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 |
|---|---|---|---|---|---|---|---|---|
[
37,
79,
58,
80
] | 94 | [
"37+79=116",
"80-58=22",
"116-22=94"
] | Current State: 94:[37, 79, 58, 80], Operations: []
Exploring Operation: 37+79=116, Resulting Numbers: [58, 80, 116]
Generated Node #2: [58, 80, 116] from Operation: 37+79=116
Current State: 94:[58, 80, 116], Operations: ['37+79=116']
Exploring Operation: 80-58=22, Resulting Numbers: [116, 22]
Generated Node #3: [116, 22] from Operation: 80-58=22
Current State: 94:[116, 22], Operations: ['37+79=116', '80-58=22']
Exploring Operation: 116-22=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[37, 79, 58, 80], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [37, 58, 1]
Generated Node #0,0: 94:[37, 58, 1] Operation: 80-79=1
Moving to Node #0,0
Current State: 94:[37, 58, 1], Operations: ['80-79=1']
Exploring Operation: 37+58=95, Resulting Numbers: [1, 95]
Generated Node #0,0,0: 94:[1, 95] Operation: 37+58=95
Moving to Node #0,0,0
Current State: 94:[1, 95], Operations: ['80-79=1', '37+58=95']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
Moving to Node #0
Current State: 94:[37, 79, 58, 80], Operations: []
Exploring Operation: 80-79=1, Resulting Numbers: [37, 58, 1]
Generated Node #0,0: 94:[37, 58, 1] Operation: 80-79=1
Moving to Node #0,0
Current State: 94:[37, 58, 1], Operations: ['80-79=1']
Exploring Operation: 37+58=95, Resulting Numbers: [1, 95]
Generated Node #0,0,0: 94:[1, 95] Operation: 37+58=95
Moving to Node #0,0,0
Current State: 94:[1, 95], Operations: ['80-79=1', '37+58=95']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
73,
6,
45,
50
] | 93 | [
"73-50=23",
"6*23=138",
"138-45=93"
] | Current State: 93:[73, 6, 45, 50], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [6, 45, 23]
Generated Node #2: [6, 45, 23] from Operation: 73-50=23
Current State: 93:[6, 45, 23], Operations: ['73-50=23']
Exploring Operation: 6*23=138, Resulting Numbers: [45, 138]
Generated Node #3: [45, 138] from Operation: 6*23=138
Current State: 93:[45, 138], Operations: ['73-50=23', '6*23=138']
Exploring Operation: 138-45=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[73, 6, 45, 50], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [6, 50, 28]
Generated Node #0,0: 93:[6, 50, 28] Operation: 73-45=28
Exploring Operation: 50-45=5, Resulting Numbers: [73, 6, 5]
Generated Node #0,1: 93:[73, 6, 5] Operation: 50-45=5
Exploring Operation: 73-50=23, Resulting Numbers: [6, 45, 23]
Generated Node #0,2: 93:[6, 45, 23] Operation: 73-50=23
Exploring Operation: 45+50=95, Resulting Numbers: [73, 6, 95]
Generated Node #0,3: 93:[73, 6, 95] Operation: 45+50=95
Exploring Operation: 73+6=79, Resulting Numbers: [45, 50, 79]
Generated Node #0,4: 93:[45, 50, 79] Operation: 73+6=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[6, 50, 28], Operations: ['73-45=28']
Exploring Operation: 6+28=34, Resulting Numbers: [50, 34]
Generated Node #0,0,0: 93:[50, 34] Operation: 6+28=34
Exploring Operation: 50+28=78, Resulting Numbers: [6, 78]
Generated Node #0,0,1: 93:[6, 78] Operation: 50+28=78
Exploring Operation: 50-6=44, Resulting Numbers: [28, 44]
Generated Node #0,0,2: 93:[28, 44] Operation: 50-6=44
Exploring Operation: 50-28=22, Resulting Numbers: [6, 22]
Generated Node #0,0,3: 93:[6, 22] Operation: 50-28=22
Exploring Operation: 6+50=56, Resulting Numbers: [28, 56]
Generated Node #0,0,4: 93:[28, 56] Operation: 6+50=56
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 93:[6, 22], Operations: ['73-45=28', '50-28=22']
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[28, 44], Operations: ['73-45=28', '50-6=44']
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 28*44=1232, Resulting Numbers: [1232]
1232,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[6, 78], Operations: ['73-45=28', '50+28=78']
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,93 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[50, 34], Operations: ['73-45=28', '6+28=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 93:[28, 56], Operations: ['73-45=28', '6+50=56']
Exploring Operation: 28*56=1568, Resulting Numbers: [1568]
1568,93 unequal: No Solution
Exploring Operation: 56/28=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 56-28=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 28+56=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[73, 6, 5], Operations: ['50-45=5']
Exploring Operation: 73+5=78, Resulting Numbers: [6, 78]
Generated Node #0,1,0: 93:[6, 78] Operation: 73+5=78
Exploring Operation: 73-6=67, Resulting Numbers: [5, 67]
Generated Node #0,1,1: 93:[5, 67] Operation: 73-6=67
Exploring Operation: 6*5=30, Resulting Numbers: [73, 30]
Generated Node #0,1,2: 93:[73, 30] Operation: 6*5=30
Exploring Operation: 6-5=1, Resulting Numbers: [73, 1]
Generated Node #0,1,3: 93:[73, 1] Operation: 6-5=1
Exploring Operation: 73+6=79, Resulting Numbers: [5, 79]
Generated Node #0,1,4: 93:[5, 79] Operation: 73+6=79
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 93:[5, 79], Operations: ['50-45=5', '73+6=79']
Exploring Operation: 5*79=395, Resulting Numbers: [395]
395,93 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 5+79=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[6, 78], Operations: ['50-45=5', '73+5=78']
Exploring Operation: 6*78=468, Resulting Numbers: [468]
468,93 unequal: No Solution
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 78-6=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 6+78=84, Resulting Numbers: [84]
84,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[73, 30], Operations: ['50-45=5', '6*5=30']
Exploring Operation: 73*30=2190, Resulting Numbers: [2190]
2190,93 unequal: No Solution
Exploring Operation: 73+30=103, Resulting Numbers: [103]
103,93 unequal: No Solution
Exploring Operation: 73-30=43, Resulting Numbers: [43]
43,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[73, 1], Operations: ['50-45=5', '6-5=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 73/1=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 73-1=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 73+1=74, Resulting Numbers: [74]
74,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[5, 67], Operations: ['50-45=5', '73-6=67']
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[6, 45, 23], Operations: ['73-50=23']
Exploring Operation: 45-6=39, Resulting Numbers: [23, 39]
Generated Node #0,2,0: 93:[23, 39] Operation: 45-6=39
Exploring Operation: 23-6=17, Resulting Numbers: [45, 17]
Generated Node #0,2,1: 93:[45, 17] Operation: 23-6=17
Exploring Operation: 6+23=29, Resulting Numbers: [45, 29]
Generated Node #0,2,2: 93:[45, 29] Operation: 6+23=29
Exploring Operation: 45-23=22, Resulting Numbers: [6, 22]
Generated Node #0,2,3: 93:[6, 22] Operation: 45-23=22
Exploring Operation: 6+45=51, Resulting Numbers: [23, 51]
Generated Node #0,2,4: 93:[23, 51] Operation: 6+45=51
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 93:[6, 22], Operations: ['73-50=23', '45-23=22']
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[23, 39], Operations: ['73-50=23', '45-6=39']
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,93 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[45, 29], Operations: ['73-50=23', '6+23=29']
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,93 unequal: No Solution
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[45, 17], Operations: ['73-50=23', '23-6=17']
Exploring Operation: 45*17=765, Resulting Numbers: [765]
765,93 unequal: No Solution
Exploring Operation: 45+17=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 45-17=28, Resulting Numbers: [28]
28,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 93:[23, 51], Operations: ['73-50=23', '6+45=51']
Exploring Operation: 23+51=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 23*51=1173, Resulting Numbers: [1173]
1173,93 unequal: No Solution
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[73, 6, 95], Operations: ['45+50=95']
Exploring Operation: 95-73=22, Resulting Numbers: [6, 22]
Generated Node #0,3,0: 93:[6, 22] Operation: 95-73=22
Exploring Operation: 73+6=79, Resulting Numbers: [95, 79]
Generated Node #0,3,1: 93:[95, 79] Operation: 73+6=79
Exploring Operation: 6+95=101, Resulting Numbers: [73, 101]
Generated Node #0,3,2: 93:[73, 101] Operation: 6+95=101
Exploring Operation: 73-6=67, Resulting Numbers: [95, 67]
Generated Node #0,3,3: 93:[95, 67] Operation: 73-6=67
Exploring Operation: 95-6=89, Resulting Numbers: [73, 89]
Generated Node #0,3,4: 93:[73, 89] Operation: 95-6=89
Moving to Node #0,3,0
Current State: 93:[6, 22], Operations: ['45+50=95', '95-73=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[95, 79], Operations: ['45+50=95', '73+6=79']
Exploring Operation: 95+79=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 95*79=7505, Resulting Numbers: [7505]
7505,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[73, 89], Operations: ['45+50=95', '95-6=89']
Exploring Operation: 89-73=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 73*89=6497, Resulting Numbers: [6497]
6497,93 unequal: No Solution
Exploring Operation: 73+89=162, Resulting Numbers: [162]
162,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[73, 101], Operations: ['45+50=95', '6+95=101']
Exploring Operation: 73*101=7373, Resulting Numbers: [7373]
7373,93 unequal: No Solution
Exploring Operation: 73+101=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 101-73=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[95, 67], Operations: ['45+50=95', '73-6=67']
Exploring Operation: 95*67=6365, Resulting Numbers: [6365]
6365,93 unequal: No Solution
Exploring Operation: 95-67=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Exploring Operation: 95+67=162, Resulting Numbers: [162]
162,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 93:[45, 50, 79], Operations: ['73+6=79']
Exploring Operation: 45+79=124, Resulting Numbers: [50, 124]
Generated Node #0,4,0: 93:[50, 124] Operation: 45+79=124
Exploring Operation: 45+50=95, Resulting Numbers: [79, 95]
Generated Node #0,4,1: 93:[79, 95] Operation: 45+50=95
Exploring Operation: 50-45=5, Resulting Numbers: [79, 5]
Generated Node #0,4,2: 93:[79, 5] Operation: 50-45=5
Exploring Operation: 79-45=34, Resulting Numbers: [50, 34]
Generated Node #0,4,3: 93:[50, 34] Operation: 79-45=34
Exploring Operation: 79-50=29, Resulting Numbers: [45, 29]
Generated Node #0,4,4: 93:[45, 29] Operation: 79-50=29
Moving to Node #0,4,1
Current State: 93:[79, 95], Operations: ['73+6=79', '45+50=95']
Exploring Operation: 79+95=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 79*95=7505, Resulting Numbers: [7505]
7505,93 unequal: No Solution
Exploring Operation: 95-79=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[45, 29], Operations: ['73+6=79', '79-50=29']
Exploring Operation: 45+29=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 45*29=1305, Resulting Numbers: [1305]
1305,93 unequal: No Solution
Exploring Operation: 45-29=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[79, 5], Operations: ['73+6=79', '50-45=5']
Exploring Operation: 79*5=395, Resulting Numbers: [395]
395,93 unequal: No Solution
Exploring Operation: 79-5=74, Resulting Numbers: [74]
74,93 unequal: No Solution
Exploring Operation: 79+5=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[50, 34], Operations: ['73+6=79', '79-45=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Exploring Operation: 50*34=1700, Resulting Numbers: [1700]
1700,93 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[50, 124], Operations: ['73+6=79', '45+79=124']
Exploring Operation: 50*124=6200, Resulting Numbers: [6200]
6200,93 unequal: No Solution
Exploring Operation: 50+124=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 124-50=74, Resulting Numbers: [74]
74,93 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 |
[
15,
52,
50,
6
] | 72 | [
"50*6=300",
"300/15=20",
"52+20=72"
] | Current State: 72:[15, 52, 50, 6], Operations: []
Exploring Operation: 50*6=300, Resulting Numbers: [15, 52, 300]
Generated Node #2: [15, 52, 300] from Operation: 50*6=300
Current State: 72:[15, 52, 300], Operations: ['50*6=300']
Exploring Operation: 300/15=20, Resulting Numbers: [52, 20]
Generated Node #3: [52, 20] from Operation: 300/15=20
Current State: 72:[52, 20], Operations: ['50*6=300', '300/15=20']
Exploring Operation: 52+20=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[15, 52, 50, 6], Operations: []
Exploring Operation: 52-50=2, Resulting Numbers: [15, 6, 2]
Generated Node #0,0: 72:[15, 6, 2] Operation: 52-50=2
Moving to Node #0,0
Current State: 72:[15, 6, 2], Operations: ['52-50=2']
Exploring Operation: 15-6=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 72:[2, 9] Operation: 15-6=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[2, 9], Operations: ['52-50=2', '15-6=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
39,
27,
16
] | 49 | [
"39+27=66",
"66/2=33",
"16+33=49"
] | Current State: 49:[2, 39, 27, 16], Operations: []
Exploring Operation: 39+27=66, Resulting Numbers: [2, 16, 66]
Generated Node #2: [2, 16, 66] from Operation: 39+27=66
Current State: 49:[2, 16, 66], Operations: ['39+27=66']
Exploring Operation: 66/2=33, Resulting Numbers: [16, 33]
Generated Node #3: [16, 33] from Operation: 66/2=33
Current State: 49:[16, 33], Operations: ['39+27=66', '66/2=33']
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[2, 39, 27, 16], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [2, 16, 12]
Generated Node #0,0: 49:[2, 16, 12] Operation: 39-27=12
Exploring Operation: 27-16=11, Resulting Numbers: [2, 39, 11]
Generated Node #0,1: 49:[2, 39, 11] Operation: 27-16=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[2, 16, 12], Operations: ['39-27=12']
Exploring Operation: 16-12=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 49:[2, 4] Operation: 16-12=4
Exploring Operation: 16/2=8, Resulting Numbers: [12, 8]
Generated Node #0,0,1: 49:[12, 8] Operation: 16/2=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[12, 8], Operations: ['39-27=12', '16/2=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,49 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 #0,0,0
Current State: 49:[2, 4], Operations: ['39-27=12', '16-12=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,49 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: 49:[2, 39, 11], Operations: ['27-16=11']
Exploring Operation: 2+39=41, Resulting Numbers: [11, 41]
Generated Node #0,1,0: 49:[11, 41] Operation: 2+39=41
Exploring Operation: 39+11=50, Resulting Numbers: [2, 50]
Generated Node #0,1,1: 49:[2, 50] Operation: 39+11=50
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[2, 50], Operations: ['27-16=11', '39+11=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,49 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 #0,1,0
Current State: 49:[11, 41], Operations: ['27-16=11', '2+39=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,49 unequal: No Solution
Exploring Operation: 11+41=52, Resulting Numbers: [52]
52,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
40,
26,
54,
29
] | 69 | [
"40-26=14",
"54+29=83",
"83-14=69"
] | Current State: 69:[40, 26, 54, 29], Operations: []
Exploring Operation: 40-26=14, Resulting Numbers: [54, 29, 14]
Generated Node #2: [54, 29, 14] from Operation: 40-26=14
Current State: 69:[54, 29, 14], Operations: ['40-26=14']
Exploring Operation: 54+29=83, Resulting Numbers: [14, 83]
Generated Node #3: [14, 83] from Operation: 54+29=83
Current State: 69:[14, 83], Operations: ['40-26=14', '54+29=83']
Exploring Operation: 83-14=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[40, 26, 54, 29], Operations: []
Exploring Operation: 40+29=69, Resulting Numbers: [26, 54, 69]
Generated Node #0,0: 69:[26, 54, 69] Operation: 40+29=69
Exploring Operation: 40+26=66, Resulting Numbers: [54, 29, 66]
Generated Node #0,1: 69:[54, 29, 66] Operation: 40+26=66
Exploring Operation: 54-40=14, Resulting Numbers: [26, 29, 14]
Generated Node #0,2: 69:[26, 29, 14] Operation: 54-40=14
Exploring Operation: 54-29=25, Resulting Numbers: [40, 26, 25]
Generated Node #0,3: 69:[40, 26, 25] Operation: 54-29=25
Moving to Node #0,0
Current State: 69:[26, 54, 69], Operations: ['40+29=69']
Exploring Operation: 54-26=28, Resulting Numbers: [69, 28]
Generated Node #0,0,0: 69:[69, 28] Operation: 54-26=28
Exploring Operation: 69-26=43, Resulting Numbers: [54, 43]
Generated Node #0,0,1: 69:[54, 43] Operation: 69-26=43
Exploring Operation: 69-54=15, Resulting Numbers: [26, 15]
Generated Node #0,0,2: 69:[26, 15] Operation: 69-54=15
Exploring Operation: 26+54=80, Resulting Numbers: [69, 80]
Generated Node #0,0,3: 69:[69, 80] Operation: 26+54=80
Moving to Node #0,2
Current State: 69:[26, 29, 14], Operations: ['54-40=14']
Exploring Operation: 29-14=15, Resulting Numbers: [26, 15]
Generated Node #0,2,0: 69:[26, 15] Operation: 29-14=15
Exploring Operation: 29-26=3, Resulting Numbers: [14, 3]
Generated Node #0,2,1: 69:[14, 3] Operation: 29-26=3
Exploring Operation: 26-14=12, Resulting Numbers: [29, 12]
Generated Node #0,2,2: 69:[29, 12] Operation: 26-14=12
Exploring Operation: 26+29=55, Resulting Numbers: [14, 55]
Generated Node #0,2,3: 69:[14, 55] Operation: 26+29=55
Moving to Node #0,3
Current State: 69:[40, 26, 25], Operations: ['54-29=25']
Exploring Operation: 40+26=66, Resulting Numbers: [25, 66]
Generated Node #0,3,0: 69:[25, 66] Operation: 40+26=66
Exploring Operation: 40-25=15, Resulting Numbers: [26, 15]
Generated Node #0,3,1: 69:[26, 15] Operation: 40-25=15
Exploring Operation: 40+25=65, Resulting Numbers: [26, 65]
Generated Node #0,3,2: 69:[26, 65] Operation: 40+25=65
Exploring Operation: 40-26=14, Resulting Numbers: [25, 14]
Generated Node #0,3,3: 69:[25, 14] Operation: 40-26=14
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[25, 66], Operations: ['54-29=25', '40+26=66']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 25+66=91, Resulting Numbers: [91]
91,69 unequal: No Solution
Exploring Operation: 25*66=1650, Resulting Numbers: [1650]
1650,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[26, 65], Operations: ['54-29=25', '40+25=65']
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,69 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,69 unequal: No Solution
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[26, 15], Operations: ['54-29=25', '40-25=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,69 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[25, 14], Operations: ['54-29=25', '40-26=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,69 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,69 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,69 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: 69:[54, 29, 66], Operations: ['40+26=66']
Exploring Operation: 54+29=83, Resulting Numbers: [66, 83]
Generated Node #0,1,0: 69:[66, 83] Operation: 54+29=83
Exploring Operation: 54-29=25, Resulting Numbers: [66, 25]
Generated Node #0,1,1: 69:[66, 25] Operation: 54-29=25
Exploring Operation: 66-29=37, Resulting Numbers: [54, 37]
Generated Node #0,1,2: 69:[54, 37] Operation: 66-29=37
Exploring Operation: 66-54=12, Resulting Numbers: [29, 12]
Generated Node #0,1,3: 69:[29, 12] Operation: 66-54=12
Moving to Node #0,0,0
Current State: 69:[69, 28], Operations: ['40+29=69', '54-26=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,69 unequal: No Solution
Exploring Operation: 69-28=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 69*28=1932, Resulting Numbers: [1932]
1932,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[66, 25], Operations: ['40+26=66', '54-29=25']
Exploring Operation: 66+25=91, Resulting Numbers: [91]
91,69 unequal: No Solution
Exploring Operation: 66*25=1650, Resulting Numbers: [1650]
1650,69 unequal: No Solution
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Moving to Node #0,2,1
Current State: 69:[14, 3], Operations: ['54-40=14', '29-26=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,69 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Moving to Node #0,0,3
Current State: 69:[69, 80], Operations: ['40+29=69', '26+54=80']
Exploring Operation: 69*80=5520, Resulting Numbers: [5520]
5520,69 unequal: No Solution
Exploring Operation: 69+80=149, Resulting Numbers: [149]
149,69 unequal: No Solution
Exploring Operation: 80-69=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Moving to Node #0,2,0
Current State: 69:[26, 15], Operations: ['54-40=14', '29-14=15']
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,69 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[26, 15], Operations: ['40+29=69', '69-54=15']
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,69 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[29, 12], Operations: ['54-40=14', '26-14=12']
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,69 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Moving to Node #0,1,3
Current State: 69:[29, 12], Operations: ['40+26=66', '66-54=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 29*12=348, Resulting Numbers: [348]
348,69 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Moving to Node #0,1,0
Current State: 69:[66, 83], Operations: ['40+26=66', '54+29=83']
Exploring Operation: 83-66=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 66*83=5478, Resulting Numbers: [5478]
5478,69 unequal: No Solution
Exploring Operation: 66+83=149, Resulting Numbers: [149]
149,69 unequal: No Solution
Moving to Node #0,2,3
Current State: 69:[14, 55], Operations: ['54-40=14', '26+29=55']
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,69 unequal: No Solution
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[40, 26, 54, 29], Operations: []
Exploring Operation: 54-40=14, Resulting Numbers: [26, 29, 14]
Generated Node #0,2: 69:[26, 29, 14] Operation: 54-40=14
Moving to Node #0,2
Current State: 69:[26, 29, 14], Operations: ['54-40=14']
Exploring Operation: 26+29=55, Resulting Numbers: [14, 55]
Generated Node #0,2,3: 69:[14, 55] Operation: 26+29=55
Moving to Node #0,2,3
Current State: 69:[14, 55], Operations: ['54-40=14', '26+29=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.943576 | hs_4 | sum_heuristic |
[
66,
22,
25,
27
] | 49 | [
"66/22=3",
"25+27=52",
"52-3=49"
] | Current State: 49:[66, 22, 25, 27], Operations: []
Exploring Operation: 66/22=3, Resulting Numbers: [25, 27, 3]
Generated Node #2: [25, 27, 3] from Operation: 66/22=3
Current State: 49:[25, 27, 3], Operations: ['66/22=3']
Exploring Operation: 25+27=52, Resulting Numbers: [3, 52]
Generated Node #3: [3, 52] from Operation: 25+27=52
Current State: 49:[3, 52], Operations: ['66/22=3', '25+27=52']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[66, 22, 25, 27], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [66, 25, 49]
Generated Node #0,0: 49:[66, 25, 49] Operation: 22+27=49
Exploring Operation: 25+27=52, Resulting Numbers: [66, 22, 52]
Generated Node #0,1: 49:[66, 22, 52] Operation: 25+27=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[66, 25, 49], Operations: ['22+27=49']
Exploring Operation: 66-49=17, Resulting Numbers: [25, 17]
Generated Node #0,0,0: 49:[25, 17] Operation: 66-49=17
Exploring Operation: 66-25=41, Resulting Numbers: [49, 41]
Generated Node #0,0,1: 49:[49, 41] Operation: 66-25=41
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[49, 41], Operations: ['22+27=49', '66-25=41']
Exploring Operation: 49-41=8, Resulting Numbers: [8]
8,49 unequal: No Solution
Exploring Operation: 49+41=90, Resulting Numbers: [90]
90,49 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 #0,0,0
Current State: 49:[25, 17], Operations: ['22+27=49', '66-49=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,49 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: 49:[66, 22, 52], Operations: ['25+27=52']
Exploring Operation: 66/22=3, Resulting Numbers: [52, 3]
Generated Node #0,1,0: 49:[52, 3] Operation: 66/22=3
Exploring Operation: 66-22=44, Resulting Numbers: [52, 44]
Generated Node #0,1,1: 49:[52, 44] Operation: 66-22=44
Moving to Node #0,1,0
Current State: 49:[52, 3], Operations: ['25+27=52', '66/22=3']
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[66, 22, 25, 27], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [66, 22, 52]
Generated Node #0,1: 49:[66, 22, 52] Operation: 25+27=52
Moving to Node #0,1
Current State: 49:[66, 22, 52], Operations: ['25+27=52']
Exploring Operation: 66/22=3, Resulting Numbers: [52, 3]
Generated Node #0,1,0: 49:[52, 3] Operation: 66/22=3
Moving to Node #0,1,0
Current State: 49:[52, 3], Operations: ['25+27=52', '66/22=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
18,
35,
77,
45
] | 85 | [
"18+35=53",
"77-45=32",
"53+32=85"
] | Current State: 85:[18, 35, 77, 45], Operations: []
Exploring Operation: 18+35=53, Resulting Numbers: [77, 45, 53]
Generated Node #2: [77, 45, 53] from Operation: 18+35=53
Current State: 85:[77, 45, 53], Operations: ['18+35=53']
Exploring Operation: 77-45=32, Resulting Numbers: [53, 32]
Generated Node #3: [53, 32] from Operation: 77-45=32
Current State: 85:[53, 32], Operations: ['18+35=53', '77-45=32']
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[18, 35, 77, 45], Operations: []
Exploring Operation: 35+45=80, Resulting Numbers: [18, 77, 80]
Generated Node #0,0: 85:[18, 77, 80] Operation: 35+45=80
Moving to Node #0,0
Current State: 85:[18, 77, 80], Operations: ['35+45=80']
Exploring Operation: 80-77=3, Resulting Numbers: [18, 3]
Generated Node #0,0,0: 85:[18, 3] Operation: 80-77=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 85:[18, 3], Operations: ['35+45=80', '80-77=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,85 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,
91,
7,
7
] | 91 | [
"27*7=189",
"91+7=98",
"189-98=91"
] | Current State: 91:[27, 91, 7, 7], Operations: []
Exploring Operation: 27*7=189, Resulting Numbers: [91, 189]
Generated Node #2: [91, 189] from Operation: 27*7=189
Current State: 91:[91, 189], Operations: ['27*7=189']
Exploring Operation: 91+7=98, Resulting Numbers: [189, 98]
Generated Node #3: [189, 98] from Operation: 91+7=98
Current State: 91:[189, 98], Operations: ['27*7=189', '91+7=98']
Exploring Operation: 189-98=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[27, 91, 7, 7], Operations: []
Exploring Operation: 27-7=20, Resulting Numbers: [91, 7, 20]
Generated Node #0,0: 91:[91, 7, 20] Operation: 27-7=20
Exploring Operation: 27-7=20, Resulting Numbers: [91, 7, 20]
Generated Node #0,1: 91:[91, 7, 20] Operation: 27-7=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[91, 7, 20], Operations: ['27-7=20']
Exploring Operation: 20-7=13, Resulting Numbers: [91, 13]
Generated Node #0,0,0: 91:[91, 13] Operation: 20-7=13
Exploring Operation: 91/7=13, Resulting Numbers: [20, 13]
Generated Node #0,0,1: 91:[20, 13] Operation: 91/7=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[91, 13], Operations: ['27-7=20', '20-7=13']
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 91:[20, 13], Operations: ['27-7=20', '91/7=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[91, 7, 20], Operations: ['27-7=20']
Exploring Operation: 20-7=13, Resulting Numbers: [91, 13]
Generated Node #0,1,0: 91:[91, 13] Operation: 20-7=13
Exploring Operation: 91/7=13, Resulting Numbers: [20, 13]
Generated Node #0,1,1: 91:[20, 13] Operation: 91/7=13
Moving to Node #0,1,0
Current State: 91:[91, 13], Operations: ['27-7=20', '20-7=13']
Exploring Operation: 91/13=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 91+13=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[20, 13], Operations: ['27-7=20', '91/7=13']
Exploring Operation: 20+13=33, Resulting Numbers: [33]
33,91 unequal: No Solution
Exploring Operation: 20-13=7, Resulting Numbers: [7]
7,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
97,
3,
91,
97
] | 88 | [
"97+3=100",
"91+97=188",
"188-100=88"
] | Current State: 88:[97, 3, 91, 97], Operations: []
Exploring Operation: 97+3=100, Resulting Numbers: [91, 100]
Generated Node #2: [91, 100] from Operation: 97+3=100
Current State: 88:[91, 100], Operations: ['97+3=100']
Exploring Operation: 91+97=188, Resulting Numbers: [100, 188]
Generated Node #3: [100, 188] from Operation: 91+97=188
Current State: 88:[100, 188], Operations: ['97+3=100', '91+97=188']
Exploring Operation: 188-100=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[97, 3, 91, 97], Operations: []
Exploring Operation: 97/97=1, Resulting Numbers: [3, 91, 1]
Generated Node #0,0: 88:[3, 91, 1] Operation: 97/97=1
Exploring Operation: 97-97=0, Resulting Numbers: [3, 91, 0]
Generated Node #0,1: 88:[3, 91, 0] Operation: 97-97=0
Exploring Operation: 97-91=6, Resulting Numbers: [3, 97, 6]
Generated Node #0,2: 88:[3, 97, 6] Operation: 97-91=6
Moving to Node #0,0
Current State: 88:[3, 91, 1], Operations: ['97/97=1']
Exploring Operation: 91-3=88, Resulting Numbers: [1, 88]
Generated Node #0,0,0: 88:[1, 88] Operation: 91-3=88
Exploring Operation: 3+1=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 88:[91, 4] Operation: 3+1=4
Exploring Operation: 3-1=2, Resulting Numbers: [91, 2]
Generated Node #0,0,2: 88:[91, 2] Operation: 3-1=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 88:[1, 88], Operations: ['97/97=1', '91-3=88']
Exploring Operation: 1+88=89, Resulting Numbers: [89]
89,88 unequal: No Solution
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[97, 3, 91, 97], Operations: []
Exploring Operation: 97/97=1, Resulting Numbers: [3, 91, 1]
Generated Node #0,0: 88:[3, 91, 1] Operation: 97/97=1
Moving to Node #0,0
Current State: 88:[3, 91, 1], Operations: ['97/97=1']
Exploring Operation: 91-3=88, Resulting Numbers: [1, 88]
Generated Node #0,0,0: 88:[1, 88] Operation: 91-3=88
Moving to Node #0,0,0
Current State: 88:[1, 88], Operations: ['97/97=1', '91-3=88']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
10,
22,
3,
2
] | 71 | [
"10/2=5",
"22*3=66",
"5+66=71"
] | Current State: 71:[10, 22, 3, 2], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [22, 3, 5]
Generated Node #2: [22, 3, 5] from Operation: 10/2=5
Current State: 71:[22, 3, 5], Operations: ['10/2=5']
Exploring Operation: 22*3=66, Resulting Numbers: [5, 66]
Generated Node #3: [5, 66] from Operation: 22*3=66
Current State: 71:[5, 66], Operations: ['10/2=5', '22*3=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[10, 22, 3, 2], Operations: []
Exploring Operation: 22*3=66, Resulting Numbers: [10, 2, 66]
Generated Node #0,0: 71:[10, 2, 66] Operation: 22*3=66
Exploring Operation: 22*2=44, Resulting Numbers: [10, 3, 44]
Generated Node #0,1: 71:[10, 3, 44] Operation: 22*2=44
Moving to Node #0,0
Current State: 71:[10, 2, 66], Operations: ['22*3=66']
Exploring Operation: 10*2=20, Resulting Numbers: [66, 20]
Generated Node #0,0,0: 71:[66, 20] Operation: 10*2=20
Exploring Operation: 10+2=12, Resulting Numbers: [66, 12]
Generated Node #0,0,1: 71:[66, 12] Operation: 10+2=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[66, 20], Operations: ['22*3=66', '10*2=20']
Exploring Operation: 66-20=46, Resulting Numbers: [46]
46,71 unequal: No Solution
Exploring Operation: 66+20=86, Resulting Numbers: [86]
86,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[66, 12], Operations: ['22*3=66', '10+2=12']
Exploring Operation: 66+12=78, Resulting Numbers: [78]
78,71 unequal: No Solution
Exploring Operation: 66-12=54, Resulting Numbers: [54]
54,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 71:[10, 3, 44], Operations: ['22*2=44']
Exploring Operation: 10*3=30, Resulting Numbers: [44, 30]
Generated Node #0,1,0: 71:[44, 30] Operation: 10*3=30
Exploring Operation: 10+3=13, Resulting Numbers: [44, 13]
Generated Node #0,1,1: 71:[44, 13] Operation: 10+3=13
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[44, 30], Operations: ['22*2=44', '10*3=30']
Exploring Operation: 44-30=14, Resulting Numbers: [14]
14,71 unequal: No Solution
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[44, 13], Operations: ['22*2=44', '10+3=13']
Exploring Operation: 44+13=57, Resulting Numbers: [57]
57,71 unequal: No Solution
Exploring Operation: 44-13=31, Resulting Numbers: [31]
31,71 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 |
[
90,
93,
53,
84
] | 28 | [
"93-90=3",
"84-53=31",
"31-3=28"
] | Current State: 28:[90, 93, 53, 84], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [53, 84, 3]
Generated Node #2: [53, 84, 3] from Operation: 93-90=3
Current State: 28:[53, 84, 3], Operations: ['93-90=3']
Exploring Operation: 84-53=31, Resulting Numbers: [3, 31]
Generated Node #3: [3, 31] from Operation: 84-53=31
Current State: 28:[3, 31], Operations: ['93-90=3', '84-53=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[90, 93, 53, 84], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [53, 84, 3]
Generated Node #0,0: 28:[53, 84, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 28:[53, 84, 3], Operations: ['93-90=3']
Exploring Operation: 84-53=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 28:[3, 31] Operation: 84-53=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 28:[3, 31], Operations: ['93-90=3', '84-53=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[90, 93, 53, 84], Operations: []
Exploring Operation: 93-90=3, Resulting Numbers: [53, 84, 3]
Generated Node #0,0: 28:[53, 84, 3] Operation: 93-90=3
Moving to Node #0,0
Current State: 28:[53, 84, 3], Operations: ['93-90=3']
Exploring Operation: 84-53=31, Resulting Numbers: [3, 31]
Generated Node #0,0,0: 28:[3, 31] Operation: 84-53=31
Moving to Node #0,0,0
Current State: 28:[3, 31], Operations: ['93-90=3', '84-53=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
80,
19,
80,
97
] | 40 | [
"80+19=99",
"99-97=2",
"80/2=40"
] | Current State: 40:[80, 19, 80, 97], Operations: []
Exploring Operation: 80+19=99, Resulting Numbers: [97, 99]
Generated Node #2: [97, 99] from Operation: 80+19=99
Current State: 40:[97, 99], Operations: ['80+19=99']
Exploring Operation: 99-97=2, Resulting Numbers: [2]
2,40 equal: Goal Reached
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[80, 19, 80, 97], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [80, 19, 17]
Generated Node #0,0: 40:[80, 19, 17] Operation: 97-80=17
Exploring Operation: 80/80=1, Resulting Numbers: [19, 97, 1]
Generated Node #0,1: 40:[19, 97, 1] Operation: 80/80=1
Exploring Operation: 97-80=17, Resulting Numbers: [19, 80, 17]
Generated Node #0,2: 40:[19, 80, 17] Operation: 97-80=17
Exploring Operation: 80-80=0, Resulting Numbers: [19, 97, 0]
Generated Node #0,3: 40:[19, 97, 0] Operation: 80-80=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[80, 19, 17], Operations: ['97-80=17']
Exploring Operation: 19+17=36, Resulting Numbers: [80, 36]
Generated Node #0,0,0: 40:[80, 36] Operation: 19+17=36
Exploring Operation: 80-17=63, Resulting Numbers: [19, 63]
Generated Node #0,0,1: 40:[19, 63] Operation: 80-17=63
Exploring Operation: 19-17=2, Resulting Numbers: [80, 2]
Generated Node #0,0,2: 40:[80, 2] Operation: 19-17=2
Exploring Operation: 80-19=61, Resulting Numbers: [17, 61]
Generated Node #0,0,3: 40:[17, 61] Operation: 80-19=61
Moving to Node #0,0,1
Current State: 40:[19, 63], Operations: ['97-80=17', '80-17=63']
Exploring Operation: 19+63=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Exploring Operation: 19*63=1197, Resulting Numbers: [1197]
1197,40 unequal: No Solution
Exploring Operation: 63-19=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Moving to Node #0,0,3
Current State: 40:[17, 61], Operations: ['97-80=17', '80-19=61']
Exploring Operation: 17*61=1037, Resulting Numbers: [1037]
1037,40 unequal: No Solution
Exploring Operation: 61-17=44, Resulting Numbers: [44]
44,40 unequal: No Solution
Exploring Operation: 17+61=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[80, 2], Operations: ['97-80=17', '19-17=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,40 unequal: No Solution
Exploring Operation: 80-2=78, Resulting Numbers: [78]
78,40 unequal: No Solution
Exploring Operation: 80*2=160, Resulting Numbers: [160]
160,40 unequal: No Solution
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[80, 19, 80, 97], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [80, 19, 17]
Generated Node #0,0: 40:[80, 19, 17] Operation: 97-80=17
Moving to Node #0,0
Current State: 40:[80, 19, 17], Operations: ['97-80=17']
Exploring Operation: 19-17=2, Resulting Numbers: [80, 2]
Generated Node #0,0,2: 40:[80, 2] Operation: 19-17=2
Moving to Node #0,0,2
Current State: 40:[80, 2], Operations: ['97-80=17', '19-17=2']
Exploring Operation: 80/2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | sum_heuristic |
[
94,
94,
64,
49
] | 49 | [
"94-94=0",
"64*0=0",
"49+0=49"
] | Current State: 49:[94, 94, 64, 49], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [64, 49, 0]
Generated Node #2: [64, 49, 0] from Operation: 94-94=0
Current State: 49:[64, 49, 0], Operations: ['94-94=0']
Exploring Operation: 64*0=0, Resulting Numbers: [49, 0]
Generated Node #3: [49, 0] from Operation: 64*0=0
Current State: 49:[49, 0], Operations: ['94-94=0', '64*0=0']
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[94, 94, 64, 49], Operations: []
Exploring Operation: 94-49=45, Resulting Numbers: [94, 64, 45]
Generated Node #0,0: 49:[94, 64, 45] Operation: 94-49=45
Exploring Operation: 94-94=0, Resulting Numbers: [64, 49, 0]
Generated Node #0,1: 49:[64, 49, 0] Operation: 94-94=0
Exploring Operation: 94-64=30, Resulting Numbers: [94, 49, 30]
Generated Node #0,2: 49:[94, 49, 30] Operation: 94-64=30
Exploring Operation: 94/94=1, Resulting Numbers: [64, 49, 1]
Generated Node #0,3: 49:[64, 49, 1] Operation: 94/94=1
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[64, 49, 1], Operations: ['94/94=1']
Exploring Operation: 64-49=15, Resulting Numbers: [1, 15]
Generated Node #0,3,0: 49:[1, 15] Operation: 64-49=15
Exploring Operation: 64*1=64, Resulting Numbers: [49, 64]
Generated Node #0,3,1: 49:[49, 64] Operation: 64*1=64
Exploring Operation: 64/1=64, Resulting Numbers: [49, 64]
Generated Node #0,3,2: 49:[49, 64] Operation: 64/1=64
Exploring Operation: 64-1=63, Resulting Numbers: [49, 63]
Generated Node #0,3,3: 49:[49, 63] Operation: 64-1=63
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 49:[1, 15], Operations: ['94/94=1', '64-49=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,49 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 #0,3,3
Current State: 49:[49, 63], Operations: ['94/94=1', '64-1=63']
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 49*63=3087, Resulting Numbers: [3087]
3087,49 unequal: No Solution
Exploring Operation: 49+63=112, Resulting Numbers: [112]
112,49 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 #0,3,1
Current State: 49:[49, 64], Operations: ['94/94=1', '64*1=64']
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,49 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 #0,3,2
Current State: 49:[49, 64], Operations: ['94/94=1', '64/1=64']
Exploring Operation: 49*64=3136, Resulting Numbers: [3136]
3136,49 unequal: No Solution
Exploring Operation: 49+64=113, Resulting Numbers: [113]
113,49 unequal: No Solution
Exploring Operation: 64-49=15, Resulting Numbers: [15]
15,49 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: 49:[64, 49, 0], Operations: ['94-94=0']
Exploring Operation: 64*0=0, Resulting Numbers: [49, 0]
Generated Node #0,1,0: 49:[49, 0] Operation: 64*0=0
Exploring Operation: 64+0=64, Resulting Numbers: [49, 64]
Generated Node #0,1,1: 49:[49, 64] Operation: 64+0=64
Exploring Operation: 64-49=15, Resulting Numbers: [0, 15]
Generated Node #0,1,2: 49:[0, 15] Operation: 64-49=15
Exploring Operation: 64-0=64, Resulting Numbers: [49, 64]
Generated Node #0,1,3: 49:[49, 64] Operation: 64-0=64
Moving to Node #0,1,0
Current State: 49:[49, 0], Operations: ['94-94=0', '64*0=0']
Exploring Operation: 49*0=0, Resulting Numbers: [0]
0,49 unequal: No Solution
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[94, 94, 64, 49], Operations: []
Exploring Operation: 94-94=0, Resulting Numbers: [64, 49, 0]
Generated Node #0,1: 49:[64, 49, 0] Operation: 94-94=0
Moving to Node #0,1
Current State: 49:[64, 49, 0], Operations: ['94-94=0']
Exploring Operation: 64*0=0, Resulting Numbers: [49, 0]
Generated Node #0,1,0: 49:[49, 0] Operation: 64*0=0
Moving to Node #0,1,0
Current State: 49:[49, 0], Operations: ['94-94=0', '64*0=0']
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.97309 | hs_4 | mult_heuristic |
[
54,
55,
64,
7
] | 56 | [
"55-54=1",
"64-7=57",
"57-1=56"
] | Current State: 56:[54, 55, 64, 7], Operations: []
Exploring Operation: 55-54=1, Resulting Numbers: [64, 7, 1]
Generated Node #2: [64, 7, 1] from Operation: 55-54=1
Current State: 56:[64, 7, 1], Operations: ['55-54=1']
Exploring Operation: 64-7=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 64-7=57
Current State: 56:[1, 57], Operations: ['55-54=1', '64-7=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[54, 55, 64, 7], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [55, 7, 10]
Generated Node #0,0: 56:[55, 7, 10] Operation: 64-54=10
Exploring Operation: 55-54=1, Resulting Numbers: [64, 7, 1]
Generated Node #0,1: 56:[64, 7, 1] Operation: 55-54=1
Exploring Operation: 64-7=57, Resulting Numbers: [54, 55, 57]
Generated Node #0,2: 56:[54, 55, 57] Operation: 64-7=57
Exploring Operation: 64-55=9, Resulting Numbers: [54, 7, 9]
Generated Node #0,3: 56:[54, 7, 9] Operation: 64-55=9
Moving to Node #0,0
Current State: 56:[55, 7, 10], Operations: ['64-54=10']
Exploring Operation: 10-7=3, Resulting Numbers: [55, 3]
Generated Node #0,0,0: 56:[55, 3] Operation: 10-7=3
Exploring Operation: 55+7=62, Resulting Numbers: [10, 62]
Generated Node #0,0,1: 56:[10, 62] Operation: 55+7=62
Exploring Operation: 55+10=65, Resulting Numbers: [7, 65]
Generated Node #0,0,2: 56:[7, 65] Operation: 55+10=65
Exploring Operation: 7+10=17, Resulting Numbers: [55, 17]
Generated Node #0,0,3: 56:[55, 17] Operation: 7+10=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[55, 3], Operations: ['64-54=10', '10-7=3']
Exploring Operation: 55*3=165, Resulting Numbers: [165]
165,56 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,56 unequal: No Solution
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,56 unequal: No Solution
No 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: 56:[55, 17], Operations: ['64-54=10', '7+10=17']
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,56 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,56 unequal: No Solution
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,56 unequal: No Solution
No 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: 56:[10, 62], Operations: ['64-54=10', '55+7=62']
Exploring Operation: 10*62=620, Resulting Numbers: [620]
620,56 unequal: No Solution
Exploring Operation: 10+62=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,56 unequal: No Solution
No 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: 56:[7, 65], Operations: ['64-54=10', '55+10=65']
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,56 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,56 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: 56:[54, 7, 9], Operations: ['64-55=9']
Exploring Operation: 9-7=2, Resulting Numbers: [54, 2]
Generated Node #0,3,0: 56:[54, 2] Operation: 9-7=2
Exploring Operation: 54+7=61, Resulting Numbers: [9, 61]
Generated Node #0,3,1: 56:[9, 61] Operation: 54+7=61
Exploring Operation: 54/9=6, Resulting Numbers: [7, 6]
Generated Node #0,3,2: 56:[7, 6] Operation: 54/9=6
Exploring Operation: 7+9=16, Resulting Numbers: [54, 16]
Generated Node #0,3,3: 56:[54, 16] Operation: 7+9=16
Moving to Node #0,2
Current State: 56:[54, 55, 57], Operations: ['64-7=57']
Exploring Operation: 55-54=1, Resulting Numbers: [57, 1]
Generated Node #0,2,0: 56:[57, 1] Operation: 55-54=1
Exploring Operation: 57-54=3, Resulting Numbers: [55, 3]
Generated Node #0,2,1: 56:[55, 3] Operation: 57-54=3
Exploring Operation: 57-55=2, Resulting Numbers: [54, 2]
Generated Node #0,2,2: 56:[54, 2] Operation: 57-55=2
Exploring Operation: 54+55=109, Resulting Numbers: [57, 109]
Generated Node #0,2,3: 56:[57, 109] Operation: 54+55=109
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[57, 1], Operations: ['64-7=57', '55-54=1']
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,56 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,56 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[54, 55, 64, 7], Operations: []
Exploring Operation: 64-7=57, Resulting Numbers: [54, 55, 57]
Generated Node #0,2: 56:[54, 55, 57] Operation: 64-7=57
Moving to Node #0,2
Current State: 56:[54, 55, 57], Operations: ['64-7=57']
Exploring Operation: 55-54=1, Resulting Numbers: [57, 1]
Generated Node #0,2,0: 56:[57, 1] Operation: 55-54=1
Moving to Node #0,2,0
Current State: 56:[57, 1], Operations: ['64-7=57', '55-54=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.96875 | hs_4 | sum_heuristic |
[
30,
20,
33,
52
] | 95 | [
"30-20=10",
"33+52=85",
"10+85=95"
] | Current State: 95:[30, 20, 33, 52], Operations: []
Exploring Operation: 30-20=10, Resulting Numbers: [33, 52, 10]
Generated Node #2: [33, 52, 10] from Operation: 30-20=10
Current State: 95:[33, 52, 10], Operations: ['30-20=10']
Exploring Operation: 33+52=85, Resulting Numbers: [10, 85]
Generated Node #3: [10, 85] from Operation: 33+52=85
Current State: 95:[10, 85], Operations: ['30-20=10', '33+52=85']
Exploring Operation: 10+85=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[30, 20, 33, 52], Operations: []
Exploring Operation: 52-33=19, Resulting Numbers: [30, 20, 19]
Generated Node #0,0: 95:[30, 20, 19] Operation: 52-33=19
Exploring Operation: 52-30=22, Resulting Numbers: [20, 33, 22]
Generated Node #0,1: 95:[20, 33, 22] Operation: 52-30=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[30, 20, 19], Operations: ['52-33=19']
Exploring Operation: 30-19=11, Resulting Numbers: [20, 11]
Generated Node #0,0,0: 95:[20, 11] Operation: 30-19=11
Exploring Operation: 30-20=10, Resulting Numbers: [19, 10]
Generated Node #0,0,1: 95:[19, 10] Operation: 30-20=10
Moving to Node #0,0,1
Current State: 95:[19, 10], Operations: ['52-33=19', '30-20=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[20, 11], Operations: ['52-33=19', '30-19=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[20, 33, 22], Operations: ['52-30=22']
Exploring Operation: 33-22=11, Resulting Numbers: [20, 11]
Generated Node #0,1,0: 95:[20, 11] Operation: 33-22=11
Exploring Operation: 33-20=13, Resulting Numbers: [22, 13]
Generated Node #0,1,1: 95:[22, 13] Operation: 33-20=13
Moving to Node #0,1,0
Current State: 95:[20, 11], Operations: ['52-30=22', '33-22=11']
Exploring Operation: 20+11=31, Resulting Numbers: [31]
31,95 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,95 unequal: No Solution
Moving to Node #0,1,1
Current State: 95:[22, 13], Operations: ['52-30=22', '33-20=13']
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,95 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,95 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 |
[
11,
40,
28,
22
] | 52 | [
"22/11=2",
"40*2=80",
"80-28=52"
] | Current State: 52:[11, 40, 28, 22], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [40, 28, 2]
Generated Node #2: [40, 28, 2] from Operation: 22/11=2
Current State: 52:[40, 28, 2], Operations: ['22/11=2']
Exploring Operation: 40*2=80, Resulting Numbers: [28, 80]
Generated Node #3: [28, 80] from Operation: 40*2=80
Current State: 52:[28, 80], Operations: ['22/11=2', '40*2=80']
Exploring Operation: 80-28=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[11, 40, 28, 22], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [11, 22, 12]
Generated Node #0,0: 52:[11, 22, 12] Operation: 40-28=12
Exploring Operation: 11+40=51, Resulting Numbers: [28, 22, 51]
Generated Node #0,1: 52:[28, 22, 51] Operation: 11+40=51
Exploring Operation: 40-22=18, Resulting Numbers: [11, 28, 18]
Generated Node #0,2: 52:[11, 28, 18] Operation: 40-22=18
Exploring Operation: 40-11=29, Resulting Numbers: [28, 22, 29]
Generated Node #0,3: 52:[28, 22, 29] Operation: 40-11=29
Exploring Operation: 22/11=2, Resulting Numbers: [40, 28, 2]
Generated Node #0,4: 52:[40, 28, 2] Operation: 22/11=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[11, 22, 12], Operations: ['40-28=12']
Exploring Operation: 22-12=10, Resulting Numbers: [11, 10]
Generated Node #0,0,0: 52:[11, 10] Operation: 22-12=10
Exploring Operation: 22-11=11, Resulting Numbers: [12, 11]
Generated Node #0,0,1: 52:[12, 11] Operation: 22-11=11
Exploring Operation: 12-11=1, Resulting Numbers: [22, 1]
Generated Node #0,0,2: 52:[22, 1] Operation: 12-11=1
Exploring Operation: 22/11=2, Resulting Numbers: [12, 2]
Generated Node #0,0,3: 52:[12, 2] Operation: 22/11=2
Exploring Operation: 11+12=23, Resulting Numbers: [22, 23]
Generated Node #0,0,4: 52:[22, 23] Operation: 11+12=23
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 52:[12, 2], Operations: ['40-28=12', '22/11=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,52 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 #0,0,1
Current State: 52:[12, 11], Operations: ['40-28=12', '22-11=11']
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,52 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 #0,0,0
Current State: 52:[11, 10], Operations: ['40-28=12', '22-12=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,52 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,52 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 #0,0,2
Current State: 52:[22, 1], Operations: ['40-28=12', '12-11=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,52 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 #0,0,4
Current State: 52:[22, 23], Operations: ['40-28=12', '11+12=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,52 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,52 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 #0,1
Current State: 52:[28, 22, 51], Operations: ['11+40=51']
Exploring Operation: 28+22=50, Resulting Numbers: [51, 50]
Generated Node #0,1,0: 52:[51, 50] Operation: 28+22=50
Exploring Operation: 22+51=73, Resulting Numbers: [28, 73]
Generated Node #0,1,1: 52:[28, 73] Operation: 22+51=73
Exploring Operation: 51-22=29, Resulting Numbers: [28, 29]
Generated Node #0,1,2: 52:[28, 29] Operation: 51-22=29
Exploring Operation: 51-28=23, Resulting Numbers: [22, 23]
Generated Node #0,1,3: 52:[22, 23] Operation: 51-28=23
Exploring Operation: 28-22=6, Resulting Numbers: [51, 6]
Generated Node #0,1,4: 52:[51, 6] Operation: 28-22=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[51, 50], Operations: ['11+40=51', '28+22=50']
Exploring Operation: 51*50=2550, Resulting Numbers: [2550]
2550,52 unequal: No Solution
Exploring Operation: 51-50=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 51+50=101, Resulting Numbers: [101]
101,52 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 #0,1,4
Current State: 52:[51, 6], Operations: ['11+40=51', '28-22=6']
Exploring Operation: 51*6=306, Resulting Numbers: [306]
306,52 unequal: No Solution
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 51-6=45, Resulting Numbers: [45]
45,52 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 #0,1,2
Current State: 52:[28, 29], Operations: ['11+40=51', '51-22=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,52 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 #0,1,3
Current State: 52:[22, 23], Operations: ['11+40=51', '51-28=23']
Exploring Operation: 22+23=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 22*23=506, Resulting Numbers: [506]
506,52 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 #0,1,1
Current State: 52:[28, 73], Operations: ['11+40=51', '22+51=73']
Exploring Operation: 28*73=2044, Resulting Numbers: [2044]
2044,52 unequal: No Solution
Exploring Operation: 73-28=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 28+73=101, Resulting Numbers: [101]
101,52 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 #0,2
Current State: 52:[11, 28, 18], Operations: ['40-22=18']
Exploring Operation: 28-18=10, Resulting Numbers: [11, 10]
Generated Node #0,2,0: 52:[11, 10] Operation: 28-18=10
Exploring Operation: 11+18=29, Resulting Numbers: [28, 29]
Generated Node #0,2,1: 52:[28, 29] Operation: 11+18=29
Exploring Operation: 28-11=17, Resulting Numbers: [18, 17]
Generated Node #0,2,2: 52:[18, 17] Operation: 28-11=17
Exploring Operation: 18-11=7, Resulting Numbers: [28, 7]
Generated Node #0,2,3: 52:[28, 7] Operation: 18-11=7
Exploring Operation: 28+18=46, Resulting Numbers: [11, 46]
Generated Node #0,2,4: 52:[11, 46] Operation: 28+18=46
Moving to Node #0,2,0
Current State: 52:[11, 10], Operations: ['40-22=18', '28-18=10']
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,52 unequal: No Solution
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[28, 7], Operations: ['40-22=18', '18-11=7']
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,52 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[28, 29], Operations: ['40-22=18', '11+18=29']
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,52 unequal: No Solution
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Moving to Node #0,2,4
Current State: 52:[11, 46], Operations: ['40-22=18', '28+18=46']
Exploring Operation: 11*46=506, Resulting Numbers: [506]
506,52 unequal: No Solution
Exploring Operation: 11+46=57, Resulting Numbers: [57]
57,52 unequal: No Solution
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[18, 17], Operations: ['40-22=18', '28-11=17']
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,52 unequal: No Solution
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,52 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 #0,3
Current State: 52:[28, 22, 29], Operations: ['40-11=29']
Exploring Operation: 22+29=51, Resulting Numbers: [28, 51]
Generated Node #0,3,0: 52:[28, 51] Operation: 22+29=51
Exploring Operation: 29-28=1, Resulting Numbers: [22, 1]
Generated Node #0,3,1: 52:[22, 1] Operation: 29-28=1
Exploring Operation: 28-22=6, Resulting Numbers: [29, 6]
Generated Node #0,3,2: 52:[29, 6] Operation: 28-22=6
Exploring Operation: 28+22=50, Resulting Numbers: [29, 50]
Generated Node #0,3,3: 52:[29, 50] Operation: 28+22=50
Exploring Operation: 29-22=7, Resulting Numbers: [28, 7]
Generated Node #0,3,4: 52:[28, 7] Operation: 29-22=7
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 52:[28, 51], Operations: ['40-11=29', '22+29=51']
Exploring Operation: 28*51=1428, Resulting Numbers: [1428]
1428,52 unequal: No Solution
Exploring Operation: 51-28=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 28+51=79, Resulting Numbers: [79]
79,52 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 #0,3,1
Current State: 52:[22, 1], Operations: ['40-11=29', '29-28=1']
Exploring Operation: 22-1=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 22+1=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 22/1=22, Resulting Numbers: [22]
22,52 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 #0,3,2
Current State: 52:[29, 6], Operations: ['40-11=29', '28-22=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 29*6=174, Resulting Numbers: [174]
174,52 unequal: No Solution
Exploring Operation: 29-6=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 #0,3,3
Current State: 52:[29, 50], Operations: ['40-11=29', '28+22=50']
Exploring Operation: 50-29=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 29*50=1450, Resulting Numbers: [1450]
1450,52 unequal: No Solution
Exploring Operation: 29+50=79, Resulting Numbers: [79]
79,52 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 #0,3,4
Current State: 52:[28, 7], Operations: ['40-11=29', '29-22=7']
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,52 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,52 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,52 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 #0,4
Current State: 52:[40, 28, 2], Operations: ['22/11=2']
Exploring Operation: 28/2=14, Resulting Numbers: [40, 14]
Generated Node #0,4,0: 52:[40, 14] Operation: 28/2=14
Exploring Operation: 40-28=12, Resulting Numbers: [2, 12]
Generated Node #0,4,1: 52:[2, 12] Operation: 40-28=12
Exploring Operation: 40+2=42, Resulting Numbers: [28, 42]
Generated Node #0,4,2: 52:[28, 42] Operation: 40+2=42
Exploring Operation: 28-2=26, Resulting Numbers: [40, 26]
Generated Node #0,4,3: 52:[40, 26] Operation: 28-2=26
Exploring Operation: 40/2=20, Resulting Numbers: [28, 20]
Generated Node #0,4,4: 52:[28, 20] Operation: 40/2=20
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 52:[2, 12], Operations: ['22/11=2', '40-28=12']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,52 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,52 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 #0,4,4
Current State: 52:[28, 20], Operations: ['22/11=2', '40/2=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,52 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,52 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 #0,4,2
Current State: 52:[28, 42], Operations: ['22/11=2', '40+2=42']
Exploring Operation: 28*42=1176, Resulting Numbers: [1176]
1176,52 unequal: No Solution
Exploring Operation: 28+42=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,52 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 #0,4,3
Current State: 52:[40, 26], Operations: ['22/11=2', '28-2=26']
Exploring Operation: 40*26=1040, Resulting Numbers: [1040]
1040,52 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,52 unequal: No Solution
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,52 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 #0,4,0
Current State: 52:[40, 14], Operations: ['22/11=2', '28/2=14']
Exploring Operation: 40+14=54, Resulting Numbers: [54]
54,52 unequal: No Solution
Exploring Operation: 40*14=560, Resulting Numbers: [560]
560,52 unequal: No Solution
Exploring Operation: 40-14=26, Resulting Numbers: [26]
26,52 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
No solution found.
| 0 | hs_5 | mult_heuristic |
[
3,
23,
30,
58
] | 97 | [
"3*23=69",
"58-30=28",
"69+28=97"
] | Current State: 97:[3, 23, 30, 58], Operations: []
Exploring Operation: 3*23=69, Resulting Numbers: [30, 58, 69]
Generated Node #2: [30, 58, 69] from Operation: 3*23=69
Current State: 97:[30, 58, 69], Operations: ['3*23=69']
Exploring Operation: 58-30=28, Resulting Numbers: [69, 28]
Generated Node #3: [69, 28] from Operation: 58-30=28
Current State: 97:[69, 28], Operations: ['3*23=69', '58-30=28']
Exploring Operation: 69+28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[3, 23, 30, 58], Operations: []
Exploring Operation: 3*30=90, Resulting Numbers: [23, 58, 90]
Generated Node #0,0: 97:[23, 58, 90] Operation: 3*30=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[23, 58, 90], Operations: ['3*30=90']
Exploring Operation: 23+58=81, Resulting Numbers: [90, 81]
Generated Node #0,0,0: 97:[90, 81] Operation: 23+58=81
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[90, 81], Operations: ['3*30=90', '23+58=81']
Exploring Operation: 90+81=171, Resulting Numbers: [171]
171,97 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 |
[
5,
53,
6,
29
] | 86 | [
"5*29=145",
"53+6=59",
"145-59=86"
] | Current State: 86:[5, 53, 6, 29], Operations: []
Exploring Operation: 5*29=145, Resulting Numbers: [53, 6, 145]
Generated Node #2: [53, 6, 145] from Operation: 5*29=145
Current State: 86:[53, 6, 145], Operations: ['5*29=145']
Exploring Operation: 53+6=59, Resulting Numbers: [145, 59]
Generated Node #3: [145, 59] from Operation: 53+6=59
Current State: 86:[145, 59], Operations: ['5*29=145', '53+6=59']
Exploring Operation: 145-59=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[5, 53, 6, 29], Operations: []
Exploring Operation: 53+29=82, Resulting Numbers: [5, 6, 82]
Generated Node #0,0: 86:[5, 6, 82] Operation: 53+29=82
Exploring Operation: 6+29=35, Resulting Numbers: [5, 53, 35]
Generated Node #0,1: 86:[5, 53, 35] Operation: 6+29=35
Exploring Operation: 53-6=47, Resulting Numbers: [5, 29, 47]
Generated Node #0,2: 86:[5, 29, 47] Operation: 53-6=47
Exploring Operation: 53-5=48, Resulting Numbers: [6, 29, 48]
Generated Node #0,3: 86:[6, 29, 48] Operation: 53-5=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[5, 6, 82], Operations: ['53+29=82']
Exploring Operation: 5+6=11, Resulting Numbers: [82, 11]
Generated Node #0,0,0: 86:[82, 11] Operation: 5+6=11
Exploring Operation: 5+82=87, Resulting Numbers: [6, 87]
Generated Node #0,0,1: 86:[6, 87] Operation: 5+82=87
Exploring Operation: 6+82=88, Resulting Numbers: [5, 88]
Generated Node #0,0,2: 86:[5, 88] Operation: 6+82=88
Exploring Operation: 6-5=1, Resulting Numbers: [82, 1]
Generated Node #0,0,3: 86:[82, 1] Operation: 6-5=1
Moving to Node #0,0,1
Current State: 86:[6, 87], Operations: ['53+29=82', '5+82=87']
Exploring Operation: 87-6=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 6+87=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 6*87=522, Resulting Numbers: [522]
522,86 unequal: No Solution
Moving to Node #0,0,3
Current State: 86:[82, 1], Operations: ['53+29=82', '6-5=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Exploring Operation: 82+1=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 82-1=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Exploring Operation: 82/1=82, Resulting Numbers: [82]
82,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[5, 88], Operations: ['53+29=82', '6+82=88']
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,86 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[82, 11], Operations: ['53+29=82', '5+6=11']
Exploring Operation: 82-11=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 82*11=902, Resulting Numbers: [902]
902,86 unequal: No Solution
Exploring Operation: 82+11=93, Resulting Numbers: [93]
93,86 unequal: No Solution
No 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: 86:[5, 53, 35], Operations: ['6+29=35']
Exploring Operation: 35/5=7, Resulting Numbers: [53, 7]
Generated Node #0,1,0: 86:[53, 7] Operation: 35/5=7
Exploring Operation: 53+35=88, Resulting Numbers: [5, 88]
Generated Node #0,1,1: 86:[5, 88] Operation: 53+35=88
Exploring Operation: 53-5=48, Resulting Numbers: [35, 48]
Generated Node #0,1,2: 86:[35, 48] Operation: 53-5=48
Exploring Operation: 5+35=40, Resulting Numbers: [53, 40]
Generated Node #0,1,3: 86:[53, 40] Operation: 5+35=40
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[5, 88], Operations: ['6+29=35', '53+35=88']
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,86 unequal: No Solution
No 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: 86:[35, 48], Operations: ['6+29=35', '53-5=48']
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 35*48=1680, Resulting Numbers: [1680]
1680,86 unequal: No Solution
Exploring Operation: 35+48=83, Resulting Numbers: [83]
83,86 unequal: No Solution
No 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: 86:[53, 40], Operations: ['6+29=35', '5+35=40']
Exploring Operation: 53+40=93, Resulting Numbers: [93]
93,86 unequal: No Solution
Exploring Operation: 53*40=2120, Resulting Numbers: [2120]
2120,86 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,86 unequal: No Solution
No 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: 86:[53, 7], Operations: ['6+29=35', '35/5=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Exploring Operation: 53*7=371, Resulting Numbers: [371]
371,86 unequal: No Solution
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,86 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: 86:[5, 29, 47], Operations: ['53-6=47']
Exploring Operation: 5+29=34, Resulting Numbers: [47, 34]
Generated Node #0,2,0: 86:[47, 34] Operation: 5+29=34
Exploring Operation: 47-29=18, Resulting Numbers: [5, 18]
Generated Node #0,2,1: 86:[5, 18] Operation: 47-29=18
Exploring Operation: 47-5=42, Resulting Numbers: [29, 42]
Generated Node #0,2,2: 86:[29, 42] Operation: 47-5=42
Exploring Operation: 29+47=76, Resulting Numbers: [5, 76]
Generated Node #0,2,3: 86:[5, 76] Operation: 29+47=76
Moving to Node #0,2,0
Current State: 86:[47, 34], Operations: ['53-6=47', '5+29=34']
Exploring Operation: 47*34=1598, Resulting Numbers: [1598]
1598,86 unequal: No Solution
Exploring Operation: 47-34=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 47+34=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[5, 76], Operations: ['53-6=47', '29+47=76']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,86 unequal: No Solution
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[29, 42], Operations: ['53-6=47', '47-5=42']
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,86 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Moving to Node #0,2,1
Current State: 86:[5, 18], Operations: ['53-6=47', '47-29=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,86 unequal: No Solution
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,86 unequal: No Solution
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,86 unequal: No Solution
No 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: 86:[6, 29, 48], Operations: ['53-5=48']
Exploring Operation: 6+29=35, Resulting Numbers: [48, 35]
Generated Node #0,3,0: 86:[48, 35] Operation: 6+29=35
Exploring Operation: 48-6=42, Resulting Numbers: [29, 42]
Generated Node #0,3,1: 86:[29, 42] Operation: 48-6=42
Exploring Operation: 29+48=77, Resulting Numbers: [6, 77]
Generated Node #0,3,2: 86:[6, 77] Operation: 29+48=77
Exploring Operation: 48/6=8, Resulting Numbers: [29, 8]
Generated Node #0,3,3: 86:[29, 8] Operation: 48/6=8
Moving to Node #0,3,0
Current State: 86:[48, 35], Operations: ['53-5=48', '6+29=35']
Exploring Operation: 48+35=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 48-35=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 48*35=1680, Resulting Numbers: [1680]
1680,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[6, 77], Operations: ['53-5=48', '29+48=77']
Exploring Operation: 77-6=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 6+77=83, Resulting Numbers: [83]
83,86 unequal: No Solution
Exploring Operation: 6*77=462, Resulting Numbers: [462]
462,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[29, 42], Operations: ['53-5=48', '48-6=42']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,86 unequal: No Solution
Exploring Operation: 29+42=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 29*42=1218, Resulting Numbers: [1218]
1218,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[29, 8], Operations: ['53-5=48', '48/6=8']
Exploring Operation: 29*8=232, Resulting Numbers: [232]
232,86 unequal: No Solution
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,86 unequal: No Solution
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,86 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 |
[
41,
88,
49,
26
] | 57 | [
"88*26=2288",
"49+2288=2337",
"2337/41=57"
] | Current State: 57:[41, 88, 49, 26], Operations: []
Exploring Operation: 88*26=2288, Resulting Numbers: [41, 49, 2288]
Generated Node #2: [41, 49, 2288] from Operation: 88*26=2288
Current State: 57:[41, 49, 2288], Operations: ['88*26=2288']
Exploring Operation: 49+2288=2337, Resulting Numbers: [41, 2337]
Generated Node #3: [41, 2337] from Operation: 49+2288=2337
Current State: 57:[41, 2337], Operations: ['88*26=2288', '49+2288=2337']
Exploring Operation: 2337/41=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[41, 88, 49, 26], Operations: []
Exploring Operation: 88-49=39, Resulting Numbers: [41, 26, 39]
Generated Node #0,0: 57:[41, 26, 39] Operation: 88-49=39
Exploring Operation: 88-41=47, Resulting Numbers: [49, 26, 47]
Generated Node #0,1: 57:[49, 26, 47] Operation: 88-41=47
Exploring Operation: 88-26=62, Resulting Numbers: [41, 49, 62]
Generated Node #0,2: 57:[41, 49, 62] Operation: 88-26=62
Moving to Node #0,1
Current State: 57:[49, 26, 47], Operations: ['88-41=47']
Exploring Operation: 49-26=23, Resulting Numbers: [47, 23]
Generated Node #0,1,0: 57:[47, 23] Operation: 49-26=23
Exploring Operation: 47-26=21, Resulting Numbers: [49, 21]
Generated Node #0,1,1: 57:[49, 21] Operation: 47-26=21
Exploring Operation: 49-47=2, Resulting Numbers: [26, 2]
Generated Node #0,1,2: 57:[26, 2] Operation: 49-47=2
Moving to Node #0,2
Current State: 57:[41, 49, 62], Operations: ['88-26=62']
Exploring Operation: 62-41=21, Resulting Numbers: [49, 21]
Generated Node #0,2,0: 57:[49, 21] Operation: 62-41=21
Exploring Operation: 62-49=13, Resulting Numbers: [41, 13]
Generated Node #0,2,1: 57:[41, 13] Operation: 62-49=13
Exploring Operation: 49-41=8, Resulting Numbers: [62, 8]
Generated Node #0,2,2: 57:[62, 8] Operation: 49-41=8
Moving to Node #0,0
Current State: 57:[41, 26, 39], Operations: ['88-49=39']
Exploring Operation: 41-26=15, Resulting Numbers: [39, 15]
Generated Node #0,0,0: 57:[39, 15] Operation: 41-26=15
Exploring Operation: 39-26=13, Resulting Numbers: [41, 13]
Generated Node #0,0,1: 57:[41, 13] Operation: 39-26=13
Exploring Operation: 41-39=2, Resulting Numbers: [26, 2]
Generated Node #0,0,2: 57:[26, 2] Operation: 41-39=2
Moving to Node #0,1,2
Current State: 57:[26, 2], Operations: ['88-41=47', '49-47=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[26, 2], Operations: ['88-49=39', '41-39=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[49, 21], Operations: ['88-41=47', '47-26=21']
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,57 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Moving to Node #0,2,2
Current State: 57:[62, 8], Operations: ['88-26=62', '49-41=8']
Exploring Operation: 62-8=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 62*8=496, Resulting Numbers: [496]
496,57 unequal: No Solution
Exploring Operation: 62+8=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Moving to Node #0,2,0
Current State: 57:[49, 21], Operations: ['88-26=62', '62-41=21']
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,57 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Moving to Node #0,1,0
Current State: 57:[47, 23], Operations: ['88-41=47', '49-26=23']
Exploring Operation: 47*23=1081, Resulting Numbers: [1081]
1081,57 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Exploring Operation: 47+23=70, Resulting Numbers: [70]
70,57 unequal: No Solution
Moving to Node #0,2,1
Current State: 57:[41, 13], Operations: ['88-26=62', '62-49=13']
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[39, 15], Operations: ['88-49=39', '41-26=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,57 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[41, 13], Operations: ['88-49=39', '39-26=13']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 41+13=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 41*13=533, Resulting Numbers: [533]
533,57 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
6,
44,
18,
21
] | 43 | [
"6*18=108",
"44+21=65",
"108-65=43"
] | Current State: 43:[6, 44, 18, 21], Operations: []
Exploring Operation: 6*18=108, Resulting Numbers: [44, 21, 108]
Generated Node #2: [44, 21, 108] from Operation: 6*18=108
Current State: 43:[44, 21, 108], Operations: ['6*18=108']
Exploring Operation: 44+21=65, Resulting Numbers: [108, 65]
Generated Node #3: [108, 65] from Operation: 44+21=65
Current State: 43:[108, 65], Operations: ['6*18=108', '44+21=65']
Exploring Operation: 108-65=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[6, 44, 18, 21], Operations: []
Exploring Operation: 6+18=24, Resulting Numbers: [44, 21, 24]
Generated Node #0,0: 43:[44, 21, 24] Operation: 6+18=24
Exploring Operation: 6+21=27, Resulting Numbers: [44, 18, 27]
Generated Node #0,1: 43:[44, 18, 27] Operation: 6+21=27
Moving to Node #0,0
Current State: 43:[44, 21, 24], Operations: ['6+18=24']
Exploring Operation: 44-21=23, Resulting Numbers: [24, 23]
Generated Node #0,0,0: 43:[24, 23] Operation: 44-21=23
Exploring Operation: 21+24=45, Resulting Numbers: [44, 45]
Generated Node #0,0,1: 43:[44, 45] Operation: 21+24=45
Moving to Node #0,1
Current State: 43:[44, 18, 27], Operations: ['6+21=27']
Exploring Operation: 44-18=26, Resulting Numbers: [27, 26]
Generated Node #0,1,0: 43:[27, 26] Operation: 44-18=26
Exploring Operation: 18+27=45, Resulting Numbers: [44, 45]
Generated Node #0,1,1: 43:[44, 45] Operation: 18+27=45
Moving to Node #0,0,1
Current State: 43:[44, 45], Operations: ['6+18=24', '21+24=45']
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[44, 45], Operations: ['6+21=27', '18+27=45']
Exploring Operation: 45-44=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 44+45=89, Resulting Numbers: [89]
89,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[27, 26], Operations: ['6+21=27', '44-18=26']
Exploring Operation: 27-26=1, Resulting Numbers: [1]
1,43 unequal: No Solution
Exploring Operation: 27+26=53, Resulting Numbers: [53]
53,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[24, 23], Operations: ['6+18=24', '44-21=23']
Exploring Operation: 24+23=47, Resulting Numbers: [47]
47,43 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,43 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
3,
38,
73,
43
] | 81 | [
"38-3=35",
"73+43=116",
"116-35=81"
] | Current State: 81:[3, 38, 73, 43], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [73, 43, 35]
Generated Node #2: [73, 43, 35] from Operation: 38-3=35
Current State: 81:[73, 43, 35], Operations: ['38-3=35']
Exploring Operation: 73+43=116, Resulting Numbers: [35, 116]
Generated Node #3: [35, 116] from Operation: 73+43=116
Current State: 81:[35, 116], Operations: ['38-3=35', '73+43=116']
Exploring Operation: 116-35=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[3, 38, 73, 43], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [3, 73, 5]
Generated Node #0,0: 81:[3, 73, 5] Operation: 43-38=5
Exploring Operation: 73-43=30, Resulting Numbers: [3, 38, 30]
Generated Node #0,1: 81:[3, 38, 30] Operation: 73-43=30
Exploring Operation: 73-38=35, Resulting Numbers: [3, 43, 35]
Generated Node #0,2: 81:[3, 43, 35] Operation: 73-38=35
Exploring Operation: 38+43=81, Resulting Numbers: [3, 73, 81]
Generated Node #0,3: 81:[3, 73, 81] Operation: 38+43=81
Moving to Node #0,3
Current State: 81:[3, 73, 81], Operations: ['38+43=81']
Exploring Operation: 81/3=27, Resulting Numbers: [73, 27]
Generated Node #0,3,0: 81:[73, 27] Operation: 81/3=27
Exploring Operation: 73-3=70, Resulting Numbers: [81, 70]
Generated Node #0,3,1: 81:[81, 70] Operation: 73-3=70
Exploring Operation: 3+73=76, Resulting Numbers: [81, 76]
Generated Node #0,3,2: 81:[81, 76] Operation: 3+73=76
Exploring Operation: 81-73=8, Resulting Numbers: [3, 8]
Generated Node #0,3,3: 81:[3, 8] Operation: 81-73=8
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[3, 8], Operations: ['38+43=81', '81-73=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,81 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 #0,3,2
Current State: 81:[81, 76], Operations: ['38+43=81', '3+73=76']
Exploring Operation: 81*76=6156, Resulting Numbers: [6156]
6156,81 unequal: No Solution
Exploring Operation: 81+76=157, Resulting Numbers: [157]
157,81 unequal: No Solution
Exploring Operation: 81-76=5, Resulting Numbers: [5]
5,81 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 #0,3,0
Current State: 81:[73, 27], Operations: ['38+43=81', '81/3=27']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,81 unequal: No Solution
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,81 unequal: No Solution
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,81 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 #0,3,1
Current State: 81:[81, 70], Operations: ['38+43=81', '73-3=70']
Exploring Operation: 81*70=5670, Resulting Numbers: [5670]
5670,81 unequal: No Solution
Exploring Operation: 81+70=151, Resulting Numbers: [151]
151,81 unequal: No Solution
Exploring Operation: 81-70=11, Resulting Numbers: [11]
11,81 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: 81:[3, 73, 5], Operations: ['43-38=5']
Exploring Operation: 3+5=8, Resulting Numbers: [73, 8]
Generated Node #0,0,0: 81:[73, 8] Operation: 3+5=8
Exploring Operation: 5-3=2, Resulting Numbers: [73, 2]
Generated Node #0,0,1: 81:[73, 2] Operation: 5-3=2
Exploring Operation: 73+5=78, Resulting Numbers: [3, 78]
Generated Node #0,0,2: 81:[3, 78] Operation: 73+5=78
Exploring Operation: 3+73=76, Resulting Numbers: [5, 76]
Generated Node #0,0,3: 81:[5, 76] Operation: 3+73=76
Moving to Node #0,1
Current State: 81:[3, 38, 30], Operations: ['73-43=30']
Exploring Operation: 30/3=10, Resulting Numbers: [38, 10]
Generated Node #0,1,0: 81:[38, 10] Operation: 30/3=10
Exploring Operation: 30-3=27, Resulting Numbers: [38, 27]
Generated Node #0,1,1: 81:[38, 27] Operation: 30-3=27
Exploring Operation: 38-30=8, Resulting Numbers: [3, 8]
Generated Node #0,1,2: 81:[3, 8] Operation: 38-30=8
Exploring Operation: 38-3=35, Resulting Numbers: [30, 35]
Generated Node #0,1,3: 81:[30, 35] Operation: 38-3=35
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 81:[3, 8], Operations: ['73-43=30', '38-30=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,81 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:[38, 27], Operations: ['73-43=30', '30-3=27']
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 38*27=1026, Resulting Numbers: [1026]
1026,81 unequal: No Solution
Exploring Operation: 38+27=65, Resulting Numbers: [65]
65,81 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 #0,1,3
Current State: 81:[30, 35], Operations: ['73-43=30', '38-3=35']
Exploring Operation: 30+35=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 30*35=1050, Resulting Numbers: [1050]
1050,81 unequal: No Solution
Exploring Operation: 35-30=5, Resulting Numbers: [5]
5,81 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 #0,1,0
Current State: 81:[38, 10], Operations: ['73-43=30', '30/3=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,81 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: 81:[3, 43, 35], Operations: ['73-38=35']
Exploring Operation: 43+35=78, Resulting Numbers: [3, 78]
Generated Node #0,2,0: 81:[3, 78] Operation: 43+35=78
Exploring Operation: 43-3=40, Resulting Numbers: [35, 40]
Generated Node #0,2,1: 81:[35, 40] Operation: 43-3=40
Exploring Operation: 35-3=32, Resulting Numbers: [43, 32]
Generated Node #0,2,2: 81:[43, 32] Operation: 35-3=32
Exploring Operation: 43-35=8, Resulting Numbers: [3, 8]
Generated Node #0,2,3: 81:[3, 8] Operation: 43-35=8
Moving to Node #0,2,3
Current State: 81:[3, 8], Operations: ['73-38=35', '43-35=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,81 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[3, 78], Operations: ['73-38=35', '43+35=78']
Exploring Operation: 78-3=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 78/3=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[3, 38, 73, 43], Operations: []
Exploring Operation: 73-38=35, Resulting Numbers: [3, 43, 35]
Generated Node #0,2: 81:[3, 43, 35] Operation: 73-38=35
Moving to Node #0,2
Current State: 81:[3, 43, 35], Operations: ['73-38=35']
Exploring Operation: 43+35=78, Resulting Numbers: [3, 78]
Generated Node #0,2,0: 81:[3, 78] Operation: 43+35=78
Moving to Node #0,2,0
Current State: 81:[3, 78], Operations: ['73-38=35', '43+35=78']
Exploring Operation: 3+78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 0.953125 | hs_4 | sum_heuristic |
[
32,
43,
34,
35
] | 30 | [
"43-35=8",
"32/8=4",
"34-4=30"
] | Current State: 30:[32, 43, 34, 35], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [32, 34, 8]
Generated Node #2: [32, 34, 8] from Operation: 43-35=8
Current State: 30:[32, 34, 8], Operations: ['43-35=8']
Exploring Operation: 32/8=4, Resulting Numbers: [34, 4]
Generated Node #3: [34, 4] from Operation: 32/8=4
Current State: 30:[34, 4], Operations: ['43-35=8', '32/8=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[32, 43, 34, 35], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [32, 35, 9]
Generated Node #0,0: 30:[32, 35, 9] Operation: 43-34=9
Exploring Operation: 35-34=1, Resulting Numbers: [32, 43, 1]
Generated Node #0,1: 30:[32, 43, 1] Operation: 35-34=1
Exploring Operation: 43-32=11, Resulting Numbers: [34, 35, 11]
Generated Node #0,2: 30:[34, 35, 11] Operation: 43-32=11
Exploring Operation: 43-35=8, Resulting Numbers: [32, 34, 8]
Generated Node #0,3: 30:[32, 34, 8] Operation: 43-35=8
Exploring Operation: 35-32=3, Resulting Numbers: [43, 34, 3]
Generated Node #0,4: 30:[43, 34, 3] Operation: 35-32=3
Moving to Node #0,0
Current State: 30:[32, 35, 9], Operations: ['43-34=9']
Exploring Operation: 35+9=44, Resulting Numbers: [32, 44]
Generated Node #0,0,0: 30:[32, 44] Operation: 35+9=44
Exploring Operation: 32-9=23, Resulting Numbers: [35, 23]
Generated Node #0,0,1: 30:[35, 23] Operation: 32-9=23
Exploring Operation: 32+9=41, Resulting Numbers: [35, 41]
Generated Node #0,0,2: 30:[35, 41] Operation: 32+9=41
Exploring Operation: 35-32=3, Resulting Numbers: [9, 3]
Generated Node #0,0,3: 30:[9, 3] Operation: 35-32=3
Exploring Operation: 35-9=26, Resulting Numbers: [32, 26]
Generated Node #0,0,4: 30:[32, 26] Operation: 35-9=26
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 30:[9, 3], Operations: ['43-34=9', '35-32=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,30 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 30:[32, 26], Operations: ['43-34=9', '35-9=26']
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,30 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[35, 23], Operations: ['43-34=9', '32-9=23']
Exploring Operation: 35-23=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 35+23=58, Resulting Numbers: [58]
58,30 unequal: No Solution
Exploring Operation: 35*23=805, Resulting Numbers: [805]
805,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[32, 44], Operations: ['43-34=9', '35+9=44']
Exploring Operation: 44-32=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 32+44=76, Resulting Numbers: [76]
76,30 unequal: No Solution
Exploring Operation: 32*44=1408, Resulting Numbers: [1408]
1408,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 30:[35, 41], Operations: ['43-34=9', '32+9=41']
Exploring Operation: 35+41=76, Resulting Numbers: [76]
76,30 unequal: No Solution
Exploring Operation: 35*41=1435, Resulting Numbers: [1435]
1435,30 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,30 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: 30:[32, 34, 8], Operations: ['43-35=8']
Exploring Operation: 32/8=4, Resulting Numbers: [34, 4]
Generated Node #0,3,0: 30:[34, 4] Operation: 32/8=4
Exploring Operation: 34-8=26, Resulting Numbers: [32, 26]
Generated Node #0,3,1: 30:[32, 26] Operation: 34-8=26
Exploring Operation: 32-8=24, Resulting Numbers: [34, 24]
Generated Node #0,3,2: 30:[34, 24] Operation: 32-8=24
Exploring Operation: 32+8=40, Resulting Numbers: [34, 40]
Generated Node #0,3,3: 30:[34, 40] Operation: 32+8=40
Exploring Operation: 34-32=2, Resulting Numbers: [8, 2]
Generated Node #0,3,4: 30:[8, 2] Operation: 34-32=2
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 30:[8, 2], Operations: ['43-35=8', '34-32=2']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 30:[34, 4], Operations: ['43-35=8', '32/8=4']
Exploring Operation: 34*4=136, Resulting Numbers: [136]
136,30 unequal: No Solution
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[32, 43, 34, 35], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [32, 34, 8]
Generated Node #0,3: 30:[32, 34, 8] Operation: 43-35=8
Moving to Node #0,3
Current State: 30:[32, 34, 8], Operations: ['43-35=8']
Exploring Operation: 32/8=4, Resulting Numbers: [34, 4]
Generated Node #0,3,0: 30:[34, 4] Operation: 32/8=4
Moving to Node #0,3,0
Current State: 30:[34, 4], Operations: ['43-35=8', '32/8=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
45,
42,
78,
27
] | 54 | [
"45-42=3",
"78-27=51",
"3+51=54"
] | Current State: 54:[45, 42, 78, 27], Operations: []
Exploring Operation: 45-42=3, Resulting Numbers: [78, 27, 3]
Generated Node #2: [78, 27, 3] from Operation: 45-42=3
Current State: 54:[78, 27, 3], Operations: ['45-42=3']
Exploring Operation: 78-27=51, Resulting Numbers: [3, 51]
Generated Node #3: [3, 51] from Operation: 78-27=51
Current State: 54:[3, 51], Operations: ['45-42=3', '78-27=51']
Exploring Operation: 3+51=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[45, 42, 78, 27], Operations: []
Exploring Operation: 78-27=51, Resulting Numbers: [45, 42, 51]
Generated Node #0,0: 54:[45, 42, 51] Operation: 78-27=51
Exploring Operation: 78-45=33, Resulting Numbers: [42, 27, 33]
Generated Node #0,1: 54:[42, 27, 33] Operation: 78-45=33
Exploring Operation: 78-42=36, Resulting Numbers: [45, 27, 36]
Generated Node #0,2: 54:[45, 27, 36] Operation: 78-42=36
Exploring Operation: 45-42=3, Resulting Numbers: [78, 27, 3]
Generated Node #0,3: 54:[78, 27, 3] Operation: 45-42=3
Exploring Operation: 45-27=18, Resulting Numbers: [42, 78, 18]
Generated Node #0,4: 54:[42, 78, 18] Operation: 45-27=18
Moving to Node #0,1
Current State: 54:[42, 27, 33], Operations: ['78-45=33']
Exploring Operation: 42-33=9, Resulting Numbers: [27, 9]
Generated Node #0,1,0: 54:[27, 9] Operation: 42-33=9
Exploring Operation: 27+33=60, Resulting Numbers: [42, 60]
Generated Node #0,1,1: 54:[42, 60] Operation: 27+33=60
Exploring Operation: 33-27=6, Resulting Numbers: [42, 6]
Generated Node #0,1,2: 54:[42, 6] Operation: 33-27=6
Exploring Operation: 42-27=15, Resulting Numbers: [33, 15]
Generated Node #0,1,3: 54:[33, 15] Operation: 42-27=15
Exploring Operation: 42+27=69, Resulting Numbers: [33, 69]
Generated Node #0,1,4: 54:[33, 69] Operation: 42+27=69
Moving to Node #0,2
Current State: 54:[45, 27, 36], Operations: ['78-42=36']
Exploring Operation: 36-27=9, Resulting Numbers: [45, 9]
Generated Node #0,2,0: 54:[45, 9] Operation: 36-27=9
Exploring Operation: 45-27=18, Resulting Numbers: [36, 18]
Generated Node #0,2,1: 54:[36, 18] Operation: 45-27=18
Exploring Operation: 45+27=72, Resulting Numbers: [36, 72]
Generated Node #0,2,2: 54:[36, 72] Operation: 45+27=72
Exploring Operation: 27+36=63, Resulting Numbers: [45, 63]
Generated Node #0,2,3: 54:[45, 63] Operation: 27+36=63
Exploring Operation: 45-36=9, Resulting Numbers: [27, 9]
Generated Node #0,2,4: 54:[27, 9] Operation: 45-36=9
Moving to Node #0,0
Current State: 54:[45, 42, 51], Operations: ['78-27=51']
Exploring Operation: 51-45=6, Resulting Numbers: [42, 6]
Generated Node #0,0,0: 54:[42, 6] Operation: 51-45=6
Exploring Operation: 45-42=3, Resulting Numbers: [51, 3]
Generated Node #0,0,1: 54:[51, 3] Operation: 45-42=3
Exploring Operation: 51-42=9, Resulting Numbers: [45, 9]
Generated Node #0,0,2: 54:[45, 9] Operation: 51-42=9
Exploring Operation: 42+51=93, Resulting Numbers: [45, 93]
Generated Node #0,0,3: 54:[45, 93] Operation: 42+51=93
Exploring Operation: 45+42=87, Resulting Numbers: [51, 87]
Generated Node #0,0,4: 54:[51, 87] Operation: 45+42=87
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 54:[51, 3], Operations: ['78-27=51', '45-42=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[45, 42, 78, 27], Operations: []
Exploring Operation: 78-27=51, Resulting Numbers: [45, 42, 51]
Generated Node #0,0: 54:[45, 42, 51] Operation: 78-27=51
Moving to Node #0,0
Current State: 54:[45, 42, 51], Operations: ['78-27=51']
Exploring Operation: 45-42=3, Resulting Numbers: [51, 3]
Generated Node #0,0,1: 54:[51, 3] Operation: 45-42=3
Moving to Node #0,0,1
Current State: 54:[51, 3], Operations: ['78-27=51', '45-42=3']
Exploring Operation: 51+3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
4,
89,
13,
35
] | 99 | [
"4*89=356",
"13*35=455",
"455-356=99"
] | Current State: 99:[4, 89, 13, 35], Operations: []
Exploring Operation: 4*89=356, Resulting Numbers: [13, 35, 356]
Generated Node #2: [13, 35, 356] from Operation: 4*89=356
Current State: 99:[13, 35, 356], Operations: ['4*89=356']
Exploring Operation: 13*35=455, Resulting Numbers: [356, 455]
Generated Node #3: [356, 455] from Operation: 13*35=455
Current State: 99:[356, 455], Operations: ['4*89=356', '13*35=455']
Exploring Operation: 455-356=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[4, 89, 13, 35], Operations: []
Exploring Operation: 4+89=93, Resulting Numbers: [13, 35, 93]
Generated Node #0,0: 99:[13, 35, 93] Operation: 4+89=93
Exploring Operation: 89+13=102, Resulting Numbers: [4, 35, 102]
Generated Node #0,1: 99:[4, 35, 102] Operation: 89+13=102
Moving to Node #0,1
Current State: 99:[4, 35, 102], Operations: ['89+13=102']
Exploring Operation: 102-4=98, Resulting Numbers: [35, 98]
Generated Node #0,1,0: 99:[35, 98] Operation: 102-4=98
Exploring Operation: 35-4=31, Resulting Numbers: [102, 31]
Generated Node #0,1,1: 99:[102, 31] Operation: 35-4=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 99:[35, 98], Operations: ['89+13=102', '102-4=98']
Exploring Operation: 35+98=133, Resulting Numbers: [133]
133,99 unequal: No Solution
Exploring Operation: 98-35=63, Resulting Numbers: [63]
63,99 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 #0,1,1
Current State: 99:[102, 31], Operations: ['89+13=102', '35-4=31']
Exploring Operation: 102-31=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 102+31=133, Resulting Numbers: [133]
133,99 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: 99:[13, 35, 93], Operations: ['4+89=93']
Exploring Operation: 35-13=22, Resulting Numbers: [93, 22]
Generated Node #0,0,0: 99:[93, 22] Operation: 35-13=22
Exploring Operation: 13+93=106, Resulting Numbers: [35, 106]
Generated Node #0,0,1: 99:[35, 106] Operation: 13+93=106
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 99:[35, 106], Operations: ['4+89=93', '13+93=106']
Exploring Operation: 106-35=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 35+106=141, Resulting Numbers: [141]
141,99 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 #0,0,0
Current State: 99:[93, 22], Operations: ['4+89=93', '35-13=22']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,99 unequal: No Solution
Exploring Operation: 93+22=115, Resulting Numbers: [115]
115,99 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 |
[
79,
73,
81,
33
] | 14 | [
"79+33=112",
"81-73=8",
"112/8=14"
] | Current State: 14:[79, 73, 81, 33], Operations: []
Exploring Operation: 79+33=112, Resulting Numbers: [73, 81, 112]
Generated Node #2: [73, 81, 112] from Operation: 79+33=112
Current State: 14:[73, 81, 112], Operations: ['79+33=112']
Exploring Operation: 81-73=8, Resulting Numbers: [112, 8]
Generated Node #3: [112, 8] from Operation: 81-73=8
Current State: 14:[112, 8], Operations: ['79+33=112', '81-73=8']
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[79, 73, 81, 33], Operations: []
Exploring Operation: 79-73=6, Resulting Numbers: [81, 33, 6]
Generated Node #0,0: 14:[81, 33, 6] Operation: 79-73=6
Exploring Operation: 81-73=8, Resulting Numbers: [79, 33, 8]
Generated Node #0,1: 14:[79, 33, 8] Operation: 81-73=8
Exploring Operation: 81-79=2, Resulting Numbers: [73, 33, 2]
Generated Node #0,2: 14:[73, 33, 2] Operation: 81-79=2
Exploring Operation: 79-33=46, Resulting Numbers: [73, 81, 46]
Generated Node #0,3: 14:[73, 81, 46] Operation: 79-33=46
Moving to Node #0,2
Current State: 14:[73, 33, 2], Operations: ['81-79=2']
Exploring Operation: 33-2=31, Resulting Numbers: [73, 31]
Generated Node #0,2,0: 14:[73, 31] Operation: 33-2=31
Exploring Operation: 73-33=40, Resulting Numbers: [2, 40]
Generated Node #0,2,1: 14:[2, 40] Operation: 73-33=40
Exploring Operation: 73+2=75, Resulting Numbers: [33, 75]
Generated Node #0,2,2: 14:[33, 75] Operation: 73+2=75
Exploring Operation: 73-2=71, Resulting Numbers: [33, 71]
Generated Node #0,2,3: 14:[33, 71] Operation: 73-2=71
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[2, 40], Operations: ['81-79=2', '73-33=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,14 unequal: No Solution
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,14 unequal: No Solution
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[73, 31], Operations: ['81-79=2', '33-2=31']
Exploring Operation: 73-31=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 73*31=2263, Resulting Numbers: [2263]
2263,14 unequal: No Solution
Exploring Operation: 73+31=104, Resulting Numbers: [104]
104,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[33, 71], Operations: ['81-79=2', '73-2=71']
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,14 unequal: No Solution
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[33, 75], Operations: ['81-79=2', '73+2=75']
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,14 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,14 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: 14:[79, 33, 8], Operations: ['81-73=8']
Exploring Operation: 33-8=25, Resulting Numbers: [79, 25]
Generated Node #0,1,0: 14:[79, 25] Operation: 33-8=25
Exploring Operation: 79-8=71, Resulting Numbers: [33, 71]
Generated Node #0,1,1: 14:[33, 71] Operation: 79-8=71
Exploring Operation: 79-33=46, Resulting Numbers: [8, 46]
Generated Node #0,1,2: 14:[8, 46] Operation: 79-33=46
Exploring Operation: 79+8=87, Resulting Numbers: [33, 87]
Generated Node #0,1,3: 14:[33, 87] Operation: 79+8=87
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[8, 46], Operations: ['81-73=8', '79-33=46']
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,14 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,14 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[79, 25], Operations: ['81-73=8', '33-8=25']
Exploring Operation: 79*25=1975, Resulting Numbers: [1975]
1975,14 unequal: No Solution
Exploring Operation: 79+25=104, Resulting Numbers: [104]
104,14 unequal: No Solution
Exploring Operation: 79-25=54, Resulting Numbers: [54]
54,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[33, 71], Operations: ['81-73=8', '79-8=71']
Exploring Operation: 71-33=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 33*71=2343, Resulting Numbers: [2343]
2343,14 unequal: No Solution
Exploring Operation: 33+71=104, Resulting Numbers: [104]
104,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 14:[33, 87], Operations: ['81-73=8', '79+8=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,14 unequal: No Solution
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,14 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,14 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: 14:[81, 33, 6], Operations: ['79-73=6']
Exploring Operation: 81+6=87, Resulting Numbers: [33, 87]
Generated Node #0,0,0: 14:[33, 87] Operation: 81+6=87
Exploring Operation: 33-6=27, Resulting Numbers: [81, 27]
Generated Node #0,0,1: 14:[81, 27] Operation: 33-6=27
Exploring Operation: 81-6=75, Resulting Numbers: [33, 75]
Generated Node #0,0,2: 14:[33, 75] Operation: 81-6=75
Exploring Operation: 81-33=48, Resulting Numbers: [6, 48]
Generated Node #0,0,3: 14:[6, 48] Operation: 81-33=48
Moving to Node #0,3
Current State: 14:[73, 81, 46], Operations: ['79-33=46']
Exploring Operation: 73+81=154, Resulting Numbers: [46, 154]
Generated Node #0,3,0: 14:[46, 154] Operation: 73+81=154
Exploring Operation: 81-46=35, Resulting Numbers: [73, 35]
Generated Node #0,3,1: 14:[73, 35] Operation: 81-46=35
Exploring Operation: 81-73=8, Resulting Numbers: [46, 8]
Generated Node #0,3,2: 14:[46, 8] Operation: 81-73=8
Exploring Operation: 73-46=27, Resulting Numbers: [81, 27]
Generated Node #0,3,3: 14:[81, 27] Operation: 73-46=27
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 14:[46, 8], Operations: ['79-33=46', '81-73=8']
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,14 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 14:[73, 35], Operations: ['79-33=46', '81-46=35']
Exploring Operation: 73-35=38, Resulting Numbers: [38]
38,14 unequal: No Solution
Exploring Operation: 73+35=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 73*35=2555, Resulting Numbers: [2555]
2555,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[81, 27], Operations: ['79-33=46', '73-46=27']
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,14 unequal: No Solution
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 14:[46, 154], Operations: ['79-33=46', '73+81=154']
Exploring Operation: 154-46=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 46+154=200, Resulting Numbers: [200]
200,14 unequal: No Solution
Exploring Operation: 46*154=7084, Resulting Numbers: [7084]
7084,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,3
Current State: 14:[6, 48], Operations: ['79-73=6', '81-33=48']
Exploring Operation: 6+48=54, Resulting Numbers: [54]
54,14 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 6*48=288, Resulting Numbers: [288]
288,14 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[33, 75], Operations: ['79-73=6', '81-6=75']
Exploring Operation: 33*75=2475, Resulting Numbers: [2475]
2475,14 unequal: No Solution
Exploring Operation: 33+75=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 75-33=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Moving to Node #0,0,1
Current State: 14:[81, 27], Operations: ['79-73=6', '33-6=27']
Exploring Operation: 81+27=108, Resulting Numbers: [108]
108,14 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,14 unequal: No Solution
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,14 unequal: No Solution
Exploring Operation: 81*27=2187, Resulting Numbers: [2187]
2187,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[33, 87], Operations: ['79-73=6', '81+6=87']
Exploring Operation: 33*87=2871, Resulting Numbers: [2871]
2871,14 unequal: No Solution
Exploring Operation: 33+87=120, Resulting Numbers: [120]
120,14 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,14 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
13,
92,
78,
81
] | 81 | [
"92-13=79",
"79-78=1",
"81*1=81"
] | Current State: 81:[13, 92, 78, 81], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [78, 81, 79]
Generated Node #2: [78, 81, 79] from Operation: 92-13=79
Current State: 81:[78, 81, 79], Operations: ['92-13=79']
Exploring Operation: 79-78=1, Resulting Numbers: [81, 1]
Generated Node #3: [81, 1] from Operation: 79-78=1
Current State: 81:[81, 1], Operations: ['92-13=79', '79-78=1']
Exploring Operation: 81*1=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[13, 92, 78, 81], Operations: []
Exploring Operation: 92-13=79, Resulting Numbers: [78, 81, 79]
Generated Node #0,0: 81:[78, 81, 79] Operation: 92-13=79
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[78, 81, 79], Operations: ['92-13=79']
Exploring Operation: 81-78=3, Resulting Numbers: [79, 3]
Generated Node #0,0,0: 81:[79, 3] Operation: 81-78=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[79, 3], Operations: ['92-13=79', '81-78=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
68,
41,
74,
38
] | 63 | [
"68-41=27",
"74-38=36",
"27+36=63"
] | Current State: 63:[68, 41, 74, 38], Operations: []
Exploring Operation: 68-41=27, Resulting Numbers: [74, 38, 27]
Generated Node #2: [74, 38, 27] from Operation: 68-41=27
Current State: 63:[74, 38, 27], Operations: ['68-41=27']
Exploring Operation: 74-38=36, Resulting Numbers: [27, 36]
Generated Node #3: [27, 36] from Operation: 74-38=36
Current State: 63:[27, 36], Operations: ['68-41=27', '74-38=36']
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[68, 41, 74, 38], Operations: []
Exploring Operation: 41+38=79, Resulting Numbers: [68, 74, 79]
Generated Node #0,0: 63:[68, 74, 79] Operation: 41+38=79
Exploring Operation: 41-38=3, Resulting Numbers: [68, 74, 3]
Generated Node #0,1: 63:[68, 74, 3] Operation: 41-38=3
Exploring Operation: 68-41=27, Resulting Numbers: [74, 38, 27]
Generated Node #0,2: 63:[74, 38, 27] Operation: 68-41=27
Exploring Operation: 74-41=33, Resulting Numbers: [68, 38, 33]
Generated Node #0,3: 63:[68, 38, 33] Operation: 74-41=33
Exploring Operation: 74-68=6, Resulting Numbers: [41, 38, 6]
Generated Node #0,4: 63:[41, 38, 6] Operation: 74-68=6
Moving to Node #0,1
Current State: 63:[68, 74, 3], Operations: ['41-38=3']
Exploring Operation: 74-68=6, Resulting Numbers: [3, 6]
Generated Node #0,1,0: 63:[3, 6] Operation: 74-68=6
Exploring Operation: 68-3=65, Resulting Numbers: [74, 65]
Generated Node #0,1,1: 63:[74, 65] Operation: 68-3=65
Exploring Operation: 74-3=71, Resulting Numbers: [68, 71]
Generated Node #0,1,2: 63:[68, 71] Operation: 74-3=71
Exploring Operation: 68+3=71, Resulting Numbers: [74, 71]
Generated Node #0,1,3: 63:[74, 71] Operation: 68+3=71
Exploring Operation: 74+3=77, Resulting Numbers: [68, 77]
Generated Node #0,1,4: 63:[68, 77] Operation: 74+3=77
Moving to Node #0,0
Current State: 63:[68, 74, 79], Operations: ['41+38=79']
Exploring Operation: 79-74=5, Resulting Numbers: [68, 5]
Generated Node #0,0,0: 63:[68, 5] Operation: 79-74=5
Exploring Operation: 68+74=142, Resulting Numbers: [79, 142]
Generated Node #0,0,1: 63:[79, 142] Operation: 68+74=142
Exploring Operation: 68+79=147, Resulting Numbers: [74, 147]
Generated Node #0,0,2: 63:[74, 147] Operation: 68+79=147
Exploring Operation: 74-68=6, Resulting Numbers: [79, 6]
Generated Node #0,0,3: 63:[79, 6] Operation: 74-68=6
Exploring Operation: 79-68=11, Resulting Numbers: [74, 11]
Generated Node #0,0,4: 63:[74, 11] Operation: 79-68=11
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 63:[68, 5], Operations: ['41+38=79', '79-74=5']
Exploring Operation: 68+5=73, Resulting Numbers: [73]
73,63 unequal: No Solution
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[68, 41, 74, 38], Operations: []
Exploring Operation: 41+38=79, Resulting Numbers: [68, 74, 79]
Generated Node #0,0: 63:[68, 74, 79] Operation: 41+38=79
Moving to Node #0,0
Current State: 63:[68, 74, 79], Operations: ['41+38=79']
Exploring Operation: 79-74=5, Resulting Numbers: [68, 5]
Generated Node #0,0,0: 63:[68, 5] Operation: 79-74=5
Moving to Node #0,0,0
Current State: 63:[68, 5], Operations: ['41+38=79', '79-74=5']
Exploring Operation: 68-5=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | mult_heuristic |
[
75,
37,
61,
42
] | 70 | [
"75-61=14",
"42-37=5",
"14*5=70"
] | Current State: 70:[75, 37, 61, 42], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [37, 42, 14]
Generated Node #2: [37, 42, 14] from Operation: 75-61=14
Current State: 70:[37, 42, 14], Operations: ['75-61=14']
Exploring Operation: 42-37=5, Resulting Numbers: [14, 5]
Generated Node #3: [14, 5] from Operation: 42-37=5
Current State: 70:[14, 5], Operations: ['75-61=14', '42-37=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[75, 37, 61, 42], Operations: []
Exploring Operation: 75-42=33, Resulting Numbers: [37, 61, 33]
Generated Node #0,0: 70:[37, 61, 33] Operation: 75-42=33
Exploring Operation: 75-61=14, Resulting Numbers: [37, 42, 14]
Generated Node #0,1: 70:[37, 42, 14] Operation: 75-61=14
Exploring Operation: 61-42=19, Resulting Numbers: [75, 37, 19]
Generated Node #0,2: 70:[75, 37, 19] Operation: 61-42=19
Exploring Operation: 42-37=5, Resulting Numbers: [75, 61, 5]
Generated Node #0,3: 70:[75, 61, 5] Operation: 42-37=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[37, 42, 14], Operations: ['75-61=14']
Exploring Operation: 42/14=3, Resulting Numbers: [37, 3]
Generated Node #0,1,0: 70:[37, 3] Operation: 42/14=3
Exploring Operation: 42-14=28, Resulting Numbers: [37, 28]
Generated Node #0,1,1: 70:[37, 28] Operation: 42-14=28
Exploring Operation: 37+42=79, Resulting Numbers: [14, 79]
Generated Node #0,1,2: 70:[14, 79] Operation: 37+42=79
Exploring Operation: 42-37=5, Resulting Numbers: [14, 5]
Generated Node #0,1,3: 70:[14, 5] Operation: 42-37=5
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 70:[14, 5], Operations: ['75-61=14', '42-37=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,70 unequal: No Solution
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[75, 37, 61, 42], Operations: []
Exploring Operation: 75-61=14, Resulting Numbers: [37, 42, 14]
Generated Node #0,1: 70:[37, 42, 14] Operation: 75-61=14
Moving to Node #0,1
Current State: 70:[37, 42, 14], Operations: ['75-61=14']
Exploring Operation: 42-37=5, Resulting Numbers: [14, 5]
Generated Node #0,1,3: 70:[14, 5] Operation: 42-37=5
Moving to Node #0,1,3
Current State: 70:[14, 5], Operations: ['75-61=14', '42-37=5']
Exploring Operation: 14*5=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
33,
2,
27,
54
] | 15 | [
"33*2=66",
"27+54=81",
"81-66=15"
] | Current State: 15:[33, 2, 27, 54], Operations: []
Exploring Operation: 33*2=66, Resulting Numbers: [27, 54, 66]
Generated Node #2: [27, 54, 66] from Operation: 33*2=66
Current State: 15:[27, 54, 66], Operations: ['33*2=66']
Exploring Operation: 27+54=81, Resulting Numbers: [66, 81]
Generated Node #3: [66, 81] from Operation: 27+54=81
Current State: 15:[66, 81], Operations: ['33*2=66', '27+54=81']
Exploring Operation: 81-66=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[33, 2, 27, 54], Operations: []
Exploring Operation: 54-27=27, Resulting Numbers: [33, 2, 27]
Generated Node #0,0: 15:[33, 2, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [33, 2, 2]
Generated Node #0,1: 15:[33, 2, 2] Operation: 54/27=2
Exploring Operation: 33-27=6, Resulting Numbers: [2, 54, 6]
Generated Node #0,2: 15:[2, 54, 6] Operation: 33-27=6
Exploring Operation: 54-33=21, Resulting Numbers: [2, 27, 21]
Generated Node #0,3: 15:[2, 27, 21] Operation: 54-33=21
Moving to Node #0,3
Current State: 15:[2, 27, 21], Operations: ['54-33=21']
Exploring Operation: 21-2=19, Resulting Numbers: [27, 19]
Generated Node #0,3,0: 15:[27, 19] Operation: 21-2=19
Exploring Operation: 2+27=29, Resulting Numbers: [21, 29]
Generated Node #0,3,1: 15:[21, 29] Operation: 2+27=29
Exploring Operation: 27-2=25, Resulting Numbers: [21, 25]
Generated Node #0,3,2: 15:[21, 25] Operation: 27-2=25
Exploring Operation: 27-21=6, Resulting Numbers: [2, 6]
Generated Node #0,3,3: 15:[2, 6] Operation: 27-21=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 15:[2, 6], Operations: ['54-33=21', '27-21=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[27, 19], Operations: ['54-33=21', '21-2=19']
Exploring Operation: 27*19=513, Resulting Numbers: [513]
513,15 unequal: No Solution
Exploring Operation: 27+19=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 27-19=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 15:[21, 25], Operations: ['54-33=21', '27-2=25']
Exploring Operation: 25-21=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 21*25=525, Resulting Numbers: [525]
525,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 15:[21, 29], Operations: ['54-33=21', '2+27=29']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 21+29=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 21*29=609, Resulting Numbers: [609]
609,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[33, 2, 2], Operations: ['54/27=2']
Exploring Operation: 2*2=4, Resulting Numbers: [33, 4]
Generated Node #0,1,0: 15:[33, 4] Operation: 2*2=4
Exploring Operation: 33-2=31, Resulting Numbers: [2, 31]
Generated Node #0,1,1: 15:[2, 31] Operation: 33-2=31
Exploring Operation: 2+2=4, Resulting Numbers: [33, 4]
Generated Node #0,1,2: 15:[33, 4] Operation: 2+2=4
Exploring Operation: 33-2=31, Resulting Numbers: [2, 31]
Generated Node #0,1,3: 15:[2, 31] Operation: 33-2=31
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[2, 31], Operations: ['54/27=2', '33-2=31']
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[2, 31], Operations: ['54/27=2', '33-2=31']
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[33, 4], Operations: ['54/27=2', '2*2=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[33, 4], Operations: ['54/27=2', '2+2=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,15 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,15 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: 15:[33, 2, 27], Operations: ['54-27=27']
Exploring Operation: 27-2=25, Resulting Numbers: [33, 25]
Generated Node #0,0,0: 15:[33, 25] Operation: 27-2=25
Exploring Operation: 33-2=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 15:[27, 31] Operation: 33-2=31
Exploring Operation: 33-27=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 15:[2, 6] Operation: 33-27=6
Exploring Operation: 33+2=35, Resulting Numbers: [27, 35]
Generated Node #0,0,3: 15:[27, 35] Operation: 33+2=35
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[2, 6], Operations: ['54-27=27', '33-27=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,15 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[33, 25], Operations: ['54-27=27', '27-2=25']
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,15 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[27, 31], Operations: ['54-27=27', '33-2=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,15 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[27, 35], Operations: ['54-27=27', '33+2=35']
Exploring Operation: 27*35=945, Resulting Numbers: [945]
945,15 unequal: No Solution
Exploring Operation: 27+35=62, Resulting Numbers: [62]
62,15 unequal: No Solution
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 15:[2, 54, 6], Operations: ['33-27=6']
Exploring Operation: 54-6=48, Resulting Numbers: [2, 48]
Generated Node #0,2,0: 15:[2, 48] Operation: 54-6=48
Exploring Operation: 54-2=52, Resulting Numbers: [6, 52]
Generated Node #0,2,1: 15:[6, 52] Operation: 54-2=52
Exploring Operation: 54/2=27, Resulting Numbers: [6, 27]
Generated Node #0,2,2: 15:[6, 27] Operation: 54/2=27
Exploring Operation: 54/6=9, Resulting Numbers: [2, 9]
Generated Node #0,2,3: 15:[2, 9] Operation: 54/6=9
Moving to Node #0,2,3
Current State: 15:[2, 9], Operations: ['33-27=6', '54/6=9']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,15 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[6, 27], Operations: ['33-27=6', '54/2=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[2, 48], Operations: ['33-27=6', '54-6=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,15 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 2*48=96, Resulting Numbers: [96]
96,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[6, 52], Operations: ['33-27=6', '54-2=52']
Exploring Operation: 6+52=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 6*52=312, Resulting Numbers: [312]
312,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
16,
36,
40,
59
] | 63 | [
"40-36=4",
"16/4=4",
"59+4=63"
] | Current State: 63:[16, 36, 40, 59], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [16, 59, 4]
Generated Node #2: [16, 59, 4] from Operation: 40-36=4
Current State: 63:[16, 59, 4], Operations: ['40-36=4']
Exploring Operation: 16/4=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 16/4=4
Current State: 63:[59, 4], Operations: ['40-36=4', '16/4=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[16, 36, 40, 59], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [16, 59, 4]
Generated Node #0,0: 63:[16, 59, 4] Operation: 40-36=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[16, 59, 4], Operations: ['40-36=4']
Exploring Operation: 16+4=20, Resulting Numbers: [59, 20]
Generated Node #0,0,0: 63:[59, 20] Operation: 16+4=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[59, 20], Operations: ['40-36=4', '16+4=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,63 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
85,
6,
94,
86
] | 37 | [
"94-86=8",
"6*8=48",
"85-48=37"
] | Current State: 37:[85, 6, 94, 86], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [85, 6, 8]
Generated Node #2: [85, 6, 8] from Operation: 94-86=8
Current State: 37:[85, 6, 8], Operations: ['94-86=8']
Exploring Operation: 6*8=48, Resulting Numbers: [85, 48]
Generated Node #3: [85, 48] from Operation: 6*8=48
Current State: 37:[85, 48], Operations: ['94-86=8', '6*8=48']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[85, 6, 94, 86], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [85, 6, 8]
Generated Node #0,0: 37:[85, 6, 8] Operation: 94-86=8
Exploring Operation: 85-6=79, Resulting Numbers: [94, 86, 79]
Generated Node #0,1: 37:[94, 86, 79] Operation: 85-6=79
Exploring Operation: 94-85=9, Resulting Numbers: [6, 86, 9]
Generated Node #0,2: 37:[6, 86, 9] Operation: 94-85=9
Exploring Operation: 86-85=1, Resulting Numbers: [6, 94, 1]
Generated Node #0,3: 37:[6, 94, 1] Operation: 86-85=1
Moving to Node #0,0
Current State: 37:[85, 6, 8], Operations: ['94-86=8']
Exploring Operation: 85-8=77, Resulting Numbers: [6, 77]
Generated Node #0,0,0: 37:[6, 77] Operation: 85-8=77
Exploring Operation: 6+8=14, Resulting Numbers: [85, 14]
Generated Node #0,0,1: 37:[85, 14] Operation: 6+8=14
Exploring Operation: 85-6=79, Resulting Numbers: [8, 79]
Generated Node #0,0,2: 37:[8, 79] Operation: 85-6=79
Exploring Operation: 6*8=48, Resulting Numbers: [85, 48]
Generated Node #0,0,3: 37:[85, 48] Operation: 6*8=48
Moving to Node #0,2
Current State: 37:[6, 86, 9], Operations: ['94-85=9']
Exploring Operation: 6*9=54, Resulting Numbers: [86, 54]
Generated Node #0,2,0: 37:[86, 54] Operation: 6*9=54
Exploring Operation: 6+9=15, Resulting Numbers: [86, 15]
Generated Node #0,2,1: 37:[86, 15] Operation: 6+9=15
Exploring Operation: 86-6=80, Resulting Numbers: [9, 80]
Generated Node #0,2,2: 37:[9, 80] Operation: 86-6=80
Exploring Operation: 86-9=77, Resulting Numbers: [6, 77]
Generated Node #0,2,3: 37:[6, 77] Operation: 86-9=77
Moving to Node #0,3
Current State: 37:[6, 94, 1], Operations: ['86-85=1']
Exploring Operation: 94-1=93, Resulting Numbers: [6, 93]
Generated Node #0,3,0: 37:[6, 93] Operation: 94-1=93
Exploring Operation: 94-6=88, Resulting Numbers: [1, 88]
Generated Node #0,3,1: 37:[1, 88] Operation: 94-6=88
Exploring Operation: 6+1=7, Resulting Numbers: [94, 7]
Generated Node #0,3,2: 37:[94, 7] Operation: 6+1=7
Exploring Operation: 6*1=6, Resulting Numbers: [94, 6]
Generated Node #0,3,3: 37:[94, 6] Operation: 6*1=6
Moving to Node #0,1
Current State: 37:[94, 86, 79], Operations: ['85-6=79']
Exploring Operation: 94-86=8, Resulting Numbers: [79, 8]
Generated Node #0,1,0: 37:[79, 8] Operation: 94-86=8
Exploring Operation: 94-79=15, Resulting Numbers: [86, 15]
Generated Node #0,1,1: 37:[86, 15] Operation: 94-79=15
Exploring Operation: 86-79=7, Resulting Numbers: [94, 7]
Generated Node #0,1,2: 37:[94, 7] Operation: 86-79=7
Exploring Operation: 94+86=180, Resulting Numbers: [79, 180]
Generated Node #0,1,3: 37:[79, 180] Operation: 94+86=180
Moving to Node #0,0,3
Current State: 37:[85, 48], Operations: ['94-86=8', '6*8=48']
Exploring Operation: 85+48=133, Resulting Numbers: [133]
133,37 unequal: No Solution
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[85, 6, 94, 86], Operations: []
Exploring Operation: 94-86=8, Resulting Numbers: [85, 6, 8]
Generated Node #0,0: 37:[85, 6, 8] Operation: 94-86=8
Moving to Node #0,0
Current State: 37:[85, 6, 8], Operations: ['94-86=8']
Exploring Operation: 6*8=48, Resulting Numbers: [85, 48]
Generated Node #0,0,3: 37:[85, 48] Operation: 6*8=48
Moving to Node #0,0,3
Current State: 37:[85, 48], Operations: ['94-86=8', '6*8=48']
Exploring Operation: 85-48=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.977431 | hs_4 | mult_heuristic |
[
43,
60,
23,
44
] | 83 | [
"44-43=1",
"60+23=83",
"1*83=83"
] | Current State: 83:[43, 60, 23, 44], Operations: []
Exploring Operation: 44-43=1, Resulting Numbers: [60, 23, 1]
Generated Node #2: [60, 23, 1] from Operation: 44-43=1
Current State: 83:[60, 23, 1], Operations: ['44-43=1']
Exploring Operation: 60+23=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 60+23=83
Current State: 83:[1, 83], Operations: ['44-43=1', '60+23=83']
Exploring Operation: 1*83=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[43, 60, 23, 44], Operations: []
Exploring Operation: 43+23=66, Resulting Numbers: [60, 44, 66]
Generated Node #0,0: 83:[60, 44, 66] Operation: 43+23=66
Exploring Operation: 60+23=83, Resulting Numbers: [43, 44, 83]
Generated Node #0,1: 83:[43, 44, 83] Operation: 60+23=83
Exploring Operation: 23+44=67, Resulting Numbers: [43, 60, 67]
Generated Node #0,2: 83:[43, 60, 67] Operation: 23+44=67
Moving to Node #0,0
Current State: 83:[60, 44, 66], Operations: ['43+23=66']
Exploring Operation: 60+44=104, Resulting Numbers: [66, 104]
Generated Node #0,0,0: 83:[66, 104] Operation: 60+44=104
Exploring Operation: 44+66=110, Resulting Numbers: [60, 110]
Generated Node #0,0,1: 83:[60, 110] Operation: 44+66=110
Exploring Operation: 60+66=126, Resulting Numbers: [44, 126]
Generated Node #0,0,2: 83:[44, 126] Operation: 60+66=126
Moving to Node #0,1
Current State: 83:[43, 44, 83], Operations: ['60+23=83']
Exploring Operation: 43+44=87, Resulting Numbers: [83, 87]
Generated Node #0,1,0: 83:[83, 87] Operation: 43+44=87
Exploring Operation: 44-43=1, Resulting Numbers: [83, 1]
Generated Node #0,1,1: 83:[83, 1] Operation: 44-43=1
Exploring Operation: 43+83=126, Resulting Numbers: [44, 126]
Generated Node #0,1,2: 83:[44, 126] Operation: 43+83=126
Moving to Node #0,2
Current State: 83:[43, 60, 67], Operations: ['23+44=67']
Exploring Operation: 60-43=17, Resulting Numbers: [67, 17]
Generated Node #0,2,0: 83:[67, 17] Operation: 60-43=17
Exploring Operation: 43+60=103, Resulting Numbers: [67, 103]
Generated Node #0,2,1: 83:[67, 103] Operation: 43+60=103
Exploring Operation: 43+67=110, Resulting Numbers: [60, 110]
Generated Node #0,2,2: 83:[60, 110] Operation: 43+67=110
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 83:[67, 103], Operations: ['23+44=67', '43+60=103']
Exploring Operation: 67+103=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 103-67=36, Resulting Numbers: [36]
36,83 unequal: No Solution
Exploring Operation: 67*103=6901, Resulting Numbers: [6901]
6901,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[60, 110], Operations: ['23+44=67', '43+67=110']
Exploring Operation: 60*110=6600, Resulting Numbers: [6600]
6600,83 unequal: No Solution
Exploring Operation: 60+110=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 110-60=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[67, 17], Operations: ['23+44=67', '60-43=17']
Exploring Operation: 67+17=84, Resulting Numbers: [84]
84,83 unequal: No Solution
Exploring Operation: 67*17=1139, Resulting Numbers: [1139]
1139,83 unequal: No Solution
Exploring Operation: 67-17=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 83:[83, 87], Operations: ['60+23=83', '43+44=87']
Exploring Operation: 87-83=4, Resulting Numbers: [4]
4,83 unequal: No Solution
Exploring Operation: 83*87=7221, Resulting Numbers: [7221]
7221,83 unequal: No Solution
Exploring Operation: 83+87=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[66, 104], Operations: ['43+23=66', '60+44=104']
Exploring Operation: 66+104=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 104-66=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 66*104=6864, Resulting Numbers: [6864]
6864,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[60, 110], Operations: ['43+23=66', '44+66=110']
Exploring Operation: 60*110=6600, Resulting Numbers: [6600]
6600,83 unequal: No Solution
Exploring Operation: 60+110=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 110-60=50, Resulting Numbers: [50]
50,83 unequal: No Solution
Moving to Node #0,0,2
Current State: 83:[44, 126], Operations: ['43+23=66', '60+66=126']
Exploring Operation: 126-44=82, Resulting Numbers: [82]
82,83 unequal: No Solution
Exploring Operation: 44*126=5544, Resulting Numbers: [5544]
5544,83 unequal: No Solution
Exploring Operation: 44+126=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[44, 126], Operations: ['60+23=83', '43+83=126']
Exploring Operation: 44+126=170, Resulting Numbers: [170]
170,83 unequal: No Solution
Exploring Operation: 44*126=5544, Resulting Numbers: [5544]
5544,83 unequal: No Solution
Exploring Operation: 126-44=82, Resulting Numbers: [82]
82,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[83, 1], Operations: ['60+23=83', '44-43=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[43, 60, 23, 44], Operations: []
Exploring Operation: 60+23=83, Resulting Numbers: [43, 44, 83]
Generated Node #0,1: 83:[43, 44, 83] Operation: 60+23=83
Moving to Node #0,1
Current State: 83:[43, 44, 83], Operations: ['60+23=83']
Exploring Operation: 44-43=1, Resulting Numbers: [83, 1]
Generated Node #0,1,1: 83:[83, 1] Operation: 44-43=1
Moving to Node #0,1,1
Current State: 83:[83, 1], Operations: ['60+23=83', '44-43=1']
Exploring Operation: 83*1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 0.96441 | hs_3 | sum_heuristic |
[
44,
92,
32,
82
] | 86 | [
"44+92=136",
"82-32=50",
"136-50=86"
] | Current State: 86:[44, 92, 32, 82], Operations: []
Exploring Operation: 44+92=136, Resulting Numbers: [32, 82, 136]
Generated Node #2: [32, 82, 136] from Operation: 44+92=136
Current State: 86:[32, 82, 136], Operations: ['44+92=136']
Exploring Operation: 82-32=50, Resulting Numbers: [136, 50]
Generated Node #3: [136, 50] from Operation: 82-32=50
Current State: 86:[136, 50], Operations: ['44+92=136', '82-32=50']
Exploring Operation: 136-50=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[44, 92, 32, 82], Operations: []
Exploring Operation: 44+32=76, Resulting Numbers: [92, 82, 76]
Generated Node #0,0: 86:[92, 82, 76] Operation: 44+32=76
Exploring Operation: 44-32=12, Resulting Numbers: [92, 82, 12]
Generated Node #0,1: 86:[92, 82, 12] Operation: 44-32=12
Exploring Operation: 92-44=48, Resulting Numbers: [32, 82, 48]
Generated Node #0,2: 86:[32, 82, 48] Operation: 92-44=48
Exploring Operation: 82-32=50, Resulting Numbers: [44, 92, 50]
Generated Node #0,3: 86:[44, 92, 50] Operation: 82-32=50
Moving to Node #0,3
Current State: 86:[44, 92, 50], Operations: ['82-32=50']
Exploring Operation: 44+50=94, Resulting Numbers: [92, 94]
Generated Node #0,3,0: 86:[92, 94] Operation: 44+50=94
Exploring Operation: 50-44=6, Resulting Numbers: [92, 6]
Generated Node #0,3,1: 86:[92, 6] Operation: 50-44=6
Exploring Operation: 92-44=48, Resulting Numbers: [50, 48]
Generated Node #0,3,2: 86:[50, 48] Operation: 92-44=48
Exploring Operation: 92-50=42, Resulting Numbers: [44, 42]
Generated Node #0,3,3: 86:[44, 42] Operation: 92-50=42
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 86:[44, 42], Operations: ['82-32=50', '92-50=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[44, 92, 32, 82], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [44, 92, 50]
Generated Node #0,3: 86:[44, 92, 50] Operation: 82-32=50
Moving to Node #0,3
Current State: 86:[44, 92, 50], Operations: ['82-32=50']
Exploring Operation: 92-50=42, Resulting Numbers: [44, 42]
Generated Node #0,3,3: 86:[44, 42] Operation: 92-50=42
Moving to Node #0,3,3
Current State: 86:[44, 42], Operations: ['82-32=50', '92-50=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
79,
2,
41,
43
] | 83 | [
"79+2=81",
"43-41=2",
"81+2=83"
] | Current State: 83:[79, 2, 41, 43], Operations: []
Exploring Operation: 79+2=81, Resulting Numbers: [41, 43, 81]
Generated Node #2: [41, 43, 81] from Operation: 79+2=81
Current State: 83:[41, 43, 81], Operations: ['79+2=81']
Exploring Operation: 43-41=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 43-41=2
Current State: 83:[81, 2], Operations: ['79+2=81', '43-41=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[79, 2, 41, 43], Operations: []
Exploring Operation: 2*41=82, Resulting Numbers: [79, 43, 82]
Generated Node #0,0: 83:[79, 43, 82] Operation: 2*41=82
Exploring Operation: 2*43=86, Resulting Numbers: [79, 41, 86]
Generated Node #0,1: 83:[79, 41, 86] Operation: 2*43=86
Exploring Operation: 2+41=43, Resulting Numbers: [79, 43, 43]
Generated Node #0,2: 83:[79, 43, 43] Operation: 2+41=43
Exploring Operation: 79+2=81, Resulting Numbers: [41, 43, 81]
Generated Node #0,3: 83:[41, 43, 81] Operation: 79+2=81
Exploring Operation: 2+43=45, Resulting Numbers: [79, 41, 45]
Generated Node #0,4: 83:[79, 41, 45] Operation: 2+43=45
Moving to Node #0,0
Current State: 83:[79, 43, 82], Operations: ['2*41=82']
Exploring Operation: 82-43=39, Resulting Numbers: [79, 39]
Generated Node #0,0,0: 83:[79, 39] Operation: 82-43=39
Exploring Operation: 79+82=161, Resulting Numbers: [43, 161]
Generated Node #0,0,1: 83:[43, 161] Operation: 79+82=161
Exploring Operation: 79-43=36, Resulting Numbers: [82, 36]
Generated Node #0,0,2: 83:[82, 36] Operation: 79-43=36
Exploring Operation: 43+82=125, Resulting Numbers: [79, 125]
Generated Node #0,0,3: 83:[79, 125] Operation: 43+82=125
Exploring Operation: 79+43=122, Resulting Numbers: [82, 122]
Generated Node #0,0,4: 83:[82, 122] Operation: 79+43=122
Moving to Node #0,1
Current State: 83:[79, 41, 86], Operations: ['2*43=86']
Exploring Operation: 86-79=7, Resulting Numbers: [41, 7]
Generated Node #0,1,0: 83:[41, 7] Operation: 86-79=7
Exploring Operation: 86-41=45, Resulting Numbers: [79, 45]
Generated Node #0,1,1: 83:[79, 45] Operation: 86-41=45
Exploring Operation: 41+86=127, Resulting Numbers: [79, 127]
Generated Node #0,1,2: 83:[79, 127] Operation: 41+86=127
Exploring Operation: 79-41=38, Resulting Numbers: [86, 38]
Generated Node #0,1,3: 83:[86, 38] Operation: 79-41=38
Exploring Operation: 79+41=120, Resulting Numbers: [86, 120]
Generated Node #0,1,4: 83:[86, 120] Operation: 79+41=120
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 83:[86, 120], Operations: ['2*43=86', '79+41=120']
Exploring Operation: 86*120=10320, Resulting Numbers: [10320]
10320,83 unequal: No Solution
Exploring Operation: 86+120=206, Resulting Numbers: [206]
206,83 unequal: No Solution
Exploring Operation: 120-86=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 83:[79, 45], Operations: ['2*43=86', '86-41=45']
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 79*45=3555, Resulting Numbers: [3555]
3555,83 unequal: No Solution
Exploring Operation: 79+45=124, Resulting Numbers: [124]
124,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 83:[79, 127], Operations: ['2*43=86', '41+86=127']
Exploring Operation: 79+127=206, Resulting Numbers: [206]
206,83 unequal: No Solution
Exploring Operation: 79*127=10033, Resulting Numbers: [10033]
10033,83 unequal: No Solution
Exploring Operation: 127-79=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 83:[86, 38], Operations: ['2*43=86', '79-41=38']
Exploring Operation: 86-38=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 86+38=124, Resulting Numbers: [124]
124,83 unequal: No Solution
Exploring Operation: 86*38=3268, Resulting Numbers: [3268]
3268,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 83:[41, 7], Operations: ['2*43=86', '86-79=7']
Exploring Operation: 41+7=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 41*7=287, Resulting Numbers: [287]
287,83 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,83 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: 83:[79, 43, 43], Operations: ['2+41=43']
Exploring Operation: 43/43=1, Resulting Numbers: [79, 1]
Generated Node #0,2,0: 83:[79, 1] Operation: 43/43=1
Exploring Operation: 79+43=122, Resulting Numbers: [43, 122]
Generated Node #0,2,1: 83:[43, 122] Operation: 79+43=122
Exploring Operation: 79-43=36, Resulting Numbers: [43, 36]
Generated Node #0,2,2: 83:[43, 36] Operation: 79-43=36
Exploring Operation: 43+43=86, Resulting Numbers: [79, 86]
Generated Node #0,2,3: 83:[79, 86] Operation: 43+43=86
Exploring Operation: 79+43=122, Resulting Numbers: [43, 122]
Generated Node #0,2,4: 83:[43, 122] Operation: 79+43=122
Moving to Node #0,3
Current State: 83:[41, 43, 81], Operations: ['79+2=81']
Exploring Operation: 41+43=84, Resulting Numbers: [81, 84]
Generated Node #0,3,0: 83:[81, 84] Operation: 41+43=84
Exploring Operation: 43-41=2, Resulting Numbers: [81, 2]
Generated Node #0,3,1: 83:[81, 2] Operation: 43-41=2
Exploring Operation: 43+81=124, Resulting Numbers: [41, 124]
Generated Node #0,3,2: 83:[41, 124] Operation: 43+81=124
Exploring Operation: 41+81=122, Resulting Numbers: [43, 122]
Generated Node #0,3,3: 83:[43, 122] Operation: 41+81=122
Exploring Operation: 81-41=40, Resulting Numbers: [43, 40]
Generated Node #0,3,4: 83:[43, 40] Operation: 81-41=40
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 83:[81, 84], Operations: ['79+2=81', '41+43=84']
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,83 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,83 unequal: No Solution
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,83 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 #0,3,3
Current State: 83:[43, 122], Operations: ['79+2=81', '41+81=122']
Exploring Operation: 43*122=5246, Resulting Numbers: [5246]
5246,83 unequal: No Solution
Exploring Operation: 43+122=165, Resulting Numbers: [165]
165,83 unequal: No Solution
Exploring Operation: 122-43=79, Resulting Numbers: [79]
79,83 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 #0,3,1
Current State: 83:[81, 2], Operations: ['79+2=81', '43-41=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,83 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[79, 2, 41, 43], Operations: []
Exploring Operation: 79+2=81, Resulting Numbers: [41, 43, 81]
Generated Node #0,3: 83:[41, 43, 81] Operation: 79+2=81
Moving to Node #0,3
Current State: 83:[41, 43, 81], Operations: ['79+2=81']
Exploring Operation: 43-41=2, Resulting Numbers: [81, 2]
Generated Node #0,3,1: 83:[81, 2] Operation: 43-41=2
Moving to Node #0,3,1
Current State: 83:[81, 2], Operations: ['79+2=81', '43-41=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.954861 | hs_5 | mult_heuristic |
[
91,
4,
55,
95
] | 56 | [
"91+4=95",
"95/95=1",
"55+1=56"
] | Current State: 56:[91, 4, 55, 95], Operations: []
Exploring Operation: 91+4=95, Resulting Numbers: [55, 95, 95]
Generated Node #2: [55, 95, 95] from Operation: 91+4=95
Current State: 56:[55, 95, 95], Operations: ['91+4=95']
Exploring Operation: 95/95=1, Resulting Numbers: [55, 1]
Generated Node #3: [55, 1] from Operation: 95/95=1
Current State: 56:[55, 1], Operations: ['91+4=95', '95/95=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[91, 4, 55, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [4, 55, 4]
Generated Node #0,0: 56:[4, 55, 4] Operation: 95-91=4
Exploring Operation: 95-55=40, Resulting Numbers: [91, 4, 40]
Generated Node #0,1: 56:[91, 4, 40] Operation: 95-55=40
Exploring Operation: 91-55=36, Resulting Numbers: [4, 95, 36]
Generated Node #0,2: 56:[4, 95, 36] Operation: 91-55=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[4, 55, 4], Operations: ['95-91=4']
Exploring Operation: 4+4=8, Resulting Numbers: [55, 8]
Generated Node #0,0,0: 56:[55, 8] Operation: 4+4=8
Exploring Operation: 4+55=59, Resulting Numbers: [4, 59]
Generated Node #0,0,1: 56:[4, 59] Operation: 4+55=59
Exploring Operation: 4/4=1, Resulting Numbers: [55, 1]
Generated Node #0,0,2: 56:[55, 1] Operation: 4/4=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[55, 8], Operations: ['95-91=4', '4+4=8']
Exploring Operation: 55+8=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 55-8=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 55*8=440, Resulting Numbers: [440]
440,56 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:[55, 1], Operations: ['95-91=4', '4/4=1']
Exploring Operation: 55/1=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[91, 4, 55, 95], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [4, 55, 4]
Generated Node #0,0: 56:[4, 55, 4] Operation: 95-91=4
Moving to Node #0,0
Current State: 56:[4, 55, 4], Operations: ['95-91=4']
Exploring Operation: 4/4=1, Resulting Numbers: [55, 1]
Generated Node #0,0,2: 56:[55, 1] Operation: 4/4=1
Moving to Node #0,0,2
Current State: 56:[55, 1], Operations: ['95-91=4', '4/4=1']
Exploring Operation: 55+1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_3 | sum_heuristic |
[
85,
42,
5,
72
] | 60 | [
"85+42=127",
"72-5=67",
"127-67=60"
] | Current State: 60:[85, 42, 5, 72], Operations: []
Exploring Operation: 85+42=127, Resulting Numbers: [5, 72, 127]
Generated Node #2: [5, 72, 127] from Operation: 85+42=127
Current State: 60:[5, 72, 127], Operations: ['85+42=127']
Exploring Operation: 72-5=67, Resulting Numbers: [127, 67]
Generated Node #3: [127, 67] from Operation: 72-5=67
Current State: 60:[127, 67], Operations: ['85+42=127', '72-5=67']
Exploring Operation: 127-67=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[85, 42, 5, 72], Operations: []
Exploring Operation: 85-42=43, Resulting Numbers: [5, 72, 43]
Generated Node #0,0: 60:[5, 72, 43] Operation: 85-42=43
Exploring Operation: 85-72=13, Resulting Numbers: [42, 5, 13]
Generated Node #0,1: 60:[42, 5, 13] Operation: 85-72=13
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[42, 5, 13], Operations: ['85-72=13']
Exploring Operation: 42-13=29, Resulting Numbers: [5, 29]
Generated Node #0,1,0: 60:[5, 29] Operation: 42-13=29
Exploring Operation: 42+13=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 60:[5, 55] Operation: 42+13=55
Moving to Node #0,1,0
Current State: 60:[5, 29], Operations: ['85-72=13', '42-13=29']
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,60 unequal: No Solution
Exploring Operation: 5+29=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[5, 55], Operations: ['85-72=13', '42+13=55']
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[85, 42, 5, 72], Operations: []
Exploring Operation: 85-72=13, Resulting Numbers: [42, 5, 13]
Generated Node #0,1: 60:[42, 5, 13] Operation: 85-72=13
Moving to Node #0,1
Current State: 60:[42, 5, 13], Operations: ['85-72=13']
Exploring Operation: 42+13=55, Resulting Numbers: [5, 55]
Generated Node #0,1,1: 60:[5, 55] Operation: 42+13=55
Moving to Node #0,1,1
Current State: 60:[5, 55], Operations: ['85-72=13', '42+13=55']
Exploring Operation: 5+55=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
35,
29,
62,
45
] | 81 | [
"35+29=64",
"62-45=17",
"64+17=81"
] | Current State: 81:[35, 29, 62, 45], Operations: []
Exploring Operation: 35+29=64, Resulting Numbers: [62, 45, 64]
Generated Node #2: [62, 45, 64] from Operation: 35+29=64
Current State: 81:[62, 45, 64], Operations: ['35+29=64']
Exploring Operation: 62-45=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 62-45=17
Current State: 81:[64, 17], Operations: ['35+29=64', '62-45=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[35, 29, 62, 45], Operations: []
Exploring Operation: 62-45=17, Resulting Numbers: [35, 29, 17]
Generated Node #0,0: 81:[35, 29, 17] Operation: 62-45=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[35, 29, 17], Operations: ['62-45=17']
Exploring Operation: 35-29=6, Resulting Numbers: [17, 6]
Generated Node #0,0,0: 81:[17, 6] Operation: 35-29=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[17, 6], Operations: ['62-45=17', '35-29=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
23,
5,
27,
69
] | 14 | [
"23+5=28",
"69-27=42",
"42-28=14"
] | Current State: 14:[23, 5, 27, 69], Operations: []
Exploring Operation: 23+5=28, Resulting Numbers: [27, 69, 28]
Generated Node #2: [27, 69, 28] from Operation: 23+5=28
Current State: 14:[27, 69, 28], Operations: ['23+5=28']
Exploring Operation: 69-27=42, Resulting Numbers: [28, 42]
Generated Node #3: [28, 42] from Operation: 69-27=42
Current State: 14:[28, 42], Operations: ['23+5=28', '69-27=42']
Exploring Operation: 42-28=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[23, 5, 27, 69], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [5, 27, 3]
Generated Node #0,0: 14:[5, 27, 3] Operation: 69/23=3
Moving to Node #0,0
Current State: 14:[5, 27, 3], Operations: ['69/23=3']
Exploring Operation: 27/3=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 14:[5, 9] Operation: 27/3=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[5, 9], Operations: ['69/23=3', '27/3=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[23, 5, 27, 69], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [5, 27, 3]
Generated Node #0,0: 14:[5, 27, 3] Operation: 69/23=3
Moving to Node #0,0
Current State: 14:[5, 27, 3], Operations: ['69/23=3']
Exploring Operation: 27/3=9, Resulting Numbers: [5, 9]
Generated Node #0,0,0: 14:[5, 9] Operation: 27/3=9
Moving to Node #0,0,0
Current State: 14:[5, 9], Operations: ['69/23=3', '27/3=9']
Exploring Operation: 5+9=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
24,
74,
71,
91
] | 78 | [
"24+74=98",
"91-71=20",
"98-20=78"
] | Current State: 78:[24, 74, 71, 91], Operations: []
Exploring Operation: 24+74=98, Resulting Numbers: [71, 91, 98]
Generated Node #2: [71, 91, 98] from Operation: 24+74=98
Current State: 78:[71, 91, 98], Operations: ['24+74=98']
Exploring Operation: 91-71=20, Resulting Numbers: [98, 20]
Generated Node #3: [98, 20] from Operation: 91-71=20
Current State: 78:[98, 20], Operations: ['24+74=98', '91-71=20']
Exploring Operation: 98-20=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[24, 74, 71, 91], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [24, 74, 20]
Generated Node #0,0: 78:[24, 74, 20] Operation: 91-71=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[24, 74, 20], Operations: ['91-71=20']
Exploring Operation: 24-20=4, Resulting Numbers: [74, 4]
Generated Node #0,0,0: 78:[74, 4] Operation: 24-20=4
Moving to Node #0,0,0
Current State: 78:[74, 4], Operations: ['91-71=20', '24-20=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[24, 74, 71, 91], Operations: []
Exploring Operation: 91-71=20, Resulting Numbers: [24, 74, 20]
Generated Node #0,0: 78:[24, 74, 20] Operation: 91-71=20
Moving to Node #0,0
Current State: 78:[24, 74, 20], Operations: ['91-71=20']
Exploring Operation: 24-20=4, Resulting Numbers: [74, 4]
Generated Node #0,0,0: 78:[74, 4] Operation: 24-20=4
Moving to Node #0,0,0
Current State: 78:[74, 4], Operations: ['91-71=20', '24-20=4']
Exploring Operation: 74+4=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
73,
17,
68,
85
] | 16 | [
"85-73=12",
"68/17=4",
"12+4=16"
] | Current State: 16:[73, 17, 68, 85], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [17, 68, 12]
Generated Node #2: [17, 68, 12] from Operation: 85-73=12
Current State: 16:[17, 68, 12], Operations: ['85-73=12']
Exploring Operation: 68/17=4, Resulting Numbers: [12, 4]
Generated Node #3: [12, 4] from Operation: 68/17=4
Current State: 16:[12, 4], Operations: ['85-73=12', '68/17=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[73, 17, 68, 85], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [17, 68, 12]
Generated Node #0,0: 16:[17, 68, 12] Operation: 85-73=12
Exploring Operation: 85-68=17, Resulting Numbers: [73, 17, 17]
Generated Node #0,1: 16:[73, 17, 17] Operation: 85-68=17
Moving to Node #0,0
Current State: 16:[17, 68, 12], Operations: ['85-73=12']
Exploring Operation: 68/17=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 16:[12, 4] Operation: 68/17=4
Exploring Operation: 68-17=51, Resulting Numbers: [12, 51]
Generated Node #0,0,1: 16:[12, 51] Operation: 68-17=51
Moving to Node #0,1
Current State: 16:[73, 17, 17], Operations: ['85-68=17']
Exploring Operation: 73-17=56, Resulting Numbers: [17, 56]
Generated Node #0,1,0: 16:[17, 56] Operation: 73-17=56
Exploring Operation: 73-17=56, Resulting Numbers: [17, 56]
Generated Node #0,1,1: 16:[17, 56] Operation: 73-17=56
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[17, 56], Operations: ['85-68=17', '73-17=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[17, 56], Operations: ['85-68=17', '73-17=56']
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,16 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 16:[12, 4], Operations: ['85-73=12', '68/17=4']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,16 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[73, 17, 68, 85], Operations: []
Exploring Operation: 85-73=12, Resulting Numbers: [17, 68, 12]
Generated Node #0,0: 16:[17, 68, 12] Operation: 85-73=12
Moving to Node #0,0
Current State: 16:[17, 68, 12], Operations: ['85-73=12']
Exploring Operation: 68/17=4, Resulting Numbers: [12, 4]
Generated Node #0,0,0: 16:[12, 4] Operation: 68/17=4
Moving to Node #0,0,0
Current State: 16:[12, 4], Operations: ['85-73=12', '68/17=4']
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
81,
41,
3,
99
] | 69 | [
"81+41=122",
"122-99=23",
"3*23=69"
] | Current State: 69:[81, 41, 3, 99], Operations: []
Exploring Operation: 81+41=122, Resulting Numbers: [3, 99, 122]
Generated Node #2: [3, 99, 122] from Operation: 81+41=122
Current State: 69:[3, 99, 122], Operations: ['81+41=122']
Exploring Operation: 122-99=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 122-99=23
Current State: 69:[3, 23], Operations: ['81+41=122', '122-99=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[81, 41, 3, 99], Operations: []
Exploring Operation: 99-41=58, Resulting Numbers: [81, 3, 58]
Generated Node #0,0: 69:[81, 3, 58] Operation: 99-41=58
Exploring Operation: 81/3=27, Resulting Numbers: [41, 99, 27]
Generated Node #0,1: 69:[41, 99, 27] Operation: 81/3=27
Exploring Operation: 81-41=40, Resulting Numbers: [3, 99, 40]
Generated Node #0,2: 69:[3, 99, 40] Operation: 81-41=40
Exploring Operation: 99/3=33, Resulting Numbers: [81, 41, 33]
Generated Node #0,3: 69:[81, 41, 33] Operation: 99/3=33
Exploring Operation: 99-81=18, Resulting Numbers: [41, 3, 18]
Generated Node #0,4: 69:[41, 3, 18] Operation: 99-81=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[81, 3, 58], Operations: ['99-41=58']
Exploring Operation: 81/3=27, Resulting Numbers: [58, 27]
Generated Node #0,0,0: 69:[58, 27] Operation: 81/3=27
Exploring Operation: 81-58=23, Resulting Numbers: [3, 23]
Generated Node #0,0,1: 69:[3, 23] Operation: 81-58=23
Exploring Operation: 81-3=78, Resulting Numbers: [58, 78]
Generated Node #0,0,2: 69:[58, 78] Operation: 81-3=78
Exploring Operation: 3+58=61, Resulting Numbers: [81, 61]
Generated Node #0,0,3: 69:[81, 61] Operation: 3+58=61
Exploring Operation: 81+3=84, Resulting Numbers: [58, 84]
Generated Node #0,0,4: 69:[58, 84] Operation: 81+3=84
Moving to Node #0,0,1
Current State: 69:[3, 23], Operations: ['99-41=58', '81-58=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,69 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[81, 41, 3, 99], Operations: []
Exploring Operation: 99-41=58, Resulting Numbers: [81, 3, 58]
Generated Node #0,0: 69:[81, 3, 58] Operation: 99-41=58
Moving to Node #0,0
Current State: 69:[81, 3, 58], Operations: ['99-41=58']
Exploring Operation: 81-58=23, Resulting Numbers: [3, 23]
Generated Node #0,0,1: 69:[3, 23] Operation: 81-58=23
Moving to Node #0,0,1
Current State: 69:[3, 23], Operations: ['99-41=58', '81-58=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
52,
4,
11,
61
] | 35 | [
"61-52=9",
"4*11=44",
"44-9=35"
] | Current State: 35:[52, 4, 11, 61], Operations: []
Exploring Operation: 61-52=9, Resulting Numbers: [4, 11, 9]
Generated Node #2: [4, 11, 9] from Operation: 61-52=9
Current State: 35:[4, 11, 9], Operations: ['61-52=9']
Exploring Operation: 4*11=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 4*11=44
Current State: 35:[9, 44], Operations: ['61-52=9', '4*11=44']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[52, 4, 11, 61], Operations: []
Exploring Operation: 61-11=50, Resulting Numbers: [52, 4, 50]
Generated Node #0,0: 35:[52, 4, 50] Operation: 61-11=50
Exploring Operation: 61-52=9, Resulting Numbers: [4, 11, 9]
Generated Node #0,1: 35:[4, 11, 9] Operation: 61-52=9
Exploring Operation: 52/4=13, Resulting Numbers: [11, 61, 13]
Generated Node #0,2: 35:[11, 61, 13] Operation: 52/4=13
Exploring Operation: 52-11=41, Resulting Numbers: [4, 61, 41]
Generated Node #0,3: 35:[4, 61, 41] Operation: 52-11=41
Moving to Node #0,1
Current State: 35:[4, 11, 9], Operations: ['61-52=9']
Exploring Operation: 11-4=7, Resulting Numbers: [9, 7]
Generated Node #0,1,0: 35:[9, 7] Operation: 11-4=7
Exploring Operation: 4*9=36, Resulting Numbers: [11, 36]
Generated Node #0,1,1: 35:[11, 36] Operation: 4*9=36
Exploring Operation: 11-9=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 35:[4, 2] Operation: 11-9=2
Exploring Operation: 9-4=5, Resulting Numbers: [11, 5]
Generated Node #0,1,3: 35:[11, 5] Operation: 9-4=5
Moving to Node #0,3
Current State: 35:[4, 61, 41], Operations: ['52-11=41']
Exploring Operation: 41-4=37, Resulting Numbers: [61, 37]
Generated Node #0,3,0: 35:[61, 37] Operation: 41-4=37
Exploring Operation: 61-41=20, Resulting Numbers: [4, 20]
Generated Node #0,3,1: 35:[4, 20] Operation: 61-41=20
Exploring Operation: 4+61=65, Resulting Numbers: [41, 65]
Generated Node #0,3,2: 35:[41, 65] Operation: 4+61=65
Exploring Operation: 61-4=57, Resulting Numbers: [41, 57]
Generated Node #0,3,3: 35:[41, 57] Operation: 61-4=57
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[4, 20], Operations: ['52-11=41', '61-41=20']
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,35 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,35 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 #0,3,0
Current State: 35:[61, 37], Operations: ['52-11=41', '41-4=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 61*37=2257, Resulting Numbers: [2257]
2257,35 unequal: No Solution
Exploring Operation: 61-37=24, Resulting Numbers: [24]
24,35 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 #0,3,3
Current State: 35:[41, 57], Operations: ['52-11=41', '61-4=57']
Exploring Operation: 41*57=2337, Resulting Numbers: [2337]
2337,35 unequal: No Solution
Exploring Operation: 41+57=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 57-41=16, Resulting Numbers: [16]
16,35 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 #0,3,2
Current State: 35:[41, 65], Operations: ['52-11=41', '4+61=65']
Exploring Operation: 65-41=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 41*65=2665, Resulting Numbers: [2665]
2665,35 unequal: No Solution
Exploring Operation: 41+65=106, Resulting Numbers: [106]
106,35 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: 35:[52, 4, 50], Operations: ['61-11=50']
Exploring Operation: 52/4=13, Resulting Numbers: [50, 13]
Generated Node #0,0,0: 35:[50, 13] Operation: 52/4=13
Exploring Operation: 52-4=48, Resulting Numbers: [50, 48]
Generated Node #0,0,1: 35:[50, 48] Operation: 52-4=48
Exploring Operation: 50-4=46, Resulting Numbers: [52, 46]
Generated Node #0,0,2: 35:[52, 46] Operation: 50-4=46
Exploring Operation: 52-50=2, Resulting Numbers: [4, 2]
Generated Node #0,0,3: 35:[4, 2] Operation: 52-50=2
Moving to Node #0,2
Current State: 35:[11, 61, 13], Operations: ['52/4=13']
Exploring Operation: 11+13=24, Resulting Numbers: [61, 24]
Generated Node #0,2,0: 35:[61, 24] Operation: 11+13=24
Exploring Operation: 13-11=2, Resulting Numbers: [61, 2]
Generated Node #0,2,1: 35:[61, 2] Operation: 13-11=2
Exploring Operation: 61-11=50, Resulting Numbers: [13, 50]
Generated Node #0,2,2: 35:[13, 50] Operation: 61-11=50
Exploring Operation: 61-13=48, Resulting Numbers: [11, 48]
Generated Node #0,2,3: 35:[11, 48] Operation: 61-13=48
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 35:[11, 48], Operations: ['52/4=13', '61-13=48']
Exploring Operation: 11+48=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 11*48=528, Resulting Numbers: [528]
528,35 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 #0,2,2
Current State: 35:[13, 50], Operations: ['52/4=13', '61-11=50']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 13+50=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 13*50=650, Resulting Numbers: [650]
650,35 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 #0,2,1
Current State: 35:[61, 2], Operations: ['52/4=13', '13-11=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,35 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,35 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 #0,2,0
Current State: 35:[61, 24], Operations: ['52/4=13', '11+13=24']
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 61*24=1464, Resulting Numbers: [1464]
1464,35 unequal: No Solution
Exploring Operation: 61+24=85, Resulting Numbers: [85]
85,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 35:[9, 7], Operations: ['61-52=9', '11-4=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[11, 5], Operations: ['61-52=9', '9-4=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,35 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 11+5=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[4, 2], Operations: ['61-52=9', '11-9=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[4, 2], Operations: ['61-11=50', '52-50=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,35 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[11, 36], Operations: ['61-52=9', '4*9=36']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,35 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[50, 13], Operations: ['61-11=50', '52/4=13']
Exploring Operation: 50-13=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 50+13=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Exploring Operation: 50*13=650, Resulting Numbers: [650]
650,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[52, 46], Operations: ['61-11=50', '50-4=46']
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,35 unequal: No Solution
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[50, 48], Operations: ['61-11=50', '52-4=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,35 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,35 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,35 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
7,
76,
97,
11
] | 70 | [
"97-76=21",
"21-11=10",
"7*10=70"
] | Current State: 70:[7, 76, 97, 11], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [7, 11, 21]
Generated Node #2: [7, 11, 21] from Operation: 97-76=21
Current State: 70:[7, 11, 21], Operations: ['97-76=21']
Exploring Operation: 21-11=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 21-11=10
Current State: 70:[7, 10], Operations: ['97-76=21', '21-11=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[7, 76, 97, 11], Operations: []
Exploring Operation: 76-7=69, Resulting Numbers: [97, 11, 69]
Generated Node #0,0: 70:[97, 11, 69] Operation: 76-7=69
Exploring Operation: 97-76=21, Resulting Numbers: [7, 11, 21]
Generated Node #0,1: 70:[7, 11, 21] Operation: 97-76=21
Exploring Operation: 97-7=90, Resulting Numbers: [76, 11, 90]
Generated Node #0,2: 70:[76, 11, 90] Operation: 97-7=90
Exploring Operation: 97-11=86, Resulting Numbers: [7, 76, 86]
Generated Node #0,3: 70:[7, 76, 86] Operation: 97-11=86
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[7, 11, 21], Operations: ['97-76=21']
Exploring Operation: 11+21=32, Resulting Numbers: [7, 32]
Generated Node #0,1,0: 70:[7, 32] Operation: 11+21=32
Exploring Operation: 21/7=3, Resulting Numbers: [11, 3]
Generated Node #0,1,1: 70:[11, 3] Operation: 21/7=3
Exploring Operation: 21-11=10, Resulting Numbers: [7, 10]
Generated Node #0,1,2: 70:[7, 10] Operation: 21-11=10
Exploring Operation: 21-7=14, Resulting Numbers: [11, 14]
Generated Node #0,1,3: 70:[11, 14] Operation: 21-7=14
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[7, 10], Operations: ['97-76=21', '21-11=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,70 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[7, 76, 97, 11], Operations: []
Exploring Operation: 97-76=21, Resulting Numbers: [7, 11, 21]
Generated Node #0,1: 70:[7, 11, 21] Operation: 97-76=21
Moving to Node #0,1
Current State: 70:[7, 11, 21], Operations: ['97-76=21']
Exploring Operation: 21-11=10, Resulting Numbers: [7, 10]
Generated Node #0,1,2: 70:[7, 10] Operation: 21-11=10
Moving to Node #0,1,2
Current State: 70:[7, 10], Operations: ['97-76=21', '21-11=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
65,
55,
9,
45
] | 65 | [
"55-9=46",
"46-45=1",
"65*1=65"
] | Current State: 65:[65, 55, 9, 45], Operations: []
Exploring Operation: 55-9=46, Resulting Numbers: [65, 45, 46]
Generated Node #2: [65, 45, 46] from Operation: 55-9=46
Current State: 65:[65, 45, 46], Operations: ['55-9=46']
Exploring Operation: 46-45=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 46-45=1
Current State: 65:[65, 1], Operations: ['55-9=46', '46-45=1']
Exploring Operation: 65*1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[65, 55, 9, 45], Operations: []
Exploring Operation: 65-45=20, Resulting Numbers: [55, 9, 20]
Generated Node #0,0: 65:[55, 9, 20] Operation: 65-45=20
Exploring Operation: 55-45=10, Resulting Numbers: [65, 9, 10]
Generated Node #0,1: 65:[65, 9, 10] Operation: 55-45=10
Exploring Operation: 45/9=5, Resulting Numbers: [65, 55, 5]
Generated Node #0,2: 65:[65, 55, 5] Operation: 45/9=5
Moving to Node #0,1
Current State: 65:[65, 9, 10], Operations: ['55-45=10']
Exploring Operation: 9+10=19, Resulting Numbers: [65, 19]
Generated Node #0,1,0: 65:[65, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [65, 1]
Generated Node #0,1,1: 65:[65, 1] Operation: 10-9=1
Exploring Operation: 65+9=74, Resulting Numbers: [10, 74]
Generated Node #0,1,2: 65:[10, 74] Operation: 65+9=74
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[65, 1], Operations: ['55-45=10', '10-9=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[65, 55, 9, 45], Operations: []
Exploring Operation: 55-45=10, Resulting Numbers: [65, 9, 10]
Generated Node #0,1: 65:[65, 9, 10] Operation: 55-45=10
Moving to Node #0,1
Current State: 65:[65, 9, 10], Operations: ['55-45=10']
Exploring Operation: 10-9=1, Resulting Numbers: [65, 1]
Generated Node #0,1,1: 65:[65, 1] Operation: 10-9=1
Moving to Node #0,1,1
Current State: 65:[65, 1], Operations: ['55-45=10', '10-9=1']
Exploring Operation: 65/1=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
3,
24,
94,
99
] | 12 | [
"3+94=97",
"99-97=2",
"24/2=12"
] | Current State: 12:[3, 24, 94, 99], Operations: []
Exploring Operation: 3+94=97, Resulting Numbers: [24, 99, 97]
Generated Node #2: [24, 99, 97] from Operation: 3+94=97
Current State: 12:[24, 99, 97], Operations: ['3+94=97']
Exploring Operation: 99-97=2, Resulting Numbers: [24, 2]
Generated Node #3: [24, 2] from Operation: 99-97=2
Current State: 12:[24, 2], Operations: ['3+94=97', '99-97=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[3, 24, 94, 99], Operations: []
Exploring Operation: 94-24=70, Resulting Numbers: [3, 99, 70]
Generated Node #0,0: 12:[3, 99, 70] Operation: 94-24=70
Exploring Operation: 99-24=75, Resulting Numbers: [3, 94, 75]
Generated Node #0,1: 12:[3, 94, 75] Operation: 99-24=75
Exploring Operation: 99-94=5, Resulting Numbers: [3, 24, 5]
Generated Node #0,2: 12:[3, 24, 5] Operation: 99-94=5
Exploring Operation: 99/3=33, Resulting Numbers: [24, 94, 33]
Generated Node #0,3: 12:[24, 94, 33] Operation: 99/3=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[3, 24, 5], Operations: ['99-94=5']
Exploring Operation: 24/3=8, Resulting Numbers: [5, 8]
Generated Node #0,2,0: 12:[5, 8] Operation: 24/3=8
Exploring Operation: 24-5=19, Resulting Numbers: [3, 19]
Generated Node #0,2,1: 12:[3, 19] Operation: 24-5=19
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #0,2,2: 12:[24, 2] Operation: 5-3=2
Exploring Operation: 24-3=21, Resulting Numbers: [5, 21]
Generated Node #0,2,3: 12:[5, 21] Operation: 24-3=21
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 12:[5, 8], Operations: ['99-94=5', '24/3=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,12 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 #0,2,1
Current State: 12:[3, 19], Operations: ['99-94=5', '24-5=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,12 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 #0,2,3
Current State: 12:[5, 21], Operations: ['99-94=5', '24-3=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,12 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,12 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 #0,2,2
Current State: 12:[24, 2], Operations: ['99-94=5', '5-3=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[3, 24, 94, 99], Operations: []
Exploring Operation: 99-94=5, Resulting Numbers: [3, 24, 5]
Generated Node #0,2: 12:[3, 24, 5] Operation: 99-94=5
Moving to Node #0,2
Current State: 12:[3, 24, 5], Operations: ['99-94=5']
Exploring Operation: 5-3=2, Resulting Numbers: [24, 2]
Generated Node #0,2,2: 12:[24, 2] Operation: 5-3=2
Moving to Node #0,2,2
Current State: 12:[24, 2], Operations: ['99-94=5', '5-3=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
18,
9,
99,
29
] | 68 | [
"18/9=2",
"99-29=70",
"70-2=68"
] | Current State: 68:[18, 9, 99, 29], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [99, 29, 2]
Generated Node #2: [99, 29, 2] from Operation: 18/9=2
Current State: 68:[99, 29, 2], Operations: ['18/9=2']
Exploring Operation: 99-29=70, Resulting Numbers: [2, 70]
Generated Node #3: [2, 70] from Operation: 99-29=70
Current State: 68:[2, 70], Operations: ['18/9=2', '99-29=70']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[18, 9, 99, 29], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [18, 29, 11]
Generated Node #0,0: 68:[18, 29, 11] Operation: 99/9=11
Exploring Operation: 99-29=70, Resulting Numbers: [18, 9, 70]
Generated Node #0,1: 68:[18, 9, 70] Operation: 99-29=70
Moving to Node #0,1
Current State: 68:[18, 9, 70], Operations: ['99-29=70']
Exploring Operation: 18-9=9, Resulting Numbers: [70, 9]
Generated Node #0,1,0: 68:[70, 9] Operation: 18-9=9
Exploring Operation: 18/9=2, Resulting Numbers: [70, 2]
Generated Node #0,1,1: 68:[70, 2] Operation: 18/9=2
Moving to Node #0,0
Current State: 68:[18, 29, 11], Operations: ['99/9=11']
Exploring Operation: 29-11=18, Resulting Numbers: [18, 18]
Generated Node #0,0,0: 68:[18, 18] Operation: 29-11=18
Exploring Operation: 29+11=40, Resulting Numbers: [18, 40]
Generated Node #0,0,1: 68:[18, 40] Operation: 29+11=40
Moving to Node #0,1,1
Current State: 68:[70, 2], Operations: ['99-29=70', '18/9=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[18, 9, 99, 29], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [18, 9, 70]
Generated Node #0,1: 68:[18, 9, 70] Operation: 99-29=70
Moving to Node #0,1
Current State: 68:[18, 9, 70], Operations: ['99-29=70']
Exploring Operation: 18/9=2, Resulting Numbers: [70, 2]
Generated Node #0,1,1: 68:[70, 2] Operation: 18/9=2
Moving to Node #0,1,1
Current State: 68:[70, 2], Operations: ['99-29=70', '18/9=2']
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
37,
20,
49,
87
] | 95 | [
"37+20=57",
"87-49=38",
"57+38=95"
] | Current State: 95:[37, 20, 49, 87], Operations: []
Exploring Operation: 37+20=57, Resulting Numbers: [49, 87, 57]
Generated Node #2: [49, 87, 57] from Operation: 37+20=57
Current State: 95:[49, 87, 57], Operations: ['37+20=57']
Exploring Operation: 87-49=38, Resulting Numbers: [57, 38]
Generated Node #3: [57, 38] from Operation: 87-49=38
Current State: 95:[57, 38], Operations: ['37+20=57', '87-49=38']
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[37, 20, 49, 87], Operations: []
Exploring Operation: 37+49=86, Resulting Numbers: [20, 87, 86]
Generated Node #0,0: 95:[20, 87, 86] Operation: 37+49=86
Exploring Operation: 49-37=12, Resulting Numbers: [20, 87, 12]
Generated Node #0,1: 95:[20, 87, 12] Operation: 49-37=12
Moving to Node #0,1
Current State: 95:[20, 87, 12], Operations: ['49-37=12']
Exploring Operation: 20-12=8, Resulting Numbers: [87, 8]
Generated Node #0,1,0: 95:[87, 8] Operation: 20-12=8
Exploring Operation: 87+12=99, Resulting Numbers: [20, 99]
Generated Node #0,1,1: 95:[20, 99] Operation: 87+12=99
Moving to Node #0,0
Current State: 95:[20, 87, 86], Operations: ['37+49=86']
Exploring Operation: 87-86=1, Resulting Numbers: [20, 1]
Generated Node #0,0,0: 95:[20, 1] Operation: 87-86=1
Exploring Operation: 20+86=106, Resulting Numbers: [87, 106]
Generated Node #0,0,1: 95:[87, 106] Operation: 20+86=106
Moving to Node #0,1,1
Current State: 95:[20, 99], Operations: ['49-37=12', '87+12=99']
Exploring Operation: 99-20=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 20+99=119, Resulting Numbers: [119]
119,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[20, 1], Operations: ['37+49=86', '87-86=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,95 unequal: No Solution
Moving to Node #0,1,0
Current State: 95:[87, 8], Operations: ['49-37=12', '20-12=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[37, 20, 49, 87], Operations: []
Exploring Operation: 49-37=12, Resulting Numbers: [20, 87, 12]
Generated Node #0,1: 95:[20, 87, 12] Operation: 49-37=12
Moving to Node #0,1
Current State: 95:[20, 87, 12], Operations: ['49-37=12']
Exploring Operation: 20-12=8, Resulting Numbers: [87, 8]
Generated Node #0,1,0: 95:[87, 8] Operation: 20-12=8
Moving to Node #0,1,0
Current State: 95:[87, 8], Operations: ['49-37=12', '20-12=8']
Exploring Operation: 87+8=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.986111 | hs_2 | mult_heuristic |
[
39,
45,
14,
33
] | 13 | [
"45-39=6",
"33-14=19",
"19-6=13"
] | Current State: 13:[39, 45, 14, 33], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [14, 33, 6]
Generated Node #2: [14, 33, 6] from Operation: 45-39=6
Current State: 13:[14, 33, 6], Operations: ['45-39=6']
Exploring Operation: 33-14=19, Resulting Numbers: [6, 19]
Generated Node #3: [6, 19] from Operation: 33-14=19
Current State: 13:[6, 19], Operations: ['45-39=6', '33-14=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[39, 45, 14, 33], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [14, 33, 6]
Generated Node #0,0: 13:[14, 33, 6] Operation: 45-39=6
Exploring Operation: 39-33=6, Resulting Numbers: [45, 14, 6]
Generated Node #0,1: 13:[45, 14, 6] Operation: 39-33=6
Exploring Operation: 45-33=12, Resulting Numbers: [39, 14, 12]
Generated Node #0,2: 13:[39, 14, 12] Operation: 45-33=12
Exploring Operation: 39-14=25, Resulting Numbers: [45, 33, 25]
Generated Node #0,3: 13:[45, 33, 25] Operation: 39-14=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[14, 33, 6], Operations: ['45-39=6']
Exploring Operation: 33-6=27, Resulting Numbers: [14, 27]
Generated Node #0,0,0: 13:[14, 27] Operation: 33-6=27
Exploring Operation: 14+6=20, Resulting Numbers: [33, 20]
Generated Node #0,0,1: 13:[33, 20] Operation: 14+6=20
Exploring Operation: 33-14=19, Resulting Numbers: [6, 19]
Generated Node #0,0,2: 13:[6, 19] Operation: 33-14=19
Exploring Operation: 14-6=8, Resulting Numbers: [33, 8]
Generated Node #0,0,3: 13:[33, 8] Operation: 14-6=8
Moving to Node #0,0,2
Current State: 13:[6, 19], Operations: ['45-39=6', '33-14=19']
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,13 unequal: No Solution
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[39, 45, 14, 33], Operations: []
Exploring Operation: 45-39=6, Resulting Numbers: [14, 33, 6]
Generated Node #0,0: 13:[14, 33, 6] Operation: 45-39=6
Moving to Node #0,0
Current State: 13:[14, 33, 6], Operations: ['45-39=6']
Exploring Operation: 33-14=19, Resulting Numbers: [6, 19]
Generated Node #0,0,2: 13:[6, 19] Operation: 33-14=19
Moving to Node #0,0,2
Current State: 13:[6, 19], Operations: ['45-39=6', '33-14=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
25,
98,
53,
32
] | 12 | [
"98-25=73",
"53+32=85",
"85-73=12"
] | Current State: 12:[25, 98, 53, 32], Operations: []
Exploring Operation: 98-25=73, Resulting Numbers: [53, 32, 73]
Generated Node #2: [53, 32, 73] from Operation: 98-25=73
Current State: 12:[53, 32, 73], Operations: ['98-25=73']
Exploring Operation: 53+32=85, Resulting Numbers: [73, 85]
Generated Node #3: [73, 85] from Operation: 53+32=85
Current State: 12:[73, 85], Operations: ['98-25=73', '53+32=85']
Exploring Operation: 85-73=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[25, 98, 53, 32], Operations: []
Exploring Operation: 98-32=66, Resulting Numbers: [25, 53, 66]
Generated Node #0,0: 12:[25, 53, 66] Operation: 98-32=66
Exploring Operation: 98-53=45, Resulting Numbers: [25, 32, 45]
Generated Node #0,1: 12:[25, 32, 45] Operation: 98-53=45
Moving to Node #0,1
Current State: 12:[25, 32, 45], Operations: ['98-53=45']
Exploring Operation: 45-25=20, Resulting Numbers: [32, 20]
Generated Node #0,1,0: 12:[32, 20] Operation: 45-25=20
Exploring Operation: 45-32=13, Resulting Numbers: [25, 13]
Generated Node #0,1,1: 12:[25, 13] Operation: 45-32=13
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[25, 13], Operations: ['98-53=45', '45-32=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[25, 98, 53, 32], Operations: []
Exploring Operation: 98-53=45, Resulting Numbers: [25, 32, 45]
Generated Node #0,1: 12:[25, 32, 45] Operation: 98-53=45
Moving to Node #0,1
Current State: 12:[25, 32, 45], Operations: ['98-53=45']
Exploring Operation: 45-32=13, Resulting Numbers: [25, 13]
Generated Node #0,1,1: 12:[25, 13] Operation: 45-32=13
Moving to Node #0,1,1
Current State: 12:[25, 13], Operations: ['98-53=45', '45-32=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
32,
88,
82,
63
] | 89 | [
"88-32=56",
"82+63=145",
"145-56=89"
] | Current State: 89:[32, 88, 82, 63], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [82, 63, 56]
Generated Node #2: [82, 63, 56] from Operation: 88-32=56
Current State: 89:[82, 63, 56], Operations: ['88-32=56']
Exploring Operation: 82+63=145, Resulting Numbers: [56, 145]
Generated Node #3: [56, 145] from Operation: 82+63=145
Current State: 89:[56, 145], Operations: ['88-32=56', '82+63=145']
Exploring Operation: 145-56=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[32, 88, 82, 63], Operations: []
Exploring Operation: 82-32=50, Resulting Numbers: [88, 63, 50]
Generated Node #0,0: 89:[88, 63, 50] Operation: 82-32=50
Exploring Operation: 88-32=56, Resulting Numbers: [82, 63, 56]
Generated Node #0,1: 89:[82, 63, 56] Operation: 88-32=56
Exploring Operation: 32+88=120, Resulting Numbers: [82, 63, 120]
Generated Node #0,2: 89:[82, 63, 120] Operation: 32+88=120
Exploring Operation: 32+63=95, Resulting Numbers: [88, 82, 95]
Generated Node #0,3: 89:[88, 82, 95] Operation: 32+63=95
Exploring Operation: 32+82=114, Resulting Numbers: [88, 63, 114]
Generated Node #0,4: 89:[88, 63, 114] Operation: 32+82=114
Moving to Node #0,3
Current State: 89:[88, 82, 95], Operations: ['32+63=95']
Exploring Operation: 82+95=177, Resulting Numbers: [88, 177]
Generated Node #0,3,0: 89:[88, 177] Operation: 82+95=177
Exploring Operation: 95-88=7, Resulting Numbers: [82, 7]
Generated Node #0,3,1: 89:[82, 7] Operation: 95-88=7
Exploring Operation: 88-82=6, Resulting Numbers: [95, 6]
Generated Node #0,3,2: 89:[95, 6] Operation: 88-82=6
Exploring Operation: 88+82=170, Resulting Numbers: [95, 170]
Generated Node #0,3,3: 89:[95, 170] Operation: 88+82=170
Exploring Operation: 95-82=13, Resulting Numbers: [88, 13]
Generated Node #0,3,4: 89:[88, 13] Operation: 95-82=13
Moving to Node #0,4
Current State: 89:[88, 63, 114], Operations: ['32+82=114']
Exploring Operation: 88+63=151, Resulting Numbers: [114, 151]
Generated Node #0,4,0: 89:[114, 151] Operation: 88+63=151
Exploring Operation: 114-63=51, Resulting Numbers: [88, 51]
Generated Node #0,4,1: 89:[88, 51] Operation: 114-63=51
Exploring Operation: 114-88=26, Resulting Numbers: [63, 26]
Generated Node #0,4,2: 89:[63, 26] Operation: 114-88=26
Exploring Operation: 63+114=177, Resulting Numbers: [88, 177]
Generated Node #0,4,3: 89:[88, 177] Operation: 63+114=177
Exploring Operation: 88-63=25, Resulting Numbers: [114, 25]
Generated Node #0,4,4: 89:[114, 25] Operation: 88-63=25
Moving to Node #0,2
Current State: 89:[82, 63, 120], Operations: ['32+88=120']
Exploring Operation: 82-63=19, Resulting Numbers: [120, 19]
Generated Node #0,2,0: 89:[120, 19] Operation: 82-63=19
Exploring Operation: 63+120=183, Resulting Numbers: [82, 183]
Generated Node #0,2,1: 89:[82, 183] Operation: 63+120=183
Exploring Operation: 82+63=145, Resulting Numbers: [120, 145]
Generated Node #0,2,2: 89:[120, 145] Operation: 82+63=145
Exploring Operation: 120-63=57, Resulting Numbers: [82, 57]
Generated Node #0,2,3: 89:[82, 57] Operation: 120-63=57
Exploring Operation: 120-82=38, Resulting Numbers: [63, 38]
Generated Node #0,2,4: 89:[63, 38] Operation: 120-82=38
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 89:[82, 57], Operations: ['32+88=120', '120-63=57']
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,89 unequal: No Solution
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 89:[63, 38], Operations: ['32+88=120', '120-82=38']
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,89 unequal: No Solution
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 89:[120, 145], Operations: ['32+88=120', '82+63=145']
Exploring Operation: 120*145=17400, Resulting Numbers: [17400]
17400,89 unequal: No Solution
Exploring Operation: 145-120=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 120+145=265, Resulting Numbers: [265]
265,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 89:[120, 19], Operations: ['32+88=120', '82-63=19']
Exploring Operation: 120+19=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 120*19=2280, Resulting Numbers: [2280]
2280,89 unequal: No Solution
Exploring Operation: 120-19=101, Resulting Numbers: [101]
101,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 89:[82, 183], Operations: ['32+88=120', '63+120=183']
Exploring Operation: 82+183=265, Resulting Numbers: [265]
265,89 unequal: No Solution
Exploring Operation: 183-82=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 82*183=15006, Resulting Numbers: [15006]
15006,89 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: 89:[88, 63, 50], Operations: ['82-32=50']
Exploring Operation: 63+50=113, Resulting Numbers: [88, 113]
Generated Node #0,0,0: 89:[88, 113] Operation: 63+50=113
Exploring Operation: 88+50=138, Resulting Numbers: [63, 138]
Generated Node #0,0,1: 89:[63, 138] Operation: 88+50=138
Exploring Operation: 88+63=151, Resulting Numbers: [50, 151]
Generated Node #0,0,2: 89:[50, 151] Operation: 88+63=151
Exploring Operation: 63-50=13, Resulting Numbers: [88, 13]
Generated Node #0,0,3: 89:[88, 13] Operation: 63-50=13
Exploring Operation: 88-50=38, Resulting Numbers: [63, 38]
Generated Node #0,0,4: 89:[63, 38] Operation: 88-50=38
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[88, 113], Operations: ['82-32=50', '63+50=113']
Exploring Operation: 88*113=9944, Resulting Numbers: [9944]
9944,89 unequal: No Solution
Exploring Operation: 113-88=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 88+113=201, Resulting Numbers: [201]
201,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[63, 138], Operations: ['82-32=50', '88+50=138']
Exploring Operation: 138-63=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 63*138=8694, Resulting Numbers: [8694]
8694,89 unequal: No Solution
Exploring Operation: 63+138=201, Resulting Numbers: [201]
201,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[88, 13], Operations: ['82-32=50', '63-50=13']
Exploring Operation: 88*13=1144, Resulting Numbers: [1144]
1144,89 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 89:[63, 38], Operations: ['82-32=50', '88-50=38']
Exploring Operation: 63-38=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 63+38=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 63*38=2394, Resulting Numbers: [2394]
2394,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[50, 151], Operations: ['82-32=50', '88+63=151']
Exploring Operation: 50+151=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 50*151=7550, Resulting Numbers: [7550]
7550,89 unequal: No Solution
Exploring Operation: 151-50=101, Resulting Numbers: [101]
101,89 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: 89:[82, 63, 56], Operations: ['88-32=56']
Exploring Operation: 82-56=26, Resulting Numbers: [63, 26]
Generated Node #0,1,0: 89:[63, 26] Operation: 82-56=26
Exploring Operation: 82+56=138, Resulting Numbers: [63, 138]
Generated Node #0,1,1: 89:[63, 138] Operation: 82+56=138
Exploring Operation: 63-56=7, Resulting Numbers: [82, 7]
Generated Node #0,1,2: 89:[82, 7] Operation: 63-56=7
Exploring Operation: 82+63=145, Resulting Numbers: [56, 145]
Generated Node #0,1,3: 89:[56, 145] Operation: 82+63=145
Exploring Operation: 63+56=119, Resulting Numbers: [82, 119]
Generated Node #0,1,4: 89:[82, 119] Operation: 63+56=119
Moving to Node #0,1,4
Current State: 89:[82, 119], Operations: ['88-32=56', '63+56=119']
Exploring Operation: 82*119=9758, Resulting Numbers: [9758]
9758,89 unequal: No Solution
Exploring Operation: 82+119=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Exploring Operation: 119-82=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Moving to Node #0,4,1
Current State: 89:[88, 51], Operations: ['32+82=114', '114-63=51']
Exploring Operation: 88+51=139, Resulting Numbers: [139]
139,89 unequal: No Solution
Exploring Operation: 88-51=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 88*51=4488, Resulting Numbers: [4488]
4488,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[63, 138], Operations: ['88-32=56', '82+56=138']
Exploring Operation: 138-63=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 63*138=8694, Resulting Numbers: [8694]
8694,89 unequal: No Solution
Exploring Operation: 63+138=201, Resulting Numbers: [201]
201,89 unequal: No Solution
Moving to Node #0,3,4
Current State: 89:[88, 13], Operations: ['32+63=95', '95-82=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,89 unequal: No Solution
Exploring Operation: 88*13=1144, Resulting Numbers: [1144]
1144,89 unequal: No Solution
Moving to Node #0,4,0
Current State: 89:[114, 151], Operations: ['32+82=114', '88+63=151']
Exploring Operation: 151-114=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 114*151=17214, Resulting Numbers: [17214]
17214,89 unequal: No Solution
Exploring Operation: 114+151=265, Resulting Numbers: [265]
265,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[95, 170], Operations: ['32+63=95', '88+82=170']
Exploring Operation: 170-95=75, Resulting Numbers: [75]
75,89 unequal: No Solution
Exploring Operation: 95+170=265, Resulting Numbers: [265]
265,89 unequal: No Solution
Exploring Operation: 95*170=16150, Resulting Numbers: [16150]
16150,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[82, 7], Operations: ['88-32=56', '63-56=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[32, 88, 82, 63], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [82, 63, 56]
Generated Node #0,1: 89:[82, 63, 56] Operation: 88-32=56
Moving to Node #0,1
Current State: 89:[82, 63, 56], Operations: ['88-32=56']
Exploring Operation: 63-56=7, Resulting Numbers: [82, 7]
Generated Node #0,1,2: 89:[82, 7] Operation: 63-56=7
Moving to Node #0,1,2
Current State: 89:[82, 7], Operations: ['88-32=56', '63-56=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 0.927951 | hs_5 | mult_heuristic |
[
61,
73,
43,
45
] | 49 | [
"45-43=2",
"61*2=122",
"122-73=49"
] | Current State: 49:[61, 73, 43, 45], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [61, 73, 2]
Generated Node #2: [61, 73, 2] from Operation: 45-43=2
Current State: 49:[61, 73, 2], Operations: ['45-43=2']
Exploring Operation: 61*2=122, Resulting Numbers: [73, 122]
Generated Node #3: [73, 122] from Operation: 61*2=122
Current State: 49:[73, 122], Operations: ['45-43=2', '61*2=122']
Exploring Operation: 122-73=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[61, 73, 43, 45], Operations: []
Exploring Operation: 61-43=18, Resulting Numbers: [73, 45, 18]
Generated Node #0,0: 49:[73, 45, 18] Operation: 61-43=18
Exploring Operation: 73-61=12, Resulting Numbers: [43, 45, 12]
Generated Node #0,1: 49:[43, 45, 12] Operation: 73-61=12
Exploring Operation: 73-43=30, Resulting Numbers: [61, 45, 30]
Generated Node #0,2: 49:[61, 45, 30] Operation: 73-43=30
Exploring Operation: 61-45=16, Resulting Numbers: [73, 43, 16]
Generated Node #0,3: 49:[73, 43, 16] Operation: 61-45=16
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[43, 45, 12], Operations: ['73-61=12']
Exploring Operation: 43-12=31, Resulting Numbers: [45, 31]
Generated Node #0,1,0: 49:[45, 31] Operation: 43-12=31
Exploring Operation: 45+12=57, Resulting Numbers: [43, 57]
Generated Node #0,1,1: 49:[43, 57] Operation: 45+12=57
Exploring Operation: 45-43=2, Resulting Numbers: [12, 2]
Generated Node #0,1,2: 49:[12, 2] Operation: 45-43=2
Exploring Operation: 43+12=55, Resulting Numbers: [45, 55]
Generated Node #0,1,3: 49:[45, 55] Operation: 43+12=55
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[12, 2], Operations: ['73-61=12', '45-43=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,49 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 #0,1,3
Current State: 49:[45, 55], Operations: ['73-61=12', '43+12=55']
Exploring Operation: 45*55=2475, Resulting Numbers: [2475]
2475,49 unequal: No Solution
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,49 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 #0,1,1
Current State: 49:[43, 57], Operations: ['73-61=12', '45+12=57']
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,49 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,49 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 #0,1,0
Current State: 49:[45, 31], Operations: ['73-61=12', '43-12=31']
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,49 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: 49:[61, 45, 30], Operations: ['73-43=30']
Exploring Operation: 61-45=16, Resulting Numbers: [30, 16]
Generated Node #0,2,0: 49:[30, 16] Operation: 61-45=16
Exploring Operation: 45+30=75, Resulting Numbers: [61, 75]
Generated Node #0,2,1: 49:[61, 75] Operation: 45+30=75
Exploring Operation: 45-30=15, Resulting Numbers: [61, 15]
Generated Node #0,2,2: 49:[61, 15] Operation: 45-30=15
Exploring Operation: 61-30=31, Resulting Numbers: [45, 31]
Generated Node #0,2,3: 49:[45, 31] Operation: 61-30=31
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[61, 15], Operations: ['73-43=30', '45-30=15']
Exploring Operation: 61+15=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 61-15=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 61*15=915, Resulting Numbers: [915]
915,49 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:[45, 31], Operations: ['73-43=30', '61-30=31']
Exploring Operation: 45+31=76, Resulting Numbers: [76]
76,49 unequal: No Solution
Exploring Operation: 45*31=1395, Resulting Numbers: [1395]
1395,49 unequal: No Solution
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,49 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 #0,2,0
Current State: 49:[30, 16], Operations: ['73-43=30', '61-45=16']
Exploring Operation: 30*16=480, Resulting Numbers: [480]
480,49 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 30+16=46, Resulting Numbers: [46]
46,49 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:[61, 75], Operations: ['73-43=30', '45+30=75']
Exploring Operation: 61+75=136, Resulting Numbers: [136]
136,49 unequal: No Solution
Exploring Operation: 61*75=4575, Resulting Numbers: [4575]
4575,49 unequal: No Solution
Exploring Operation: 75-61=14, Resulting Numbers: [14]
14,49 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: 49:[73, 45, 18], Operations: ['61-43=18']
Exploring Operation: 73-45=28, Resulting Numbers: [18, 28]
Generated Node #0,0,0: 49:[18, 28] Operation: 73-45=28
Exploring Operation: 45-18=27, Resulting Numbers: [73, 27]
Generated Node #0,0,1: 49:[73, 27] Operation: 45-18=27
Exploring Operation: 73-18=55, Resulting Numbers: [45, 55]
Generated Node #0,0,2: 49:[45, 55] Operation: 73-18=55
Exploring Operation: 45+18=63, Resulting Numbers: [73, 63]
Generated Node #0,0,3: 49:[73, 63] Operation: 45+18=63
Moving to Node #0,0,2
Current State: 49:[45, 55], Operations: ['61-43=18', '73-18=55']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 45*55=2475, Resulting Numbers: [2475]
2475,49 unequal: No Solution
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[18, 28], Operations: ['61-43=18', '73-45=28']
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,49 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[73, 63], Operations: ['61-43=18', '45+18=63']
Exploring Operation: 73+63=136, Resulting Numbers: [136]
136,49 unequal: No Solution
Exploring Operation: 73-63=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 73*63=4599, Resulting Numbers: [4599]
4599,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[73, 27], Operations: ['61-43=18', '45-18=27']
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,49 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[73, 43, 16], Operations: ['61-45=16']
Exploring Operation: 43+16=59, Resulting Numbers: [73, 59]
Generated Node #0,3,0: 49:[73, 59] Operation: 43+16=59
Exploring Operation: 73-43=30, Resulting Numbers: [16, 30]
Generated Node #0,3,1: 49:[16, 30] Operation: 73-43=30
Exploring Operation: 73-16=57, Resulting Numbers: [43, 57]
Generated Node #0,3,2: 49:[43, 57] Operation: 73-16=57
Exploring Operation: 43-16=27, Resulting Numbers: [73, 27]
Generated Node #0,3,3: 49:[73, 27] Operation: 43-16=27
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 49:[43, 57], Operations: ['61-45=16', '73-16=57']
Exploring Operation: 43*57=2451, Resulting Numbers: [2451]
2451,49 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 43+57=100, Resulting Numbers: [100]
100,49 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 #0,3,1
Current State: 49:[16, 30], Operations: ['61-45=16', '73-43=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,49 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,49 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 #0,3,0
Current State: 49:[73, 59], Operations: ['61-45=16', '43+16=59']
Exploring Operation: 73+59=132, Resulting Numbers: [132]
132,49 unequal: No Solution
Exploring Operation: 73-59=14, Resulting Numbers: [14]
14,49 unequal: No Solution
Exploring Operation: 73*59=4307, Resulting Numbers: [4307]
4307,49 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 #0,3,3
Current State: 49:[73, 27], Operations: ['61-45=16', '43-16=27']
Exploring Operation: 73*27=1971, Resulting Numbers: [1971]
1971,49 unequal: No Solution
Exploring Operation: 73+27=100, Resulting Numbers: [100]
100,49 unequal: No Solution
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
80,
26,
75,
37
] | 58 | [
"80-26=54",
"75+37=112",
"112-54=58"
] | Current State: 58:[80, 26, 75, 37], Operations: []
Exploring Operation: 80-26=54, Resulting Numbers: [75, 37, 54]
Generated Node #2: [75, 37, 54] from Operation: 80-26=54
Current State: 58:[75, 37, 54], Operations: ['80-26=54']
Exploring Operation: 75+37=112, Resulting Numbers: [54, 112]
Generated Node #3: [54, 112] from Operation: 75+37=112
Current State: 58:[54, 112], Operations: ['80-26=54', '75+37=112']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[80, 26, 75, 37], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [26, 37, 5]
Generated Node #0,0: 58:[26, 37, 5] Operation: 80-75=5
Exploring Operation: 80-37=43, Resulting Numbers: [26, 75, 43]
Generated Node #0,1: 58:[26, 75, 43] Operation: 80-37=43
Exploring Operation: 80-26=54, Resulting Numbers: [75, 37, 54]
Generated Node #0,2: 58:[75, 37, 54] Operation: 80-26=54
Moving to Node #0,0
Current State: 58:[26, 37, 5], Operations: ['80-75=5']
Exploring Operation: 26+37=63, Resulting Numbers: [5, 63]
Generated Node #0,0,0: 58:[5, 63] Operation: 26+37=63
Exploring Operation: 26+5=31, Resulting Numbers: [37, 31]
Generated Node #0,0,1: 58:[37, 31] Operation: 26+5=31
Exploring Operation: 37-5=32, Resulting Numbers: [26, 32]
Generated Node #0,0,2: 58:[26, 32] Operation: 37-5=32
Moving to Node #0,2
Current State: 58:[75, 37, 54], Operations: ['80-26=54']
Exploring Operation: 75-54=21, Resulting Numbers: [37, 21]
Generated Node #0,2,0: 58:[37, 21] Operation: 75-54=21
Exploring Operation: 54-37=17, Resulting Numbers: [75, 17]
Generated Node #0,2,1: 58:[75, 17] Operation: 54-37=17
Exploring Operation: 75-37=38, Resulting Numbers: [54, 38]
Generated Node #0,2,2: 58:[54, 38] Operation: 75-37=38
Moving to Node #0,1
Current State: 58:[26, 75, 43], Operations: ['80-37=43']
Exploring Operation: 26+43=69, Resulting Numbers: [75, 69]
Generated Node #0,1,0: 58:[75, 69] Operation: 26+43=69
Exploring Operation: 75-43=32, Resulting Numbers: [26, 32]
Generated Node #0,1,1: 58:[26, 32] Operation: 75-43=32
Exploring Operation: 75-26=49, Resulting Numbers: [43, 49]
Generated Node #0,1,2: 58:[43, 49] Operation: 75-26=49
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[26, 32], Operations: ['80-37=43', '75-43=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[80, 26, 75, 37], Operations: []
Exploring Operation: 80-37=43, Resulting Numbers: [26, 75, 43]
Generated Node #0,1: 58:[26, 75, 43] Operation: 80-37=43
Moving to Node #0,1
Current State: 58:[26, 75, 43], Operations: ['80-37=43']
Exploring Operation: 75-43=32, Resulting Numbers: [26, 32]
Generated Node #0,1,1: 58:[26, 32] Operation: 75-43=32
Moving to Node #0,1,1
Current State: 58:[26, 32], Operations: ['80-37=43', '75-43=32']
Exploring Operation: 26+32=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
73,
10,
95,
23
] | 90 | [
"73-23=50",
"50/10=5",
"95-5=90"
] | Current State: 90:[73, 10, 95, 23], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [10, 95, 50]
Generated Node #2: [10, 95, 50] from Operation: 73-23=50
Current State: 90:[10, 95, 50], Operations: ['73-23=50']
Exploring Operation: 50/10=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 50/10=5
Current State: 90:[95, 5], Operations: ['73-23=50', '50/10=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[73, 10, 95, 23], Operations: []
Exploring Operation: 95-73=22, Resulting Numbers: [10, 23, 22]
Generated Node #0,0: 90:[10, 23, 22] Operation: 95-73=22
Exploring Operation: 73+23=96, Resulting Numbers: [10, 95, 96]
Generated Node #0,1: 90:[10, 95, 96] Operation: 73+23=96
Exploring Operation: 73+10=83, Resulting Numbers: [95, 23, 83]
Generated Node #0,2: 90:[95, 23, 83] Operation: 73+10=83
Exploring Operation: 23-10=13, Resulting Numbers: [73, 95, 13]
Generated Node #0,3: 90:[73, 95, 13] Operation: 23-10=13
Exploring Operation: 73-23=50, Resulting Numbers: [10, 95, 50]
Generated Node #0,4: 90:[10, 95, 50] Operation: 73-23=50
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[10, 23, 22], Operations: ['95-73=22']
Exploring Operation: 23-10=13, Resulting Numbers: [22, 13]
Generated Node #0,0,0: 90:[22, 13] Operation: 23-10=13
Exploring Operation: 23-22=1, Resulting Numbers: [10, 1]
Generated Node #0,0,1: 90:[10, 1] Operation: 23-22=1
Exploring Operation: 23+22=45, Resulting Numbers: [10, 45]
Generated Node #0,0,2: 90:[10, 45] Operation: 23+22=45
Exploring Operation: 10+23=33, Resulting Numbers: [22, 33]
Generated Node #0,0,3: 90:[22, 33] Operation: 10+23=33
Exploring Operation: 10+22=32, Resulting Numbers: [23, 32]
Generated Node #0,0,4: 90:[23, 32] Operation: 10+22=32
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[10, 45], Operations: ['95-73=22', '23+22=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,90 unequal: No Solution
No 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: 90:[10, 1], Operations: ['95-73=22', '23-22=1']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,90 unequal: No Solution
No 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: 90:[22, 13], Operations: ['95-73=22', '23-10=13']
Exploring Operation: 22*13=286, Resulting Numbers: [286]
286,90 unequal: No Solution
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 22+13=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No 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: 90:[22, 33], Operations: ['95-73=22', '10+23=33']
Exploring Operation: 22+33=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 22*33=726, Resulting Numbers: [726]
726,90 unequal: No Solution
Exploring Operation: 33-22=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No 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: 90:[23, 32], Operations: ['95-73=22', '10+22=32']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,90 unequal: No Solution
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,90 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: 90:[10, 95, 50], Operations: ['73-23=50']
Exploring Operation: 50/10=5, Resulting Numbers: [95, 5]
Generated Node #0,4,0: 90:[95, 5] Operation: 50/10=5
Exploring Operation: 95-50=45, Resulting Numbers: [10, 45]
Generated Node #0,4,1: 90:[10, 45] Operation: 95-50=45
Exploring Operation: 10+95=105, Resulting Numbers: [50, 105]
Generated Node #0,4,2: 90:[50, 105] Operation: 10+95=105
Exploring Operation: 95-10=85, Resulting Numbers: [50, 85]
Generated Node #0,4,3: 90:[50, 85] Operation: 95-10=85
Exploring Operation: 50-10=40, Resulting Numbers: [95, 40]
Generated Node #0,4,4: 90:[95, 40] Operation: 50-10=40
Moving to Node #0,4,1
Current State: 90:[10, 45], Operations: ['73-23=50', '95-50=45']
Exploring Operation: 10*45=450, Resulting Numbers: [450]
450,90 unequal: No Solution
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,90 unequal: No Solution
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[95, 5], Operations: ['73-23=50', '50/10=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,90 unequal: No Solution
Exploring Operation: 95*5=475, Resulting Numbers: [475]
475,90 unequal: No Solution
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,90 unequal: No Solution
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[73, 10, 95, 23], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [10, 95, 50]
Generated Node #0,4: 90:[10, 95, 50] Operation: 73-23=50
Moving to Node #0,4
Current State: 90:[10, 95, 50], Operations: ['73-23=50']
Exploring Operation: 50/10=5, Resulting Numbers: [95, 5]
Generated Node #0,4,0: 90:[95, 5] Operation: 50/10=5
Moving to Node #0,4,0
Current State: 90:[95, 5], Operations: ['73-23=50', '50/10=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
12,
6,
48,
11
] | 76 | [
"48/6=8",
"11*8=88",
"88-12=76"
] | Current State: 76:[12, 6, 48, 11], Operations: []
Exploring Operation: 48/6=8, Resulting Numbers: [12, 11, 8]
Generated Node #2: [12, 11, 8] from Operation: 48/6=8
Current State: 76:[12, 11, 8], Operations: ['48/6=8']
Exploring Operation: 11*8=88, Resulting Numbers: [12, 88]
Generated Node #3: [12, 88] from Operation: 11*8=88
Current State: 76:[12, 88], Operations: ['48/6=8', '11*8=88']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[12, 6, 48, 11], Operations: []
Exploring Operation: 48/12=4, Resulting Numbers: [6, 11, 4]
Generated Node #0,0: 76:[6, 11, 4] Operation: 48/12=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[6, 11, 4], Operations: ['48/12=4']
Exploring Operation: 11-6=5, Resulting Numbers: [4, 5]
Generated Node #0,0,0: 76:[4, 5] Operation: 11-6=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[4, 5], Operations: ['48/12=4', '11-6=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,76 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 |
[
2,
52,
1,
47
] | 99 | [
"2-1=1",
"52+47=99",
"1*99=99"
] | Current State: 99:[2, 52, 1, 47], Operations: []
Exploring Operation: 2-1=1, Resulting Numbers: [52, 47, 1]
Generated Node #2: [52, 47, 1] from Operation: 2-1=1
Current State: 99:[52, 47, 1], Operations: ['2-1=1']
Exploring Operation: 52+47=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 52+47=99
Current State: 99:[1, 99], Operations: ['2-1=1', '52+47=99']
Exploring Operation: 1*99=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[2, 52, 1, 47], Operations: []
Exploring Operation: 52-47=5, Resulting Numbers: [2, 1, 5]
Generated Node #0,0: 99:[2, 1, 5] Operation: 52-47=5
Exploring Operation: 52+47=99, Resulting Numbers: [2, 1, 99]
Generated Node #0,1: 99:[2, 1, 99] Operation: 52+47=99
Moving to Node #0,1
Current State: 99:[2, 1, 99], Operations: ['52+47=99']
Exploring Operation: 2*1=2, Resulting Numbers: [99, 2]
Generated Node #0,1,0: 99:[99, 2] Operation: 2*1=2
Exploring Operation: 2+1=3, Resulting Numbers: [99, 3]
Generated Node #0,1,1: 99:[99, 3] Operation: 2+1=3
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 99:[99, 3], Operations: ['52+47=99', '2+1=3']
Exploring Operation: 99+3=102, Resulting Numbers: [102]
102,99 unequal: No Solution
Exploring Operation: 99/3=33, Resulting Numbers: [33]
33,99 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 #0,1,0
Current State: 99:[99, 2], Operations: ['52+47=99', '2*1=2']
Exploring Operation: 99+2=101, Resulting Numbers: [101]
101,99 unequal: No Solution
Exploring Operation: 99-2=97, Resulting Numbers: [97]
97,99 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: 99:[2, 1, 5], Operations: ['52-47=5']
Exploring Operation: 2+1=3, Resulting Numbers: [5, 3]
Generated Node #0,0,0: 99:[5, 3] Operation: 2+1=3
Exploring Operation: 5-2=3, Resulting Numbers: [1, 3]
Generated Node #0,0,1: 99:[1, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 99:[5, 3], Operations: ['52-47=5', '2+1=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,99 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,99 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 #0,0,1
Current State: 99:[1, 3], Operations: ['52-47=5', '5-2=3']
Exploring Operation: 1*3=3, Resulting Numbers: [3]
3,99 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,99 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 |
[
90,
54,
96,
69
] | 46 | [
"90+54=144",
"96*69=6624",
"6624/144=46"
] | Current State: 46:[90, 54, 96, 69], Operations: []
Exploring Operation: 90+54=144, Resulting Numbers: [96, 69, 144]
Generated Node #2: [96, 69, 144] from Operation: 90+54=144
Current State: 46:[96, 69, 144], Operations: ['90+54=144']
Exploring Operation: 96*69=6624, Resulting Numbers: [144, 6624]
Generated Node #3: [144, 6624] from Operation: 96*69=6624
Current State: 46:[144, 6624], Operations: ['90+54=144', '96*69=6624']
Exploring Operation: 6624/144=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[90, 54, 96, 69], Operations: []
Exploring Operation: 90-54=36, Resulting Numbers: [96, 69, 36]
Generated Node #0,0: 46:[96, 69, 36] Operation: 90-54=36
Exploring Operation: 96-54=42, Resulting Numbers: [90, 69, 42]
Generated Node #0,1: 46:[90, 69, 42] Operation: 96-54=42
Exploring Operation: 96-69=27, Resulting Numbers: [90, 54, 27]
Generated Node #0,2: 46:[90, 54, 27] Operation: 96-69=27
Exploring Operation: 96-90=6, Resulting Numbers: [54, 69, 6]
Generated Node #0,3: 46:[54, 69, 6] Operation: 96-90=6
Exploring Operation: 90-69=21, Resulting Numbers: [54, 96, 21]
Generated Node #0,4: 46:[54, 96, 21] Operation: 90-69=21
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[54, 69, 6], Operations: ['96-90=6']
Exploring Operation: 54/6=9, Resulting Numbers: [69, 9]
Generated Node #0,3,0: 46:[69, 9] Operation: 54/6=9
Exploring Operation: 54-6=48, Resulting Numbers: [69, 48]
Generated Node #0,3,1: 46:[69, 48] Operation: 54-6=48
Exploring Operation: 69-54=15, Resulting Numbers: [6, 15]
Generated Node #0,3,2: 46:[6, 15] Operation: 69-54=15
Exploring Operation: 69-6=63, Resulting Numbers: [54, 63]
Generated Node #0,3,3: 46:[54, 63] Operation: 69-6=63
Exploring Operation: 54+6=60, Resulting Numbers: [69, 60]
Generated Node #0,3,4: 46:[69, 60] Operation: 54+6=60
Moving to Node #0,3,2
Current State: 46:[6, 15], Operations: ['96-90=6', '69-54=15']
Exploring Operation: 6+15=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 6*15=90, Resulting Numbers: [90]
90,46 unequal: No Solution
Moving to Node #0,3,3
Current State: 46:[54, 63], Operations: ['96-90=6', '69-6=63']
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,46 unequal: No Solution
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Moving to Node #0,3,1
Current State: 46:[69, 48], Operations: ['96-90=6', '54-6=48']
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,46 unequal: No Solution
Moving to Node #0,3,0
Current State: 46:[69, 9], Operations: ['96-90=6', '54/6=9']
Exploring Operation: 69*9=621, Resulting Numbers: [621]
621,46 unequal: No Solution
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,46 unequal: No Solution
Exploring Operation: 69+9=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Moving to Node #0,3,4
Current State: 46:[69, 60], Operations: ['96-90=6', '54+6=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,46 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,46 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,46 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
Current State: 46:[90, 54, 27], Operations: ['96-69=27']
Exploring Operation: 54-27=27, Resulting Numbers: [90, 27]
Generated Node #0,2,0: 46:[90, 27] Operation: 54-27=27
Exploring Operation: 90-27=63, Resulting Numbers: [54, 63]
Generated Node #0,2,1: 46:[54, 63] Operation: 90-27=63
Exploring Operation: 54/27=2, Resulting Numbers: [90, 2]
Generated Node #0,2,2: 46:[90, 2] Operation: 54/27=2
Exploring Operation: 90+27=117, Resulting Numbers: [54, 117]
Generated Node #0,2,3: 46:[54, 117] Operation: 90+27=117
Exploring Operation: 90-54=36, Resulting Numbers: [27, 36]
Generated Node #0,2,4: 46:[27, 36] Operation: 90-54=36
Moving to Node #0,2,4
Current State: 46:[27, 36], Operations: ['96-69=27', '90-54=36']
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,46 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[54, 63], Operations: ['96-69=27', '90-27=63']
Exploring Operation: 63-54=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 54+63=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 54*63=3402, Resulting Numbers: [3402]
3402,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[90, 2], Operations: ['96-69=27', '54/27=2']
Exploring Operation: 90+2=92, Resulting Numbers: [92]
92,46 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 90*2=180, Resulting Numbers: [180]
180,46 unequal: No Solution
Moving to Node #0,2,0
Current State: 46:[90, 27], Operations: ['96-69=27', '54-27=27']
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[54, 117], Operations: ['96-69=27', '90+27=117']
Exploring Operation: 117-54=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 54+117=171, Resulting Numbers: [171]
171,46 unequal: No Solution
Exploring Operation: 54*117=6318, Resulting Numbers: [6318]
6318,46 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 #0,4
Current State: 46:[54, 96, 21], Operations: ['90-69=21']
Exploring Operation: 96-54=42, Resulting Numbers: [21, 42]
Generated Node #0,4,0: 46:[21, 42] Operation: 96-54=42
Exploring Operation: 54+21=75, Resulting Numbers: [96, 75]
Generated Node #0,4,1: 46:[96, 75] Operation: 54+21=75
Exploring Operation: 54-21=33, Resulting Numbers: [96, 33]
Generated Node #0,4,2: 46:[96, 33] Operation: 54-21=33
Exploring Operation: 96+21=117, Resulting Numbers: [54, 117]
Generated Node #0,4,3: 46:[54, 117] Operation: 96+21=117
Exploring Operation: 96-21=75, Resulting Numbers: [54, 75]
Generated Node #0,4,4: 46:[54, 75] Operation: 96-21=75
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 46:[21, 42], Operations: ['90-69=21', '96-54=42']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 21+42=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 21*42=882, Resulting Numbers: [882]
882,46 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,46 unequal: No Solution
No 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: 46:[54, 75], Operations: ['90-69=21', '96-21=75']
Exploring Operation: 54+75=129, Resulting Numbers: [129]
129,46 unequal: No Solution
Exploring Operation: 54*75=4050, Resulting Numbers: [4050]
4050,46 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,46 unequal: No Solution
No 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: 46:[96, 33], Operations: ['90-69=21', '54-21=33']
Exploring Operation: 96+33=129, Resulting Numbers: [129]
129,46 unequal: No Solution
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 96*33=3168, Resulting Numbers: [3168]
3168,46 unequal: No Solution
No 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: 46:[96, 75], Operations: ['90-69=21', '54+21=75']
Exploring Operation: 96+75=171, Resulting Numbers: [171]
171,46 unequal: No Solution
Exploring Operation: 96*75=7200, Resulting Numbers: [7200]
7200,46 unequal: No Solution
Exploring Operation: 96-75=21, Resulting Numbers: [21]
21,46 unequal: No Solution
No 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: 46:[54, 117], Operations: ['90-69=21', '96+21=117']
Exploring Operation: 54*117=6318, Resulting Numbers: [6318]
6318,46 unequal: No Solution
Exploring Operation: 117-54=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 54+117=171, Resulting Numbers: [171]
171,46 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: 46:[90, 69, 42], Operations: ['96-54=42']
Exploring Operation: 90-69=21, Resulting Numbers: [42, 21]
Generated Node #0,1,0: 46:[42, 21] Operation: 90-69=21
Exploring Operation: 90-42=48, Resulting Numbers: [69, 48]
Generated Node #0,1,1: 46:[69, 48] Operation: 90-42=48
Exploring Operation: 69-42=27, Resulting Numbers: [90, 27]
Generated Node #0,1,2: 46:[90, 27] Operation: 69-42=27
Exploring Operation: 69+42=111, Resulting Numbers: [90, 111]
Generated Node #0,1,3: 46:[90, 111] Operation: 69+42=111
Exploring Operation: 90+42=132, Resulting Numbers: [69, 132]
Generated Node #0,1,4: 46:[69, 132] Operation: 90+42=132
Moving to Node #0,1,0
Current State: 46:[42, 21], Operations: ['96-54=42', '90-69=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[69, 48], Operations: ['96-54=42', '90-42=48']
Exploring Operation: 69*48=3312, Resulting Numbers: [3312]
3312,46 unequal: No Solution
Exploring Operation: 69+48=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[90, 27], Operations: ['96-54=42', '69-42=27']
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,46 unequal: No Solution
Exploring Operation: 90*27=2430, Resulting Numbers: [2430]
2430,46 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Moving to Node #0,1,3
Current State: 46:[90, 111], Operations: ['96-54=42', '69+42=111']
Exploring Operation: 90*111=9990, Resulting Numbers: [9990]
9990,46 unequal: No Solution
Exploring Operation: 111-90=21, Resulting Numbers: [21]
21,46 unequal: No Solution
Exploring Operation: 90+111=201, Resulting Numbers: [201]
201,46 unequal: No Solution
Moving to Node #0,1,4
Current State: 46:[69, 132], Operations: ['96-54=42', '90+42=132']
Exploring Operation: 132-69=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 69+132=201, Resulting Numbers: [201]
201,46 unequal: No Solution
Exploring Operation: 69*132=9108, Resulting Numbers: [9108]
9108,46 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 #0,0
Current State: 46:[96, 69, 36], Operations: ['90-54=36']
Exploring Operation: 96-36=60, Resulting Numbers: [69, 60]
Generated Node #0,0,0: 46:[69, 60] Operation: 96-36=60
Exploring Operation: 69-36=33, Resulting Numbers: [96, 33]
Generated Node #0,0,1: 46:[96, 33] Operation: 69-36=33
Exploring Operation: 96+36=132, Resulting Numbers: [69, 132]
Generated Node #0,0,2: 46:[69, 132] Operation: 96+36=132
Exploring Operation: 96-69=27, Resulting Numbers: [36, 27]
Generated Node #0,0,3: 46:[36, 27] Operation: 96-69=27
Exploring Operation: 69+36=105, Resulting Numbers: [96, 105]
Generated Node #0,0,4: 46:[96, 105] Operation: 69+36=105
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 46:[36, 27], Operations: ['90-54=36', '96-69=27']
Exploring Operation: 36*27=972, Resulting Numbers: [972]
972,46 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No 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: 46:[69, 60], Operations: ['90-54=36', '96-36=60']
Exploring Operation: 69+60=129, Resulting Numbers: [129]
129,46 unequal: No Solution
Exploring Operation: 69-60=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 69*60=4140, Resulting Numbers: [4140]
4140,46 unequal: No Solution
No 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: 46:[96, 33], Operations: ['90-54=36', '69-36=33']
Exploring Operation: 96+33=129, Resulting Numbers: [129]
129,46 unequal: No Solution
Exploring Operation: 96*33=3168, Resulting Numbers: [3168]
3168,46 unequal: No Solution
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,46 unequal: No Solution
No 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: 46:[69, 132], Operations: ['90-54=36', '96+36=132']
Exploring Operation: 132-69=63, Resulting Numbers: [63]
63,46 unequal: No Solution
Exploring Operation: 69*132=9108, Resulting Numbers: [9108]
9108,46 unequal: No Solution
Exploring Operation: 69+132=201, Resulting Numbers: [201]
201,46 unequal: No Solution
No 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: 46:[96, 105], Operations: ['90-54=36', '69+36=105']
Exploring Operation: 96+105=201, Resulting Numbers: [201]
201,46 unequal: No Solution
Exploring Operation: 105-96=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 96*105=10080, Resulting Numbers: [10080]
10080,46 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 |
[
2,
83,
99,
45
] | 56 | [
"99-45=54",
"54/2=27",
"83-27=56"
] | Current State: 56:[2, 83, 99, 45], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [2, 83, 54]
Generated Node #2: [2, 83, 54] from Operation: 99-45=54
Current State: 56:[2, 83, 54], Operations: ['99-45=54']
Exploring Operation: 54/2=27, Resulting Numbers: [83, 27]
Generated Node #3: [83, 27] from Operation: 54/2=27
Current State: 56:[83, 27], Operations: ['99-45=54', '54/2=27']
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[2, 83, 99, 45], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [83, 45, 97]
Generated Node #0,0: 56:[83, 45, 97] Operation: 99-2=97
Exploring Operation: 83-45=38, Resulting Numbers: [2, 99, 38]
Generated Node #0,1: 56:[2, 99, 38] Operation: 83-45=38
Exploring Operation: 99-45=54, Resulting Numbers: [2, 83, 54]
Generated Node #0,2: 56:[2, 83, 54] Operation: 99-45=54
Exploring Operation: 99-83=16, Resulting Numbers: [2, 45, 16]
Generated Node #0,3: 56:[2, 45, 16] Operation: 99-83=16
Exploring Operation: 83-2=81, Resulting Numbers: [99, 45, 81]
Generated Node #0,4: 56:[99, 45, 81] Operation: 83-2=81
Moving to Node #0,3
Current State: 56:[2, 45, 16], Operations: ['99-83=16']
Exploring Operation: 16-2=14, Resulting Numbers: [45, 14]
Generated Node #0,3,0: 56:[45, 14] Operation: 16-2=14
Exploring Operation: 45-16=29, Resulting Numbers: [2, 29]
Generated Node #0,3,1: 56:[2, 29] Operation: 45-16=29
Exploring Operation: 16/2=8, Resulting Numbers: [45, 8]
Generated Node #0,3,2: 56:[45, 8] Operation: 16/2=8
Exploring Operation: 2+45=47, Resulting Numbers: [16, 47]
Generated Node #0,3,3: 56:[16, 47] Operation: 2+45=47
Exploring Operation: 45+16=61, Resulting Numbers: [2, 61]
Generated Node #0,3,4: 56:[2, 61] Operation: 45+16=61
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[2, 29], Operations: ['99-83=16', '45-16=29']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,56 unequal: No Solution
No 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: 56:[2, 61], Operations: ['99-83=16', '45+16=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,56 unequal: No Solution
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,56 unequal: No Solution
No 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: 56:[45, 14], Operations: ['99-83=16', '16-2=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,56 unequal: No Solution
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,56 unequal: No Solution
No 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: 56:[45, 8], Operations: ['99-83=16', '16/2=8']
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,56 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,56 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,56 unequal: No Solution
No 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: 56:[16, 47], Operations: ['99-83=16', '2+45=47']
Exploring Operation: 16+47=63, Resulting Numbers: [63]
63,56 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 16*47=752, Resulting Numbers: [752]
752,56 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: 56:[2, 83, 54], Operations: ['99-45=54']
Exploring Operation: 83-2=81, Resulting Numbers: [54, 81]
Generated Node #0,2,0: 56:[54, 81] Operation: 83-2=81
Exploring Operation: 54/2=27, Resulting Numbers: [83, 27]
Generated Node #0,2,1: 56:[83, 27] Operation: 54/2=27
Exploring Operation: 83-54=29, Resulting Numbers: [2, 29]
Generated Node #0,2,2: 56:[2, 29] Operation: 83-54=29
Exploring Operation: 2+83=85, Resulting Numbers: [54, 85]
Generated Node #0,2,3: 56:[54, 85] Operation: 2+83=85
Exploring Operation: 2+54=56, Resulting Numbers: [83, 56]
Generated Node #0,2,4: 56:[83, 56] Operation: 2+54=56
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[2, 29], Operations: ['99-45=54', '83-54=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,56 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,56 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,56 unequal: No Solution
No 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: 56:[54, 81], Operations: ['99-45=54', '83-2=81']
Exploring Operation: 54+81=135, Resulting Numbers: [135]
135,56 unequal: No Solution
Exploring Operation: 81-54=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 54*81=4374, Resulting Numbers: [4374]
4374,56 unequal: No Solution
No 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: 56:[83, 56], Operations: ['99-45=54', '2+54=56']
Exploring Operation: 83+56=139, Resulting Numbers: [139]
139,56 unequal: No Solution
Exploring Operation: 83*56=4648, Resulting Numbers: [4648]
4648,56 unequal: No Solution
Exploring Operation: 83-56=27, Resulting Numbers: [27]
27,56 unequal: No Solution
No 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: 56:[83, 27], Operations: ['99-45=54', '54/2=27']
Exploring Operation: 83+27=110, Resulting Numbers: [110]
110,56 unequal: No Solution
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[2, 83, 99, 45], Operations: []
Exploring Operation: 99-45=54, Resulting Numbers: [2, 83, 54]
Generated Node #0,2: 56:[2, 83, 54] Operation: 99-45=54
Moving to Node #0,2
Current State: 56:[2, 83, 54], Operations: ['99-45=54']
Exploring Operation: 54/2=27, Resulting Numbers: [83, 27]
Generated Node #0,2,1: 56:[83, 27] Operation: 54/2=27
Moving to Node #0,2,1
Current State: 56:[83, 27], Operations: ['99-45=54', '54/2=27']
Exploring Operation: 83-27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
72,
76,
2,
56
] | 95 | [
"72-2=70",
"76*70=5320",
"5320/56=95"
] | Current State: 95:[72, 76, 2, 56], Operations: []
Exploring Operation: 72-2=70, Resulting Numbers: [76, 56, 70]
Generated Node #2: [76, 56, 70] from Operation: 72-2=70
Current State: 95:[76, 56, 70], Operations: ['72-2=70']
Exploring Operation: 76*70=5320, Resulting Numbers: [56, 5320]
Generated Node #3: [56, 5320] from Operation: 76*70=5320
Current State: 95:[56, 5320], Operations: ['72-2=70', '76*70=5320']
Exploring Operation: 5320/56=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[72, 76, 2, 56], Operations: []
Exploring Operation: 72-56=16, Resulting Numbers: [76, 2, 16]
Generated Node #0,0: 95:[76, 2, 16] Operation: 72-56=16
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[76, 2, 16], Operations: ['72-56=16']
Exploring Operation: 76+16=92, Resulting Numbers: [2, 92]
Generated Node #0,0,0: 95:[2, 92] Operation: 76+16=92
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[2, 92], Operations: ['72-56=16', '76+16=92']
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,95 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_1 | mult_heuristic |
[
12,
51,
96,
84
] | 93 | [
"96-84=12",
"12*12=144",
"144-51=93"
] | Current State: 93:[12, 51, 96, 84], Operations: []
Exploring Operation: 96-84=12, Resulting Numbers: [12, 51, 12]
Generated Node #2: [12, 51, 12] from Operation: 96-84=12
Current State: 93:[12, 51, 12], Operations: ['96-84=12']
Exploring Operation: 12*12=144, Resulting Numbers: [51, 144]
Generated Node #3: [51, 144] from Operation: 12*12=144
Current State: 93:[51, 144], Operations: ['96-84=12', '12*12=144']
Exploring Operation: 144-51=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[12, 51, 96, 84], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [96, 84, 39]
Generated Node #0,0: 93:[96, 84, 39] Operation: 51-12=39
Exploring Operation: 12+84=96, Resulting Numbers: [51, 96, 96]
Generated Node #0,1: 93:[51, 96, 96] Operation: 12+84=96
Exploring Operation: 84-51=33, Resulting Numbers: [12, 96, 33]
Generated Node #0,2: 93:[12, 96, 33] Operation: 84-51=33
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[12, 96, 33], Operations: ['84-51=33']
Exploring Operation: 33-12=21, Resulting Numbers: [96, 21]
Generated Node #0,2,0: 93:[96, 21] Operation: 33-12=21
Exploring Operation: 96-12=84, Resulting Numbers: [33, 84]
Generated Node #0,2,1: 93:[33, 84] Operation: 96-12=84
Exploring Operation: 96/12=8, Resulting Numbers: [33, 8]
Generated Node #0,2,2: 93:[33, 8] Operation: 96/12=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 93:[33, 8], Operations: ['84-51=33', '96/12=8']
Exploring Operation: 33+8=41, Resulting Numbers: [41]
41,93 unequal: No Solution
Exploring Operation: 33*8=264, Resulting Numbers: [264]
264,93 unequal: No Solution
Exploring Operation: 33-8=25, Resulting Numbers: [25]
25,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[33, 84], Operations: ['84-51=33', '96-12=84']
Exploring Operation: 33*84=2772, Resulting Numbers: [2772]
2772,93 unequal: No Solution
Exploring Operation: 84-33=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Exploring Operation: 33+84=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 93:[96, 21], Operations: ['84-51=33', '33-12=21']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,93 unequal: No Solution
Exploring Operation: 96*21=2016, Resulting Numbers: [2016]
2016,93 unequal: No Solution
Exploring Operation: 96+21=117, Resulting Numbers: [117]
117,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[96, 84, 39], Operations: ['51-12=39']
Exploring Operation: 84+39=123, Resulting Numbers: [96, 123]
Generated Node #0,0,0: 93:[96, 123] Operation: 84+39=123
Exploring Operation: 96-84=12, Resulting Numbers: [39, 12]
Generated Node #0,0,1: 93:[39, 12] Operation: 96-84=12
Exploring Operation: 84-39=45, Resulting Numbers: [96, 45]
Generated Node #0,0,2: 93:[96, 45] Operation: 84-39=45
Moving to Node #0,0,1
Current State: 93:[39, 12], Operations: ['51-12=39', '96-84=12']
Exploring Operation: 39*12=468, Resulting Numbers: [468]
468,93 unequal: No Solution
Exploring Operation: 39-12=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 39+12=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[96, 45], Operations: ['51-12=39', '84-39=45']
Exploring Operation: 96+45=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Exploring Operation: 96*45=4320, Resulting Numbers: [4320]
4320,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[96, 123], Operations: ['51-12=39', '84+39=123']
Exploring Operation: 123-96=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 96*123=11808, Resulting Numbers: [11808]
11808,93 unequal: No Solution
Exploring Operation: 96+123=219, Resulting Numbers: [219]
219,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[51, 96, 96], Operations: ['12+84=96']
Exploring Operation: 96-51=45, Resulting Numbers: [96, 45]
Generated Node #0,1,0: 93:[96, 45] Operation: 96-51=45
Exploring Operation: 96/96=1, Resulting Numbers: [51, 1]
Generated Node #0,1,1: 93:[51, 1] Operation: 96/96=1
Exploring Operation: 96-51=45, Resulting Numbers: [96, 45]
Generated Node #0,1,2: 93:[96, 45] Operation: 96-51=45
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[96, 45], Operations: ['12+84=96', '96-51=45']
Exploring Operation: 96+45=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 96*45=4320, Resulting Numbers: [4320]
4320,93 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[96, 45], Operations: ['12+84=96', '96-51=45']
Exploring Operation: 96+45=141, Resulting Numbers: [141]
141,93 unequal: No Solution
Exploring Operation: 96*45=4320, Resulting Numbers: [4320]
4320,93 unequal: No Solution
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[51, 1], Operations: ['12+84=96', '96/96=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
7,
43,
24,
71
] | 45 | [
"7+43=50",
"24+71=95",
"95-50=45"
] | Current State: 45:[7, 43, 24, 71], Operations: []
Exploring Operation: 7+43=50, Resulting Numbers: [24, 71, 50]
Generated Node #2: [24, 71, 50] from Operation: 7+43=50
Current State: 45:[24, 71, 50], Operations: ['7+43=50']
Exploring Operation: 24+71=95, Resulting Numbers: [50, 95]
Generated Node #3: [50, 95] from Operation: 24+71=95
Current State: 45:[50, 95], Operations: ['7+43=50', '24+71=95']
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[7, 43, 24, 71], Operations: []
Exploring Operation: 71-7=64, Resulting Numbers: [43, 24, 64]
Generated Node #0,0: 45:[43, 24, 64] Operation: 71-7=64
Exploring Operation: 71-43=28, Resulting Numbers: [7, 24, 28]
Generated Node #0,1: 45:[7, 24, 28] Operation: 71-43=28
Exploring Operation: 71-24=47, Resulting Numbers: [7, 43, 47]
Generated Node #0,2: 45:[7, 43, 47] Operation: 71-24=47
Exploring Operation: 43-24=19, Resulting Numbers: [7, 71, 19]
Generated Node #0,3: 45:[7, 71, 19] Operation: 43-24=19
Exploring Operation: 24-7=17, Resulting Numbers: [43, 71, 17]
Generated Node #0,4: 45:[43, 71, 17] Operation: 24-7=17
Moving to Node #0,2
Current State: 45:[7, 43, 47], Operations: ['71-24=47']
Exploring Operation: 43-7=36, Resulting Numbers: [47, 36]
Generated Node #0,2,0: 45:[47, 36] Operation: 43-7=36
Exploring Operation: 7+43=50, Resulting Numbers: [47, 50]
Generated Node #0,2,1: 45:[47, 50] Operation: 7+43=50
Exploring Operation: 47-7=40, Resulting Numbers: [43, 40]
Generated Node #0,2,2: 45:[43, 40] Operation: 47-7=40
Exploring Operation: 7+47=54, Resulting Numbers: [43, 54]
Generated Node #0,2,3: 45:[43, 54] Operation: 7+47=54
Exploring Operation: 47-43=4, Resulting Numbers: [7, 4]
Generated Node #0,2,4: 45:[7, 4] Operation: 47-43=4
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 45:[7, 4], Operations: ['71-24=47', '47-43=4']
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[47, 50], Operations: ['71-24=47', '7+43=50']
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,45 unequal: No Solution
Exploring Operation: 47*50=2350, Resulting Numbers: [2350]
2350,45 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[43, 40], Operations: ['71-24=47', '47-7=40']
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,45 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[47, 36], Operations: ['71-24=47', '43-7=36']
Exploring Operation: 47*36=1692, Resulting Numbers: [1692]
1692,45 unequal: No Solution
Exploring Operation: 47+36=83, Resulting Numbers: [83]
83,45 unequal: No Solution
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 45:[43, 54], Operations: ['71-24=47', '7+47=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,45 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,45 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: 45:[7, 24, 28], Operations: ['71-43=28']
Exploring Operation: 24+28=52, Resulting Numbers: [7, 52]
Generated Node #0,1,0: 45:[7, 52] Operation: 24+28=52
Exploring Operation: 28-7=21, Resulting Numbers: [24, 21]
Generated Node #0,1,1: 45:[24, 21] Operation: 28-7=21
Exploring Operation: 28/7=4, Resulting Numbers: [24, 4]
Generated Node #0,1,2: 45:[24, 4] Operation: 28/7=4
Exploring Operation: 24-7=17, Resulting Numbers: [28, 17]
Generated Node #0,1,3: 45:[28, 17] Operation: 24-7=17
Exploring Operation: 28-24=4, Resulting Numbers: [7, 4]
Generated Node #0,1,4: 45:[7, 4] Operation: 28-24=4
Moving to Node #0,0
Current State: 45:[43, 24, 64], Operations: ['71-7=64']
Exploring Operation: 64-43=21, Resulting Numbers: [24, 21]
Generated Node #0,0,0: 45:[24, 21] Operation: 64-43=21
Exploring Operation: 64-24=40, Resulting Numbers: [43, 40]
Generated Node #0,0,1: 45:[43, 40] Operation: 64-24=40
Exploring Operation: 43-24=19, Resulting Numbers: [64, 19]
Generated Node #0,0,2: 45:[64, 19] Operation: 43-24=19
Exploring Operation: 43+24=67, Resulting Numbers: [64, 67]
Generated Node #0,0,3: 45:[64, 67] Operation: 43+24=67
Exploring Operation: 24+64=88, Resulting Numbers: [43, 88]
Generated Node #0,0,4: 45:[43, 88] Operation: 24+64=88
Moving to Node #0,4
Current State: 45:[43, 71, 17], Operations: ['24-7=17']
Exploring Operation: 43-17=26, Resulting Numbers: [71, 26]
Generated Node #0,4,0: 45:[71, 26] Operation: 43-17=26
Exploring Operation: 71-17=54, Resulting Numbers: [43, 54]
Generated Node #0,4,1: 45:[43, 54] Operation: 71-17=54
Exploring Operation: 43+17=60, Resulting Numbers: [71, 60]
Generated Node #0,4,2: 45:[71, 60] Operation: 43+17=60
Exploring Operation: 71+17=88, Resulting Numbers: [43, 88]
Generated Node #0,4,3: 45:[43, 88] Operation: 71+17=88
Exploring Operation: 71-43=28, Resulting Numbers: [17, 28]
Generated Node #0,4,4: 45:[17, 28] Operation: 71-43=28
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 45:[43, 54], Operations: ['24-7=17', '71-17=54']
Exploring Operation: 54-43=11, Resulting Numbers: [11]
11,45 unequal: No Solution
Exploring Operation: 43*54=2322, Resulting Numbers: [2322]
2322,45 unequal: No Solution
Exploring Operation: 43+54=97, Resulting Numbers: [97]
97,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 45:[17, 28], Operations: ['24-7=17', '71-43=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[7, 43, 24, 71], Operations: []
Exploring Operation: 24-7=17, Resulting Numbers: [43, 71, 17]
Generated Node #0,4: 45:[43, 71, 17] Operation: 24-7=17
Moving to Node #0,4
Current State: 45:[43, 71, 17], Operations: ['24-7=17']
Exploring Operation: 71-43=28, Resulting Numbers: [17, 28]
Generated Node #0,4,4: 45:[17, 28] Operation: 71-43=28
Moving to Node #0,4,4
Current State: 45:[17, 28], Operations: ['24-7=17', '71-43=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.958333 | hs_5 | sum_heuristic |
[
56,
24,
26,
15
] | 82 | [
"56-15=41",
"26-24=2",
"41*2=82"
] | Current State: 82:[56, 24, 26, 15], Operations: []
Exploring Operation: 56-15=41, Resulting Numbers: [24, 26, 41]
Generated Node #2: [24, 26, 41] from Operation: 56-15=41
Current State: 82:[24, 26, 41], Operations: ['56-15=41']
Exploring Operation: 26-24=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 26-24=2
Current State: 82:[41, 2], Operations: ['56-15=41', '26-24=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[56, 24, 26, 15], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [56, 15, 2]
Generated Node #0,0: 82:[56, 15, 2] Operation: 26-24=2
Exploring Operation: 56-15=41, Resulting Numbers: [24, 26, 41]
Generated Node #0,1: 82:[24, 26, 41] Operation: 56-15=41
Exploring Operation: 56+24=80, Resulting Numbers: [26, 15, 80]
Generated Node #0,2: 82:[26, 15, 80] Operation: 56+24=80
Exploring Operation: 56+26=82, Resulting Numbers: [24, 15, 82]
Generated Node #0,3: 82:[24, 15, 82] Operation: 56+26=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[56, 15, 2], Operations: ['26-24=2']
Exploring Operation: 56+15=71, Resulting Numbers: [2, 71]
Generated Node #0,0,0: 82:[2, 71] Operation: 56+15=71
Exploring Operation: 56-15=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 82:[2, 41] Operation: 56-15=41
Exploring Operation: 56-2=54, Resulting Numbers: [15, 54]
Generated Node #0,0,2: 82:[15, 54] Operation: 56-2=54
Exploring Operation: 56/2=28, Resulting Numbers: [15, 28]
Generated Node #0,0,3: 82:[15, 28] Operation: 56/2=28
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 82:[2, 41], Operations: ['26-24=2', '56-15=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[56, 24, 26, 15], Operations: []
Exploring Operation: 26-24=2, Resulting Numbers: [56, 15, 2]
Generated Node #0,0: 82:[56, 15, 2] Operation: 26-24=2
Moving to Node #0,0
Current State: 82:[56, 15, 2], Operations: ['26-24=2']
Exploring Operation: 56-15=41, Resulting Numbers: [2, 41]
Generated Node #0,0,1: 82:[2, 41] Operation: 56-15=41
Moving to Node #0,0,1
Current State: 82:[2, 41], Operations: ['26-24=2', '56-15=41']
Exploring Operation: 2*41=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
57,
25,
19,
50
] | 74 | [
"57+19=76",
"50/25=2",
"76-2=74"
] | Current State: 74:[57, 25, 19, 50], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [25, 50, 76]
Generated Node #2: [25, 50, 76] from Operation: 57+19=76
Current State: 74:[25, 50, 76], Operations: ['57+19=76']
Exploring Operation: 50/25=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 50/25=2
Current State: 74:[76, 2], Operations: ['57+19=76', '50/25=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[57, 25, 19, 50], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [25, 19, 7]
Generated Node #0,0: 74:[25, 19, 7] Operation: 57-50=7
Exploring Operation: 57/19=3, Resulting Numbers: [25, 50, 3]
Generated Node #0,1: 74:[25, 50, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [25, 50, 38]
Generated Node #0,2: 74:[25, 50, 38] Operation: 57-19=38
Exploring Operation: 25-19=6, Resulting Numbers: [57, 50, 6]
Generated Node #0,3: 74:[57, 50, 6] Operation: 25-19=6
Exploring Operation: 57+19=76, Resulting Numbers: [25, 50, 76]
Generated Node #0,4: 74:[25, 50, 76] Operation: 57+19=76
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[25, 50, 3], Operations: ['57/19=3']
Exploring Operation: 25*3=75, Resulting Numbers: [50, 75]
Generated Node #0,1,0: 74:[50, 75] Operation: 25*3=75
Exploring Operation: 25+50=75, Resulting Numbers: [3, 75]
Generated Node #0,1,1: 74:[3, 75] Operation: 25+50=75
Exploring Operation: 50/25=2, Resulting Numbers: [3, 2]
Generated Node #0,1,2: 74:[3, 2] Operation: 50/25=2
Exploring Operation: 50-25=25, Resulting Numbers: [3, 25]
Generated Node #0,1,3: 74:[3, 25] Operation: 50-25=25
Exploring Operation: 25+3=28, Resulting Numbers: [50, 28]
Generated Node #0,1,4: 74:[50, 28] Operation: 25+3=28
Moving to Node #0,1,2
Current State: 74:[3, 2], Operations: ['57/19=3', '50/25=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,74 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[3, 75], Operations: ['57/19=3', '25+50=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 75-3=72, Resulting Numbers: [72]
72,74 unequal: No Solution
Exploring Operation: 3*75=225, Resulting Numbers: [225]
225,74 unequal: No Solution
Exploring Operation: 3+75=78, Resulting Numbers: [78]
78,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[3, 25], Operations: ['57/19=3', '50-25=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[50, 75], Operations: ['57/19=3', '25*3=75']
Exploring Operation: 50+75=125, Resulting Numbers: [125]
125,74 unequal: No Solution
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,74 unequal: No Solution
Exploring Operation: 50*75=3750, Resulting Numbers: [3750]
3750,74 unequal: No Solution
Moving to Node #0,1,4
Current State: 74:[50, 28], Operations: ['57/19=3', '25+3=28']
Exploring Operation: 50*28=1400, Resulting Numbers: [1400]
1400,74 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,74 unequal: No Solution
Exploring Operation: 50+28=78, Resulting Numbers: [78]
78,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 74:[25, 50, 38], Operations: ['57-19=38']
Exploring Operation: 50/25=2, Resulting Numbers: [38, 2]
Generated Node #0,2,0: 74:[38, 2] Operation: 50/25=2
Exploring Operation: 50-38=12, Resulting Numbers: [25, 12]
Generated Node #0,2,1: 74:[25, 12] Operation: 50-38=12
Exploring Operation: 50-25=25, Resulting Numbers: [38, 25]
Generated Node #0,2,2: 74:[38, 25] Operation: 50-25=25
Exploring Operation: 25+38=63, Resulting Numbers: [50, 63]
Generated Node #0,2,3: 74:[50, 63] Operation: 25+38=63
Exploring Operation: 25+50=75, Resulting Numbers: [38, 75]
Generated Node #0,2,4: 74:[38, 75] Operation: 25+50=75
Moving to Node #0,2,0
Current State: 74:[38, 2], Operations: ['57-19=38', '50/25=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,74 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,74 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Moving to Node #0,2,4
Current State: 74:[38, 75], Operations: ['57-19=38', '25+50=75']
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,74 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[38, 25], Operations: ['57-19=38', '50-25=25']
Exploring Operation: 38*25=950, Resulting Numbers: [950]
950,74 unequal: No Solution
Exploring Operation: 38+25=63, Resulting Numbers: [63]
63,74 unequal: No Solution
Exploring Operation: 38-25=13, Resulting Numbers: [13]
13,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[25, 12], Operations: ['57-19=38', '50-38=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,74 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[50, 63], Operations: ['57-19=38', '25+38=63']
Exploring Operation: 50*63=3150, Resulting Numbers: [3150]
3150,74 unequal: No Solution
Exploring Operation: 50+63=113, Resulting Numbers: [113]
113,74 unequal: No Solution
Exploring Operation: 63-50=13, Resulting Numbers: [13]
13,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 74:[25, 50, 76], Operations: ['57+19=76']
Exploring Operation: 76-25=51, Resulting Numbers: [50, 51]
Generated Node #0,4,0: 74:[50, 51] Operation: 76-25=51
Exploring Operation: 50-25=25, Resulting Numbers: [76, 25]
Generated Node #0,4,1: 74:[76, 25] Operation: 50-25=25
Exploring Operation: 76-50=26, Resulting Numbers: [25, 26]
Generated Node #0,4,2: 74:[25, 26] Operation: 76-50=26
Exploring Operation: 50/25=2, Resulting Numbers: [76, 2]
Generated Node #0,4,3: 74:[76, 2] Operation: 50/25=2
Exploring Operation: 25+50=75, Resulting Numbers: [76, 75]
Generated Node #0,4,4: 74:[76, 75] Operation: 25+50=75
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 74:[76, 2], Operations: ['57+19=76', '50/25=2']
Exploring Operation: 76*2=152, Resulting Numbers: [152]
152,74 unequal: No Solution
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[57, 25, 19, 50], Operations: []
Exploring Operation: 57+19=76, Resulting Numbers: [25, 50, 76]
Generated Node #0,4: 74:[25, 50, 76] Operation: 57+19=76
Moving to Node #0,4
Current State: 74:[25, 50, 76], Operations: ['57+19=76']
Exploring Operation: 50/25=2, Resulting Numbers: [76, 2]
Generated Node #0,4,3: 74:[76, 2] Operation: 50/25=2
Moving to Node #0,4,3
Current State: 74:[76, 2], Operations: ['57+19=76', '50/25=2']
Exploring Operation: 76-2=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.949653 | hs_5 | sum_heuristic |
[
13,
71,
11,
42
] | 13 | [
"13+71=84",
"84/42=2",
"11+2=13"
] | Current State: 13:[13, 71, 11, 42], Operations: []
Exploring Operation: 13+71=84, Resulting Numbers: [11, 42, 84]
Generated Node #2: [11, 42, 84] from Operation: 13+71=84
Current State: 13:[11, 42, 84], Operations: ['13+71=84']
Exploring Operation: 84/42=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 84/42=2
Current State: 13:[11, 2], Operations: ['13+71=84', '84/42=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[13, 71, 11, 42], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [13, 11, 29]
Generated Node #0,0: 13:[13, 11, 29] Operation: 71-42=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[13, 11, 29], Operations: ['71-42=29']
Exploring Operation: 29-13=16, Resulting Numbers: [11, 16]
Generated Node #0,0,0: 13:[11, 16] Operation: 29-13=16
Moving to Node #0,0,0
Current State: 13:[11, 16], Operations: ['71-42=29', '29-13=16']
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,13 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 |
[
73,
63,
78,
19
] | 87 | [
"73-63=10",
"78+19=97",
"97-10=87"
] | Current State: 87:[73, 63, 78, 19], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [78, 19, 10]
Generated Node #2: [78, 19, 10] from Operation: 73-63=10
Current State: 87:[78, 19, 10], Operations: ['73-63=10']
Exploring Operation: 78+19=97, Resulting Numbers: [10, 97]
Generated Node #3: [10, 97] from Operation: 78+19=97
Current State: 87:[10, 97], Operations: ['73-63=10', '78+19=97']
Exploring Operation: 97-10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[73, 63, 78, 19], Operations: []
Exploring Operation: 78-63=15, Resulting Numbers: [73, 19, 15]
Generated Node #0,0: 87:[73, 19, 15] Operation: 78-63=15
Exploring Operation: 73-63=10, Resulting Numbers: [78, 19, 10]
Generated Node #0,1: 87:[78, 19, 10] Operation: 73-63=10
Exploring Operation: 63+19=82, Resulting Numbers: [73, 78, 82]
Generated Node #0,2: 87:[73, 78, 82] Operation: 63+19=82
Exploring Operation: 78-73=5, Resulting Numbers: [63, 19, 5]
Generated Node #0,3: 87:[63, 19, 5] Operation: 78-73=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[78, 19, 10], Operations: ['73-63=10']
Exploring Operation: 78+19=97, Resulting Numbers: [10, 97]
Generated Node #0,1,0: 87:[10, 97] Operation: 78+19=97
Exploring Operation: 19+10=29, Resulting Numbers: [78, 29]
Generated Node #0,1,1: 87:[78, 29] Operation: 19+10=29
Exploring Operation: 78+10=88, Resulting Numbers: [19, 88]
Generated Node #0,1,2: 87:[19, 88] Operation: 78+10=88
Exploring Operation: 19-10=9, Resulting Numbers: [78, 9]
Generated Node #0,1,3: 87:[78, 9] Operation: 19-10=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[78, 29], Operations: ['73-63=10', '19+10=29']
Exploring Operation: 78-29=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 78+29=107, Resulting Numbers: [107]
107,87 unequal: No Solution
Exploring Operation: 78*29=2262, Resulting Numbers: [2262]
2262,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[19, 88], Operations: ['73-63=10', '78+10=88']
Exploring Operation: 88-19=69, Resulting Numbers: [69]
69,87 unequal: No Solution
Exploring Operation: 19+88=107, Resulting Numbers: [107]
107,87 unequal: No Solution
Exploring Operation: 19*88=1672, Resulting Numbers: [1672]
1672,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[78, 9], Operations: ['73-63=10', '19-10=9']
Exploring Operation: 78*9=702, Resulting Numbers: [702]
702,87 unequal: No Solution
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[73, 63, 78, 19], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [78, 19, 10]
Generated Node #0,1: 87:[78, 19, 10] Operation: 73-63=10
Moving to Node #0,1
Current State: 87:[78, 19, 10], Operations: ['73-63=10']
Exploring Operation: 19-10=9, Resulting Numbers: [78, 9]
Generated Node #0,1,3: 87:[78, 9] Operation: 19-10=9
Moving to Node #0,1,3
Current State: 87:[78, 9], Operations: ['73-63=10', '19-10=9']
Exploring Operation: 78+9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
78,
3,
48,
52
] | 25 | [
"78-3=75",
"48+52=100",
"100-75=25"
] | Current State: 25:[78, 3, 48, 52], Operations: []
Exploring Operation: 78-3=75, Resulting Numbers: [48, 52, 75]
Generated Node #2: [48, 52, 75] from Operation: 78-3=75
Current State: 25:[48, 52, 75], Operations: ['78-3=75']
Exploring Operation: 48+52=100, Resulting Numbers: [75, 100]
Generated Node #3: [75, 100] from Operation: 48+52=100
Current State: 25:[75, 100], Operations: ['78-3=75', '48+52=100']
Exploring Operation: 100-75=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[78, 3, 48, 52], Operations: []
Exploring Operation: 78-48=30, Resulting Numbers: [3, 52, 30]
Generated Node #0,0: 25:[3, 52, 30] Operation: 78-48=30
Exploring Operation: 78/3=26, Resulting Numbers: [48, 52, 26]
Generated Node #0,1: 25:[48, 52, 26] Operation: 78/3=26
Exploring Operation: 52-48=4, Resulting Numbers: [78, 3, 4]
Generated Node #0,2: 25:[78, 3, 4] Operation: 52-48=4
Exploring Operation: 78-52=26, Resulting Numbers: [3, 48, 26]
Generated Node #0,3: 25:[3, 48, 26] Operation: 78-52=26
Moving to Node #0,3
Current State: 25:[3, 48, 26], Operations: ['78-52=26']
Exploring Operation: 48-3=45, Resulting Numbers: [26, 45]
Generated Node #0,3,0: 25:[26, 45] Operation: 48-3=45
Exploring Operation: 48-26=22, Resulting Numbers: [3, 22]
Generated Node #0,3,1: 25:[3, 22] Operation: 48-26=22
Exploring Operation: 48/3=16, Resulting Numbers: [26, 16]
Generated Node #0,3,2: 25:[26, 16] Operation: 48/3=16
Exploring Operation: 26-3=23, Resulting Numbers: [48, 23]
Generated Node #0,3,3: 25:[48, 23] Operation: 26-3=23
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[3, 22], Operations: ['78-52=26', '48-26=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[78, 3, 48, 52], Operations: []
Exploring Operation: 78-52=26, Resulting Numbers: [3, 48, 26]
Generated Node #0,3: 25:[3, 48, 26] Operation: 78-52=26
Moving to Node #0,3
Current State: 25:[3, 48, 26], Operations: ['78-52=26']
Exploring Operation: 48-26=22, Resulting Numbers: [3, 22]
Generated Node #0,3,1: 25:[3, 22] Operation: 48-26=22
Moving to Node #0,3,1
Current State: 25:[3, 22], Operations: ['78-52=26', '48-26=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
94,
92,
9,
97
] | 11 | [
"94-92=2",
"97+2=99",
"99/9=11"
] | Current State: 11:[94, 92, 9, 97], Operations: []
Exploring Operation: 94-92=2, Resulting Numbers: [9, 97, 2]
Generated Node #2: [9, 97, 2] from Operation: 94-92=2
Current State: 11:[9, 97, 2], Operations: ['94-92=2']
Exploring Operation: 97+2=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 97+2=99
Current State: 11:[9, 99], Operations: ['94-92=2', '97+2=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[94, 92, 9, 97], Operations: []
Exploring Operation: 97-92=5, Resulting Numbers: [94, 9, 5]
Generated Node #0,0: 11:[94, 9, 5] Operation: 97-92=5
Exploring Operation: 97-94=3, Resulting Numbers: [92, 9, 3]
Generated Node #0,1: 11:[92, 9, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 11:[94, 9, 5], Operations: ['97-92=5']
Exploring Operation: 94-9=85, Resulting Numbers: [5, 85]
Generated Node #0,0,0: 11:[5, 85] Operation: 94-9=85
Exploring Operation: 94-5=89, Resulting Numbers: [9, 89]
Generated Node #0,0,1: 11:[9, 89] Operation: 94-5=89
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[5, 85], Operations: ['97-92=5', '94-9=85']
Exploring Operation: 85-5=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 85/5=17, Resulting Numbers: [17]
17,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[9, 89], Operations: ['97-92=5', '94-5=89']
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,11 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: 11:[92, 9, 3], Operations: ['97-94=3']
Exploring Operation: 92-3=89, Resulting Numbers: [9, 89]
Generated Node #0,1,0: 11:[9, 89] Operation: 92-3=89
Exploring Operation: 92-9=83, Resulting Numbers: [3, 83]
Generated Node #0,1,1: 11:[3, 83] Operation: 92-9=83
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[9, 89], Operations: ['97-94=3', '92-3=89']
Exploring Operation: 9+89=98, Resulting Numbers: [98]
98,11 unequal: No Solution
Exploring Operation: 89-9=80, Resulting Numbers: [80]
80,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[3, 83], Operations: ['97-94=3', '92-9=83']
Exploring Operation: 3+83=86, Resulting Numbers: [86]
86,11 unequal: No Solution
Exploring Operation: 83-3=80, Resulting Numbers: [80]
80,11 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 |
[
58,
43,
11,
56
] | 65 | [
"58-56=2",
"11*2=22",
"43+22=65"
] | Current State: 65:[58, 43, 11, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [43, 11, 2]
Generated Node #2: [43, 11, 2] from Operation: 58-56=2
Current State: 65:[43, 11, 2], Operations: ['58-56=2']
Exploring Operation: 11*2=22, Resulting Numbers: [43, 22]
Generated Node #3: [43, 22] from Operation: 11*2=22
Current State: 65:[43, 22], Operations: ['58-56=2', '11*2=22']
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[58, 43, 11, 56], Operations: []
Exploring Operation: 58-56=2, Resulting Numbers: [43, 11, 2]
Generated Node #0,0: 65:[43, 11, 2] Operation: 58-56=2
Exploring Operation: 11+56=67, Resulting Numbers: [58, 43, 67]
Generated Node #0,1: 65:[58, 43, 67] Operation: 11+56=67
Exploring Operation: 43+11=54, Resulting Numbers: [58, 56, 54]
Generated Node #0,2: 65:[58, 56, 54] Operation: 43+11=54
Exploring Operation: 58-43=15, Resulting Numbers: [11, 56, 15]
Generated Node #0,3: 65:[11, 56, 15] Operation: 58-43=15
Exploring Operation: 56-43=13, Resulting Numbers: [58, 11, 13]
Generated Node #0,4: 65:[58, 11, 13] Operation: 56-43=13
Moving to Node #0,4
Current State: 65:[58, 11, 13], Operations: ['56-43=13']
Exploring Operation: 11+13=24, Resulting Numbers: [58, 24]
Generated Node #0,4,0: 65:[58, 24] Operation: 11+13=24
Exploring Operation: 58+11=69, Resulting Numbers: [13, 69]
Generated Node #0,4,1: 65:[13, 69] Operation: 58+11=69
Exploring Operation: 58-11=47, Resulting Numbers: [13, 47]
Generated Node #0,4,2: 65:[13, 47] Operation: 58-11=47
Exploring Operation: 13-11=2, Resulting Numbers: [58, 2]
Generated Node #0,4,3: 65:[58, 2] Operation: 13-11=2
Exploring Operation: 58+13=71, Resulting Numbers: [11, 71]
Generated Node #0,4,4: 65:[11, 71] Operation: 58+13=71
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 65:[13, 69], Operations: ['56-43=13', '58+11=69']
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,65 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 65:[11, 71], Operations: ['56-43=13', '58+13=71']
Exploring Operation: 11*71=781, Resulting Numbers: [781]
781,65 unequal: No Solution
Exploring Operation: 11+71=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 65:[58, 2], Operations: ['56-43=13', '13-11=2']
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,65 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 65:[58, 24], Operations: ['56-43=13', '11+13=24']
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 65:[13, 47], Operations: ['56-43=13', '58-11=47']
Exploring Operation: 13+47=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 13*47=611, Resulting Numbers: [611]
611,65 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: 65:[11, 56, 15], Operations: ['58-43=15']
Exploring Operation: 56+15=71, Resulting Numbers: [11, 71]
Generated Node #0,3,0: 65:[11, 71] Operation: 56+15=71
Exploring Operation: 56-11=45, Resulting Numbers: [15, 45]
Generated Node #0,3,1: 65:[15, 45] Operation: 56-11=45
Exploring Operation: 11+15=26, Resulting Numbers: [56, 26]
Generated Node #0,3,2: 65:[56, 26] Operation: 11+15=26
Exploring Operation: 15-11=4, Resulting Numbers: [56, 4]
Generated Node #0,3,3: 65:[56, 4] Operation: 15-11=4
Exploring Operation: 11+56=67, Resulting Numbers: [15, 67]
Generated Node #0,3,4: 65:[15, 67] Operation: 11+56=67
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 65:[15, 67], Operations: ['58-43=15', '11+56=67']
Exploring Operation: 15+67=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 15*67=1005, Resulting Numbers: [1005]
1005,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 65:[11, 71], Operations: ['58-43=15', '56+15=71']
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 11+71=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 11*71=781, Resulting Numbers: [781]
781,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 65:[56, 4], Operations: ['58-43=15', '15-11=4']
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,65 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 65:[15, 45], Operations: ['58-43=15', '56-11=45']
Exploring Operation: 15+45=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 45/15=3, Resulting Numbers: [3]
3,65 unequal: No Solution
Exploring Operation: 15*45=675, Resulting Numbers: [675]
675,65 unequal: No Solution
Exploring Operation: 45-15=30, Resulting Numbers: [30]
30,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 65:[56, 26], Operations: ['58-43=15', '11+15=26']
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,65 unequal: No Solution
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,65 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: 65:[43, 11, 2], Operations: ['58-56=2']
Exploring Operation: 43-11=32, Resulting Numbers: [2, 32]
Generated Node #0,0,0: 65:[2, 32] Operation: 43-11=32
Exploring Operation: 43+2=45, Resulting Numbers: [11, 45]
Generated Node #0,0,1: 65:[11, 45] Operation: 43+2=45
Exploring Operation: 43*2=86, Resulting Numbers: [11, 86]
Generated Node #0,0,2: 65:[11, 86] Operation: 43*2=86
Exploring Operation: 11+2=13, Resulting Numbers: [43, 13]
Generated Node #0,0,3: 65:[43, 13] Operation: 11+2=13
Exploring Operation: 43+11=54, Resulting Numbers: [2, 54]
Generated Node #0,0,4: 65:[2, 54] Operation: 43+11=54
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 65:[2, 54], Operations: ['58-56=2', '43+11=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 2*54=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 65:[2, 32], Operations: ['58-56=2', '43-11=32']
Exploring Operation: 2*32=64, Resulting Numbers: [64]
64,65 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,65 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 65:[11, 45], Operations: ['58-56=2', '43+2=45']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,65 unequal: No Solution
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 65:[43, 13], Operations: ['58-56=2', '11+2=13']
Exploring Operation: 43+13=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 43*13=559, Resulting Numbers: [559]
559,65 unequal: No Solution
Exploring Operation: 43-13=30, Resulting Numbers: [30]
30,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 65:[11, 86], Operations: ['58-56=2', '43*2=86']
Exploring Operation: 86-11=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 11*86=946, Resulting Numbers: [946]
946,65 unequal: No Solution
Exploring Operation: 11+86=97, Resulting Numbers: [97]
97,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 65:[58, 56, 54], Operations: ['43+11=54']
Exploring Operation: 56+54=110, Resulting Numbers: [58, 110]
Generated Node #0,2,0: 65:[58, 110] Operation: 56+54=110
Exploring Operation: 58-54=4, Resulting Numbers: [56, 4]
Generated Node #0,2,1: 65:[56, 4] Operation: 58-54=4
Exploring Operation: 58-56=2, Resulting Numbers: [54, 2]
Generated Node #0,2,2: 65:[54, 2] Operation: 58-56=2
Exploring Operation: 56-54=2, Resulting Numbers: [58, 2]
Generated Node #0,2,3: 65:[58, 2] Operation: 56-54=2
Exploring Operation: 58+54=112, Resulting Numbers: [56, 112]
Generated Node #0,2,4: 65:[56, 112] Operation: 58+54=112
Moving to Node #0,1
Current State: 65:[58, 43, 67], Operations: ['11+56=67']
Exploring Operation: 58+43=101, Resulting Numbers: [67, 101]
Generated Node #0,1,0: 65:[67, 101] Operation: 58+43=101
Exploring Operation: 67-58=9, Resulting Numbers: [43, 9]
Generated Node #0,1,1: 65:[43, 9] Operation: 67-58=9
Exploring Operation: 43+67=110, Resulting Numbers: [58, 110]
Generated Node #0,1,2: 65:[58, 110] Operation: 43+67=110
Exploring Operation: 67-43=24, Resulting Numbers: [58, 24]
Generated Node #0,1,3: 65:[58, 24] Operation: 67-43=24
Exploring Operation: 58-43=15, Resulting Numbers: [67, 15]
Generated Node #0,1,4: 65:[67, 15] Operation: 58-43=15
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 65:[67, 15], Operations: ['11+56=67', '58-43=15']
Exploring Operation: 67*15=1005, Resulting Numbers: [1005]
1005,65 unequal: No Solution
Exploring Operation: 67-15=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 67+15=82, Resulting Numbers: [82]
82,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 65:[58, 24], Operations: ['11+56=67', '67-43=24']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,65 unequal: No Solution
Exploring Operation: 58*24=1392, Resulting Numbers: [1392]
1392,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 65:[43, 9], Operations: ['11+56=67', '67-58=9']
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 65:[67, 101], Operations: ['11+56=67', '58+43=101']
Exploring Operation: 67+101=168, Resulting Numbers: [168]
168,65 unequal: No Solution
Exploring Operation: 67*101=6767, Resulting Numbers: [6767]
6767,65 unequal: No Solution
Exploring Operation: 101-67=34, Resulting Numbers: [34]
34,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 65:[58, 110], Operations: ['11+56=67', '43+67=110']
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 58+110=168, Resulting Numbers: [168]
168,65 unequal: No Solution
Exploring Operation: 58*110=6380, Resulting Numbers: [6380]
6380,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 65:[56, 4], Operations: ['43+11=54', '58-54=4']
Exploring Operation: 56*4=224, Resulting Numbers: [224]
224,65 unequal: No Solution
Exploring Operation: 56/4=14, Resulting Numbers: [14]
14,65 unequal: No Solution
Exploring Operation: 56+4=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Moving to Node #0,2,3
Current State: 65:[58, 2], Operations: ['43+11=54', '56-54=2']
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,65 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,65 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Moving to Node #0,2,2
Current State: 65:[54, 2], Operations: ['43+11=54', '58-56=2']
Exploring Operation: 54*2=108, Resulting Numbers: [108]
108,65 unequal: No Solution
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,65 unequal: No Solution
Exploring Operation: 54+2=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Moving to Node #0,2,0
Current State: 65:[58, 110], Operations: ['43+11=54', '56+54=110']
Exploring Operation: 58+110=168, Resulting Numbers: [168]
168,65 unequal: No Solution
Exploring Operation: 58*110=6380, Resulting Numbers: [6380]
6380,65 unequal: No Solution
Exploring Operation: 110-58=52, Resulting Numbers: [52]
52,65 unequal: No Solution
Moving to Node #0,2,4
Current State: 65:[56, 112], Operations: ['43+11=54', '58+54=112']
Exploring Operation: 56+112=168, Resulting Numbers: [168]
168,65 unequal: No Solution
Exploring Operation: 112/56=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 112-56=56, Resulting Numbers: [56]
56,65 unequal: No Solution
Exploring Operation: 56*112=6272, Resulting Numbers: [6272]
6272,65 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
98,
23,
37,
51
] | 33 | [
"98+23=121",
"37+51=88",
"121-88=33"
] | Current State: 33:[98, 23, 37, 51], Operations: []
Exploring Operation: 98+23=121, Resulting Numbers: [37, 51, 121]
Generated Node #2: [37, 51, 121] from Operation: 98+23=121
Current State: 33:[37, 51, 121], Operations: ['98+23=121']
Exploring Operation: 37+51=88, Resulting Numbers: [121, 88]
Generated Node #3: [121, 88] from Operation: 37+51=88
Current State: 33:[121, 88], Operations: ['98+23=121', '37+51=88']
Exploring Operation: 121-88=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[98, 23, 37, 51], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [23, 37, 47]
Generated Node #0,0: 33:[23, 37, 47] Operation: 98-51=47
Exploring Operation: 98-37=61, Resulting Numbers: [23, 51, 61]
Generated Node #0,1: 33:[23, 51, 61] Operation: 98-37=61
Moving to Node #0,0
Current State: 33:[23, 37, 47], Operations: ['98-51=47']
Exploring Operation: 47-37=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 33:[23, 10] Operation: 47-37=10
Exploring Operation: 47-23=24, Resulting Numbers: [37, 24]
Generated Node #0,0,1: 33:[37, 24] Operation: 47-23=24
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[23, 10], Operations: ['98-51=47', '47-37=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[98, 23, 37, 51], Operations: []
Exploring Operation: 98-51=47, Resulting Numbers: [23, 37, 47]
Generated Node #0,0: 33:[23, 37, 47] Operation: 98-51=47
Moving to Node #0,0
Current State: 33:[23, 37, 47], Operations: ['98-51=47']
Exploring Operation: 47-37=10, Resulting Numbers: [23, 10]
Generated Node #0,0,0: 33:[23, 10] Operation: 47-37=10
Moving to Node #0,0,0
Current State: 33:[23, 10], Operations: ['98-51=47', '47-37=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
13,
81,
16,
8
] | 40 | [
"81-16=65",
"65/13=5",
"8*5=40"
] | Current State: 40:[13, 81, 16, 8], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [13, 8, 65]
Generated Node #2: [13, 8, 65] from Operation: 81-16=65
Current State: 40:[13, 8, 65], Operations: ['81-16=65']
Exploring Operation: 65/13=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 65/13=5
Current State: 40:[8, 5], Operations: ['81-16=65', '65/13=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[13, 81, 16, 8], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [13, 8, 65]
Generated Node #0,0: 40:[13, 8, 65] Operation: 81-16=65
Exploring Operation: 81-13=68, Resulting Numbers: [16, 8, 68]
Generated Node #0,1: 40:[16, 8, 68] Operation: 81-13=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[13, 8, 65], Operations: ['81-16=65']
Exploring Operation: 65/13=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 40:[8, 5] Operation: 65/13=5
Exploring Operation: 65-13=52, Resulting Numbers: [8, 52]
Generated Node #0,0,1: 40:[8, 52] Operation: 65-13=52
Moving to Node #0,0,0
Current State: 40:[8, 5], Operations: ['81-16=65', '65/13=5']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,40 unequal: No Solution
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[13, 81, 16, 8], Operations: []
Exploring Operation: 81-16=65, Resulting Numbers: [13, 8, 65]
Generated Node #0,0: 40:[13, 8, 65] Operation: 81-16=65
Moving to Node #0,0
Current State: 40:[13, 8, 65], Operations: ['81-16=65']
Exploring Operation: 65/13=5, Resulting Numbers: [8, 5]
Generated Node #0,0,0: 40:[8, 5] Operation: 65/13=5
Moving to Node #0,0,0
Current State: 40:[8, 5], Operations: ['81-16=65', '65/13=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
24,
30,
11,
2
] | 64 | [
"30-24=6",
"11*6=66",
"66-2=64"
] | Current State: 64:[24, 30, 11, 2], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [11, 2, 6]
Generated Node #2: [11, 2, 6] from Operation: 30-24=6
Current State: 64:[11, 2, 6], Operations: ['30-24=6']
Exploring Operation: 11*6=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 11*6=66
Current State: 64:[2, 66], Operations: ['30-24=6', '11*6=66']
Exploring Operation: 66-2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[24, 30, 11, 2], Operations: []
Exploring Operation: 30-24=6, Resulting Numbers: [11, 2, 6]
Generated Node #0,0: 64:[11, 2, 6] Operation: 30-24=6
Moving to Node #0,0
Current State: 64:[11, 2, 6], Operations: ['30-24=6']
Exploring Operation: 11+6=17, Resulting Numbers: [2, 17]
Generated Node #0,0,0: 64:[2, 17] Operation: 11+6=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[2, 17], Operations: ['30-24=6', '11+6=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
78,
84,
57
] | 56 | [
"78-49=29",
"84-57=27",
"29+27=56"
] | Current State: 56:[49, 78, 84, 57], Operations: []
Exploring Operation: 78-49=29, Resulting Numbers: [84, 57, 29]
Generated Node #2: [84, 57, 29] from Operation: 78-49=29
Current State: 56:[84, 57, 29], Operations: ['78-49=29']
Exploring Operation: 84-57=27, Resulting Numbers: [29, 27]
Generated Node #3: [29, 27] from Operation: 84-57=27
Current State: 56:[29, 27], Operations: ['78-49=29', '84-57=27']
Exploring Operation: 29+27=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[49, 78, 84, 57], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [78, 57, 35]
Generated Node #0,0: 56:[78, 57, 35] Operation: 84-49=35
Exploring Operation: 84-78=6, Resulting Numbers: [49, 57, 6]
Generated Node #0,1: 56:[49, 57, 6] Operation: 84-78=6
Exploring Operation: 78-49=29, Resulting Numbers: [84, 57, 29]
Generated Node #0,2: 56:[84, 57, 29] Operation: 78-49=29
Exploring Operation: 84-57=27, Resulting Numbers: [49, 78, 27]
Generated Node #0,3: 56:[49, 78, 27] Operation: 84-57=27
Moving to Node #0,1
Current State: 56:[49, 57, 6], Operations: ['84-78=6']
Exploring Operation: 49+6=55, Resulting Numbers: [57, 55]
Generated Node #0,1,0: 56:[57, 55] Operation: 49+6=55
Exploring Operation: 49-6=43, Resulting Numbers: [57, 43]
Generated Node #0,1,1: 56:[57, 43] Operation: 49-6=43
Exploring Operation: 57-6=51, Resulting Numbers: [49, 51]
Generated Node #0,1,2: 56:[49, 51] Operation: 57-6=51
Exploring Operation: 57-49=8, Resulting Numbers: [6, 8]
Generated Node #0,1,3: 56:[6, 8] Operation: 57-49=8
Moving to Node #0,2
Current State: 56:[84, 57, 29], Operations: ['78-49=29']
Exploring Operation: 57-29=28, Resulting Numbers: [84, 28]
Generated Node #0,2,0: 56:[84, 28] Operation: 57-29=28
Exploring Operation: 84+29=113, Resulting Numbers: [57, 113]
Generated Node #0,2,1: 56:[57, 113] Operation: 84+29=113
Exploring Operation: 84-29=55, Resulting Numbers: [57, 55]
Generated Node #0,2,2: 56:[57, 55] Operation: 84-29=55
Exploring Operation: 84-57=27, Resulting Numbers: [29, 27]
Generated Node #0,2,3: 56:[29, 27] Operation: 84-57=27
Moving to Node #0,0
Current State: 56:[78, 57, 35], Operations: ['84-49=35']
Exploring Operation: 57-35=22, Resulting Numbers: [78, 22]
Generated Node #0,0,0: 56:[78, 22] Operation: 57-35=22
Exploring Operation: 78-35=43, Resulting Numbers: [57, 43]
Generated Node #0,0,1: 56:[57, 43] Operation: 78-35=43
Exploring Operation: 78+35=113, Resulting Numbers: [57, 113]
Generated Node #0,0,2: 56:[57, 113] Operation: 78+35=113
Exploring Operation: 78-57=21, Resulting Numbers: [35, 21]
Generated Node #0,0,3: 56:[35, 21] Operation: 78-57=21
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[57, 43], Operations: ['84-49=35', '78-35=43']
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,56 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,56 unequal: No Solution
No 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: 56:[35, 21], Operations: ['84-49=35', '78-57=21']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[49, 78, 84, 57], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [78, 57, 35]
Generated Node #0,0: 56:[78, 57, 35] Operation: 84-49=35
Moving to Node #0,0
Current State: 56:[78, 57, 35], Operations: ['84-49=35']
Exploring Operation: 78-57=21, Resulting Numbers: [35, 21]
Generated Node #0,0,3: 56:[35, 21] Operation: 78-57=21
Moving to Node #0,0,3
Current State: 56:[35, 21], Operations: ['84-49=35', '78-57=21']
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_4 | mult_heuristic |
[
64,
84,
63,
51
] | 33 | [
"64-63=1",
"84-51=33",
"1*33=33"
] | Current State: 33:[64, 84, 63, 51], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [84, 51, 1]
Generated Node #2: [84, 51, 1] from Operation: 64-63=1
Current State: 33:[84, 51, 1], Operations: ['64-63=1']
Exploring Operation: 84-51=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 84-51=33
Current State: 33:[1, 33], Operations: ['64-63=1', '84-51=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[64, 84, 63, 51], Operations: []
Exploring Operation: 84-64=20, Resulting Numbers: [63, 51, 20]
Generated Node #0,0: 33:[63, 51, 20] Operation: 84-64=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[63, 51, 20], Operations: ['84-64=20']
Exploring Operation: 63-51=12, Resulting Numbers: [20, 12]
Generated Node #0,0,0: 33:[20, 12] Operation: 63-51=12
Moving to Node #0,0,0
Current State: 33:[20, 12], Operations: ['84-64=20', '63-51=12']
Exploring Operation: 20+12=32, Resulting Numbers: [32]
32,33 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 |
[
45,
67,
3,
5
] | 73 | [
"45*3=135",
"67-5=62",
"135-62=73"
] | Current State: 73:[45, 67, 3, 5], Operations: []
Exploring Operation: 45*3=135, Resulting Numbers: [67, 5, 135]
Generated Node #2: [67, 5, 135] from Operation: 45*3=135
Current State: 73:[67, 5, 135], Operations: ['45*3=135']
Exploring Operation: 67-5=62, Resulting Numbers: [135, 62]
Generated Node #3: [135, 62] from Operation: 67-5=62
Current State: 73:[135, 62], Operations: ['45*3=135', '67-5=62']
Exploring Operation: 135-62=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[45, 67, 3, 5], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [67, 3, 50]
Generated Node #0,0: 73:[67, 3, 50] Operation: 45+5=50
Exploring Operation: 3*5=15, Resulting Numbers: [45, 67, 15]
Generated Node #0,1: 73:[45, 67, 15] Operation: 3*5=15
Exploring Operation: 45+3=48, Resulting Numbers: [67, 5, 48]
Generated Node #0,2: 73:[67, 5, 48] Operation: 45+3=48
Moving to Node #0,1
Current State: 73:[45, 67, 15], Operations: ['3*5=15']
Exploring Operation: 67+15=82, Resulting Numbers: [45, 82]
Generated Node #0,1,0: 73:[45, 82] Operation: 67+15=82
Exploring Operation: 45-15=30, Resulting Numbers: [67, 30]
Generated Node #0,1,1: 73:[67, 30] Operation: 45-15=30
Exploring Operation: 45+15=60, Resulting Numbers: [67, 60]
Generated Node #0,1,2: 73:[67, 60] Operation: 45+15=60
Moving to Node #0,0
Current State: 73:[67, 3, 50], Operations: ['45+5=50']
Exploring Operation: 67-3=64, Resulting Numbers: [50, 64]
Generated Node #0,0,0: 73:[50, 64] Operation: 67-3=64
Exploring Operation: 67+3=70, Resulting Numbers: [50, 70]
Generated Node #0,0,1: 73:[50, 70] Operation: 67+3=70
Exploring Operation: 3+50=53, Resulting Numbers: [67, 53]
Generated Node #0,0,2: 73:[67, 53] Operation: 3+50=53
Moving to Node #0,2
Current State: 73:[67, 5, 48], Operations: ['45+3=48']
Exploring Operation: 5+48=53, Resulting Numbers: [67, 53]
Generated Node #0,2,0: 73:[67, 53] Operation: 5+48=53
Exploring Operation: 67+5=72, Resulting Numbers: [48, 72]
Generated Node #0,2,1: 73:[48, 72] Operation: 67+5=72
Exploring Operation: 67-5=62, Resulting Numbers: [48, 62]
Generated Node #0,2,2: 73:[48, 62] Operation: 67-5=62
Moving to Node #0,1,2
Current State: 73:[67, 60], Operations: ['3*5=15', '45+15=60']
Exploring Operation: 67+60=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Exploring Operation: 67-60=7, Resulting Numbers: [7]
7,73 unequal: No Solution
Exploring Operation: 67*60=4020, Resulting Numbers: [4020]
4020,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[67, 53], Operations: ['45+3=48', '5+48=53']
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,73 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[50, 70], Operations: ['45+5=50', '67+3=70']
Exploring Operation: 70-50=20, Resulting Numbers: [20]
20,73 unequal: No Solution
Exploring Operation: 50+70=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Exploring Operation: 50*70=3500, Resulting Numbers: [3500]
3500,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[67, 53], Operations: ['45+5=50', '3+50=53']
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,73 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[48, 72], Operations: ['45+3=48', '67+5=72']
Exploring Operation: 72-48=24, Resulting Numbers: [24]
24,73 unequal: No Solution
Exploring Operation: 48+72=120, Resulting Numbers: [120]
120,73 unequal: No Solution
Exploring Operation: 48*72=3456, Resulting Numbers: [3456]
3456,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[50, 64], Operations: ['45+5=50', '67-3=64']
Exploring Operation: 50*64=3200, Resulting Numbers: [3200]
3200,73 unequal: No Solution
Exploring Operation: 64-50=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Exploring Operation: 50+64=114, Resulting Numbers: [114]
114,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[48, 62], Operations: ['45+3=48', '67-5=62']
Exploring Operation: 48*62=2976, Resulting Numbers: [2976]
2976,73 unequal: No Solution
Exploring Operation: 48+62=110, Resulting Numbers: [110]
110,73 unequal: No Solution
Exploring Operation: 62-48=14, Resulting Numbers: [14]
14,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[45, 82], Operations: ['3*5=15', '67+15=82']
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,73 unequal: No Solution
Exploring Operation: 45*82=3690, Resulting Numbers: [3690]
3690,73 unequal: No Solution
Exploring Operation: 45+82=127, Resulting Numbers: [127]
127,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[67, 30], Operations: ['3*5=15', '45-15=30']
Exploring Operation: 67+30=97, Resulting Numbers: [97]
97,73 unequal: No Solution
Exploring Operation: 67-30=37, Resulting Numbers: [37]
37,73 unequal: No Solution
Exploring Operation: 67*30=2010, Resulting Numbers: [2010]
2010,73 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
16,
14,
28,
61
] | 90 | [
"61-16=45",
"28/14=2",
"45*2=90"
] | Current State: 90:[16, 14, 28, 61], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [14, 28, 45]
Generated Node #2: [14, 28, 45] from Operation: 61-16=45
Current State: 90:[14, 28, 45], Operations: ['61-16=45']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 28/14=2
Current State: 90:[45, 2], Operations: ['61-16=45', '28/14=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[16, 14, 28, 61], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [14, 28, 45]
Generated Node #0,0: 90:[14, 28, 45] Operation: 61-16=45
Exploring Operation: 28+61=89, Resulting Numbers: [16, 14, 89]
Generated Node #0,1: 90:[16, 14, 89] Operation: 28+61=89
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[14, 28, 45], Operations: ['61-16=45']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 90:[45, 2] Operation: 28/14=2
Exploring Operation: 28-14=14, Resulting Numbers: [45, 14]
Generated Node #0,0,1: 90:[45, 14] Operation: 28-14=14
Moving to Node #0,0,0
Current State: 90:[45, 2], Operations: ['61-16=45', '28/14=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[16, 14, 28, 61], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [14, 28, 45]
Generated Node #0,0: 90:[14, 28, 45] Operation: 61-16=45
Moving to Node #0,0
Current State: 90:[14, 28, 45], Operations: ['61-16=45']
Exploring Operation: 28/14=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 90:[45, 2] Operation: 28/14=2
Moving to Node #0,0,0
Current State: 90:[45, 2], Operations: ['61-16=45', '28/14=2']
Exploring Operation: 45*2=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
14,
70,
58,
63
] | 52 | [
"58*63=3654",
"3654-14=3640",
"3640/70=52"
] | Current State: 52:[14, 70, 58, 63], Operations: []
Exploring Operation: 58*63=3654, Resulting Numbers: [14, 70, 3654]
Generated Node #2: [14, 70, 3654] from Operation: 58*63=3654
Current State: 52:[14, 70, 3654], Operations: ['58*63=3654']
Exploring Operation: 3654-14=3640, Resulting Numbers: [70, 3640]
Generated Node #3: [70, 3640] from Operation: 3654-14=3640
Current State: 52:[70, 3640], Operations: ['58*63=3654', '3654-14=3640']
Exploring Operation: 3640/70=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[14, 70, 58, 63], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [14, 70, 5]
Generated Node #0,0: 52:[14, 70, 5] Operation: 63-58=5
Exploring Operation: 70-58=12, Resulting Numbers: [14, 63, 12]
Generated Node #0,1: 52:[14, 63, 12] Operation: 70-58=12
Exploring Operation: 70-63=7, Resulting Numbers: [14, 58, 7]
Generated Node #0,2: 52:[14, 58, 7] Operation: 70-63=7
Exploring Operation: 70-14=56, Resulting Numbers: [58, 63, 56]
Generated Node #0,3: 52:[58, 63, 56] Operation: 70-14=56
Exploring Operation: 70/14=5, Resulting Numbers: [58, 63, 5]
Generated Node #0,4: 52:[58, 63, 5] Operation: 70/14=5
Moving to Node #0,2
Current State: 52:[14, 58, 7], Operations: ['70-63=7']
Exploring Operation: 14-7=7, Resulting Numbers: [58, 7]
Generated Node #0,2,0: 52:[58, 7] Operation: 14-7=7
Exploring Operation: 14+7=21, Resulting Numbers: [58, 21]
Generated Node #0,2,1: 52:[58, 21] Operation: 14+7=21
Exploring Operation: 58-14=44, Resulting Numbers: [7, 44]
Generated Node #0,2,2: 52:[7, 44] Operation: 58-14=44
Exploring Operation: 14/7=2, Resulting Numbers: [58, 2]
Generated Node #0,2,3: 52:[58, 2] Operation: 14/7=2
Exploring Operation: 58-7=51, Resulting Numbers: [14, 51]
Generated Node #0,2,4: 52:[14, 51] Operation: 58-7=51
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 52:[14, 51], Operations: ['70-63=7', '58-7=51']
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,52 unequal: No Solution
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 52:[58, 2], Operations: ['70-63=7', '14/7=2']
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 58*2=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 58+2=60, Resulting Numbers: [60]
60,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 52:[58, 7], Operations: ['70-63=7', '14-7=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,52 unequal: No Solution
Exploring Operation: 58-7=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 #0,2,1
Current State: 52:[58, 21], Operations: ['70-63=7', '14+7=21']
Exploring Operation: 58*21=1218, Resulting Numbers: [1218]
1218,52 unequal: No Solution
Exploring Operation: 58+21=79, Resulting Numbers: [79]
79,52 unequal: No Solution
Exploring Operation: 58-21=37, Resulting Numbers: [37]
37,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 52:[7, 44], Operations: ['70-63=7', '58-14=44']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 7*44=308, Resulting Numbers: [308]
308,52 unequal: No Solution
Exploring Operation: 7+44=51, Resulting Numbers: [51]
51,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 52:[14, 63, 12], Operations: ['70-58=12']
Exploring Operation: 14+12=26, Resulting Numbers: [63, 26]
Generated Node #0,1,0: 52:[63, 26] Operation: 14+12=26
Exploring Operation: 63-14=49, Resulting Numbers: [12, 49]
Generated Node #0,1,1: 52:[12, 49] Operation: 63-14=49
Exploring Operation: 63-12=51, Resulting Numbers: [14, 51]
Generated Node #0,1,2: 52:[14, 51] Operation: 63-12=51
Exploring Operation: 63+12=75, Resulting Numbers: [14, 75]
Generated Node #0,1,3: 52:[14, 75] Operation: 63+12=75
Exploring Operation: 14-12=2, Resulting Numbers: [63, 2]
Generated Node #0,1,4: 52:[63, 2] Operation: 14-12=2
Moving to Node #0,4
Current State: 52:[58, 63, 5], Operations: ['70/14=5']
Exploring Operation: 58+5=63, Resulting Numbers: [63, 63]
Generated Node #0,4,0: 52:[63, 63] Operation: 58+5=63
Exploring Operation: 63-5=58, Resulting Numbers: [58, 58]
Generated Node #0,4,1: 52:[58, 58] Operation: 63-5=58
Exploring Operation: 63+5=68, Resulting Numbers: [58, 68]
Generated Node #0,4,2: 52:[58, 68] Operation: 63+5=68
Exploring Operation: 63-58=5, Resulting Numbers: [5, 5]
Generated Node #0,4,3: 52:[5, 5] Operation: 63-58=5
Exploring Operation: 58-5=53, Resulting Numbers: [63, 53]
Generated Node #0,4,4: 52:[63, 53] Operation: 58-5=53
Moving to Node #0,0
Current State: 52:[14, 70, 5], Operations: ['63-58=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14, 14]
Generated Node #0,0,0: 52:[14, 14] Operation: 70/5=14
Exploring Operation: 70/14=5, Resulting Numbers: [5, 5]
Generated Node #0,0,1: 52:[5, 5] Operation: 70/14=5
Exploring Operation: 70-5=65, Resulting Numbers: [14, 65]
Generated Node #0,0,2: 52:[14, 65] Operation: 70-5=65
Exploring Operation: 70-14=56, Resulting Numbers: [5, 56]
Generated Node #0,0,3: 52:[5, 56] Operation: 70-14=56
Exploring Operation: 14-5=9, Resulting Numbers: [70, 9]
Generated Node #0,0,4: 52:[70, 9] Operation: 14-5=9
Moving to Node #0,3
Current State: 52:[58, 63, 56], Operations: ['70-14=56']
Exploring Operation: 58-56=2, Resulting Numbers: [63, 2]
Generated Node #0,3,0: 52:[63, 2] Operation: 58-56=2
Exploring Operation: 63-58=5, Resulting Numbers: [56, 5]
Generated Node #0,3,1: 52:[56, 5] Operation: 63-58=5
Exploring Operation: 63-56=7, Resulting Numbers: [58, 7]
Generated Node #0,3,2: 52:[58, 7] Operation: 63-56=7
Exploring Operation: 58+63=121, Resulting Numbers: [56, 121]
Generated Node #0,3,3: 52:[56, 121] Operation: 58+63=121
Exploring Operation: 58+56=114, Resulting Numbers: [63, 114]
Generated Node #0,3,4: 52:[63, 114] Operation: 58+56=114
Moving to Node #0,1,2
Current State: 52:[14, 51], Operations: ['70-58=12', '63-12=51']
Exploring Operation: 51-14=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 14*51=714, Resulting Numbers: [714]
714,52 unequal: No Solution
Exploring Operation: 14+51=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[5, 5], Operations: ['70/14=5', '63-58=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[5, 5], Operations: ['63-58=5', '70/14=5']
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[14, 14], Operations: ['63-58=5', '70/5=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,52 unequal: No Solution
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 14*14=196, Resulting Numbers: [196]
196,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[12, 49], Operations: ['70-58=12', '63-14=49']
Exploring Operation: 12*49=588, Resulting Numbers: [588]
588,52 unequal: No Solution
Exploring Operation: 12+49=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 49-12=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,0,3
Current State: 52:[5, 56], Operations: ['63-58=5', '70-14=56']
Exploring Operation: 5*56=280, Resulting Numbers: [280]
280,52 unequal: No Solution
Exploring Operation: 5+56=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[56, 5], Operations: ['70-14=56', '63-58=5']
Exploring Operation: 56+5=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 56*5=280, Resulting Numbers: [280]
280,52 unequal: No Solution
Exploring Operation: 56-5=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[58, 7], Operations: ['70-14=56', '63-56=7']
Exploring Operation: 58*7=406, Resulting Numbers: [406]
406,52 unequal: No Solution
Exploring Operation: 58-7=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[63, 26], Operations: ['70-58=12', '14+12=26']
Exploring Operation: 63-26=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 63*26=1638, Resulting Numbers: [1638]
1638,52 unequal: No Solution
Exploring Operation: 63+26=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[63, 2], Operations: ['70-14=56', '58-56=2']
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,52 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[63, 2], Operations: ['70-58=12', '14-12=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 63*2=126, Resulting Numbers: [126]
126,52 unequal: No Solution
Exploring Operation: 63+2=65, Resulting Numbers: [65]
65,52 unequal: No Solution
Moving to Node #0,4,1
Current State: 52:[58, 58], Operations: ['70/14=5', '63-5=58']
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 58*58=3364, Resulting Numbers: [3364]
3364,52 unequal: No Solution
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[63, 53], Operations: ['70/14=5', '58-5=53']
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,52 unequal: No Solution
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[14, 65], Operations: ['63-58=5', '70-5=65']
Exploring Operation: 14+65=79, Resulting Numbers: [79]
79,52 unequal: No Solution
Exploring Operation: 65-14=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 14*65=910, Resulting Numbers: [910]
910,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[63, 63], Operations: ['70/14=5', '58+5=63']
Exploring Operation: 63+63=126, Resulting Numbers: [126]
126,52 unequal: No Solution
Exploring Operation: 63*63=3969, Resulting Numbers: [3969]
3969,52 unequal: No Solution
Exploring Operation: 63-63=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Exploring Operation: 63/63=1, Resulting Numbers: [1]
1,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[58, 68], Operations: ['70/14=5', '63+5=68']
Exploring Operation: 68-58=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Exploring Operation: 58+68=126, Resulting Numbers: [126]
126,52 unequal: No Solution
Exploring Operation: 58*68=3944, Resulting Numbers: [3944]
3944,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[70, 9], Operations: ['63-58=5', '14-5=9']
Exploring Operation: 70+9=79, Resulting Numbers: [79]
79,52 unequal: No Solution
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 70*9=630, Resulting Numbers: [630]
630,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[14, 75], Operations: ['70-58=12', '63+12=75']
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,52 unequal: No Solution
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Exploring Operation: 14*75=1050, Resulting Numbers: [1050]
1050,52 unequal: No Solution
Moving to Node #0,3,4
Current State: 52:[63, 114], Operations: ['70-14=56', '58+56=114']
Exploring Operation: 63+114=177, Resulting Numbers: [177]
177,52 unequal: No Solution
Exploring Operation: 114-63=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 63*114=7182, Resulting Numbers: [7182]
7182,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[56, 121], Operations: ['70-14=56', '58+63=121']
Exploring Operation: 56*121=6776, Resulting Numbers: [6776]
6776,52 unequal: No Solution
Exploring Operation: 56+121=177, Resulting Numbers: [177]
177,52 unequal: No Solution
Exploring Operation: 121-56=65, Resulting Numbers: [65]
65,52 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
75,
77,
78,
37
] | 37 | [
"75+77=152",
"78+37=115",
"152-115=37"
] | Current State: 37:[75, 77, 78, 37], Operations: []
Exploring Operation: 75+77=152, Resulting Numbers: [78, 37, 152]
Generated Node #2: [78, 37, 152] from Operation: 75+77=152
Current State: 37:[78, 37, 152], Operations: ['75+77=152']
Exploring Operation: 78+37=115, Resulting Numbers: [152, 115]
Generated Node #3: [152, 115] from Operation: 78+37=115
Current State: 37:[152, 115], Operations: ['75+77=152', '78+37=115']
Exploring Operation: 152-115=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[75, 77, 78, 37], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [78, 37, 2]
Generated Node #0,0: 37:[78, 37, 2] Operation: 77-75=2
Exploring Operation: 75-37=38, Resulting Numbers: [77, 78, 38]
Generated Node #0,1: 37:[77, 78, 38] Operation: 75-37=38
Exploring Operation: 77-37=40, Resulting Numbers: [75, 78, 40]
Generated Node #0,2: 37:[75, 78, 40] Operation: 77-37=40
Exploring Operation: 78-77=1, Resulting Numbers: [75, 37, 1]
Generated Node #0,3: 37:[75, 37, 1] Operation: 78-77=1
Exploring Operation: 78-75=3, Resulting Numbers: [77, 37, 3]
Generated Node #0,4: 37:[77, 37, 3] Operation: 78-75=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 37:[75, 37, 1], Operations: ['78-77=1']
Exploring Operation: 75-37=38, Resulting Numbers: [1, 38]
Generated Node #0,3,0: 37:[1, 38] Operation: 75-37=38
Exploring Operation: 75*1=75, Resulting Numbers: [37, 75]
Generated Node #0,3,1: 37:[37, 75] Operation: 75*1=75
Exploring Operation: 75/1=75, Resulting Numbers: [37, 75]
Generated Node #0,3,2: 37:[37, 75] Operation: 75/1=75
Exploring Operation: 37*1=37, Resulting Numbers: [75, 37]
Generated Node #0,3,3: 37:[75, 37] Operation: 37*1=37
Exploring Operation: 75-1=74, Resulting Numbers: [37, 74]
Generated Node #0,3,4: 37:[37, 74] Operation: 75-1=74
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 37:[1, 38], Operations: ['78-77=1', '75-37=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,37 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[75, 77, 78, 37], Operations: []
Exploring Operation: 78-77=1, Resulting Numbers: [75, 37, 1]
Generated Node #0,3: 37:[75, 37, 1] Operation: 78-77=1
Moving to Node #0,3
Current State: 37:[75, 37, 1], Operations: ['78-77=1']
Exploring Operation: 75-37=38, Resulting Numbers: [1, 38]
Generated Node #0,3,0: 37:[1, 38] Operation: 75-37=38
Moving to Node #0,3,0
Current State: 37:[1, 38], Operations: ['78-77=1', '75-37=38']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
92,
46,
47,
16
] | 78 | [
"92/46=2",
"47*2=94",
"94-16=78"
] | Current State: 78:[92, 46, 47, 16], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [47, 16, 2]
Generated Node #2: [47, 16, 2] from Operation: 92/46=2
Current State: 78:[47, 16, 2], Operations: ['92/46=2']
Exploring Operation: 47*2=94, Resulting Numbers: [16, 94]
Generated Node #3: [16, 94] from Operation: 47*2=94
Current State: 78:[16, 94], Operations: ['92/46=2', '47*2=94']
Exploring Operation: 94-16=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[92, 46, 47, 16], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [92, 16, 1]
Generated Node #0,0: 78:[92, 16, 1] Operation: 47-46=1
Exploring Operation: 92-16=76, Resulting Numbers: [46, 47, 76]
Generated Node #0,1: 78:[46, 47, 76] Operation: 92-16=76
Exploring Operation: 92-46=46, Resulting Numbers: [47, 16, 46]
Generated Node #0,2: 78:[47, 16, 46] Operation: 92-46=46
Exploring Operation: 92/46=2, Resulting Numbers: [47, 16, 2]
Generated Node #0,3: 78:[47, 16, 2] Operation: 92/46=2
Exploring Operation: 92-47=45, Resulting Numbers: [46, 16, 45]
Generated Node #0,4: 78:[46, 16, 45] Operation: 92-47=45
Start Sub Search at level 1: Moving to Node #0,3
Current State: 78:[47, 16, 2], Operations: ['92/46=2']
Exploring Operation: 47-2=45, Resulting Numbers: [16, 45]
Generated Node #0,3,0: 78:[16, 45] Operation: 47-2=45
Exploring Operation: 47+2=49, Resulting Numbers: [16, 49]
Generated Node #0,3,1: 78:[16, 49] Operation: 47+2=49
Exploring Operation: 16-2=14, Resulting Numbers: [47, 14]
Generated Node #0,3,2: 78:[47, 14] Operation: 16-2=14
Exploring Operation: 47-16=31, Resulting Numbers: [2, 31]
Generated Node #0,3,3: 78:[2, 31] Operation: 47-16=31
Exploring Operation: 16/2=8, Resulting Numbers: [47, 8]
Generated Node #0,3,4: 78:[47, 8] Operation: 16/2=8
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 78:[2, 31], Operations: ['92/46=2', '47-16=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,78 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 78:[16, 45], Operations: ['92/46=2', '47-2=45']
Exploring Operation: 16+45=61, Resulting Numbers: [61]
61,78 unequal: No Solution
Exploring Operation: 16*45=720, Resulting Numbers: [720]
720,78 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 78:[47, 14], Operations: ['92/46=2', '16-2=14']
Exploring Operation: 47*14=658, Resulting Numbers: [658]
658,78 unequal: No Solution
Exploring Operation: 47-14=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 47+14=61, Resulting Numbers: [61]
61,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 78:[47, 8], Operations: ['92/46=2', '16/2=8']
Exploring Operation: 47*8=376, Resulting Numbers: [376]
376,78 unequal: No Solution
Exploring Operation: 47+8=55, Resulting Numbers: [55]
55,78 unequal: No Solution
Exploring Operation: 47-8=39, Resulting Numbers: [39]
39,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 78:[16, 49], Operations: ['92/46=2', '47+2=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,78 unequal: No Solution
Exploring Operation: 16*49=784, Resulting Numbers: [784]
784,78 unequal: No Solution
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 78:[46, 16, 45], Operations: ['92-47=45']
Exploring Operation: 46-45=1, Resulting Numbers: [16, 1]
Generated Node #0,4,0: 78:[16, 1] Operation: 46-45=1
Exploring Operation: 45-16=29, Resulting Numbers: [46, 29]
Generated Node #0,4,1: 78:[46, 29] Operation: 45-16=29
Exploring Operation: 46+16=62, Resulting Numbers: [45, 62]
Generated Node #0,4,2: 78:[45, 62] Operation: 46+16=62
Exploring Operation: 46+45=91, Resulting Numbers: [16, 91]
Generated Node #0,4,3: 78:[16, 91] Operation: 46+45=91
Exploring Operation: 46-16=30, Resulting Numbers: [45, 30]
Generated Node #0,4,4: 78:[45, 30] Operation: 46-16=30
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 78:[16, 1], Operations: ['92-47=45', '46-45=1']
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 78:[46, 29], Operations: ['92-47=45', '45-16=29']
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,78 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 78:[45, 30], Operations: ['92-47=45', '46-16=30']
Exploring Operation: 45-30=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 45*30=1350, Resulting Numbers: [1350]
1350,78 unequal: No Solution
Exploring Operation: 45+30=75, Resulting Numbers: [75]
75,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 78:[16, 91], Operations: ['92-47=45', '46+45=91']
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 78:[45, 62], Operations: ['92-47=45', '46+16=62']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[46, 47, 76], Operations: ['92-16=76']
Exploring Operation: 76-47=29, Resulting Numbers: [46, 29]
Generated Node #0,1,0: 78:[46, 29] Operation: 76-47=29
Exploring Operation: 46+47=93, Resulting Numbers: [76, 93]
Generated Node #0,1,1: 78:[76, 93] Operation: 46+47=93
Exploring Operation: 46+76=122, Resulting Numbers: [47, 122]
Generated Node #0,1,2: 78:[47, 122] Operation: 46+76=122
Exploring Operation: 76-46=30, Resulting Numbers: [47, 30]
Generated Node #0,1,3: 78:[47, 30] Operation: 76-46=30
Exploring Operation: 47-46=1, Resulting Numbers: [76, 1]
Generated Node #0,1,4: 78:[76, 1] Operation: 47-46=1
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 78:[76, 1], Operations: ['92-16=76', '47-46=1']
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 76+1=77, Resulting Numbers: [77]
77,78 unequal: No Solution
Exploring Operation: 76*1=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[46, 29], Operations: ['92-16=76', '76-47=29']
Exploring Operation: 46+29=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 46-29=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 46*29=1334, Resulting Numbers: [1334]
1334,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 78:[47, 30], Operations: ['92-16=76', '76-46=30']
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,78 unequal: No Solution
Exploring Operation: 47*30=1410, Resulting Numbers: [1410]
1410,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[76, 93], Operations: ['92-16=76', '46+47=93']
Exploring Operation: 76+93=169, Resulting Numbers: [169]
169,78 unequal: No Solution
Exploring Operation: 76*93=7068, Resulting Numbers: [7068]
7068,78 unequal: No Solution
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[47, 122], Operations: ['92-16=76', '46+76=122']
Exploring Operation: 47+122=169, Resulting Numbers: [169]
169,78 unequal: No Solution
Exploring Operation: 122-47=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 47*122=5734, Resulting Numbers: [5734]
5734,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[92, 16, 1], Operations: ['47-46=1']
Exploring Operation: 92*1=92, Resulting Numbers: [16, 92]
Generated Node #0,0,0: 78:[16, 92] Operation: 92*1=92
Exploring Operation: 92-1=91, Resulting Numbers: [16, 91]
Generated Node #0,0,1: 78:[16, 91] Operation: 92-1=91
Exploring Operation: 16-1=15, Resulting Numbers: [92, 15]
Generated Node #0,0,2: 78:[92, 15] Operation: 16-1=15
Exploring Operation: 92-16=76, Resulting Numbers: [1, 76]
Generated Node #0,0,3: 78:[1, 76] Operation: 92-16=76
Exploring Operation: 92/1=92, Resulting Numbers: [16, 92]
Generated Node #0,0,4: 78:[16, 92] Operation: 92/1=92
Moving to Node #0,0,3
Current State: 78:[1, 76], Operations: ['47-46=1', '92-16=76']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,78 unequal: No Solution
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 76/1=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[92, 15], Operations: ['47-46=1', '16-1=15']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,78 unequal: No Solution
Exploring Operation: 92*15=1380, Resulting Numbers: [1380]
1380,78 unequal: No Solution
Exploring Operation: 92+15=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[16, 91], Operations: ['47-46=1', '92-1=91']
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,78 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[16, 92], Operations: ['47-46=1', '92*1=92']
Exploring Operation: 16+92=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,78 unequal: No Solution
Exploring Operation: 16*92=1472, Resulting Numbers: [1472]
1472,78 unequal: No Solution
Moving to Node #0,0,4
Current State: 78:[16, 92], Operations: ['47-46=1', '92/1=92']
Exploring Operation: 16*92=1472, Resulting Numbers: [1472]
1472,78 unequal: No Solution
Exploring Operation: 16+92=108, Resulting Numbers: [108]
108,78 unequal: No Solution
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[47, 16, 46], Operations: ['92-46=46']
Exploring Operation: 47+46=93, Resulting Numbers: [16, 93]
Generated Node #0,2,0: 78:[16, 93] Operation: 47+46=93
Exploring Operation: 46-16=30, Resulting Numbers: [47, 30]
Generated Node #0,2,1: 78:[47, 30] Operation: 46-16=30
Exploring Operation: 47-16=31, Resulting Numbers: [46, 31]
Generated Node #0,2,2: 78:[46, 31] Operation: 47-16=31
Exploring Operation: 47+16=63, Resulting Numbers: [46, 63]
Generated Node #0,2,3: 78:[46, 63] Operation: 47+16=63
Exploring Operation: 47-46=1, Resulting Numbers: [16, 1]
Generated Node #0,2,4: 78:[16, 1] Operation: 47-46=1
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 78:[16, 1], Operations: ['92-46=46', '47-46=1']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 16+1=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 16*1=16, Resulting Numbers: [16]
16,78 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[47, 30], Operations: ['92-46=46', '46-16=30']
Exploring Operation: 47*30=1410, Resulting Numbers: [1410]
1410,78 unequal: No Solution
Exploring Operation: 47-30=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 47+30=77, Resulting Numbers: [77]
77,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[46, 31], Operations: ['92-46=46', '47-16=31']
Exploring Operation: 46-31=15, Resulting Numbers: [15]
15,78 unequal: No Solution
Exploring Operation: 46*31=1426, Resulting Numbers: [1426]
1426,78 unequal: No Solution
Exploring Operation: 46+31=77, Resulting Numbers: [77]
77,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[16, 93], Operations: ['92-46=46', '47+46=93']
Exploring Operation: 16*93=1488, Resulting Numbers: [1488]
1488,78 unequal: No Solution
Exploring Operation: 16+93=109, Resulting Numbers: [109]
109,78 unequal: No Solution
Exploring Operation: 93-16=77, Resulting Numbers: [77]
77,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 78:[46, 63], Operations: ['92-46=46', '47+16=63']
Exploring Operation: 63-46=17, Resulting Numbers: [17]
17,78 unequal: No Solution
Exploring Operation: 46*63=2898, Resulting Numbers: [2898]
2898,78 unequal: No Solution
Exploring Operation: 46+63=109, Resulting Numbers: [109]
109,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
88,
6,
9,
15
] | 70 | [
"88+6=94",
"9+15=24",
"94-24=70"
] | Current State: 70:[88, 6, 9, 15], Operations: []
Exploring Operation: 88+6=94, Resulting Numbers: [9, 15, 94]
Generated Node #2: [9, 15, 94] from Operation: 88+6=94
Current State: 70:[9, 15, 94], Operations: ['88+6=94']
Exploring Operation: 9+15=24, Resulting Numbers: [94, 24]
Generated Node #3: [94, 24] from Operation: 9+15=24
Current State: 70:[94, 24], Operations: ['88+6=94', '9+15=24']
Exploring Operation: 94-24=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[88, 6, 9, 15], Operations: []
Exploring Operation: 88-15=73, Resulting Numbers: [6, 9, 73]
Generated Node #0,0: 70:[6, 9, 73] Operation: 88-15=73
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[6, 9, 73], Operations: ['88-15=73']
Exploring Operation: 6+9=15, Resulting Numbers: [73, 15]
Generated Node #0,0,0: 70:[73, 15] Operation: 6+9=15
Moving to Node #0,0,0
Current State: 70:[73, 15], Operations: ['88-15=73', '6+9=15']
Exploring Operation: 73-15=58, Resulting Numbers: [58]
58,70 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 |
[
68,
84,
88,
87
] | 60 | [
"88-68=20",
"87-84=3",
"20*3=60"
] | Current State: 60:[68, 84, 88, 87], Operations: []
Exploring Operation: 88-68=20, Resulting Numbers: [84, 87, 20]
Generated Node #2: [84, 87, 20] from Operation: 88-68=20
Current State: 60:[84, 87, 20], Operations: ['88-68=20']
Exploring Operation: 87-84=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 87-84=3
Current State: 60:[20, 3], Operations: ['88-68=20', '87-84=3']
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[68, 84, 88, 87], Operations: []
Exploring Operation: 88-87=1, Resulting Numbers: [68, 84, 1]
Generated Node #0,0: 60:[68, 84, 1] Operation: 88-87=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[68, 84, 1], Operations: ['88-87=1']
Exploring Operation: 84-68=16, Resulting Numbers: [1, 16]
Generated Node #0,0,0: 60:[1, 16] Operation: 84-68=16
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 60:[1, 16], Operations: ['88-87=1', '84-68=16']
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
45,
55,
79,
8
] | 29 | [
"45+55=100",
"79-8=71",
"100-71=29"
] | Current State: 29:[45, 55, 79, 8], Operations: []
Exploring Operation: 45+55=100, Resulting Numbers: [79, 8, 100]
Generated Node #2: [79, 8, 100] from Operation: 45+55=100
Current State: 29:[79, 8, 100], Operations: ['45+55=100']
Exploring Operation: 79-8=71, Resulting Numbers: [100, 71]
Generated Node #3: [100, 71] from Operation: 79-8=71
Current State: 29:[100, 71], Operations: ['45+55=100', '79-8=71']
Exploring Operation: 100-71=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[45, 55, 79, 8], Operations: []
Exploring Operation: 79-45=34, Resulting Numbers: [55, 8, 34]
Generated Node #0,0: 29:[55, 8, 34] Operation: 79-45=34
Exploring Operation: 79-55=24, Resulting Numbers: [45, 8, 24]
Generated Node #0,1: 29:[45, 8, 24] Operation: 79-55=24
Exploring Operation: 45-8=37, Resulting Numbers: [55, 79, 37]
Generated Node #0,2: 29:[55, 79, 37] Operation: 45-8=37
Exploring Operation: 55-8=47, Resulting Numbers: [45, 79, 47]
Generated Node #0,3: 29:[45, 79, 47] Operation: 55-8=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 29:[45, 8, 24], Operations: ['79-55=24']
Exploring Operation: 45-24=21, Resulting Numbers: [8, 21]
Generated Node #0,1,0: 29:[8, 21] Operation: 45-24=21
Exploring Operation: 45-8=37, Resulting Numbers: [24, 37]
Generated Node #0,1,1: 29:[24, 37] Operation: 45-8=37
Exploring Operation: 8+24=32, Resulting Numbers: [45, 32]
Generated Node #0,1,2: 29:[45, 32] Operation: 8+24=32
Exploring Operation: 45+8=53, Resulting Numbers: [24, 53]
Generated Node #0,1,3: 29:[24, 53] Operation: 45+8=53
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 29:[24, 37], Operations: ['79-55=24', '45-8=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,29 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,29 unequal: No Solution
No 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: 29:[45, 32], Operations: ['79-55=24', '8+24=32']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 45*32=1440, Resulting Numbers: [1440]
1440,29 unequal: No Solution
Exploring Operation: 45+32=77, Resulting Numbers: [77]
77,29 unequal: No Solution
No 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: 29:[8, 21], Operations: ['79-55=24', '45-24=21']
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,29 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[45, 55, 79, 8], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [45, 8, 24]
Generated Node #0,1: 29:[45, 8, 24] Operation: 79-55=24
Moving to Node #0,1
Current State: 29:[45, 8, 24], Operations: ['79-55=24']
Exploring Operation: 45-24=21, Resulting Numbers: [8, 21]
Generated Node #0,1,0: 29:[8, 21] Operation: 45-24=21
Moving to Node #0,1,0
Current State: 29:[8, 21], Operations: ['79-55=24', '45-24=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
70,
4,
50,
14
] | 75 | [
"14-4=10",
"50/10=5",
"70+5=75"
] | Current State: 75:[70, 4, 50, 14], Operations: []
Exploring Operation: 14-4=10, Resulting Numbers: [70, 50, 10]
Generated Node #2: [70, 50, 10] from Operation: 14-4=10
Current State: 75:[70, 50, 10], Operations: ['14-4=10']
Exploring Operation: 50/10=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 50/10=5
Current State: 75:[70, 5], Operations: ['14-4=10', '50/10=5']
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[70, 4, 50, 14], Operations: []
Exploring Operation: 70-50=20, Resulting Numbers: [4, 14, 20]
Generated Node #0,0: 75:[4, 14, 20] Operation: 70-50=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[4, 14, 20], Operations: ['70-50=20']
Exploring Operation: 20/4=5, Resulting Numbers: [14, 5]
Generated Node #0,0,0: 75:[14, 5] Operation: 20/4=5
Moving to Node #0,0,0
Current State: 75:[14, 5], Operations: ['70-50=20', '20/4=5']
Exploring Operation: 14+5=19, Resulting Numbers: [19]
19,75 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 |
[
15,
58,
98,
77
] | 64 | [
"58-15=43",
"98-77=21",
"43+21=64"
] | Current State: 64:[15, 58, 98, 77], Operations: []
Exploring Operation: 58-15=43, Resulting Numbers: [98, 77, 43]
Generated Node #2: [98, 77, 43] from Operation: 58-15=43
Current State: 64:[98, 77, 43], Operations: ['58-15=43']
Exploring Operation: 98-77=21, Resulting Numbers: [43, 21]
Generated Node #3: [43, 21] from Operation: 98-77=21
Current State: 64:[43, 21], Operations: ['58-15=43', '98-77=21']
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[15, 58, 98, 77], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [15, 58, 21]
Generated Node #0,0: 64:[15, 58, 21] Operation: 98-77=21
Exploring Operation: 98-58=40, Resulting Numbers: [15, 77, 40]
Generated Node #0,1: 64:[15, 77, 40] Operation: 98-58=40
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[15, 58, 21], Operations: ['98-77=21']
Exploring Operation: 58-21=37, Resulting Numbers: [15, 37]
Generated Node #0,0,0: 64:[15, 37] Operation: 58-21=37
Exploring Operation: 21-15=6, Resulting Numbers: [58, 6]
Generated Node #0,0,1: 64:[58, 6] Operation: 21-15=6
Moving to Node #0,0,0
Current State: 64:[15, 37], Operations: ['98-77=21', '58-21=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,64 unequal: No Solution
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[58, 6], Operations: ['98-77=21', '21-15=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[15, 58, 98, 77], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [15, 58, 21]
Generated Node #0,0: 64:[15, 58, 21] Operation: 98-77=21
Moving to Node #0,0
Current State: 64:[15, 58, 21], Operations: ['98-77=21']
Exploring Operation: 21-15=6, Resulting Numbers: [58, 6]
Generated Node #0,0,1: 64:[58, 6] Operation: 21-15=6
Moving to Node #0,0,1
Current State: 64:[58, 6], Operations: ['98-77=21', '21-15=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
71,
54,
73,
47
] | 14 | [
"73-71=2",
"54-47=7",
"2*7=14"
] | Current State: 14:[71, 54, 73, 47], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [54, 47, 2]
Generated Node #2: [54, 47, 2] from Operation: 73-71=2
Current State: 14:[54, 47, 2], Operations: ['73-71=2']
Exploring Operation: 54-47=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 54-47=7
Current State: 14:[2, 7], Operations: ['73-71=2', '54-47=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[71, 54, 73, 47], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [73, 47, 17]
Generated Node #0,0: 14:[73, 47, 17] Operation: 71-54=17
Exploring Operation: 73-71=2, Resulting Numbers: [54, 47, 2]
Generated Node #0,1: 14:[54, 47, 2] Operation: 73-71=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 14:[54, 47, 2], Operations: ['73-71=2']
Exploring Operation: 54/2=27, Resulting Numbers: [47, 27]
Generated Node #0,1,0: 14:[47, 27] Operation: 54/2=27
Exploring Operation: 54-47=7, Resulting Numbers: [2, 7]
Generated Node #0,1,1: 14:[2, 7] Operation: 54-47=7
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 14:[2, 7], Operations: ['73-71=2', '54-47=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[71, 54, 73, 47], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [54, 47, 2]
Generated Node #0,1: 14:[54, 47, 2] Operation: 73-71=2
Moving to Node #0,1
Current State: 14:[54, 47, 2], Operations: ['73-71=2']
Exploring Operation: 54-47=7, Resulting Numbers: [2, 7]
Generated Node #0,1,1: 14:[2, 7] Operation: 54-47=7
Moving to Node #0,1,1
Current State: 14:[2, 7], Operations: ['73-71=2', '54-47=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
30,
37,
6,
25
] | 28 | [
"37-25=12",
"12/6=2",
"30-2=28"
] | Current State: 28:[30, 37, 6, 25], Operations: []
Exploring Operation: 37-25=12, Resulting Numbers: [30, 6, 12]
Generated Node #2: [30, 6, 12] from Operation: 37-25=12
Current State: 28:[30, 6, 12], Operations: ['37-25=12']
Exploring Operation: 12/6=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 12/6=2
Current State: 28:[30, 2], Operations: ['37-25=12', '12/6=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[30, 37, 6, 25], Operations: []
Exploring Operation: 30/6=5, Resulting Numbers: [37, 25, 5]
Generated Node #0,0: 28:[37, 25, 5] Operation: 30/6=5
Exploring Operation: 37-25=12, Resulting Numbers: [30, 6, 12]
Generated Node #0,1: 28:[30, 6, 12] Operation: 37-25=12
Exploring Operation: 30-25=5, Resulting Numbers: [37, 6, 5]
Generated Node #0,2: 28:[37, 6, 5] Operation: 30-25=5
Exploring Operation: 37-6=31, Resulting Numbers: [30, 25, 31]
Generated Node #0,3: 28:[30, 25, 31] Operation: 37-6=31
Exploring Operation: 37-30=7, Resulting Numbers: [6, 25, 7]
Generated Node #0,4: 28:[6, 25, 7] Operation: 37-30=7
Start Sub Search at level 1: Moving to Node #0,4
Current State: 28:[6, 25, 7], Operations: ['37-30=7']
Exploring Operation: 6+7=13, Resulting Numbers: [25, 13]
Generated Node #0,4,0: 28:[25, 13] Operation: 6+7=13
Exploring Operation: 7-6=1, Resulting Numbers: [25, 1]
Generated Node #0,4,1: 28:[25, 1] Operation: 7-6=1
Exploring Operation: 25-6=19, Resulting Numbers: [7, 19]
Generated Node #0,4,2: 28:[7, 19] Operation: 25-6=19
Exploring Operation: 6+25=31, Resulting Numbers: [7, 31]
Generated Node #0,4,3: 28:[7, 31] Operation: 6+25=31
Exploring Operation: 25+7=32, Resulting Numbers: [6, 32]
Generated Node #0,4,4: 28:[6, 32] Operation: 25+7=32
Moving to Node #0,4,3
Current State: 28:[7, 31], Operations: ['37-30=7', '6+25=31']
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 7*31=217, Resulting Numbers: [217]
217,28 unequal: No Solution
Exploring Operation: 7+31=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Moving to Node #0,4,1
Current State: 28:[25, 1], Operations: ['37-30=7', '7-6=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,28 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Moving to Node #0,4,0
Current State: 28:[25, 13], Operations: ['37-30=7', '6+7=13']
Exploring Operation: 25-13=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Exploring Operation: 25+13=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 25*13=325, Resulting Numbers: [325]
325,28 unequal: No Solution
Moving to Node #0,4,2
Current State: 28:[7, 19], Operations: ['37-30=7', '25-6=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,28 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,28 unequal: No Solution
Moving to Node #0,4,4
Current State: 28:[6, 32], Operations: ['37-30=7', '25+7=32']
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,28 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,28 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 28:[30, 6, 12], Operations: ['37-25=12']
Exploring Operation: 30-6=24, Resulting Numbers: [12, 24]
Generated Node #0,1,0: 28:[12, 24] Operation: 30-6=24
Exploring Operation: 12/6=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 28:[30, 2] Operation: 12/6=2
Exploring Operation: 12-6=6, Resulting Numbers: [30, 6]
Generated Node #0,1,2: 28:[30, 6] Operation: 12-6=6
Exploring Operation: 30/6=5, Resulting Numbers: [12, 5]
Generated Node #0,1,3: 28:[12, 5] Operation: 30/6=5
Exploring Operation: 30-12=18, Resulting Numbers: [6, 18]
Generated Node #0,1,4: 28:[6, 18] Operation: 30-12=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 28:[30, 2], Operations: ['37-25=12', '12/6=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[30, 37, 6, 25], Operations: []
Exploring Operation: 37-25=12, Resulting Numbers: [30, 6, 12]
Generated Node #0,1: 28:[30, 6, 12] Operation: 37-25=12
Moving to Node #0,1
Current State: 28:[30, 6, 12], Operations: ['37-25=12']
Exploring Operation: 12/6=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 28:[30, 2] Operation: 12/6=2
Moving to Node #0,1,1
Current State: 28:[30, 2], Operations: ['37-25=12', '12/6=2']
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
6,
93,
35,
6
] | 46 | [
"93-6=87",
"35+6=41",
"87-41=46"
] | Current State: 46:[6, 93, 35, 6], Operations: []
Exploring Operation: 93-6=87, Resulting Numbers: [35, 87]
Generated Node #2: [35, 87] from Operation: 93-6=87
Current State: 46:[35, 87], Operations: ['93-6=87']
Exploring Operation: 35+6=41, Resulting Numbers: [87, 41]
Generated Node #3: [87, 41] from Operation: 35+6=41
Current State: 46:[87, 41], Operations: ['93-6=87', '35+6=41']
Exploring Operation: 87-41=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[6, 93, 35, 6], Operations: []
Exploring Operation: 6+35=41, Resulting Numbers: [93, 6, 41]
Generated Node #0,0: 46:[93, 6, 41] Operation: 6+35=41
Exploring Operation: 93-6=87, Resulting Numbers: [35, 6, 87]
Generated Node #0,1: 46:[35, 6, 87] Operation: 93-6=87
Exploring Operation: 93-6=87, Resulting Numbers: [6, 35, 87]
Generated Node #0,2: 46:[6, 35, 87] Operation: 93-6=87
Exploring Operation: 93-35=58, Resulting Numbers: [6, 6, 58]
Generated Node #0,3: 46:[6, 6, 58] Operation: 93-35=58
Exploring Operation: 35+6=41, Resulting Numbers: [6, 93, 41]
Generated Node #0,4: 46:[6, 93, 41] Operation: 35+6=41
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[6, 6, 58], Operations: ['93-35=58']
Exploring Operation: 6+6=12, Resulting Numbers: [58, 12]
Generated Node #0,3,0: 46:[58, 12] Operation: 6+6=12
Exploring Operation: 58-6=52, Resulting Numbers: [6, 52]
Generated Node #0,3,1: 46:[6, 52] Operation: 58-6=52
Exploring Operation: 6/6=1, Resulting Numbers: [58, 1]
Generated Node #0,3,2: 46:[58, 1] Operation: 6/6=1
Exploring Operation: 58-6=52, Resulting Numbers: [6, 52]
Generated Node #0,3,3: 46:[6, 52] Operation: 58-6=52
Exploring Operation: 6-6=0, Resulting Numbers: [58, 0]
Generated Node #0,3,4: 46:[58, 0] Operation: 6-6=0
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 46:[6, 52], Operations: ['93-35=58', '58-6=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[6, 93, 35, 6], Operations: []
Exploring Operation: 93-35=58, Resulting Numbers: [6, 6, 58]
Generated Node #0,3: 46:[6, 6, 58] Operation: 93-35=58
Moving to Node #0,3
Current State: 46:[6, 6, 58], Operations: ['93-35=58']
Exploring Operation: 58-6=52, Resulting Numbers: [6, 52]
Generated Node #0,3,1: 46:[6, 52] Operation: 58-6=52
Moving to Node #0,3,1
Current State: 46:[6, 52], Operations: ['93-35=58', '58-6=52']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
73,
20,
32,
5
] | 66 | [
"73+20=93",
"32-5=27",
"93-27=66"
] | Current State: 66:[73, 20, 32, 5], Operations: []
Exploring Operation: 73+20=93, Resulting Numbers: [32, 5, 93]
Generated Node #2: [32, 5, 93] from Operation: 73+20=93
Current State: 66:[32, 5, 93], Operations: ['73+20=93']
Exploring Operation: 32-5=27, Resulting Numbers: [93, 27]
Generated Node #3: [93, 27] from Operation: 32-5=27
Current State: 66:[93, 27], Operations: ['73+20=93', '32-5=27']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[73, 20, 32, 5], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [73, 5, 12]
Generated Node #0,0: 66:[73, 5, 12] Operation: 32-20=12
Exploring Operation: 20/5=4, Resulting Numbers: [73, 32, 4]
Generated Node #0,1: 66:[73, 32, 4] Operation: 20/5=4
Exploring Operation: 73-5=68, Resulting Numbers: [20, 32, 68]
Generated Node #0,2: 66:[20, 32, 68] Operation: 73-5=68
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[20, 32, 68], Operations: ['73-5=68']
Exploring Operation: 20+32=52, Resulting Numbers: [68, 52]
Generated Node #0,2,0: 66:[68, 52] Operation: 20+32=52
Exploring Operation: 68-32=36, Resulting Numbers: [20, 36]
Generated Node #0,2,1: 66:[20, 36] Operation: 68-32=36
Exploring Operation: 32-20=12, Resulting Numbers: [68, 12]
Generated Node #0,2,2: 66:[68, 12] Operation: 32-20=12
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 66:[68, 12], Operations: ['73-5=68', '32-20=12']
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,66 unequal: No Solution
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[20, 36], Operations: ['73-5=68', '68-32=36']
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,66 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[68, 52], Operations: ['73-5=68', '20+32=52']
Exploring Operation: 68+52=120, Resulting Numbers: [120]
120,66 unequal: No Solution
Exploring Operation: 68-52=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 68*52=3536, Resulting Numbers: [3536]
3536,66 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: 66:[73, 5, 12], Operations: ['32-20=12']
Exploring Operation: 73-12=61, Resulting Numbers: [5, 61]
Generated Node #0,0,0: 66:[5, 61] Operation: 73-12=61
Exploring Operation: 12-5=7, Resulting Numbers: [73, 7]
Generated Node #0,0,1: 66:[73, 7] Operation: 12-5=7
Exploring Operation: 73-5=68, Resulting Numbers: [12, 68]
Generated Node #0,0,2: 66:[12, 68] Operation: 73-5=68
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[12, 68], Operations: ['32-20=12', '73-5=68']
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 12*68=816, Resulting Numbers: [816]
816,66 unequal: No Solution
Exploring Operation: 12+68=80, Resulting Numbers: [80]
80,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[5, 61], Operations: ['32-20=12', '73-12=61']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,66 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,66 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[73, 20, 32, 5], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [73, 5, 12]
Generated Node #0,0: 66:[73, 5, 12] Operation: 32-20=12
Moving to Node #0,0
Current State: 66:[73, 5, 12], Operations: ['32-20=12']
Exploring Operation: 73-12=61, Resulting Numbers: [5, 61]
Generated Node #0,0,0: 66:[5, 61] Operation: 73-12=61
Moving to Node #0,0,0
Current State: 66:[5, 61], Operations: ['32-20=12', '73-12=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.975694 | hs_3 | mult_heuristic |
[
89,
70,
20,
82
] | 82 | [
"89-70=19",
"20-19=1",
"82*1=82"
] | Current State: 82:[89, 70, 20, 82], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [20, 82, 19]
Generated Node #2: [20, 82, 19] from Operation: 89-70=19
Current State: 82:[20, 82, 19], Operations: ['89-70=19']
Exploring Operation: 20-19=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 20-19=1
Current State: 82:[82, 1], Operations: ['89-70=19', '20-19=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[89, 70, 20, 82], Operations: []
Exploring Operation: 70+20=90, Resulting Numbers: [89, 82, 90]
Generated Node #0,0: 82:[89, 82, 90] Operation: 70+20=90
Exploring Operation: 89-20=69, Resulting Numbers: [70, 82, 69]
Generated Node #0,1: 82:[70, 82, 69] Operation: 89-20=69
Exploring Operation: 70-20=50, Resulting Numbers: [89, 82, 50]
Generated Node #0,2: 82:[89, 82, 50] Operation: 70-20=50
Exploring Operation: 89-70=19, Resulting Numbers: [20, 82, 19]
Generated Node #0,3: 82:[20, 82, 19] Operation: 89-70=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[89, 82, 90], Operations: ['70+20=90']
Exploring Operation: 90-82=8, Resulting Numbers: [89, 8]
Generated Node #0,0,0: 82:[89, 8] Operation: 90-82=8
Exploring Operation: 89+82=171, Resulting Numbers: [90, 171]
Generated Node #0,0,1: 82:[90, 171] Operation: 89+82=171
Exploring Operation: 89-82=7, Resulting Numbers: [90, 7]
Generated Node #0,0,2: 82:[90, 7] Operation: 89-82=7
Exploring Operation: 90-89=1, Resulting Numbers: [82, 1]
Generated Node #0,0,3: 82:[82, 1] Operation: 90-89=1
Moving to Node #0,0,3
Current State: 82:[82, 1], Operations: ['70+20=90', '90-89=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[89, 70, 20, 82], Operations: []
Exploring Operation: 70+20=90, Resulting Numbers: [89, 82, 90]
Generated Node #0,0: 82:[89, 82, 90] Operation: 70+20=90
Moving to Node #0,0
Current State: 82:[89, 82, 90], Operations: ['70+20=90']
Exploring Operation: 90-89=1, Resulting Numbers: [82, 1]
Generated Node #0,0,3: 82:[82, 1] Operation: 90-89=1
Moving to Node #0,0,3
Current State: 82:[82, 1], Operations: ['70+20=90', '90-89=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
94,
83,
11,
39
] | 78 | [
"94-39=55",
"55/11=5",
"83-5=78"
] | Current State: 78:[94, 83, 11, 39], Operations: []
Exploring Operation: 94-39=55, Resulting Numbers: [83, 11, 55]
Generated Node #2: [83, 11, 55] from Operation: 94-39=55
Current State: 78:[83, 11, 55], Operations: ['94-39=55']
Exploring Operation: 55/11=5, Resulting Numbers: [83, 5]
Generated Node #3: [83, 5] from Operation: 55/11=5
Current State: 78:[83, 5], Operations: ['94-39=55', '55/11=5']
Exploring Operation: 83-5=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[94, 83, 11, 39], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [11, 39, 11]
Generated Node #0,0: 78:[11, 39, 11] Operation: 94-83=11
Exploring Operation: 94-11=83, Resulting Numbers: [83, 39, 83]
Generated Node #0,1: 78:[83, 39, 83] Operation: 94-11=83
Moving to Node #0,0
Current State: 78:[11, 39, 11], Operations: ['94-83=11']
Exploring Operation: 11-11=0, Resulting Numbers: [39, 0]
Generated Node #0,0,0: 78:[39, 0] Operation: 11-11=0
Exploring Operation: 11/11=1, Resulting Numbers: [39, 1]
Generated Node #0,0,1: 78:[39, 1] Operation: 11/11=1
Moving to Node #0,1
Current State: 78:[83, 39, 83], Operations: ['94-11=83']
Exploring Operation: 83/83=1, Resulting Numbers: [39, 1]
Generated Node #0,1,0: 78:[39, 1] Operation: 83/83=1
Exploring Operation: 83-83=0, Resulting Numbers: [39, 0]
Generated Node #0,1,1: 78:[39, 0] Operation: 83-83=0
Moving to Node #0,0,1
Current State: 78:[39, 1], Operations: ['94-83=11', '11/11=1']
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[39, 1], Operations: ['94-11=83', '83/83=1']
Exploring Operation: 39/1=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 39*1=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[39, 0], Operations: ['94-83=11', '11-11=0']
Exploring Operation: 39-0=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[39, 0], Operations: ['94-11=83', '83-83=0']
Exploring Operation: 39-0=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 39+0=39, Resulting Numbers: [39]
39,78 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
85,
20,
79,
70
] | 21 | [
"85-79=6",
"70*6=420",
"420/20=21"
] | Current State: 21:[85, 20, 79, 70], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [20, 70, 6]
Generated Node #2: [20, 70, 6] from Operation: 85-79=6
Current State: 21:[20, 70, 6], Operations: ['85-79=6']
Exploring Operation: 70*6=420, Resulting Numbers: [20, 420]
Generated Node #3: [20, 420] from Operation: 70*6=420
Current State: 21:[20, 420], Operations: ['85-79=6', '70*6=420']
Exploring Operation: 420/20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[85, 20, 79, 70], Operations: []
Exploring Operation: 85-79=6, Resulting Numbers: [20, 70, 6]
Generated Node #0,0: 21:[20, 70, 6] Operation: 85-79=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[20, 70, 6], Operations: ['85-79=6']
Exploring Operation: 70-20=50, Resulting Numbers: [6, 50]
Generated Node #0,0,0: 21:[6, 50] Operation: 70-20=50
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[6, 50], Operations: ['85-79=6', '70-20=50']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,21 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
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
70,
40,
22
] | 80 | [
"5*22=110",
"70-40=30",
"110-30=80"
] | Current State: 80:[5, 70, 40, 22], Operations: []
Exploring Operation: 5*22=110, Resulting Numbers: [70, 40, 110]
Generated Node #2: [70, 40, 110] from Operation: 5*22=110
Current State: 80:[70, 40, 110], Operations: ['5*22=110']
Exploring Operation: 70-40=30, Resulting Numbers: [110, 30]
Generated Node #3: [110, 30] from Operation: 70-40=30
Current State: 80:[110, 30], Operations: ['5*22=110', '70-40=30']
Exploring Operation: 110-30=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[5, 70, 40, 22], Operations: []
Exploring Operation: 70/5=14, Resulting Numbers: [40, 22, 14]
Generated Node #0,0: 80:[40, 22, 14] Operation: 70/5=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[40, 22, 14], Operations: ['70/5=14']
Exploring Operation: 22-14=8, Resulting Numbers: [40, 8]
Generated Node #0,0,0: 80:[40, 8] Operation: 22-14=8
Moving to Node #0,0,0
Current State: 80:[40, 8], Operations: ['70/5=14', '22-14=8']
Exploring Operation: 40/8=5, Resulting Numbers: [5]
5,80 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 |
[
53,
45,
76,
85
] | 48 | [
"85-76=9",
"45/9=5",
"53-5=48"
] | Current State: 48:[53, 45, 76, 85], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [53, 45, 9]
Generated Node #2: [53, 45, 9] from Operation: 85-76=9
Current State: 48:[53, 45, 9], Operations: ['85-76=9']
Exploring Operation: 45/9=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 45/9=5
Current State: 48:[53, 5], Operations: ['85-76=9', '45/9=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[53, 45, 76, 85], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [53, 45, 9]
Generated Node #0,0: 48:[53, 45, 9] Operation: 85-76=9
Exploring Operation: 85-53=32, Resulting Numbers: [45, 76, 32]
Generated Node #0,1: 48:[45, 76, 32] Operation: 85-53=32
Exploring Operation: 76-53=23, Resulting Numbers: [45, 85, 23]
Generated Node #0,2: 48:[45, 85, 23] Operation: 76-53=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[53, 45, 9], Operations: ['85-76=9']
Exploring Operation: 53-45=8, Resulting Numbers: [9, 8]
Generated Node #0,0,0: 48:[9, 8] Operation: 53-45=8
Exploring Operation: 45/9=5, Resulting Numbers: [53, 5]
Generated Node #0,0,1: 48:[53, 5] Operation: 45/9=5
Exploring Operation: 53-9=44, Resulting Numbers: [45, 44]
Generated Node #0,0,2: 48:[45, 44] Operation: 53-9=44
Moving to Node #0,0,0
Current State: 48:[9, 8], Operations: ['85-76=9', '53-45=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[53, 5], Operations: ['85-76=9', '45/9=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[53, 45, 76, 85], Operations: []
Exploring Operation: 85-76=9, Resulting Numbers: [53, 45, 9]
Generated Node #0,0: 48:[53, 45, 9] Operation: 85-76=9
Moving to Node #0,0
Current State: 48:[53, 45, 9], Operations: ['85-76=9']
Exploring Operation: 45/9=5, Resulting Numbers: [53, 5]
Generated Node #0,0,1: 48:[53, 5] Operation: 45/9=5
Moving to Node #0,0,1
Current State: 48:[53, 5], Operations: ['85-76=9', '45/9=5']
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
87,
94,
2,
29
] | 43 | [
"94-87=7",
"2*7=14",
"29+14=43"
] | Current State: 43:[87, 94, 2, 29], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [2, 29, 7]
Generated Node #2: [2, 29, 7] from Operation: 94-87=7
Current State: 43:[2, 29, 7], Operations: ['94-87=7']
Exploring Operation: 2*7=14, Resulting Numbers: [29, 14]
Generated Node #3: [29, 14] from Operation: 2*7=14
Current State: 43:[29, 14], Operations: ['94-87=7', '2*7=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[87, 94, 2, 29], Operations: []
Exploring Operation: 87-29=58, Resulting Numbers: [94, 2, 58]
Generated Node #0,0: 43:[94, 2, 58] Operation: 87-29=58
Exploring Operation: 94/2=47, Resulting Numbers: [87, 29, 47]
Generated Node #0,1: 43:[87, 29, 47] Operation: 94/2=47
Exploring Operation: 87-2=85, Resulting Numbers: [94, 29, 85]
Generated Node #0,2: 43:[94, 29, 85] Operation: 87-2=85
Exploring Operation: 94-87=7, Resulting Numbers: [2, 29, 7]
Generated Node #0,3: 43:[2, 29, 7] Operation: 94-87=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[87, 29, 47], Operations: ['94/2=47']
Exploring Operation: 87-29=58, Resulting Numbers: [47, 58]
Generated Node #0,1,0: 43:[47, 58] Operation: 87-29=58
Exploring Operation: 47-29=18, Resulting Numbers: [87, 18]
Generated Node #0,1,1: 43:[87, 18] Operation: 47-29=18
Exploring Operation: 87/29=3, Resulting Numbers: [47, 3]
Generated Node #0,1,2: 43:[47, 3] Operation: 87/29=3
Exploring Operation: 87-47=40, Resulting Numbers: [29, 40]
Generated Node #0,1,3: 43:[29, 40] Operation: 87-47=40
Moving to Node #0,1,3
Current State: 43:[29, 40], Operations: ['94/2=47', '87-47=40']
Exploring Operation: 40-29=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 29+40=69, Resulting Numbers: [69]
69,43 unequal: No Solution
Exploring Operation: 29*40=1160, Resulting Numbers: [1160]
1160,43 unequal: No Solution
Moving to Node #0,1,0
Current State: 43:[47, 58], Operations: ['94/2=47', '87-29=58']
Exploring Operation: 47*58=2726, Resulting Numbers: [2726]
2726,43 unequal: No Solution
Exploring Operation: 47+58=105, Resulting Numbers: [105]
105,43 unequal: No Solution
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[47, 3], Operations: ['94/2=47', '87/29=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,43 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,43 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[87, 18], Operations: ['94/2=47', '47-29=18']
Exploring Operation: 87*18=1566, Resulting Numbers: [1566]
1566,43 unequal: No Solution
Exploring Operation: 87+18=105, Resulting Numbers: [105]
105,43 unequal: No Solution
Exploring Operation: 87-18=69, Resulting Numbers: [69]
69,43 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
Current State: 43:[2, 29, 7], Operations: ['94-87=7']
Exploring Operation: 29+7=36, Resulting Numbers: [2, 36]
Generated Node #0,3,0: 43:[2, 36] Operation: 29+7=36
Exploring Operation: 2+7=9, Resulting Numbers: [29, 9]
Generated Node #0,3,1: 43:[29, 9] Operation: 2+7=9
Exploring Operation: 2+29=31, Resulting Numbers: [7, 31]
Generated Node #0,3,2: 43:[7, 31] Operation: 2+29=31
Exploring Operation: 2*7=14, Resulting Numbers: [29, 14]
Generated Node #0,3,3: 43:[29, 14] Operation: 2*7=14
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 43:[29, 14], Operations: ['94-87=7', '2*7=14']
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,43 unequal: No Solution
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[87, 94, 2, 29], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [2, 29, 7]
Generated Node #0,3: 43:[2, 29, 7] Operation: 94-87=7
Moving to Node #0,3
Current State: 43:[2, 29, 7], Operations: ['94-87=7']
Exploring Operation: 2*7=14, Resulting Numbers: [29, 14]
Generated Node #0,3,3: 43:[29, 14] Operation: 2*7=14
Moving to Node #0,3,3
Current State: 43:[29, 14], Operations: ['94-87=7', '2*7=14']
Exploring Operation: 29+14=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
2,
58,
53,
57
] | 19 | [
"58-2=56",
"56-53=3",
"57/3=19"
] | Current State: 19:[2, 58, 53, 57], Operations: []
Exploring Operation: 58-2=56, Resulting Numbers: [53, 57, 56]
Generated Node #2: [53, 57, 56] from Operation: 58-2=56
Current State: 19:[53, 57, 56], Operations: ['58-2=56']
Exploring Operation: 56-53=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 56-53=3
Current State: 19:[57, 3], Operations: ['58-2=56', '56-53=3']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[2, 58, 53, 57], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [2, 57, 5]
Generated Node #0,0: 19:[2, 57, 5] Operation: 58-53=5
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[2, 57, 5], Operations: ['58-53=5']
Exploring Operation: 2*5=10, Resulting Numbers: [57, 10]
Generated Node #0,0,0: 19:[57, 10] Operation: 2*5=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[57, 10], Operations: ['58-53=5', '2*5=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
21,
51,
3,
95
] | 99 | [
"21+95=116",
"51/3=17",
"116-17=99"
] | Current State: 99:[21, 51, 3, 95], Operations: []
Exploring Operation: 21+95=116, Resulting Numbers: [51, 3, 116]
Generated Node #2: [51, 3, 116] from Operation: 21+95=116
Current State: 99:[51, 3, 116], Operations: ['21+95=116']
Exploring Operation: 51/3=17, Resulting Numbers: [116, 17]
Generated Node #3: [116, 17] from Operation: 51/3=17
Current State: 99:[116, 17], Operations: ['21+95=116', '51/3=17']
Exploring Operation: 116-17=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[21, 51, 3, 95], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [3, 95, 30]
Generated Node #0,0: 99:[3, 95, 30] Operation: 51-21=30
Moving to Node #0,0
Current State: 99:[3, 95, 30], Operations: ['51-21=30']
Exploring Operation: 3+95=98, Resulting Numbers: [30, 98]
Generated Node #0,0,0: 99:[30, 98] Operation: 3+95=98
Moving to Node #0,0,0
Current State: 99:[30, 98], Operations: ['51-21=30', '3+95=98']
Exploring Operation: 30+98=128, Resulting Numbers: [128]
128,99 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
72,
54,
21
] | 48 | [
"72-54=18",
"21-18=3",
"16*3=48"
] | Current State: 48:[16, 72, 54, 21], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [16, 21, 18]
Generated Node #2: [16, 21, 18] from Operation: 72-54=18
Current State: 48:[16, 21, 18], Operations: ['72-54=18']
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #3: [16, 3] from Operation: 21-18=3
Current State: 48:[16, 3], Operations: ['72-54=18', '21-18=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[16, 72, 54, 21], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [16, 21, 18]
Generated Node #0,0: 48:[16, 21, 18] Operation: 72-54=18
Moving to Node #0,0
Current State: 48:[16, 21, 18], Operations: ['72-54=18']
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 48:[16, 3] Operation: 21-18=3
Moving to Node #0,0,0
Current State: 48:[16, 3], Operations: ['72-54=18', '21-18=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[16, 72, 54, 21], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [16, 21, 18]
Generated Node #0,0: 48:[16, 21, 18] Operation: 72-54=18
Moving to Node #0,0
Current State: 48:[16, 21, 18], Operations: ['72-54=18']
Exploring Operation: 21-18=3, Resulting Numbers: [16, 3]
Generated Node #0,0,0: 48:[16, 3] Operation: 21-18=3
Moving to Node #0,0,0
Current State: 48:[16, 3], Operations: ['72-54=18', '21-18=3']
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
30,
66,
39,
82
] | 53 | [
"30+66=96",
"82-39=43",
"96-43=53"
] | Current State: 53:[30, 66, 39, 82], Operations: []
Exploring Operation: 30+66=96, Resulting Numbers: [39, 82, 96]
Generated Node #2: [39, 82, 96] from Operation: 30+66=96
Current State: 53:[39, 82, 96], Operations: ['30+66=96']
Exploring Operation: 82-39=43, Resulting Numbers: [96, 43]
Generated Node #3: [96, 43] from Operation: 82-39=43
Current State: 53:[96, 43], Operations: ['30+66=96', '82-39=43']
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[30, 66, 39, 82], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [66, 39, 52]
Generated Node #0,0: 53:[66, 39, 52] Operation: 82-30=52
Exploring Operation: 66-30=36, Resulting Numbers: [39, 82, 36]
Generated Node #0,1: 53:[39, 82, 36] Operation: 66-30=36
Exploring Operation: 30+39=69, Resulting Numbers: [66, 82, 69]
Generated Node #0,2: 53:[66, 82, 69] Operation: 30+39=69
Exploring Operation: 82-39=43, Resulting Numbers: [30, 66, 43]
Generated Node #0,3: 53:[30, 66, 43] Operation: 82-39=43
Exploring Operation: 82-66=16, Resulting Numbers: [30, 39, 16]
Generated Node #0,4: 53:[30, 39, 16] Operation: 82-66=16
Moving to Node #0,0
Current State: 53:[66, 39, 52], Operations: ['82-30=52']
Exploring Operation: 66-39=27, Resulting Numbers: [52, 27]
Generated Node #0,0,0: 53:[52, 27] Operation: 66-39=27
Exploring Operation: 66-52=14, Resulting Numbers: [39, 14]
Generated Node #0,0,1: 53:[39, 14] Operation: 66-52=14
Exploring Operation: 39+52=91, Resulting Numbers: [66, 91]
Generated Node #0,0,2: 53:[66, 91] Operation: 39+52=91
Exploring Operation: 66+39=105, Resulting Numbers: [52, 105]
Generated Node #0,0,3: 53:[52, 105] Operation: 66+39=105
Exploring Operation: 52-39=13, Resulting Numbers: [66, 13]
Generated Node #0,0,4: 53:[66, 13] Operation: 52-39=13
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 53:[52, 27], Operations: ['82-30=52', '66-39=27']
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 52*27=1404, Resulting Numbers: [1404]
1404,53 unequal: No Solution
Exploring Operation: 52+27=79, Resulting Numbers: [79]
79,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 53:[66, 91], Operations: ['82-30=52', '39+52=91']
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 66+91=157, Resulting Numbers: [157]
157,53 unequal: No Solution
Exploring Operation: 66*91=6006, Resulting Numbers: [6006]
6006,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[39, 14], Operations: ['82-30=52', '66-52=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,53 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,53 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[30, 66, 39, 82], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [66, 39, 52]
Generated Node #0,0: 53:[66, 39, 52] Operation: 82-30=52
Moving to Node #0,0
Current State: 53:[66, 39, 52], Operations: ['82-30=52']
Exploring Operation: 66-52=14, Resulting Numbers: [39, 14]
Generated Node #0,0,1: 53:[39, 14] Operation: 66-52=14
Moving to Node #0,0,1
Current State: 53:[39, 14], Operations: ['82-30=52', '66-52=14']
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | sum_heuristic |
[
16,
53,
21,
4
] | 33 | [
"21-16=5",
"4*5=20",
"53-20=33"
] | Current State: 33:[16, 53, 21, 4], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [53, 4, 5]
Generated Node #2: [53, 4, 5] from Operation: 21-16=5
Current State: 33:[53, 4, 5], Operations: ['21-16=5']
Exploring Operation: 4*5=20, Resulting Numbers: [53, 20]
Generated Node #3: [53, 20] from Operation: 4*5=20
Current State: 33:[53, 20], Operations: ['21-16=5', '4*5=20']
Exploring Operation: 53-20=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[16, 53, 21, 4], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [53, 4, 5]
Generated Node #0,0: 33:[53, 4, 5] Operation: 21-16=5
Exploring Operation: 53-21=32, Resulting Numbers: [16, 4, 32]
Generated Node #0,1: 33:[16, 4, 32] Operation: 53-21=32
Exploring Operation: 53-16=37, Resulting Numbers: [21, 4, 37]
Generated Node #0,2: 33:[21, 4, 37] Operation: 53-16=37
Start Sub Search at level 1: Moving to Node #0,1
Current State: 33:[16, 4, 32], Operations: ['53-21=32']
Exploring Operation: 16-4=12, Resulting Numbers: [32, 12]
Generated Node #0,1,0: 33:[32, 12] Operation: 16-4=12
Exploring Operation: 16/4=4, Resulting Numbers: [32, 4]
Generated Node #0,1,1: 33:[32, 4] Operation: 16/4=4
Exploring Operation: 32/16=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 33:[4, 2] Operation: 32/16=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 33:[32, 12], Operations: ['53-21=32', '16-4=12']
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,33 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 #0,1,1
Current State: 33:[32, 4], Operations: ['53-21=32', '16/4=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,33 unequal: No Solution
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,33 unequal: No Solution
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,33 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 #0,1,2
Current State: 33:[4, 2], Operations: ['53-21=32', '32/16=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,33 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: 33:[21, 4, 37], Operations: ['53-16=37']
Exploring Operation: 37-4=33, Resulting Numbers: [21, 33]
Generated Node #0,2,0: 33:[21, 33] Operation: 37-4=33
Exploring Operation: 21-4=17, Resulting Numbers: [37, 17]
Generated Node #0,2,1: 33:[37, 17] Operation: 21-4=17
Exploring Operation: 37-21=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 33:[4, 16] Operation: 37-21=16
Moving to Node #0,2,2
Current State: 33:[4, 16], Operations: ['53-16=37', '37-21=16']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,33 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Moving to Node #0,2,0
Current State: 33:[21, 33], Operations: ['53-16=37', '37-4=33']
Exploring Operation: 33-21=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 21*33=693, Resulting Numbers: [693]
693,33 unequal: No Solution
Exploring Operation: 21+33=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Moving to Node #0,2,1
Current State: 33:[37, 17], Operations: ['53-16=37', '21-4=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,33 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,33 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:[53, 4, 5], Operations: ['21-16=5']
Exploring Operation: 53-4=49, Resulting Numbers: [5, 49]
Generated Node #0,0,0: 33:[5, 49] Operation: 53-4=49
Exploring Operation: 53-5=48, Resulting Numbers: [4, 48]
Generated Node #0,0,1: 33:[4, 48] Operation: 53-5=48
Exploring Operation: 4+5=9, Resulting Numbers: [53, 9]
Generated Node #0,0,2: 33:[53, 9] Operation: 4+5=9
Moving to Node #0,0,1
Current State: 33:[4, 48], Operations: ['21-16=5', '53-5=48']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,33 unequal: No Solution
Exploring Operation: 4+48=52, Resulting Numbers: [52]
52,33 unequal: No Solution
Exploring Operation: 48-4=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[5, 49], Operations: ['21-16=5', '53-4=49']
Exploring Operation: 5+49=54, Resulting Numbers: [54]
54,33 unequal: No Solution
Exploring Operation: 49-5=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 5*49=245, Resulting Numbers: [245]
245,33 unequal: No Solution
Moving to Node #0,0,2
Current State: 33:[53, 9], Operations: ['21-16=5', '4+5=9']
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,33 unequal: No Solution
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,33 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,33 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 |
[
71,
72,
58,
75
] | 39 | [
"71-58=13",
"75-72=3",
"13*3=39"
] | Current State: 39:[71, 72, 58, 75], Operations: []
Exploring Operation: 71-58=13, Resulting Numbers: [72, 75, 13]
Generated Node #2: [72, 75, 13] from Operation: 71-58=13
Current State: 39:[72, 75, 13], Operations: ['71-58=13']
Exploring Operation: 75-72=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 75-72=3
Current State: 39:[13, 3], Operations: ['71-58=13', '75-72=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[71, 72, 58, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [71, 58, 3]
Generated Node #0,0: 39:[71, 58, 3] Operation: 75-72=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 39:[71, 58, 3], Operations: ['75-72=3']
Exploring Operation: 71-58=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 39:[3, 13] Operation: 71-58=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 39:[3, 13], Operations: ['75-72=3', '71-58=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[71, 72, 58, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [71, 58, 3]
Generated Node #0,0: 39:[71, 58, 3] Operation: 75-72=3
Moving to Node #0,0
Current State: 39:[71, 58, 3], Operations: ['75-72=3']
Exploring Operation: 71-58=13, Resulting Numbers: [3, 13]
Generated Node #0,0,0: 39:[3, 13] Operation: 71-58=13
Moving to Node #0,0,0
Current State: 39:[3, 13], Operations: ['75-72=3', '71-58=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
64,
30,
13,
49
] | 60 | [
"64-13=51",
"51-49=2",
"30*2=60"
] | Current State: 60:[64, 30, 13, 49], Operations: []
Exploring Operation: 64-13=51, Resulting Numbers: [30, 49, 51]
Generated Node #2: [30, 49, 51] from Operation: 64-13=51
Current State: 60:[30, 49, 51], Operations: ['64-13=51']
Exploring Operation: 51-49=2, Resulting Numbers: [30, 2]
Generated Node #3: [30, 2] from Operation: 51-49=2
Current State: 60:[30, 2], Operations: ['64-13=51', '51-49=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[64, 30, 13, 49], Operations: []
Exploring Operation: 64-30=34, Resulting Numbers: [13, 49, 34]
Generated Node #0,0: 60:[13, 49, 34] Operation: 64-30=34
Exploring Operation: 49-13=36, Resulting Numbers: [64, 30, 36]
Generated Node #0,1: 60:[64, 30, 36] Operation: 49-13=36
Exploring Operation: 64-49=15, Resulting Numbers: [30, 13, 15]
Generated Node #0,2: 60:[30, 13, 15] Operation: 64-49=15
Exploring Operation: 13+49=62, Resulting Numbers: [64, 30, 62]
Generated Node #0,3: 60:[64, 30, 62] Operation: 13+49=62
Exploring Operation: 49-30=19, Resulting Numbers: [64, 13, 19]
Generated Node #0,4: 60:[64, 13, 19] Operation: 49-30=19
Moving to Node #0,2
Current State: 60:[30, 13, 15], Operations: ['64-49=15']
Exploring Operation: 30/15=2, Resulting Numbers: [13, 2]
Generated Node #0,2,0: 60:[13, 2] Operation: 30/15=2
Exploring Operation: 30-15=15, Resulting Numbers: [13, 15]
Generated Node #0,2,1: 60:[13, 15] Operation: 30-15=15
Exploring Operation: 13+15=28, Resulting Numbers: [30, 28]
Generated Node #0,2,2: 60:[30, 28] Operation: 13+15=28
Exploring Operation: 15-13=2, Resulting Numbers: [30, 2]
Generated Node #0,2,3: 60:[30, 2] Operation: 15-13=2
Exploring Operation: 30-13=17, Resulting Numbers: [15, 17]
Generated Node #0,2,4: 60:[15, 17] Operation: 30-13=17
Moving to Node #0,4
Current State: 60:[64, 13, 19], Operations: ['49-30=19']
Exploring Operation: 19-13=6, Resulting Numbers: [64, 6]
Generated Node #0,4,0: 60:[64, 6] Operation: 19-13=6
Exploring Operation: 64-13=51, Resulting Numbers: [19, 51]
Generated Node #0,4,1: 60:[19, 51] Operation: 64-13=51
Exploring Operation: 64+13=77, Resulting Numbers: [19, 77]
Generated Node #0,4,2: 60:[19, 77] Operation: 64+13=77
Exploring Operation: 64-19=45, Resulting Numbers: [13, 45]
Generated Node #0,4,3: 60:[13, 45] Operation: 64-19=45
Exploring Operation: 13+19=32, Resulting Numbers: [64, 32]
Generated Node #0,4,4: 60:[64, 32] Operation: 13+19=32
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 60:[64, 6], Operations: ['49-30=19', '19-13=6']
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,60 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 60:[64, 32], Operations: ['49-30=19', '13+19=32']
Exploring Operation: 64/32=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 64-32=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 64+32=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 64*32=2048, Resulting Numbers: [2048]
2048,60 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 #0,4,1
Current State: 60:[19, 51], Operations: ['49-30=19', '64-13=51']
Exploring Operation: 19+51=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 19*51=969, Resulting Numbers: [969]
969,60 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 #0,4,3
Current State: 60:[13, 45], Operations: ['49-30=19', '64-19=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 13*45=585, Resulting Numbers: [585]
585,60 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,60 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 #0,4,2
Current State: 60:[19, 77], Operations: ['49-30=19', '64+13=77']
Exploring Operation: 19*77=1463, Resulting Numbers: [1463]
1463,60 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 19+77=96, Resulting Numbers: [96]
96,60 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: 60:[64, 30, 62], Operations: ['13+49=62']
Exploring Operation: 64-62=2, Resulting Numbers: [30, 2]
Generated Node #0,3,0: 60:[30, 2] Operation: 64-62=2
Exploring Operation: 30+62=92, Resulting Numbers: [64, 92]
Generated Node #0,3,1: 60:[64, 92] Operation: 30+62=92
Exploring Operation: 64-30=34, Resulting Numbers: [62, 34]
Generated Node #0,3,2: 60:[62, 34] Operation: 64-30=34
Exploring Operation: 62-30=32, Resulting Numbers: [64, 32]
Generated Node #0,3,3: 60:[64, 32] Operation: 62-30=32
Exploring Operation: 64+30=94, Resulting Numbers: [62, 94]
Generated Node #0,3,4: 60:[62, 94] Operation: 64+30=94
Moving to Node #0,1
Current State: 60:[64, 30, 36], Operations: ['49-13=36']
Exploring Operation: 36-30=6, Resulting Numbers: [64, 6]
Generated Node #0,1,0: 60:[64, 6] Operation: 36-30=6
Exploring Operation: 30+36=66, Resulting Numbers: [64, 66]
Generated Node #0,1,1: 60:[64, 66] Operation: 30+36=66
Exploring Operation: 64-30=34, Resulting Numbers: [36, 34]
Generated Node #0,1,2: 60:[36, 34] Operation: 64-30=34
Exploring Operation: 64+30=94, Resulting Numbers: [36, 94]
Generated Node #0,1,3: 60:[36, 94] Operation: 64+30=94
Exploring Operation: 64-36=28, Resulting Numbers: [30, 28]
Generated Node #0,1,4: 60:[30, 28] Operation: 64-36=28
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 60:[30, 28], Operations: ['49-13=36', '64-36=28']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,60 unequal: No Solution
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,60 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:[64, 6], Operations: ['49-13=36', '36-30=6']
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,60 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 60:[64, 66], Operations: ['49-13=36', '30+36=66']
Exploring Operation: 64+66=130, Resulting Numbers: [130]
130,60 unequal: No Solution
Exploring Operation: 64*66=4224, Resulting Numbers: [4224]
4224,60 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,60 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:[36, 34], Operations: ['49-13=36', '64-30=34']
Exploring Operation: 36+34=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 36*34=1224, Resulting Numbers: [1224]
1224,60 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 #0,1,3
Current State: 60:[36, 94], Operations: ['49-13=36', '64+30=94']
Exploring Operation: 94-36=58, Resulting Numbers: [58]
58,60 unequal: No Solution
Exploring Operation: 36*94=3384, Resulting Numbers: [3384]
3384,60 unequal: No Solution
Exploring Operation: 36+94=130, Resulting Numbers: [130]
130,60 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: 60:[13, 49, 34], Operations: ['64-30=34']
Exploring Operation: 49-34=15, Resulting Numbers: [13, 15]
Generated Node #0,0,0: 60:[13, 15] Operation: 49-34=15
Exploring Operation: 13+34=47, Resulting Numbers: [49, 47]
Generated Node #0,0,1: 60:[49, 47] Operation: 13+34=47
Exploring Operation: 34-13=21, Resulting Numbers: [49, 21]
Generated Node #0,0,2: 60:[49, 21] Operation: 34-13=21
Exploring Operation: 49-13=36, Resulting Numbers: [34, 36]
Generated Node #0,0,3: 60:[34, 36] Operation: 49-13=36
Exploring Operation: 13+49=62, Resulting Numbers: [34, 62]
Generated Node #0,0,4: 60:[34, 62] Operation: 13+49=62
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[13, 15], Operations: ['64-30=34', '49-34=15']
Exploring Operation: 13*15=195, Resulting Numbers: [195]
195,60 unequal: No Solution
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 13+15=28, Resulting Numbers: [28]
28,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 60:[34, 62], Operations: ['64-30=34', '13+49=62']
Exploring Operation: 62-34=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 34+62=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Exploring Operation: 34*62=2108, Resulting Numbers: [2108]
2108,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 60:[34, 36], Operations: ['64-30=34', '49-13=36']
Exploring Operation: 34+36=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 36-34=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 34*36=1224, Resulting Numbers: [1224]
1224,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 60:[49, 21], Operations: ['64-30=34', '34-13=21']
Exploring Operation: 49*21=1029, Resulting Numbers: [1029]
1029,60 unequal: No Solution
Exploring Operation: 49+21=70, Resulting Numbers: [70]
70,60 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[49, 47], Operations: ['64-30=34', '13+34=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,60 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 60:[30, 2], Operations: ['64-49=15', '15-13=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[64, 30, 13, 49], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [30, 13, 15]
Generated Node #0,2: 60:[30, 13, 15] Operation: 64-49=15
Moving to Node #0,2
Current State: 60:[30, 13, 15], Operations: ['64-49=15']
Exploring Operation: 15-13=2, Resulting Numbers: [30, 2]
Generated Node #0,2,3: 60:[30, 2] Operation: 15-13=2
Moving to Node #0,2,3
Current State: 60:[30, 2], Operations: ['64-49=15', '15-13=2']
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.927951 | hs_5 | sum_heuristic |
[
27,
45,
15,
26
] | 50 | [
"27+26=53",
"45/15=3",
"53-3=50"
] | Current State: 50:[27, 45, 15, 26], Operations: []
Exploring Operation: 27+26=53, Resulting Numbers: [45, 15, 53]
Generated Node #2: [45, 15, 53] from Operation: 27+26=53
Current State: 50:[45, 15, 53], Operations: ['27+26=53']
Exploring Operation: 45/15=3, Resulting Numbers: [53, 3]
Generated Node #3: [53, 3] from Operation: 45/15=3
Current State: 50:[53, 3], Operations: ['27+26=53', '45/15=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[27, 45, 15, 26], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [27, 26, 3]
Generated Node #0,0: 50:[27, 26, 3] Operation: 45/15=3
Exploring Operation: 27-15=12, Resulting Numbers: [45, 26, 12]
Generated Node #0,1: 50:[45, 26, 12] Operation: 27-15=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[27, 26, 3], Operations: ['45/15=3']
Exploring Operation: 27-26=1, Resulting Numbers: [3, 1]
Generated Node #0,0,0: 50:[3, 1] Operation: 27-26=1
Exploring Operation: 27-3=24, Resulting Numbers: [26, 24]
Generated Node #0,0,1: 50:[26, 24] Operation: 27-3=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 50:[3, 1], Operations: ['45/15=3', '27-26=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 50:[26, 24], Operations: ['45/15=3', '27-3=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[27, 45, 15, 26], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [27, 26, 3]
Generated Node #0,0: 50:[27, 26, 3] Operation: 45/15=3
Moving to Node #0,0
Current State: 50:[27, 26, 3], Operations: ['45/15=3']
Exploring Operation: 27-3=24, Resulting Numbers: [26, 24]
Generated Node #0,0,1: 50:[26, 24] Operation: 27-3=24
Moving to Node #0,0,1
Current State: 50:[26, 24], Operations: ['45/15=3', '27-3=24']
Exploring Operation: 26+24=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
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