers: [9, 9] Generated Node #0,1,0: 11:[9, 9] Operation: 18-9=9 Exploring Operation: 18/9=2, Resulting Numbers: [9, 2] Generated Node #0,1,1: 11:[9, 2] Operation: 18/9=2 Exploring Operation: 18/9=2, Resulting Numbers: [9, 2] Generated Node #0,1,2: 11:[9, 2] Operation: 18/9=2 Exploring Operation: 18-9=9, Resulting Numbers: [9, 9] Generated Node #0,1,3: 11:[9, 9] Operation: 18-9=9 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 11:[9, 9], Operations: ['18/2=9', '18-9=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,11 unequal: No Solution Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,11 unequal: No Solution Exploring Operation: 9/9=1, Resulting Numbers: [1] 1,11 unequal: No Solution Exploring Operation: 9-9=0, Resulting Numbers: [0] 0,11 unequal: No Solution No 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: 11:[9, 9], Operations: ['18/2=9', '18-9=9'] Exploring Operation: 9+9=18, Resulting Numbers: [18] 18,11 unequal: No Solution Exploring Operation: 9-9=0, Resulting Numbers: [0] 0,11 unequal: No Solution Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,11 unequal: No Solution Exploring Operation: 9/9=1, Resulting Numbers: [1] 1,11 unequal: No Solution No 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: 11:[9, 2], Operations: ['18/2=9', '18/9=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,11 unequal: No Solution Exploring Operation: 9-2=7, Resulting Numbers: [7] 7,11 unequal: No Solution Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Moving to Node #0 Current State: 11:[18, 9, 18, 2], Operations: [] Exploring Operation: 18/2=9, Resulting Numbers: [18, 9, 9] Generated Node #0,1: 11:[18, 9, 9] Operation: 18/2=9 Moving to Node #0,1 Current State: 11:[18, 9, 9], Operations: ['18/2=9'] Exploring Operation: 18/9=2, Resulting Numbers: [9, 2] Generated Node #0,1,1: 11:[9, 2] Operation: 18/9=2 Moving to Node #0,1,1 Current State: 11:[9, 2], Operations: ['18/2=9', '18/9=2'] Exploring Operation: 9+2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.980035
hs_4
sum_heuristic
[ 38, 63, 10, 11 ]
85
[ "63-38=25", "10*11=110", "110-25=85" ]
Current State: 85:[38, 63, 10, 11], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 11, 25] Generated Node #2: [10, 11, 25] from Operation: 63-38=25 Current State: 85:[10, 11, 25], Operations: ['63-38=25'] Exploring Operation: 10*11=110, Resulting Numbers: [25, 110] Generated Node #3: [25, 110] from Operation: 10*11=110 Current State: 85:[25, 110], Operations: ['63-38=25', '10*11=110'] Exploring Operation: 110-25=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[38, 63, 10, 11], Operations: [] Exploring Operation: 63-38=25, Resulting Numbers: [10, 11, 25] Generated Node #0,0: 85:[10, 11, 25] Operation: 63-38=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[10, 11, 25], Operations: ['63-38=25'] Exploring Operation: 25-10=15, Resulting Numbers: [11, 15] Generated Node #0,0,0: 85:[11, 15] Operation: 25-10=15 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 85:[11, 15], Operations: ['63-38=25', '25-10=15'] Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,85 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
[ 2, 25, 30, 36 ]
28
[ "25*36=900", "900/30=30", "30-2=28" ]
Current State: 28:[2, 25, 30, 36], Operations: [] Exploring Operation: 25*36=900, Resulting Numbers: [2, 30, 900] Generated Node #2: [2, 30, 900] from Operation: 25*36=900 Current State: 28:[2, 30, 900], Operations: ['25*36=900'] Exploring Operation: 900/30=30, Resulting Numbers: [2, 30] Generated Node #3: [2, 30] from Operation: 900/30=30 Current State: 28:[2, 30], Operations: ['25*36=900', '900/30=30'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[2, 25, 30, 36], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [25, 30, 18] Generated Node #0,0: 28:[25, 30, 18] Operation: 36/2=18 Exploring Operation: 36-30=6, Resulting Numbers: [2, 25, 6] Generated Node #0,1: 28:[2, 25, 6] Operation: 36-30=6 Exploring Operation: 30-25=5, Resulting Numbers: [2, 36, 5] Generated Node #0,2: 28:[2, 36, 5] Operation: 30-25=5 Exploring Operation: 36-25=11, Resulting Numbers: [2, 30, 11] Generated Node #0,3: 28:[2, 30, 11] Operation: 36-25=11 Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[2, 25, 6], Operations: ['36-30=6'] Exploring Operation: 2+25=27, Resulting Numbers: [6, 27] Generated Node #0,1,0: 28:[6, 27] Operation: 2+25=27 Exploring Operation: 6-2=4, Resulting Numbers: [25, 4] Generated Node #0,1,1: 28:[25, 4] Operation: 6-2=4 Exploring Operation: 25+6=31, Resulting Numbers: [2, 31] Generated Node #0,1,2: 28:[2, 31] Operation: 25+6=31 Exploring Operation: 2+6=8, Resulting Numbers: [25, 8] Generated Node #0,1,3: 28:[25, 8] Operation: 2+6=8 Moving to Node #0,1,0 Current State: 28:[6, 27], Operations: ['36-30=6', '2+25=27'] Exploring Operation: 6*27=162, Resulting Numbers: [162] 162,28 unequal: No Solution Exploring Operation: 6+27=33, Resulting Numbers: [33] 33,28 unequal: No Solution Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,28 unequal: No Solution Moving to Node #0,1,2 Current State: 28:[2, 31], Operations: ['36-30=6', '25+6=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,28 unequal: No Solution Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,28 unequal: No Solution Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,28 unequal: No Solution Moving to Node #0,1,1 Current State: 28:[25, 4], Operations: ['36-30=6', '6-2=4'] Exploring Operation: 25-4=21, Resulting Numbers: [21] 21,28 unequal: No Solution Exploring Operation: 25+4=29, Resulting Numbers: [29] 29,28 unequal: No Solution Exploring Operation: 25*4=100, Resulting Numbers: [100] 100,28 unequal: No Solution Moving to Node #0,1,3 Current State: 28:[25, 8], Operations: ['36-30=6', '2+6=8'] Exploring Operation: 25-8=17, Resulting Numbers: [17] 17,28 unequal: No Solution Exploring Operation: 25*8=200, Resulting Numbers: [200] 200,28 unequal: No Solution Exploring Operation: 25+8=33, Resulting Numbers: [33] 33,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 28:[2, 30, 11], Operations: ['36-25=11'] Exploring Operation: 30-2=28, Resulting Numbers: [11, 28] Generated Node #0,3,0: 28:[11, 28] Operation: 30-2=28 Exploring Operation: 30/2=15, Resulting Numbers: [11, 15] Generated Node #0,3,1: 28:[11, 15] Operation: 30/2=15 Exploring Operation: 11-2=9, Resulting Numbers: [30, 9] Generated Node #0,3,2: 28:[30, 9] Operation: 11-2=9 Exploring Operation: 2+11=13, Resulting Numbers: [30, 13] Generated Node #0,3,3: 28:[30, 13] Operation: 2+11=13 Moving to Node #0,3,0 Current State: 28:[11, 28], Operations: ['36-25=11', '30-2=28'] Exploring Operation: 28-11=17, Resulting Numbers: [17] 17,28 unequal: No Solution Exploring Operation: 11*28=308, Resulting Numbers: [308] 308,28 unequal: No Solution Exploring Operation: 11+28=39, Resulting Numbers: [39] 39,28 unequal: No Solution Moving to Node #0,3,3 Current State: 28:[30, 13], Operations: ['36-25=11', '2+11=13'] Exploring Operation: 30+13=43, Resulting Numbers: [43] 43,28 unequal: No Solution Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,28 unequal: No Solution Exploring Operation: 30*13=390, Resulting Numbers: [390] 390,28 unequal: No Solution Moving to Node #0,3,2 Current State: 28:[30, 9], Operations: ['36-25=11', '11-2=9'] Exploring Operation: 30*9=270, Resulting Numbers: [270] 270,28 unequal: No Solution Exploring Operation: 30-9=21, Resulting Numbers: [21] 21,28 unequal: No Solution Exploring Operation: 30+9=39, Resulting Numbers: [39] 39,28 unequal: No Solution Moving to Node #0,3,1 Current State: 28:[11, 15], Operations: ['36-25=11', '30/2=15'] Exploring Operation: 11+15=26, Resulting Numbers: [26] 26,28 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,28 unequal: No Solution Exploring Operation: 11*15=165, Resulting Numbers: [165] 165,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 28:[25, 30, 18], Operations: ['36/2=18'] Exploring Operation: 25+18=43, Resulting Numbers: [30, 43] Generated Node #0,0,0: 28:[30, 43] Operation: 25+18=43 Exploring Operation: 25-18=7, Resulting Numbers: [30, 7] Generated Node #0,0,1: 28:[30, 7] Operation: 25-18=7 Exploring Operation: 30-25=5, Resulting Numbers: [18, 5] Generated Node #0,0,2: 28:[18, 5] Operation: 30-25=5 Exploring Operation: 30-18=12, Resulting Numbers: [25, 12] Generated Node #0,0,3: 28:[25, 12] Operation: 30-18=12 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 28:[30, 7], Operations: ['36/2=18', '25-18=7'] Exploring Operation: 30*7=210, Resulting Numbers: [210] 210,28 unequal: No Solution Exploring Operation: 30+7=37, Resulting Numbers: [37] 37,28 unequal: No Solution Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 28:[18, 5], Operations: ['36/2=18', '30-25=5'] Exploring Operation: 18+5=23, Resulting Numbers: [23] 23,28 unequal: No Solution Exploring Operation: 18*5=90, Resulting Numbers: [90] 90,28 unequal: No Solution Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 28:[25, 12], Operations: ['36/2=18', '30-18=12'] Exploring Operation: 25*12=300, Resulting Numbers: [300] 300,28 unequal: No Solution Exploring Operation: 25+12=37, Resulting Numbers: [37] 37,28 unequal: No Solution Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 28:[30, 43], Operations: ['36/2=18', '25+18=43'] Exploring Operation: 30+43=73, Resulting Numbers: [73] 73,28 unequal: No Solution Exploring Operation: 43-30=13, Resulting Numbers: [13] 13,28 unequal: No Solution Exploring Operation: 30*43=1290, Resulting Numbers: [1290] 1290,28 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 28:[2, 36, 5], Operations: ['30-25=5'] Exploring Operation: 36/2=18, Resulting Numbers: [5, 18] Generated Node #0,2,0: 28:[5, 18] Operation: 36/2=18 Exploring Operation: 36-2=34, Resulting Numbers: [5, 34] Generated Node #0,2,1: 28:[5, 34] Operation: 36-2=34 Exploring Operation: 2+5=7, Resulting Numbers: [36, 7] Generated Node #0,2,2: 28:[36, 7] Operation: 2+5=7 Exploring Operation: 36-5=31, Resulting Numbers: [2, 31] Generated Node #0,2,3: 28:[2, 31] Operation: 36-5=31 Moving to Node #0,2,3 Current State: 28:[2, 31], Operations: ['30-25=5', '36-5=31'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,28 unequal: No Solution Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,28 unequal: No Solution Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,28 unequal: No Solution Moving to Node #0,2,0 Current State: 28:[5, 18], Operations: ['30-25=5', '36/2=18'] Exploring Operation: 5+18=23, Resulting Numbers: [23] 23,28 unequal: No Solution Exploring Operation: 5*18=90, Resulting Numbers: [90] 90,28 unequal: No Solution Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,28 unequal: No Solution Moving to Node #0,2,1 Current State: 28:[5, 34], Operations: ['30-25=5', '36-2=34'] Exploring Operation: 34-5=29, Resulting Numbers: [29] 29,28 unequal: No Solution Exploring Operation: 5+34=39, Resulting Numbers: [39] 39,28 unequal: No Solution Exploring Operation: 5*34=170, Resulting Numbers: [170] 170,28 unequal: No Solution Moving to Node #0,2,2 Current State: 28:[36, 7], Operations: ['30-25=5', '2+5=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,28 unequal: No Solution Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,28 unequal: No Solution Exploring Operation: 36*7=252, Resulting Numbers: [252] 252,28 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 10, 7, 32, 5 ]
21
[ "10+32=42", "7-5=2", "42/2=21" ]
Current State: 21:[10, 7, 32, 5], Operations: [] Exploring Operation: 10+32=42, Resulting Numbers: [7, 5, 42] Generated Node #2: [7, 5, 42] from Operation: 10+32=42 Current State: 21:[7, 5, 42], Operations: ['10+32=42'] Exploring Operation: 7-5=2, Resulting Numbers: [42, 2] Generated Node #3: [42, 2] from Operation: 7-5=2 Current State: 21:[42, 2], Operations: ['10+32=42', '7-5=2'] Exploring Operation: 42/2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[10, 7, 32, 5], Operations: [] Exploring Operation: 32-5=27, Resulting Numbers: [10, 7, 27] Generated Node #0,0: 21:[10, 7, 27] Operation: 32-5=27 Exploring Operation: 10-7=3, Resulting Numbers: [32, 5, 3] Generated Node #0,1: 21:[32, 5, 3] Operation: 10-7=3 Exploring Operation: 10/5=2, Resulting Numbers: [7, 32, 2] Generated Node #0,2: 21:[7, 32, 2] Operation: 10/5=2 Exploring Operation: 32-7=25, Resulting Numbers: [10, 5, 25] Generated Node #0,3: 21:[10, 5, 25] Operation: 32-7=25 Exploring Operation: 32-10=22, Resulting Numbers: [7, 5, 22] Generated Node #0,4: 21:[7, 5, 22] Operation: 32-10=22 Start Sub Search at level 1: Moving to Node #0,4 Current State: 21:[7, 5, 22], Operations: ['32-10=22'] Exploring Operation: 22-7=15, Resulting Numbers: [5, 15] Generated Node #0,4,0: 21:[5, 15] Operation: 22-7=15 Exploring Operation: 5+22=27, Resulting Numbers: [7, 27] Generated Node #0,4,1: 21:[7, 27] Operation: 5+22=27 Exploring Operation: 7-5=2, Resulting Numbers: [22, 2] Generated Node #0,4,2: 21:[22, 2] Operation: 7-5=2 Exploring Operation: 22-5=17, Resulting Numbers: [7, 17] Generated Node #0,4,3: 21:[7, 17] Operation: 22-5=17 Exploring Operation: 7+5=12, Resulting Numbers: [22, 12] Generated Node #0,4,4: 21:[22, 12] Operation: 7+5=12 Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 21:[22, 2], Operations: ['32-10=22', '7-5=2'] Exploring Operation: 22+2=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 22-2=20, Resulting Numbers: [20] 20,21 unequal: No Solution Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,21 unequal: No Solution Exploring Operation: 22*2=44, Resulting Numbers: [44] 44,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 21:[7, 17], Operations: ['32-10=22', '22-5=17'] Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,21 unequal: No Solution Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 21:[7, 27], Operations: ['32-10=22', '5+22=27'] Exploring Operation: 7*27=189, Resulting Numbers: [189] 189,21 unequal: No Solution Exploring Operation: 7+27=34, Resulting Numbers: [34] 34,21 unequal: No Solution Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 21:[22, 12], Operations: ['32-10=22', '7+5=12'] Exploring Operation: 22+12=34, Resulting Numbers: [34] 34,21 unequal: No Solution Exploring Operation: 22*12=264, Resulting Numbers: [264] 264,21 unequal: No Solution Exploring Operation: 22-12=10, Resulting Numbers: [10] 10,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 21:[5, 15], Operations: ['32-10=22', '22-7=15'] Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,21 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,21 unequal: No Solution Exploring Operation: 5+15=20, Resulting Numbers: [20] 20,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 21:[10, 7, 27], Operations: ['32-5=27'] Exploring Operation: 27-7=20, Resulting Numbers: [10, 20] Generated Node #0,0,0: 21:[10, 20] Operation: 27-7=20 Exploring Operation: 27-10=17, Resulting Numbers: [7, 17] Generated Node #0,0,1: 21:[7, 17] Operation: 27-10=17 Exploring Operation: 10+27=37, Resulting Numbers: [7, 37] Generated Node #0,0,2: 21:[7, 37] Operation: 10+27=37 Exploring Operation: 10-7=3, Resulting Numbers: [27, 3] Generated Node #0,0,3: 21:[27, 3] Operation: 10-7=3 Exploring Operation: 10+7=17, Resulting Numbers: [27, 17] Generated Node #0,0,4: 21:[27, 17] Operation: 10+7=17 Moving to Node #0,0,0 Current State: 21:[10, 20], Operations: ['32-5=27', '27-7=20'] Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 10*20=200, Resulting Numbers: [200] 200,21 unequal: No Solution Exploring Operation: 10+20=30, Resulting Numbers: [30] 30,21 unequal: No Solution Moving to Node #0,0,1 Current State: 21:[7, 17], Operations: ['32-5=27', '27-10=17'] Exploring Operation: 17-7=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 7+17=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 7*17=119, Resulting Numbers: [119] 119,21 unequal: No Solution Moving to Node #0,0,3 Current State: 21:[27, 3], Operations: ['32-5=27', '10-7=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,21 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,21 unequal: No Solution Exploring Operation: 27+3=30, Resulting Numbers: [30] 30,21 unequal: No Solution Moving to Node #0,0,4 Current State: 21:[27, 17], Operations: ['32-5=27', '10+7=17'] Exploring Operation: 27*17=459, Resulting Numbers: [459] 459,21 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 27+17=44, Resulting Numbers: [44] 44,21 unequal: No Solution Moving to Node #0,0,2 Current State: 21:[7, 37], Operations: ['32-5=27', '10+27=37'] Exploring Operation: 7+37=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,21 unequal: No Solution Exploring Operation: 7*37=259, Resulting Numbers: [259] 259,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 21:[10, 5, 25], Operations: ['32-7=25'] Exploring Operation: 25/5=5, Resulting Numbers: [10, 5] Generated Node #0,3,0: 21:[10, 5] Operation: 25/5=5 Exploring Operation: 25-5=20, Resulting Numbers: [10, 20] Generated Node #0,3,1: 21:[10, 20] Operation: 25-5=20 Exploring Operation: 10/5=2, Resulting Numbers: [25, 2] Generated Node #0,3,2: 21:[25, 2] Operation: 10/5=2 Exploring Operation: 10-5=5, Resulting Numbers: [25, 5] Generated Node #0,3,3: 21:[25, 5] Operation: 10-5=5 Exploring Operation: 25-10=15, Resulting Numbers: [5, 15] Generated Node #0,3,4: 21:[5, 15] Operation: 25-10=15 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 21:[10, 20], Operations: ['32-7=25', '25-5=20'] Exploring Operation: 10+20=30, Resulting Numbers: [30] 30,21 unequal: No Solution Exploring Operation: 20/10=2, Resulting Numbers: [2] 2,21 unequal: No Solution Exploring Operation: 20-10=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 10*20=200, Resulting Numbers: [200] 200,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 21:[10, 5], Operations: ['32-7=25', '25/5=5'] Exploring Operation: 10-5=5, Resulting Numbers: [5] 5,21 unequal: No Solution Exploring Operation: 10+5=15, Resulting Numbers: [15] 15,21 unequal: No Solution Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,21 unequal: No Solution Exploring Operation: 10/5=2, Resulting Numbers: [2] 2,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 21:[25, 2], Operations: ['32-7=25', '10/5=2'] Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,21 unequal: No Solution Exploring Operation: 25+2=27, Resulting Numbers: [27] 27,21 unequal: No Solution Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 21:[25, 5], Operations: ['32-7=25', '10-5=5'] Exploring Operation: 25-5=20, Resulting Numbers: [20] 20,21 unequal: No Solution Exploring Operation: 25*5=125, Resulting Numbers: [125] 125,21 unequal: No Solution Exploring Operation: 25+5=30, Resulting Numbers: [30] 30,21 unequal: No Solution Exploring Operation: 25/5=5, Resulting Numbers: [5] 5,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 21:[5, 15], Operations: ['32-7=25', '25-10=15'] Exploring Operation: 5+15=20, Resulting Numbers: [20] 20,21 unequal: No Solution Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,21 unequal: No Solution Exploring Operation: 15-5=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 15/5=3, Resulting Numbers: [3] 3,21 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 21:[7, 32, 2], Operations: ['10/5=2'] Exploring Operation: 32-7=25, Resulting Numbers: [2, 25] Generated Node #0,2,0: 21:[2, 25] Operation: 32-7=25 Exploring Operation: 7+2=9, Resulting Numbers: [32, 9] Generated Node #0,2,1: 21:[32, 9] Operation: 7+2=9 Exploring Operation: 32-2=30, Resulting Numbers: [7, 30] Generated Node #0,2,2: 21:[7, 30] Operation: 32-2=30 Exploring Operation: 32/2=16, Resulting Numbers: [7, 16] Generated Node #0,2,3: 21:[7, 16] Operation: 32/2=16 Exploring Operation: 7-2=5, Resulting Numbers: [32, 5] Generated Node #0,2,4: 21:[32, 5] Operation: 7-2=5 Moving to Node #0,2,0 Current State: 21:[2, 25], Operations: ['10/5=2', '32-7=25'] Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,21 unequal: No Solution Exploring Operation: 25-2=23, Resulting Numbers: [23] 23,21 unequal: No Solution Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,21 unequal: No Solution Moving to Node #0,2,3 Current State: 21:[7, 16], Operations: ['10/5=2', '32/2=16'] Exploring Operation: 7+16=23, Resulting Numbers: [23] 23,21 unequal: No Solution Exploring Operation: 16-7=9, Resulting Numbers: [9] 9,21 unequal: No Solution Exploring Operation: 7*16=112, Resulting Numbers: [112] 112,21 unequal: No Solution Moving to Node #0,2,2 Current State: 21:[7, 30], Operations: ['10/5=2', '32-2=30'] Exploring Operation: 7+30=37, Resulting Numbers: [37] 37,21 unequal: No Solution Exploring Operation: 7*30=210, Resulting Numbers: [210] 210,21 unequal: No Solution Exploring Operation: 30-7=23, Resulting Numbers: [23] 23,21 unequal: No Solution Moving to Node #0,2,1 Current State: 21:[32, 9], Operations: ['10/5=2', '7+2=9'] Exploring Operation: 32+9=41, Resulting Numbers: [41] 41,21 unequal: No Solution Exploring Operation: 32-9=23, Resulting Numbers: [23] 23,21 unequal: No Solution Exploring Operation: 32*9=288, Resulting Numbers: [288] 288,21 unequal: No Solution Moving to Node #0,2,4 Current State: 21:[32, 5], Operations: ['10/5=2', '7-2=5'] Exploring Operation: 32*5=160, Resulting Numbers: [160] 160,21 unequal: No Solution Exploring Operation: 32+5=37, Resulting Numbers: [37] 37,21 unequal: No Solution Exploring Operation: 32-5=27, Resulting Numbers: [27] 27,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 21:[32, 5, 3], Operations: ['10-7=3'] Exploring Operation: 32-3=29, Resulting Numbers: [5, 29] Generated Node #0,1,0: 21:[5, 29] Operation: 32-3=29 Exploring Operation: 5+3=8, Resulting Numbers: [32, 8] Generated Node #0,1,1: 21:[32, 8] Operation: 5+3=8 Exploring Operation: 5-3=2, Resulting Numbers: [32, 2] Generated Node #0,1,2: 21:[32, 2] Operation: 5-3=2 Exploring Operation: 32-5=27, Resulting Numbers: [3, 27] Generated Node #0,1,3: 21:[3, 27] Operation: 32-5=27 Exploring Operation: 32+5=37, Resulting Numbers: [3, 37] Generated Node #0,1,4: 21:[3, 37] Operation: 32+5=37 Moving to Node #0,1,3 Current State: 21:[3, 27], Operations: ['10-7=3', '32-5=27'] Exploring Operation: 3+27=30, Resulting Numbers: [30] 30,21 unequal: No Solution Exploring Operation: 27-3=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 3*27=81, Resulting Numbers: [81] 81,21 unequal: No Solution Exploring Operation: 27/3=9, Resulting Numbers: [9] 9,21 unequal: No Solution Moving to Node #0,1,0 Current State: 21:[5, 29], Operations: ['10-7=3', '32-3=29'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,21 unequal: No Solution Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,21 unequal: No Solution Exploring Operation: 5*29=145, Resulting Numbers: [145] 145,21 unequal: No Solution Moving to Node #0,1,1 Current State: 21:[32, 8], Operations: ['10-7=3', '5+3=8'] Exploring Operation: 32/8=4, Resulting Numbers: [4] 4,21 unequal: No Solution Exploring Operation: 32*8=256, Resulting Numbers: [256] 256,21 unequal: No Solution Exploring Operation: 32+8=40, Resulting Numbers: [40] 40,21 unequal: No Solution Exploring Operation: 32-8=24, Resulting Numbers: [24] 24,21 unequal: No Solution Moving to Node #0,1,2 Current State: 21:[32, 2], Operations: ['10-7=3', '5-3=2'] Exploring Operation: 32*2=64, Resulting Numbers: [64] 64,21 unequal: No Solution Exploring Operation: 32+2=34, Resulting Numbers: [34] 34,21 unequal: No Solution Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,21 unequal: No Solution Exploring Operation: 32/2=16, Resulting Numbers: [16] 16,21 unequal: No Solution Moving to Node #0,1,4 Current State: 21:[3, 37], Operations: ['10-7=3', '32+5=37'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,21 unequal: No Solution Exploring Operation: 3*37=111, Resulting Numbers: [111] 111,21 unequal: No Solution Exploring Operation: 3+37=40, Resulting Numbers: [40] 40,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 78, 5, 96, 96 ]
82
[ "78+5=83", "96/96=1", "83-1=82" ]
Current State: 82:[78, 5, 96, 96], Operations: [] Exploring Operation: 78+5=83, Resulting Numbers: [96, 96, 83] Generated Node #2: [96, 96, 83] from Operation: 78+5=83 Current State: 82:[96, 96, 83], Operations: ['78+5=83'] Exploring Operation: 96/96=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 96/96=1 Current State: 82:[83, 1], Operations: ['78+5=83', '96/96=1'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[78, 5, 96, 96], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [78, 5, 1] Generated Node #0,0: 82:[78, 5, 1] Operation: 96/96=1 Exploring Operation: 96-96=0, Resulting Numbers: [78, 5, 0] Generated Node #0,1: 82:[78, 5, 0] Operation: 96-96=0 Exploring Operation: 96-5=91, Resulting Numbers: [78, 96, 91] Generated Node #0,2: 82:[78, 96, 91] Operation: 96-5=91 Moving to Node #0,0 Current State: 82:[78, 5, 1], Operations: ['96/96=1'] Exploring Operation: 78+1=79, Resulting Numbers: [5, 79] Generated Node #0,0,0: 82:[5, 79] Operation: 78+1=79 Exploring Operation: 78+5=83, Resulting Numbers: [1, 83] Generated Node #0,0,1: 82:[1, 83] Operation: 78+5=83 Exploring Operation: 5-1=4, Resulting Numbers: [78, 4] Generated Node #0,0,2: 82:[78, 4] Operation: 5-1=4 Moving to Node #0,1 Current State: 82:[78, 5, 0], Operations: ['96-96=0'] Exploring Operation: 78*0=0, Resulting Numbers: [5, 0] Generated Node #0,1,0: 82:[5, 0] Operation: 78*0=0 Exploring Operation: 78+5=83, Resulting Numbers: [0, 83] Generated Node #0,1,1: 82:[0, 83] Operation: 78+5=83 Exploring Operation: 5*0=0, Resulting Numbers: [78, 0] Generated Node #0,1,2: 82:[78, 0] Operation: 5*0=0 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 82:[0, 83], Operations: ['96-96=0', '78+5=83'] Exploring Operation: 0*83=0, Resulting Numbers: [0] 0,82 unequal: No Solution Exploring Operation: 83-0=83, Resulting Numbers: [83] 83,82 unequal: No Solution Exploring Operation: 0+83=83, Resulting Numbers: [83] 83,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 82:[5, 0], Operations: ['96-96=0', '78*0=0'] Exploring Operation: 5+0=5, Resulting Numbers: [5] 5,82 unequal: No Solution Exploring Operation: 5-0=5, Resulting Numbers: [5] 5,82 unequal: No Solution Exploring Operation: 5*0=0, Resulting Numbers: [0] 0,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 82:[78, 0], Operations: ['96-96=0', '5*0=0'] Exploring Operation: 78+0=78, Resulting Numbers: [78] 78,82 unequal: No Solution Exploring Operation: 78*0=0, Resulting Numbers: [0] 0,82 unequal: No Solution Exploring Operation: 78-0=78, Resulting Numbers: [78] 78,82 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: 82:[78, 96, 91], Operations: ['96-5=91'] Exploring Operation: 91-78=13, Resulting Numbers: [96, 13] Generated Node #0,2,0: 82:[96, 13] Operation: 91-78=13 Exploring Operation: 96-91=5, Resulting Numbers: [78, 5] Generated Node #0,2,1: 82:[78, 5] Operation: 96-91=5 Exploring Operation: 96-78=18, Resulting Numbers: [91, 18] Generated Node #0,2,2: 82:[91, 18] Operation: 96-78=18 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 82:[78, 5], Operations: ['96-5=91', '96-91=5'] Exploring Operation: 78*5=390, Resulting Numbers: [390] 390,82 unequal: No Solution Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,82 unequal: No Solution Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 82:[96, 13], Operations: ['96-5=91', '91-78=13'] Exploring Operation: 96+13=109, Resulting Numbers: [109] 109,82 unequal: No Solution Exploring Operation: 96-13=83, Resulting Numbers: [83] 83,82 unequal: No Solution Exploring Operation: 96*13=1248, Resulting Numbers: [1248] 1248,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 82:[91, 18], Operations: ['96-5=91', '96-78=18'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,82 unequal: No Solution Exploring Operation: 91+18=109, Resulting Numbers: [109] 109,82 unequal: No Solution Exploring Operation: 91*18=1638, Resulting Numbers: [1638] 1638,82 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: 82:[1, 83], Operations: ['96/96=1', '78+5=83'] Exploring Operation: 1*83=83, Resulting Numbers: [83] 83,82 unequal: No Solution Exploring Operation: 83/1=83, Resulting Numbers: [83] 83,82 unequal: No Solution Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[78, 5, 96, 96], Operations: [] Exploring Operation: 96/96=1, Resulting Numbers: [78, 5, 1] Generated Node #0,0: 82:[78, 5, 1] Operation: 96/96=1 Moving to Node #0,0 Current State: 82:[78, 5, 1], Operations: ['96/96=1'] Exploring Operation: 78+5=83, Resulting Numbers: [1, 83] Generated Node #0,0,1: 82:[1, 83] Operation: 78+5=83 Moving to Node #0,0,1 Current State: 82:[1, 83], Operations: ['96/96=1', '78+5=83'] Exploring Operation: 83-1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
0.967882
hs_3
mult_heuristic
[ 82, 94, 30, 61 ]
79
[ "94-82=12", "30+61=91", "91-12=79" ]
Current State: 79:[82, 94, 30, 61], Operations: [] Exploring Operation: 94-82=12, Resulting Numbers: [30, 61, 12] Generated Node #2: [30, 61, 12] from Operation: 94-82=12 Current State: 79:[30, 61, 12], Operations: ['94-82=12'] Exploring Operation: 30+61=91, Resulting Numbers: [12, 91] Generated Node #3: [12, 91] from Operation: 30+61=91 Current State: 79:[12, 91], Operations: ['94-82=12', '30+61=91'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[82, 94, 30, 61], Operations: [] Exploring Operation: 30+61=91, Resulting Numbers: [82, 94, 91] Generated Node #0,0: 79:[82, 94, 91] Operation: 30+61=91 Exploring Operation: 94-30=64, Resulting Numbers: [82, 61, 64] Generated Node #0,1: 79:[82, 61, 64] Operation: 94-30=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[82, 94, 91], Operations: ['30+61=91'] Exploring Operation: 94-91=3, Resulting Numbers: [82, 3] Generated Node #0,0,0: 79:[82, 3] Operation: 94-91=3 Exploring Operation: 94-82=12, Resulting Numbers: [91, 12] Generated Node #0,0,1: 79:[91, 12] Operation: 94-82=12 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 79:[82, 3], Operations: ['30+61=91', '94-91=3'] Exploring Operation: 82+3=85, Resulting Numbers: [85] 85,79 unequal: No Solution Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Moving to Node #0 Current State: 79:[82, 94, 30, 61], Operations: [] Exploring Operation: 30+61=91, Resulting Numbers: [82, 94, 91] Generated Node #0,0: 79:[82, 94, 91] Operation: 30+61=91 Moving to Node #0,0 Current State: 79:[82, 94, 91], Operations: ['30+61=91'] Exploring Operation: 94-91=3, Resulting Numbers: [82, 3] Generated Node #0,0,0: 79:[82, 3] Operation: 94-91=3 Moving to Node #0,0,0 Current State: 79:[82, 3], Operations: ['30+61=91', '94-91=3'] Exploring Operation: 82-3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 79, 39, 5, 2 ]
100
[ "79-39=40", "5*40=200", "200/2=100" ]
Current State: 100:[79, 39, 5, 2], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [5, 2, 40] Generated Node #2: [5, 2, 40] from Operation: 79-39=40 Current State: 100:[5, 2, 40], Operations: ['79-39=40'] Exploring Operation: 5*40=200, Resulting Numbers: [2, 200] Generated Node #3: [2, 200] from Operation: 5*40=200 Current State: 100:[2, 200], Operations: ['79-39=40', '5*40=200'] Exploring Operation: 200/2=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[79, 39, 5, 2], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [5, 2, 40] Generated Node #0,0: 100:[5, 2, 40] Operation: 79-39=40 Moving to Node #0,0 Current State: 100:[5, 2, 40], Operations: ['79-39=40'] Exploring Operation: 40/2=20, Resulting Numbers: [5, 20] Generated Node #0,0,0: 100:[5, 20] Operation: 40/2=20 Moving to Node #0,0,0 Current State: 100:[5, 20], Operations: ['79-39=40', '40/2=20'] Exploring Operation: 5+20=25, Resulting Numbers: [25] 25,100 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 88, 29, 33, 1 ]
23
[ "33-29=4", "88/4=22", "1+22=23" ]
Current State: 23:[88, 29, 33, 1], Operations: [] Exploring Operation: 33-29=4, Resulting Numbers: [88, 1, 4] Generated Node #2: [88, 1, 4] from Operation: 33-29=4 Current State: 23:[88, 1, 4], Operations: ['33-29=4'] Exploring Operation: 88/4=22, Resulting Numbers: [1, 22] Generated Node #3: [1, 22] from Operation: 88/4=22 Current State: 23:[1, 22], Operations: ['33-29=4', '88/4=22'] Exploring Operation: 1+22=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
Current State: 23:[88, 29, 33, 1], Operations: [] Exploring Operation: 29-1=28, Resulting Numbers: [88, 33, 28] Generated Node #0,0: 23:[88, 33, 28] Operation: 29-1=28 Exploring Operation: 33-1=32, Resulting Numbers: [88, 29, 32] Generated Node #0,1: 23:[88, 29, 32] Operation: 33-1=32 Exploring Operation: 88-29=59, Resulting Numbers: [33, 1, 59] Generated Node #0,2: 23:[33, 1, 59] Operation: 88-29=59 Exploring Operation: 88-33=55, Resulting Numbers: [29, 1, 55] Generated Node #0,3: 23:[29, 1, 55] Operation: 88-33=55 Exploring Operation: 88-1=87, Resulting Numbers: [29, 33, 87] Generated Node #0,4: 23:[29, 33, 87] Operation: 88-1=87 Moving to Node #0,3 Current State: 23:[29, 1, 55], Operations: ['88-33=55'] Exploring Operation: 55-29=26, Resulting Numbers: [1, 26] Generated Node #0,3,0: 23:[1, 26] Operation: 55-29=26 Exploring Operation: 29/1=29, Resulting Numbers: [55, 29] Generated Node #0,3,1: 23:[55, 29] Operation: 29/1=29 Exploring Operation: 55-1=54, Resulting Numbers: [29, 54] Generated Node #0,3,2: 23:[29, 54] Operation: 55-1=54 Exploring Operation: 29*1=29, Resulting Numbers: [55, 29] Generated Node #0,3,3: 23:[55, 29] Operation: 29*1=29 Exploring Operation: 29-1=28, Resulting Numbers: [55, 28] Generated Node #0,3,4: 23:[55, 28] Operation: 29-1=28 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 23:[1, 26], Operations: ['88-33=55', '55-29=26'] Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,23 unequal: No Solution Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 26/1=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,23 unequal: No Solution No 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: 23:[29, 54], Operations: ['88-33=55', '55-1=54'] Exploring Operation: 29*54=1566, Resulting Numbers: [1566] 1566,23 unequal: No Solution Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,23 unequal: No Solution No 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: 23:[55, 28], Operations: ['88-33=55', '29-1=28'] Exploring Operation: 55*28=1540, Resulting Numbers: [1540] 1540,23 unequal: No Solution Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,23 unequal: No Solution Exploring Operation: 55+28=83, Resulting Numbers: [83] 83,23 unequal: No Solution No 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: 23:[55, 29], Operations: ['88-33=55', '29/1=29'] Exploring Operation: 55*29=1595, Resulting Numbers: [1595] 1595,23 unequal: No Solution Exploring Operation: 55-29=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 55+29=84, Resulting Numbers: [84] 84,23 unequal: No Solution No 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: 23:[55, 29], Operations: ['88-33=55', '29*1=29'] Exploring Operation: 55-29=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 55*29=1595, Resulting Numbers: [1595] 1595,23 unequal: No Solution Exploring Operation: 55+29=84, Resulting Numbers: [84] 84,23 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: 23:[33, 1, 59], Operations: ['88-29=59'] Exploring Operation: 59-33=26, Resulting Numbers: [1, 26] Generated Node #0,2,0: 23:[1, 26] Operation: 59-33=26 Exploring Operation: 33*1=33, Resulting Numbers: [59, 33] Generated Node #0,2,1: 23:[59, 33] Operation: 33*1=33 Exploring Operation: 33-1=32, Resulting Numbers: [59, 32] Generated Node #0,2,2: 23:[59, 32] Operation: 33-1=32 Exploring Operation: 33/1=33, Resulting Numbers: [59, 33] Generated Node #0,2,3: 23:[59, 33] Operation: 33/1=33 Exploring Operation: 59-1=58, Resulting Numbers: [33, 58] Generated Node #0,2,4: 23:[33, 58] Operation: 59-1=58 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 23:[1, 26], Operations: ['88-29=59', '59-33=26'] Exploring Operation: 26/1=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 1+26=27, Resulting Numbers: [27] 27,23 unequal: No Solution Exploring Operation: 1*26=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 26-1=25, Resulting Numbers: [25] 25,23 unequal: No Solution No 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: 23:[59, 32], Operations: ['88-29=59', '33-1=32'] Exploring Operation: 59+32=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 59*32=1888, Resulting Numbers: [1888] 1888,23 unequal: No Solution Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,23 unequal: No Solution No 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: 23:[33, 58], Operations: ['88-29=59', '59-1=58'] Exploring Operation: 33+58=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,23 unequal: No Solution Exploring Operation: 33*58=1914, Resulting Numbers: [1914] 1914,23 unequal: No Solution No 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: 23:[59, 33], Operations: ['88-29=59', '33*1=33'] Exploring Operation: 59-33=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 59*33=1947, Resulting Numbers: [1947] 1947,23 unequal: No Solution Exploring Operation: 59+33=92, Resulting Numbers: [92] 92,23 unequal: No Solution No 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: 23:[59, 33], Operations: ['88-29=59', '33/1=33'] Exploring Operation: 59+33=92, Resulting Numbers: [92] 92,23 unequal: No Solution Exploring Operation: 59-33=26, Resulting Numbers: [26] 26,23 unequal: No Solution Exploring Operation: 59*33=1947, Resulting Numbers: [1947] 1947,23 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: 23:[88, 33, 28], Operations: ['29-1=28'] Exploring Operation: 88+28=116, Resulting Numbers: [33, 116] Generated Node #0,0,0: 23:[33, 116] Operation: 88+28=116 Exploring Operation: 33-28=5, Resulting Numbers: [88, 5] Generated Node #0,0,1: 23:[88, 5] Operation: 33-28=5 Exploring Operation: 88-28=60, Resulting Numbers: [33, 60] Generated Node #0,0,2: 23:[33, 60] Operation: 88-28=60 Exploring Operation: 88+33=121, Resulting Numbers: [28, 121] Generated Node #0,0,3: 23:[28, 121] Operation: 88+33=121 Exploring Operation: 88-33=55, Resulting Numbers: [28, 55] Generated Node #0,0,4: 23:[28, 55] Operation: 88-33=55 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 23:[28, 55], Operations: ['29-1=28', '88-33=55'] Exploring Operation: 28+55=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 28*55=1540, Resulting Numbers: [1540] 1540,23 unequal: No Solution Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,23 unequal: No Solution No 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: 23:[33, 60], Operations: ['29-1=28', '88-28=60'] Exploring Operation: 60-33=27, Resulting Numbers: [27] 27,23 unequal: No Solution Exploring Operation: 33*60=1980, Resulting Numbers: [1980] 1980,23 unequal: No Solution Exploring Operation: 33+60=93, Resulting Numbers: [93] 93,23 unequal: No Solution No 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: 23:[88, 5], Operations: ['29-1=28', '33-28=5'] Exploring Operation: 88-5=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 88*5=440, Resulting Numbers: [440] 440,23 unequal: No Solution Exploring Operation: 88+5=93, Resulting Numbers: [93] 93,23 unequal: No Solution No 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: 23:[33, 116], Operations: ['29-1=28', '88+28=116'] Exploring Operation: 33+116=149, Resulting Numbers: [149] 149,23 unequal: No Solution Exploring Operation: 116-33=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 33*116=3828, Resulting Numbers: [3828] 3828,23 unequal: No Solution No 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: 23:[28, 121], Operations: ['29-1=28', '88+33=121'] Exploring Operation: 121-28=93, Resulting Numbers: [93] 93,23 unequal: No Solution Exploring Operation: 28*121=3388, Resulting Numbers: [3388] 3388,23 unequal: No Solution Exploring Operation: 28+121=149, Resulting Numbers: [149] 149,23 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: 23:[88, 29, 32], Operations: ['33-1=32'] Exploring Operation: 88+32=120, Resulting Numbers: [29, 120] Generated Node #0,1,0: 23:[29, 120] Operation: 88+32=120 Exploring Operation: 88-29=59, Resulting Numbers: [32, 59] Generated Node #0,1,1: 23:[32, 59] Operation: 88-29=59 Exploring Operation: 88+29=117, Resulting Numbers: [32, 117] Generated Node #0,1,2: 23:[32, 117] Operation: 88+29=117 Exploring Operation: 32-29=3, Resulting Numbers: [88, 3] Generated Node #0,1,3: 23:[88, 3] Operation: 32-29=3 Exploring Operation: 88-32=56, Resulting Numbers: [29, 56] Generated Node #0,1,4: 23:[29, 56] Operation: 88-32=56 Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 23:[29, 56], Operations: ['33-1=32', '88-32=56'] Exploring Operation: 56-29=27, Resulting Numbers: [27] 27,23 unequal: No Solution Exploring Operation: 29+56=85, Resulting Numbers: [85] 85,23 unequal: No Solution Exploring Operation: 29*56=1624, Resulting Numbers: [1624] 1624,23 unequal: No Solution No 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: 23:[32, 59], Operations: ['33-1=32', '88-29=59'] Exploring Operation: 32*59=1888, Resulting Numbers: [1888] 1888,23 unequal: No Solution Exploring Operation: 59-32=27, Resulting Numbers: [27] 27,23 unequal: No Solution Exploring Operation: 32+59=91, Resulting Numbers: [91] 91,23 unequal: No Solution No 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: 23:[88, 3], Operations: ['33-1=32', '32-29=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 88*3=264, Resulting Numbers: [264] 264,23 unequal: No Solution Exploring Operation: 88-3=85, Resulting Numbers: [85] 85,23 unequal: No Solution No 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: 23:[29, 120], Operations: ['33-1=32', '88+32=120'] Exploring Operation: 120-29=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 29*120=3480, Resulting Numbers: [3480] 3480,23 unequal: No Solution Exploring Operation: 29+120=149, Resulting Numbers: [149] 149,23 unequal: No Solution No 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: 23:[32, 117], Operations: ['33-1=32', '88+29=117'] Exploring Operation: 32+117=149, Resulting Numbers: [149] 149,23 unequal: No Solution Exploring Operation: 32*117=3744, Resulting Numbers: [3744] 3744,23 unequal: No Solution Exploring Operation: 117-32=85, Resulting Numbers: [85] 85,23 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: 23:[29, 33, 87], Operations: ['88-1=87'] Exploring Operation: 87-33=54, Resulting Numbers: [29, 54] Generated Node #0,4,0: 23:[29, 54] Operation: 87-33=54 Exploring Operation: 33-29=4, Resulting Numbers: [87, 4] Generated Node #0,4,1: 23:[87, 4] Operation: 33-29=4 Exploring Operation: 29+33=62, Resulting Numbers: [87, 62] Generated Node #0,4,2: 23:[87, 62] Operation: 29+33=62 Exploring Operation: 87/29=3, Resulting Numbers: [33, 3] Generated Node #0,4,3: 23:[33, 3] Operation: 87/29=3 Exploring Operation: 87-29=58, Resulting Numbers: [33, 58] Generated Node #0,4,4: 23:[33, 58] Operation: 87-29=58 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 23:[33, 3], Operations: ['88-1=87', '87/29=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,23 unequal: No Solution Exploring Operation: 33-3=30, Resulting Numbers: [30] 30,23 unequal: No Solution Exploring Operation: 33*3=99, Resulting Numbers: [99] 99,23 unequal: No Solution Exploring Operation: 33+3=36, Resulting Numbers: [36] 36,23 unequal: No Solution No 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: 23:[29, 54], Operations: ['88-1=87', '87-33=54'] Exploring Operation: 29+54=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 54-29=25, Resulting Numbers: [25] 25,23 unequal: No Solution Exploring Operation: 29*54=1566, Resulting Numbers: [1566] 1566,23 unequal: No Solution No 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: 23:[33, 58], Operations: ['88-1=87', '87-29=58'] Exploring Operation: 58-33=25, Resulting Numbers: [25] 25,23 unequal: No Solution Exploring Operation: 33+58=91, Resulting Numbers: [91] 91,23 unequal: No Solution Exploring Operation: 33*58=1914, Resulting Numbers: [1914] 1914,23 unequal: No Solution No 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: 23:[87, 4], Operations: ['88-1=87', '33-29=4'] Exploring Operation: 87-4=83, Resulting Numbers: [83] 83,23 unequal: No Solution Exploring Operation: 87*4=348, Resulting Numbers: [348] 348,23 unequal: No Solution Exploring Operation: 87+4=91, Resulting Numbers: [91] 91,23 unequal: No Solution No 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: 23:[87, 62], Operations: ['88-1=87', '29+33=62'] Exploring Operation: 87*62=5394, Resulting Numbers: [5394] 5394,23 unequal: No Solution Exploring Operation: 87+62=149, Resulting Numbers: [149] 149,23 unequal: No Solution Exploring Operation: 87-62=25, Resulting Numbers: [25] 25,23 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
[ 53, 86, 91, 40 ]
43
[ "91-53=38", "40-38=2", "86/2=43" ]
Current State: 43:[53, 86, 91, 40], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [86, 40, 38] Generated Node #2: [86, 40, 38] from Operation: 91-53=38 Current State: 43:[86, 40, 38], Operations: ['91-53=38'] Exploring Operation: 40-38=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 40-38=2 Current State: 43:[86, 2], Operations: ['91-53=38', '40-38=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[53, 86, 91, 40], Operations: [] Exploring Operation: 86-53=33, Resulting Numbers: [91, 40, 33] Generated Node #0,0: 43:[91, 40, 33] Operation: 86-53=33 Exploring Operation: 91-40=51, Resulting Numbers: [53, 86, 51] Generated Node #0,1: 43:[53, 86, 51] Operation: 91-40=51 Exploring Operation: 91-86=5, Resulting Numbers: [53, 40, 5] Generated Node #0,2: 43:[53, 40, 5] Operation: 91-86=5 Exploring Operation: 91-53=38, Resulting Numbers: [86, 40, 38] Generated Node #0,3: 43:[86, 40, 38] Operation: 91-53=38 Exploring Operation: 86-40=46, Resulting Numbers: [53, 91, 46] Generated Node #0,4: 43:[53, 91, 46] Operation: 86-40=46 Moving to Node #0,2 Current State: 43:[53, 40, 5], Operations: ['91-86=5'] Exploring Operation: 40-5=35, Resulting Numbers: [53, 35] Generated Node #0,2,0: 43:[53, 35] Operation: 40-5=35 Exploring Operation: 40/5=8, Resulting Numbers: [53, 8] Generated Node #0,2,1: 43:[53, 8] Operation: 40/5=8 Exploring Operation: 53+5=58, Resulting Numbers: [40, 58] Generated Node #0,2,2: 43:[40, 58] Operation: 53+5=58 Exploring Operation: 40+5=45, Resulting Numbers: [53, 45] Generated Node #0,2,3: 43:[53, 45] Operation: 40+5=45 Exploring Operation: 53-5=48, Resulting Numbers: [40, 48] Generated Node #0,2,4: 43:[40, 48] Operation: 53-5=48 Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 43:[40, 48], Operations: ['91-86=5', '53-5=48'] Exploring Operation: 48-40=8, Resulting Numbers: [8] 8,43 unequal: No Solution Exploring Operation: 40*48=1920, Resulting Numbers: [1920] 1920,43 unequal: No Solution Exploring Operation: 40+48=88, Resulting Numbers: [88] 88,43 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 #0,2,3 Current State: 43:[53, 45], Operations: ['91-86=5', '40+5=45'] Exploring Operation: 53*45=2385, Resulting Numbers: [2385] 2385,43 unequal: No Solution Exploring Operation: 53+45=98, Resulting Numbers: [98] 98,43 unequal: No Solution Exploring Operation: 53-45=8, Resulting Numbers: [8] 8,43 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 #0,2,0 Current State: 43:[53, 35], Operations: ['91-86=5', '40-5=35'] Exploring Operation: 53-35=18, Resulting Numbers: [18] 18,43 unequal: No Solution Exploring Operation: 53+35=88, Resulting Numbers: [88] 88,43 unequal: No Solution Exploring Operation: 53*35=1855, Resulting Numbers: [1855] 1855,43 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 #0,2,2 Current State: 43:[40, 58], Operations: ['91-86=5', '53+5=58'] Exploring Operation: 58-40=18, Resulting Numbers: [18] 18,43 unequal: No Solution Exploring Operation: 40+58=98, Resulting Numbers: [98] 98,43 unequal: No Solution Exploring Operation: 40*58=2320, Resulting Numbers: [2320] 2320,43 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 #0,2,1 Current State: 43:[53, 8], Operations: ['91-86=5', '40/5=8'] Exploring Operation: 53-8=45, Resulting Numbers: [45] 45,43 unequal: No Solution Exploring Operation: 53+8=61, Resulting Numbers: [61] 61,43 unequal: No Solution Exploring Operation: 53*8=424, Resulting Numbers: [424] 424,43 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: 43:[86, 40, 38], Operations: ['91-53=38'] Exploring Operation: 86-40=46, Resulting Numbers: [38, 46] Generated Node #0,3,0: 43:[38, 46] Operation: 86-40=46 Exploring Operation: 40+38=78, Resulting Numbers: [86, 78] Generated Node #0,3,1: 43:[86, 78] Operation: 40+38=78 Exploring Operation: 86-38=48, Resulting Numbers: [40, 48] Generated Node #0,3,2: 43:[40, 48] Operation: 86-38=48 Exploring Operation: 40-38=2, Resulting Numbers: [86, 2] Generated Node #0,3,3: 43:[86, 2] Operation: 40-38=2 Exploring Operation: 86+38=124, Resulting Numbers: [40, 124] Generated Node #0,3,4: 43:[40, 124] Operation: 86+38=124 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 43:[38, 46], Operations: ['91-53=38', '86-40=46'] Exploring Operation: 38*46=1748, Resulting Numbers: [1748] 1748,43 unequal: No Solution Exploring Operation: 46-38=8, Resulting Numbers: [8] 8,43 unequal: No Solution Exploring Operation: 38+46=84, Resulting Numbers: [84] 84,43 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 #0,3,2 Current State: 43:[40, 48], Operations: ['91-53=38', '86-38=48'] Exploring Operation: 40+48=88, Resulting Numbers: [88] 88,43 unequal: No Solution Exploring Operation: 48-40=8, Resulting Numbers: [8] 8,43 unequal: No Solution Exploring Operation: 40*48=1920, Resulting Numbers: [1920] 1920,43 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 #0,3,1 Current State: 43:[86, 78], Operations: ['91-53=38', '40+38=78'] Exploring Operation: 86*78=6708, Resulting Numbers: [6708] 6708,43 unequal: No Solution Exploring Operation: 86-78=8, Resulting Numbers: [8] 8,43 unequal: No Solution Exploring Operation: 86+78=164, Resulting Numbers: [164] 164,43 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 #0,3,3 Current State: 43:[86, 2], Operations: ['91-53=38', '40-38=2'] Exploring Operation: 86*2=172, Resulting Numbers: [172] 172,43 unequal: No Solution Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,43 unequal: No Solution Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Moving to Node #0 Current State: 43:[53, 86, 91, 40], Operations: [] Exploring Operation: 91-53=38, Resulting Numbers: [86, 40, 38] Generated Node #0,3: 43:[86, 40, 38] Operation: 91-53=38 Moving to Node #0,3 Current State: 43:[86, 40, 38], Operations: ['91-53=38'] Exploring Operation: 40-38=2, Resulting Numbers: [86, 2] Generated Node #0,3,3: 43:[86, 2] Operation: 40-38=2 Moving to Node #0,3,3 Current State: 43:[86, 2], Operations: ['91-53=38', '40-38=2'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exit Sub Search at level 1
0.960069
hs_5
sum_heuristic
[ 13, 58, 33, 5 ]
73
[ "58-13=45", "33-5=28", "45+28=73" ]
Current State: 73:[13, 58, 33, 5], Operations: [] Exploring Operation: 58-13=45, Resulting Numbers: [33, 5, 45] Generated Node #2: [33, 5, 45] from Operation: 58-13=45 Current State: 73:[33, 5, 45], Operations: ['58-13=45'] Exploring Operation: 33-5=28, Resulting Numbers: [45, 28] Generated Node #3: [45, 28] from Operation: 33-5=28 Current State: 73:[45, 28], Operations: ['58-13=45', '33-5=28'] Exploring Operation: 45+28=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[13, 58, 33, 5], Operations: [] Exploring Operation: 13*5=65, Resulting Numbers: [58, 33, 65] Generated Node #0,0: 73:[58, 33, 65] Operation: 13*5=65 Exploring Operation: 13+5=18, Resulting Numbers: [58, 33, 18] Generated Node #0,1: 73:[58, 33, 18] Operation: 13+5=18 Exploring Operation: 13+58=71, Resulting Numbers: [33, 5, 71] Generated Node #0,2: 73:[33, 5, 71] Operation: 13+58=71 Exploring Operation: 13+33=46, Resulting Numbers: [58, 5, 46] Generated Node #0,3: 73:[58, 5, 46] Operation: 13+33=46 Exploring Operation: 58+5=63, Resulting Numbers: [13, 33, 63] Generated Node #0,4: 73:[13, 33, 63] Operation: 58+5=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 73:[58, 33, 65], Operations: ['13*5=65'] Exploring Operation: 33+65=98, Resulting Numbers: [58, 98] Generated Node #0,0,0: 73:[58, 98] Operation: 33+65=98 Exploring Operation: 58+33=91, Resulting Numbers: [65, 91] Generated Node #0,0,1: 73:[65, 91] Operation: 58+33=91 Exploring Operation: 58+65=123, Resulting Numbers: [33, 123] Generated Node #0,0,2: 73:[33, 123] Operation: 58+65=123 Exploring Operation: 58-33=25, Resulting Numbers: [65, 25] Generated Node #0,0,3: 73:[65, 25] Operation: 58-33=25 Exploring Operation: 65-33=32, Resulting Numbers: [58, 32] Generated Node #0,0,4: 73:[58, 32] Operation: 65-33=32 Moving to Node #0,0,1 Current State: 73:[65, 91], Operations: ['13*5=65', '58+33=91'] Exploring Operation: 65*91=5915, Resulting Numbers: [5915] 5915,73 unequal: No Solution Exploring Operation: 65+91=156, Resulting Numbers: [156] 156,73 unequal: No Solution Exploring Operation: 91-65=26, Resulting Numbers: [26] 26,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[58, 98], Operations: ['13*5=65', '33+65=98'] Exploring Operation: 98-58=40, Resulting Numbers: [40] 40,73 unequal: No Solution Exploring Operation: 58+98=156, Resulting Numbers: [156] 156,73 unequal: No Solution Exploring Operation: 58*98=5684, Resulting Numbers: [5684] 5684,73 unequal: No Solution Moving to Node #0,0,3 Current State: 73:[65, 25], Operations: ['13*5=65', '58-33=25'] Exploring Operation: 65*25=1625, Resulting Numbers: [1625] 1625,73 unequal: No Solution Exploring Operation: 65+25=90, Resulting Numbers: [90] 90,73 unequal: No Solution Exploring Operation: 65-25=40, Resulting Numbers: [40] 40,73 unequal: No Solution Moving to Node #0,0,4 Current State: 73:[58, 32], Operations: ['13*5=65', '65-33=32'] Exploring Operation: 58*32=1856, Resulting Numbers: [1856] 1856,73 unequal: No Solution Exploring Operation: 58+32=90, Resulting Numbers: [90] 90,73 unequal: No Solution Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,73 unequal: No Solution Moving to Node #0,0,2 Current State: 73:[33, 123], Operations: ['13*5=65', '58+65=123'] Exploring Operation: 33+123=156, Resulting Numbers: [156] 156,73 unequal: No Solution Exploring Operation: 123-33=90, Resulting Numbers: [90] 90,73 unequal: No Solution Exploring Operation: 33*123=4059, Resulting Numbers: [4059] 4059,73 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:[58, 33, 18], Operations: ['13+5=18'] Exploring Operation: 58+18=76, Resulting Numbers: [33, 76] Generated Node #0,1,0: 73:[33, 76] Operation: 58+18=76 Exploring Operation: 58+33=91, Resulting Numbers: [18, 91] Generated Node #0,1,1: 73:[18, 91] Operation: 58+33=91 Exploring Operation: 58-18=40, Resulting Numbers: [33, 40] Generated Node #0,1,2: 73:[33, 40] Operation: 58-18=40 Exploring Operation: 33-18=15, Resulting Numbers: [58, 15] Generated Node #0,1,3: 73:[58, 15] Operation: 33-18=15 Exploring Operation: 33+18=51, Resulting Numbers: [58, 51] Generated Node #0,1,4: 73:[58, 51] Operation: 33+18=51 Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 73:[58, 51], Operations: ['13+5=18', '33+18=51'] Exploring Operation: 58+51=109, Resulting Numbers: [109] 109,73 unequal: No Solution Exploring Operation: 58*51=2958, Resulting Numbers: [2958] 2958,73 unequal: No Solution Exploring Operation: 58-51=7, Resulting Numbers: [7] 7,73 unequal: No Solution No 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: 73:[33, 76], Operations: ['13+5=18', '58+18=76'] Exploring Operation: 33*76=2508, Resulting Numbers: [2508] 2508,73 unequal: No Solution Exploring Operation: 76-33=43, Resulting Numbers: [43] 43,73 unequal: No Solution Exploring Operation: 33+76=109, Resulting Numbers: [109] 109,73 unequal: No Solution No 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: 73:[18, 91], Operations: ['13+5=18', '58+33=91'] Exploring Operation: 18+91=109, Resulting Numbers: [109] 109,73 unequal: No Solution Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[13, 58, 33, 5], Operations: [] Exploring Operation: 13+5=18, Resulting Numbers: [58, 33, 18] Generated Node #0,1: 73:[58, 33, 18] Operation: 13+5=18 Moving to Node #0,1 Current State: 73:[58, 33, 18], Operations: ['13+5=18'] Exploring Operation: 58+33=91, Resulting Numbers: [18, 91] Generated Node #0,1,1: 73:[18, 91] Operation: 58+33=91 Moving to Node #0,1,1 Current State: 73:[18, 91], Operations: ['13+5=18', '58+33=91'] Exploring Operation: 91-18=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.963542
hs_5
mult_heuristic
[ 54, 55, 10, 9 ]
11
[ "54+55=109", "109-10=99", "99/9=11" ]
Current State: 11:[54, 55, 10, 9], Operations: [] Exploring Operation: 54+55=109, Resulting Numbers: [10, 9, 109] Generated Node #2: [10, 9, 109] from Operation: 54+55=109 Current State: 11:[10, 9, 109], Operations: ['54+55=109'] Exploring Operation: 109-10=99, Resulting Numbers: [9, 99] Generated Node #3: [9, 99] from Operation: 109-10=99 Current State: 11:[9, 99], Operations: ['54+55=109', '109-10=99'] Exploring Operation: 99/9=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
Current State: 11:[54, 55, 10, 9], Operations: [] Exploring Operation: 55-54=1, Resulting Numbers: [10, 9, 1] Generated Node #0,0: 11:[10, 9, 1] Operation: 55-54=1 Moving to Node #0,0 Current State: 11:[10, 9, 1], Operations: ['55-54=1'] Exploring Operation: 10+1=11, Resulting Numbers: [9, 11] Generated Node #0,0,0: 11:[9, 11] Operation: 10+1=11 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 11:[9, 11], Operations: ['55-54=1', '10+1=11'] Exploring Operation: 9+11=20, Resulting Numbers: [20] 20,11 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
[ 11, 13, 58, 4 ]
41
[ "13-4=9", "11*9=99", "99-58=41" ]
Current State: 41:[11, 13, 58, 4], Operations: [] Exploring Operation: 13-4=9, Resulting Numbers: [11, 58, 9] Generated Node #2: [11, 58, 9] from Operation: 13-4=9 Current State: 41:[11, 58, 9], Operations: ['13-4=9'] Exploring Operation: 11*9=99, Resulting Numbers: [58, 99] Generated Node #3: [58, 99] from Operation: 11*9=99 Current State: 41:[58, 99], Operations: ['13-4=9', '11*9=99'] Exploring Operation: 99-58=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[11, 13, 58, 4], Operations: [] Exploring Operation: 11+13=24, Resulting Numbers: [58, 4, 24] Generated Node #0,0: 41:[58, 4, 24] Operation: 11+13=24 Exploring Operation: 11*4=44, Resulting Numbers: [13, 58, 44] Generated Node #0,1: 41:[13, 58, 44] Operation: 11*4=44 Exploring Operation: 13*4=52, Resulting Numbers: [11, 58, 52] Generated Node #0,2: 41:[11, 58, 52] Operation: 13*4=52 Moving to Node #0,1 Current State: 41:[13, 58, 44], Operations: ['11*4=44'] Exploring Operation: 44-13=31, Resulting Numbers: [58, 31] Generated Node #0,1,0: 41:[58, 31] Operation: 44-13=31 Exploring Operation: 13+58=71, Resulting Numbers: [44, 71] Generated Node #0,1,1: 41:[44, 71] Operation: 13+58=71 Exploring Operation: 58-13=45, Resulting Numbers: [44, 45] Generated Node #0,1,2: 41:[44, 45] Operation: 58-13=45 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 41:[44, 45], Operations: ['11*4=44', '58-13=45'] Exploring Operation: 44*45=1980, Resulting Numbers: [1980] 1980,41 unequal: No Solution Exploring Operation: 44+45=89, Resulting Numbers: [89] 89,41 unequal: No Solution Exploring Operation: 45-44=1, Resulting Numbers: [1] 1,41 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 #0,1,0 Current State: 41:[58, 31], Operations: ['11*4=44', '44-13=31'] Exploring Operation: 58+31=89, Resulting Numbers: [89] 89,41 unequal: No Solution Exploring Operation: 58*31=1798, Resulting Numbers: [1798] 1798,41 unequal: No Solution Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,41 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:[44, 71], Operations: ['11*4=44', '13+58=71'] Exploring Operation: 71-44=27, Resulting Numbers: [27] 27,41 unequal: No Solution Exploring Operation: 44*71=3124, Resulting Numbers: [3124] 3124,41 unequal: No Solution Exploring Operation: 44+71=115, Resulting Numbers: [115] 115,41 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:[11, 58, 52], Operations: ['13*4=52'] Exploring Operation: 52-11=41, Resulting Numbers: [58, 41] Generated Node #0,2,0: 41:[58, 41] Operation: 52-11=41 Exploring Operation: 58-11=47, Resulting Numbers: [52, 47] Generated Node #0,2,1: 41:[52, 47] Operation: 58-11=47 Exploring Operation: 11+58=69, Resulting Numbers: [52, 69] Generated Node #0,2,2: 41:[52, 69] Operation: 11+58=69 Moving to Node #0,0 Current State: 41:[58, 4, 24], Operations: ['11+13=24'] Exploring Operation: 58-4=54, Resulting Numbers: [24, 54] Generated Node #0,0,0: 41:[24, 54] Operation: 58-4=54 Exploring Operation: 58+4=62, Resulting Numbers: [24, 62] Generated Node #0,0,1: 41:[24, 62] Operation: 58+4=62 Exploring Operation: 4+24=28, Resulting Numbers: [58, 28] Generated Node #0,0,2: 41:[58, 28] Operation: 4+24=28 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 41:[24, 54], Operations: ['11+13=24', '58-4=54'] Exploring Operation: 24*54=1296, Resulting Numbers: [1296] 1296,41 unequal: No Solution Exploring Operation: 24+54=78, Resulting Numbers: [78] 78,41 unequal: No Solution Exploring Operation: 54-24=30, Resulting Numbers: [30] 30,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 41:[58, 28], Operations: ['11+13=24', '4+24=28'] Exploring Operation: 58+28=86, Resulting Numbers: [86] 86,41 unequal: No Solution Exploring Operation: 58*28=1624, Resulting Numbers: [1624] 1624,41 unequal: No Solution Exploring Operation: 58-28=30, Resulting Numbers: [30] 30,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 41:[24, 62], Operations: ['11+13=24', '58+4=62'] Exploring Operation: 24+62=86, Resulting Numbers: [86] 86,41 unequal: No Solution Exploring Operation: 62-24=38, Resulting Numbers: [38] 38,41 unequal: No Solution Exploring Operation: 24*62=1488, Resulting Numbers: [1488] 1488,41 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,0 Current State: 41:[58, 41], Operations: ['13*4=52', '52-11=41'] Exploring Operation: 58-41=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 58+41=99, Resulting Numbers: [99] 99,41 unequal: No Solution Exploring Operation: 58*41=2378, Resulting Numbers: [2378] 2378,41 unequal: No Solution Moving to Node #0,2,1 Current State: 41:[52, 47], Operations: ['13*4=52', '58-11=47'] Exploring Operation: 52+47=99, Resulting Numbers: [99] 99,41 unequal: No Solution Exploring Operation: 52-47=5, Resulting Numbers: [5] 5,41 unequal: No Solution Exploring Operation: 52*47=2444, Resulting Numbers: [2444] 2444,41 unequal: No Solution Moving to Node #0,2,2 Current State: 41:[52, 69], Operations: ['13*4=52', '11+58=69'] Exploring Operation: 52+69=121, Resulting Numbers: [121] 121,41 unequal: No Solution Exploring Operation: 69-52=17, Resulting Numbers: [17] 17,41 unequal: No Solution Exploring Operation: 52*69=3588, Resulting Numbers: [3588] 3588,41 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 24, 97, 12, 77 ]
40
[ "24/12=2", "97-77=20", "2*20=40" ]
Current State: 40:[24, 97, 12, 77], Operations: [] Exploring Operation: 24/12=2, Resulting Numbers: [97, 77, 2] Generated Node #2: [97, 77, 2] from Operation: 24/12=2 Current State: 40:[97, 77, 2], Operations: ['24/12=2'] Exploring Operation: 97-77=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 97-77=20 Current State: 40:[2, 20], Operations: ['24/12=2', '97-77=20'] Exploring Operation: 2*20=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
Current State: 40:[24, 97, 12, 77], Operations: [] Exploring Operation: 77-24=53, Resulting Numbers: [97, 12, 53] Generated Node #0,0: 40:[97, 12, 53] Operation: 77-24=53 Exploring Operation: 97-24=73, Resulting Numbers: [12, 77, 73] Generated Node #0,1: 40:[12, 77, 73] Operation: 97-24=73 Exploring Operation: 97-77=20, Resulting Numbers: [24, 12, 20] Generated Node #0,2: 40:[24, 12, 20] Operation: 97-77=20 Start Sub Search at level 1: Moving to Node #0,2 Current State: 40:[24, 12, 20], Operations: ['97-77=20'] Exploring Operation: 24/12=2, Resulting Numbers: [20, 2] Generated Node #0,2,0: 40:[20, 2] Operation: 24/12=2 Exploring Operation: 24-12=12, Resulting Numbers: [20, 12] Generated Node #0,2,1: 40:[20, 12] Operation: 24-12=12 Exploring Operation: 24-20=4, Resulting Numbers: [12, 4] Generated Node #0,2,2: 40:[12, 4] Operation: 24-20=4 Moving to Node #0,2,0 Current State: 40:[20, 2], Operations: ['97-77=20', '24/12=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Moving to Node #0 Current State: 40:[24, 97, 12, 77], Operations: [] Exploring Operation: 97-77=20, Resulting Numbers: [24, 12, 20] Generated Node #0,2: 40:[24, 12, 20] Operation: 97-77=20 Moving to Node #0,2 Current State: 40:[24, 12, 20], Operations: ['97-77=20'] Exploring Operation: 24/12=2, Resulting Numbers: [20, 2] Generated Node #0,2,0: 40:[20, 2] Operation: 24/12=2 Moving to Node #0,2,0 Current State: 40:[20, 2], Operations: ['97-77=20', '24/12=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
sum_heuristic
[ 78, 37, 21, 2 ]
47
[ "78+37=115", "115-21=94", "94/2=47" ]
Current State: 47:[78, 37, 21, 2], Operations: [] Exploring Operation: 78+37=115, Resulting Numbers: [21, 2, 115] Generated Node #2: [21, 2, 115] from Operation: 78+37=115 Current State: 47:[21, 2, 115], Operations: ['78+37=115'] Exploring Operation: 115-21=94, Resulting Numbers: [2, 94] Generated Node #3: [2, 94] from Operation: 115-21=94 Current State: 47:[2, 94], Operations: ['78+37=115', '115-21=94'] Exploring Operation: 94/2=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[78, 37, 21, 2], Operations: [] Exploring Operation: 21*2=42, Resulting Numbers: [78, 37, 42] Generated Node #0,0: 47:[78, 37, 42] Operation: 21*2=42 Exploring Operation: 78-2=76, Resulting Numbers: [37, 21, 76] Generated Node #0,1: 47:[37, 21, 76] Operation: 78-2=76 Exploring Operation: 78-21=57, Resulting Numbers: [37, 2, 57] Generated Node #0,2: 47:[37, 2, 57] Operation: 78-21=57 Exploring Operation: 78/2=39, Resulting Numbers: [37, 21, 39] Generated Node #0,3: 47:[37, 21, 39] Operation: 78/2=39 Exploring Operation: 37+2=39, Resulting Numbers: [78, 21, 39] Generated Node #0,4: 47:[78, 21, 39] Operation: 37+2=39 Moving to Node #0,3 Current State: 47:[37, 21, 39], Operations: ['78/2=39'] Exploring Operation: 21+39=60, Resulting Numbers: [37, 60] Generated Node #0,3,0: 47:[37, 60] Operation: 21+39=60 Exploring Operation: 37-21=16, Resulting Numbers: [39, 16] Generated Node #0,3,1: 47:[39, 16] Operation: 37-21=16 Exploring Operation: 37+39=76, Resulting Numbers: [21, 76] Generated Node #0,3,2: 47:[21, 76] Operation: 37+39=76 Exploring Operation: 37+21=58, Resulting Numbers: [39, 58] Generated Node #0,3,3: 47:[39, 58] Operation: 37+21=58 Exploring Operation: 39-21=18, Resulting Numbers: [37, 18] Generated Node #0,3,4: 47:[37, 18] Operation: 39-21=18 Moving to Node #0,0 Current State: 47:[78, 37, 42], Operations: ['21*2=42'] Exploring Operation: 78+37=115, Resulting Numbers: [42, 115] Generated Node #0,0,0: 47:[42, 115] Operation: 78+37=115 Exploring Operation: 78-37=41, Resulting Numbers: [42, 41] Generated Node #0,0,1: 47:[42, 41] Operation: 78-37=41 Exploring Operation: 78-42=36, Resulting Numbers: [37, 36] Generated Node #0,0,2: 47:[37, 36] Operation: 78-42=36 Exploring Operation: 37+42=79, Resulting Numbers: [78, 79] Generated Node #0,0,3: 47:[78, 79] Operation: 37+42=79 Exploring Operation: 42-37=5, Resulting Numbers: [78, 5] Generated Node #0,0,4: 47:[78, 5] Operation: 42-37=5 Moving to Node #0,1 Current State: 47:[37, 21, 76], Operations: ['78-2=76'] Exploring Operation: 21+76=97, Resulting Numbers: [37, 97] Generated Node #0,1,0: 47:[37, 97] Operation: 21+76=97 Exploring Operation: 76-37=39, Resulting Numbers: [21, 39] Generated Node #0,1,1: 47:[21, 39] Operation: 76-37=39 Exploring Operation: 37-21=16, Resulting Numbers: [76, 16] Generated Node #0,1,2: 47:[76, 16] Operation: 37-21=16 Exploring Operation: 76-21=55, Resulting Numbers: [37, 55] Generated Node #0,1,3: 47:[37, 55] Operation: 76-21=55 Exploring Operation: 37+21=58, Resulting Numbers: [76, 58] Generated Node #0,1,4: 47:[76, 58] Operation: 37+21=58 Moving to Node #0,2 Current State: 47:[37, 2, 57], Operations: ['78-21=57'] Exploring Operation: 57-2=55, Resulting Numbers: [37, 55] Generated Node #0,2,0: 47:[37, 55] Operation: 57-2=55 Exploring Operation: 37+2=39, Resulting Numbers: [57, 39] Generated Node #0,2,1: 47:[57, 39] Operation: 37+2=39 Exploring Operation: 37*2=74, Resulting Numbers: [57, 74] Generated Node #0,2,2: 47:[57, 74] Operation: 37*2=74 Exploring Operation: 2+57=59, Resulting Numbers: [37, 59] Generated Node #0,2,3: 47:[37, 59] Operation: 2+57=59 Exploring Operation: 37-2=35, Resulting Numbers: [57, 35] Generated Node #0,2,4: 47:[57, 35] Operation: 37-2=35 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 47:[37, 55], Operations: ['78-21=57', '57-2=55'] Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,47 unequal: No Solution Exploring Operation: 55-37=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 37*55=2035, Resulting Numbers: [2035] 2035,47 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 #0,2,1 Current State: 47:[57, 39], Operations: ['78-21=57', '37+2=39'] Exploring Operation: 57+39=96, Resulting Numbers: [96] 96,47 unequal: No Solution Exploring Operation: 57*39=2223, Resulting Numbers: [2223] 2223,47 unequal: No Solution Exploring Operation: 57-39=18, Resulting Numbers: [18] 18,47 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 #0,2,3 Current State: 47:[37, 59], Operations: ['78-21=57', '2+57=59'] Exploring Operation: 37+59=96, Resulting Numbers: [96] 96,47 unequal: No Solution Exploring Operation: 37*59=2183, Resulting Numbers: [2183] 2183,47 unequal: No Solution Exploring Operation: 59-37=22, Resulting Numbers: [22] 22,47 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 #0,2,4 Current State: 47:[57, 35], Operations: ['78-21=57', '37-2=35'] Exploring Operation: 57*35=1995, Resulting Numbers: [1995] 1995,47 unequal: No Solution Exploring Operation: 57-35=22, Resulting Numbers: [22] 22,47 unequal: No Solution Exploring Operation: 57+35=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 #0,2,2 Current State: 47:[57, 74], Operations: ['78-21=57', '37*2=74'] Exploring Operation: 57+74=131, Resulting Numbers: [131] 131,47 unequal: No Solution Exploring Operation: 57*74=4218, Resulting Numbers: [4218] 4218,47 unequal: No Solution Exploring Operation: 74-57=17, Resulting Numbers: [17] 17,47 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: 47:[78, 21, 39], Operations: ['37+2=39'] Exploring Operation: 39-21=18, Resulting Numbers: [78, 18] Generated Node #0,4,0: 47:[78, 18] Operation: 39-21=18 Exploring Operation: 78+21=99, Resulting Numbers: [39, 99] Generated Node #0,4,1: 47:[39, 99] Operation: 78+21=99 Exploring Operation: 21+39=60, Resulting Numbers: [78, 60] Generated Node #0,4,2: 47:[78, 60] Operation: 21+39=60 Exploring Operation: 78-39=39, Resulting Numbers: [21, 39] Generated Node #0,4,3: 47:[21, 39] Operation: 78-39=39 Exploring Operation: 78-21=57, Resulting Numbers: [39, 57] Generated Node #0,4,4: 47:[39, 57] Operation: 78-21=57 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 47:[39, 57], Operations: ['37+2=39', '78-21=57'] Exploring Operation: 39*57=2223, Resulting Numbers: [2223] 2223,47 unequal: No Solution Exploring Operation: 57-39=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 39+57=96, Resulting Numbers: [96] 96,47 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 #0,4,3 Current State: 47:[21, 39], Operations: ['37+2=39', '78-39=39'] Exploring Operation: 21*39=819, Resulting Numbers: [819] 819,47 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,47 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 #0,4,2 Current State: 47:[78, 60], Operations: ['37+2=39', '21+39=60'] Exploring Operation: 78-60=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 78*60=4680, Resulting Numbers: [4680] 4680,47 unequal: No Solution Exploring Operation: 78+60=138, Resulting Numbers: [138] 138,47 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 #0,4,0 Current State: 47:[78, 18], Operations: ['37+2=39', '39-21=18'] Exploring Operation: 78*18=1404, Resulting Numbers: [1404] 1404,47 unequal: No Solution Exploring Operation: 78+18=96, Resulting Numbers: [96] 96,47 unequal: No Solution Exploring Operation: 78-18=60, Resulting Numbers: [60] 60,47 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 #0,4,1 Current State: 47:[39, 99], Operations: ['37+2=39', '78+21=99'] Exploring Operation: 39+99=138, Resulting Numbers: [138] 138,47 unequal: No Solution Exploring Operation: 99-39=60, Resulting Numbers: [60] 60,47 unequal: No Solution Exploring Operation: 39*99=3861, Resulting Numbers: [3861] 3861,47 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: 47:[42, 41], Operations: ['21*2=42', '78-37=41'] Exploring Operation: 42+41=83, Resulting Numbers: [83] 83,47 unequal: No Solution Exploring Operation: 42*41=1722, Resulting Numbers: [1722] 1722,47 unequal: No Solution Exploring Operation: 42-41=1, Resulting Numbers: [1] 1,47 unequal: No Solution Moving to Node #0,1,3 Current State: 47:[37, 55], Operations: ['78-2=76', '76-21=55'] Exploring Operation: 37*55=2035, Resulting Numbers: [2035] 2035,47 unequal: No Solution Exploring Operation: 55-37=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 37+55=92, Resulting Numbers: [92] 92,47 unequal: No Solution Moving to Node #0,3,3 Current State: 47:[39, 58], Operations: ['78/2=39', '37+21=58'] Exploring Operation: 58-39=19, Resulting Numbers: [19] 19,47 unequal: No Solution Exploring Operation: 39*58=2262, Resulting Numbers: [2262] 2262,47 unequal: No Solution Exploring Operation: 39+58=97, Resulting Numbers: [97] 97,47 unequal: No Solution Moving to Node #0,0,2 Current State: 47:[37, 36], Operations: ['21*2=42', '78-42=36'] Exploring Operation: 37+36=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 37-36=1, Resulting Numbers: [1] 1,47 unequal: No Solution Exploring Operation: 37*36=1332, Resulting Numbers: [1332] 1332,47 unequal: No Solution Moving to Node #0,3,0 Current State: 47:[37, 60], Operations: ['78/2=39', '21+39=60'] Exploring Operation: 60-37=23, Resulting Numbers: [23] 23,47 unequal: No Solution Exploring Operation: 37*60=2220, Resulting Numbers: [2220] 2220,47 unequal: No Solution Exploring Operation: 37+60=97, Resulting Numbers: [97] 97,47 unequal: No Solution Moving to Node #0,1,1 Current State: 47:[21, 39], Operations: ['78-2=76', '76-37=39'] Exploring Operation: 21*39=819, Resulting Numbers: [819] 819,47 unequal: No Solution Exploring Operation: 39-21=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 21+39=60, Resulting Numbers: [60] 60,47 unequal: No Solution Moving to Node #0,3,1 Current State: 47:[39, 16], Operations: ['78/2=39', '37-21=16'] Exploring Operation: 39-16=23, Resulting Numbers: [23] 23,47 unequal: No Solution Exploring Operation: 39+16=55, Resulting Numbers: [55] 55,47 unequal: No Solution Exploring Operation: 39*16=624, Resulting Numbers: [624] 624,47 unequal: No Solution Moving to Node #0,3,4 Current State: 47:[37, 18], Operations: ['78/2=39', '39-21=18'] Exploring Operation: 37*18=666, Resulting Numbers: [666] 666,47 unequal: No Solution Exploring Operation: 37-18=19, Resulting Numbers: [19] 19,47 unequal: No Solution Exploring Operation: 37+18=55, Resulting Numbers: [55] 55,47 unequal: No Solution Moving to Node #0,1,4 Current State: 47:[76, 58], Operations: ['78-2=76', '37+21=58'] Exploring Operation: 76+58=134, Resulting Numbers: [134] 134,47 unequal: No Solution Exploring Operation: 76-58=18, Resulting Numbers: [18] 18,47 unequal: No Solution Exploring Operation: 76*58=4408, Resulting Numbers: [4408] 4408,47 unequal: No Solution Moving to Node #0,3,2 Current State: 47:[21, 76], Operations: ['78/2=39', '37+39=76'] Exploring Operation: 76-21=55, Resulting Numbers: [55] 55,47 unequal: No Solution Exploring Operation: 21+76=97, Resulting Numbers: [97] 97,47 unequal: No Solution Exploring Operation: 21*76=1596, Resulting Numbers: [1596] 1596,47 unequal: No Solution Moving to Node #0,1,0 Current State: 47:[37, 97], Operations: ['78-2=76', '21+76=97'] Exploring Operation: 37*97=3589, Resulting Numbers: [3589] 3589,47 unequal: No Solution Exploring Operation: 97-37=60, Resulting Numbers: [60] 60,47 unequal: No Solution Exploring Operation: 37+97=134, Resulting Numbers: [134] 134,47 unequal: No Solution Moving to Node #0,1,2 Current State: 47:[76, 16], Operations: ['78-2=76', '37-21=16'] Exploring Operation: 76+16=92, Resulting Numbers: [92] 92,47 unequal: No Solution Exploring Operation: 76-16=60, Resulting Numbers: [60] 60,47 unequal: No Solution Exploring Operation: 76*16=1216, Resulting Numbers: [1216] 1216,47 unequal: No Solution Moving to Node #0,0,3 Current State: 47:[78, 79], Operations: ['21*2=42', '37+42=79'] Exploring Operation: 78*79=6162, Resulting Numbers: [6162] 6162,47 unequal: No Solution Exploring Operation: 78+79=157, Resulting Numbers: [157] 157,47 unequal: No Solution Exploring Operation: 79-78=1, Resulting Numbers: [1] 1,47 unequal: No Solution Moving to Node #0,0,4 Current State: 47:[78, 5], Operations: ['21*2=42', '42-37=5'] Exploring Operation: 78*5=390, Resulting Numbers: [390] 390,47 unequal: No Solution Exploring Operation: 78-5=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 78+5=83, Resulting Numbers: [83] 83,47 unequal: No Solution Moving to Node #0,0,0 Current State: 47:[42, 115], Operations: ['21*2=42', '78+37=115'] Exploring Operation: 42+115=157, Resulting Numbers: [157] 157,47 unequal: No Solution Exploring Operation: 115-42=73, Resulting Numbers: [73] 73,47 unequal: No Solution Exploring Operation: 42*115=4830, Resulting Numbers: [4830] 4830,47 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 31, 15, 2, 82 ]
90
[ "31-15=16", "16/2=8", "82+8=90" ]
Current State: 90:[31, 15, 2, 82], Operations: [] Exploring Operation: 31-15=16, Resulting Numbers: [2, 82, 16] Generated Node #2: [2, 82, 16] from Operation: 31-15=16 Current State: 90:[2, 82, 16], Operations: ['31-15=16'] Exploring Operation: 16/2=8, Resulting Numbers: [82, 8] Generated Node #3: [82, 8] from Operation: 16/2=8 Current State: 90:[82, 8], Operations: ['31-15=16', '16/2=8'] Exploring Operation: 82+8=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[31, 15, 2, 82], Operations: [] Exploring Operation: 82/2=41, Resulting Numbers: [31, 15, 41] Generated Node #0,0: 90:[31, 15, 41] Operation: 82/2=41 Exploring Operation: 2+82=84, Resulting Numbers: [31, 15, 84] Generated Node #0,1: 90:[31, 15, 84] Operation: 2+82=84 Exploring Operation: 15+82=97, Resulting Numbers: [31, 2, 97] Generated Node #0,2: 90:[31, 2, 97] Operation: 15+82=97 Exploring Operation: 82-31=51, Resulting Numbers: [15, 2, 51] Generated Node #0,3: 90:[15, 2, 51] Operation: 82-31=51 Moving to Node #0,0 Current State: 90:[31, 15, 41], Operations: ['82/2=41'] Exploring Operation: 41-31=10, Resulting Numbers: [15, 10] Generated Node #0,0,0: 90:[15, 10] Operation: 41-31=10 Exploring Operation: 41-15=26, Resulting Numbers: [31, 26] Generated Node #0,0,1: 90:[31, 26] Operation: 41-15=26 Exploring Operation: 31-15=16, Resulting Numbers: [41, 16] Generated Node #0,0,2: 90:[41, 16] Operation: 31-15=16 Exploring Operation: 31+15=46, Resulting Numbers: [41, 46] Generated Node #0,0,3: 90:[41, 46] Operation: 31+15=46 Moving to Node #0,3 Current State: 90:[15, 2, 51], Operations: ['82-31=51'] Exploring Operation: 51-2=49, Resulting Numbers: [15, 49] Generated Node #0,3,0: 90:[15, 49] Operation: 51-2=49 Exploring Operation: 15+2=17, Resulting Numbers: [51, 17] Generated Node #0,3,1: 90:[51, 17] Operation: 15+2=17 Exploring Operation: 15*2=30, Resulting Numbers: [51, 30] Generated Node #0,3,2: 90:[51, 30] Operation: 15*2=30 Exploring Operation: 51-15=36, Resulting Numbers: [2, 36] Generated Node #0,3,3: 90:[2, 36] Operation: 51-15=36 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 90:[15, 49], Operations: ['82-31=51', '51-2=49'] Exploring Operation: 15*49=735, Resulting Numbers: [735] 735,90 unequal: No Solution Exploring Operation: 49-15=34, Resulting Numbers: [34] 34,90 unequal: No Solution Exploring Operation: 15+49=64, Resulting Numbers: [64] 64,90 unequal: No Solution No 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: 90:[51, 30], Operations: ['82-31=51', '15*2=30'] Exploring Operation: 51-30=21, Resulting Numbers: [21] 21,90 unequal: No Solution Exploring Operation: 51*30=1530, Resulting Numbers: [1530] 1530,90 unequal: No Solution Exploring Operation: 51+30=81, Resulting Numbers: [81] 81,90 unequal: No Solution No 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: 90:[2, 36], Operations: ['82-31=51', '51-15=36'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,90 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,90 unequal: No Solution Exploring Operation: 2+36=38, Resulting Numbers: [38] 38,90 unequal: No Solution Exploring Operation: 2*36=72, Resulting Numbers: [72] 72,90 unequal: No Solution No 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: 90:[51, 17], Operations: ['82-31=51', '15+2=17'] Exploring Operation: 51+17=68, Resulting Numbers: [68] 68,90 unequal: No Solution Exploring Operation: 51/17=3, Resulting Numbers: [3] 3,90 unequal: No Solution Exploring Operation: 51-17=34, Resulting Numbers: [34] 34,90 unequal: No Solution Exploring Operation: 51*17=867, Resulting Numbers: [867] 867,90 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: 90:[31, 15, 84], Operations: ['2+82=84'] Exploring Operation: 84-31=53, Resulting Numbers: [15, 53] Generated Node #0,1,0: 90:[15, 53] Operation: 84-31=53 Exploring Operation: 31-15=16, Resulting Numbers: [84, 16] Generated Node #0,1,1: 90:[84, 16] Operation: 31-15=16 Exploring Operation: 15+84=99, Resulting Numbers: [31, 99] Generated Node #0,1,2: 90:[31, 99] Operation: 15+84=99 Exploring Operation: 31+15=46, Resulting Numbers: [84, 46] Generated Node #0,1,3: 90:[84, 46] Operation: 31+15=46 Moving to Node #0,2 Current State: 90:[31, 2, 97], Operations: ['15+82=97'] Exploring Operation: 31+2=33, Resulting Numbers: [97, 33] Generated Node #0,2,0: 90:[97, 33] Operation: 31+2=33 Exploring Operation: 2+97=99, Resulting Numbers: [31, 99] Generated Node #0,2,1: 90:[31, 99] Operation: 2+97=99 Exploring Operation: 97-2=95, Resulting Numbers: [31, 95] Generated Node #0,2,2: 90:[31, 95] Operation: 97-2=95 Exploring Operation: 31-2=29, Resulting Numbers: [97, 29] Generated Node #0,2,3: 90:[97, 29] Operation: 31-2=29 Moving to Node #0,0,0 Current State: 90:[15, 10], Operations: ['82/2=41', '41-31=10'] Exploring Operation: 15*10=150, Resulting Numbers: [150] 150,90 unequal: No Solution Exploring Operation: 15+10=25, Resulting Numbers: [25] 25,90 unequal: No Solution Exploring Operation: 15-10=5, Resulting Numbers: [5] 5,90 unequal: No Solution Moving to Node #0,0,2 Current State: 90:[41, 16], Operations: ['82/2=41', '31-15=16'] Exploring Operation: 41-16=25, Resulting Numbers: [25] 25,90 unequal: No Solution Exploring Operation: 41*16=656, Resulting Numbers: [656] 656,90 unequal: No Solution Exploring Operation: 41+16=57, Resulting Numbers: [57] 57,90 unequal: No Solution Moving to Node #0,0,1 Current State: 90:[31, 26], Operations: ['82/2=41', '41-15=26'] Exploring Operation: 31-26=5, Resulting Numbers: [5] 5,90 unequal: No Solution Exploring Operation: 31+26=57, Resulting Numbers: [57] 57,90 unequal: No Solution Exploring Operation: 31*26=806, Resulting Numbers: [806] 806,90 unequal: No Solution Moving to Node #0,0,3 Current State: 90:[41, 46], Operations: ['82/2=41', '31+15=46'] Exploring Operation: 46-41=5, Resulting Numbers: [5] 5,90 unequal: No Solution Exploring Operation: 41*46=1886, Resulting Numbers: [1886] 1886,90 unequal: No Solution Exploring Operation: 41+46=87, Resulting Numbers: [87] 87,90 unequal: No Solution Moving to Node #0,2,2 Current State: 90:[31, 95], Operations: ['15+82=97', '97-2=95'] Exploring Operation: 31*95=2945, Resulting Numbers: [2945] 2945,90 unequal: No Solution Exploring Operation: 31+95=126, Resulting Numbers: [126] 126,90 unequal: No Solution Exploring Operation: 95-31=64, Resulting Numbers: [64] 64,90 unequal: No Solution Moving to Node #0,1,3 Current State: 90:[84, 46], Operations: ['2+82=84', '31+15=46'] Exploring Operation: 84+46=130, Resulting Numbers: [130] 130,90 unequal: No Solution Exploring Operation: 84-46=38, Resulting Numbers: [38] 38,90 unequal: No Solution Exploring Operation: 84*46=3864, Resulting Numbers: [3864] 3864,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[84, 16], Operations: ['2+82=84', '31-15=16'] Exploring Operation: 84*16=1344, Resulting Numbers: [1344] 1344,90 unequal: No Solution Exploring Operation: 84+16=100, Resulting Numbers: [100] 100,90 unequal: No Solution Exploring Operation: 84-16=68, Resulting Numbers: [68] 68,90 unequal: No Solution Moving to Node #0,1,0 Current State: 90:[15, 53], Operations: ['2+82=84', '84-31=53'] Exploring Operation: 53-15=38, Resulting Numbers: [38] 38,90 unequal: No Solution Exploring Operation: 15*53=795, Resulting Numbers: [795] 795,90 unequal: No Solution Exploring Operation: 15+53=68, Resulting Numbers: [68] 68,90 unequal: No Solution Moving to Node #0,2,3 Current State: 90:[97, 29], Operations: ['15+82=97', '31-2=29'] Exploring Operation: 97+29=126, Resulting Numbers: [126] 126,90 unequal: No Solution Exploring Operation: 97*29=2813, Resulting Numbers: [2813] 2813,90 unequal: No Solution Exploring Operation: 97-29=68, Resulting Numbers: [68] 68,90 unequal: No Solution Moving to Node #0,2,1 Current State: 90:[31, 99], Operations: ['15+82=97', '2+97=99'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,90 unequal: No Solution Exploring Operation: 31*99=3069, Resulting Numbers: [3069] 3069,90 unequal: No Solution Exploring Operation: 31+99=130, Resulting Numbers: [130] 130,90 unequal: No Solution Moving to Node #0,1,2 Current State: 90:[31, 99], Operations: ['2+82=84', '15+84=99'] Exploring Operation: 99-31=68, Resulting Numbers: [68] 68,90 unequal: No Solution Exploring Operation: 31+99=130, Resulting Numbers: [130] 130,90 unequal: No Solution Exploring Operation: 31*99=3069, Resulting Numbers: [3069] 3069,90 unequal: No Solution Moving to Node #0,2,0 Current State: 90:[97, 33], Operations: ['15+82=97', '31+2=33'] Exploring Operation: 97-33=64, Resulting Numbers: [64] 64,90 unequal: No Solution Exploring Operation: 97*33=3201, Resulting Numbers: [3201] 3201,90 unequal: No Solution Exploring Operation: 97+33=130, Resulting Numbers: [130] 130,90 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 59, 69, 35, 70 ]
12
[ "69-59=10", "70/35=2", "10+2=12" ]
Current State: 12:[59, 69, 35, 70], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [35, 70, 10] Generated Node #2: [35, 70, 10] from Operation: 69-59=10 Current State: 12:[35, 70, 10], Operations: ['69-59=10'] Exploring Operation: 70/35=2, Resulting Numbers: [10, 2] Generated Node #3: [10, 2] from Operation: 70/35=2 Current State: 12:[10, 2], Operations: ['69-59=10', '70/35=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
Current State: 12:[59, 69, 35, 70], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [35, 70, 10] Generated Node #0,0: 12:[35, 70, 10] Operation: 69-59=10 Exploring Operation: 70/35=2, Resulting Numbers: [59, 69, 2] Generated Node #0,1: 12:[59, 69, 2] Operation: 70/35=2 Exploring Operation: 70-59=11, Resulting Numbers: [69, 35, 11] Generated Node #0,2: 12:[69, 35, 11] Operation: 70-59=11 Exploring Operation: 70-69=1, Resulting Numbers: [59, 35, 1] Generated Node #0,3: 12:[59, 35, 1] Operation: 70-69=1 Start Sub Search at level 1: Moving to Node #0,3 Current State: 12:[59, 35, 1], Operations: ['70-69=1'] Exploring Operation: 59-35=24, Resulting Numbers: [1, 24] Generated Node #0,3,0: 12:[1, 24] Operation: 59-35=24 Exploring Operation: 59-1=58, Resulting Numbers: [35, 58] Generated Node #0,3,1: 12:[35, 58] Operation: 59-1=58 Exploring Operation: 59*1=59, Resulting Numbers: [35, 59] Generated Node #0,3,2: 12:[35, 59] Operation: 59*1=59 Exploring Operation: 35-1=34, Resulting Numbers: [59, 34] Generated Node #0,3,3: 12:[59, 34] Operation: 35-1=34 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 12:[1, 24], Operations: ['70-69=1', '59-35=24'] Exploring Operation: 24/1=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 1*24=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 1+24=25, Resulting Numbers: [25] 25,12 unequal: No Solution Exploring Operation: 24-1=23, Resulting Numbers: [23] 23,12 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 12:[35, 58], Operations: ['70-69=1', '59-1=58'] Exploring Operation: 35*58=2030, Resulting Numbers: [2030] 2030,12 unequal: No Solution Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,12 unequal: No Solution Exploring Operation: 35+58=93, Resulting Numbers: [93] 93,12 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 12:[59, 34], Operations: ['70-69=1', '35-1=34'] Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,12 unequal: No Solution Exploring Operation: 59+34=93, Resulting Numbers: [93] 93,12 unequal: No Solution Exploring Operation: 59*34=2006, Resulting Numbers: [2006] 2006,12 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 12:[35, 59], Operations: ['70-69=1', '59*1=59'] Exploring Operation: 35*59=2065, Resulting Numbers: [2065] 2065,12 unequal: No Solution Exploring Operation: 59-35=24, Resulting Numbers: [24] 24,12 unequal: No Solution Exploring Operation: 35+59=94, Resulting Numbers: [94] 94,12 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: 12:[69, 35, 11], Operations: ['70-59=11'] Exploring Operation: 35-11=24, Resulting Numbers: [69, 24] Generated Node #0,2,0: 12:[69, 24] Operation: 35-11=24 Exploring Operation: 69-11=58, Resulting Numbers: [35, 58] Generated Node #0,2,1: 12:[35, 58] Operation: 69-11=58 Exploring Operation: 69+11=80, Resulting Numbers: [35, 80] Generated Node #0,2,2: 12:[35, 80] Operation: 69+11=80 Exploring Operation: 69-35=34, Resulting Numbers: [11, 34] Generated Node #0,2,3: 12:[11, 34] Operation: 69-35=34 Moving to Node #0,2,3 Current State: 12:[11, 34], Operations: ['70-59=11', '69-35=34'] Exploring Operation: 34-11=23, Resulting Numbers: [23] 23,12 unequal: No Solution Exploring Operation: 11*34=374, Resulting Numbers: [374] 374,12 unequal: No Solution Exploring Operation: 11+34=45, Resulting Numbers: [45] 45,12 unequal: No Solution Moving to Node #0,2,1 Current State: 12:[35, 58], Operations: ['70-59=11', '69-11=58'] Exploring Operation: 35*58=2030, Resulting Numbers: [2030] 2030,12 unequal: No Solution Exploring Operation: 35+58=93, Resulting Numbers: [93] 93,12 unequal: No Solution Exploring Operation: 58-35=23, Resulting Numbers: [23] 23,12 unequal: No Solution Moving to Node #0,2,0 Current State: 12:[69, 24], Operations: ['70-59=11', '35-11=24'] Exploring Operation: 69-24=45, Resulting Numbers: [45] 45,12 unequal: No Solution Exploring Operation: 69+24=93, Resulting Numbers: [93] 93,12 unequal: No Solution Exploring Operation: 69*24=1656, Resulting Numbers: [1656] 1656,12 unequal: No Solution Moving to Node #0,2,2 Current State: 12:[35, 80], Operations: ['70-59=11', '69+11=80'] Exploring Operation: 35*80=2800, Resulting Numbers: [2800] 2800,12 unequal: No Solution Exploring Operation: 80-35=45, Resulting Numbers: [45] 45,12 unequal: No Solution Exploring Operation: 35+80=115, Resulting Numbers: [115] 115,12 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 12:[35, 70, 10], Operations: ['69-59=10'] Exploring Operation: 70-35=35, Resulting Numbers: [10, 35] Generated Node #0,0,0: 12:[10, 35] Operation: 70-35=35 Exploring Operation: 35-10=25, Resulting Numbers: [70, 25] Generated Node #0,0,1: 12:[70, 25] Operation: 35-10=25 Exploring Operation: 70/10=7, Resulting Numbers: [35, 7] Generated Node #0,0,2: 12:[35, 7] Operation: 70/10=7 Exploring Operation: 70/35=2, Resulting Numbers: [10, 2] Generated Node #0,0,3: 12:[10, 2] Operation: 70/35=2 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 12:[10, 2], Operations: ['69-59=10', '70/35=2'] Exploring Operation: 10/2=5, Resulting Numbers: [5] 5,12 unequal: No Solution Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Moving to Node #0 Current State: 12:[59, 69, 35, 70], Operations: [] Exploring Operation: 69-59=10, Resulting Numbers: [35, 70, 10] Generated Node #0,0: 12:[35, 70, 10] Operation: 69-59=10 Moving to Node #0,0 Current State: 12:[35, 70, 10], Operations: ['69-59=10'] Exploring Operation: 70/35=2, Resulting Numbers: [10, 2] Generated Node #0,0,3: 12:[10, 2] Operation: 70/35=2 Moving to Node #0,0,3 Current State: 12:[10, 2], Operations: ['69-59=10', '70/35=2'] Exploring Operation: 10+2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.959201
hs_4
sum_heuristic
[ 83, 45, 3, 33 ]
98
[ "83+45=128", "33-3=30", "128-30=98" ]
Current State: 98:[83, 45, 3, 33], Operations: [] Exploring Operation: 83+45=128, Resulting Numbers: [3, 33, 128] Generated Node #2: [3, 33, 128] from Operation: 83+45=128 Current State: 98:[3, 33, 128], Operations: ['83+45=128'] Exploring Operation: 33-3=30, Resulting Numbers: [128, 30] Generated Node #3: [128, 30] from Operation: 33-3=30 Current State: 98:[128, 30], Operations: ['83+45=128', '33-3=30'] Exploring Operation: 128-30=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
Current State: 98:[83, 45, 3, 33], Operations: [] Exploring Operation: 33/3=11, Resulting Numbers: [83, 45, 11] Generated Node #0,0: 98:[83, 45, 11] Operation: 33/3=11 Exploring Operation: 3*33=99, Resulting Numbers: [83, 45, 99] Generated Node #0,1: 98:[83, 45, 99] Operation: 3*33=99 Exploring Operation: 45-33=12, Resulting Numbers: [83, 3, 12] Generated Node #0,2: 98:[83, 3, 12] Operation: 45-33=12 Exploring Operation: 83-33=50, Resulting Numbers: [45, 3, 50] Generated Node #0,3: 98:[45, 3, 50] Operation: 83-33=50 Start Sub Search at level 1: Moving to Node #0,3 Current State: 98:[45, 3, 50], Operations: ['83-33=50'] Exploring Operation: 45/3=15, Resulting Numbers: [50, 15] Generated Node #0,3,0: 98:[50, 15] Operation: 45/3=15 Exploring Operation: 45+50=95, Resulting Numbers: [3, 95] Generated Node #0,3,1: 98:[3, 95] Operation: 45+50=95 Exploring Operation: 50-45=5, Resulting Numbers: [3, 5] Generated Node #0,3,2: 98:[3, 5] Operation: 50-45=5 Exploring Operation: 45+3=48, Resulting Numbers: [50, 48] Generated Node #0,3,3: 98:[50, 48] Operation: 45+3=48 Moving to Node #0,3,0 Current State: 98:[50, 15], Operations: ['83-33=50', '45/3=15'] Exploring Operation: 50+15=65, Resulting Numbers: [65] 65,98 unequal: No Solution Exploring Operation: 50-15=35, Resulting Numbers: [35] 35,98 unequal: No Solution Exploring Operation: 50*15=750, Resulting Numbers: [750] 750,98 unequal: No Solution Moving to Node #0,3,3 Current State: 98:[50, 48], Operations: ['83-33=50', '45+3=48'] Exploring Operation: 50*48=2400, Resulting Numbers: [2400] 2400,98 unequal: No Solution Exploring Operation: 50+48=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Moving to Node #0 Current State: 98:[83, 45, 3, 33], Operations: [] Exploring Operation: 83-33=50, Resulting Numbers: [45, 3, 50] Generated Node #0,3: 98:[45, 3, 50] Operation: 83-33=50 Moving to Node #0,3 Current State: 98:[45, 3, 50], Operations: ['83-33=50'] Exploring Operation: 45+3=48, Resulting Numbers: [50, 48] Generated Node #0,3,3: 98:[50, 48] Operation: 45+3=48 Moving to Node #0,3,3 Current State: 98:[50, 48], Operations: ['83-33=50', '45+3=48'] Exploring Operation: 50+48=98, Resulting Numbers: [98] 98,98 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_4
sum_heuristic
[ 83, 3, 83, 46 ]
42
[ "83/83=1", "46-3=43", "43-1=42" ]
Current State: 42:[83, 3, 83, 46], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [3, 46, 1] Generated Node #2: [3, 46, 1] from Operation: 83/83=1 Current State: 42:[3, 46, 1], Operations: ['83/83=1'] Exploring Operation: 46-3=43, Resulting Numbers: [1, 43] Generated Node #3: [1, 43] from Operation: 46-3=43 Current State: 42:[1, 43], Operations: ['83/83=1', '46-3=43'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[83, 3, 83, 46], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [3, 46, 1] Generated Node #0,0: 42:[3, 46, 1] Operation: 83/83=1 Moving to Node #0,0 Current State: 42:[3, 46, 1], Operations: ['83/83=1'] Exploring Operation: 46-3=43, Resulting Numbers: [1, 43] Generated Node #0,0,0: 42:[1, 43] Operation: 46-3=43 Moving to Node #0,0,0 Current State: 42:[1, 43], Operations: ['83/83=1', '46-3=43'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[83, 3, 83, 46], Operations: [] Exploring Operation: 83/83=1, Resulting Numbers: [3, 46, 1] Generated Node #0,0: 42:[3, 46, 1] Operation: 83/83=1 Moving to Node #0,0 Current State: 42:[3, 46, 1], Operations: ['83/83=1'] Exploring Operation: 46-3=43, Resulting Numbers: [1, 43] Generated Node #0,0,0: 42:[1, 43] Operation: 46-3=43 Moving to Node #0,0,0 Current State: 42:[1, 43], Operations: ['83/83=1', '46-3=43'] Exploring Operation: 43-1=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 42, 87, 10, 19 ]
39
[ "10+19=29", "87/29=3", "42-3=39" ]
Current State: 39:[42, 87, 10, 19], Operations: [] Exploring Operation: 10+19=29, Resulting Numbers: [42, 87, 29] Generated Node #2: [42, 87, 29] from Operation: 10+19=29 Current State: 39:[42, 87, 29], Operations: ['10+19=29'] Exploring Operation: 87/29=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 87/29=3 Current State: 39:[42, 3], Operations: ['10+19=29', '87/29=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[42, 87, 10, 19], Operations: [] Exploring Operation: 87-42=45, Resulting Numbers: [10, 19, 45] Generated Node #0,0: 39:[10, 19, 45] Operation: 87-42=45 Exploring Operation: 87-19=68, Resulting Numbers: [42, 10, 68] Generated Node #0,1: 39:[42, 10, 68] Operation: 87-19=68 Exploring Operation: 87-10=77, Resulting Numbers: [42, 19, 77] Generated Node #0,2: 39:[42, 19, 77] Operation: 87-10=77 Moving to Node #0,0 Current State: 39:[10, 19, 45], Operations: ['87-42=45'] Exploring Operation: 19-10=9, Resulting Numbers: [45, 9] Generated Node #0,0,0: 39:[45, 9] Operation: 19-10=9 Exploring Operation: 10+19=29, Resulting Numbers: [45, 29] Generated Node #0,0,1: 39:[45, 29] Operation: 10+19=29 Exploring Operation: 45-10=35, Resulting Numbers: [19, 35] Generated Node #0,0,2: 39:[19, 35] Operation: 45-10=35 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 39:[45, 9], Operations: ['87-42=45', '19-10=9'] Exploring Operation: 45/9=5, Resulting Numbers: [5] 5,39 unequal: No Solution Exploring Operation: 45+9=54, Resulting Numbers: [54] 54,39 unequal: No Solution Exploring Operation: 45-9=36, Resulting Numbers: [36] 36,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 39:[19, 35], Operations: ['87-42=45', '45-10=35'] Exploring Operation: 19*35=665, Resulting Numbers: [665] 665,39 unequal: No Solution Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,39 unequal: No Solution Exploring Operation: 19+35=54, Resulting Numbers: [54] 54,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 39:[45, 29], Operations: ['87-42=45', '10+19=29'] Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,39 unequal: No Solution Exploring Operation: 45*29=1305, Resulting Numbers: [1305] 1305,39 unequal: No Solution Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,39 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: 39:[42, 10, 68], Operations: ['87-19=68'] Exploring Operation: 42-10=32, Resulting Numbers: [68, 32] Generated Node #0,1,0: 39:[68, 32] Operation: 42-10=32 Exploring Operation: 68-10=58, Resulting Numbers: [42, 58] Generated Node #0,1,1: 39:[42, 58] Operation: 68-10=58 Exploring Operation: 68-42=26, Resulting Numbers: [10, 26] Generated Node #0,1,2: 39:[10, 26] Operation: 68-42=26 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 39:[10, 26], Operations: ['87-19=68', '68-42=26'] Exploring Operation: 10*26=260, Resulting Numbers: [260] 260,39 unequal: No Solution Exploring Operation: 10+26=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 26-10=16, Resulting Numbers: [16] 16,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 39:[42, 58], Operations: ['87-19=68', '68-10=58'] Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,39 unequal: No Solution Exploring Operation: 42+58=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 42*58=2436, Resulting Numbers: [2436] 2436,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 39:[68, 32], Operations: ['87-19=68', '42-10=32'] Exploring Operation: 68*32=2176, Resulting Numbers: [2176] 2176,39 unequal: No Solution Exploring Operation: 68-32=36, Resulting Numbers: [36] 36,39 unequal: No Solution Exploring Operation: 68+32=100, Resulting Numbers: [100] 100,39 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 39:[42, 19, 77], Operations: ['87-10=77'] Exploring Operation: 77-42=35, Resulting Numbers: [19, 35] Generated Node #0,2,0: 39:[19, 35] Operation: 77-42=35 Exploring Operation: 77-19=58, Resulting Numbers: [42, 58] Generated Node #0,2,1: 39:[42, 58] Operation: 77-19=58 Exploring Operation: 42-19=23, Resulting Numbers: [77, 23] Generated Node #0,2,2: 39:[77, 23] Operation: 42-19=23 Moving to Node #0,2,0 Current State: 39:[19, 35], Operations: ['87-10=77', '77-42=35'] Exploring Operation: 19+35=54, Resulting Numbers: [54] 54,39 unequal: No Solution Exploring Operation: 19*35=665, Resulting Numbers: [665] 665,39 unequal: No Solution Exploring Operation: 35-19=16, Resulting Numbers: [16] 16,39 unequal: No Solution Moving to Node #0,2,1 Current State: 39:[42, 58], Operations: ['87-10=77', '77-19=58'] Exploring Operation: 42+58=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 42*58=2436, Resulting Numbers: [2436] 2436,39 unequal: No Solution Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,39 unequal: No Solution Moving to Node #0,2,2 Current State: 39:[77, 23], Operations: ['87-10=77', '42-19=23'] Exploring Operation: 77*23=1771, Resulting Numbers: [1771] 1771,39 unequal: No Solution Exploring Operation: 77+23=100, Resulting Numbers: [100] 100,39 unequal: No Solution Exploring Operation: 77-23=54, Resulting Numbers: [54] 54,39 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 81, 6, 2, 36 ]
63
[ "81*2=162", "162/6=27", "36+27=63" ]
Current State: 63:[81, 6, 2, 36], Operations: [] Exploring Operation: 81*2=162, Resulting Numbers: [6, 36, 162] Generated Node #2: [6, 36, 162] from Operation: 81*2=162 Current State: 63:[6, 36, 162], Operations: ['81*2=162'] Exploring Operation: 162/6=27, Resulting Numbers: [36, 27] Generated Node #3: [36, 27] from Operation: 162/6=27 Current State: 63:[36, 27], Operations: ['81*2=162', '162/6=27'] Exploring Operation: 36+27=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[81, 6, 2, 36], Operations: [] Exploring Operation: 36/2=18, Resulting Numbers: [81, 6, 18] Generated Node #0,0: 63:[81, 6, 18] Operation: 36/2=18 Exploring Operation: 36/6=6, Resulting Numbers: [81, 2, 6] Generated Node #0,1: 63:[81, 2, 6] Operation: 36/6=6 Exploring Operation: 81-36=45, Resulting Numbers: [6, 2, 45] Generated Node #0,2: 63:[6, 2, 45] Operation: 81-36=45 Start Sub Search at level 1: Moving to Node #0,1 Current State: 63:[81, 2, 6], Operations: ['36/6=6'] Exploring Operation: 81-6=75, Resulting Numbers: [2, 75] Generated Node #0,1,0: 63:[2, 75] Operation: 81-6=75 Exploring Operation: 81-2=79, Resulting Numbers: [6, 79] Generated Node #0,1,1: 63:[6, 79] Operation: 81-2=79 Exploring Operation: 6/2=3, Resulting Numbers: [81, 3] Generated Node #0,1,2: 63:[81, 3] Operation: 6/2=3 Moving to Node #0,1,0 Current State: 63:[2, 75], Operations: ['36/6=6', '81-6=75'] Exploring Operation: 2+75=77, Resulting Numbers: [77] 77,63 unequal: No Solution Exploring Operation: 75-2=73, Resulting Numbers: [73] 73,63 unequal: No Solution Exploring Operation: 2*75=150, Resulting Numbers: [150] 150,63 unequal: No Solution Moving to Node #0,1,1 Current State: 63:[6, 79], Operations: ['36/6=6', '81-2=79'] Exploring Operation: 6+79=85, Resulting Numbers: [85] 85,63 unequal: No Solution Exploring Operation: 6*79=474, Resulting Numbers: [474] 474,63 unequal: No Solution Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,63 unequal: No Solution Moving to Node #0,1,2 Current State: 63:[81, 3], Operations: ['36/6=6', '6/2=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,63 unequal: No Solution Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,63 unequal: No Solution Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 63:[6, 2, 45], Operations: ['81-36=45'] Exploring Operation: 6/2=3, Resulting Numbers: [45, 3] Generated Node #0,2,0: 63:[45, 3] Operation: 6/2=3 Exploring Operation: 2+45=47, Resulting Numbers: [6, 47] Generated Node #0,2,1: 63:[6, 47] Operation: 2+45=47 Exploring Operation: 6+45=51, Resulting Numbers: [2, 51] Generated Node #0,2,2: 63:[2, 51] Operation: 6+45=51 Moving to Node #0,2,2 Current State: 63:[2, 51], Operations: ['81-36=45', '6+45=51'] Exploring Operation: 2*51=102, Resulting Numbers: [102] 102,63 unequal: No Solution Exploring Operation: 2+51=53, Resulting Numbers: [53] 53,63 unequal: No Solution Exploring Operation: 51-2=49, Resulting Numbers: [49] 49,63 unequal: No Solution Moving to Node #0,2,1 Current State: 63:[6, 47], Operations: ['81-36=45', '2+45=47'] Exploring Operation: 47-6=41, Resulting Numbers: [41] 41,63 unequal: No Solution Exploring Operation: 6+47=53, Resulting Numbers: [53] 53,63 unequal: No Solution Exploring Operation: 6*47=282, Resulting Numbers: [282] 282,63 unequal: No Solution Moving to Node #0,2,0 Current State: 63:[45, 3], Operations: ['81-36=45', '6/2=3'] Exploring Operation: 45/3=15, Resulting Numbers: [15] 15,63 unequal: No Solution Exploring Operation: 45+3=48, Resulting Numbers: [48] 48,63 unequal: No Solution Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 63:[81, 6, 18], Operations: ['36/2=18'] Exploring Operation: 81-18=63, Resulting Numbers: [6, 63] Generated Node #0,0,0: 63:[6, 63] Operation: 81-18=63 Exploring Operation: 81-6=75, Resulting Numbers: [18, 75] Generated Node #0,0,1: 63:[18, 75] Operation: 81-6=75 Exploring Operation: 18/6=3, Resulting Numbers: [81, 3] Generated Node #0,0,2: 63:[81, 3] Operation: 18/6=3 Moving to Node #0,0,0 Current State: 63:[6, 63], Operations: ['36/2=18', '81-18=63'] Exploring Operation: 6+63=69, Resulting Numbers: [69] 69,63 unequal: No Solution Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,63 unequal: No Solution Exploring Operation: 6*63=378, Resulting Numbers: [378] 378,63 unequal: No Solution Moving to Node #0,0,1 Current State: 63:[18, 75], Operations: ['36/2=18', '81-6=75'] Exploring Operation: 18+75=93, Resulting Numbers: [93] 93,63 unequal: No Solution Exploring Operation: 18*75=1350, Resulting Numbers: [1350] 1350,63 unequal: No Solution Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,63 unequal: No Solution Moving to Node #0,0,2 Current State: 63:[81, 3], Operations: ['36/2=18', '18/6=3'] Exploring Operation: 81/3=27, Resulting Numbers: [27] 27,63 unequal: No Solution Exploring Operation: 81-3=78, Resulting Numbers: [78] 78,63 unequal: No Solution Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,63 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
[ 1, 72, 79, 44 ]
50
[ "1+72=73", "79+44=123", "123-73=50" ]
Current State: 50:[1, 72, 79, 44], Operations: [] Exploring Operation: 1+72=73, Resulting Numbers: [79, 44, 73] Generated Node #2: [79, 44, 73] from Operation: 1+72=73 Current State: 50:[79, 44, 73], Operations: ['1+72=73'] Exploring Operation: 79+44=123, Resulting Numbers: [73, 123] Generated Node #3: [73, 123] from Operation: 79+44=123 Current State: 50:[73, 123], Operations: ['1+72=73', '79+44=123'] Exploring Operation: 123-73=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[1, 72, 79, 44], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [1, 44, 7] Generated Node #0,0: 50:[1, 44, 7] Operation: 79-72=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 50:[1, 44, 7], Operations: ['79-72=7'] Exploring Operation: 44+7=51, Resulting Numbers: [1, 51] Generated Node #0,0,0: 50:[1, 51] Operation: 44+7=51 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 50:[1, 51], Operations: ['79-72=7', '44+7=51'] Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Moving to Node #0 Current State: 50:[1, 72, 79, 44], Operations: [] Exploring Operation: 79-72=7, Resulting Numbers: [1, 44, 7] Generated Node #0,0: 50:[1, 44, 7] Operation: 79-72=7 Moving to Node #0,0 Current State: 50:[1, 44, 7], Operations: ['79-72=7'] Exploring Operation: 44+7=51, Resulting Numbers: [1, 51] Generated Node #0,0,0: 50:[1, 51] Operation: 44+7=51 Moving to Node #0,0,0 Current State: 50:[1, 51], Operations: ['79-72=7', '44+7=51'] Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic
[ 8, 11, 4, 94 ]
71
[ "8+11=19", "94-4=90", "90-19=71" ]
Current State: 71:[8, 11, 4, 94], Operations: [] Exploring Operation: 8+11=19, Resulting Numbers: [4, 94, 19] Generated Node #2: [4, 94, 19] from Operation: 8+11=19 Current State: 71:[4, 94, 19], Operations: ['8+11=19'] Exploring Operation: 94-4=90, Resulting Numbers: [19, 90] Generated Node #3: [19, 90] from Operation: 94-4=90 Current State: 71:[19, 90], Operations: ['8+11=19', '94-4=90'] Exploring Operation: 90-19=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[8, 11, 4, 94], Operations: [] Exploring Operation: 8*11=88, Resulting Numbers: [4, 94, 88] Generated Node #0,0: 71:[4, 94, 88] Operation: 8*11=88 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[4, 94, 88], Operations: ['8*11=88'] Exploring Operation: 94-4=90, Resulting Numbers: [88, 90] Generated Node #0,0,0: 71:[88, 90] Operation: 94-4=90 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 71:[88, 90], Operations: ['8*11=88', '94-4=90'] Exploring Operation: 90-88=2, Resulting Numbers: [2] 2,71 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 82, 58, 14, 49 ]
84
[ "82-58=24", "49*24=1176", "1176/14=84" ]
Current State: 84:[82, 58, 14, 49], Operations: [] Exploring Operation: 82-58=24, Resulting Numbers: [14, 49, 24] Generated Node #2: [14, 49, 24] from Operation: 82-58=24 Current State: 84:[14, 49, 24], Operations: ['82-58=24'] Exploring Operation: 49*24=1176, Resulting Numbers: [14, 1176] Generated Node #3: [14, 1176] from Operation: 49*24=1176 Current State: 84:[14, 1176], Operations: ['82-58=24', '49*24=1176'] Exploring Operation: 1176/14=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[82, 58, 14, 49], Operations: [] Exploring Operation: 58-49=9, Resulting Numbers: [82, 14, 9] Generated Node #0,0: 84:[82, 14, 9] Operation: 58-49=9 Moving to Node #0,0 Current State: 84:[82, 14, 9], Operations: ['58-49=9'] Exploring Operation: 14-9=5, Resulting Numbers: [82, 5] Generated Node #0,0,0: 84:[82, 5] Operation: 14-9=5 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 84:[82, 5], Operations: ['58-49=9', '14-9=5'] Exploring Operation: 82+5=87, Resulting Numbers: [87] 87,84 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
[ 21, 37, 20, 15 ]
52
[ "21-20=1", "37+15=52", "1*52=52" ]
Current State: 52:[21, 37, 20, 15], Operations: [] Exploring Operation: 21-20=1, Resulting Numbers: [37, 15, 1] Generated Node #2: [37, 15, 1] from Operation: 21-20=1 Current State: 52:[37, 15, 1], Operations: ['21-20=1'] Exploring Operation: 37+15=52, Resulting Numbers: [1, 52] Generated Node #3: [1, 52] from Operation: 37+15=52 Current State: 52:[1, 52], Operations: ['21-20=1', '37+15=52'] Exploring Operation: 1*52=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[21, 37, 20, 15], Operations: [] Exploring Operation: 37-21=16, Resulting Numbers: [20, 15, 16] Generated Node #0,0: 52:[20, 15, 16] Operation: 37-21=16 Exploring Operation: 37+20=57, Resulting Numbers: [21, 15, 57] Generated Node #0,1: 52:[21, 15, 57] Operation: 37+20=57 Exploring Operation: 37-20=17, Resulting Numbers: [21, 15, 17] Generated Node #0,2: 52:[21, 15, 17] Operation: 37-20=17 Exploring Operation: 37+15=52, Resulting Numbers: [21, 20, 52] Generated Node #0,3: 52:[21, 20, 52] Operation: 37+15=52 Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[20, 15, 16], Operations: ['37-21=16'] Exploring Operation: 15+16=31, Resulting Numbers: [20, 31] Generated Node #0,0,0: 52:[20, 31] Operation: 15+16=31 Exploring Operation: 20-16=4, Resulting Numbers: [15, 4] Generated Node #0,0,1: 52:[15, 4] Operation: 20-16=4 Exploring Operation: 20-15=5, Resulting Numbers: [16, 5] Generated Node #0,0,2: 52:[16, 5] Operation: 20-15=5 Exploring Operation: 16-15=1, Resulting Numbers: [20, 1] Generated Node #0,0,3: 52:[20, 1] Operation: 16-15=1 Moving to Node #0,0,1 Current State: 52:[15, 4], Operations: ['37-21=16', '20-16=4'] Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,52 unequal: No Solution Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,52 unequal: No Solution Moving to Node #0,0,2 Current State: 52:[16, 5], Operations: ['37-21=16', '20-15=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,52 unequal: No Solution Moving to Node #0,0,3 Current State: 52:[20, 1], Operations: ['37-21=16', '16-15=1'] Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,52 unequal: No Solution Exploring Operation: 20+1=21, Resulting Numbers: [21] 21,52 unequal: No Solution Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 20*1=20, Resulting Numbers: [20] 20,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[20, 31], Operations: ['37-21=16', '15+16=31'] Exploring Operation: 20*31=620, Resulting Numbers: [620] 620,52 unequal: No Solution Exploring Operation: 31-20=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 20+31=51, Resulting Numbers: [51] 51,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[21, 15, 17], Operations: ['37-20=17'] Exploring Operation: 21-15=6, Resulting Numbers: [17, 6] Generated Node #0,2,0: 52:[17, 6] Operation: 21-15=6 Exploring Operation: 17-15=2, Resulting Numbers: [21, 2] Generated Node #0,2,1: 52:[21, 2] Operation: 17-15=2 Exploring Operation: 21-17=4, Resulting Numbers: [15, 4] Generated Node #0,2,2: 52:[15, 4] Operation: 21-17=4 Exploring Operation: 15+17=32, Resulting Numbers: [21, 32] Generated Node #0,2,3: 52:[21, 32] Operation: 15+17=32 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 52:[15, 4], Operations: ['37-20=17', '21-17=4'] Exploring Operation: 15+4=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 15-4=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 15*4=60, Resulting Numbers: [60] 60,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 52:[21, 2], Operations: ['37-20=17', '17-15=2'] Exploring Operation: 21+2=23, Resulting Numbers: [23] 23,52 unequal: No Solution Exploring Operation: 21-2=19, Resulting Numbers: [19] 19,52 unequal: No Solution Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,52 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:[17, 6], Operations: ['37-20=17', '21-15=6'] Exploring Operation: 17*6=102, Resulting Numbers: [102] 102,52 unequal: No Solution Exploring Operation: 17-6=11, Resulting Numbers: [11] 11,52 unequal: No Solution Exploring Operation: 17+6=23, Resulting Numbers: [23] 23,52 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 #0,2,3 Current State: 52:[21, 32], Operations: ['37-20=17', '15+17=32'] Exploring Operation: 21+32=53, Resulting Numbers: [53] 53,52 unequal: No Solution Exploring Operation: 21*32=672, Resulting Numbers: [672] 672,52 unequal: No Solution Exploring Operation: 32-21=11, Resulting Numbers: [11] 11,52 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:[21, 20, 52], Operations: ['37+15=52'] Exploring Operation: 21+20=41, Resulting Numbers: [52, 41] Generated Node #0,3,0: 52:[52, 41] Operation: 21+20=41 Exploring Operation: 52-20=32, Resulting Numbers: [21, 32] Generated Node #0,3,1: 52:[21, 32] Operation: 52-20=32 Exploring Operation: 52-21=31, Resulting Numbers: [20, 31] Generated Node #0,3,2: 52:[20, 31] Operation: 52-21=31 Exploring Operation: 21-20=1, Resulting Numbers: [52, 1] Generated Node #0,3,3: 52:[52, 1] Operation: 21-20=1 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 52:[52, 1], Operations: ['37+15=52', '21-20=1'] Exploring Operation: 52+1=53, Resulting Numbers: [53] 53,52 unequal: No Solution Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[21, 37, 20, 15], Operations: [] Exploring Operation: 37+15=52, Resulting Numbers: [21, 20, 52] Generated Node #0,3: 52:[21, 20, 52] Operation: 37+15=52 Moving to Node #0,3 Current State: 52:[21, 20, 52], Operations: ['37+15=52'] Exploring Operation: 21-20=1, Resulting Numbers: [52, 1] Generated Node #0,3,3: 52:[52, 1] Operation: 21-20=1 Moving to Node #0,3,3 Current State: 52:[52, 1], Operations: ['37+15=52', '21-20=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.959201
hs_4
mult_heuristic
[ 4, 56, 44, 64 ]
67
[ "56-44=12", "12/4=3", "64+3=67" ]
Current State: 67:[4, 56, 44, 64], Operations: [] Exploring Operation: 56-44=12, Resulting Numbers: [4, 64, 12] Generated Node #2: [4, 64, 12] from Operation: 56-44=12 Current State: 67:[4, 64, 12], Operations: ['56-44=12'] Exploring Operation: 12/4=3, Resulting Numbers: [64, 3] Generated Node #3: [64, 3] from Operation: 12/4=3 Current State: 67:[64, 3], Operations: ['56-44=12', '12/4=3'] Exploring Operation: 64+3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
Current State: 67:[4, 56, 44, 64], Operations: [] Exploring Operation: 4+64=68, Resulting Numbers: [56, 44, 68] Generated Node #0,0: 67:[56, 44, 68] Operation: 4+64=68 Exploring Operation: 4+56=60, Resulting Numbers: [44, 64, 60] Generated Node #0,1: 67:[44, 64, 60] Operation: 4+56=60 Exploring Operation: 56-4=52, Resulting Numbers: [44, 64, 52] Generated Node #0,2: 67:[44, 64, 52] Operation: 56-4=52 Exploring Operation: 44-4=40, Resulting Numbers: [56, 64, 40] Generated Node #0,3: 67:[56, 64, 40] Operation: 44-4=40 Exploring Operation: 4+44=48, Resulting Numbers: [56, 64, 48] Generated Node #0,4: 67:[56, 64, 48] Operation: 4+44=48 Start Sub Search at level 1: Moving to Node #0,1 Current State: 67:[44, 64, 60], Operations: ['4+56=60'] Exploring Operation: 64+60=124, Resulting Numbers: [44, 124] Generated Node #0,1,0: 67:[44, 124] Operation: 64+60=124 Exploring Operation: 44+60=104, Resulting Numbers: [64, 104] Generated Node #0,1,1: 67:[64, 104] Operation: 44+60=104 Exploring Operation: 64-44=20, Resulting Numbers: [60, 20] Generated Node #0,1,2: 67:[60, 20] Operation: 64-44=20 Exploring Operation: 44+64=108, Resulting Numbers: [60, 108] Generated Node #0,1,3: 67:[60, 108] Operation: 44+64=108 Exploring Operation: 60-44=16, Resulting Numbers: [64, 16] Generated Node #0,1,4: 67:[64, 16] Operation: 60-44=16 Moving to Node #0,1,1 Current State: 67:[64, 104], Operations: ['4+56=60', '44+60=104'] Exploring Operation: 64+104=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 64*104=6656, Resulting Numbers: [6656] 6656,67 unequal: No Solution Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,67 unequal: No Solution Moving to Node #0,1,3 Current State: 67:[60, 108], Operations: ['4+56=60', '44+64=108'] Exploring Operation: 60+108=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 60*108=6480, Resulting Numbers: [6480] 6480,67 unequal: No Solution Exploring Operation: 108-60=48, Resulting Numbers: [48] 48,67 unequal: No Solution Moving to Node #0,1,2 Current State: 67:[60, 20], Operations: ['4+56=60', '64-44=20'] Exploring Operation: 60/20=3, Resulting Numbers: [3] 3,67 unequal: No Solution Exploring Operation: 60-20=40, Resulting Numbers: [40] 40,67 unequal: No Solution Exploring Operation: 60+20=80, Resulting Numbers: [80] 80,67 unequal: No Solution Exploring Operation: 60*20=1200, Resulting Numbers: [1200] 1200,67 unequal: No Solution Moving to Node #0,1,4 Current State: 67:[64, 16], Operations: ['4+56=60', '60-44=16'] Exploring Operation: 64*16=1024, Resulting Numbers: [1024] 1024,67 unequal: No Solution Exploring Operation: 64/16=4, Resulting Numbers: [4] 4,67 unequal: No Solution Exploring Operation: 64-16=48, Resulting Numbers: [48] 48,67 unequal: No Solution Exploring Operation: 64+16=80, Resulting Numbers: [80] 80,67 unequal: No Solution Moving to Node #0,1,0 Current State: 67:[44, 124], Operations: ['4+56=60', '64+60=124'] Exploring Operation: 44+124=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 44*124=5456, Resulting Numbers: [5456] 5456,67 unequal: No Solution Exploring Operation: 124-44=80, Resulting Numbers: [80] 80,67 unequal: No Solution No 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: 67:[56, 64, 48], Operations: ['4+44=48'] Exploring Operation: 56+64=120, Resulting Numbers: [48, 120] Generated Node #0,4,0: 67:[48, 120] Operation: 56+64=120 Exploring Operation: 64-48=16, Resulting Numbers: [56, 16] Generated Node #0,4,1: 67:[56, 16] Operation: 64-48=16 Exploring Operation: 56-48=8, Resulting Numbers: [64, 8] Generated Node #0,4,2: 67:[64, 8] Operation: 56-48=8 Exploring Operation: 56+48=104, Resulting Numbers: [64, 104] Generated Node #0,4,3: 67:[64, 104] Operation: 56+48=104 Exploring Operation: 64+48=112, Resulting Numbers: [56, 112] Generated Node #0,4,4: 67:[56, 112] Operation: 64+48=112 Moving to Node #0,4,3 Current State: 67:[64, 104], Operations: ['4+44=48', '56+48=104'] Exploring Operation: 64+104=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 104-64=40, Resulting Numbers: [40] 40,67 unequal: No Solution Exploring Operation: 64*104=6656, Resulting Numbers: [6656] 6656,67 unequal: No Solution Moving to Node #0,4,4 Current State: 67:[56, 112], Operations: ['4+44=48', '64+48=112'] Exploring Operation: 56+112=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 112/56=2, Resulting Numbers: [2] 2,67 unequal: No Solution Exploring Operation: 56*112=6272, Resulting Numbers: [6272] 6272,67 unequal: No Solution Exploring Operation: 112-56=56, Resulting Numbers: [56] 56,67 unequal: No Solution Moving to Node #0,4,1 Current State: 67:[56, 16], Operations: ['4+44=48', '64-48=16'] Exploring Operation: 56*16=896, Resulting Numbers: [896] 896,67 unequal: No Solution Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,67 unequal: No Solution Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,67 unequal: No Solution Moving to Node #0,4,2 Current State: 67:[64, 8], Operations: ['4+44=48', '56-48=8'] Exploring Operation: 64*8=512, Resulting Numbers: [512] 512,67 unequal: No Solution Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,67 unequal: No Solution Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,67 unequal: No Solution Exploring Operation: 64/8=8, Resulting Numbers: [8] 8,67 unequal: No Solution Moving to Node #0,4,0 Current State: 67:[48, 120], Operations: ['4+44=48', '56+64=120'] Exploring Operation: 48+120=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,67 unequal: No Solution Exploring Operation: 48*120=5760, Resulting Numbers: [5760] 5760,67 unequal: No Solution No 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: 67:[56, 44, 68], Operations: ['4+64=68'] Exploring Operation: 68-56=12, Resulting Numbers: [44, 12] Generated Node #0,0,0: 67:[44, 12] Operation: 68-56=12 Exploring Operation: 44+68=112, Resulting Numbers: [56, 112] Generated Node #0,0,1: 67:[56, 112] Operation: 44+68=112 Exploring Operation: 56-44=12, Resulting Numbers: [68, 12] Generated Node #0,0,2: 67:[68, 12] Operation: 56-44=12 Exploring Operation: 56+44=100, Resulting Numbers: [68, 100] Generated Node #0,0,3: 67:[68, 100] Operation: 56+44=100 Exploring Operation: 68-44=24, Resulting Numbers: [56, 24] Generated Node #0,0,4: 67:[56, 24] Operation: 68-44=24 Moving to Node #0,0,3 Current State: 67:[68, 100], Operations: ['4+64=68', '56+44=100'] Exploring Operation: 68+100=168, Resulting Numbers: [168] 168,67 unequal: No Solution Exploring Operation: 100-68=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 68*100=6800, Resulting Numbers: [6800] 6800,67 unequal: No Solution Moving to Node #0,0,4 Current State: 67:[56, 24], Operations: ['4+64=68', '68-44=24'] Exploring Operation: 56*24=1344, Resulting Numbers: [1344] 1344,67 unequal: No Solution Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,67 unequal: No Solution Moving to Node #0,0,1 Current State: 67:[56, 112], Operations: ['4+64=68', '44+68=112'] Exploring Operation: 112/56=2, Resulting Numbers: [2] 2,67 unequal: No Solution Exploring Operation: 112-56=56, Resulting Numbers: [56] 56,67 unequal: No Solution Exploring Operation: 56*112=6272, Resulting Numbers: [6272] 6272,67 unequal: No Solution Exploring Operation: 56+112=168, Resulting Numbers: [168] 168,67 unequal: No Solution Moving to Node #0,0,2 Current State: 67:[68, 12], Operations: ['4+64=68', '56-44=12'] Exploring Operation: 68+12=80, Resulting Numbers: [80] 80,67 unequal: No Solution Exploring Operation: 68-12=56, Resulting Numbers: [56] 56,67 unequal: No Solution Exploring Operation: 68*12=816, Resulting Numbers: [816] 816,67 unequal: No Solution Moving to Node #0,0,0 Current State: 67:[44, 12], Operations: ['4+64=68', '68-56=12'] Exploring Operation: 44*12=528, Resulting Numbers: [528] 528,67 unequal: No Solution Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 44+12=56, Resulting Numbers: [56] 56,67 unequal: No Solution No 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: 67:[44, 64, 52], Operations: ['56-4=52'] Exploring Operation: 44+52=96, Resulting Numbers: [64, 96] Generated Node #0,2,0: 67:[64, 96] Operation: 44+52=96 Exploring Operation: 64-44=20, Resulting Numbers: [52, 20] Generated Node #0,2,1: 67:[52, 20] Operation: 64-44=20 Exploring Operation: 52-44=8, Resulting Numbers: [64, 8] Generated Node #0,2,2: 67:[64, 8] Operation: 52-44=8 Exploring Operation: 44+64=108, Resulting Numbers: [52, 108] Generated Node #0,2,3: 67:[52, 108] Operation: 44+64=108 Exploring Operation: 64+52=116, Resulting Numbers: [44, 116] Generated Node #0,2,4: 67:[44, 116] Operation: 64+52=116 Moving to Node #0,2,0 Current State: 67:[64, 96], Operations: ['56-4=52', '44+52=96'] Exploring Operation: 64+96=160, Resulting Numbers: [160] 160,67 unequal: No Solution Exploring Operation: 96-64=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 64*96=6144, Resulting Numbers: [6144] 6144,67 unequal: No Solution Moving to Node #0,2,3 Current State: 67:[52, 108], Operations: ['56-4=52', '44+64=108'] Exploring Operation: 52*108=5616, Resulting Numbers: [5616] 5616,67 unequal: No Solution Exploring Operation: 52+108=160, Resulting Numbers: [160] 160,67 unequal: No Solution Exploring Operation: 108-52=56, Resulting Numbers: [56] 56,67 unequal: No Solution Moving to Node #0,2,1 Current State: 67:[52, 20], Operations: ['56-4=52', '64-44=20'] Exploring Operation: 52-20=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 52*20=1040, Resulting Numbers: [1040] 1040,67 unequal: No Solution Exploring Operation: 52+20=72, Resulting Numbers: [72] 72,67 unequal: No Solution Moving to Node #0,2,2 Current State: 67:[64, 8], Operations: ['56-4=52', '52-44=8'] Exploring Operation: 64+8=72, Resulting Numbers: [72] 72,67 unequal: No Solution Exploring Operation: 64-8=56, Resulting Numbers: [56] 56,67 unequal: No Solution Exploring Operation: 64*8=512, Resulting Numbers: [512] 512,67 unequal: No Solution Exploring Operation: 64/8=8, Resulting Numbers: [8] 8,67 unequal: No Solution Moving to Node #0,2,4 Current State: 67:[44, 116], Operations: ['56-4=52', '64+52=116'] Exploring Operation: 44+116=160, Resulting Numbers: [160] 160,67 unequal: No Solution Exploring Operation: 44*116=5104, Resulting Numbers: [5104] 5104,67 unequal: No Solution Exploring Operation: 116-44=72, Resulting Numbers: [72] 72,67 unequal: No Solution No 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: 67:[56, 64, 40], Operations: ['44-4=40'] Exploring Operation: 56+40=96, Resulting Numbers: [64, 96] Generated Node #0,3,0: 67:[64, 96] Operation: 56+40=96 Exploring Operation: 64+40=104, Resulting Numbers: [56, 104] Generated Node #0,3,1: 67:[56, 104] Operation: 64+40=104 Exploring Operation: 64-40=24, Resulting Numbers: [56, 24] Generated Node #0,3,2: 67:[56, 24] Operation: 64-40=24 Exploring Operation: 56+64=120, Resulting Numbers: [40, 120] Generated Node #0,3,3: 67:[40, 120] Operation: 56+64=120 Exploring Operation: 56-40=16, Resulting Numbers: [64, 16] Generated Node #0,3,4: 67:[64, 16] Operation: 56-40=16 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 67:[64, 96], Operations: ['44-4=40', '56+40=96'] Exploring Operation: 64+96=160, Resulting Numbers: [160] 160,67 unequal: No Solution Exploring Operation: 64*96=6144, Resulting Numbers: [6144] 6144,67 unequal: No Solution Exploring Operation: 96-64=32, Resulting Numbers: [32] 32,67 unequal: No Solution No 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: 67:[56, 104], Operations: ['44-4=40', '64+40=104'] Exploring Operation: 104-56=48, Resulting Numbers: [48] 48,67 unequal: No Solution Exploring Operation: 56*104=5824, Resulting Numbers: [5824] 5824,67 unequal: No Solution Exploring Operation: 56+104=160, Resulting Numbers: [160] 160,67 unequal: No Solution No 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: 67:[56, 24], Operations: ['44-4=40', '64-40=24'] Exploring Operation: 56+24=80, Resulting Numbers: [80] 80,67 unequal: No Solution Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,67 unequal: No Solution Exploring Operation: 56*24=1344, Resulting Numbers: [1344] 1344,67 unequal: No Solution No 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: 67:[64, 16], Operations: ['44-4=40', '56-40=16'] Exploring Operation: 64*16=1024, Resulting Numbers: [1024] 1024,67 unequal: No Solution Exploring Operation: 64/16=4, Resulting Numbers: [4] 4,67 unequal: No Solution Exploring Operation: 64-16=48, Resulting Numbers: [48] 48,67 unequal: No Solution Exploring Operation: 64+16=80, Resulting Numbers: [80] 80,67 unequal: No Solution No 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: 67:[40, 120], Operations: ['44-4=40', '56+64=120'] Exploring Operation: 120/40=3, Resulting Numbers: [3] 3,67 unequal: No Solution Exploring Operation: 40*120=4800, Resulting Numbers: [4800] 4800,67 unequal: No Solution Exploring Operation: 120-40=80, Resulting Numbers: [80] 80,67 unequal: No Solution Exploring Operation: 40+120=160, Resulting Numbers: [160] 160,67 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
[ 21, 97, 21, 15 ]
81
[ "21/21=1", "97-15=82", "82-1=81" ]
Current State: 81:[21, 97, 21, 15], Operations: [] Exploring Operation: 21/21=1, Resulting Numbers: [97, 15, 1] Generated Node #2: [97, 15, 1] from Operation: 21/21=1 Current State: 81:[97, 15, 1], Operations: ['21/21=1'] Exploring Operation: 97-15=82, Resulting Numbers: [1, 82] Generated Node #3: [1, 82] from Operation: 97-15=82 Current State: 81:[1, 82], Operations: ['21/21=1', '97-15=82'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[21, 97, 21, 15], Operations: [] Exploring Operation: 97-21=76, Resulting Numbers: [21, 15, 76] Generated Node #0,0: 81:[21, 15, 76] Operation: 97-21=76 Exploring Operation: 97-15=82, Resulting Numbers: [21, 21, 82] Generated Node #0,1: 81:[21, 21, 82] Operation: 97-15=82 Exploring Operation: 97-21=76, Resulting Numbers: [21, 15, 76] Generated Node #0,2: 81:[21, 15, 76] Operation: 97-21=76 Start Sub Search at level 1: Moving to Node #0,1 Current State: 81:[21, 21, 82], Operations: ['97-15=82'] Exploring Operation: 21/21=1, Resulting Numbers: [82, 1] Generated Node #0,1,0: 81:[82, 1] Operation: 21/21=1 Exploring Operation: 21+21=42, Resulting Numbers: [82, 42] Generated Node #0,1,1: 81:[82, 42] Operation: 21+21=42 Exploring Operation: 21-21=0, Resulting Numbers: [82, 0] Generated Node #0,1,2: 81:[82, 0] Operation: 21-21=0 Moving to Node #0,1,0 Current State: 81:[82, 1], Operations: ['97-15=82', '21/21=1'] Exploring Operation: 82/1=82, Resulting Numbers: [82] 82,81 unequal: No Solution Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,81 unequal: No Solution Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[21, 97, 21, 15], Operations: [] Exploring Operation: 97-15=82, Resulting Numbers: [21, 21, 82] Generated Node #0,1: 81:[21, 21, 82] Operation: 97-15=82 Moving to Node #0,1 Current State: 81:[21, 21, 82], Operations: ['97-15=82'] Exploring Operation: 21/21=1, Resulting Numbers: [82, 1] Generated Node #0,1,0: 81:[82, 1] Operation: 21/21=1 Moving to Node #0,1,0 Current State: 81:[82, 1], Operations: ['97-15=82', '21/21=1'] Exploring Operation: 82-1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_3
mult_heuristic
[ 74, 7, 38, 32 ]
75
[ "74+7=81", "38-32=6", "81-6=75" ]
Current State: 75:[74, 7, 38, 32], Operations: [] Exploring Operation: 74+7=81, Resulting Numbers: [38, 32, 81] Generated Node #2: [38, 32, 81] from Operation: 74+7=81 Current State: 75:[38, 32, 81], Operations: ['74+7=81'] Exploring Operation: 38-32=6, Resulting Numbers: [81, 6] Generated Node #3: [81, 6] from Operation: 38-32=6 Current State: 75:[81, 6], Operations: ['74+7=81', '38-32=6'] Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[74, 7, 38, 32], Operations: [] Exploring Operation: 38-32=6, Resulting Numbers: [74, 7, 6] Generated Node #0,0: 75:[74, 7, 6] Operation: 38-32=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[74, 7, 6], Operations: ['38-32=6'] Exploring Operation: 7+6=13, Resulting Numbers: [74, 13] Generated Node #0,0,0: 75:[74, 13] Operation: 7+6=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[74, 13], Operations: ['38-32=6', '7+6=13'] Exploring Operation: 74+13=87, Resulting Numbers: [87] 87,75 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_1
mult_heuristic
[ 48, 50, 67, 19 ]
43
[ "50-48=2", "67+19=86", "86/2=43" ]
Current State: 43:[48, 50, 67, 19], Operations: [] Exploring Operation: 50-48=2, Resulting Numbers: [67, 19, 2] Generated Node #2: [67, 19, 2] from Operation: 50-48=2 Current State: 43:[67, 19, 2], Operations: ['50-48=2'] Exploring Operation: 67+19=86, Resulting Numbers: [2, 86] Generated Node #3: [2, 86] from Operation: 67+19=86 Current State: 43:[2, 86], Operations: ['50-48=2', '67+19=86'] Exploring Operation: 86/2=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[48, 50, 67, 19], Operations: [] Exploring Operation: 50-19=31, Resulting Numbers: [48, 67, 31] Generated Node #0,0: 43:[48, 67, 31] Operation: 50-19=31 Exploring Operation: 67-19=48, Resulting Numbers: [48, 50, 48] Generated Node #0,1: 43:[48, 50, 48] Operation: 67-19=48 Moving to Node #0,1 Current State: 43:[48, 50, 48], Operations: ['67-19=48'] Exploring Operation: 50-48=2, Resulting Numbers: [48, 2] Generated Node #0,1,0: 43:[48, 2] Operation: 50-48=2 Exploring Operation: 50-48=2, Resulting Numbers: [48, 2] Generated Node #0,1,1: 43:[48, 2] Operation: 50-48=2 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 43:[48, 2], Operations: ['67-19=48', '50-48=2'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,43 unequal: No Solution Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 43:[48, 2], Operations: ['67-19=48', '50-48=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,43 unequal: No Solution Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,43 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: 43:[48, 67, 31], Operations: ['50-19=31'] Exploring Operation: 67-31=36, Resulting Numbers: [48, 36] Generated Node #0,0,0: 43:[48, 36] Operation: 67-31=36 Exploring Operation: 67-48=19, Resulting Numbers: [31, 19] Generated Node #0,0,1: 43:[31, 19] Operation: 67-48=19 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 43:[48, 36], Operations: ['50-19=31', '67-31=36'] Exploring Operation: 48-36=12, Resulting Numbers: [12] 12,43 unequal: No Solution Exploring Operation: 48+36=84, Resulting Numbers: [84] 84,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 43:[31, 19], Operations: ['50-19=31', '67-48=19'] Exploring Operation: 31-19=12, Resulting Numbers: [12] 12,43 unequal: No Solution Exploring Operation: 31+19=50, Resulting Numbers: [50] 50,43 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
[ 72, 2, 2, 13 ]
10
[ "72/2=36", "2*13=26", "36-26=10" ]
Current State: 10:[72, 2, 2, 13], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [13, 36] Generated Node #2: [13, 36] from Operation: 72/2=36 Current State: 10:[13, 36], Operations: ['72/2=36'] Exploring Operation: 2*13=26, Resulting Numbers: [36, 26] Generated Node #3: [36, 26] from Operation: 2*13=26 Current State: 10:[36, 26], Operations: ['72/2=36', '2*13=26'] Exploring Operation: 36-26=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[72, 2, 2, 13], Operations: [] Exploring Operation: 72/2=36, Resulting Numbers: [2, 13, 36] Generated Node #0,0: 10:[2, 13, 36] Operation: 72/2=36 Moving to Node #0,0 Current State: 10:[2, 13, 36], Operations: ['72/2=36'] Exploring Operation: 36/2=18, Resulting Numbers: [13, 18] Generated Node #0,0,0: 10:[13, 18] Operation: 36/2=18 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 10:[13, 18], Operations: ['72/2=36', '36/2=18'] Exploring Operation: 18-13=5, Resulting Numbers: [5] 5,10 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
[ 8, 98, 69, 96 ]
79
[ "8+98=106", "96-69=27", "106-27=79" ]
Current State: 79:[8, 98, 69, 96], Operations: [] Exploring Operation: 8+98=106, Resulting Numbers: [69, 96, 106] Generated Node #2: [69, 96, 106] from Operation: 8+98=106 Current State: 79:[69, 96, 106], Operations: ['8+98=106'] Exploring Operation: 96-69=27, Resulting Numbers: [106, 27] Generated Node #3: [106, 27] from Operation: 96-69=27 Current State: 79:[106, 27], Operations: ['8+98=106', '96-69=27'] Exploring Operation: 106-27=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[8, 98, 69, 96], Operations: [] Exploring Operation: 98-8=90, Resulting Numbers: [69, 96, 90] Generated Node #0,0: 79:[69, 96, 90] Operation: 98-8=90 Exploring Operation: 8+69=77, Resulting Numbers: [98, 96, 77] Generated Node #0,1: 79:[98, 96, 77] Operation: 8+69=77 Exploring Operation: 8+98=106, Resulting Numbers: [69, 96, 106] Generated Node #0,2: 79:[69, 96, 106] Operation: 8+98=106 Exploring Operation: 96-8=88, Resulting Numbers: [98, 69, 88] Generated Node #0,3: 79:[98, 69, 88] Operation: 96-8=88 Moving to Node #0,0 Current State: 79:[69, 96, 90], Operations: ['98-8=90'] Exploring Operation: 69+96=165, Resulting Numbers: [90, 165] Generated Node #0,0,0: 79:[90, 165] Operation: 69+96=165 Exploring Operation: 90-69=21, Resulting Numbers: [96, 21] Generated Node #0,0,1: 79:[96, 21] Operation: 90-69=21 Exploring Operation: 96-90=6, Resulting Numbers: [69, 6] Generated Node #0,0,2: 79:[69, 6] Operation: 96-90=6 Exploring Operation: 96-69=27, Resulting Numbers: [90, 27] Generated Node #0,0,3: 79:[90, 27] Operation: 96-69=27 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 79:[90, 27], Operations: ['98-8=90', '96-69=27'] Exploring Operation: 90-27=63, Resulting Numbers: [63] 63,79 unequal: No Solution Exploring Operation: 90+27=117, Resulting Numbers: [117] 117,79 unequal: No Solution Exploring Operation: 90*27=2430, Resulting Numbers: [2430] 2430,79 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 #0,0,1 Current State: 79:[96, 21], Operations: ['98-8=90', '90-69=21'] Exploring Operation: 96+21=117, Resulting Numbers: [117] 117,79 unequal: No Solution Exploring Operation: 96*21=2016, Resulting Numbers: [2016] 2016,79 unequal: No Solution Exploring Operation: 96-21=75, Resulting Numbers: [75] 75,79 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 #0,0,2 Current State: 79:[69, 6], Operations: ['98-8=90', '96-90=6'] Exploring Operation: 69*6=414, Resulting Numbers: [414] 414,79 unequal: No Solution Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,79 unequal: No Solution Exploring Operation: 69+6=75, Resulting Numbers: [75] 75,79 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 #0,0,0 Current State: 79:[90, 165], Operations: ['98-8=90', '69+96=165'] Exploring Operation: 90+165=255, Resulting Numbers: [255] 255,79 unequal: No Solution Exploring Operation: 90*165=14850, Resulting Numbers: [14850] 14850,79 unequal: No Solution Exploring Operation: 165-90=75, Resulting Numbers: [75] 75,79 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: 79:[98, 69, 88], Operations: ['96-8=88'] Exploring Operation: 98-88=10, Resulting Numbers: [69, 10] Generated Node #0,3,0: 79:[69, 10] Operation: 98-88=10 Exploring Operation: 98-69=29, Resulting Numbers: [88, 29] Generated Node #0,3,1: 79:[88, 29] Operation: 98-69=29 Exploring Operation: 98+69=167, Resulting Numbers: [88, 167] Generated Node #0,3,2: 79:[88, 167] Operation: 98+69=167 Exploring Operation: 88-69=19, Resulting Numbers: [98, 19] Generated Node #0,3,3: 79:[98, 19] Operation: 88-69=19 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 79:[88, 29], Operations: ['96-8=88', '98-69=29'] Exploring Operation: 88+29=117, Resulting Numbers: [117] 117,79 unequal: No Solution Exploring Operation: 88*29=2552, Resulting Numbers: [2552] 2552,79 unequal: No Solution Exploring Operation: 88-29=59, Resulting Numbers: [59] 59,79 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:[69, 10], Operations: ['96-8=88', '98-88=10'] Exploring Operation: 69*10=690, Resulting Numbers: [690] 690,79 unequal: No Solution Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Moving to Node #0 Current State: 79:[8, 98, 69, 96], Operations: [] Exploring Operation: 96-8=88, Resulting Numbers: [98, 69, 88] Generated Node #0,3: 79:[98, 69, 88] Operation: 96-8=88 Moving to Node #0,3 Current State: 79:[98, 69, 88], Operations: ['96-8=88'] Exploring Operation: 98-88=10, Resulting Numbers: [69, 10] Generated Node #0,3,0: 79:[69, 10] Operation: 98-88=10 Moving to Node #0,3,0 Current State: 79:[69, 10], Operations: ['96-8=88', '98-88=10'] Exploring Operation: 69+10=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Exit Sub Search at level 1
0.971354
hs_4
mult_heuristic
[ 26, 64, 11, 24 ]
34
[ "64+24=88", "88/11=8", "26+8=34" ]
Current State: 34:[26, 64, 11, 24], Operations: [] Exploring Operation: 64+24=88, Resulting Numbers: [26, 11, 88] Generated Node #2: [26, 11, 88] from Operation: 64+24=88 Current State: 34:[26, 11, 88], Operations: ['64+24=88'] Exploring Operation: 88/11=8, Resulting Numbers: [26, 8] Generated Node #3: [26, 8] from Operation: 88/11=8 Current State: 34:[26, 8], Operations: ['64+24=88', '88/11=8'] Exploring Operation: 26+8=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[26, 64, 11, 24], Operations: [] Exploring Operation: 64-24=40, Resulting Numbers: [26, 11, 40] Generated Node #0,0: 34:[26, 11, 40] Operation: 64-24=40 Exploring Operation: 64-11=53, Resulting Numbers: [26, 24, 53] Generated Node #0,1: 34:[26, 24, 53] Operation: 64-11=53 Exploring Operation: 26-24=2, Resulting Numbers: [64, 11, 2] Generated Node #0,2: 34:[64, 11, 2] Operation: 26-24=2 Exploring Operation: 26-11=15, Resulting Numbers: [64, 24, 15] Generated Node #0,3: 34:[64, 24, 15] Operation: 26-11=15 Exploring Operation: 64-26=38, Resulting Numbers: [11, 24, 38] Generated Node #0,4: 34:[11, 24, 38] Operation: 64-26=38 Start Sub Search at level 1: Moving to Node #0,4 Current State: 34:[11, 24, 38], Operations: ['64-26=38'] Exploring Operation: 38-24=14, Resulting Numbers: [11, 14] Generated Node #0,4,0: 34:[11, 14] Operation: 38-24=14 Exploring Operation: 11+24=35, Resulting Numbers: [38, 35] Generated Node #0,4,1: 34:[38, 35] Operation: 11+24=35 Exploring Operation: 24-11=13, Resulting Numbers: [38, 13] Generated Node #0,4,2: 34:[38, 13] Operation: 24-11=13 Exploring Operation: 38-11=27, Resulting Numbers: [24, 27] Generated Node #0,4,3: 34:[24, 27] Operation: 38-11=27 Exploring Operation: 11+38=49, Resulting Numbers: [24, 49] Generated Node #0,4,4: 34:[24, 49] Operation: 11+38=49 Moving to Node #0,4,1 Current State: 34:[38, 35], Operations: ['64-26=38', '11+24=35'] Exploring Operation: 38*35=1330, Resulting Numbers: [1330] 1330,34 unequal: No Solution Exploring Operation: 38+35=73, Resulting Numbers: [73] 73,34 unequal: No Solution Exploring Operation: 38-35=3, Resulting Numbers: [3] 3,34 unequal: No Solution Moving to Node #0,4,2 Current State: 34:[38, 13], Operations: ['64-26=38', '24-11=13'] Exploring Operation: 38+13=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 38*13=494, Resulting Numbers: [494] 494,34 unequal: No Solution Moving to Node #0,4,0 Current State: 34:[11, 14], Operations: ['64-26=38', '38-24=14'] Exploring Operation: 11*14=154, Resulting Numbers: [154] 154,34 unequal: No Solution Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,34 unequal: No Solution Moving to Node #0,4,3 Current State: 34:[24, 27], Operations: ['64-26=38', '38-11=27'] Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 24*27=648, Resulting Numbers: [648] 648,34 unequal: No Solution Exploring Operation: 24+27=51, Resulting Numbers: [51] 51,34 unequal: No Solution Moving to Node #0,4,4 Current State: 34:[24, 49], Operations: ['64-26=38', '11+38=49'] Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,34 unequal: No Solution Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 24*49=1176, Resulting Numbers: [1176] 1176,34 unequal: No Solution No 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: 34:[26, 11, 40], Operations: ['64-24=40'] Exploring Operation: 40-26=14, Resulting Numbers: [11, 14] Generated Node #0,0,0: 34:[11, 14] Operation: 40-26=14 Exploring Operation: 26-11=15, Resulting Numbers: [40, 15] Generated Node #0,0,1: 34:[40, 15] Operation: 26-11=15 Exploring Operation: 40-11=29, Resulting Numbers: [26, 29] Generated Node #0,0,2: 34:[26, 29] Operation: 40-11=29 Exploring Operation: 11+40=51, Resulting Numbers: [26, 51] Generated Node #0,0,3: 34:[26, 51] Operation: 11+40=51 Exploring Operation: 26+11=37, Resulting Numbers: [40, 37] Generated Node #0,0,4: 34:[40, 37] Operation: 26+11=37 Moving to Node #0,0,1 Current State: 34:[40, 15], Operations: ['64-24=40', '26-11=15'] Exploring Operation: 40*15=600, Resulting Numbers: [600] 600,34 unequal: No Solution Exploring Operation: 40+15=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,34 unequal: No Solution Moving to Node #0,0,4 Current State: 34:[40, 37], Operations: ['64-24=40', '26+11=37'] Exploring Operation: 40-37=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 40+37=77, Resulting Numbers: [77] 77,34 unequal: No Solution Exploring Operation: 40*37=1480, Resulting Numbers: [1480] 1480,34 unequal: No Solution Moving to Node #0,0,0 Current State: 34:[11, 14], Operations: ['64-24=40', '40-26=14'] Exploring Operation: 11*14=154, Resulting Numbers: [154] 154,34 unequal: No Solution Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 14-11=3, Resulting Numbers: [3] 3,34 unequal: No Solution Moving to Node #0,0,2 Current State: 34:[26, 29], Operations: ['64-24=40', '40-11=29'] Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 29-26=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 26*29=754, Resulting Numbers: [754] 754,34 unequal: No Solution Moving to Node #0,0,3 Current State: 34:[26, 51], Operations: ['64-24=40', '11+40=51'] Exploring Operation: 26*51=1326, Resulting Numbers: [1326] 1326,34 unequal: No Solution Exploring Operation: 26+51=77, Resulting Numbers: [77] 77,34 unequal: No Solution Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,34 unequal: No Solution No 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: 34:[26, 24, 53], Operations: ['64-11=53'] Exploring Operation: 26-24=2, Resulting Numbers: [53, 2] Generated Node #0,1,0: 34:[53, 2] Operation: 26-24=2 Exploring Operation: 26+24=50, Resulting Numbers: [53, 50] Generated Node #0,1,1: 34:[53, 50] Operation: 26+24=50 Exploring Operation: 53-26=27, Resulting Numbers: [24, 27] Generated Node #0,1,2: 34:[24, 27] Operation: 53-26=27 Exploring Operation: 24+53=77, Resulting Numbers: [26, 77] Generated Node #0,1,3: 34:[26, 77] Operation: 24+53=77 Exploring Operation: 53-24=29, Resulting Numbers: [26, 29] Generated Node #0,1,4: 34:[26, 29] Operation: 53-24=29 Moving to Node #0,1,4 Current State: 34:[26, 29], Operations: ['64-11=53', '53-24=29'] Exploring Operation: 29-26=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 26*29=754, Resulting Numbers: [754] 754,34 unequal: No Solution Exploring Operation: 26+29=55, Resulting Numbers: [55] 55,34 unequal: No Solution Moving to Node #0,1,2 Current State: 34:[24, 27], Operations: ['64-11=53', '53-26=27'] Exploring Operation: 27-24=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 24+27=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 24*27=648, Resulting Numbers: [648] 648,34 unequal: No Solution Moving to Node #0,1,0 Current State: 34:[53, 2], Operations: ['64-11=53', '26-24=2'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 53*2=106, Resulting Numbers: [106] 106,34 unequal: No Solution Exploring Operation: 53+2=55, Resulting Numbers: [55] 55,34 unequal: No Solution Moving to Node #0,1,1 Current State: 34:[53, 50], Operations: ['64-11=53', '26+24=50'] Exploring Operation: 53*50=2650, Resulting Numbers: [2650] 2650,34 unequal: No Solution Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,34 unequal: No Solution Exploring Operation: 53+50=103, Resulting Numbers: [103] 103,34 unequal: No Solution Moving to Node #0,1,3 Current State: 34:[26, 77], Operations: ['64-11=53', '24+53=77'] Exploring Operation: 77-26=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 26*77=2002, Resulting Numbers: [2002] 2002,34 unequal: No Solution Exploring Operation: 26+77=103, Resulting Numbers: [103] 103,34 unequal: No Solution No 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: 34:[64, 11, 2], Operations: ['26-24=2'] Exploring Operation: 64-2=62, Resulting Numbers: [11, 62] Generated Node #0,2,0: 34:[11, 62] Operation: 64-2=62 Exploring Operation: 64-11=53, Resulting Numbers: [2, 53] Generated Node #0,2,1: 34:[2, 53] Operation: 64-11=53 Exploring Operation: 11*2=22, Resulting Numbers: [64, 22] Generated Node #0,2,2: 34:[64, 22] Operation: 11*2=22 Exploring Operation: 11+2=13, Resulting Numbers: [64, 13] Generated Node #0,2,3: 34:[64, 13] Operation: 11+2=13 Exploring Operation: 64/2=32, Resulting Numbers: [11, 32] Generated Node #0,2,4: 34:[11, 32] Operation: 64/2=32 Moving to Node #0,2,4 Current State: 34:[11, 32], Operations: ['26-24=2', '64/2=32'] Exploring Operation: 11+32=43, Resulting Numbers: [43] 43,34 unequal: No Solution Exploring Operation: 11*32=352, Resulting Numbers: [352] 352,34 unequal: No Solution Exploring Operation: 32-11=21, Resulting Numbers: [21] 21,34 unequal: No Solution Moving to Node #0,2,1 Current State: 34:[2, 53], Operations: ['26-24=2', '64-11=53'] Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 2+53=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 2*53=106, Resulting Numbers: [106] 106,34 unequal: No Solution Moving to Node #0,2,0 Current State: 34:[11, 62], Operations: ['26-24=2', '64-2=62'] Exploring Operation: 11*62=682, Resulting Numbers: [682] 682,34 unequal: No Solution Exploring Operation: 11+62=73, Resulting Numbers: [73] 73,34 unequal: No Solution Exploring Operation: 62-11=51, Resulting Numbers: [51] 51,34 unequal: No Solution Moving to Node #0,2,3 Current State: 34:[64, 13], Operations: ['26-24=2', '11+2=13'] Exploring Operation: 64+13=77, Resulting Numbers: [77] 77,34 unequal: No Solution Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,34 unequal: No Solution Exploring Operation: 64*13=832, Resulting Numbers: [832] 832,34 unequal: No Solution Moving to Node #0,2,2 Current State: 34:[64, 22], Operations: ['26-24=2', '11*2=22'] Exploring Operation: 64+22=86, Resulting Numbers: [86] 86,34 unequal: No Solution Exploring Operation: 64*22=1408, Resulting Numbers: [1408] 1408,34 unequal: No Solution Exploring Operation: 64-22=42, Resulting Numbers: [42] 42,34 unequal: No Solution No 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: 34:[64, 24, 15], Operations: ['26-11=15'] Exploring Operation: 64-24=40, Resulting Numbers: [15, 40] Generated Node #0,3,0: 34:[15, 40] Operation: 64-24=40 Exploring Operation: 64+15=79, Resulting Numbers: [24, 79] Generated Node #0,3,1: 34:[24, 79] Operation: 64+15=79 Exploring Operation: 24-15=9, Resulting Numbers: [64, 9] Generated Node #0,3,2: 34:[64, 9] Operation: 24-15=9 Exploring Operation: 24+15=39, Resulting Numbers: [64, 39] Generated Node #0,3,3: 34:[64, 39] Operation: 24+15=39 Exploring Operation: 64-15=49, Resulting Numbers: [24, 49] Generated Node #0,3,4: 34:[24, 49] Operation: 64-15=49 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 34:[15, 40], Operations: ['26-11=15', '64-24=40'] Exploring Operation: 40-15=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 15*40=600, Resulting Numbers: [600] 600,34 unequal: No Solution Exploring Operation: 15+40=55, Resulting Numbers: [55] 55,34 unequal: No Solution No 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: 34:[24, 49], Operations: ['26-11=15', '64-15=49'] Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,34 unequal: No Solution Exploring Operation: 24+49=73, Resulting Numbers: [73] 73,34 unequal: No Solution Exploring Operation: 24*49=1176, Resulting Numbers: [1176] 1176,34 unequal: No Solution No 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: 34:[64, 39], Operations: ['26-11=15', '24+15=39'] Exploring Operation: 64+39=103, Resulting Numbers: [103] 103,34 unequal: No Solution Exploring Operation: 64*39=2496, Resulting Numbers: [2496] 2496,34 unequal: No Solution Exploring Operation: 64-39=25, Resulting Numbers: [25] 25,34 unequal: No Solution No 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: 34:[64, 9], Operations: ['26-11=15', '24-15=9'] Exploring Operation: 64*9=576, Resulting Numbers: [576] 576,34 unequal: No Solution Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 64+9=73, Resulting Numbers: [73] 73,34 unequal: No Solution No 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: 34:[24, 79], Operations: ['26-11=15', '64+15=79'] Exploring Operation: 79-24=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 24+79=103, Resulting Numbers: [103] 103,34 unequal: No Solution Exploring Operation: 24*79=1896, Resulting Numbers: [1896] 1896,34 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
[ 24, 71, 60, 5 ]
83
[ "24+71=95", "60/5=12", "95-12=83" ]
Current State: 83:[24, 71, 60, 5], Operations: [] Exploring Operation: 24+71=95, Resulting Numbers: [60, 5, 95] Generated Node #2: [60, 5, 95] from Operation: 24+71=95 Current State: 83:[60, 5, 95], Operations: ['24+71=95'] Exploring Operation: 60/5=12, Resulting Numbers: [95, 12] Generated Node #3: [95, 12] from Operation: 60/5=12 Current State: 83:[95, 12], Operations: ['24+71=95', '60/5=12'] Exploring Operation: 95-12=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
Current State: 83:[24, 71, 60, 5], Operations: [] Exploring Operation: 60+5=65, Resulting Numbers: [24, 71, 65] Generated Node #0,0: 83:[24, 71, 65] Operation: 60+5=65 Exploring Operation: 24*5=120, Resulting Numbers: [71, 60, 120] Generated Node #0,1: 83:[71, 60, 120] Operation: 24*5=120 Exploring Operation: 24+5=29, Resulting Numbers: [71, 60, 29] Generated Node #0,2: 83:[71, 60, 29] Operation: 24+5=29 Exploring Operation: 71+5=76, Resulting Numbers: [24, 60, 76] Generated Node #0,3: 83:[24, 60, 76] Operation: 71+5=76 Start Sub Search at level 1: Moving to Node #0,1 Current State: 83:[71, 60, 120], Operations: ['24*5=120'] Exploring Operation: 120/60=2, Resulting Numbers: [71, 2] Generated Node #0,1,0: 83:[71, 2] Operation: 120/60=2 Exploring Operation: 120-71=49, Resulting Numbers: [60, 49] Generated Node #0,1,1: 83:[60, 49] Operation: 120-71=49 Exploring Operation: 120-60=60, Resulting Numbers: [71, 60] Generated Node #0,1,2: 83:[71, 60] Operation: 120-60=60 Exploring Operation: 71+60=131, Resulting Numbers: [120, 131] Generated Node #0,1,3: 83:[120, 131] Operation: 71+60=131 Moving to Node #0,1,2 Current State: 83:[71, 60], Operations: ['24*5=120', '120-60=60'] Exploring Operation: 71-60=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 71+60=131, Resulting Numbers: [131] 131,83 unequal: No Solution Exploring Operation: 71*60=4260, Resulting Numbers: [4260] 4260,83 unequal: No Solution Moving to Node #0,1,1 Current State: 83:[60, 49], Operations: ['24*5=120', '120-71=49'] Exploring Operation: 60*49=2940, Resulting Numbers: [2940] 2940,83 unequal: No Solution Exploring Operation: 60+49=109, Resulting Numbers: [109] 109,83 unequal: No Solution Exploring Operation: 60-49=11, Resulting Numbers: [11] 11,83 unequal: No Solution Moving to Node #0,1,3 Current State: 83:[120, 131], Operations: ['24*5=120', '71+60=131'] Exploring Operation: 131-120=11, Resulting Numbers: [11] 11,83 unequal: No Solution Exploring Operation: 120+131=251, Resulting Numbers: [251] 251,83 unequal: No Solution Exploring Operation: 120*131=15720, Resulting Numbers: [15720] 15720,83 unequal: No Solution Moving to Node #0,1,0 Current State: 83:[71, 2], Operations: ['24*5=120', '120/60=2'] Exploring Operation: 71+2=73, Resulting Numbers: [73] 73,83 unequal: No Solution Exploring Operation: 71-2=69, Resulting Numbers: [69] 69,83 unequal: No Solution Exploring Operation: 71*2=142, Resulting Numbers: [142] 142,83 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 83:[24, 71, 65], Operations: ['60+5=65'] Exploring Operation: 24+65=89, Resulting Numbers: [71, 89] Generated Node #0,0,0: 83:[71, 89] Operation: 24+65=89 Exploring Operation: 24+71=95, Resulting Numbers: [65, 95] Generated Node #0,0,1: 83:[65, 95] Operation: 24+71=95 Exploring Operation: 65-24=41, Resulting Numbers: [71, 41] Generated Node #0,0,2: 83:[71, 41] Operation: 65-24=41 Exploring Operation: 71-24=47, Resulting Numbers: [65, 47] Generated Node #0,0,3: 83:[65, 47] Operation: 71-24=47 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 83:[71, 89], Operations: ['60+5=65', '24+65=89'] Exploring Operation: 71*89=6319, Resulting Numbers: [6319] 6319,83 unequal: No Solution Exploring Operation: 89-71=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 71+89=160, Resulting Numbers: [160] 160,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 83:[65, 95], Operations: ['60+5=65', '24+71=95'] Exploring Operation: 65*95=6175, Resulting Numbers: [6175] 6175,83 unequal: No Solution Exploring Operation: 95-65=30, Resulting Numbers: [30] 30,83 unequal: No Solution Exploring Operation: 65+95=160, Resulting Numbers: [160] 160,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 83:[71, 41], Operations: ['60+5=65', '65-24=41'] Exploring Operation: 71-41=30, Resulting Numbers: [30] 30,83 unequal: No Solution Exploring Operation: 71*41=2911, Resulting Numbers: [2911] 2911,83 unequal: No Solution Exploring Operation: 71+41=112, Resulting Numbers: [112] 112,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 83:[65, 47], Operations: ['60+5=65', '71-24=47'] Exploring Operation: 65*47=3055, Resulting Numbers: [3055] 3055,83 unequal: No Solution Exploring Operation: 65-47=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 65+47=112, Resulting Numbers: [112] 112,83 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 83:[71, 60, 29], Operations: ['24+5=29'] Exploring Operation: 60-29=31, Resulting Numbers: [71, 31] Generated Node #0,2,0: 83:[71, 31] Operation: 60-29=31 Exploring Operation: 60+29=89, Resulting Numbers: [71, 89] Generated Node #0,2,1: 83:[71, 89] Operation: 60+29=89 Exploring Operation: 71+29=100, Resulting Numbers: [60, 100] Generated Node #0,2,2: 83:[60, 100] Operation: 71+29=100 Exploring Operation: 71-29=42, Resulting Numbers: [60, 42] Generated Node #0,2,3: 83:[60, 42] Operation: 71-29=42 Moving to Node #0,2,1 Current State: 83:[71, 89], Operations: ['24+5=29', '60+29=89'] Exploring Operation: 71*89=6319, Resulting Numbers: [6319] 6319,83 unequal: No Solution Exploring Operation: 89-71=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 71+89=160, Resulting Numbers: [160] 160,83 unequal: No Solution Moving to Node #0,2,2 Current State: 83:[60, 100], Operations: ['24+5=29', '71+29=100'] Exploring Operation: 60*100=6000, Resulting Numbers: [6000] 6000,83 unequal: No Solution Exploring Operation: 60+100=160, Resulting Numbers: [160] 160,83 unequal: No Solution Exploring Operation: 100-60=40, Resulting Numbers: [40] 40,83 unequal: No Solution Moving to Node #0,2,3 Current State: 83:[60, 42], Operations: ['24+5=29', '71-29=42'] Exploring Operation: 60*42=2520, Resulting Numbers: [2520] 2520,83 unequal: No Solution Exploring Operation: 60-42=18, Resulting Numbers: [18] 18,83 unequal: No Solution Exploring Operation: 60+42=102, Resulting Numbers: [102] 102,83 unequal: No Solution Moving to Node #0,2,0 Current State: 83:[71, 31], Operations: ['24+5=29', '60-29=31'] Exploring Operation: 71*31=2201, Resulting Numbers: [2201] 2201,83 unequal: No Solution Exploring Operation: 71-31=40, Resulting Numbers: [40] 40,83 unequal: No Solution Exploring Operation: 71+31=102, Resulting Numbers: [102] 102,83 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 #0,3 Current State: 83:[24, 60, 76], Operations: ['71+5=76'] Exploring Operation: 60-24=36, Resulting Numbers: [76, 36] Generated Node #0,3,0: 83:[76, 36] Operation: 60-24=36 Exploring Operation: 76-24=52, Resulting Numbers: [60, 52] Generated Node #0,3,1: 83:[60, 52] Operation: 76-24=52 Exploring Operation: 24+76=100, Resulting Numbers: [60, 100] Generated Node #0,3,2: 83:[60, 100] Operation: 24+76=100 Exploring Operation: 24+60=84, Resulting Numbers: [76, 84] Generated Node #0,3,3: 83:[76, 84] Operation: 24+60=84 Moving to Node #0,3,3 Current State: 83:[76, 84], Operations: ['71+5=76', '24+60=84'] Exploring Operation: 76+84=160, Resulting Numbers: [160] 160,83 unequal: No Solution Exploring Operation: 76*84=6384, Resulting Numbers: [6384] 6384,83 unequal: No Solution Exploring Operation: 84-76=8, Resulting Numbers: [8] 8,83 unequal: No Solution Moving to Node #0,3,2 Current State: 83:[60, 100], Operations: ['71+5=76', '24+76=100'] Exploring Operation: 60*100=6000, Resulting Numbers: [6000] 6000,83 unequal: No Solution Exploring Operation: 100-60=40, Resulting Numbers: [40] 40,83 unequal: No Solution Exploring Operation: 60+100=160, Resulting Numbers: [160] 160,83 unequal: No Solution Moving to Node #0,3,1 Current State: 83:[60, 52], Operations: ['71+5=76', '76-24=52'] Exploring Operation: 60-52=8, Resulting Numbers: [8] 8,83 unequal: No Solution Exploring Operation: 60+52=112, Resulting Numbers: [112] 112,83 unequal: No Solution Exploring Operation: 60*52=3120, Resulting Numbers: [3120] 3120,83 unequal: No Solution Moving to Node #0,3,0 Current State: 83:[76, 36], Operations: ['71+5=76', '60-24=36'] Exploring Operation: 76*36=2736, Resulting Numbers: [2736] 2736,83 unequal: No Solution Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,83 unequal: No Solution Exploring Operation: 76+36=112, Resulting Numbers: [112] 112,83 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
[ 36, 81, 84, 28 ]
69
[ "36*28=1008", "1008/84=12", "81-12=69" ]
Current State: 69:[36, 81, 84, 28], Operations: [] Exploring Operation: 36*28=1008, Resulting Numbers: [81, 84, 1008] Generated Node #2: [81, 84, 1008] from Operation: 36*28=1008 Current State: 69:[81, 84, 1008], Operations: ['36*28=1008'] Exploring Operation: 1008/84=12, Resulting Numbers: [81, 12] Generated Node #3: [81, 12] from Operation: 1008/84=12 Current State: 69:[81, 12], Operations: ['36*28=1008', '1008/84=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[36, 81, 84, 28], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [36, 28, 3] Generated Node #0,0: 69:[36, 28, 3] Operation: 84-81=3 Exploring Operation: 36+28=64, Resulting Numbers: [81, 84, 64] Generated Node #0,1: 69:[81, 84, 64] Operation: 36+28=64 Exploring Operation: 84/28=3, Resulting Numbers: [36, 81, 3] Generated Node #0,2: 69:[36, 81, 3] Operation: 84/28=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[36, 28, 3], Operations: ['84-81=3'] Exploring Operation: 36-28=8, Resulting Numbers: [3, 8] Generated Node #0,0,0: 69:[3, 8] Operation: 36-28=8 Exploring Operation: 36/3=12, Resulting Numbers: [28, 12] Generated Node #0,0,1: 69:[28, 12] Operation: 36/3=12 Exploring Operation: 36+28=64, Resulting Numbers: [3, 64] Generated Node #0,0,2: 69:[3, 64] Operation: 36+28=64 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[3, 8], Operations: ['84-81=3', '36-28=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,69 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,69 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,69 unequal: No Solution No 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: 69:[3, 64], Operations: ['84-81=3', '36+28=64'] Exploring Operation: 3+64=67, Resulting Numbers: [67] 67,69 unequal: No Solution Exploring Operation: 64-3=61, Resulting Numbers: [61] 61,69 unequal: No Solution Exploring Operation: 3*64=192, Resulting Numbers: [192] 192,69 unequal: No Solution No 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: 69:[28, 12], Operations: ['84-81=3', '36/3=12'] Exploring Operation: 28*12=336, Resulting Numbers: [336] 336,69 unequal: No Solution Exploring Operation: 28+12=40, Resulting Numbers: [40] 40,69 unequal: No Solution Exploring Operation: 28-12=16, Resulting Numbers: [16] 16,69 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: 69:[36, 81, 3], Operations: ['84/28=3'] Exploring Operation: 36/3=12, Resulting Numbers: [81, 12] Generated Node #0,2,0: 69:[81, 12] Operation: 36/3=12 Exploring Operation: 81/3=27, Resulting Numbers: [36, 27] Generated Node #0,2,1: 69:[36, 27] Operation: 81/3=27 Exploring Operation: 81-36=45, Resulting Numbers: [3, 45] Generated Node #0,2,2: 69:[3, 45] Operation: 81-36=45 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 69:[36, 27], Operations: ['84/28=3', '81/3=27'] Exploring Operation: 36*27=972, Resulting Numbers: [972] 972,69 unequal: No Solution Exploring Operation: 36-27=9, Resulting Numbers: [9] 9,69 unequal: No Solution Exploring Operation: 36+27=63, Resulting Numbers: [63] 63,69 unequal: No Solution No 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: 69:[81, 12], Operations: ['84/28=3', '36/3=12'] Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,69 unequal: No Solution Exploring Operation: 81*12=972, Resulting Numbers: [972] 972,69 unequal: No Solution Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[36, 81, 84, 28], Operations: [] Exploring Operation: 84/28=3, Resulting Numbers: [36, 81, 3] Generated Node #0,2: 69:[36, 81, 3] Operation: 84/28=3 Moving to Node #0,2 Current State: 69:[36, 81, 3], Operations: ['84/28=3'] Exploring Operation: 36/3=12, Resulting Numbers: [81, 12] Generated Node #0,2,0: 69:[81, 12] Operation: 36/3=12 Moving to Node #0,2,0 Current State: 69:[81, 12], Operations: ['84/28=3', '36/3=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.975694
hs_3
sum_heuristic
[ 7, 62, 17, 83 ]
28
[ "62+17=79", "83-79=4", "7*4=28" ]
Current State: 28:[7, 62, 17, 83], Operations: [] Exploring Operation: 62+17=79, Resulting Numbers: [7, 83, 79] Generated Node #2: [7, 83, 79] from Operation: 62+17=79 Current State: 28:[7, 83, 79], Operations: ['62+17=79'] Exploring Operation: 83-79=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 83-79=4 Current State: 28:[7, 4], Operations: ['62+17=79', '83-79=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[7, 62, 17, 83], Operations: [] Exploring Operation: 83-7=76, Resulting Numbers: [62, 17, 76] Generated Node #0,0: 28:[62, 17, 76] Operation: 83-7=76 Exploring Operation: 83-17=66, Resulting Numbers: [7, 62, 66] Generated Node #0,1: 28:[7, 62, 66] Operation: 83-17=66 Exploring Operation: 62-17=45, Resulting Numbers: [7, 83, 45] Generated Node #0,2: 28:[7, 83, 45] Operation: 62-17=45 Exploring Operation: 62-7=55, Resulting Numbers: [17, 83, 55] Generated Node #0,3: 28:[17, 83, 55] Operation: 62-7=55 Exploring Operation: 83-62=21, Resulting Numbers: [7, 17, 21] Generated Node #0,4: 28:[7, 17, 21] Operation: 83-62=21 Moving to Node #0,4 Current State: 28:[7, 17, 21], Operations: ['83-62=21'] Exploring Operation: 21-7=14, Resulting Numbers: [17, 14] Generated Node #0,4,0: 28:[17, 14] Operation: 21-7=14 Exploring Operation: 21/7=3, Resulting Numbers: [17, 3] Generated Node #0,4,1: 28:[17, 3] Operation: 21/7=3 Exploring Operation: 17-7=10, Resulting Numbers: [21, 10] Generated Node #0,4,2: 28:[21, 10] Operation: 17-7=10 Exploring Operation: 21-17=4, Resulting Numbers: [7, 4] Generated Node #0,4,3: 28:[7, 4] Operation: 21-17=4 Exploring Operation: 7+21=28, Resulting Numbers: [17, 28] Generated Node #0,4,4: 28:[17, 28] Operation: 7+21=28 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 28:[7, 4], Operations: ['83-62=21', '21-17=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[7, 62, 17, 83], Operations: [] Exploring Operation: 83-62=21, Resulting Numbers: [7, 17, 21] Generated Node #0,4: 28:[7, 17, 21] Operation: 83-62=21 Moving to Node #0,4 Current State: 28:[7, 17, 21], Operations: ['83-62=21'] Exploring Operation: 21-17=4, Resulting Numbers: [7, 4] Generated Node #0,4,3: 28:[7, 4] Operation: 21-17=4 Moving to Node #0,4,3 Current State: 28:[7, 4], Operations: ['83-62=21', '21-17=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_5
sum_heuristic
[ 28, 97, 28, 43 ]
33
[ "97+43=140", "140/28=5", "28+5=33" ]
Current State: 33:[28, 97, 28, 43], Operations: [] Exploring Operation: 97+43=140, Resulting Numbers: [28, 28, 140] Generated Node #2: [28, 28, 140] from Operation: 97+43=140 Current State: 33:[28, 28, 140], Operations: ['97+43=140'] Exploring Operation: 140/28=5, Resulting Numbers: [5] 5,33 equal: Goal Reached Exploring Operation: 28+5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[28, 97, 28, 43], Operations: [] Exploring Operation: 97-28=69, Resulting Numbers: [28, 43, 69] Generated Node #0,0: 33:[28, 43, 69] Operation: 97-28=69 Exploring Operation: 97-43=54, Resulting Numbers: [28, 28, 54] Generated Node #0,1: 33:[28, 28, 54] Operation: 97-43=54 Start Sub Search at level 1: Moving to Node #0,1 Current State: 33:[28, 28, 54], Operations: ['97-43=54'] Exploring Operation: 54-28=26, Resulting Numbers: [28, 26] Generated Node #0,1,0: 33:[28, 26] Operation: 54-28=26 Exploring Operation: 54-28=26, Resulting Numbers: [28, 26] Generated Node #0,1,1: 33:[28, 26] Operation: 54-28=26 Moving to Node #0,1,0 Current State: 33:[28, 26], Operations: ['97-43=54', '54-28=26'] Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 28-26=2, Resulting Numbers: [2] 2,33 unequal: No Solution Moving to Node #0,1,1 Current State: 33:[28, 26], Operations: ['97-43=54', '54-28=26'] Exploring Operation: 28-26=2, Resulting Numbers: [2] 2,33 unequal: No Solution Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,33 unequal: No Solution No 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: 33:[28, 43, 69], Operations: ['97-28=69'] Exploring Operation: 69-43=26, Resulting Numbers: [28, 26] Generated Node #0,0,0: 33:[28, 26] Operation: 69-43=26 Exploring Operation: 69-28=41, Resulting Numbers: [43, 41] Generated Node #0,0,1: 33:[43, 41] Operation: 69-28=41 Moving to Node #0,0,0 Current State: 33:[28, 26], Operations: ['97-28=69', '69-43=26'] Exploring Operation: 28+26=54, Resulting Numbers: [54] 54,33 unequal: No Solution Exploring Operation: 28-26=2, Resulting Numbers: [2] 2,33 unequal: No Solution Moving to Node #0,0,1 Current State: 33:[43, 41], Operations: ['97-28=69', '69-28=41'] Exploring Operation: 43+41=84, Resulting Numbers: [84] 84,33 unequal: No Solution Exploring Operation: 43-41=2, Resulting Numbers: [2] 2,33 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
[ 83, 57, 95, 18 ]
27
[ "83+57=140", "95+18=113", "140-113=27" ]
Current State: 27:[83, 57, 95, 18], Operations: [] Exploring Operation: 83+57=140, Resulting Numbers: [95, 18, 140] Generated Node #2: [95, 18, 140] from Operation: 83+57=140 Current State: 27:[95, 18, 140], Operations: ['83+57=140'] Exploring Operation: 95+18=113, Resulting Numbers: [140, 113] Generated Node #3: [140, 113] from Operation: 95+18=113 Current State: 27:[140, 113], Operations: ['83+57=140', '95+18=113'] Exploring Operation: 140-113=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[83, 57, 95, 18], Operations: [] Exploring Operation: 83-57=26, Resulting Numbers: [95, 18, 26] Generated Node #0,0: 27:[95, 18, 26] Operation: 83-57=26 Exploring Operation: 95-57=38, Resulting Numbers: [83, 18, 38] Generated Node #0,1: 27:[83, 18, 38] Operation: 95-57=38 Exploring Operation: 95-83=12, Resulting Numbers: [57, 18, 12] Generated Node #0,2: 27:[57, 18, 12] Operation: 95-83=12 Moving to Node #0,2 Current State: 27:[57, 18, 12], Operations: ['95-83=12'] Exploring Operation: 57-12=45, Resulting Numbers: [18, 45] Generated Node #0,2,0: 27:[18, 45] Operation: 57-12=45 Exploring Operation: 18+12=30, Resulting Numbers: [57, 30] Generated Node #0,2,1: 27:[57, 30] Operation: 18+12=30 Exploring Operation: 57-18=39, Resulting Numbers: [12, 39] Generated Node #0,2,2: 27:[12, 39] Operation: 57-18=39 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 27:[12, 39], Operations: ['95-83=12', '57-18=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[83, 57, 95, 18], Operations: [] Exploring Operation: 95-83=12, Resulting Numbers: [57, 18, 12] Generated Node #0,2: 27:[57, 18, 12] Operation: 95-83=12 Moving to Node #0,2 Current State: 27:[57, 18, 12], Operations: ['95-83=12'] Exploring Operation: 57-18=39, Resulting Numbers: [12, 39] Generated Node #0,2,2: 27:[12, 39] Operation: 57-18=39 Moving to Node #0,2,2 Current State: 27:[12, 39], Operations: ['95-83=12', '57-18=39'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_3
mult_heuristic
[ 8, 18, 91, 8 ]
73
[ "8+18=26", "91+8=99", "99-26=73" ]
Current State: 73:[8, 18, 91, 8], Operations: [] Exploring Operation: 8+18=26, Resulting Numbers: [91, 26] Generated Node #2: [91, 26] from Operation: 8+18=26 Current State: 73:[91, 26], Operations: ['8+18=26'] Exploring Operation: 91+8=99, Resulting Numbers: [26, 99] Generated Node #3: [26, 99] from Operation: 91+8=99 Current State: 73:[26, 99], Operations: ['8+18=26', '91+8=99'] Exploring Operation: 99-26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[8, 18, 91, 8], Operations: [] Exploring Operation: 8*8=64, Resulting Numbers: [18, 91, 64] Generated Node #0,0: 73:[18, 91, 64] Operation: 8*8=64 Exploring Operation: 91-8=83, Resulting Numbers: [18, 8, 83] Generated Node #0,1: 73:[18, 8, 83] Operation: 91-8=83 Exploring Operation: 8+18=26, Resulting Numbers: [91, 8, 26] Generated Node #0,2: 73:[91, 8, 26] Operation: 8+18=26 Moving to Node #0,0 Current State: 73:[18, 91, 64], Operations: ['8*8=64'] Exploring Operation: 18+64=82, Resulting Numbers: [91, 82] Generated Node #0,0,0: 73:[91, 82] Operation: 18+64=82 Exploring Operation: 18+91=109, Resulting Numbers: [64, 109] Generated Node #0,0,1: 73:[64, 109] Operation: 18+91=109 Exploring Operation: 91-18=73, Resulting Numbers: [64, 73] Generated Node #0,0,2: 73:[64, 73] Operation: 91-18=73 Moving to Node #0,1 Current State: 73:[18, 8, 83], Operations: ['91-8=83'] Exploring Operation: 18+8=26, Resulting Numbers: [83, 26] Generated Node #0,1,0: 73:[83, 26] Operation: 18+8=26 Exploring Operation: 83-8=75, Resulting Numbers: [18, 75] Generated Node #0,1,1: 73:[18, 75] Operation: 83-8=75 Exploring Operation: 18-8=10, Resulting Numbers: [83, 10] Generated Node #0,1,2: 73:[83, 10] Operation: 18-8=10 Moving to Node #0,2 Current State: 73:[91, 8, 26], Operations: ['8+18=26'] Exploring Operation: 8+26=34, Resulting Numbers: [91, 34] Generated Node #0,2,0: 73:[91, 34] Operation: 8+26=34 Exploring Operation: 91+8=99, Resulting Numbers: [26, 99] Generated Node #0,2,1: 73:[26, 99] Operation: 91+8=99 Exploring Operation: 91-8=83, Resulting Numbers: [26, 83] Generated Node #0,2,2: 73:[26, 83] Operation: 91-8=83 Moving to Node #0,0,2 Current State: 73:[64, 73], Operations: ['8*8=64', '91-18=73'] Exploring Operation: 64+73=137, Resulting Numbers: [137] 137,73 unequal: No Solution Exploring Operation: 73-64=9, Resulting Numbers: [9] 9,73 unequal: No Solution Exploring Operation: 64*73=4672, Resulting Numbers: [4672] 4672,73 unequal: No Solution Moving to Node #0,0,0 Current State: 73:[91, 82], Operations: ['8*8=64', '18+64=82'] Exploring Operation: 91+82=173, Resulting Numbers: [173] 173,73 unequal: No Solution Exploring Operation: 91-82=9, Resulting Numbers: [9] 9,73 unequal: No Solution Exploring Operation: 91*82=7462, Resulting Numbers: [7462] 7462,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[64, 109], Operations: ['8*8=64', '18+91=109'] Exploring Operation: 109-64=45, Resulting Numbers: [45] 45,73 unequal: No Solution Exploring Operation: 64*109=6976, Resulting Numbers: [6976] 6976,73 unequal: No Solution Exploring Operation: 64+109=173, Resulting Numbers: [173] 173,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[91, 34], Operations: ['8+18=26', '8+26=34'] Exploring Operation: 91*34=3094, Resulting Numbers: [3094] 3094,73 unequal: No Solution Exploring Operation: 91-34=57, Resulting Numbers: [57] 57,73 unequal: No Solution Exploring Operation: 91+34=125, Resulting Numbers: [125] 125,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[26, 83], Operations: ['8+18=26', '91-8=83'] Exploring Operation: 26+83=109, Resulting Numbers: [109] 109,73 unequal: No Solution Exploring Operation: 83-26=57, Resulting Numbers: [57] 57,73 unequal: No Solution Exploring Operation: 26*83=2158, Resulting Numbers: [2158] 2158,73 unequal: No Solution Moving to Node #0,1,1 Current State: 73:[18, 75], Operations: ['91-8=83', '83-8=75'] Exploring Operation: 18*75=1350, Resulting Numbers: [1350] 1350,73 unequal: No Solution Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,73 unequal: No Solution Exploring Operation: 18+75=93, Resulting Numbers: [93] 93,73 unequal: No Solution Moving to Node #0,1,0 Current State: 73:[83, 26], Operations: ['91-8=83', '18+8=26'] Exploring Operation: 83+26=109, Resulting Numbers: [109] 109,73 unequal: No Solution Exploring Operation: 83-26=57, Resulting Numbers: [57] 57,73 unequal: No Solution Exploring Operation: 83*26=2158, Resulting Numbers: [2158] 2158,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[26, 99], Operations: ['8+18=26', '91+8=99'] Exploring Operation: 26*99=2574, Resulting Numbers: [2574] 2574,73 unequal: No Solution Exploring Operation: 26+99=125, Resulting Numbers: [125] 125,73 unequal: No Solution Exploring Operation: 99-26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached Moving to Node #0 Current State: 73:[8, 18, 91, 8], Operations: [] Exploring Operation: 8+18=26, Resulting Numbers: [91, 8, 26] Generated Node #0,2: 73:[91, 8, 26] Operation: 8+18=26 Moving to Node #0,2 Current State: 73:[91, 8, 26], Operations: ['8+18=26'] Exploring Operation: 91+8=99, Resulting Numbers: [26, 99] Generated Node #0,2,1: 73:[26, 99] Operation: 91+8=99 Moving to Node #0,2,1 Current State: 73:[26, 99], Operations: ['8+18=26', '91+8=99'] Exploring Operation: 99-26=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
0.965278
hs_3
mult_heuristic
[ 76, 82, 55, 71 ]
81
[ "82-71=11", "55/11=5", "76+5=81" ]
Current State: 81:[76, 82, 55, 71], Operations: [] Exploring Operation: 82-71=11, Resulting Numbers: [76, 55, 11] Generated Node #2: [76, 55, 11] from Operation: 82-71=11 Current State: 81:[76, 55, 11], Operations: ['82-71=11'] Exploring Operation: 55/11=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 55/11=5 Current State: 81:[76, 5], Operations: ['82-71=11', '55/11=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[76, 82, 55, 71], Operations: [] Exploring Operation: 71-55=16, Resulting Numbers: [76, 82, 16] Generated Node #0,0: 81:[76, 82, 16] Operation: 71-55=16 Exploring Operation: 82-55=27, Resulting Numbers: [76, 71, 27] Generated Node #0,1: 81:[76, 71, 27] Operation: 82-55=27 Moving to Node #0,0 Current State: 81:[76, 82, 16], Operations: ['71-55=16'] Exploring Operation: 76+16=92, Resulting Numbers: [82, 92] Generated Node #0,0,0: 81:[82, 92] Operation: 76+16=92 Exploring Operation: 82-76=6, Resulting Numbers: [16, 6] Generated Node #0,0,1: 81:[16, 6] Operation: 82-76=6 Moving to Node #0,1 Current State: 81:[76, 71, 27], Operations: ['82-55=27'] Exploring Operation: 76-71=5, Resulting Numbers: [27, 5] Generated Node #0,1,0: 81:[27, 5] Operation: 76-71=5 Exploring Operation: 71+27=98, Resulting Numbers: [76, 98] Generated Node #0,1,1: 81:[76, 98] Operation: 71+27=98 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 81:[27, 5], Operations: ['82-55=27', '76-71=5'] Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,81 unequal: No Solution Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,81 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 #0,1,1 Current State: 81:[76, 98], Operations: ['82-55=27', '71+27=98'] Exploring Operation: 98-76=22, Resulting Numbers: [22] 22,81 unequal: No Solution Exploring Operation: 76+98=174, Resulting Numbers: [174] 174,81 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: 81:[16, 6], Operations: ['71-55=16', '82-76=6'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,81 unequal: No Solution Exploring Operation: 16+6=22, Resulting Numbers: [22] 22,81 unequal: No Solution Moving to Node #0,0,0 Current State: 81:[82, 92], Operations: ['71-55=16', '76+16=92'] Exploring Operation: 82+92=174, Resulting Numbers: [174] 174,81 unequal: No Solution Exploring Operation: 92-82=10, Resulting Numbers: [10] 10,81 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 22, 54, 48, 59 ]
56
[ "59-48=11", "22/11=2", "54+2=56" ]
Current State: 56:[22, 54, 48, 59], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [22, 54, 11] Generated Node #2: [22, 54, 11] from Operation: 59-48=11 Current State: 56:[22, 54, 11], Operations: ['59-48=11'] Exploring Operation: 22/11=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 22/11=2 Current State: 56:[54, 2], Operations: ['59-48=11', '22/11=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[22, 54, 48, 59], Operations: [] Exploring Operation: 48-22=26, Resulting Numbers: [54, 59, 26] Generated Node #0,0: 56:[54, 59, 26] Operation: 48-22=26 Exploring Operation: 59-48=11, Resulting Numbers: [22, 54, 11] Generated Node #0,1: 56:[22, 54, 11] Operation: 59-48=11 Exploring Operation: 54-48=6, Resulting Numbers: [22, 59, 6] Generated Node #0,2: 56:[22, 59, 6] Operation: 54-48=6 Start Sub Search at level 1: Moving to Node #0,0 Current State: 56:[54, 59, 26], Operations: ['48-22=26'] Exploring Operation: 59-26=33, Resulting Numbers: [54, 33] Generated Node #0,0,0: 56:[54, 33] Operation: 59-26=33 Exploring Operation: 54-26=28, Resulting Numbers: [59, 28] Generated Node #0,0,1: 56:[59, 28] Operation: 54-26=28 Exploring Operation: 59-54=5, Resulting Numbers: [26, 5] Generated Node #0,0,2: 56:[26, 5] Operation: 59-54=5 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 56:[59, 28], Operations: ['48-22=26', '54-26=28'] Exploring Operation: 59+28=87, Resulting Numbers: [87] 87,56 unequal: No Solution Exploring Operation: 59*28=1652, Resulting Numbers: [1652] 1652,56 unequal: No Solution Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,56 unequal: No Solution No 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: 56:[26, 5], Operations: ['48-22=26', '59-54=5'] Exploring Operation: 26-5=21, Resulting Numbers: [21] 21,56 unequal: No Solution Exploring Operation: 26*5=130, Resulting Numbers: [130] 130,56 unequal: No Solution Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,56 unequal: No Solution No 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: 56:[54, 33], Operations: ['48-22=26', '59-26=33'] Exploring Operation: 54+33=87, Resulting Numbers: [87] 87,56 unequal: No Solution Exploring Operation: 54*33=1782, Resulting Numbers: [1782] 1782,56 unequal: No Solution Exploring Operation: 54-33=21, Resulting Numbers: [21] 21,56 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: 56:[22, 59, 6], Operations: ['54-48=6'] Exploring Operation: 22-6=16, Resulting Numbers: [59, 16] Generated Node #0,2,0: 56:[59, 16] Operation: 22-6=16 Exploring Operation: 22+6=28, Resulting Numbers: [59, 28] Generated Node #0,2,1: 56:[59, 28] Operation: 22+6=28 Exploring Operation: 59-6=53, Resulting Numbers: [22, 53] Generated Node #0,2,2: 56:[22, 53] Operation: 59-6=53 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 56:[59, 28], Operations: ['54-48=6', '22+6=28'] Exploring Operation: 59-28=31, Resulting Numbers: [31] 31,56 unequal: No Solution Exploring Operation: 59*28=1652, Resulting Numbers: [1652] 1652,56 unequal: No Solution Exploring Operation: 59+28=87, Resulting Numbers: [87] 87,56 unequal: No Solution No 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: 56:[59, 16], Operations: ['54-48=6', '22-6=16'] Exploring Operation: 59*16=944, Resulting Numbers: [944] 944,56 unequal: No Solution Exploring Operation: 59-16=43, Resulting Numbers: [43] 43,56 unequal: No Solution Exploring Operation: 59+16=75, Resulting Numbers: [75] 75,56 unequal: No Solution No 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: 56:[22, 53], Operations: ['54-48=6', '59-6=53'] Exploring Operation: 22*53=1166, Resulting Numbers: [1166] 1166,56 unequal: No Solution Exploring Operation: 53-22=31, Resulting Numbers: [31] 31,56 unequal: No Solution Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,56 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: 56:[22, 54, 11], Operations: ['59-48=11'] Exploring Operation: 54-22=32, Resulting Numbers: [11, 32] Generated Node #0,1,0: 56:[11, 32] Operation: 54-22=32 Exploring Operation: 22/11=2, Resulting Numbers: [54, 2] Generated Node #0,1,1: 56:[54, 2] Operation: 22/11=2 Exploring Operation: 22-11=11, Resulting Numbers: [54, 11] Generated Node #0,1,2: 56:[54, 11] Operation: 22-11=11 Moving to Node #0,1,1 Current State: 56:[54, 2], Operations: ['59-48=11', '22/11=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,56 unequal: No Solution Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Moving to Node #0 Current State: 56:[22, 54, 48, 59], Operations: [] Exploring Operation: 59-48=11, Resulting Numbers: [22, 54, 11] Generated Node #0,1: 56:[22, 54, 11] Operation: 59-48=11 Moving to Node #0,1 Current State: 56:[22, 54, 11], Operations: ['59-48=11'] Exploring Operation: 22/11=2, Resulting Numbers: [54, 2] Generated Node #0,1,1: 56:[54, 2] Operation: 22/11=2 Moving to Node #0,1,1 Current State: 56:[54, 2], Operations: ['59-48=11', '22/11=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,56 equal: Goal Reached Exit Sub Search at level 1
0.96875
hs_3
sum_heuristic
[ 1, 4, 28, 10 ]
13
[ "1+4=5", "28-10=18", "18-5=13" ]
Current State: 13:[1, 4, 28, 10], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [28, 10, 5] Generated Node #2: [28, 10, 5] from Operation: 1+4=5 Current State: 13:[28, 10, 5], Operations: ['1+4=5'] Exploring Operation: 28-10=18, Resulting Numbers: [5, 18] Generated Node #3: [5, 18] from Operation: 28-10=18 Current State: 13:[5, 18], Operations: ['1+4=5', '28-10=18'] Exploring Operation: 18-5=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
Current State: 13:[1, 4, 28, 10], Operations: [] Exploring Operation: 28/4=7, Resulting Numbers: [1, 10, 7] Generated Node #0,0: 13:[1, 10, 7] Operation: 28/4=7 Exploring Operation: 28-1=27, Resulting Numbers: [4, 10, 27] Generated Node #0,1: 13:[4, 10, 27] Operation: 28-1=27 Exploring Operation: 1+4=5, Resulting Numbers: [28, 10, 5] Generated Node #0,2: 13:[28, 10, 5] Operation: 1+4=5 Moving to Node #0,0 Current State: 13:[1, 10, 7], Operations: ['28/4=7'] Exploring Operation: 1*10=10, Resulting Numbers: [7, 10] Generated Node #0,0,0: 13:[7, 10] Operation: 1*10=10 Exploring Operation: 1+10=11, Resulting Numbers: [7, 11] Generated Node #0,0,1: 13:[7, 11] Operation: 1+10=11 Exploring Operation: 1+7=8, Resulting Numbers: [10, 8] Generated Node #0,0,2: 13:[10, 8] Operation: 1+7=8 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 13:[7, 11], Operations: ['28/4=7', '1+10=11'] Exploring Operation: 11-7=4, Resulting Numbers: [4] 4,13 unequal: No Solution Exploring Operation: 7*11=77, Resulting Numbers: [77] 77,13 unequal: No Solution Exploring Operation: 7+11=18, Resulting Numbers: [18] 18,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 13:[10, 8], Operations: ['28/4=7', '1+7=8'] Exploring Operation: 10*8=80, Resulting Numbers: [80] 80,13 unequal: No Solution Exploring Operation: 10-8=2, Resulting Numbers: [2] 2,13 unequal: No Solution Exploring Operation: 10+8=18, Resulting Numbers: [18] 18,13 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 13:[7, 10], Operations: ['28/4=7', '1*10=10'] Exploring Operation: 10-7=3, Resulting Numbers: [3] 3,13 unequal: No Solution Exploring Operation: 7+10=17, Resulting Numbers: [17] 17,13 unequal: No Solution Exploring Operation: 7*10=70, Resulting Numbers: [70] 70,13 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:[4, 10, 27], Operations: ['28-1=27'] Exploring Operation: 4+10=14, Resulting Numbers: [27, 14] Generated Node #0,1,0: 13:[27, 14] Operation: 4+10=14 Exploring Operation: 27-10=17, Resulting Numbers: [4, 17] Generated Node #0,1,1: 13:[4, 17] Operation: 27-10=17 Exploring Operation: 27-4=23, Resulting Numbers: [10, 23] Generated Node #0,1,2: 13:[10, 23] Operation: 27-4=23 Moving to Node #0,2 Current State: 13:[28, 10, 5], Operations: ['1+4=5'] Exploring Operation: 28-5=23, Resulting Numbers: [10, 23] Generated Node #0,2,0: 13:[10, 23] Operation: 28-5=23 Exploring Operation: 28-10=18, Resulting Numbers: [5, 18] Generated Node #0,2,1: 13:[5, 18] Operation: 28-10=18 Exploring Operation: 10+5=15, Resulting Numbers: [28, 15] Generated Node #0,2,2: 13:[28, 15] Operation: 10+5=15 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 13:[10, 23], Operations: ['1+4=5', '28-5=23'] Exploring Operation: 10*23=230, Resulting Numbers: [230] 230,13 unequal: No Solution Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Moving to Node #0 Current State: 13:[1, 4, 28, 10], Operations: [] Exploring Operation: 1+4=5, Resulting Numbers: [28, 10, 5] Generated Node #0,2: 13:[28, 10, 5] Operation: 1+4=5 Moving to Node #0,2 Current State: 13:[28, 10, 5], Operations: ['1+4=5'] Exploring Operation: 28-5=23, Resulting Numbers: [10, 23] Generated Node #0,2,0: 13:[10, 23] Operation: 28-5=23 Moving to Node #0,2,0 Current State: 13:[10, 23], Operations: ['1+4=5', '28-5=23'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,13 equal: Goal Reached Exit Sub Search at level 1
0.976563
hs_3
sum_heuristic
[ 5, 77, 45, 37 ]
63
[ "5*37=185", "77+45=122", "185-122=63" ]
Current State: 63:[5, 77, 45, 37], Operations: [] Exploring Operation: 5*37=185, Resulting Numbers: [77, 45, 185] Generated Node #2: [77, 45, 185] from Operation: 5*37=185 Current State: 63:[77, 45, 185], Operations: ['5*37=185'] Exploring Operation: 77+45=122, Resulting Numbers: [185, 122] Generated Node #3: [185, 122] from Operation: 77+45=122 Current State: 63:[185, 122], Operations: ['5*37=185', '77+45=122'] Exploring Operation: 185-122=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[5, 77, 45, 37], Operations: [] Exploring Operation: 45/5=9, Resulting Numbers: [77, 37, 9] Generated Node #0,0: 63:[77, 37, 9] Operation: 45/5=9 Exploring Operation: 45-37=8, Resulting Numbers: [5, 77, 8] Generated Node #0,1: 63:[5, 77, 8] Operation: 45-37=8 Exploring Operation: 45+37=82, Resulting Numbers: [5, 77, 82] Generated Node #0,2: 63:[5, 77, 82] Operation: 45+37=82 Exploring Operation: 77-45=32, Resulting Numbers: [5, 37, 32] Generated Node #0,3: 63:[5, 37, 32] Operation: 77-45=32 Start Sub Search at level 1: Moving to Node #0,1 Current State: 63:[5, 77, 8], Operations: ['45-37=8'] Exploring Operation: 5+8=13, Resulting Numbers: [77, 13] Generated Node #0,1,0: 63:[77, 13] Operation: 5+8=13 Exploring Operation: 8-5=3, Resulting Numbers: [77, 3] Generated Node #0,1,1: 63:[77, 3] Operation: 8-5=3 Exploring Operation: 77-5=72, Resulting Numbers: [8, 72] Generated Node #0,1,2: 63:[8, 72] Operation: 77-5=72 Exploring Operation: 77-8=69, Resulting Numbers: [5, 69] Generated Node #0,1,3: 63:[5, 69] Operation: 77-8=69 Moving to Node #0,1,3 Current State: 63:[5, 69], Operations: ['45-37=8', '77-8=69'] Exploring Operation: 5*69=345, Resulting Numbers: [345] 345,63 unequal: No Solution Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 5+69=74, Resulting Numbers: [74] 74,63 unequal: No Solution Moving to Node #0,1,2 Current State: 63:[8, 72], Operations: ['45-37=8', '77-5=72'] Exploring Operation: 8+72=80, Resulting Numbers: [80] 80,63 unequal: No Solution Exploring Operation: 72-8=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 72/8=9, Resulting Numbers: [9] 9,63 unequal: No Solution Exploring Operation: 8*72=576, Resulting Numbers: [576] 576,63 unequal: No Solution Moving to Node #0,1,1 Current State: 63:[77, 3], Operations: ['45-37=8', '8-5=3'] Exploring Operation: 77-3=74, Resulting Numbers: [74] 74,63 unequal: No Solution Exploring Operation: 77*3=231, Resulting Numbers: [231] 231,63 unequal: No Solution Exploring Operation: 77+3=80, Resulting Numbers: [80] 80,63 unequal: No Solution Moving to Node #0,1,0 Current State: 63:[77, 13], Operations: ['45-37=8', '5+8=13'] Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,63 unequal: No Solution Exploring Operation: 77*13=1001, Resulting Numbers: [1001] 1001,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 63:[5, 37, 32], Operations: ['77-45=32'] Exploring Operation: 37+32=69, Resulting Numbers: [5, 69] Generated Node #0,3,0: 63:[5, 69] Operation: 37+32=69 Exploring Operation: 32-5=27, Resulting Numbers: [37, 27] Generated Node #0,3,1: 63:[37, 27] Operation: 32-5=27 Exploring Operation: 37-32=5, Resulting Numbers: [5, 5] Generated Node #0,3,2: 63:[5, 5] Operation: 37-32=5 Exploring Operation: 37-5=32, Resulting Numbers: [32, 32] Generated Node #0,3,3: 63:[32, 32] Operation: 37-5=32 Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 63:[5, 5], Operations: ['77-45=32', '37-32=5'] Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,63 unequal: No Solution Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,63 unequal: No Solution Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,63 unequal: No Solution Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,63 unequal: No Solution No 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: 63:[5, 69], Operations: ['77-45=32', '37+32=69'] Exploring Operation: 5*69=345, Resulting Numbers: [345] 345,63 unequal: No Solution Exploring Operation: 69-5=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 5+69=74, Resulting Numbers: [74] 74,63 unequal: No Solution No 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: 63:[37, 27], Operations: ['77-45=32', '32-5=27'] Exploring Operation: 37-27=10, Resulting Numbers: [10] 10,63 unequal: No Solution Exploring Operation: 37+27=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 37*27=999, Resulting Numbers: [999] 999,63 unequal: No Solution No 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: 63:[32, 32], Operations: ['77-45=32', '37-5=32'] Exploring Operation: 32+32=64, Resulting Numbers: [64] 64,63 unequal: No Solution Exploring Operation: 32-32=0, Resulting Numbers: [0] 0,63 unequal: No Solution Exploring Operation: 32*32=1024, Resulting Numbers: [1024] 1024,63 unequal: No Solution Exploring Operation: 32/32=1, Resulting Numbers: [1] 1,63 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: 63:[77, 37, 9], Operations: ['45/5=9'] Exploring Operation: 37+9=46, Resulting Numbers: [77, 46] Generated Node #0,0,0: 63:[77, 46] Operation: 37+9=46 Exploring Operation: 37-9=28, Resulting Numbers: [77, 28] Generated Node #0,0,1: 63:[77, 28] Operation: 37-9=28 Exploring Operation: 77-9=68, Resulting Numbers: [37, 68] Generated Node #0,0,2: 63:[37, 68] Operation: 77-9=68 Exploring Operation: 77-37=40, Resulting Numbers: [9, 40] Generated Node #0,0,3: 63:[9, 40] Operation: 77-37=40 Moving to Node #0,0,3 Current State: 63:[9, 40], Operations: ['45/5=9', '77-37=40'] Exploring Operation: 9+40=49, Resulting Numbers: [49] 49,63 unequal: No Solution Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,63 unequal: No Solution Exploring Operation: 9*40=360, Resulting Numbers: [360] 360,63 unequal: No Solution Moving to Node #0,0,2 Current State: 63:[37, 68], Operations: ['45/5=9', '77-9=68'] Exploring Operation: 37*68=2516, Resulting Numbers: [2516] 2516,63 unequal: No Solution Exploring Operation: 37+68=105, Resulting Numbers: [105] 105,63 unequal: No Solution Exploring Operation: 68-37=31, Resulting Numbers: [31] 31,63 unequal: No Solution Moving to Node #0,0,1 Current State: 63:[77, 28], Operations: ['45/5=9', '37-9=28'] Exploring Operation: 77+28=105, Resulting Numbers: [105] 105,63 unequal: No Solution Exploring Operation: 77-28=49, Resulting Numbers: [49] 49,63 unequal: No Solution Exploring Operation: 77*28=2156, Resulting Numbers: [2156] 2156,63 unequal: No Solution Moving to Node #0,0,0 Current State: 63:[77, 46], Operations: ['45/5=9', '37+9=46'] Exploring Operation: 77*46=3542, Resulting Numbers: [3542] 3542,63 unequal: No Solution Exploring Operation: 77-46=31, Resulting Numbers: [31] 31,63 unequal: No Solution Exploring Operation: 77+46=123, Resulting Numbers: [123] 123,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 63:[5, 77, 82], Operations: ['45+37=82'] Exploring Operation: 82-77=5, Resulting Numbers: [5, 5] Generated Node #0,2,0: 63:[5, 5] Operation: 82-77=5 Exploring Operation: 77-5=72, Resulting Numbers: [82, 72] Generated Node #0,2,1: 63:[82, 72] Operation: 77-5=72 Exploring Operation: 5+77=82, Resulting Numbers: [82, 82] Generated Node #0,2,2: 63:[82, 82] Operation: 5+77=82 Exploring Operation: 82-5=77, Resulting Numbers: [77, 77] Generated Node #0,2,3: 63:[77, 77] Operation: 82-5=77 Moving to Node #0,2,0 Current State: 63:[5, 5], Operations: ['45+37=82', '82-77=5'] Exploring Operation: 5/5=1, Resulting Numbers: [1] 1,63 unequal: No Solution Exploring Operation: 5-5=0, Resulting Numbers: [0] 0,63 unequal: No Solution Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,63 unequal: No Solution Exploring Operation: 5*5=25, Resulting Numbers: [25] 25,63 unequal: No Solution Moving to Node #0,2,3 Current State: 63:[77, 77], Operations: ['45+37=82', '82-5=77'] Exploring Operation: 77/77=1, Resulting Numbers: [1] 1,63 unequal: No Solution Exploring Operation: 77+77=154, Resulting Numbers: [154] 154,63 unequal: No Solution Exploring Operation: 77-77=0, Resulting Numbers: [0] 0,63 unequal: No Solution Exploring Operation: 77*77=5929, Resulting Numbers: [5929] 5929,63 unequal: No Solution Moving to Node #0,2,1 Current State: 63:[82, 72], Operations: ['45+37=82', '77-5=72'] Exploring Operation: 82-72=10, Resulting Numbers: [10] 10,63 unequal: No Solution Exploring Operation: 82*72=5904, Resulting Numbers: [5904] 5904,63 unequal: No Solution Exploring Operation: 82+72=154, Resulting Numbers: [154] 154,63 unequal: No Solution Moving to Node #0,2,2 Current State: 63:[82, 82], Operations: ['45+37=82', '5+77=82'] Exploring Operation: 82-82=0, Resulting Numbers: [0] 0,63 unequal: No Solution Exploring Operation: 82/82=1, Resulting Numbers: [1] 1,63 unequal: No Solution Exploring Operation: 82+82=164, Resulting Numbers: [164] 164,63 unequal: No Solution Exploring Operation: 82*82=6724, Resulting Numbers: [6724] 6724,63 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, 44, 14, 17 ]
33
[ "44-42=2", "14+17=31", "2+31=33" ]
Current State: 33:[42, 44, 14, 17], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [14, 17, 2] Generated Node #2: [14, 17, 2] from Operation: 44-42=2 Current State: 33:[14, 17, 2], Operations: ['44-42=2'] Exploring Operation: 14+17=31, Resulting Numbers: [2, 31] Generated Node #3: [2, 31] from Operation: 14+17=31 Current State: 33:[2, 31], Operations: ['44-42=2', '14+17=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[42, 44, 14, 17], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [14, 17, 2] Generated Node #0,0: 33:[14, 17, 2] Operation: 44-42=2 Exploring Operation: 44-17=27, Resulting Numbers: [42, 14, 27] Generated Node #0,1: 33:[42, 14, 27] Operation: 44-17=27 Exploring Operation: 17-14=3, Resulting Numbers: [42, 44, 3] Generated Node #0,2: 33:[42, 44, 3] Operation: 17-14=3 Exploring Operation: 44-14=30, Resulting Numbers: [42, 17, 30] Generated Node #0,3: 33:[42, 17, 30] Operation: 44-14=30 Exploring Operation: 42/14=3, Resulting Numbers: [44, 17, 3] Generated Node #0,4: 33:[44, 17, 3] Operation: 42/14=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 33:[14, 17, 2], Operations: ['44-42=2'] Exploring Operation: 17-14=3, Resulting Numbers: [2, 3] Generated Node #0,0,0: 33:[2, 3] Operation: 17-14=3 Exploring Operation: 14+17=31, Resulting Numbers: [2, 31] Generated Node #0,0,1: 33:[2, 31] Operation: 14+17=31 Exploring Operation: 14-2=12, Resulting Numbers: [17, 12] Generated Node #0,0,2: 33:[17, 12] Operation: 14-2=12 Exploring Operation: 17*2=34, Resulting Numbers: [14, 34] Generated Node #0,0,3: 33:[14, 34] Operation: 17*2=34 Exploring Operation: 17-2=15, Resulting Numbers: [14, 15] Generated Node #0,0,4: 33:[14, 15] Operation: 17-2=15 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 33:[2, 3], Operations: ['44-42=2', '17-14=3'] Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,33 unequal: No Solution Exploring Operation: 2+3=5, Resulting Numbers: [5] 5,33 unequal: No Solution Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,33 unequal: No Solution No 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: 33:[2, 31], Operations: ['44-42=2', '14+17=31'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,33 unequal: No Solution Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,33 unequal: No Solution Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Moving to Node #0 Current State: 33:[42, 44, 14, 17], Operations: [] Exploring Operation: 44-42=2, Resulting Numbers: [14, 17, 2] Generated Node #0,0: 33:[14, 17, 2] Operation: 44-42=2 Moving to Node #0,0 Current State: 33:[14, 17, 2], Operations: ['44-42=2'] Exploring Operation: 14+17=31, Resulting Numbers: [2, 31] Generated Node #0,0,1: 33:[2, 31] Operation: 14+17=31 Moving to Node #0,0,1 Current State: 33:[2, 31], Operations: ['44-42=2', '14+17=31'] Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.982639
hs_5
mult_heuristic
[ 6, 58, 57, 9 ]
61
[ "6*9=54", "58+57=115", "115-54=61" ]
Current State: 61:[6, 58, 57, 9], Operations: [] Exploring Operation: 6*9=54, Resulting Numbers: [58, 57, 54] Generated Node #2: [58, 57, 54] from Operation: 6*9=54 Current State: 61:[58, 57, 54], Operations: ['6*9=54'] Exploring Operation: 58+57=115, Resulting Numbers: [54, 115] Generated Node #3: [54, 115] from Operation: 58+57=115 Current State: 61:[54, 115], Operations: ['6*9=54', '58+57=115'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[6, 58, 57, 9], Operations: [] Exploring Operation: 6+9=15, Resulting Numbers: [58, 57, 15] Generated Node #0,0: 61:[58, 57, 15] Operation: 6+9=15 Exploring Operation: 6+58=64, Resulting Numbers: [57, 9, 64] Generated Node #0,1: 61:[57, 9, 64] Operation: 6+58=64 Exploring Operation: 6*9=54, Resulting Numbers: [58, 57, 54] Generated Node #0,2: 61:[58, 57, 54] Operation: 6*9=54 Exploring Operation: 6+57=63, Resulting Numbers: [58, 9, 63] Generated Node #0,3: 61:[58, 9, 63] Operation: 6+57=63 Start Sub Search at level 1: Moving to Node #0,2 Current State: 61:[58, 57, 54], Operations: ['6*9=54'] Exploring Operation: 58-54=4, Resulting Numbers: [57, 4] Generated Node #0,2,0: 61:[57, 4] Operation: 58-54=4 Exploring Operation: 58+54=112, Resulting Numbers: [57, 112] Generated Node #0,2,1: 61:[57, 112] Operation: 58+54=112 Exploring Operation: 57+54=111, Resulting Numbers: [58, 111] Generated Node #0,2,2: 61:[58, 111] Operation: 57+54=111 Exploring Operation: 58+57=115, Resulting Numbers: [54, 115] Generated Node #0,2,3: 61:[54, 115] Operation: 58+57=115 Moving to Node #0,2,2 Current State: 61:[58, 111], Operations: ['6*9=54', '57+54=111'] Exploring Operation: 58*111=6438, Resulting Numbers: [6438] 6438,61 unequal: No Solution Exploring Operation: 111-58=53, Resulting Numbers: [53] 53,61 unequal: No Solution Exploring Operation: 58+111=169, Resulting Numbers: [169] 169,61 unequal: No Solution Moving to Node #0,2,1 Current State: 61:[57, 112], Operations: ['6*9=54', '58+54=112'] Exploring Operation: 57*112=6384, Resulting Numbers: [6384] 6384,61 unequal: No Solution Exploring Operation: 112-57=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 57+112=169, Resulting Numbers: [169] 169,61 unequal: No Solution Moving to Node #0,2,3 Current State: 61:[54, 115], Operations: ['6*9=54', '58+57=115'] Exploring Operation: 54+115=169, Resulting Numbers: [169] 169,61 unequal: No Solution Exploring Operation: 54*115=6210, Resulting Numbers: [6210] 6210,61 unequal: No Solution Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[6, 58, 57, 9], Operations: [] Exploring Operation: 6*9=54, Resulting Numbers: [58, 57, 54] Generated Node #0,2: 61:[58, 57, 54] Operation: 6*9=54 Moving to Node #0,2 Current State: 61:[58, 57, 54], Operations: ['6*9=54'] Exploring Operation: 58+57=115, Resulting Numbers: [54, 115] Generated Node #0,2,3: 61:[54, 115] Operation: 58+57=115 Moving to Node #0,2,3 Current State: 61:[54, 115], Operations: ['6*9=54', '58+57=115'] Exploring Operation: 115-54=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 1
0.981771
hs_4
sum_heuristic
[ 36, 30, 58, 21 ]
31
[ "36-30=6", "58-21=37", "37-6=31" ]
Current State: 31:[36, 30, 58, 21], Operations: [] Exploring Operation: 36-30=6, Resulting Numbers: [58, 21, 6] Generated Node #2: [58, 21, 6] from Operation: 36-30=6 Current State: 31:[58, 21, 6], Operations: ['36-30=6'] Exploring Operation: 58-21=37, Resulting Numbers: [6, 37] Generated Node #3: [6, 37] from Operation: 58-21=37 Current State: 31:[6, 37], Operations: ['36-30=6', '58-21=37'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[36, 30, 58, 21], Operations: [] Exploring Operation: 58-21=37, Resulting Numbers: [36, 30, 37] Generated Node #0,0: 31:[36, 30, 37] Operation: 58-21=37 Exploring Operation: 58-30=28, Resulting Numbers: [36, 21, 28] Generated Node #0,1: 31:[36, 21, 28] Operation: 58-30=28 Moving to Node #0,0 Current State: 31:[36, 30, 37], Operations: ['58-21=37'] Exploring Operation: 36-30=6, Resulting Numbers: [37, 6] Generated Node #0,0,0: 31:[37, 6] Operation: 36-30=6 Exploring Operation: 37-30=7, Resulting Numbers: [36, 7] Generated Node #0,0,1: 31:[36, 7] Operation: 37-30=7 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 31:[36, 7], Operations: ['58-21=37', '37-30=7'] Exploring Operation: 36-7=29, Resulting Numbers: [29] 29,31 unequal: No Solution Exploring Operation: 36+7=43, Resulting Numbers: [43] 43,31 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 #0,0,0 Current State: 31:[37, 6], Operations: ['58-21=37', '36-30=6'] Exploring Operation: 37+6=43, Resulting Numbers: [43] 43,31 unequal: No Solution Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[36, 30, 58, 21], Operations: [] Exploring Operation: 58-21=37, Resulting Numbers: [36, 30, 37] Generated Node #0,0: 31:[36, 30, 37] Operation: 58-21=37 Moving to Node #0,0 Current State: 31:[36, 30, 37], Operations: ['58-21=37'] Exploring Operation: 36-30=6, Resulting Numbers: [37, 6] Generated Node #0,0,0: 31:[37, 6] Operation: 36-30=6 Moving to Node #0,0,0 Current State: 31:[37, 6], Operations: ['58-21=37', '36-30=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_2
mult_heuristic
[ 17, 82, 22, 66 ]
80
[ "22-17=5", "82-66=16", "5*16=80" ]
Current State: 80:[17, 82, 22, 66], Operations: [] Exploring Operation: 22-17=5, Resulting Numbers: [82, 66, 5] Generated Node #2: [82, 66, 5] from Operation: 22-17=5 Current State: 80:[82, 66, 5], Operations: ['22-17=5'] Exploring Operation: 82-66=16, Resulting Numbers: [5, 16] Generated Node #3: [5, 16] from Operation: 82-66=16 Current State: 80:[5, 16], Operations: ['22-17=5', '82-66=16'] Exploring Operation: 5*16=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[17, 82, 22, 66], Operations: [] Exploring Operation: 82-66=16, Resulting Numbers: [17, 22, 16] Generated Node #0,0: 80:[17, 22, 16] Operation: 82-66=16 Exploring Operation: 17+66=83, Resulting Numbers: [82, 22, 83] Generated Node #0,1: 80:[82, 22, 83] Operation: 17+66=83 Exploring Operation: 66-22=44, Resulting Numbers: [17, 82, 44] Generated Node #0,2: 80:[17, 82, 44] Operation: 66-22=44 Exploring Operation: 66/22=3, Resulting Numbers: [17, 82, 3] Generated Node #0,3: 80:[17, 82, 3] Operation: 66/22=3 Start Sub Search at level 1: Moving to Node #0,0 Current State: 80:[17, 22, 16], Operations: ['82-66=16'] Exploring Operation: 22-17=5, Resulting Numbers: [16, 5] Generated Node #0,0,0: 80:[16, 5] Operation: 22-17=5 Exploring Operation: 22-16=6, Resulting Numbers: [17, 6] Generated Node #0,0,1: 80:[17, 6] Operation: 22-16=6 Exploring Operation: 17+22=39, Resulting Numbers: [16, 39] Generated Node #0,0,2: 80:[16, 39] Operation: 17+22=39 Exploring Operation: 17-16=1, Resulting Numbers: [22, 1] Generated Node #0,0,3: 80:[22, 1] Operation: 17-16=1 Moving to Node #0,0,0 Current State: 80:[16, 5], Operations: ['82-66=16', '22-17=5'] Exploring Operation: 16-5=11, Resulting Numbers: [11] 11,80 unequal: No Solution Exploring Operation: 16+5=21, Resulting Numbers: [21] 21,80 unequal: No Solution Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Moving to Node #0 Current State: 80:[17, 82, 22, 66], Operations: [] Exploring Operation: 82-66=16, Resulting Numbers: [17, 22, 16] Generated Node #0,0: 80:[17, 22, 16] Operation: 82-66=16 Moving to Node #0,0 Current State: 80:[17, 22, 16], Operations: ['82-66=16'] Exploring Operation: 22-17=5, Resulting Numbers: [16, 5] Generated Node #0,0,0: 80:[16, 5] Operation: 22-17=5 Moving to Node #0,0,0 Current State: 80:[16, 5], Operations: ['82-66=16', '22-17=5'] Exploring Operation: 16*5=80, Resulting Numbers: [80] 80,80 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 5, 88, 98, 19 ]
17
[ "98-88=10", "10/5=2", "19-2=17" ]
Current State: 17:[5, 88, 98, 19], Operations: [] Exploring Operation: 98-88=10, Resulting Numbers: [5, 19, 10] Generated Node #2: [5, 19, 10] from Operation: 98-88=10 Current State: 17:[5, 19, 10], Operations: ['98-88=10'] Exploring Operation: 10/5=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 10/5=2 Current State: 17:[19, 2], Operations: ['98-88=10', '10/5=2'] Exploring Operation: 19-2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[5, 88, 98, 19], Operations: [] Exploring Operation: 88-19=69, Resulting Numbers: [5, 98, 69] Generated Node #0,0: 17:[5, 98, 69] Operation: 88-19=69 Exploring Operation: 98-88=10, Resulting Numbers: [5, 19, 10] Generated Node #0,1: 17:[5, 19, 10] Operation: 98-88=10 Moving to Node #0,1 Current State: 17:[5, 19, 10], Operations: ['98-88=10'] Exploring Operation: 5+10=15, Resulting Numbers: [19, 15] Generated Node #0,1,0: 17:[19, 15] Operation: 5+10=15 Exploring Operation: 19-5=14, Resulting Numbers: [10, 14] Generated Node #0,1,1: 17:[10, 14] Operation: 19-5=14 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 17:[19, 15], Operations: ['98-88=10', '5+10=15'] Exploring Operation: 19+15=34, Resulting Numbers: [34] 34,17 unequal: No Solution Exploring Operation: 19-15=4, Resulting Numbers: [4] 4,17 unequal: No Solution No 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: 17:[10, 14], Operations: ['98-88=10', '19-5=14'] Exploring Operation: 10+14=24, Resulting Numbers: [24] 24,17 unequal: No Solution Exploring Operation: 14-10=4, Resulting Numbers: [4] 4,17 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: 17:[5, 98, 69], Operations: ['88-19=69'] Exploring Operation: 98-5=93, Resulting Numbers: [69, 93] Generated Node #0,0,0: 17:[69, 93] Operation: 98-5=93 Exploring Operation: 98-69=29, Resulting Numbers: [5, 29] Generated Node #0,0,1: 17:[5, 29] Operation: 98-69=29 Moving to Node #0,0,1 Current State: 17:[5, 29], Operations: ['88-19=69', '98-69=29'] Exploring Operation: 29-5=24, Resulting Numbers: [24] 24,17 unequal: No Solution Exploring Operation: 5+29=34, Resulting Numbers: [34] 34,17 unequal: No Solution Moving to Node #0,0,0 Current State: 17:[69, 93], Operations: ['88-19=69', '98-5=93'] Exploring Operation: 93-69=24, Resulting Numbers: [24] 24,17 unequal: No Solution Exploring Operation: 69+93=162, Resulting Numbers: [162] 162,17 unequal: No Solution No solution found.
0
hs_2
sum_heuristic
[ 90, 78, 81, 30 ]
57
[ "90+78=168", "81+30=111", "168-111=57" ]
Current State: 57:[90, 78, 81, 30], Operations: [] Exploring Operation: 90+78=168, Resulting Numbers: [81, 30, 168] Generated Node #2: [81, 30, 168] from Operation: 90+78=168 Current State: 57:[81, 30, 168], Operations: ['90+78=168'] Exploring Operation: 81+30=111, Resulting Numbers: [168, 111] Generated Node #3: [168, 111] from Operation: 81+30=111 Current State: 57:[168, 111], Operations: ['90+78=168', '81+30=111'] Exploring Operation: 168-111=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[90, 78, 81, 30], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [78, 30, 9] Generated Node #0,0: 57:[78, 30, 9] Operation: 90-81=9 Exploring Operation: 90-78=12, Resulting Numbers: [81, 30, 12] Generated Node #0,1: 57:[81, 30, 12] Operation: 90-78=12 Start Sub Search at level 1: Moving to Node #0,0 Current State: 57:[78, 30, 9], Operations: ['90-81=9'] Exploring Operation: 78-30=48, Resulting Numbers: [9, 48] Generated Node #0,0,0: 57:[9, 48] Operation: 78-30=48 Exploring Operation: 78-9=69, Resulting Numbers: [30, 69] Generated Node #0,0,1: 57:[30, 69] Operation: 78-9=69 Moving to Node #0,0,0 Current State: 57:[9, 48], Operations: ['90-81=9', '78-30=48'] Exploring Operation: 48-9=39, Resulting Numbers: [39] 39,57 unequal: No Solution Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[90, 78, 81, 30], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [78, 30, 9] Generated Node #0,0: 57:[78, 30, 9] Operation: 90-81=9 Moving to Node #0,0 Current State: 57:[78, 30, 9], Operations: ['90-81=9'] Exploring Operation: 78-30=48, Resulting Numbers: [9, 48] Generated Node #0,0,0: 57:[9, 48] Operation: 78-30=48 Moving to Node #0,0,0 Current State: 57:[9, 48], Operations: ['90-81=9', '78-30=48'] Exploring Operation: 9+48=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 37, 7, 71, 52 ]
63
[ "37+7=44", "71-52=19", "44+19=63" ]
Current State: 63:[37, 7, 71, 52], Operations: [] Exploring Operation: 37+7=44, Resulting Numbers: [71, 52, 44] Generated Node #2: [71, 52, 44] from Operation: 37+7=44 Current State: 63:[71, 52, 44], Operations: ['37+7=44'] Exploring Operation: 71-52=19, Resulting Numbers: [44, 19] Generated Node #3: [44, 19] from Operation: 71-52=19 Current State: 63:[44, 19], Operations: ['37+7=44', '71-52=19'] Exploring Operation: 44+19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[37, 7, 71, 52], Operations: [] Exploring Operation: 71-37=34, Resulting Numbers: [7, 52, 34] Generated Node #0,0: 63:[7, 52, 34] Operation: 71-37=34 Exploring Operation: 52-37=15, Resulting Numbers: [7, 71, 15] Generated Node #0,1: 63:[7, 71, 15] Operation: 52-37=15 Exploring Operation: 71-52=19, Resulting Numbers: [37, 7, 19] Generated Node #0,2: 63:[37, 7, 19] Operation: 71-52=19 Moving to Node #0,1 Current State: 63:[7, 71, 15], Operations: ['52-37=15'] Exploring Operation: 71-7=64, Resulting Numbers: [15, 64] Generated Node #0,1,0: 63:[15, 64] Operation: 71-7=64 Exploring Operation: 71-15=56, Resulting Numbers: [7, 56] Generated Node #0,1,1: 63:[7, 56] Operation: 71-15=56 Exploring Operation: 7+15=22, Resulting Numbers: [71, 22] Generated Node #0,1,2: 63:[71, 22] Operation: 7+15=22 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 63:[15, 64], Operations: ['52-37=15', '71-7=64'] Exploring Operation: 15+64=79, Resulting Numbers: [79] 79,63 unequal: No Solution Exploring Operation: 15*64=960, Resulting Numbers: [960] 960,63 unequal: No Solution Exploring Operation: 64-15=49, Resulting Numbers: [49] 49,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 63:[7, 56], Operations: ['52-37=15', '71-15=56'] Exploring Operation: 56/7=8, Resulting Numbers: [8] 8,63 unequal: No Solution Exploring Operation: 7+56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Moving to Node #0 Current State: 63:[37, 7, 71, 52], Operations: [] Exploring Operation: 52-37=15, Resulting Numbers: [7, 71, 15] Generated Node #0,1: 63:[7, 71, 15] Operation: 52-37=15 Moving to Node #0,1 Current State: 63:[7, 71, 15], Operations: ['52-37=15'] Exploring Operation: 71-15=56, Resulting Numbers: [7, 56] Generated Node #0,1,1: 63:[7, 56] Operation: 71-15=56 Moving to Node #0,1,1 Current State: 63:[7, 56], Operations: ['52-37=15', '71-15=56'] Exploring Operation: 7+56=63, Resulting Numbers: [63] 63,63 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_3
sum_heuristic
[ 49, 75, 53, 1 ]
70
[ "49+75=124", "53+1=54", "124-54=70" ]
Current State: 70:[49, 75, 53, 1], Operations: [] Exploring Operation: 49+75=124, Resulting Numbers: [53, 1, 124] Generated Node #2: [53, 1, 124] from Operation: 49+75=124 Current State: 70:[53, 1, 124], Operations: ['49+75=124'] Exploring Operation: 53+1=54, Resulting Numbers: [124, 54] Generated Node #3: [124, 54] from Operation: 53+1=54 Current State: 70:[124, 54], Operations: ['49+75=124', '53+1=54'] Exploring Operation: 124-54=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[49, 75, 53, 1], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [75, 53, 48] Generated Node #0,0: 70:[75, 53, 48] Operation: 49-1=48 Exploring Operation: 53-49=4, Resulting Numbers: [75, 1, 4] Generated Node #0,1: 70:[75, 1, 4] Operation: 53-49=4 Exploring Operation: 75-49=26, Resulting Numbers: [53, 1, 26] Generated Node #0,2: 70:[53, 1, 26] Operation: 75-49=26 Exploring Operation: 75-1=74, Resulting Numbers: [49, 53, 74] Generated Node #0,3: 70:[49, 53, 74] Operation: 75-1=74 Exploring Operation: 75-53=22, Resulting Numbers: [49, 1, 22] Generated Node #0,4: 70:[49, 1, 22] Operation: 75-53=22 Moving to Node #0,1 Current State: 70:[75, 1, 4], Operations: ['53-49=4'] Exploring Operation: 75-4=71, Resulting Numbers: [1, 71] Generated Node #0,1,0: 70:[1, 71] Operation: 75-4=71 Exploring Operation: 75-1=74, Resulting Numbers: [4, 74] Generated Node #0,1,1: 70:[4, 74] Operation: 75-1=74 Exploring Operation: 1+4=5, Resulting Numbers: [75, 5] Generated Node #0,1,2: 70:[75, 5] Operation: 1+4=5 Exploring Operation: 75/1=75, Resulting Numbers: [4, 75] Generated Node #0,1,3: 70:[4, 75] Operation: 75/1=75 Exploring Operation: 75*1=75, Resulting Numbers: [4, 75] Generated Node #0,1,4: 70:[4, 75] Operation: 75*1=75 Moving to Node #0,4 Current State: 70:[49, 1, 22], Operations: ['75-53=22'] Exploring Operation: 22-1=21, Resulting Numbers: [49, 21] Generated Node #0,4,0: 70:[49, 21] Operation: 22-1=21 Exploring Operation: 49-22=27, Resulting Numbers: [1, 27] Generated Node #0,4,1: 70:[1, 27] Operation: 49-22=27 Exploring Operation: 49+22=71, Resulting Numbers: [1, 71] Generated Node #0,4,2: 70:[1, 71] Operation: 49+22=71 Exploring Operation: 49-1=48, Resulting Numbers: [22, 48] Generated Node #0,4,3: 70:[22, 48] Operation: 49-1=48 Exploring Operation: 49*1=49, Resulting Numbers: [22, 49] Generated Node #0,4,4: 70:[22, 49] Operation: 49*1=49 Moving to Node #0,2 Current State: 70:[53, 1, 26], Operations: ['75-49=26'] Exploring Operation: 53+1=54, Resulting Numbers: [26, 54] Generated Node #0,2,0: 70:[26, 54] Operation: 53+1=54 Exploring Operation: 53*1=53, Resulting Numbers: [26, 53] Generated Node #0,2,1: 70:[26, 53] Operation: 53*1=53 Exploring Operation: 53+26=79, Resulting Numbers: [1, 79] Generated Node #0,2,2: 70:[1, 79] Operation: 53+26=79 Exploring Operation: 1+26=27, Resulting Numbers: [53, 27] Generated Node #0,2,3: 70:[53, 27] Operation: 1+26=27 Exploring Operation: 53-26=27, Resulting Numbers: [1, 27] Generated Node #0,2,4: 70:[1, 27] Operation: 53-26=27 Moving to Node #0,0 Current State: 70:[75, 53, 48], Operations: ['49-1=48'] Exploring Operation: 53-48=5, Resulting Numbers: [75, 5] Generated Node #0,0,0: 70:[75, 5] Operation: 53-48=5 Exploring Operation: 75+48=123, Resulting Numbers: [53, 123] Generated Node #0,0,1: 70:[53, 123] Operation: 75+48=123 Exploring Operation: 75-48=27, Resulting Numbers: [53, 27] Generated Node #0,0,2: 70:[53, 27] Operation: 75-48=27 Exploring Operation: 75-53=22, Resulting Numbers: [48, 22] Generated Node #0,0,3: 70:[48, 22] Operation: 75-53=22 Exploring Operation: 53+48=101, Resulting Numbers: [75, 101] Generated Node #0,0,4: 70:[75, 101] Operation: 53+48=101 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 70:[75, 5], Operations: ['49-1=48', '53-48=5'] Exploring Operation: 75-5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[49, 75, 53, 1], Operations: [] Exploring Operation: 49-1=48, Resulting Numbers: [75, 53, 48] Generated Node #0,0: 70:[75, 53, 48] Operation: 49-1=48 Moving to Node #0,0 Current State: 70:[75, 53, 48], Operations: ['49-1=48'] Exploring Operation: 53-48=5, Resulting Numbers: [75, 5] Generated Node #0,0,0: 70:[75, 5] Operation: 53-48=5 Moving to Node #0,0,0 Current State: 70:[75, 5], Operations: ['49-1=48', '53-48=5'] Exploring Operation: 75-5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_5
mult_heuristic
[ 3, 26, 22, 80 ]
96
[ "26+22=48", "48/3=16", "80+16=96" ]
Current State: 96:[3, 26, 22, 80], Operations: [] Exploring Operation: 26+22=48, Resulting Numbers: [3, 80, 48] Generated Node #2: [3, 80, 48] from Operation: 26+22=48 Current State: 96:[3, 80, 48], Operations: ['26+22=48'] Exploring Operation: 48/3=16, Resulting Numbers: [80, 16] Generated Node #3: [80, 16] from Operation: 48/3=16 Current State: 96:[80, 16], Operations: ['26+22=48', '48/3=16'] Exploring Operation: 80+16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[3, 26, 22, 80], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [3, 22, 54] Generated Node #0,0: 96:[3, 22, 54] Operation: 80-26=54 Exploring Operation: 80-22=58, Resulting Numbers: [3, 26, 58] Generated Node #0,1: 96:[3, 26, 58] Operation: 80-22=58 Exploring Operation: 26+80=106, Resulting Numbers: [3, 22, 106] Generated Node #0,2: 96:[3, 22, 106] Operation: 26+80=106 Exploring Operation: 22+80=102, Resulting Numbers: [3, 26, 102] Generated Node #0,3: 96:[3, 26, 102] Operation: 22+80=102 Start Sub Search at level 1: Moving to Node #0,0 Current State: 96:[3, 22, 54], Operations: ['80-26=54'] Exploring Operation: 54-3=51, Resulting Numbers: [22, 51] Generated Node #0,0,0: 96:[22, 51] Operation: 54-3=51 Exploring Operation: 54-22=32, Resulting Numbers: [3, 32] Generated Node #0,0,1: 96:[3, 32] Operation: 54-22=32 Exploring Operation: 3+22=25, Resulting Numbers: [54, 25] Generated Node #0,0,2: 96:[54, 25] Operation: 3+22=25 Exploring Operation: 54/3=18, Resulting Numbers: [22, 18] Generated Node #0,0,3: 96:[22, 18] Operation: 54/3=18 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 96:[3, 32], Operations: ['80-26=54', '54-22=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[3, 26, 22, 80], Operations: [] Exploring Operation: 80-26=54, Resulting Numbers: [3, 22, 54] Generated Node #0,0: 96:[3, 22, 54] Operation: 80-26=54 Moving to Node #0,0 Current State: 96:[3, 22, 54], Operations: ['80-26=54'] Exploring Operation: 54-22=32, Resulting Numbers: [3, 32] Generated Node #0,0,1: 96:[3, 32] Operation: 54-22=32 Moving to Node #0,0,1 Current State: 96:[3, 32], Operations: ['80-26=54', '54-22=32'] Exploring Operation: 3*32=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.988715
hs_4
sum_heuristic
[ 33, 85, 67, 64 ]
96
[ "67-64=3", "33/3=11", "85+11=96" ]
Current State: 96:[33, 85, 67, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [33, 85, 3] Generated Node #2: [33, 85, 3] from Operation: 67-64=3 Current State: 96:[33, 85, 3], Operations: ['67-64=3'] Exploring Operation: 33/3=11, Resulting Numbers: [85, 11] Generated Node #3: [85, 11] from Operation: 33/3=11 Current State: 96:[85, 11], Operations: ['67-64=3', '33/3=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[33, 85, 67, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [33, 85, 3] Generated Node #0,0: 96:[33, 85, 3] Operation: 67-64=3 Exploring Operation: 85-67=18, Resulting Numbers: [33, 64, 18] Generated Node #0,1: 96:[33, 64, 18] Operation: 85-67=18 Exploring Operation: 85-64=21, Resulting Numbers: [33, 67, 21] Generated Node #0,2: 96:[33, 67, 21] Operation: 85-64=21 Exploring Operation: 67-33=34, Resulting Numbers: [85, 64, 34] Generated Node #0,3: 96:[85, 64, 34] Operation: 67-33=34 Moving to Node #0,0 Current State: 96:[33, 85, 3], Operations: ['67-64=3'] Exploring Operation: 85-33=52, Resulting Numbers: [3, 52] Generated Node #0,0,0: 96:[3, 52] Operation: 85-33=52 Exploring Operation: 33-3=30, Resulting Numbers: [85, 30] Generated Node #0,0,1: 96:[85, 30] Operation: 33-3=30 Exploring Operation: 33/3=11, Resulting Numbers: [85, 11] Generated Node #0,0,2: 96:[85, 11] Operation: 33/3=11 Exploring Operation: 85+3=88, Resulting Numbers: [33, 88] Generated Node #0,0,3: 96:[33, 88] Operation: 85+3=88 Moving to Node #0,1 Current State: 96:[33, 64, 18], Operations: ['85-67=18'] Exploring Operation: 33+64=97, Resulting Numbers: [18, 97] Generated Node #0,1,0: 96:[18, 97] Operation: 33+64=97 Exploring Operation: 64+18=82, Resulting Numbers: [33, 82] Generated Node #0,1,1: 96:[33, 82] Operation: 64+18=82 Exploring Operation: 64-18=46, Resulting Numbers: [33, 46] Generated Node #0,1,2: 96:[33, 46] Operation: 64-18=46 Exploring Operation: 64-33=31, Resulting Numbers: [18, 31] Generated Node #0,1,3: 96:[18, 31] Operation: 64-33=31 Moving to Node #0,2 Current State: 96:[33, 67, 21], Operations: ['85-64=21'] Exploring Operation: 67-33=34, Resulting Numbers: [21, 34] Generated Node #0,2,0: 96:[21, 34] Operation: 67-33=34 Exploring Operation: 67-21=46, Resulting Numbers: [33, 46] Generated Node #0,2,1: 96:[33, 46] Operation: 67-21=46 Exploring Operation: 67+21=88, Resulting Numbers: [33, 88] Generated Node #0,2,2: 96:[33, 88] Operation: 67+21=88 Exploring Operation: 33+67=100, Resulting Numbers: [21, 100] Generated Node #0,2,3: 96:[21, 100] Operation: 33+67=100 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 96:[33, 46], Operations: ['85-64=21', '67-21=46'] Exploring Operation: 33*46=1518, Resulting Numbers: [1518] 1518,96 unequal: No Solution Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 33+46=79, Resulting Numbers: [79] 79,96 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 #0,2,0 Current State: 96:[21, 34], Operations: ['85-64=21', '67-33=34'] Exploring Operation: 21+34=55, Resulting Numbers: [55] 55,96 unequal: No Solution Exploring Operation: 21*34=714, Resulting Numbers: [714] 714,96 unequal: No Solution Exploring Operation: 34-21=13, Resulting Numbers: [13] 13,96 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 #0,2,3 Current State: 96:[21, 100], Operations: ['85-64=21', '33+67=100'] Exploring Operation: 100-21=79, Resulting Numbers: [79] 79,96 unequal: No Solution Exploring Operation: 21*100=2100, Resulting Numbers: [2100] 2100,96 unequal: No Solution Exploring Operation: 21+100=121, Resulting Numbers: [121] 121,96 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 #0,2,2 Current State: 96:[33, 88], Operations: ['85-64=21', '67+21=88'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,96 unequal: No Solution Exploring Operation: 33*88=2904, Resulting Numbers: [2904] 2904,96 unequal: No Solution Exploring Operation: 33+88=121, Resulting Numbers: [121] 121,96 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: 96:[85, 64, 34], Operations: ['67-33=34'] Exploring Operation: 64-34=30, Resulting Numbers: [85, 30] Generated Node #0,3,0: 96:[85, 30] Operation: 64-34=30 Exploring Operation: 64+34=98, Resulting Numbers: [85, 98] Generated Node #0,3,1: 96:[85, 98] Operation: 64+34=98 Exploring Operation: 85-64=21, Resulting Numbers: [34, 21] Generated Node #0,3,2: 96:[34, 21] Operation: 85-64=21 Exploring Operation: 85-34=51, Resulting Numbers: [64, 51] Generated Node #0,3,3: 96:[64, 51] Operation: 85-34=51 Moving to Node #0,1,0 Current State: 96:[18, 97], Operations: ['85-67=18', '33+64=97'] Exploring Operation: 18+97=115, Resulting Numbers: [115] 115,96 unequal: No Solution Exploring Operation: 18*97=1746, Resulting Numbers: [1746] 1746,96 unequal: No Solution Exploring Operation: 97-18=79, Resulting Numbers: [79] 79,96 unequal: No Solution Moving to Node #0,1,2 Current State: 96:[33, 46], Operations: ['85-67=18', '64-18=46'] Exploring Operation: 33+46=79, Resulting Numbers: [79] 79,96 unequal: No Solution Exploring Operation: 46-33=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 33*46=1518, Resulting Numbers: [1518] 1518,96 unequal: No Solution Moving to Node #0,1,3 Current State: 96:[18, 31], Operations: ['85-67=18', '64-33=31'] Exploring Operation: 31-18=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 18+31=49, Resulting Numbers: [49] 49,96 unequal: No Solution Exploring Operation: 18*31=558, Resulting Numbers: [558] 558,96 unequal: No Solution Moving to Node #0,0,0 Current State: 96:[3, 52], Operations: ['67-64=3', '85-33=52'] Exploring Operation: 52-3=49, Resulting Numbers: [49] 49,96 unequal: No Solution Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,96 unequal: No Solution Exploring Operation: 3*52=156, Resulting Numbers: [156] 156,96 unequal: No Solution Moving to Node #0,3,2 Current State: 96:[34, 21], Operations: ['67-33=34', '85-64=21'] Exploring Operation: 34+21=55, Resulting Numbers: [55] 55,96 unequal: No Solution Exploring Operation: 34-21=13, Resulting Numbers: [13] 13,96 unequal: No Solution Exploring Operation: 34*21=714, Resulting Numbers: [714] 714,96 unequal: No Solution Moving to Node #0,0,3 Current State: 96:[33, 88], Operations: ['67-64=3', '85+3=88'] Exploring Operation: 88-33=55, Resulting Numbers: [55] 55,96 unequal: No Solution Exploring Operation: 33*88=2904, Resulting Numbers: [2904] 2904,96 unequal: No Solution Exploring Operation: 33+88=121, Resulting Numbers: [121] 121,96 unequal: No Solution Moving to Node #0,0,2 Current State: 96:[85, 11], Operations: ['67-64=3', '33/3=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[33, 85, 67, 64], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [33, 85, 3] Generated Node #0,0: 96:[33, 85, 3] Operation: 67-64=3 Moving to Node #0,0 Current State: 96:[33, 85, 3], Operations: ['67-64=3'] Exploring Operation: 33/3=11, Resulting Numbers: [85, 11] Generated Node #0,0,2: 96:[85, 11] Operation: 33/3=11 Moving to Node #0,0,2 Current State: 96:[85, 11], Operations: ['67-64=3', '33/3=11'] Exploring Operation: 85+11=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
0.952257
hs_4
sum_heuristic
[ 36, 53, 8, 94 ]
69
[ "53-36=17", "94-8=86", "86-17=69" ]
Current State: 69:[36, 53, 8, 94], Operations: [] Exploring Operation: 53-36=17, Resulting Numbers: [8, 94, 17] Generated Node #2: [8, 94, 17] from Operation: 53-36=17 Current State: 69:[8, 94, 17], Operations: ['53-36=17'] Exploring Operation: 94-8=86, Resulting Numbers: [17, 86] Generated Node #3: [17, 86] from Operation: 94-8=86 Current State: 69:[17, 86], Operations: ['53-36=17', '94-8=86'] Exploring Operation: 86-17=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[36, 53, 8, 94], Operations: [] Exploring Operation: 94-36=58, Resulting Numbers: [53, 8, 58] Generated Node #0,0: 69:[53, 8, 58] Operation: 94-36=58 Start Sub Search at level 1: Moving to Node #0,0 Current State: 69:[53, 8, 58], Operations: ['94-36=58'] Exploring Operation: 58-53=5, Resulting Numbers: [8, 5] Generated Node #0,0,0: 69:[8, 5] Operation: 58-53=5 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 69:[8, 5], Operations: ['94-36=58', '58-53=5'] Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,69 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 27, 44, 85, 9 ]
38
[ "27/9=3", "85-44=41", "41-3=38" ]
Current State: 38:[27, 44, 85, 9], Operations: [] Exploring Operation: 27/9=3, Resulting Numbers: [44, 85, 3] Generated Node #2: [44, 85, 3] from Operation: 27/9=3 Current State: 38:[44, 85, 3], Operations: ['27/9=3'] Exploring Operation: 85-44=41, Resulting Numbers: [3, 41] Generated Node #3: [3, 41] from Operation: 85-44=41 Current State: 38:[3, 41], Operations: ['27/9=3', '85-44=41'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
Current State: 38:[27, 44, 85, 9], Operations: [] Exploring Operation: 85-9=76, Resulting Numbers: [27, 44, 76] Generated Node #0,0: 38:[27, 44, 76] Operation: 85-9=76 Exploring Operation: 85-27=58, Resulting Numbers: [44, 9, 58] Generated Node #0,1: 38:[44, 9, 58] Operation: 85-27=58 Exploring Operation: 27/9=3, Resulting Numbers: [44, 85, 3] Generated Node #0,2: 38:[44, 85, 3] Operation: 27/9=3 Exploring Operation: 85-44=41, Resulting Numbers: [27, 9, 41] Generated Node #0,3: 38:[27, 9, 41] Operation: 85-44=41 Exploring Operation: 27-9=18, Resulting Numbers: [44, 85, 18] Generated Node #0,4: 38:[44, 85, 18] Operation: 27-9=18 Start Sub Search at level 1: Moving to Node #0,3 Current State: 38:[27, 9, 41], Operations: ['85-44=41'] Exploring Operation: 41-9=32, Resulting Numbers: [27, 32] Generated Node #0,3,0: 38:[27, 32] Operation: 41-9=32 Exploring Operation: 27-9=18, Resulting Numbers: [41, 18] Generated Node #0,3,1: 38:[41, 18] Operation: 27-9=18 Exploring Operation: 27+9=36, Resulting Numbers: [41, 36] Generated Node #0,3,2: 38:[41, 36] Operation: 27+9=36 Exploring Operation: 27/9=3, Resulting Numbers: [41, 3] Generated Node #0,3,3: 38:[41, 3] Operation: 27/9=3 Exploring Operation: 41-27=14, Resulting Numbers: [9, 14] Generated Node #0,3,4: 38:[9, 14] Operation: 41-27=14 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 38:[41, 18], Operations: ['85-44=41', '27-9=18'] Exploring Operation: 41+18=59, Resulting Numbers: [59] 59,38 unequal: No Solution Exploring Operation: 41-18=23, Resulting Numbers: [23] 23,38 unequal: No Solution Exploring Operation: 41*18=738, Resulting Numbers: [738] 738,38 unequal: No Solution No 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: 38:[41, 3], Operations: ['85-44=41', '27/9=3'] Exploring Operation: 41*3=123, Resulting Numbers: [123] 123,38 unequal: No Solution Exploring Operation: 41+3=44, Resulting Numbers: [44] 44,38 unequal: No Solution Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Moving to Node #0 Current State: 38:[27, 44, 85, 9], Operations: [] Exploring Operation: 85-44=41, Resulting Numbers: [27, 9, 41] Generated Node #0,3: 38:[27, 9, 41] Operation: 85-44=41 Moving to Node #0,3 Current State: 38:[27, 9, 41], Operations: ['85-44=41'] Exploring Operation: 27/9=3, Resulting Numbers: [41, 3] Generated Node #0,3,3: 38:[41, 3] Operation: 27/9=3 Moving to Node #0,3,3 Current State: 38:[41, 3], Operations: ['85-44=41', '27/9=3'] Exploring Operation: 41-3=38, Resulting Numbers: [38] 38,38 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.982639
hs_5
sum_heuristic
[ 63, 96, 47, 57 ]
63
[ "63-47=16", "96/16=6", "57+6=63" ]
Current State: 63:[63, 96, 47, 57], Operations: [] Exploring Operation: 63-47=16, Resulting Numbers: [96, 57, 16] Generated Node #2: [96, 57, 16] from Operation: 63-47=16 Current State: 63:[96, 57, 16], Operations: ['63-47=16'] Exploring Operation: 96/16=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 96/16=6 Current State: 63:[57, 6], Operations: ['63-47=16', '96/16=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
Current State: 63:[63, 96, 47, 57], Operations: [] Exploring Operation: 96-47=49, Resulting Numbers: [63, 57, 49] Generated Node #0,0: 63:[63, 57, 49] Operation: 96-47=49 Moving to Node #0,0 Current State: 63:[63, 57, 49], Operations: ['96-47=49'] Exploring Operation: 57-49=8, Resulting Numbers: [63, 8] Generated Node #0,0,0: 63:[63, 8] Operation: 57-49=8 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 63:[63, 8], Operations: ['96-47=49', '57-49=8'] Exploring Operation: 63+8=71, Resulting Numbers: [71] 71,63 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 22, 9, 91, 40 ]
55
[ "9+91=100", "22*100=2200", "2200/40=55" ]
Current State: 55:[22, 9, 91, 40], Operations: [] Exploring Operation: 9+91=100, Resulting Numbers: [22, 40, 100] Generated Node #2: [22, 40, 100] from Operation: 9+91=100 Current State: 55:[22, 40, 100], Operations: ['9+91=100'] Exploring Operation: 22*100=2200, Resulting Numbers: [40, 2200] Generated Node #3: [40, 2200] from Operation: 22*100=2200 Current State: 55:[40, 2200], Operations: ['9+91=100', '22*100=2200'] Exploring Operation: 2200/40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
Current State: 55:[22, 9, 91, 40], Operations: [] Exploring Operation: 91-40=51, Resulting Numbers: [22, 9, 51] Generated Node #0,0: 55:[22, 9, 51] Operation: 91-40=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 55:[22, 9, 51], Operations: ['91-40=51'] Exploring Operation: 22-9=13, Resulting Numbers: [51, 13] Generated Node #0,0,0: 55:[51, 13] Operation: 22-9=13 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 55:[51, 13], Operations: ['91-40=51', '22-9=13'] Exploring Operation: 51+13=64, Resulting Numbers: [64] 64,55 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 10, 92, 46, 87 ]
95
[ "10+87=97", "92/46=2", "97-2=95" ]
Current State: 95:[10, 92, 46, 87], Operations: [] Exploring Operation: 10+87=97, Resulting Numbers: [92, 46, 97] Generated Node #2: [92, 46, 97] from Operation: 10+87=97 Current State: 95:[92, 46, 97], Operations: ['10+87=97'] Exploring Operation: 92/46=2, Resulting Numbers: [97, 2] Generated Node #3: [97, 2] from Operation: 92/46=2 Current State: 95:[97, 2], Operations: ['10+87=97', '92/46=2'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[10, 92, 46, 87], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [10, 87, 2] Generated Node #0,0: 95:[10, 87, 2] Operation: 92/46=2 Exploring Operation: 46-10=36, Resulting Numbers: [92, 87, 36] Generated Node #0,1: 95:[92, 87, 36] Operation: 46-10=36 Exploring Operation: 10+87=97, Resulting Numbers: [92, 46, 97] Generated Node #0,2: 95:[92, 46, 97] Operation: 10+87=97 Exploring Operation: 87-46=41, Resulting Numbers: [10, 92, 41] Generated Node #0,3: 95:[10, 92, 41] Operation: 87-46=41 Exploring Operation: 92-87=5, Resulting Numbers: [10, 46, 5] Generated Node #0,4: 95:[10, 46, 5] Operation: 92-87=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 95:[10, 87, 2], Operations: ['92/46=2'] Exploring Operation: 87+2=89, Resulting Numbers: [10, 89] Generated Node #0,0,0: 95:[10, 89] Operation: 87+2=89 Exploring Operation: 10/2=5, Resulting Numbers: [87, 5] Generated Node #0,0,1: 95:[87, 5] Operation: 10/2=5 Exploring Operation: 10+87=97, Resulting Numbers: [2, 97] Generated Node #0,0,2: 95:[2, 97] Operation: 10+87=97 Exploring Operation: 10-2=8, Resulting Numbers: [87, 8] Generated Node #0,0,3: 95:[87, 8] Operation: 10-2=8 Exploring Operation: 10*2=20, Resulting Numbers: [87, 20] Generated Node #0,0,4: 95:[87, 20] Operation: 10*2=20 Moving to Node #0,0,2 Current State: 95:[2, 97], Operations: ['92/46=2', '10+87=97'] Exploring Operation: 2+97=99, Resulting Numbers: [99] 99,95 unequal: No Solution Exploring Operation: 2*97=194, Resulting Numbers: [194] 194,95 unequal: No Solution Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Moving to Node #0 Current State: 95:[10, 92, 46, 87], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [10, 87, 2] Generated Node #0,0: 95:[10, 87, 2] Operation: 92/46=2 Moving to Node #0,0 Current State: 95:[10, 87, 2], Operations: ['92/46=2'] Exploring Operation: 10+87=97, Resulting Numbers: [2, 97] Generated Node #0,0,2: 95:[2, 97] Operation: 10+87=97 Moving to Node #0,0,2 Current State: 95:[2, 97], Operations: ['92/46=2', '10+87=97'] Exploring Operation: 97-2=95, Resulting Numbers: [95] 95,95 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 1, 86, 3, 16 ]
94
[ "3-1=2", "16/2=8", "86+8=94" ]
Current State: 94:[1, 86, 3, 16], Operations: [] Exploring Operation: 3-1=2, Resulting Numbers: [86, 16, 2] Generated Node #2: [86, 16, 2] from Operation: 3-1=2 Current State: 94:[86, 16, 2], Operations: ['3-1=2'] Exploring Operation: 16/2=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 16/2=8 Current State: 94:[86, 8], Operations: ['3-1=2', '16/2=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[1, 86, 3, 16], Operations: [] Exploring Operation: 86+16=102, Resulting Numbers: [1, 3, 102] Generated Node #0,0: 94:[1, 3, 102] Operation: 86+16=102 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[1, 3, 102], Operations: ['86+16=102'] Exploring Operation: 102-3=99, Resulting Numbers: [1, 99] Generated Node #0,0,0: 94:[1, 99] Operation: 102-3=99 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 94:[1, 99], Operations: ['86+16=102', '102-3=99'] Exploring Operation: 99-1=98, Resulting Numbers: [98] 98,94 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 55, 9, 63, 80 ]
79
[ "55+9=64", "63+80=143", "143-64=79" ]
Current State: 79:[55, 9, 63, 80], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [63, 80, 64] Generated Node #2: [63, 80, 64] from Operation: 55+9=64 Current State: 79:[63, 80, 64], Operations: ['55+9=64'] Exploring Operation: 63+80=143, Resulting Numbers: [64, 143] Generated Node #3: [64, 143] from Operation: 63+80=143 Current State: 79:[64, 143], Operations: ['55+9=64', '63+80=143'] Exploring Operation: 143-64=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[55, 9, 63, 80], Operations: [] Exploring Operation: 80-9=71, Resulting Numbers: [55, 63, 71] Generated Node #0,0: 79:[55, 63, 71] Operation: 80-9=71 Exploring Operation: 55+9=64, Resulting Numbers: [63, 80, 64] Generated Node #0,1: 79:[63, 80, 64] Operation: 55+9=64 Exploring Operation: 9+63=72, Resulting Numbers: [55, 80, 72] Generated Node #0,2: 79:[55, 80, 72] Operation: 9+63=72 Moving to Node #0,1 Current State: 79:[63, 80, 64], Operations: ['55+9=64'] Exploring Operation: 63+80=143, Resulting Numbers: [64, 143] Generated Node #0,1,0: 79:[64, 143] Operation: 63+80=143 Exploring Operation: 80-63=17, Resulting Numbers: [64, 17] Generated Node #0,1,1: 79:[64, 17] Operation: 80-63=17 Exploring Operation: 63+64=127, Resulting Numbers: [80, 127] Generated Node #0,1,2: 79:[80, 127] Operation: 63+64=127 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 79:[80, 127], Operations: ['55+9=64', '63+64=127'] Exploring Operation: 127-80=47, Resulting Numbers: [47] 47,79 unequal: No Solution Exploring Operation: 80*127=10160, Resulting Numbers: [10160] 10160,79 unequal: No Solution Exploring Operation: 80+127=207, Resulting Numbers: [207] 207,79 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 #0,1,1 Current State: 79:[64, 17], Operations: ['55+9=64', '80-63=17'] Exploring Operation: 64-17=47, Resulting Numbers: [47] 47,79 unequal: No Solution Exploring Operation: 64*17=1088, Resulting Numbers: [1088] 1088,79 unequal: No Solution Exploring Operation: 64+17=81, Resulting Numbers: [81] 81,79 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 #0,1,0 Current State: 79:[64, 143], Operations: ['55+9=64', '63+80=143'] Exploring Operation: 64*143=9152, Resulting Numbers: [9152] 9152,79 unequal: No Solution Exploring Operation: 64+143=207, Resulting Numbers: [207] 207,79 unequal: No Solution Exploring Operation: 143-64=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Moving to Node #0 Current State: 79:[55, 9, 63, 80], Operations: [] Exploring Operation: 55+9=64, Resulting Numbers: [63, 80, 64] Generated Node #0,1: 79:[63, 80, 64] Operation: 55+9=64 Moving to Node #0,1 Current State: 79:[63, 80, 64], Operations: ['55+9=64'] Exploring Operation: 63+80=143, Resulting Numbers: [64, 143] Generated Node #0,1,0: 79:[64, 143] Operation: 63+80=143 Moving to Node #0,1,0 Current State: 79:[64, 143], Operations: ['55+9=64', '63+80=143'] Exploring Operation: 143-64=79, Resulting Numbers: [79] 79,79 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
mult_heuristic
[ 68, 96, 75, 93 ]
93
[ "93-68=25", "75/25=3", "96-3=93" ]
Current State: 93:[68, 96, 75, 93], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [96, 75, 25] Generated Node #2: [96, 75, 25] from Operation: 93-68=25 Current State: 93:[96, 75, 25], Operations: ['93-68=25'] Exploring Operation: 75/25=3, Resulting Numbers: [96, 3] Generated Node #3: [96, 3] from Operation: 75/25=3 Current State: 93:[96, 3], Operations: ['93-68=25', '75/25=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[68, 96, 75, 93], Operations: [] Exploring Operation: 75-68=7, Resulting Numbers: [96, 93, 7] Generated Node #0,0: 93:[96, 93, 7] Operation: 75-68=7 Exploring Operation: 93-68=25, Resulting Numbers: [96, 75, 25] Generated Node #0,1: 93:[96, 75, 25] Operation: 93-68=25 Exploring Operation: 96-75=21, Resulting Numbers: [68, 93, 21] Generated Node #0,2: 93:[68, 93, 21] Operation: 96-75=21 Exploring Operation: 96-68=28, Resulting Numbers: [75, 93, 28] Generated Node #0,3: 93:[75, 93, 28] Operation: 96-68=28 Moving to Node #0,0 Current State: 93:[96, 93, 7], Operations: ['75-68=7'] Exploring Operation: 93+7=100, Resulting Numbers: [96, 100] Generated Node #0,0,0: 93:[96, 100] Operation: 93+7=100 Exploring Operation: 96-93=3, Resulting Numbers: [7, 3] Generated Node #0,0,1: 93:[7, 3] Operation: 96-93=3 Exploring Operation: 96-7=89, Resulting Numbers: [93, 89] Generated Node #0,0,2: 93:[93, 89] Operation: 96-7=89 Exploring Operation: 96+7=103, Resulting Numbers: [93, 103] Generated Node #0,0,3: 93:[93, 103] Operation: 96+7=103 Moving to Node #0,3 Current State: 93:[75, 93, 28], Operations: ['96-68=28'] Exploring Operation: 75-28=47, Resulting Numbers: [93, 47] Generated Node #0,3,0: 93:[93, 47] Operation: 75-28=47 Exploring Operation: 93+28=121, Resulting Numbers: [75, 121] Generated Node #0,3,1: 93:[75, 121] Operation: 93+28=121 Exploring Operation: 75+28=103, Resulting Numbers: [93, 103] Generated Node #0,3,2: 93:[93, 103] Operation: 75+28=103 Exploring Operation: 93-75=18, Resulting Numbers: [28, 18] Generated Node #0,3,3: 93:[28, 18] Operation: 93-75=18 Moving to Node #0,1 Current State: 93:[96, 75, 25], Operations: ['93-68=25'] Exploring Operation: 96-75=21, Resulting Numbers: [25, 21] Generated Node #0,1,0: 93:[25, 21] Operation: 96-75=21 Exploring Operation: 75/25=3, Resulting Numbers: [96, 3] Generated Node #0,1,1: 93:[96, 3] Operation: 75/25=3 Exploring Operation: 75+25=100, Resulting Numbers: [96, 100] Generated Node #0,1,2: 93:[96, 100] Operation: 75+25=100 Exploring Operation: 75-25=50, Resulting Numbers: [96, 50] Generated Node #0,1,3: 93:[96, 50] Operation: 75-25=50 Moving to Node #0,2 Current State: 93:[68, 93, 21], Operations: ['96-75=21'] Exploring Operation: 68+21=89, Resulting Numbers: [93, 89] Generated Node #0,2,0: 93:[93, 89] Operation: 68+21=89 Exploring Operation: 68-21=47, Resulting Numbers: [93, 47] Generated Node #0,2,1: 93:[93, 47] Operation: 68-21=47 Exploring Operation: 93+21=114, Resulting Numbers: [68, 114] Generated Node #0,2,2: 93:[68, 114] Operation: 93+21=114 Exploring Operation: 93-68=25, Resulting Numbers: [21, 25] Generated Node #0,2,3: 93:[21, 25] Operation: 93-68=25 Moving to Node #0,1,1 Current State: 93:[96, 3], Operations: ['93-68=25', '75/25=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[68, 96, 75, 93], Operations: [] Exploring Operation: 93-68=25, Resulting Numbers: [96, 75, 25] Generated Node #0,1: 93:[96, 75, 25] Operation: 93-68=25 Moving to Node #0,1 Current State: 93:[96, 75, 25], Operations: ['93-68=25'] Exploring Operation: 75/25=3, Resulting Numbers: [96, 3] Generated Node #0,1,1: 93:[96, 3] Operation: 75/25=3 Moving to Node #0,1,1 Current State: 93:[96, 3], Operations: ['93-68=25', '75/25=3'] Exploring Operation: 96-3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
0.978299
hs_4
sum_heuristic
[ 61, 68, 5, 36 ]
33
[ "61+68=129", "36+129=165", "165/5=33" ]
Current State: 33:[61, 68, 5, 36], Operations: [] Exploring Operation: 61+68=129, Resulting Numbers: [5, 36, 129] Generated Node #2: [5, 36, 129] from Operation: 61+68=129 Current State: 33:[5, 36, 129], Operations: ['61+68=129'] Exploring Operation: 36+129=165, Resulting Numbers: [5, 165] Generated Node #3: [5, 165] from Operation: 36+129=165 Current State: 33:[5, 165], Operations: ['61+68=129', '36+129=165'] Exploring Operation: 165/5=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
Current State: 33:[61, 68, 5, 36], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [5, 36, 7] Generated Node #0,0: 33:[5, 36, 7] Operation: 68-61=7 Moving to Node #0,0 Current State: 33:[5, 36, 7], Operations: ['68-61=7'] Exploring Operation: 5+7=12, Resulting Numbers: [36, 12] Generated Node #0,0,0: 33:[36, 12] Operation: 5+7=12 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 33:[36, 12], Operations: ['68-61=7', '5+7=12'] Exploring Operation: 36/12=3, Resulting Numbers: [3] 3,33 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 27, 13, 21, 41 ]
60
[ "27+13=40", "41-21=20", "40+20=60" ]
Current State: 60:[27, 13, 21, 41], Operations: [] Exploring Operation: 27+13=40, Resulting Numbers: [21, 41, 40] Generated Node #2: [21, 41, 40] from Operation: 27+13=40 Current State: 60:[21, 41, 40], Operations: ['27+13=40'] Exploring Operation: 41-21=20, Resulting Numbers: [40, 20] Generated Node #3: [40, 20] from Operation: 41-21=20 Current State: 60:[40, 20], Operations: ['27+13=40', '41-21=20'] Exploring Operation: 40+20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[27, 13, 21, 41], Operations: [] Exploring Operation: 41-27=14, Resulting Numbers: [13, 21, 14] Generated Node #0,0: 60:[13, 21, 14] Operation: 41-27=14 Exploring Operation: 41-21=20, Resulting Numbers: [27, 13, 20] Generated Node #0,1: 60:[27, 13, 20] Operation: 41-21=20 Exploring Operation: 41-13=28, Resulting Numbers: [27, 21, 28] Generated Node #0,2: 60:[27, 21, 28] Operation: 41-13=28 Exploring Operation: 27+41=68, Resulting Numbers: [13, 21, 68] Generated Node #0,3: 60:[13, 21, 68] Operation: 27+41=68 Exploring Operation: 21+41=62, Resulting Numbers: [27, 13, 62] Generated Node #0,4: 60:[27, 13, 62] Operation: 21+41=62 Moving to Node #0,0 Current State: 60:[13, 21, 14], Operations: ['41-27=14'] Exploring Operation: 14-13=1, Resulting Numbers: [21, 1] Generated Node #0,0,0: 60:[21, 1] Operation: 14-13=1 Exploring Operation: 13+14=27, Resulting Numbers: [21, 27] Generated Node #0,0,1: 60:[21, 27] Operation: 13+14=27 Exploring Operation: 13+21=34, Resulting Numbers: [14, 34] Generated Node #0,0,2: 60:[14, 34] Operation: 13+21=34 Exploring Operation: 21-14=7, Resulting Numbers: [13, 7] Generated Node #0,0,3: 60:[13, 7] Operation: 21-14=7 Exploring Operation: 21-13=8, Resulting Numbers: [14, 8] Generated Node #0,0,4: 60:[14, 8] Operation: 21-13=8 Moving to Node #0,1 Current State: 60:[27, 13, 20], Operations: ['41-21=20'] Exploring Operation: 13+20=33, Resulting Numbers: [27, 33] Generated Node #0,1,0: 60:[27, 33] Operation: 13+20=33 Exploring Operation: 20-13=7, Resulting Numbers: [27, 7] Generated Node #0,1,1: 60:[27, 7] Operation: 20-13=7 Exploring Operation: 27-20=7, Resulting Numbers: [13, 7] Generated Node #0,1,2: 60:[13, 7] Operation: 27-20=7 Exploring Operation: 27-13=14, Resulting Numbers: [20, 14] Generated Node #0,1,3: 60:[20, 14] Operation: 27-13=14 Exploring Operation: 27+13=40, Resulting Numbers: [20, 40] Generated Node #0,1,4: 60:[20, 40] Operation: 27+13=40 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 60:[20, 14], Operations: ['41-21=20', '27-13=14'] Exploring Operation: 20-14=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 20+14=34, Resulting Numbers: [34] 34,60 unequal: No Solution Exploring Operation: 20*14=280, Resulting Numbers: [280] 280,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 60:[13, 7], Operations: ['41-21=20', '27-20=7'] Exploring Operation: 13*7=91, Resulting Numbers: [91] 91,60 unequal: No Solution Exploring Operation: 13-7=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 13+7=20, Resulting Numbers: [20] 20,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 60:[27, 7], Operations: ['41-21=20', '20-13=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,60 unequal: No Solution Exploring Operation: 27-7=20, Resulting Numbers: [20] 20,60 unequal: No Solution Exploring Operation: 27*7=189, Resulting Numbers: [189] 189,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 60:[27, 33], Operations: ['41-21=20', '13+20=33'] Exploring Operation: 33-27=6, Resulting Numbers: [6] 6,60 unequal: No Solution Exploring Operation: 27+33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[27, 13, 21, 41], Operations: [] Exploring Operation: 41-21=20, Resulting Numbers: [27, 13, 20] Generated Node #0,1: 60:[27, 13, 20] Operation: 41-21=20 Moving to Node #0,1 Current State: 60:[27, 13, 20], Operations: ['41-21=20'] Exploring Operation: 13+20=33, Resulting Numbers: [27, 33] Generated Node #0,1,0: 60:[27, 33] Operation: 13+20=33 Moving to Node #0,1,0 Current State: 60:[27, 33], Operations: ['41-21=20', '13+20=33'] Exploring Operation: 27+33=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1
0.973958
hs_5
mult_heuristic
[ 97, 3, 57, 7 ]
49
[ "97+57=154", "154-7=147", "147/3=49" ]
Current State: 49:[97, 3, 57, 7], Operations: [] Exploring Operation: 97+57=154, Resulting Numbers: [3, 7, 154] Generated Node #2: [3, 7, 154] from Operation: 97+57=154 Current State: 49:[3, 7, 154], Operations: ['97+57=154'] Exploring Operation: 154-7=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 154-7=147 Current State: 49:[3, 147], Operations: ['97+57=154', '154-7=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[97, 3, 57, 7], Operations: [] Exploring Operation: 97-57=40, Resulting Numbers: [3, 7, 40] Generated Node #0,0: 49:[3, 7, 40] Operation: 97-57=40 Moving to Node #0,0 Current State: 49:[3, 7, 40], Operations: ['97-57=40'] Exploring Operation: 3+40=43, Resulting Numbers: [7, 43] Generated Node #0,0,0: 49:[7, 43] Operation: 3+40=43 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 49:[7, 43], Operations: ['97-57=40', '3+40=43'] Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,49 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
[ 18, 14, 80, 63 ]
49
[ "18+14=32", "80-63=17", "32+17=49" ]
Current State: 49:[18, 14, 80, 63], Operations: [] Exploring Operation: 18+14=32, Resulting Numbers: [80, 63, 32] Generated Node #2: [80, 63, 32] from Operation: 18+14=32 Current State: 49:[80, 63, 32], Operations: ['18+14=32'] Exploring Operation: 80-63=17, Resulting Numbers: [32, 17] Generated Node #3: [32, 17] from Operation: 80-63=17 Current State: 49:[32, 17], Operations: ['18+14=32', '80-63=17'] Exploring Operation: 32+17=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
Current State: 49:[18, 14, 80, 63], Operations: [] Exploring Operation: 63-14=49, Resulting Numbers: [18, 80, 49] Generated Node #0,0: 49:[18, 80, 49] Operation: 63-14=49 Exploring Operation: 63-18=45, Resulting Numbers: [14, 80, 45] Generated Node #0,1: 49:[14, 80, 45] Operation: 63-18=45 Exploring Operation: 80-63=17, Resulting Numbers: [18, 14, 17] Generated Node #0,2: 49:[18, 14, 17] Operation: 80-63=17 Exploring Operation: 80-14=66, Resulting Numbers: [18, 63, 66] Generated Node #0,3: 49:[18, 63, 66] Operation: 80-14=66 Exploring Operation: 80-18=62, Resulting Numbers: [14, 63, 62] Generated Node #0,4: 49:[14, 63, 62] Operation: 80-18=62 Start Sub Search at level 1: Moving to Node #0,2 Current State: 49:[18, 14, 17], Operations: ['80-63=17'] Exploring Operation: 18-17=1, Resulting Numbers: [14, 1] Generated Node #0,2,0: 49:[14, 1] Operation: 18-17=1 Exploring Operation: 17-14=3, Resulting Numbers: [18, 3] Generated Node #0,2,1: 49:[18, 3] Operation: 17-14=3 Exploring Operation: 18-14=4, Resulting Numbers: [17, 4] Generated Node #0,2,2: 49:[17, 4] Operation: 18-14=4 Exploring Operation: 18+17=35, Resulting Numbers: [14, 35] Generated Node #0,2,3: 49:[14, 35] Operation: 18+17=35 Exploring Operation: 18+14=32, Resulting Numbers: [17, 32] Generated Node #0,2,4: 49:[17, 32] Operation: 18+14=32 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 49:[14, 1], Operations: ['80-63=17', '18-17=1'] Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,49 unequal: No Solution Exploring Operation: 14+1=15, Resulting Numbers: [15] 15,49 unequal: No Solution Exploring Operation: 14/1=14, Resulting Numbers: [14] 14,49 unequal: No Solution Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,49 unequal: No Solution No 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: 49:[17, 4], Operations: ['80-63=17', '18-14=4'] Exploring Operation: 17-4=13, Resulting Numbers: [13] 13,49 unequal: No Solution Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,49 unequal: No Solution Exploring Operation: 17+4=21, Resulting Numbers: [21] 21,49 unequal: No Solution No 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: 49:[18, 3], Operations: ['80-63=17', '17-14=3'] Exploring Operation: 18*3=54, Resulting Numbers: [54] 54,49 unequal: No Solution Exploring Operation: 18+3=21, Resulting Numbers: [21] 21,49 unequal: No Solution Exploring Operation: 18-3=15, Resulting Numbers: [15] 15,49 unequal: No Solution Exploring Operation: 18/3=6, Resulting Numbers: [6] 6,49 unequal: No Solution No 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: 49:[14, 35], Operations: ['80-63=17', '18+17=35'] Exploring Operation: 14+35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Moving to Node #0 Current State: 49:[18, 14, 80, 63], Operations: [] Exploring Operation: 80-63=17, Resulting Numbers: [18, 14, 17] Generated Node #0,2: 49:[18, 14, 17] Operation: 80-63=17 Moving to Node #0,2 Current State: 49:[18, 14, 17], Operations: ['80-63=17'] Exploring Operation: 18+17=35, Resulting Numbers: [14, 35] Generated Node #0,2,3: 49:[14, 35] Operation: 18+17=35 Moving to Node #0,2,3 Current State: 49:[14, 35], Operations: ['80-63=17', '18+17=35'] Exploring Operation: 14+35=49, Resulting Numbers: [49] 49,49 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.977431
hs_5
mult_heuristic
[ 52, 91, 59, 13 ]
36
[ "52/13=4", "91-59=32", "4+32=36" ]
Current State: 36:[52, 91, 59, 13], Operations: [] Exploring Operation: 52/13=4, Resulting Numbers: [91, 59, 4] Generated Node #2: [91, 59, 4] from Operation: 52/13=4 Current State: 36:[91, 59, 4], Operations: ['52/13=4'] Exploring Operation: 91-59=32, Resulting Numbers: [4, 32] Generated Node #3: [4, 32] from Operation: 91-59=32 Current State: 36:[4, 32], Operations: ['52/13=4', '91-59=32'] Exploring Operation: 4+32=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[52, 91, 59, 13], Operations: [] Exploring Operation: 91-59=32, Resulting Numbers: [52, 13, 32] Generated Node #0,0: 36:[52, 13, 32] Operation: 91-59=32 Exploring Operation: 91-52=39, Resulting Numbers: [59, 13, 39] Generated Node #0,1: 36:[59, 13, 39] Operation: 91-52=39 Moving to Node #0,0 Current State: 36:[52, 13, 32], Operations: ['91-59=32'] Exploring Operation: 52-32=20, Resulting Numbers: [13, 20] Generated Node #0,0,0: 36:[13, 20] Operation: 52-32=20 Exploring Operation: 52/13=4, Resulting Numbers: [32, 4] Generated Node #0,0,1: 36:[32, 4] Operation: 52/13=4 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 36:[13, 20], Operations: ['91-59=32', '52-32=20'] Exploring Operation: 13+20=33, Resulting Numbers: [33] 33,36 unequal: No Solution Exploring Operation: 20-13=7, Resulting Numbers: [7] 7,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 36:[32, 4], Operations: ['91-59=32', '52/13=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Moving to Node #0 Current State: 36:[52, 91, 59, 13], Operations: [] Exploring Operation: 91-59=32, Resulting Numbers: [52, 13, 32] Generated Node #0,0: 36:[52, 13, 32] Operation: 91-59=32 Moving to Node #0,0 Current State: 36:[52, 13, 32], Operations: ['91-59=32'] Exploring Operation: 52/13=4, Resulting Numbers: [32, 4] Generated Node #0,0,1: 36:[32, 4] Operation: 52/13=4 Moving to Node #0,0,1 Current State: 36:[32, 4], Operations: ['91-59=32', '52/13=4'] Exploring Operation: 32+4=36, Resulting Numbers: [36] 36,36 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 44, 67, 3, 46 ]
35
[ "46-44=2", "67+3=70", "70/2=35" ]
Current State: 35:[44, 67, 3, 46], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [67, 3, 2] Generated Node #2: [67, 3, 2] from Operation: 46-44=2 Current State: 35:[67, 3, 2], Operations: ['46-44=2'] Exploring Operation: 67+3=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 67+3=70 Current State: 35:[2, 70], Operations: ['46-44=2', '67+3=70'] Exploring Operation: 70/2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
Current State: 35:[44, 67, 3, 46], Operations: [] Exploring Operation: 67-44=23, Resulting Numbers: [3, 46, 23] Generated Node #0,0: 35:[3, 46, 23] Operation: 67-44=23 Exploring Operation: 67-46=21, Resulting Numbers: [44, 3, 21] Generated Node #0,1: 35:[44, 3, 21] Operation: 67-46=21 Exploring Operation: 46-44=2, Resulting Numbers: [67, 3, 2] Generated Node #0,2: 35:[67, 3, 2] Operation: 46-44=2 Moving to Node #0,0 Current State: 35:[3, 46, 23], Operations: ['67-44=23'] Exploring Operation: 46-3=43, Resulting Numbers: [23, 43] Generated Node #0,0,0: 35:[23, 43] Operation: 46-3=43 Exploring Operation: 46/23=2, Resulting Numbers: [3, 2] Generated Node #0,0,1: 35:[3, 2] Operation: 46/23=2 Exploring Operation: 46-23=23, Resulting Numbers: [3, 23] Generated Node #0,0,2: 35:[3, 23] Operation: 46-23=23 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 35:[3, 2], Operations: ['67-44=23', '46/23=2'] Exploring Operation: 3+2=5, Resulting Numbers: [5] 5,35 unequal: No Solution Exploring Operation: 3-2=1, Resulting Numbers: [1] 1,35 unequal: No Solution Exploring Operation: 3*2=6, Resulting Numbers: [6] 6,35 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 #0,0,2 Current State: 35:[3, 23], Operations: ['67-44=23', '46-23=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,35 unequal: No Solution Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,35 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,35 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 #0,0,0 Current State: 35:[23, 43], Operations: ['67-44=23', '46-3=43'] Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,35 unequal: No Solution Exploring Operation: 23+43=66, Resulting Numbers: [66] 66,35 unequal: No Solution Exploring Operation: 23*43=989, Resulting Numbers: [989] 989,35 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: 35:[44, 3, 21], Operations: ['67-46=21'] Exploring Operation: 44-21=23, Resulting Numbers: [3, 23] Generated Node #0,1,0: 35:[3, 23] Operation: 44-21=23 Exploring Operation: 44-3=41, Resulting Numbers: [21, 41] Generated Node #0,1,1: 35:[21, 41] Operation: 44-3=41 Exploring Operation: 21/3=7, Resulting Numbers: [44, 7] Generated Node #0,1,2: 35:[44, 7] Operation: 21/3=7 Moving to Node #0,2 Current State: 35:[67, 3, 2], Operations: ['46-44=2'] Exploring Operation: 3+2=5, Resulting Numbers: [67, 5] Generated Node #0,2,0: 35:[67, 5] Operation: 3+2=5 Exploring Operation: 67-3=64, Resulting Numbers: [2, 64] Generated Node #0,2,1: 35:[2, 64] Operation: 67-3=64 Exploring Operation: 67-2=65, Resulting Numbers: [3, 65] Generated Node #0,2,2: 35:[3, 65] Operation: 67-2=65 Moving to Node #0,1,2 Current State: 35:[44, 7], Operations: ['67-46=21', '21/3=7'] Exploring Operation: 44-7=37, Resulting Numbers: [37] 37,35 unequal: No Solution Exploring Operation: 44+7=51, Resulting Numbers: [51] 51,35 unequal: No Solution Exploring Operation: 44*7=308, Resulting Numbers: [308] 308,35 unequal: No Solution Moving to Node #0,1,0 Current State: 35:[3, 23], Operations: ['67-46=21', '44-21=23'] Exploring Operation: 3*23=69, Resulting Numbers: [69] 69,35 unequal: No Solution Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,35 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,35 unequal: No Solution Moving to Node #0,1,1 Current State: 35:[21, 41], Operations: ['67-46=21', '44-3=41'] Exploring Operation: 21+41=62, Resulting Numbers: [62] 62,35 unequal: No Solution Exploring Operation: 21*41=861, Resulting Numbers: [861] 861,35 unequal: No Solution Exploring Operation: 41-21=20, Resulting Numbers: [20] 20,35 unequal: No Solution Moving to Node #0,2,2 Current State: 35:[3, 65], Operations: ['46-44=2', '67-2=65'] Exploring Operation: 3+65=68, Resulting Numbers: [68] 68,35 unequal: No Solution Exploring Operation: 65-3=62, Resulting Numbers: [62] 62,35 unequal: No Solution Exploring Operation: 3*65=195, Resulting Numbers: [195] 195,35 unequal: No Solution Moving to Node #0,2,1 Current State: 35:[2, 64], Operations: ['46-44=2', '67-3=64'] Exploring Operation: 64-2=62, Resulting Numbers: [62] 62,35 unequal: No Solution Exploring Operation: 2+64=66, Resulting Numbers: [66] 66,35 unequal: No Solution Exploring Operation: 64/2=32, Resulting Numbers: [32] 32,35 unequal: No Solution Moving to Node #0,2,0 Current State: 35:[67, 5], Operations: ['46-44=2', '3+2=5'] Exploring Operation: 67+5=72, Resulting Numbers: [72] 72,35 unequal: No Solution Exploring Operation: 67-5=62, Resulting Numbers: [62] 62,35 unequal: No Solution Exploring Operation: 67*5=335, Resulting Numbers: [335] 335,35 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 93, 20, 21, 17 ]
88
[ "21-17=4", "20/4=5", "93-5=88" ]
Current State: 88:[93, 20, 21, 17], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [93, 20, 4] Generated Node #2: [93, 20, 4] from Operation: 21-17=4 Current State: 88:[93, 20, 4], Operations: ['21-17=4'] Exploring Operation: 20/4=5, Resulting Numbers: [93, 5] Generated Node #3: [93, 5] from Operation: 20/4=5 Current State: 88:[93, 5], Operations: ['21-17=4', '20/4=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[93, 20, 21, 17], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [93, 20, 4] Generated Node #0,0: 88:[93, 20, 4] Operation: 21-17=4 Exploring Operation: 21-20=1, Resulting Numbers: [93, 17, 1] Generated Node #0,1: 88:[93, 17, 1] Operation: 21-20=1 Exploring Operation: 20-17=3, Resulting Numbers: [93, 21, 3] Generated Node #0,2: 88:[93, 21, 3] Operation: 20-17=3 Moving to Node #0,0 Current State: 88:[93, 20, 4], Operations: ['21-17=4'] Exploring Operation: 20+4=24, Resulting Numbers: [93, 24] Generated Node #0,0,0: 88:[93, 24] Operation: 20+4=24 Exploring Operation: 93-4=89, Resulting Numbers: [20, 89] Generated Node #0,0,1: 88:[20, 89] Operation: 93-4=89 Exploring Operation: 20/4=5, Resulting Numbers: [93, 5] Generated Node #0,0,2: 88:[93, 5] Operation: 20/4=5 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 88:[20, 89], Operations: ['21-17=4', '93-4=89'] Exploring Operation: 20*89=1780, Resulting Numbers: [1780] 1780,88 unequal: No Solution Exploring Operation: 89-20=69, Resulting Numbers: [69] 69,88 unequal: No Solution Exploring Operation: 20+89=109, Resulting Numbers: [109] 109,88 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 #0,0,2 Current State: 88:[93, 5], Operations: ['21-17=4', '20/4=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[93, 20, 21, 17], Operations: [] Exploring Operation: 21-17=4, Resulting Numbers: [93, 20, 4] Generated Node #0,0: 88:[93, 20, 4] Operation: 21-17=4 Moving to Node #0,0 Current State: 88:[93, 20, 4], Operations: ['21-17=4'] Exploring Operation: 20/4=5, Resulting Numbers: [93, 5] Generated Node #0,0,2: 88:[93, 5] Operation: 20/4=5 Moving to Node #0,0,2 Current State: 88:[93, 5], Operations: ['21-17=4', '20/4=5'] Exploring Operation: 93-5=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_3
mult_heuristic
[ 34, 73, 34, 99 ]
99
[ "34-34=0", "73*0=0", "99+0=99" ]
Current State: 99:[34, 73, 34, 99], Operations: [] Exploring Operation: 34-34=0, Resulting Numbers: [73, 99, 0] Generated Node #2: [73, 99, 0] from Operation: 34-34=0 Current State: 99:[73, 99, 0], Operations: ['34-34=0'] Exploring Operation: 73*0=0, Resulting Numbers: [99, 0] Generated Node #3: [99, 0] from Operation: 73*0=0 Current State: 99:[99, 0], Operations: ['34-34=0', '73*0=0'] Exploring Operation: 99+0=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[34, 73, 34, 99], Operations: [] Exploring Operation: 73-34=39, Resulting Numbers: [34, 99, 39] Generated Node #0,0: 99:[34, 99, 39] Operation: 73-34=39 Start Sub Search at level 1: Moving to Node #0,0 Current State: 99:[34, 99, 39], Operations: ['73-34=39'] Exploring Operation: 39-34=5, Resulting Numbers: [99, 5] Generated Node #0,0,0: 99:[99, 5] Operation: 39-34=5 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 99:[99, 5], Operations: ['73-34=39', '39-34=5'] Exploring Operation: 99+5=104, Resulting Numbers: [104] 104,99 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 50, 29, 44, 3 ]
26
[ "50-29=21", "44+3=47", "47-21=26" ]
Current State: 26:[50, 29, 44, 3], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [44, 3, 21] Generated Node #2: [44, 3, 21] from Operation: 50-29=21 Current State: 26:[44, 3, 21], Operations: ['50-29=21'] Exploring Operation: 44+3=47, Resulting Numbers: [21, 47] Generated Node #3: [21, 47] from Operation: 44+3=47 Current State: 26:[21, 47], Operations: ['50-29=21', '44+3=47'] Exploring Operation: 47-21=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
Current State: 26:[50, 29, 44, 3], Operations: [] Exploring Operation: 50-29=21, Resulting Numbers: [44, 3, 21] Generated Node #0,0: 26:[44, 3, 21] Operation: 50-29=21 Exploring Operation: 44-29=15, Resulting Numbers: [50, 3, 15] Generated Node #0,1: 26:[50, 3, 15] Operation: 44-29=15 Exploring Operation: 50-44=6, Resulting Numbers: [29, 3, 6] Generated Node #0,2: 26:[29, 3, 6] Operation: 50-44=6 Moving to Node #0,2 Current State: 26:[29, 3, 6], Operations: ['50-44=6'] Exploring Operation: 6/3=2, Resulting Numbers: [29, 2] Generated Node #0,2,0: 26:[29, 2] Operation: 6/3=2 Exploring Operation: 29-3=26, Resulting Numbers: [6, 26] Generated Node #0,2,1: 26:[6, 26] Operation: 29-3=26 Exploring Operation: 29-6=23, Resulting Numbers: [3, 23] Generated Node #0,2,2: 26:[3, 23] Operation: 29-6=23 Moving to Node #0,0 Current State: 26:[44, 3, 21], Operations: ['50-29=21'] Exploring Operation: 44-3=41, Resulting Numbers: [21, 41] Generated Node #0,0,0: 26:[21, 41] Operation: 44-3=41 Exploring Operation: 3+21=24, Resulting Numbers: [44, 24] Generated Node #0,0,1: 26:[44, 24] Operation: 3+21=24 Exploring Operation: 44-21=23, Resulting Numbers: [3, 23] Generated Node #0,0,2: 26:[3, 23] Operation: 44-21=23 Moving to Node #0,1 Current State: 26:[50, 3, 15], Operations: ['44-29=15'] Exploring Operation: 15-3=12, Resulting Numbers: [50, 12] Generated Node #0,1,0: 26:[50, 12] Operation: 15-3=12 Exploring Operation: 50-3=47, Resulting Numbers: [15, 47] Generated Node #0,1,1: 26:[15, 47] Operation: 50-3=47 Exploring Operation: 50-15=35, Resulting Numbers: [3, 35] Generated Node #0,1,2: 26:[3, 35] Operation: 50-15=35 Moving to Node #0,2,0 Current State: 26:[29, 2], Operations: ['50-44=6', '6/3=2'] Exploring Operation: 29*2=58, Resulting Numbers: [58] 58,26 unequal: No Solution Exploring Operation: 29-2=27, Resulting Numbers: [27] 27,26 unequal: No Solution Exploring Operation: 29+2=31, Resulting Numbers: [31] 31,26 unequal: No Solution Moving to Node #0,2,2 Current State: 26:[3, 23], Operations: ['50-44=6', '29-6=23'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,26 unequal: No Solution Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached Moving to Node #0 Current State: 26:[50, 29, 44, 3], Operations: [] Exploring Operation: 50-44=6, Resulting Numbers: [29, 3, 6] Generated Node #0,2: 26:[29, 3, 6] Operation: 50-44=6 Moving to Node #0,2 Current State: 26:[29, 3, 6], Operations: ['50-44=6'] Exploring Operation: 29-6=23, Resulting Numbers: [3, 23] Generated Node #0,2,2: 26:[3, 23] Operation: 29-6=23 Moving to Node #0,2,2 Current State: 26:[3, 23], Operations: ['50-44=6', '29-6=23'] Exploring Operation: 3+23=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
0.981771
hs_3
mult_heuristic
[ 16, 6, 72, 10 ]
17
[ "6*72=432", "432/16=27", "27-10=17" ]
Current State: 17:[16, 6, 72, 10], Operations: [] Exploring Operation: 6*72=432, Resulting Numbers: [16, 10, 432] Generated Node #2: [16, 10, 432] from Operation: 6*72=432 Current State: 17:[16, 10, 432], Operations: ['6*72=432'] Exploring Operation: 432/16=27, Resulting Numbers: [10, 27] Generated Node #3: [10, 27] from Operation: 432/16=27 Current State: 17:[10, 27], Operations: ['6*72=432', '432/16=27'] Exploring Operation: 27-10=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[16, 6, 72, 10], Operations: [] Exploring Operation: 72/6=12, Resulting Numbers: [16, 10, 12] Generated Node #0,0: 17:[16, 10, 12] Operation: 72/6=12 Exploring Operation: 72-16=56, Resulting Numbers: [6, 10, 56] Generated Node #0,1: 17:[6, 10, 56] Operation: 72-16=56 Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[16, 10, 12], Operations: ['72/6=12'] Exploring Operation: 16+10=26, Resulting Numbers: [12, 26] Generated Node #0,0,0: 17:[12, 26] Operation: 16+10=26 Exploring Operation: 10+12=22, Resulting Numbers: [16, 22] Generated Node #0,0,1: 17:[16, 22] Operation: 10+12=22 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 17:[16, 22], Operations: ['72/6=12', '10+12=22'] Exploring Operation: 16+22=38, Resulting Numbers: [38] 38,17 unequal: No Solution Exploring Operation: 22-16=6, Resulting Numbers: [6] 6,17 unequal: No Solution No 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: 17:[12, 26], Operations: ['72/6=12', '16+10=26'] Exploring Operation: 12+26=38, Resulting Numbers: [38] 38,17 unequal: No Solution Exploring Operation: 26-12=14, Resulting Numbers: [14] 14,17 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: 17:[6, 10, 56], Operations: ['72-16=56'] Exploring Operation: 56-6=50, Resulting Numbers: [10, 50] Generated Node #0,1,0: 17:[10, 50] Operation: 56-6=50 Exploring Operation: 6+10=16, Resulting Numbers: [56, 16] Generated Node #0,1,1: 17:[56, 16] Operation: 6+10=16 Moving to Node #0,1,0 Current State: 17:[10, 50], Operations: ['72-16=56', '56-6=50'] Exploring Operation: 50/10=5, Resulting Numbers: [5] 5,17 unequal: No Solution Exploring Operation: 50-10=40, Resulting Numbers: [40] 40,17 unequal: No Solution Moving to Node #0,1,1 Current State: 17:[56, 16], Operations: ['72-16=56', '6+10=16'] Exploring Operation: 56+16=72, Resulting Numbers: [72] 72,17 unequal: No Solution Exploring Operation: 56-16=40, Resulting Numbers: [40] 40,17 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
[ 46, 84, 3, 77 ]
95
[ "46+77=123", "84/3=28", "123-28=95" ]
Current State: 95:[46, 84, 3, 77], Operations: [] Exploring Operation: 46+77=123, Resulting Numbers: [84, 3, 123] Generated Node #2: [84, 3, 123] from Operation: 46+77=123 Current State: 95:[84, 3, 123], Operations: ['46+77=123'] Exploring Operation: 84/3=28, Resulting Numbers: [123, 28] Generated Node #3: [123, 28] from Operation: 84/3=28 Current State: 95:[123, 28], Operations: ['46+77=123', '84/3=28'] Exploring Operation: 123-28=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
Current State: 95:[46, 84, 3, 77], Operations: [] Exploring Operation: 84-77=7, Resulting Numbers: [46, 3, 7] Generated Node #0,0: 95:[46, 3, 7] Operation: 84-77=7 Exploring Operation: 77-46=31, Resulting Numbers: [84, 3, 31] Generated Node #0,1: 95:[84, 3, 31] Operation: 77-46=31 Exploring Operation: 84-46=38, Resulting Numbers: [3, 77, 38] Generated Node #0,2: 95:[3, 77, 38] Operation: 84-46=38 Start Sub Search at level 1: Moving to Node #0,1 Current State: 95:[84, 3, 31], Operations: ['77-46=31'] Exploring Operation: 3*31=93, Resulting Numbers: [84, 93] Generated Node #0,1,0: 95:[84, 93] Operation: 3*31=93 Exploring Operation: 31-3=28, Resulting Numbers: [84, 28] Generated Node #0,1,1: 95:[84, 28] Operation: 31-3=28 Exploring Operation: 84+3=87, Resulting Numbers: [31, 87] Generated Node #0,1,2: 95:[31, 87] Operation: 84+3=87 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 95:[84, 93], Operations: ['77-46=31', '3*31=93'] Exploring Operation: 84*93=7812, Resulting Numbers: [7812] 7812,95 unequal: No Solution Exploring Operation: 84+93=177, Resulting Numbers: [177] 177,95 unequal: No Solution Exploring Operation: 93-84=9, Resulting Numbers: [9] 9,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 95:[84, 28], Operations: ['77-46=31', '31-3=28'] Exploring Operation: 84/28=3, Resulting Numbers: [3] 3,95 unequal: No Solution Exploring Operation: 84+28=112, Resulting Numbers: [112] 112,95 unequal: No Solution Exploring Operation: 84-28=56, Resulting Numbers: [56] 56,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 95:[31, 87], Operations: ['77-46=31', '84+3=87'] Exploring Operation: 31*87=2697, Resulting Numbers: [2697] 2697,95 unequal: No Solution Exploring Operation: 87-31=56, Resulting Numbers: [56] 56,95 unequal: No Solution Exploring Operation: 31+87=118, Resulting Numbers: [118] 118,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 95:[46, 3, 7], Operations: ['84-77=7'] Exploring Operation: 46-7=39, Resulting Numbers: [3, 39] Generated Node #0,0,0: 95:[3, 39] Operation: 46-7=39 Exploring Operation: 46-3=43, Resulting Numbers: [7, 43] Generated Node #0,0,1: 95:[7, 43] Operation: 46-3=43 Exploring Operation: 7-3=4, Resulting Numbers: [46, 4] Generated Node #0,0,2: 95:[46, 4] Operation: 7-3=4 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 95:[3, 39], Operations: ['84-77=7', '46-7=39'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,95 unequal: No Solution Exploring Operation: 3*39=117, Resulting Numbers: [117] 117,95 unequal: No Solution Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 95:[7, 43], Operations: ['84-77=7', '46-3=43'] Exploring Operation: 43-7=36, Resulting Numbers: [36] 36,95 unequal: No Solution Exploring Operation: 7+43=50, Resulting Numbers: [50] 50,95 unequal: No Solution Exploring Operation: 7*43=301, Resulting Numbers: [301] 301,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 95:[46, 4], Operations: ['84-77=7', '7-3=4'] Exploring Operation: 46-4=42, Resulting Numbers: [42] 42,95 unequal: No Solution Exploring Operation: 46+4=50, Resulting Numbers: [50] 50,95 unequal: No Solution Exploring Operation: 46*4=184, Resulting Numbers: [184] 184,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 95:[3, 77, 38], Operations: ['84-46=38'] Exploring Operation: 77+38=115, Resulting Numbers: [3, 115] Generated Node #0,2,0: 95:[3, 115] Operation: 77+38=115 Exploring Operation: 3+77=80, Resulting Numbers: [38, 80] Generated Node #0,2,1: 95:[38, 80] Operation: 3+77=80 Exploring Operation: 77-38=39, Resulting Numbers: [3, 39] Generated Node #0,2,2: 95:[3, 39] Operation: 77-38=39 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 95:[3, 115], Operations: ['84-46=38', '77+38=115'] Exploring Operation: 3+115=118, Resulting Numbers: [118] 118,95 unequal: No Solution Exploring Operation: 115-3=112, Resulting Numbers: [112] 112,95 unequal: No Solution Exploring Operation: 3*115=345, Resulting Numbers: [345] 345,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 95:[3, 39], Operations: ['84-46=38', '77-38=39'] Exploring Operation: 3*39=117, Resulting Numbers: [117] 117,95 unequal: No Solution Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,95 unequal: No Solution Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 95:[38, 80], Operations: ['84-46=38', '3+77=80'] Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,95 unequal: No Solution Exploring Operation: 38+80=118, Resulting Numbers: [118] 118,95 unequal: No Solution Exploring Operation: 38*80=3040, Resulting Numbers: [3040] 3040,95 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 35, 77, 54, 32 ]
42
[ "35*54=1890", "77-32=45", "1890/45=42" ]
Current State: 42:[35, 77, 54, 32], Operations: [] Exploring Operation: 35*54=1890, Resulting Numbers: [77, 32, 1890] Generated Node #2: [77, 32, 1890] from Operation: 35*54=1890 Current State: 42:[77, 32, 1890], Operations: ['35*54=1890'] Exploring Operation: 77-32=45, Resulting Numbers: [1890, 45] Generated Node #3: [1890, 45] from Operation: 77-32=45 Current State: 42:[1890, 45], Operations: ['35*54=1890', '77-32=45'] Exploring Operation: 1890/45=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[35, 77, 54, 32], Operations: [] Exploring Operation: 54-35=19, Resulting Numbers: [77, 32, 19] Generated Node #0,0: 42:[77, 32, 19] Operation: 54-35=19 Exploring Operation: 54-32=22, Resulting Numbers: [35, 77, 22] Generated Node #0,1: 42:[35, 77, 22] Operation: 54-32=22 Exploring Operation: 77-35=42, Resulting Numbers: [54, 32, 42] Generated Node #0,2: 42:[54, 32, 42] Operation: 77-35=42 Exploring Operation: 77-54=23, Resulting Numbers: [35, 32, 23] Generated Node #0,3: 42:[35, 32, 23] Operation: 77-54=23 Exploring Operation: 77-32=45, Resulting Numbers: [35, 54, 45] Generated Node #0,4: 42:[35, 54, 45] Operation: 77-32=45 Start Sub Search at level 1: Moving to Node #0,3 Current State: 42:[35, 32, 23], Operations: ['77-54=23'] Exploring Operation: 35+23=58, Resulting Numbers: [32, 58] Generated Node #0,3,0: 42:[32, 58] Operation: 35+23=58 Exploring Operation: 35-23=12, Resulting Numbers: [32, 12] Generated Node #0,3,1: 42:[32, 12] Operation: 35-23=12 Exploring Operation: 32+23=55, Resulting Numbers: [35, 55] Generated Node #0,3,2: 42:[35, 55] Operation: 32+23=55 Exploring Operation: 32-23=9, Resulting Numbers: [35, 9] Generated Node #0,3,3: 42:[35, 9] Operation: 32-23=9 Exploring Operation: 35-32=3, Resulting Numbers: [23, 3] Generated Node #0,3,4: 42:[23, 3] Operation: 35-32=3 Moving to Node #0,3,4 Current State: 42:[23, 3], Operations: ['77-54=23', '35-32=3'] Exploring Operation: 23-3=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 23*3=69, Resulting Numbers: [69] 69,42 unequal: No Solution Exploring Operation: 23+3=26, Resulting Numbers: [26] 26,42 unequal: No Solution Moving to Node #0,3,3 Current State: 42:[35, 9], Operations: ['77-54=23', '32-23=9'] Exploring Operation: 35*9=315, Resulting Numbers: [315] 315,42 unequal: No Solution Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,42 unequal: No Solution Moving to Node #0,3,1 Current State: 42:[32, 12], Operations: ['77-54=23', '35-23=12'] Exploring Operation: 32*12=384, Resulting Numbers: [384] 384,42 unequal: No Solution Exploring Operation: 32+12=44, Resulting Numbers: [44] 44,42 unequal: No Solution Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,42 unequal: No Solution Moving to Node #0,3,2 Current State: 42:[35, 55], Operations: ['77-54=23', '32+23=55'] Exploring Operation: 35*55=1925, Resulting Numbers: [1925] 1925,42 unequal: No Solution Exploring Operation: 35+55=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,42 unequal: No Solution Moving to Node #0,3,0 Current State: 42:[32, 58], Operations: ['77-54=23', '35+23=58'] Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 32+58=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 32*58=1856, Resulting Numbers: [1856] 1856,42 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 Current State: 42:[54, 32, 42], Operations: ['77-35=42'] Exploring Operation: 54+32=86, Resulting Numbers: [42, 86] Generated Node #0,2,0: 42:[42, 86] Operation: 54+32=86 Exploring Operation: 32+42=74, Resulting Numbers: [54, 74] Generated Node #0,2,1: 42:[54, 74] Operation: 32+42=74 Exploring Operation: 42-32=10, Resulting Numbers: [54, 10] Generated Node #0,2,2: 42:[54, 10] Operation: 42-32=10 Exploring Operation: 54-32=22, Resulting Numbers: [42, 22] Generated Node #0,2,3: 42:[42, 22] Operation: 54-32=22 Exploring Operation: 54-42=12, Resulting Numbers: [32, 12] Generated Node #0,2,4: 42:[32, 12] Operation: 54-42=12 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 42:[42, 22], Operations: ['77-35=42', '54-32=22'] Exploring Operation: 42*22=924, Resulting Numbers: [924] 924,42 unequal: No Solution Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 42+22=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 42:[32, 12], Operations: ['77-35=42', '54-42=12'] Exploring Operation: 32-12=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 32*12=384, Resulting Numbers: [384] 384,42 unequal: No Solution Exploring Operation: 32+12=44, Resulting Numbers: [44] 44,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 42:[54, 10], Operations: ['77-35=42', '42-32=10'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,42 unequal: No Solution Exploring Operation: 54*10=540, Resulting Numbers: [540] 540,42 unequal: No Solution Exploring Operation: 54+10=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 42:[42, 86], Operations: ['77-35=42', '54+32=86'] Exploring Operation: 42*86=3612, Resulting Numbers: [3612] 3612,42 unequal: No Solution Exploring Operation: 42+86=128, Resulting Numbers: [128] 128,42 unequal: No Solution Exploring Operation: 86-42=44, Resulting Numbers: [44] 44,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 42:[54, 74], Operations: ['77-35=42', '32+42=74'] Exploring Operation: 74-54=20, Resulting Numbers: [20] 20,42 unequal: No Solution Exploring Operation: 54*74=3996, Resulting Numbers: [3996] 3996,42 unequal: No Solution Exploring Operation: 54+74=128, Resulting Numbers: [128] 128,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 42:[35, 54, 45], Operations: ['77-32=45'] Exploring Operation: 45-35=10, Resulting Numbers: [54, 10] Generated Node #0,4,0: 42:[54, 10] Operation: 45-35=10 Exploring Operation: 54-45=9, Resulting Numbers: [35, 9] Generated Node #0,4,1: 42:[35, 9] Operation: 54-45=9 Exploring Operation: 35+45=80, Resulting Numbers: [54, 80] Generated Node #0,4,2: 42:[54, 80] Operation: 35+45=80 Exploring Operation: 35+54=89, Resulting Numbers: [45, 89] Generated Node #0,4,3: 42:[45, 89] Operation: 35+54=89 Exploring Operation: 54-35=19, Resulting Numbers: [45, 19] Generated Node #0,4,4: 42:[45, 19] Operation: 54-35=19 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 42:[45, 19], Operations: ['77-32=45', '54-35=19'] Exploring Operation: 45-19=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 45*19=855, Resulting Numbers: [855] 855,42 unequal: No Solution Exploring Operation: 45+19=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 42:[35, 9], Operations: ['77-32=45', '54-45=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,42 unequal: No Solution Exploring Operation: 35*9=315, Resulting Numbers: [315] 315,42 unequal: No Solution Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 42:[54, 10], Operations: ['77-32=45', '45-35=10'] Exploring Operation: 54-10=44, Resulting Numbers: [44] 44,42 unequal: No Solution Exploring Operation: 54+10=64, Resulting Numbers: [64] 64,42 unequal: No Solution Exploring Operation: 54*10=540, Resulting Numbers: [540] 540,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 42:[54, 80], Operations: ['77-32=45', '35+45=80'] Exploring Operation: 54+80=134, Resulting Numbers: [134] 134,42 unequal: No Solution Exploring Operation: 54*80=4320, Resulting Numbers: [4320] 4320,42 unequal: No Solution Exploring Operation: 80-54=26, Resulting Numbers: [26] 26,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 42:[45, 89], Operations: ['77-32=45', '35+54=89'] Exploring Operation: 45+89=134, Resulting Numbers: [134] 134,42 unequal: No Solution Exploring Operation: 89-45=44, Resulting Numbers: [44] 44,42 unequal: No Solution Exploring Operation: 45*89=4005, Resulting Numbers: [4005] 4005,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 42:[35, 77, 22], Operations: ['54-32=22'] Exploring Operation: 77+22=99, Resulting Numbers: [35, 99] Generated Node #0,1,0: 42:[35, 99] Operation: 77+22=99 Exploring Operation: 35+22=57, Resulting Numbers: [77, 57] Generated Node #0,1,1: 42:[77, 57] Operation: 35+22=57 Exploring Operation: 77-35=42, Resulting Numbers: [22, 42] Generated Node #0,1,2: 42:[22, 42] Operation: 77-35=42 Exploring Operation: 35-22=13, Resulting Numbers: [77, 13] Generated Node #0,1,3: 42:[77, 13] Operation: 35-22=13 Exploring Operation: 77-22=55, Resulting Numbers: [35, 55] Generated Node #0,1,4: 42:[35, 55] Operation: 77-22=55 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 42:[22, 42], Operations: ['54-32=22', '77-35=42'] Exploring Operation: 22+42=64, Resulting Numbers: [64] 64,42 unequal: No Solution Exploring Operation: 22*42=924, Resulting Numbers: [924] 924,42 unequal: No Solution Exploring Operation: 42-22=20, Resulting Numbers: [20] 20,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 42:[35, 55], Operations: ['54-32=22', '77-22=55'] Exploring Operation: 35*55=1925, Resulting Numbers: [1925] 1925,42 unequal: No Solution Exploring Operation: 35+55=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 42:[77, 13], Operations: ['54-32=22', '35-22=13'] Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 77*13=1001, Resulting Numbers: [1001] 1001,42 unequal: No Solution Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 42:[77, 57], Operations: ['54-32=22', '35+22=57'] Exploring Operation: 77+57=134, Resulting Numbers: [134] 134,42 unequal: No Solution Exploring Operation: 77*57=4389, Resulting Numbers: [4389] 4389,42 unequal: No Solution Exploring Operation: 77-57=20, Resulting Numbers: [20] 20,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 42:[35, 99], Operations: ['54-32=22', '77+22=99'] Exploring Operation: 35*99=3465, Resulting Numbers: [3465] 3465,42 unequal: No Solution Exploring Operation: 35+99=134, Resulting Numbers: [134] 134,42 unequal: No Solution Exploring Operation: 99-35=64, Resulting Numbers: [64] 64,42 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 42:[77, 32, 19], Operations: ['54-35=19'] Exploring Operation: 32-19=13, Resulting Numbers: [77, 13] Generated Node #0,0,0: 42:[77, 13] Operation: 32-19=13 Exploring Operation: 32+19=51, Resulting Numbers: [77, 51] Generated Node #0,0,1: 42:[77, 51] Operation: 32+19=51 Exploring Operation: 77+19=96, Resulting Numbers: [32, 96] Generated Node #0,0,2: 42:[32, 96] Operation: 77+19=96 Exploring Operation: 77-19=58, Resulting Numbers: [32, 58] Generated Node #0,0,3: 42:[32, 58] Operation: 77-19=58 Exploring Operation: 77-32=45, Resulting Numbers: [19, 45] Generated Node #0,0,4: 42:[19, 45] Operation: 77-32=45 Moving to Node #0,0,4 Current State: 42:[19, 45], Operations: ['54-35=19', '77-32=45'] Exploring Operation: 19*45=855, Resulting Numbers: [855] 855,42 unequal: No Solution Exploring Operation: 45-19=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 19+45=64, Resulting Numbers: [64] 64,42 unequal: No Solution Moving to Node #0,0,3 Current State: 42:[32, 58], Operations: ['54-35=19', '77-19=58'] Exploring Operation: 58-32=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 32+58=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 32*58=1856, Resulting Numbers: [1856] 1856,42 unequal: No Solution Moving to Node #0,0,0 Current State: 42:[77, 13], Operations: ['54-35=19', '32-19=13'] Exploring Operation: 77*13=1001, Resulting Numbers: [1001] 1001,42 unequal: No Solution Exploring Operation: 77+13=90, Resulting Numbers: [90] 90,42 unequal: No Solution Exploring Operation: 77-13=64, Resulting Numbers: [64] 64,42 unequal: No Solution Moving to Node #0,0,1 Current State: 42:[77, 51], Operations: ['54-35=19', '32+19=51'] Exploring Operation: 77-51=26, Resulting Numbers: [26] 26,42 unequal: No Solution Exploring Operation: 77+51=128, Resulting Numbers: [128] 128,42 unequal: No Solution Exploring Operation: 77*51=3927, Resulting Numbers: [3927] 3927,42 unequal: No Solution Moving to Node #0,0,2 Current State: 42:[32, 96], Operations: ['54-35=19', '77+19=96'] Exploring Operation: 32*96=3072, Resulting Numbers: [3072] 3072,42 unequal: No Solution Exploring Operation: 96-32=64, Resulting Numbers: [64] 64,42 unequal: No Solution Exploring Operation: 96/32=3, Resulting Numbers: [3] 3,42 unequal: No Solution Exploring Operation: 32+96=128, Resulting Numbers: [128] 128,42 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
[ 57, 52, 40, 36 ]
50
[ "57*36=2052", "2052-52=2000", "2000/40=50" ]
Current State: 50:[57, 52, 40, 36], Operations: [] Exploring Operation: 57*36=2052, Resulting Numbers: [52, 40, 2052] Generated Node #2: [52, 40, 2052] from Operation: 57*36=2052 Current State: 50:[52, 40, 2052], Operations: ['57*36=2052'] Exploring Operation: 2052-52=2000, Resulting Numbers: [40, 2000] Generated Node #3: [40, 2000] from Operation: 2052-52=2000 Current State: 50:[40, 2000], Operations: ['57*36=2052', '2052-52=2000'] Exploring Operation: 2000/40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
Current State: 50:[57, 52, 40, 36], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [57, 52, 4] Generated Node #0,0: 50:[57, 52, 4] Operation: 40-36=4 Moving to Node #0,0 Current State: 50:[57, 52, 4], Operations: ['40-36=4'] Exploring Operation: 57-52=5, Resulting Numbers: [4, 5] Generated Node #0,0,0: 50:[4, 5] Operation: 57-52=5 Moving to Node #0,0,0 Current State: 50:[4, 5], Operations: ['40-36=4', '57-52=5'] Exploring Operation: 4+5=9, Resulting Numbers: [9] 9,50 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 14, 18, 34, 54 ]
60
[ "34-14=20", "54/18=3", "20*3=60" ]
Current State: 60:[14, 18, 34, 54], Operations: [] Exploring Operation: 34-14=20, Resulting Numbers: [18, 54, 20] Generated Node #2: [18, 54, 20] from Operation: 34-14=20 Current State: 60:[18, 54, 20], Operations: ['34-14=20'] Exploring Operation: 54/18=3, Resulting Numbers: [20, 3] Generated Node #3: [20, 3] from Operation: 54/18=3 Current State: 60:[20, 3], Operations: ['34-14=20', '54/18=3'] Exploring Operation: 20*3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[14, 18, 34, 54], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [14, 34, 3] Generated Node #0,0: 60:[14, 34, 3] Operation: 54/18=3 Exploring Operation: 54-34=20, Resulting Numbers: [14, 18, 20] Generated Node #0,1: 60:[14, 18, 20] Operation: 54-34=20 Start Sub Search at level 1: Moving to Node #0,1 Current State: 60:[14, 18, 20], Operations: ['54-34=20'] Exploring Operation: 20-18=2, Resulting Numbers: [14, 2] Generated Node #0,1,0: 60:[14, 2] Operation: 20-18=2 Exploring Operation: 18-14=4, Resulting Numbers: [20, 4] Generated Node #0,1,1: 60:[20, 4] Operation: 18-14=4 Moving to Node #0,1,1 Current State: 60:[20, 4], Operations: ['54-34=20', '18-14=4'] Exploring Operation: 20/4=5, Resulting Numbers: [5] 5,60 unequal: No Solution Exploring Operation: 20-4=16, Resulting Numbers: [16] 16,60 unequal: No Solution Moving to Node #0,1,0 Current State: 60:[14, 2], Operations: ['54-34=20', '20-18=2'] Exploring Operation: 14+2=16, Resulting Numbers: [16] 16,60 unequal: No Solution Exploring Operation: 14-2=12, Resulting Numbers: [12] 12,60 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 60:[14, 34, 3], Operations: ['54/18=3'] Exploring Operation: 34-3=31, Resulting Numbers: [14, 31] Generated Node #0,0,0: 60:[14, 31] Operation: 34-3=31 Exploring Operation: 34-14=20, Resulting Numbers: [3, 20] Generated Node #0,0,1: 60:[3, 20] Operation: 34-14=20 Moving to Node #0,0,1 Current State: 60:[3, 20], Operations: ['54/18=3', '34-14=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Moving to Node #0 Current State: 60:[14, 18, 34, 54], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [14, 34, 3] Generated Node #0,0: 60:[14, 34, 3] Operation: 54/18=3 Moving to Node #0,0 Current State: 60:[14, 34, 3], Operations: ['54/18=3'] Exploring Operation: 34-14=20, Resulting Numbers: [3, 20] Generated Node #0,0,1: 60:[3, 20] Operation: 34-14=20 Moving to Node #0,0,1 Current State: 60:[3, 20], Operations: ['54/18=3', '34-14=20'] Exploring Operation: 3*20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
sum_heuristic
[ 42, 69, 2, 10 ]
100
[ "42/2=21", "69+10=79", "21+79=100" ]
Current State: 100:[42, 69, 2, 10], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [69, 10, 21] Generated Node #2: [69, 10, 21] from Operation: 42/2=21 Current State: 100:[69, 10, 21], Operations: ['42/2=21'] Exploring Operation: 69+10=79, Resulting Numbers: [21, 79] Generated Node #3: [21, 79] from Operation: 69+10=79 Current State: 100:[21, 79], Operations: ['42/2=21', '69+10=79'] Exploring Operation: 21+79=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[42, 69, 2, 10], Operations: [] Exploring Operation: 42+69=111, Resulting Numbers: [2, 10, 111] Generated Node #0,0: 100:[2, 10, 111] Operation: 42+69=111 Exploring Operation: 42/2=21, Resulting Numbers: [69, 10, 21] Generated Node #0,1: 100:[69, 10, 21] Operation: 42/2=21 Exploring Operation: 69-10=59, Resulting Numbers: [42, 2, 59] Generated Node #0,2: 100:[42, 2, 59] Operation: 69-10=59 Exploring Operation: 42+10=52, Resulting Numbers: [69, 2, 52] Generated Node #0,3: 100:[69, 2, 52] Operation: 42+10=52 Exploring Operation: 69-42=27, Resulting Numbers: [2, 10, 27] Generated Node #0,4: 100:[2, 10, 27] Operation: 69-42=27 Start Sub Search at level 1: Moving to Node #0,4 Current State: 100:[2, 10, 27], Operations: ['69-42=27'] Exploring Operation: 27-2=25, Resulting Numbers: [10, 25] Generated Node #0,4,0: 100:[10, 25] Operation: 27-2=25 Exploring Operation: 2*10=20, Resulting Numbers: [27, 20] Generated Node #0,4,1: 100:[27, 20] Operation: 2*10=20 Exploring Operation: 2+10=12, Resulting Numbers: [27, 12] Generated Node #0,4,2: 100:[27, 12] Operation: 2+10=12 Exploring Operation: 27-10=17, Resulting Numbers: [2, 17] Generated Node #0,4,3: 100:[2, 17] Operation: 27-10=17 Exploring Operation: 10/2=5, Resulting Numbers: [27, 5] Generated Node #0,4,4: 100:[27, 5] Operation: 10/2=5 Moving to Node #0,4,0 Current State: 100:[10, 25], Operations: ['69-42=27', '27-2=25'] Exploring Operation: 10*25=250, Resulting Numbers: [250] 250,100 unequal: No Solution Exploring Operation: 25-10=15, Resulting Numbers: [15] 15,100 unequal: No Solution Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,100 unequal: No Solution Moving to Node #0,4,4 Current State: 100:[27, 5], Operations: ['69-42=27', '10/2=5'] Exploring Operation: 27*5=135, Resulting Numbers: [135] 135,100 unequal: No Solution Exploring Operation: 27-5=22, Resulting Numbers: [22] 22,100 unequal: No Solution Exploring Operation: 27+5=32, Resulting Numbers: [32] 32,100 unequal: No Solution Moving to Node #0,4,1 Current State: 100:[27, 20], Operations: ['69-42=27', '2*10=20'] Exploring Operation: 27-20=7, Resulting Numbers: [7] 7,100 unequal: No Solution Exploring Operation: 27*20=540, Resulting Numbers: [540] 540,100 unequal: No Solution Exploring Operation: 27+20=47, Resulting Numbers: [47] 47,100 unequal: No Solution Moving to Node #0,4,3 Current State: 100:[2, 17], Operations: ['69-42=27', '27-10=17'] Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,100 unequal: No Solution Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,100 unequal: No Solution Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,100 unequal: No Solution Moving to Node #0,4,2 Current State: 100:[27, 12], Operations: ['69-42=27', '2+10=12'] Exploring Operation: 27+12=39, Resulting Numbers: [39] 39,100 unequal: No Solution Exploring Operation: 27*12=324, Resulting Numbers: [324] 324,100 unequal: No Solution Exploring Operation: 27-12=15, Resulting Numbers: [15] 15,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[2, 10, 111], Operations: ['42+69=111'] Exploring Operation: 111-10=101, Resulting Numbers: [2, 101] Generated Node #0,0,0: 100:[2, 101] Operation: 111-10=101 Exploring Operation: 111-2=109, Resulting Numbers: [10, 109] Generated Node #0,0,1: 100:[10, 109] Operation: 111-2=109 Exploring Operation: 10/2=5, Resulting Numbers: [111, 5] Generated Node #0,0,2: 100:[111, 5] Operation: 10/2=5 Exploring Operation: 2*10=20, Resulting Numbers: [111, 20] Generated Node #0,0,3: 100:[111, 20] Operation: 2*10=20 Exploring Operation: 2+10=12, Resulting Numbers: [111, 12] Generated Node #0,0,4: 100:[111, 12] Operation: 2+10=12 Moving to Node #0,0,0 Current State: 100:[2, 101], Operations: ['42+69=111', '111-10=101'] Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,100 unequal: No Solution Exploring Operation: 2*101=202, Resulting Numbers: [202] 202,100 unequal: No Solution Exploring Operation: 2+101=103, Resulting Numbers: [103] 103,100 unequal: No Solution Moving to Node #0,0,1 Current State: 100:[10, 109], Operations: ['42+69=111', '111-2=109'] Exploring Operation: 10*109=1090, Resulting Numbers: [1090] 1090,100 unequal: No Solution Exploring Operation: 10+109=119, Resulting Numbers: [119] 119,100 unequal: No Solution Exploring Operation: 109-10=99, Resulting Numbers: [99] 99,100 unequal: No Solution Moving to Node #0,0,2 Current State: 100:[111, 5], Operations: ['42+69=111', '10/2=5'] Exploring Operation: 111+5=116, Resulting Numbers: [116] 116,100 unequal: No Solution Exploring Operation: 111-5=106, Resulting Numbers: [106] 106,100 unequal: No Solution Exploring Operation: 111*5=555, Resulting Numbers: [555] 555,100 unequal: No Solution Moving to Node #0,0,3 Current State: 100:[111, 20], Operations: ['42+69=111', '2*10=20'] Exploring Operation: 111-20=91, Resulting Numbers: [91] 91,100 unequal: No Solution Exploring Operation: 111*20=2220, Resulting Numbers: [2220] 2220,100 unequal: No Solution Exploring Operation: 111+20=131, Resulting Numbers: [131] 131,100 unequal: No Solution Moving to Node #0,0,4 Current State: 100:[111, 12], Operations: ['42+69=111', '2+10=12'] Exploring Operation: 111+12=123, Resulting Numbers: [123] 123,100 unequal: No Solution Exploring Operation: 111*12=1332, Resulting Numbers: [1332] 1332,100 unequal: No Solution Exploring Operation: 111-12=99, Resulting Numbers: [99] 99,100 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 Current State: 100:[42, 2, 59], Operations: ['69-10=59'] Exploring Operation: 42+59=101, Resulting Numbers: [2, 101] Generated Node #0,2,0: 100:[2, 101] Operation: 42+59=101 Exploring Operation: 59-42=17, Resulting Numbers: [2, 17] Generated Node #0,2,1: 100:[2, 17] Operation: 59-42=17 Exploring Operation: 59-2=57, Resulting Numbers: [42, 57] Generated Node #0,2,2: 100:[42, 57] Operation: 59-2=57 Exploring Operation: 42+2=44, Resulting Numbers: [59, 44] Generated Node #0,2,3: 100:[59, 44] Operation: 42+2=44 Exploring Operation: 42/2=21, Resulting Numbers: [59, 21] Generated Node #0,2,4: 100:[59, 21] Operation: 42/2=21 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 100:[2, 101], Operations: ['69-10=59', '42+59=101'] Exploring Operation: 2+101=103, Resulting Numbers: [103] 103,100 unequal: No Solution Exploring Operation: 101-2=99, Resulting Numbers: [99] 99,100 unequal: No Solution Exploring Operation: 2*101=202, Resulting Numbers: [202] 202,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 100:[2, 17], Operations: ['69-10=59', '59-42=17'] Exploring Operation: 17-2=15, Resulting Numbers: [15] 15,100 unequal: No Solution Exploring Operation: 2*17=34, Resulting Numbers: [34] 34,100 unequal: No Solution Exploring Operation: 2+17=19, Resulting Numbers: [19] 19,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 100:[59, 21], Operations: ['69-10=59', '42/2=21'] Exploring Operation: 59*21=1239, Resulting Numbers: [1239] 1239,100 unequal: No Solution Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,100 unequal: No Solution Exploring Operation: 59+21=80, Resulting Numbers: [80] 80,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 100:[42, 57], Operations: ['69-10=59', '59-2=57'] Exploring Operation: 42+57=99, Resulting Numbers: [99] 99,100 unequal: No Solution Exploring Operation: 57-42=15, Resulting Numbers: [15] 15,100 unequal: No Solution Exploring Operation: 42*57=2394, Resulting Numbers: [2394] 2394,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 100:[59, 44], Operations: ['69-10=59', '42+2=44'] Exploring Operation: 59-44=15, Resulting Numbers: [15] 15,100 unequal: No Solution Exploring Operation: 59+44=103, Resulting Numbers: [103] 103,100 unequal: No Solution Exploring Operation: 59*44=2596, Resulting Numbers: [2596] 2596,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[69, 10, 21], Operations: ['42/2=21'] Exploring Operation: 69-21=48, Resulting Numbers: [10, 48] Generated Node #0,1,0: 100:[10, 48] Operation: 69-21=48 Exploring Operation: 69-10=59, Resulting Numbers: [21, 59] Generated Node #0,1,1: 100:[21, 59] Operation: 69-10=59 Exploring Operation: 21-10=11, Resulting Numbers: [69, 11] Generated Node #0,1,2: 100:[69, 11] Operation: 21-10=11 Exploring Operation: 69+10=79, Resulting Numbers: [21, 79] Generated Node #0,1,3: 100:[21, 79] Operation: 69+10=79 Exploring Operation: 69+21=90, Resulting Numbers: [10, 90] Generated Node #0,1,4: 100:[10, 90] Operation: 69+21=90 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 100:[10, 48], Operations: ['42/2=21', '69-21=48'] Exploring Operation: 10*48=480, Resulting Numbers: [480] 480,100 unequal: No Solution Exploring Operation: 10+48=58, Resulting Numbers: [58] 58,100 unequal: No Solution Exploring Operation: 48-10=38, Resulting Numbers: [38] 38,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 100:[21, 59], Operations: ['42/2=21', '69-10=59'] Exploring Operation: 21+59=80, Resulting Numbers: [80] 80,100 unequal: No Solution Exploring Operation: 59-21=38, Resulting Numbers: [38] 38,100 unequal: No Solution Exploring Operation: 21*59=1239, Resulting Numbers: [1239] 1239,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 100:[10, 90], Operations: ['42/2=21', '69+21=90'] Exploring Operation: 10+90=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[42, 69, 2, 10], Operations: [] Exploring Operation: 42/2=21, Resulting Numbers: [69, 10, 21] Generated Node #0,1: 100:[69, 10, 21] Operation: 42/2=21 Moving to Node #0,1 Current State: 100:[69, 10, 21], Operations: ['42/2=21'] Exploring Operation: 69+21=90, Resulting Numbers: [10, 90] Generated Node #0,1,4: 100:[10, 90] Operation: 69+21=90 Moving to Node #0,1,4 Current State: 100:[10, 90], Operations: ['42/2=21', '69+21=90'] Exploring Operation: 10+90=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.929688
hs_5
mult_heuristic
[ 34, 79, 12, 38 ]
85
[ "34+38=72", "72/12=6", "79+6=85" ]
Current State: 85:[34, 79, 12, 38], Operations: [] Exploring Operation: 34+38=72, Resulting Numbers: [79, 12, 72] Generated Node #2: [79, 12, 72] from Operation: 34+38=72 Current State: 85:[79, 12, 72], Operations: ['34+38=72'] Exploring Operation: 72/12=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 72/12=6 Current State: 85:[79, 6], Operations: ['34+38=72', '72/12=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
Current State: 85:[34, 79, 12, 38], Operations: [] Exploring Operation: 38-34=4, Resulting Numbers: [79, 12, 4] Generated Node #0,0: 85:[79, 12, 4] Operation: 38-34=4 Exploring Operation: 34-12=22, Resulting Numbers: [79, 38, 22] Generated Node #0,1: 85:[79, 38, 22] Operation: 34-12=22 Exploring Operation: 34+38=72, Resulting Numbers: [79, 12, 72] Generated Node #0,2: 85:[79, 12, 72] Operation: 34+38=72 Start Sub Search at level 1: Moving to Node #0,0 Current State: 85:[79, 12, 4], Operations: ['38-34=4'] Exploring Operation: 79+12=91, Resulting Numbers: [4, 91] Generated Node #0,0,0: 85:[4, 91] Operation: 79+12=91 Exploring Operation: 12+4=16, Resulting Numbers: [79, 16] Generated Node #0,0,1: 85:[79, 16] Operation: 12+4=16 Exploring Operation: 79+4=83, Resulting Numbers: [12, 83] Generated Node #0,0,2: 85:[12, 83] Operation: 79+4=83 Moving to Node #0,0,0 Current State: 85:[4, 91], Operations: ['38-34=4', '79+12=91'] Exploring Operation: 91-4=87, Resulting Numbers: [87] 87,85 unequal: No Solution Exploring Operation: 4+91=95, Resulting Numbers: [95] 95,85 unequal: No Solution Exploring Operation: 4*91=364, Resulting Numbers: [364] 364,85 unequal: No Solution Moving to Node #0,0,1 Current State: 85:[79, 16], Operations: ['38-34=4', '12+4=16'] Exploring Operation: 79+16=95, Resulting Numbers: [95] 95,85 unequal: No Solution Exploring Operation: 79-16=63, Resulting Numbers: [63] 63,85 unequal: No Solution Exploring Operation: 79*16=1264, Resulting Numbers: [1264] 1264,85 unequal: No Solution Moving to Node #0,0,2 Current State: 85:[12, 83], Operations: ['38-34=4', '79+4=83'] Exploring Operation: 12+83=95, Resulting Numbers: [95] 95,85 unequal: No Solution Exploring Operation: 12*83=996, Resulting Numbers: [996] 996,85 unequal: No Solution Exploring Operation: 83-12=71, Resulting Numbers: [71] 71,85 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 85:[79, 12, 72], Operations: ['34+38=72'] Exploring Operation: 79-72=7, Resulting Numbers: [12, 7] Generated Node #0,2,0: 85:[12, 7] Operation: 79-72=7 Exploring Operation: 12+72=84, Resulting Numbers: [79, 84] Generated Node #0,2,1: 85:[79, 84] Operation: 12+72=84 Exploring Operation: 72/12=6, Resulting Numbers: [79, 6] Generated Node #0,2,2: 85:[79, 6] Operation: 72/12=6 Moving to Node #0,2,0 Current State: 85:[12, 7], Operations: ['34+38=72', '79-72=7'] Exploring Operation: 12-7=5, Resulting Numbers: [5] 5,85 unequal: No Solution Exploring Operation: 12*7=84, Resulting Numbers: [84] 84,85 unequal: No Solution Exploring Operation: 12+7=19, Resulting Numbers: [19] 19,85 unequal: No Solution Moving to Node #0,2,1 Current State: 85:[79, 84], Operations: ['34+38=72', '12+72=84'] Exploring Operation: 79*84=6636, Resulting Numbers: [6636] 6636,85 unequal: No Solution Exploring Operation: 84-79=5, Resulting Numbers: [5] 5,85 unequal: No Solution Exploring Operation: 79+84=163, Resulting Numbers: [163] 163,85 unequal: No Solution Moving to Node #0,2,2 Current State: 85:[79, 6], Operations: ['34+38=72', '72/12=6'] Exploring Operation: 79*6=474, Resulting Numbers: [474] 474,85 unequal: No Solution Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,85 unequal: No Solution Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Moving to Node #0 Current State: 85:[34, 79, 12, 38], Operations: [] Exploring Operation: 34+38=72, Resulting Numbers: [79, 12, 72] Generated Node #0,2: 85:[79, 12, 72] Operation: 34+38=72 Moving to Node #0,2 Current State: 85:[79, 12, 72], Operations: ['34+38=72'] Exploring Operation: 72/12=6, Resulting Numbers: [79, 6] Generated Node #0,2,2: 85:[79, 6] Operation: 72/12=6 Moving to Node #0,2,2 Current State: 85:[79, 6], Operations: ['34+38=72', '72/12=6'] Exploring Operation: 79+6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_3
mult_heuristic
[ 45, 56, 94, 15 ]
71
[ "56-45=11", "15*11=165", "165-94=71" ]
Current State: 71:[45, 56, 94, 15], Operations: [] Exploring Operation: 56-45=11, Resulting Numbers: [94, 15, 11] Generated Node #2: [94, 15, 11] from Operation: 56-45=11 Current State: 71:[94, 15, 11], Operations: ['56-45=11'] Exploring Operation: 15*11=165, Resulting Numbers: [94, 165] Generated Node #3: [94, 165] from Operation: 15*11=165 Current State: 71:[94, 165], Operations: ['56-45=11', '15*11=165'] Exploring Operation: 165-94=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[45, 56, 94, 15], Operations: [] Exploring Operation: 45+15=60, Resulting Numbers: [56, 94, 60] Generated Node #0,0: 71:[56, 94, 60] Operation: 45+15=60 Moving to Node #0,0 Current State: 71:[56, 94, 60], Operations: ['45+15=60'] Exploring Operation: 94-56=38, Resulting Numbers: [60, 38] Generated Node #0,0,0: 71:[60, 38] Operation: 94-56=38 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 71:[60, 38], Operations: ['45+15=60', '94-56=38'] Exploring Operation: 60+38=98, Resulting Numbers: [98] 98,71 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
[ 9, 5, 28, 86 ]
99
[ "9+28=37", "5*37=185", "185-86=99" ]
Current State: 99:[9, 5, 28, 86], Operations: [] Exploring Operation: 9+28=37, Resulting Numbers: [5, 86, 37] Generated Node #2: [5, 86, 37] from Operation: 9+28=37 Current State: 99:[5, 86, 37], Operations: ['9+28=37'] Exploring Operation: 5*37=185, Resulting Numbers: [86, 185] Generated Node #3: [86, 185] from Operation: 5*37=185 Current State: 99:[86, 185], Operations: ['9+28=37', '5*37=185'] Exploring Operation: 185-86=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
Current State: 99:[9, 5, 28, 86], Operations: [] Exploring Operation: 28+86=114, Resulting Numbers: [9, 5, 114] Generated Node #0,0: 99:[9, 5, 114] Operation: 28+86=114 Exploring Operation: 9+86=95, Resulting Numbers: [5, 28, 95] Generated Node #0,1: 99:[5, 28, 95] Operation: 9+86=95 Exploring Operation: 5+28=33, Resulting Numbers: [9, 86, 33] Generated Node #0,2: 99:[9, 86, 33] Operation: 5+28=33 Exploring Operation: 5+86=91, Resulting Numbers: [9, 28, 91] Generated Node #0,3: 99:[9, 28, 91] Operation: 5+86=91 Moving to Node #0,1 Current State: 99:[5, 28, 95], Operations: ['9+86=95'] Exploring Operation: 28-5=23, Resulting Numbers: [95, 23] Generated Node #0,1,0: 99:[95, 23] Operation: 28-5=23 Exploring Operation: 95/5=19, Resulting Numbers: [28, 19] Generated Node #0,1,1: 99:[28, 19] Operation: 95/5=19 Exploring Operation: 5+28=33, Resulting Numbers: [95, 33] Generated Node #0,1,2: 99:[95, 33] Operation: 5+28=33 Exploring Operation: 5+95=100, Resulting Numbers: [28, 100] Generated Node #0,1,3: 99:[28, 100] Operation: 5+95=100 Moving to Node #0,3 Current State: 99:[9, 28, 91], Operations: ['5+86=91'] Exploring Operation: 9+28=37, Resulting Numbers: [91, 37] Generated Node #0,3,0: 99:[91, 37] Operation: 9+28=37 Exploring Operation: 28+91=119, Resulting Numbers: [9, 119] Generated Node #0,3,1: 99:[9, 119] Operation: 28+91=119 Exploring Operation: 28-9=19, Resulting Numbers: [91, 19] Generated Node #0,3,2: 99:[91, 19] Operation: 28-9=19 Exploring Operation: 9+91=100, Resulting Numbers: [28, 100] Generated Node #0,3,3: 99:[28, 100] Operation: 9+91=100 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 99:[28, 100], Operations: ['5+86=91', '9+91=100'] Exploring Operation: 100-28=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 28+100=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 28*100=2800, Resulting Numbers: [2800] 2800,99 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 #0,3,0 Current State: 99:[91, 37], Operations: ['5+86=91', '9+28=37'] Exploring Operation: 91+37=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 91-37=54, Resulting Numbers: [54] 54,99 unequal: No Solution Exploring Operation: 91*37=3367, Resulting Numbers: [3367] 3367,99 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:[91, 19], Operations: ['5+86=91', '28-9=19'] Exploring Operation: 91-19=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 91*19=1729, Resulting Numbers: [1729] 1729,99 unequal: No Solution Exploring Operation: 91+19=110, Resulting Numbers: [110] 110,99 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 #0,3,1 Current State: 99:[9, 119], Operations: ['5+86=91', '28+91=119'] Exploring Operation: 119-9=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 9+119=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 9*119=1071, Resulting Numbers: [1071] 1071,99 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: 99:[9, 86, 33], Operations: ['5+28=33'] Exploring Operation: 86-9=77, Resulting Numbers: [33, 77] Generated Node #0,2,0: 99:[33, 77] Operation: 86-9=77 Exploring Operation: 86+33=119, Resulting Numbers: [9, 119] Generated Node #0,2,1: 99:[9, 119] Operation: 86+33=119 Exploring Operation: 9+86=95, Resulting Numbers: [33, 95] Generated Node #0,2,2: 99:[33, 95] Operation: 9+86=95 Exploring Operation: 86-33=53, Resulting Numbers: [9, 53] Generated Node #0,2,3: 99:[9, 53] Operation: 86-33=53 Moving to Node #0,0 Current State: 99:[9, 5, 114], Operations: ['28+86=114'] Exploring Operation: 9+5=14, Resulting Numbers: [114, 14] Generated Node #0,0,0: 99:[114, 14] Operation: 9+5=14 Exploring Operation: 114-5=109, Resulting Numbers: [9, 109] Generated Node #0,0,1: 99:[9, 109] Operation: 114-5=109 Exploring Operation: 9-5=4, Resulting Numbers: [114, 4] Generated Node #0,0,2: 99:[114, 4] Operation: 9-5=4 Exploring Operation: 114-9=105, Resulting Numbers: [5, 105] Generated Node #0,0,3: 99:[5, 105] Operation: 114-9=105 Moving to Node #0,1,2 Current State: 99:[95, 33], Operations: ['9+86=95', '5+28=33'] Exploring Operation: 95+33=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 95-33=62, Resulting Numbers: [62] 62,99 unequal: No Solution Exploring Operation: 95*33=3135, Resulting Numbers: [3135] 3135,99 unequal: No Solution Moving to Node #0,2,2 Current State: 99:[33, 95], Operations: ['5+28=33', '9+86=95'] Exploring Operation: 95-33=62, Resulting Numbers: [62] 62,99 unequal: No Solution Exploring Operation: 33*95=3135, Resulting Numbers: [3135] 3135,99 unequal: No Solution Exploring Operation: 33+95=128, Resulting Numbers: [128] 128,99 unequal: No Solution Moving to Node #0,1,3 Current State: 99:[28, 100], Operations: ['9+86=95', '5+95=100'] Exploring Operation: 28+100=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 100-28=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 28*100=2800, Resulting Numbers: [2800] 2800,99 unequal: No Solution Moving to Node #0,0,3 Current State: 99:[5, 105], Operations: ['28+86=114', '114-9=105'] Exploring Operation: 105-5=100, Resulting Numbers: [100] 100,99 unequal: No Solution Exploring Operation: 5*105=525, Resulting Numbers: [525] 525,99 unequal: No Solution Exploring Operation: 105/5=21, Resulting Numbers: [21] 21,99 unequal: No Solution Exploring Operation: 5+105=110, Resulting Numbers: [110] 110,99 unequal: No Solution Moving to Node #0,0,1 Current State: 99:[9, 109], Operations: ['28+86=114', '114-5=109'] Exploring Operation: 9+109=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 109-9=100, Resulting Numbers: [100] 100,99 unequal: No Solution Exploring Operation: 9*109=981, Resulting Numbers: [981] 981,99 unequal: No Solution Moving to Node #0,1,1 Current State: 99:[28, 19], Operations: ['9+86=95', '95/5=19'] Exploring Operation: 28*19=532, Resulting Numbers: [532] 532,99 unequal: No Solution Exploring Operation: 28+19=47, Resulting Numbers: [47] 47,99 unequal: No Solution Exploring Operation: 28-19=9, Resulting Numbers: [9] 9,99 unequal: No Solution Moving to Node #0,1,0 Current State: 99:[95, 23], Operations: ['9+86=95', '28-5=23'] Exploring Operation: 95+23=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 95-23=72, Resulting Numbers: [72] 72,99 unequal: No Solution Exploring Operation: 95*23=2185, Resulting Numbers: [2185] 2185,99 unequal: No Solution Moving to Node #0,0,2 Current State: 99:[114, 4], Operations: ['28+86=114', '9-5=4'] Exploring Operation: 114-4=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 114+4=118, Resulting Numbers: [118] 118,99 unequal: No Solution Exploring Operation: 114*4=456, Resulting Numbers: [456] 456,99 unequal: No Solution Moving to Node #0,0,0 Current State: 99:[114, 14], Operations: ['28+86=114', '9+5=14'] Exploring Operation: 114+14=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 114-14=100, Resulting Numbers: [100] 100,99 unequal: No Solution Exploring Operation: 114*14=1596, Resulting Numbers: [1596] 1596,99 unequal: No Solution Moving to Node #0,2,1 Current State: 99:[9, 119], Operations: ['5+28=33', '86+33=119'] Exploring Operation: 9+119=128, Resulting Numbers: [128] 128,99 unequal: No Solution Exploring Operation: 9*119=1071, Resulting Numbers: [1071] 1071,99 unequal: No Solution Exploring Operation: 119-9=110, Resulting Numbers: [110] 110,99 unequal: No Solution Moving to Node #0,2,3 Current State: 99:[9, 53], Operations: ['5+28=33', '86-33=53'] Exploring Operation: 53-9=44, Resulting Numbers: [44] 44,99 unequal: No Solution Exploring Operation: 9+53=62, Resulting Numbers: [62] 62,99 unequal: No Solution Exploring Operation: 9*53=477, Resulting Numbers: [477] 477,99 unequal: No Solution Moving to Node #0,2,0 Current State: 99:[33, 77], Operations: ['5+28=33', '86-9=77'] Exploring Operation: 77-33=44, Resulting Numbers: [44] 44,99 unequal: No Solution Exploring Operation: 33+77=110, Resulting Numbers: [110] 110,99 unequal: No Solution Exploring Operation: 33*77=2541, Resulting Numbers: [2541] 2541,99 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 56, 11, 7, 41 ]
28
[ "56-11=45", "45-41=4", "7*4=28" ]
Current State: 28:[56, 11, 7, 41], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [7, 41, 45] Generated Node #2: [7, 41, 45] from Operation: 56-11=45 Current State: 28:[7, 41, 45], Operations: ['56-11=45'] Exploring Operation: 45-41=4, Resulting Numbers: [7, 4] Generated Node #3: [7, 4] from Operation: 45-41=4 Current State: 28:[7, 4], Operations: ['56-11=45', '45-41=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[56, 11, 7, 41], Operations: [] Exploring Operation: 56-11=45, Resulting Numbers: [7, 41, 45] Generated Node #0,0: 28:[7, 41, 45] Operation: 56-11=45 Exploring Operation: 56-41=15, Resulting Numbers: [11, 7, 15] Generated Node #0,1: 28:[11, 7, 15] Operation: 56-41=15 Exploring Operation: 56/7=8, Resulting Numbers: [11, 41, 8] Generated Node #0,2: 28:[11, 41, 8] Operation: 56/7=8 Exploring Operation: 41-11=30, Resulting Numbers: [56, 7, 30] Generated Node #0,3: 28:[56, 7, 30] Operation: 41-11=30 Start Sub Search at level 1: Moving to Node #0,1 Current State: 28:[11, 7, 15], Operations: ['56-41=15'] Exploring Operation: 11+15=26, Resulting Numbers: [7, 26] Generated Node #0,1,0: 28:[7, 26] Operation: 11+15=26 Exploring Operation: 11-7=4, Resulting Numbers: [15, 4] Generated Node #0,1,1: 28:[15, 4] Operation: 11-7=4 Exploring Operation: 15-7=8, Resulting Numbers: [11, 8] Generated Node #0,1,2: 28:[11, 8] Operation: 15-7=8 Exploring Operation: 15-11=4, Resulting Numbers: [7, 4] Generated Node #0,1,3: 28:[7, 4] Operation: 15-11=4 Moving to Node #0,1,3 Current State: 28:[7, 4], Operations: ['56-41=15', '15-11=4'] Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,28 unequal: No Solution Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,28 unequal: No Solution Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[56, 11, 7, 41], Operations: [] Exploring Operation: 56-41=15, Resulting Numbers: [11, 7, 15] Generated Node #0,1: 28:[11, 7, 15] Operation: 56-41=15 Moving to Node #0,1 Current State: 28:[11, 7, 15], Operations: ['56-41=15'] Exploring Operation: 15-11=4, Resulting Numbers: [7, 4] Generated Node #0,1,3: 28:[7, 4] Operation: 15-11=4 Moving to Node #0,1,3 Current State: 28:[7, 4], Operations: ['56-41=15', '15-11=4'] Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
sum_heuristic
[ 72, 83, 35, 74 ]
96
[ "74-72=2", "83-35=48", "2*48=96" ]
Current State: 96:[72, 83, 35, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [83, 35, 2] Generated Node #2: [83, 35, 2] from Operation: 74-72=2 Current State: 96:[83, 35, 2], Operations: ['74-72=2'] Exploring Operation: 83-35=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 83-35=48 Current State: 96:[2, 48], Operations: ['74-72=2', '83-35=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[72, 83, 35, 74], Operations: [] Exploring Operation: 83-72=11, Resulting Numbers: [35, 74, 11] Generated Node #0,0: 96:[35, 74, 11] Operation: 83-72=11 Exploring Operation: 72-35=37, Resulting Numbers: [83, 74, 37] Generated Node #0,1: 96:[83, 74, 37] Operation: 72-35=37 Exploring Operation: 83-74=9, Resulting Numbers: [72, 35, 9] Generated Node #0,2: 96:[72, 35, 9] Operation: 83-74=9 Exploring Operation: 74-72=2, Resulting Numbers: [83, 35, 2] Generated Node #0,3: 96:[83, 35, 2] Operation: 74-72=2 Start Sub Search at level 1: Moving to Node #0,3 Current State: 96:[83, 35, 2], Operations: ['74-72=2'] Exploring Operation: 83-2=81, Resulting Numbers: [35, 81] Generated Node #0,3,0: 96:[35, 81] Operation: 83-2=81 Exploring Operation: 35-2=33, Resulting Numbers: [83, 33] Generated Node #0,3,1: 96:[83, 33] Operation: 35-2=33 Exploring Operation: 83+2=85, Resulting Numbers: [35, 85] Generated Node #0,3,2: 96:[35, 85] Operation: 83+2=85 Exploring Operation: 83-35=48, Resulting Numbers: [2, 48] Generated Node #0,3,3: 96:[2, 48] Operation: 83-35=48 Moving to Node #0,3,3 Current State: 96:[2, 48], Operations: ['74-72=2', '83-35=48'] Exploring Operation: 2+48=50, Resulting Numbers: [50] 50,96 unequal: No Solution Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,96 unequal: No Solution Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Moving to Node #0 Current State: 96:[72, 83, 35, 74], Operations: [] Exploring Operation: 74-72=2, Resulting Numbers: [83, 35, 2] Generated Node #0,3: 96:[83, 35, 2] Operation: 74-72=2 Moving to Node #0,3 Current State: 96:[83, 35, 2], Operations: ['74-72=2'] Exploring Operation: 83-35=48, Resulting Numbers: [2, 48] Generated Node #0,3,3: 96:[2, 48] Operation: 83-35=48 Moving to Node #0,3,3 Current State: 96:[2, 48], Operations: ['74-72=2', '83-35=48'] Exploring Operation: 2*48=96, Resulting Numbers: [96] 96,96 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_4
sum_heuristic
[ 7, 52, 10, 36 ]
91
[ "52-7=45", "10+36=46", "45+46=91" ]
Current State: 91:[7, 52, 10, 36], Operations: [] Exploring Operation: 52-7=45, Resulting Numbers: [10, 36, 45] Generated Node #2: [10, 36, 45] from Operation: 52-7=45 Current State: 91:[10, 36, 45], Operations: ['52-7=45'] Exploring Operation: 10+36=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 10+36=46 Current State: 91:[45, 46], Operations: ['52-7=45', '10+36=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[7, 52, 10, 36], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [7, 10, 88] Generated Node #0,0: 91:[7, 10, 88] Operation: 52+36=88 Exploring Operation: 52-36=16, Resulting Numbers: [7, 10, 16] Generated Node #0,1: 91:[7, 10, 16] Operation: 52-36=16 Moving to Node #0,0 Current State: 91:[7, 10, 88], Operations: ['52+36=88'] Exploring Operation: 7+10=17, Resulting Numbers: [88, 17] Generated Node #0,0,0: 91:[88, 17] Operation: 7+10=17 Exploring Operation: 10-7=3, Resulting Numbers: [88, 3] Generated Node #0,0,1: 91:[88, 3] Operation: 10-7=3 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 91:[88, 17], Operations: ['52+36=88', '7+10=17'] Exploring Operation: 88+17=105, Resulting Numbers: [105] 105,91 unequal: No Solution Exploring Operation: 88-17=71, Resulting Numbers: [71] 71,91 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 #0,0,1 Current State: 91:[88, 3], Operations: ['52+36=88', '10-7=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Moving to Node #0 Current State: 91:[7, 52, 10, 36], Operations: [] Exploring Operation: 52+36=88, Resulting Numbers: [7, 10, 88] Generated Node #0,0: 91:[7, 10, 88] Operation: 52+36=88 Moving to Node #0,0 Current State: 91:[7, 10, 88], Operations: ['52+36=88'] Exploring Operation: 10-7=3, Resulting Numbers: [88, 3] Generated Node #0,0,1: 91:[88, 3] Operation: 10-7=3 Moving to Node #0,0,1 Current State: 91:[88, 3], Operations: ['52+36=88', '10-7=3'] Exploring Operation: 88+3=91, Resulting Numbers: [91] 91,91 equal: Goal Reached Exit Sub Search at level 1
0.990451
hs_2
mult_heuristic
[ 70, 6, 7, 36 ]
64
[ "70+36=106", "6*7=42", "106-42=64" ]
Current State: 64:[70, 6, 7, 36], Operations: [] Exploring Operation: 70+36=106, Resulting Numbers: [6, 7, 106] Generated Node #2: [6, 7, 106] from Operation: 70+36=106 Current State: 64:[6, 7, 106], Operations: ['70+36=106'] Exploring Operation: 6*7=42, Resulting Numbers: [106, 42] Generated Node #3: [106, 42] from Operation: 6*7=42 Current State: 64:[106, 42], Operations: ['70+36=106', '6*7=42'] Exploring Operation: 106-42=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[70, 6, 7, 36], Operations: [] Exploring Operation: 70-36=34, Resulting Numbers: [6, 7, 34] Generated Node #0,0: 64:[6, 7, 34] Operation: 70-36=34 Exploring Operation: 70-6=64, Resulting Numbers: [7, 36, 64] Generated Node #0,1: 64:[7, 36, 64] Operation: 70-6=64 Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[6, 7, 34], Operations: ['70-36=34'] Exploring Operation: 6+7=13, Resulting Numbers: [34, 13] Generated Node #0,0,0: 64:[34, 13] Operation: 6+7=13 Exploring Operation: 7-6=1, Resulting Numbers: [34, 1] Generated Node #0,0,1: 64:[34, 1] Operation: 7-6=1 Moving to Node #0,0,1 Current State: 64:[34, 1], Operations: ['70-36=34', '7-6=1'] Exploring Operation: 34*1=34, Resulting Numbers: [34] 34,64 unequal: No Solution Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,64 unequal: No Solution Moving to Node #0,0,0 Current State: 64:[34, 13], Operations: ['70-36=34', '6+7=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,64 unequal: No Solution Exploring Operation: 34+13=47, Resulting Numbers: [47] 47,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 64:[7, 36, 64], Operations: ['70-6=64'] Exploring Operation: 64-36=28, Resulting Numbers: [7, 28] Generated Node #0,1,0: 64:[7, 28] Operation: 64-36=28 Exploring Operation: 36-7=29, Resulting Numbers: [64, 29] Generated Node #0,1,1: 64:[64, 29] Operation: 36-7=29 Moving to Node #0,1,1 Current State: 64:[64, 29], Operations: ['70-6=64', '36-7=29'] Exploring Operation: 64-29=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 64+29=93, Resulting Numbers: [93] 93,64 unequal: No Solution Moving to Node #0,1,0 Current State: 64:[7, 28], Operations: ['70-6=64', '64-36=28'] Exploring Operation: 7+28=35, Resulting Numbers: [35] 35,64 unequal: No Solution Exploring Operation: 28/7=4, Resulting Numbers: [4] 4,64 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
[ 69, 55, 2, 73 ]
60
[ "73-55=18", "18/2=9", "69-9=60" ]
Current State: 60:[69, 55, 2, 73], Operations: [] Exploring Operation: 73-55=18, Resulting Numbers: [69, 2, 18] Generated Node #2: [69, 2, 18] from Operation: 73-55=18 Current State: 60:[69, 2, 18], Operations: ['73-55=18'] Exploring Operation: 18/2=9, Resulting Numbers: [69, 9] Generated Node #3: [69, 9] from Operation: 18/2=9 Current State: 60:[69, 9], Operations: ['73-55=18', '18/2=9'] Exploring Operation: 69-9=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
Current State: 60:[69, 55, 2, 73], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [55, 2, 4] Generated Node #0,0: 60:[55, 2, 4] Operation: 73-69=4 Moving to Node #0,0 Current State: 60:[55, 2, 4], Operations: ['73-69=4'] Exploring Operation: 55+4=59, Resulting Numbers: [2, 59] Generated Node #0,0,0: 60:[2, 59] Operation: 55+4=59 Moving to Node #0,0,0 Current State: 60:[2, 59], Operations: ['73-69=4', '55+4=59'] Exploring Operation: 2+59=61, Resulting Numbers: [61] 61,60 unequal: No Solution No solution found.
0
hs_1
sum_heuristic