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 |
|---|---|---|---|---|---|---|---|---|
[
59,
4,
56,
60
] | 75 | [
"60-56=4",
"4*4=16",
"59+16=75"
] | Current State: 75:[59, 4, 56, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [59, 4, 4]
Generated Node #2: [59, 4, 4] from Operation: 60-56=4
Current State: 75:[59, 4, 4], Operations: ['60-56=4']
Exploring Operation: 4*4=16, Resulting Numbers: [59, 16]
Generated Node #3: [59, 16] from Operation: 4*4=16
Current State: 75:[59, 16], Operations: ['60-56=4', '4*4=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[59, 4, 56, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [59, 4, 4]
Generated Node #0,0: 75:[59, 4, 4] Operation: 60-56=4
Exploring Operation: 60-59=1, Resulting Numbers: [4, 56, 1]
Generated Node #0,1: 75:[4, 56, 1] Operation: 60-59=1
Exploring Operation: 56/4=14, Resulting Numbers: [59, 60, 14]
Generated Node #0,2: 75:[59, 60, 14] Operation: 56/4=14
Exploring Operation: 59-56=3, Resulting Numbers: [4, 60, 3]
Generated Node #0,3: 75:[4, 60, 3] Operation: 59-56=3
Start Sub Search at level 1: Moving to Node #0,3
Current State: 75:[4, 60, 3], Operations: ['59-56=3']
Exploring Operation: 60/3=20, Resulting Numbers: [4, 20]
Generated Node #0,3,0: 75:[4, 20] Operation: 60/3=20
Exploring Operation: 60+3=63, Resulting Numbers: [4, 63]
Generated Node #0,3,1: 75:[4, 63] Operation: 60+3=63
Exploring Operation: 4+60=64, Resulting Numbers: [3, 64]
Generated Node #0,3,2: 75:[3, 64] Operation: 4+60=64
Exploring Operation: 60/4=15, Resulting Numbers: [3, 15]
Generated Node #0,3,3: 75:[3, 15] Operation: 60/4=15
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 75:[3, 15], Operations: ['59-56=3', '60/4=15']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,75 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,75 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 75:[4, 20], Operations: ['59-56=3', '60/3=20']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,75 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,75 unequal: No Solution
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,75 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 75:[3, 64], Operations: ['59-56=3', '4+60=64']
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,75 unequal: No Solution
Exploring Operation: 3*64=192, Resulting Numbers: [192]
192,75 unequal: No Solution
Exploring Operation: 3+64=67, Resulting Numbers: [67]
67,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 75:[4, 63], Operations: ['59-56=3', '60+3=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,75 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[59, 4, 4], Operations: ['60-56=4']
Exploring Operation: 4/4=1, Resulting Numbers: [59, 1]
Generated Node #0,0,0: 75:[59, 1] Operation: 4/4=1
Exploring Operation: 59+4=63, Resulting Numbers: [4, 63]
Generated Node #0,0,1: 75:[4, 63] Operation: 59+4=63
Exploring Operation: 4*4=16, Resulting Numbers: [59, 16]
Generated Node #0,0,2: 75:[59, 16] Operation: 4*4=16
Exploring Operation: 59+4=63, Resulting Numbers: [4, 63]
Generated Node #0,0,3: 75:[4, 63] Operation: 59+4=63
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 75:[4, 63], Operations: ['60-56=4', '59+4=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,75 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 75:[4, 63], Operations: ['60-56=4', '59+4=63']
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,75 unequal: No Solution
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 75:[59, 16], Operations: ['60-56=4', '4*4=16']
Exploring Operation: 59*16=944, Resulting Numbers: [944]
944,75 unequal: No Solution
Exploring Operation: 59-16=43, Resulting Numbers: [43]
43,75 unequal: No Solution
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[59, 4, 56, 60], Operations: []
Exploring Operation: 60-56=4, Resulting Numbers: [59, 4, 4]
Generated Node #0,0: 75:[59, 4, 4] Operation: 60-56=4
Moving to Node #0,0
Current State: 75:[59, 4, 4], Operations: ['60-56=4']
Exploring Operation: 4*4=16, Resulting Numbers: [59, 16]
Generated Node #0,0,2: 75:[59, 16] Operation: 4*4=16
Moving to Node #0,0,2
Current State: 75:[59, 16], Operations: ['60-56=4', '4*4=16']
Exploring Operation: 59+16=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
19,
2,
74,
3
] | 93 | [
"19+74=93",
"3-2=1",
"93*1=93"
] | Current State: 93:[19, 2, 74, 3], Operations: []
Exploring Operation: 19+74=93, Resulting Numbers: [2, 3, 93]
Generated Node #2: [2, 3, 93] from Operation: 19+74=93
Current State: 93:[2, 3, 93], Operations: ['19+74=93']
Exploring Operation: 3-2=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 3-2=1
Current State: 93:[93, 1], Operations: ['19+74=93', '3-2=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[19, 2, 74, 3], Operations: []
Exploring Operation: 74-19=55, Resulting Numbers: [2, 3, 55]
Generated Node #0,0: 93:[2, 3, 55] Operation: 74-19=55
Exploring Operation: 19+74=93, Resulting Numbers: [2, 3, 93]
Generated Node #0,1: 93:[2, 3, 93] Operation: 19+74=93
Exploring Operation: 19+2=21, Resulting Numbers: [74, 3, 21]
Generated Node #0,2: 93:[74, 3, 21] Operation: 19+2=21
Exploring Operation: 19*2=38, Resulting Numbers: [74, 3, 38]
Generated Node #0,3: 93:[74, 3, 38] Operation: 19*2=38
Exploring Operation: 74/2=37, Resulting Numbers: [19, 3, 37]
Generated Node #0,4: 93:[19, 3, 37] Operation: 74/2=37
Moving to Node #0,1
Current State: 93:[2, 3, 93], Operations: ['19+74=93']
Exploring Operation: 2+3=5, Resulting Numbers: [93, 5]
Generated Node #0,1,0: 93:[93, 5] Operation: 2+3=5
Exploring Operation: 93-2=91, Resulting Numbers: [3, 91]
Generated Node #0,1,1: 93:[3, 91] Operation: 93-2=91
Exploring Operation: 3-2=1, Resulting Numbers: [93, 1]
Generated Node #0,1,2: 93:[93, 1] Operation: 3-2=1
Exploring Operation: 93/3=31, Resulting Numbers: [2, 31]
Generated Node #0,1,3: 93:[2, 31] Operation: 93/3=31
Exploring Operation: 2+93=95, Resulting Numbers: [3, 95]
Generated Node #0,1,4: 93:[3, 95] Operation: 2+93=95
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[2, 31], Operations: ['19+74=93', '93/3=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,93 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 #0,1,0
Current State: 93:[93, 5], Operations: ['19+74=93', '2+3=5']
Exploring Operation: 93+5=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 93*5=465, Resulting Numbers: [465]
465,93 unequal: No Solution
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,93 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 #0,1,1
Current State: 93:[3, 91], Operations: ['19+74=93', '93-2=91']
Exploring Operation: 3+91=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 91-3=88, Resulting Numbers: [88]
88,93 unequal: No Solution
Exploring Operation: 3*91=273, Resulting Numbers: [273]
273,93 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 #0,1,2
Current State: 93:[93, 1], Operations: ['19+74=93', '3-2=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[19, 2, 74, 3], Operations: []
Exploring Operation: 19+74=93, Resulting Numbers: [2, 3, 93]
Generated Node #0,1: 93:[2, 3, 93] Operation: 19+74=93
Moving to Node #0,1
Current State: 93:[2, 3, 93], Operations: ['19+74=93']
Exploring Operation: 3-2=1, Resulting Numbers: [93, 1]
Generated Node #0,1,2: 93:[93, 1] Operation: 3-2=1
Moving to Node #0,1,2
Current State: 93:[93, 1], Operations: ['19+74=93', '3-2=1']
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_5 | mult_heuristic |
[
85,
65,
87,
41
] | 89 | [
"87-85=2",
"65*2=130",
"130-41=89"
] | Current State: 89:[85, 65, 87, 41], Operations: []
Exploring Operation: 87-85=2, Resulting Numbers: [65, 41, 2]
Generated Node #2: [65, 41, 2] from Operation: 87-85=2
Current State: 89:[65, 41, 2], Operations: ['87-85=2']
Exploring Operation: 65*2=130, Resulting Numbers: [41, 130]
Generated Node #3: [41, 130] from Operation: 65*2=130
Current State: 89:[41, 130], Operations: ['87-85=2', '65*2=130']
Exploring Operation: 130-41=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[85, 65, 87, 41], Operations: []
Exploring Operation: 85+41=126, Resulting Numbers: [65, 87, 126]
Generated Node #0,0: 89:[65, 87, 126] Operation: 85+41=126
Exploring Operation: 87+41=128, Resulting Numbers: [85, 65, 128]
Generated Node #0,1: 89:[85, 65, 128] Operation: 87+41=128
Exploring Operation: 65+41=106, Resulting Numbers: [85, 87, 106]
Generated Node #0,2: 89:[85, 87, 106] Operation: 65+41=106
Moving to Node #0,2
Current State: 89:[85, 87, 106], Operations: ['65+41=106']
Exploring Operation: 85+87=172, Resulting Numbers: [106, 172]
Generated Node #0,2,0: 89:[106, 172] Operation: 85+87=172
Exploring Operation: 106-85=21, Resulting Numbers: [87, 21]
Generated Node #0,2,1: 89:[87, 21] Operation: 106-85=21
Exploring Operation: 106-87=19, Resulting Numbers: [85, 19]
Generated Node #0,2,2: 89:[85, 19] Operation: 106-87=19
Moving to Node #0,0
Current State: 89:[65, 87, 126], Operations: ['85+41=126']
Exploring Operation: 126-65=61, Resulting Numbers: [87, 61]
Generated Node #0,0,0: 89:[87, 61] Operation: 126-65=61
Exploring Operation: 65+87=152, Resulting Numbers: [126, 152]
Generated Node #0,0,1: 89:[126, 152] Operation: 65+87=152
Exploring Operation: 126-87=39, Resulting Numbers: [65, 39]
Generated Node #0,0,2: 89:[65, 39] Operation: 126-87=39
Moving to Node #0,1
Current State: 89:[85, 65, 128], Operations: ['87+41=128']
Exploring Operation: 85+65=150, Resulting Numbers: [128, 150]
Generated Node #0,1,0: 89:[128, 150] Operation: 85+65=150
Exploring Operation: 128-85=43, Resulting Numbers: [65, 43]
Generated Node #0,1,1: 89:[65, 43] Operation: 128-85=43
Exploring Operation: 128-65=63, Resulting Numbers: [85, 63]
Generated Node #0,1,2: 89:[85, 63] Operation: 128-65=63
Moving to Node #0,0,0
Current State: 89:[87, 61], Operations: ['85+41=126', '126-65=61']
Exploring Operation: 87+61=148, Resulting Numbers: [148]
148,89 unequal: No Solution
Exploring Operation: 87*61=5307, Resulting Numbers: [5307]
5307,89 unequal: No Solution
Exploring Operation: 87-61=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[85, 63], Operations: ['87+41=128', '128-65=63']
Exploring Operation: 85*63=5355, Resulting Numbers: [5355]
5355,89 unequal: No Solution
Exploring Operation: 85+63=148, Resulting Numbers: [148]
148,89 unequal: No Solution
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[87, 21], Operations: ['65+41=106', '106-85=21']
Exploring Operation: 87*21=1827, Resulting Numbers: [1827]
1827,89 unequal: No Solution
Exploring Operation: 87+21=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 87-21=66, Resulting Numbers: [66]
66,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[65, 43], Operations: ['87+41=128', '128-85=43']
Exploring Operation: 65+43=108, Resulting Numbers: [108]
108,89 unequal: No Solution
Exploring Operation: 65*43=2795, Resulting Numbers: [2795]
2795,89 unequal: No Solution
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[65, 39], Operations: ['85+41=126', '126-87=39']
Exploring Operation: 65*39=2535, Resulting Numbers: [2535]
2535,89 unequal: No Solution
Exploring Operation: 65-39=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 65+39=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Moving to Node #0,2,2
Current State: 89:[85, 19], Operations: ['65+41=106', '106-87=19']
Exploring Operation: 85*19=1615, Resulting Numbers: [1615]
1615,89 unequal: No Solution
Exploring Operation: 85+19=104, Resulting Numbers: [104]
104,89 unequal: No Solution
Exploring Operation: 85-19=66, Resulting Numbers: [66]
66,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[106, 172], Operations: ['65+41=106', '85+87=172']
Exploring Operation: 106+172=278, Resulting Numbers: [278]
278,89 unequal: No Solution
Exploring Operation: 172-106=66, Resulting Numbers: [66]
66,89 unequal: No Solution
Exploring Operation: 106*172=18232, Resulting Numbers: [18232]
18232,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[126, 152], Operations: ['85+41=126', '65+87=152']
Exploring Operation: 152-126=26, Resulting Numbers: [26]
26,89 unequal: No Solution
Exploring Operation: 126+152=278, Resulting Numbers: [278]
278,89 unequal: No Solution
Exploring Operation: 126*152=19152, Resulting Numbers: [19152]
19152,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[128, 150], Operations: ['87+41=128', '85+65=150']
Exploring Operation: 150-128=22, Resulting Numbers: [22]
22,89 unequal: No Solution
Exploring Operation: 128*150=19200, Resulting Numbers: [19200]
19200,89 unequal: No Solution
Exploring Operation: 128+150=278, Resulting Numbers: [278]
278,89 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
37,
72,
3,
1
] | 76 | [
"3+1=4",
"37*4=148",
"148-72=76"
] | Current State: 76:[37, 72, 3, 1], Operations: []
Exploring Operation: 3+1=4, Resulting Numbers: [37, 72, 4]
Generated Node #2: [37, 72, 4] from Operation: 3+1=4
Current State: 76:[37, 72, 4], Operations: ['3+1=4']
Exploring Operation: 37*4=148, Resulting Numbers: [72, 148]
Generated Node #3: [72, 148] from Operation: 37*4=148
Current State: 76:[72, 148], Operations: ['3+1=4', '37*4=148']
Exploring Operation: 148-72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[37, 72, 3, 1], Operations: []
Exploring Operation: 37+1=38, Resulting Numbers: [72, 3, 38]
Generated Node #0,0: 76:[72, 3, 38] Operation: 37+1=38
Exploring Operation: 72+3=75, Resulting Numbers: [37, 1, 75]
Generated Node #0,1: 76:[37, 1, 75] Operation: 72+3=75
Exploring Operation: 72+1=73, Resulting Numbers: [37, 3, 73]
Generated Node #0,2: 76:[37, 3, 73] Operation: 72+1=73
Exploring Operation: 72-37=35, Resulting Numbers: [3, 1, 35]
Generated Node #0,3: 76:[3, 1, 35] Operation: 72-37=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[37, 1, 75], Operations: ['72+3=75']
Exploring Operation: 37*1=37, Resulting Numbers: [75, 37]
Generated Node #0,1,0: 76:[75, 37] Operation: 37*1=37
Exploring Operation: 37+1=38, Resulting Numbers: [75, 38]
Generated Node #0,1,1: 76:[75, 38] Operation: 37+1=38
Exploring Operation: 75-37=38, Resulting Numbers: [1, 38]
Generated Node #0,1,2: 76:[1, 38] Operation: 75-37=38
Exploring Operation: 1+75=76, Resulting Numbers: [37, 76]
Generated Node #0,1,3: 76:[37, 76] Operation: 1+75=76
Moving to Node #0,1,1
Current State: 76:[75, 38], Operations: ['72+3=75', '37+1=38']
Exploring Operation: 75*38=2850, Resulting Numbers: [2850]
2850,76 unequal: No Solution
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[37, 76], Operations: ['72+3=75', '1+75=76']
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 37*76=2812, Resulting Numbers: [2812]
2812,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[1, 38], Operations: ['72+3=75', '75-37=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[75, 37], Operations: ['72+3=75', '37*1=37']
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,76 unequal: No Solution
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[72, 3, 38], Operations: ['37+1=38']
Exploring Operation: 72+3=75, Resulting Numbers: [38, 75]
Generated Node #0,0,0: 76:[38, 75] Operation: 72+3=75
Exploring Operation: 72-3=69, Resulting Numbers: [38, 69]
Generated Node #0,0,1: 76:[38, 69] Operation: 72-3=69
Exploring Operation: 72/3=24, Resulting Numbers: [38, 24]
Generated Node #0,0,2: 76:[38, 24] Operation: 72/3=24
Exploring Operation: 72-38=34, Resulting Numbers: [3, 34]
Generated Node #0,0,3: 76:[3, 34] Operation: 72-38=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[38, 75], Operations: ['37+1=38', '72+3=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 38*75=2850, Resulting Numbers: [2850]
2850,76 unequal: No Solution
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,76 unequal: No Solution
No 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: 76:[38, 24], Operations: ['37+1=38', '72/3=24']
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,76 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,76 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,76 unequal: No Solution
No 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: 76:[3, 34], Operations: ['37+1=38', '72-38=34']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 3*34=102, Resulting Numbers: [102]
102,76 unequal: No Solution
Exploring Operation: 3+34=37, Resulting Numbers: [37]
37,76 unequal: No Solution
No 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: 76:[38, 69], Operations: ['37+1=38', '72-3=69']
Exploring Operation: 38+69=107, Resulting Numbers: [107]
107,76 unequal: No Solution
Exploring Operation: 38*69=2622, Resulting Numbers: [2622]
2622,76 unequal: No Solution
Exploring Operation: 69-38=31, Resulting Numbers: [31]
31,76 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 76:[37, 3, 73], Operations: ['72+1=73']
Exploring Operation: 73-37=36, Resulting Numbers: [3, 36]
Generated Node #0,2,0: 76:[3, 36] Operation: 73-37=36
Exploring Operation: 3+73=76, Resulting Numbers: [37, 76]
Generated Node #0,2,1: 76:[37, 76] Operation: 3+73=76
Exploring Operation: 37+3=40, Resulting Numbers: [73, 40]
Generated Node #0,2,2: 76:[73, 40] Operation: 37+3=40
Exploring Operation: 37-3=34, Resulting Numbers: [73, 34]
Generated Node #0,2,3: 76:[73, 34] Operation: 37-3=34
Moving to Node #0,2,1
Current State: 76:[37, 76], Operations: ['72+1=73', '3+73=76']
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 37+76=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 37*76=2812, Resulting Numbers: [2812]
2812,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[3, 36], Operations: ['72+1=73', '73-37=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,76 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[73, 40], Operations: ['72+1=73', '37+3=40']
Exploring Operation: 73+40=113, Resulting Numbers: [113]
113,76 unequal: No Solution
Exploring Operation: 73-40=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 73*40=2920, Resulting Numbers: [2920]
2920,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[73, 34], Operations: ['72+1=73', '37-3=34']
Exploring Operation: 73+34=107, Resulting Numbers: [107]
107,76 unequal: No Solution
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 73*34=2482, Resulting Numbers: [2482]
2482,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 76:[3, 1, 35], Operations: ['72-37=35']
Exploring Operation: 3+1=4, Resulting Numbers: [35, 4]
Generated Node #0,3,0: 76:[35, 4] Operation: 3+1=4
Exploring Operation: 3-1=2, Resulting Numbers: [35, 2]
Generated Node #0,3,1: 76:[35, 2] Operation: 3-1=2
Exploring Operation: 3+35=38, Resulting Numbers: [1, 38]
Generated Node #0,3,2: 76:[1, 38] Operation: 3+35=38
Exploring Operation: 1+35=36, Resulting Numbers: [3, 36]
Generated Node #0,3,3: 76:[3, 36] Operation: 1+35=36
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 76:[1, 38], Operations: ['72-37=35', '3+35=38']
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,76 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,76 unequal: No Solution
No 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: 76:[35, 4], Operations: ['72-37=35', '3+1=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,76 unequal: No Solution
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,76 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,76 unequal: No Solution
No 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: 76:[35, 2], Operations: ['72-37=35', '3-1=2']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 35+2=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,76 unequal: No Solution
No 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: 76:[3, 36], Operations: ['72-37=35', '1+35=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,76 unequal: No Solution
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,76 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_4 | sum_heuristic |
[
19,
33,
65,
95
] | 27 | [
"95/19=5",
"65-33=32",
"32-5=27"
] | Current State: 27:[19, 33, 65, 95], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [33, 65, 5]
Generated Node #2: [33, 65, 5] from Operation: 95/19=5
Current State: 27:[33, 65, 5], Operations: ['95/19=5']
Exploring Operation: 65-33=32, Resulting Numbers: [5, 32]
Generated Node #3: [5, 32] from Operation: 65-33=32
Current State: 27:[5, 32], Operations: ['95/19=5', '65-33=32']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[19, 33, 65, 95], Operations: []
Exploring Operation: 95-65=30, Resulting Numbers: [19, 33, 30]
Generated Node #0,0: 27:[19, 33, 30] Operation: 95-65=30
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[19, 33, 30], Operations: ['95-65=30']
Exploring Operation: 33-19=14, Resulting Numbers: [30, 14]
Generated Node #0,0,0: 27:[30, 14] Operation: 33-19=14
Moving to Node #0,0,0
Current State: 27:[30, 14], Operations: ['95-65=30', '33-19=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,27 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 |
[
74,
28,
8,
22
] | 84 | [
"74-8=66",
"28*66=1848",
"1848/22=84"
] | Current State: 84:[74, 28, 8, 22], Operations: []
Exploring Operation: 74-8=66, Resulting Numbers: [28, 22, 66]
Generated Node #2: [28, 22, 66] from Operation: 74-8=66
Current State: 84:[28, 22, 66], Operations: ['74-8=66']
Exploring Operation: 28*66=1848, Resulting Numbers: [22, 1848]
Generated Node #3: [22, 1848] from Operation: 28*66=1848
Current State: 84:[22, 1848], Operations: ['74-8=66', '28*66=1848']
Exploring Operation: 1848/22=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[74, 28, 8, 22], Operations: []
Exploring Operation: 74+8=82, Resulting Numbers: [28, 22, 82]
Generated Node #0,0: 84:[28, 22, 82] Operation: 74+8=82
Exploring Operation: 74-28=46, Resulting Numbers: [8, 22, 46]
Generated Node #0,1: 84:[8, 22, 46] Operation: 74-28=46
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[28, 22, 82], Operations: ['74+8=82']
Exploring Operation: 28+22=50, Resulting Numbers: [82, 50]
Generated Node #0,0,0: 84:[82, 50] Operation: 28+22=50
Exploring Operation: 28-22=6, Resulting Numbers: [82, 6]
Generated Node #0,0,1: 84:[82, 6] Operation: 28-22=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[82, 6], Operations: ['74+8=82', '28-22=6']
Exploring Operation: 82-6=76, Resulting Numbers: [76]
76,84 unequal: No Solution
Exploring Operation: 82+6=88, Resulting Numbers: [88]
88,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[82, 50], Operations: ['74+8=82', '28+22=50']
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 82+50=132, Resulting Numbers: [132]
132,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[8, 22, 46], Operations: ['74-28=46']
Exploring Operation: 46-22=24, Resulting Numbers: [8, 24]
Generated Node #0,1,0: 84:[8, 24] Operation: 46-22=24
Exploring Operation: 22-8=14, Resulting Numbers: [46, 14]
Generated Node #0,1,1: 84:[46, 14] Operation: 22-8=14
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[8, 24], Operations: ['74-28=46', '46-22=24']
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[46, 14], Operations: ['74-28=46', '22-8=14']
Exploring Operation: 46-14=32, Resulting Numbers: [32]
32,84 unequal: No Solution
Exploring Operation: 46+14=60, Resulting Numbers: [60]
60,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
66,
70,
27,
74
] | 89 | [
"66+70=136",
"74-27=47",
"136-47=89"
] | Current State: 89:[66, 70, 27, 74], Operations: []
Exploring Operation: 66+70=136, Resulting Numbers: [27, 74, 136]
Generated Node #2: [27, 74, 136] from Operation: 66+70=136
Current State: 89:[27, 74, 136], Operations: ['66+70=136']
Exploring Operation: 74-27=47, Resulting Numbers: [136, 47]
Generated Node #3: [136, 47] from Operation: 74-27=47
Current State: 89:[136, 47], Operations: ['66+70=136', '74-27=47']
Exploring Operation: 136-47=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[66, 70, 27, 74], Operations: []
Exploring Operation: 66+27=93, Resulting Numbers: [70, 74, 93]
Generated Node #0,0: 89:[70, 74, 93] Operation: 66+27=93
Exploring Operation: 70+27=97, Resulting Numbers: [66, 74, 97]
Generated Node #0,1: 89:[66, 74, 97] Operation: 70+27=97
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[70, 74, 93], Operations: ['66+27=93']
Exploring Operation: 93-70=23, Resulting Numbers: [74, 23]
Generated Node #0,0,0: 89:[74, 23] Operation: 93-70=23
Exploring Operation: 70+74=144, Resulting Numbers: [93, 144]
Generated Node #0,0,1: 89:[93, 144] Operation: 70+74=144
Moving to Node #0,0,1
Current State: 89:[93, 144], Operations: ['66+27=93', '70+74=144']
Exploring Operation: 144-93=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 93+144=237, Resulting Numbers: [237]
237,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[74, 23], Operations: ['66+27=93', '93-70=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,89 unequal: No Solution
Exploring Operation: 74-23=51, Resulting Numbers: [51]
51,89 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 #0,1
Current State: 89:[66, 74, 97], Operations: ['70+27=97']
Exploring Operation: 66+74=140, Resulting Numbers: [97, 140]
Generated Node #0,1,0: 89:[97, 140] Operation: 66+74=140
Exploring Operation: 97-66=31, Resulting Numbers: [74, 31]
Generated Node #0,1,1: 89:[74, 31] Operation: 97-66=31
Moving to Node #0,1,0
Current State: 89:[97, 140], Operations: ['70+27=97', '66+74=140']
Exploring Operation: 140-97=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 97+140=237, Resulting Numbers: [237]
237,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[74, 31], Operations: ['70+27=97', '97-66=31']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 74+31=105, Resulting Numbers: [105]
105,89 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,
9,
9,
96
] | 78 | [
"11-9=2",
"9*2=18",
"96-18=78"
] | Current State: 78:[11, 9, 9, 96], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [96, 2]
Generated Node #2: [96, 2] from Operation: 11-9=2
Current State: 78:[96, 2], Operations: ['11-9=2']
Exploring Operation: 9*2=18, Resulting Numbers: [96, 18]
Generated Node #3: [96, 18] from Operation: 9*2=18
Current State: 78:[96, 18], Operations: ['11-9=2', '9*2=18']
Exploring Operation: 96-18=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[11, 9, 9, 96], Operations: []
Exploring Operation: 96-9=87, Resulting Numbers: [11, 9, 87]
Generated Node #0,0: 78:[11, 9, 87] Operation: 96-9=87
Exploring Operation: 11-9=2, Resulting Numbers: [9, 96, 2]
Generated Node #0,1: 78:[9, 96, 2] Operation: 11-9=2
Exploring Operation: 96-9=87, Resulting Numbers: [11, 9, 87]
Generated Node #0,2: 78:[11, 9, 87] Operation: 96-9=87
Exploring Operation: 96-11=85, Resulting Numbers: [9, 9, 85]
Generated Node #0,3: 78:[9, 9, 85] Operation: 96-11=85
Exploring Operation: 11-9=2, Resulting Numbers: [9, 96, 2]
Generated Node #0,4: 78:[9, 96, 2] Operation: 11-9=2
Moving to Node #0,3
Current State: 78:[9, 9, 85], Operations: ['96-11=85']
Exploring Operation: 85-9=76, Resulting Numbers: [9, 76]
Generated Node #0,3,0: 78:[9, 76] Operation: 85-9=76
Exploring Operation: 9*9=81, Resulting Numbers: [85, 81]
Generated Node #0,3,1: 78:[85, 81] Operation: 9*9=81
Exploring Operation: 9-9=0, Resulting Numbers: [85, 0]
Generated Node #0,3,2: 78:[85, 0] Operation: 9-9=0
Exploring Operation: 85-9=76, Resulting Numbers: [9, 76]
Generated Node #0,3,3: 78:[9, 76] Operation: 85-9=76
Exploring Operation: 9/9=1, Resulting Numbers: [85, 1]
Generated Node #0,3,4: 78:[85, 1] Operation: 9/9=1
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 78:[9, 76], Operations: ['96-11=85', '85-9=76']
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,78 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,78 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 #0,3,3
Current State: 78:[9, 76], Operations: ['96-11=85', '85-9=76']
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,78 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 #0,3,4
Current State: 78:[85, 1], Operations: ['96-11=85', '9/9=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,78 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,78 unequal: No Solution
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,78 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 #0,3,2
Current State: 78:[85, 0], Operations: ['96-11=85', '9-9=0']
Exploring Operation: 85-0=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 85*0=0, Resulting Numbers: [0]
0,78 unequal: No Solution
Exploring Operation: 85+0=85, Resulting Numbers: [85]
85,78 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 #0,3,1
Current State: 78:[85, 81], Operations: ['96-11=85', '9*9=81']
Exploring Operation: 85*81=6885, Resulting Numbers: [6885]
6885,78 unequal: No Solution
Exploring Operation: 85+81=166, Resulting Numbers: [166]
166,78 unequal: No Solution
Exploring Operation: 85-81=4, Resulting Numbers: [4]
4,78 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: 78:[11, 9, 87], Operations: ['96-9=87']
Exploring Operation: 9+87=96, Resulting Numbers: [11, 96]
Generated Node #0,2,0: 78:[11, 96] Operation: 9+87=96
Exploring Operation: 11+9=20, Resulting Numbers: [87, 20]
Generated Node #0,2,1: 78:[87, 20] Operation: 11+9=20
Exploring Operation: 87-11=76, Resulting Numbers: [9, 76]
Generated Node #0,2,2: 78:[9, 76] Operation: 87-11=76
Exploring Operation: 87-9=78, Resulting Numbers: [11, 78]
Generated Node #0,2,3: 78:[11, 78] Operation: 87-9=78
Exploring Operation: 11-9=2, Resulting Numbers: [87, 2]
Generated Node #0,2,4: 78:[87, 2] Operation: 11-9=2
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 78:[11, 78], Operations: ['96-9=87', '87-9=78']
Exploring Operation: 11*78=858, Resulting Numbers: [858]
858,78 unequal: No Solution
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,78 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 #0,2,2
Current State: 78:[9, 76], Operations: ['96-9=87', '87-11=76']
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,78 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,78 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 #0,2,4
Current State: 78:[87, 2], Operations: ['96-9=87', '11-9=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,78 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,78 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 #0,2,1
Current State: 78:[87, 20], Operations: ['96-9=87', '11+9=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,78 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 #0,2,0
Current State: 78:[11, 96], Operations: ['96-9=87', '9+87=96']
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,78 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,78 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: 78:[11, 9, 87], Operations: ['96-9=87']
Exploring Operation: 11+9=20, Resulting Numbers: [87, 20]
Generated Node #0,0,0: 78:[87, 20] Operation: 11+9=20
Exploring Operation: 11-9=2, Resulting Numbers: [87, 2]
Generated Node #0,0,1: 78:[87, 2] Operation: 11-9=2
Exploring Operation: 9+87=96, Resulting Numbers: [11, 96]
Generated Node #0,0,2: 78:[11, 96] Operation: 9+87=96
Exploring Operation: 87-11=76, Resulting Numbers: [9, 76]
Generated Node #0,0,3: 78:[9, 76] Operation: 87-11=76
Exploring Operation: 87-9=78, Resulting Numbers: [11, 78]
Generated Node #0,0,4: 78:[11, 78] Operation: 87-9=78
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 78:[11, 78], Operations: ['96-9=87', '87-9=78']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 11+78=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 11*78=858, Resulting Numbers: [858]
858,78 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 #0,0,3
Current State: 78:[9, 76], Operations: ['96-9=87', '87-11=76']
Exploring Operation: 9*76=684, Resulting Numbers: [684]
684,78 unequal: No Solution
Exploring Operation: 76-9=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Exploring Operation: 9+76=85, Resulting Numbers: [85]
85,78 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 #0,0,1
Current State: 78:[87, 2], Operations: ['96-9=87', '11-9=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,78 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 #0,0,0
Current State: 78:[87, 20], Operations: ['96-9=87', '11+9=20']
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,78 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,78 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 #0,0,2
Current State: 78:[11, 96], Operations: ['96-9=87', '9+87=96']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 11+96=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Exploring Operation: 11*96=1056, Resulting Numbers: [1056]
1056,78 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: 78:[9, 96, 2], Operations: ['11-9=2']
Exploring Operation: 96/2=48, Resulting Numbers: [9, 48]
Generated Node #0,1,0: 78:[9, 48] Operation: 96/2=48
Exploring Operation: 9+2=11, Resulting Numbers: [96, 11]
Generated Node #0,1,1: 78:[96, 11] Operation: 9+2=11
Exploring Operation: 96-2=94, Resulting Numbers: [9, 94]
Generated Node #0,1,2: 78:[9, 94] Operation: 96-2=94
Exploring Operation: 9-2=7, Resulting Numbers: [96, 7]
Generated Node #0,1,3: 78:[96, 7] Operation: 9-2=7
Exploring Operation: 96-9=87, Resulting Numbers: [2, 87]
Generated Node #0,1,4: 78:[2, 87] Operation: 96-9=87
Moving to Node #0,4
Current State: 78:[9, 96, 2], Operations: ['11-9=2']
Exploring Operation: 9-2=7, Resulting Numbers: [96, 7]
Generated Node #0,4,0: 78:[96, 7] Operation: 9-2=7
Exploring Operation: 96/2=48, Resulting Numbers: [9, 48]
Generated Node #0,4,1: 78:[9, 48] Operation: 96/2=48
Exploring Operation: 9+2=11, Resulting Numbers: [96, 11]
Generated Node #0,4,2: 78:[96, 11] Operation: 9+2=11
Exploring Operation: 96-9=87, Resulting Numbers: [2, 87]
Generated Node #0,4,3: 78:[2, 87] Operation: 96-9=87
Exploring Operation: 96-2=94, Resulting Numbers: [9, 94]
Generated Node #0,4,4: 78:[9, 94] Operation: 96-2=94
Moving to Node #0,1,4
Current State: 78:[2, 87], Operations: ['11-9=2', '96-9=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,78 unequal: No Solution
Moving to Node #0,4,3
Current State: 78:[2, 87], Operations: ['11-9=2', '96-9=87']
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,78 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Moving to Node #0,4,1
Current State: 78:[9, 48], Operations: ['11-9=2', '96/2=48']
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,78 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[9, 48], Operations: ['11-9=2', '96/2=48']
Exploring Operation: 9*48=432, Resulting Numbers: [432]
432,78 unequal: No Solution
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[9, 94], Operations: ['11-9=2', '96-2=94']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 9+94=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 9*94=846, Resulting Numbers: [846]
846,78 unequal: No Solution
Moving to Node #0,4,4
Current State: 78:[9, 94], Operations: ['11-9=2', '96-2=94']
Exploring Operation: 9+94=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 9*94=846, Resulting Numbers: [846]
846,78 unequal: No Solution
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[96, 7], Operations: ['11-9=2', '9-2=7']
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,78 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Moving to Node #0,4,0
Current State: 78:[96, 7], Operations: ['11-9=2', '9-2=7']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,78 unequal: No Solution
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,78 unequal: No Solution
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[96, 11], Operations: ['11-9=2', '9+2=11']
Exploring Operation: 96*11=1056, Resulting Numbers: [1056]
1056,78 unequal: No Solution
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 96+11=107, Resulting Numbers: [107]
107,78 unequal: No Solution
Moving to Node #0,4,2
Current State: 78:[96, 11], Operations: ['11-9=2', '9+2=11']
Exploring Operation: 96-11=85, Resulting Numbers: [85]
85,78 unequal: No Solution
Exploring Operation: 96*11=1056, Resulting Numbers: [1056]
1056,78 unequal: No Solution
Exploring Operation: 96+11=107, Resulting Numbers: [107]
107,78 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
70,
58,
35,
38
] | 98 | [
"70/35=2",
"58+38=96",
"2+96=98"
] | Current State: 98:[70, 58, 35, 38], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [58, 38, 2]
Generated Node #2: [58, 38, 2] from Operation: 70/35=2
Current State: 98:[58, 38, 2], Operations: ['70/35=2']
Exploring Operation: 58+38=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 58+38=96
Current State: 98:[2, 96], Operations: ['70/35=2', '58+38=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[70, 58, 35, 38], Operations: []
Exploring Operation: 70+38=108, Resulting Numbers: [58, 35, 108]
Generated Node #0,0: 98:[58, 35, 108] Operation: 70+38=108
Exploring Operation: 70/35=2, Resulting Numbers: [58, 38, 2]
Generated Node #0,1: 98:[58, 38, 2] Operation: 70/35=2
Exploring Operation: 70+35=105, Resulting Numbers: [58, 38, 105]
Generated Node #0,2: 98:[58, 38, 105] Operation: 70+35=105
Exploring Operation: 38-35=3, Resulting Numbers: [70, 58, 3]
Generated Node #0,3: 98:[70, 58, 3] Operation: 38-35=3
Exploring Operation: 70-58=12, Resulting Numbers: [35, 38, 12]
Generated Node #0,4: 98:[35, 38, 12] Operation: 70-58=12
Moving to Node #0,1
Current State: 98:[58, 38, 2], Operations: ['70/35=2']
Exploring Operation: 38+2=40, Resulting Numbers: [58, 40]
Generated Node #0,1,0: 98:[58, 40] Operation: 38+2=40
Exploring Operation: 38/2=19, Resulting Numbers: [58, 19]
Generated Node #0,1,1: 98:[58, 19] Operation: 38/2=19
Exploring Operation: 58-38=20, Resulting Numbers: [2, 20]
Generated Node #0,1,2: 98:[2, 20] Operation: 58-38=20
Exploring Operation: 58+38=96, Resulting Numbers: [2, 96]
Generated Node #0,1,3: 98:[2, 96] Operation: 58+38=96
Exploring Operation: 58-2=56, Resulting Numbers: [38, 56]
Generated Node #0,1,4: 98:[38, 56] Operation: 58-2=56
Moving to Node #0,4
Current State: 98:[35, 38, 12], Operations: ['70-58=12']
Exploring Operation: 35-12=23, Resulting Numbers: [38, 23]
Generated Node #0,4,0: 98:[38, 23] Operation: 35-12=23
Exploring Operation: 38+12=50, Resulting Numbers: [35, 50]
Generated Node #0,4,1: 98:[35, 50] Operation: 38+12=50
Exploring Operation: 35+12=47, Resulting Numbers: [38, 47]
Generated Node #0,4,2: 98:[38, 47] Operation: 35+12=47
Exploring Operation: 35+38=73, Resulting Numbers: [12, 73]
Generated Node #0,4,3: 98:[12, 73] Operation: 35+38=73
Exploring Operation: 38-35=3, Resulting Numbers: [12, 3]
Generated Node #0,4,4: 98:[12, 3] Operation: 38-35=3
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 98:[12, 3], Operations: ['70-58=12', '38-35=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 98:[38, 47], Operations: ['70-58=12', '35+12=47']
Exploring Operation: 38+47=85, Resulting Numbers: [85]
85,98 unequal: No Solution
Exploring Operation: 38*47=1786, Resulting Numbers: [1786]
1786,98 unequal: No Solution
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[35, 50], Operations: ['70-58=12', '38+12=50']
Exploring Operation: 35*50=1750, Resulting Numbers: [1750]
1750,98 unequal: No Solution
Exploring Operation: 50-35=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 35+50=85, Resulting Numbers: [85]
85,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 98:[38, 23], Operations: ['70-58=12', '35-12=23']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 38+23=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 38*23=874, Resulting Numbers: [874]
874,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 98:[12, 73], Operations: ['70-58=12', '35+38=73']
Exploring Operation: 12*73=876, Resulting Numbers: [876]
876,98 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,98 unequal: No Solution
Exploring Operation: 12+73=85, Resulting Numbers: [85]
85,98 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: 98:[58, 38, 105], Operations: ['70+35=105']
Exploring Operation: 105-38=67, Resulting Numbers: [58, 67]
Generated Node #0,2,0: 98:[58, 67] Operation: 105-38=67
Exploring Operation: 105-58=47, Resulting Numbers: [38, 47]
Generated Node #0,2,1: 98:[38, 47] Operation: 105-58=47
Exploring Operation: 58+38=96, Resulting Numbers: [105, 96]
Generated Node #0,2,2: 98:[105, 96] Operation: 58+38=96
Exploring Operation: 38+105=143, Resulting Numbers: [58, 143]
Generated Node #0,2,3: 98:[58, 143] Operation: 38+105=143
Exploring Operation: 58-38=20, Resulting Numbers: [105, 20]
Generated Node #0,2,4: 98:[105, 20] Operation: 58-38=20
Moving to Node #0,3
Current State: 98:[70, 58, 3], Operations: ['38-35=3']
Exploring Operation: 70-58=12, Resulting Numbers: [3, 12]
Generated Node #0,3,0: 98:[3, 12] Operation: 70-58=12
Exploring Operation: 70+3=73, Resulting Numbers: [58, 73]
Generated Node #0,3,1: 98:[58, 73] Operation: 70+3=73
Exploring Operation: 70-3=67, Resulting Numbers: [58, 67]
Generated Node #0,3,2: 98:[58, 67] Operation: 70-3=67
Exploring Operation: 58-3=55, Resulting Numbers: [70, 55]
Generated Node #0,3,3: 98:[70, 55] Operation: 58-3=55
Exploring Operation: 70+58=128, Resulting Numbers: [3, 128]
Generated Node #0,3,4: 98:[3, 128] Operation: 70+58=128
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 98:[3, 12], Operations: ['38-35=3', '70-58=12']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,98 unequal: No Solution
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,98 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 98:[58, 67], Operations: ['38-35=3', '70-3=67']
Exploring Operation: 58+67=125, Resulting Numbers: [125]
125,98 unequal: No Solution
Exploring Operation: 67-58=9, Resulting Numbers: [9]
9,98 unequal: No Solution
Exploring Operation: 58*67=3886, Resulting Numbers: [3886]
3886,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 98:[70, 55], Operations: ['38-35=3', '58-3=55']
Exploring Operation: 70*55=3850, Resulting Numbers: [3850]
3850,98 unequal: No Solution
Exploring Operation: 70+55=125, Resulting Numbers: [125]
125,98 unequal: No Solution
Exploring Operation: 70-55=15, Resulting Numbers: [15]
15,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 98:[3, 128], Operations: ['38-35=3', '70+58=128']
Exploring Operation: 3+128=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Exploring Operation: 3*128=384, Resulting Numbers: [384]
384,98 unequal: No Solution
Exploring Operation: 128-3=125, Resulting Numbers: [125]
125,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 98:[58, 73], Operations: ['38-35=3', '70+3=73']
Exploring Operation: 73-58=15, Resulting Numbers: [15]
15,98 unequal: No Solution
Exploring Operation: 58+73=131, Resulting Numbers: [131]
131,98 unequal: No Solution
Exploring Operation: 58*73=4234, Resulting Numbers: [4234]
4234,98 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: 98:[58, 35, 108], Operations: ['70+38=108']
Exploring Operation: 108-58=50, Resulting Numbers: [35, 50]
Generated Node #0,0,0: 98:[35, 50] Operation: 108-58=50
Exploring Operation: 58-35=23, Resulting Numbers: [108, 23]
Generated Node #0,0,1: 98:[108, 23] Operation: 58-35=23
Exploring Operation: 58+35=93, Resulting Numbers: [108, 93]
Generated Node #0,0,2: 98:[108, 93] Operation: 58+35=93
Exploring Operation: 35+108=143, Resulting Numbers: [58, 143]
Generated Node #0,0,3: 98:[58, 143] Operation: 35+108=143
Exploring Operation: 108-35=73, Resulting Numbers: [58, 73]
Generated Node #0,0,4: 98:[58, 73] Operation: 108-35=73
Moving to Node #0,1,3
Current State: 98:[2, 96], Operations: ['70/35=2', '58+38=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[70, 58, 35, 38], Operations: []
Exploring Operation: 70/35=2, Resulting Numbers: [58, 38, 2]
Generated Node #0,1: 98:[58, 38, 2] Operation: 70/35=2
Moving to Node #0,1
Current State: 98:[58, 38, 2], Operations: ['70/35=2']
Exploring Operation: 58+38=96, Resulting Numbers: [2, 96]
Generated Node #0,1,3: 98:[2, 96] Operation: 58+38=96
Moving to Node #0,1,3
Current State: 98:[2, 96], Operations: ['70/35=2', '58+38=96']
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 0.94184 | hs_5 | mult_heuristic |
[
26,
6,
38,
78
] | 76 | [
"26*6=156",
"38*156=5928",
"5928/78=76"
] | Current State: 76:[26, 6, 38, 78], Operations: []
Exploring Operation: 26*6=156, Resulting Numbers: [38, 78, 156]
Generated Node #2: [38, 78, 156] from Operation: 26*6=156
Current State: 76:[38, 78, 156], Operations: ['26*6=156']
Exploring Operation: 38*156=5928, Resulting Numbers: [78, 5928]
Generated Node #3: [78, 5928] from Operation: 38*156=5928
Current State: 76:[78, 5928], Operations: ['26*6=156', '38*156=5928']
Exploring Operation: 5928/78=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[26, 6, 38, 78], Operations: []
Exploring Operation: 26+6=32, Resulting Numbers: [38, 78, 32]
Generated Node #0,0: 76:[38, 78, 32] Operation: 26+6=32
Exploring Operation: 78/26=3, Resulting Numbers: [6, 38, 3]
Generated Node #0,1: 76:[6, 38, 3] Operation: 78/26=3
Exploring Operation: 26-6=20, Resulting Numbers: [38, 78, 20]
Generated Node #0,2: 76:[38, 78, 20] Operation: 26-6=20
Exploring Operation: 38-26=12, Resulting Numbers: [6, 78, 12]
Generated Node #0,3: 76:[6, 78, 12] Operation: 38-26=12
Exploring Operation: 78-6=72, Resulting Numbers: [26, 38, 72]
Generated Node #0,4: 76:[26, 38, 72] Operation: 78-6=72
Moving to Node #0,1
Current State: 76:[6, 38, 3], Operations: ['78/26=3']
Exploring Operation: 6+3=9, Resulting Numbers: [38, 9]
Generated Node #0,1,0: 76:[38, 9] Operation: 6+3=9
Exploring Operation: 6/3=2, Resulting Numbers: [38, 2]
Generated Node #0,1,1: 76:[38, 2] Operation: 6/3=2
Exploring Operation: 38+3=41, Resulting Numbers: [6, 41]
Generated Node #0,1,2: 76:[6, 41] Operation: 38+3=41
Exploring Operation: 6-3=3, Resulting Numbers: [38, 3]
Generated Node #0,1,3: 76:[38, 3] Operation: 6-3=3
Exploring Operation: 6*3=18, Resulting Numbers: [38, 18]
Generated Node #0,1,4: 76:[38, 18] Operation: 6*3=18
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[38, 2], Operations: ['78/26=3', '6/3=2']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[26, 6, 38, 78], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [6, 38, 3]
Generated Node #0,1: 76:[6, 38, 3] Operation: 78/26=3
Moving to Node #0,1
Current State: 76:[6, 38, 3], Operations: ['78/26=3']
Exploring Operation: 6/3=2, Resulting Numbers: [38, 2]
Generated Node #0,1,1: 76:[38, 2] Operation: 6/3=2
Moving to Node #0,1,1
Current State: 76:[38, 2], Operations: ['78/26=3', '6/3=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
85,
53,
80,
18
] | 94 | [
"85-53=32",
"80-18=62",
"32+62=94"
] | Current State: 94:[85, 53, 80, 18], Operations: []
Exploring Operation: 85-53=32, Resulting Numbers: [80, 18, 32]
Generated Node #2: [80, 18, 32] from Operation: 85-53=32
Current State: 94:[80, 18, 32], Operations: ['85-53=32']
Exploring Operation: 80-18=62, Resulting Numbers: [32, 62]
Generated Node #3: [32, 62] from Operation: 80-18=62
Current State: 94:[32, 62], Operations: ['85-53=32', '80-18=62']
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[85, 53, 80, 18], Operations: []
Exploring Operation: 85+18=103, Resulting Numbers: [53, 80, 103]
Generated Node #0,0: 94:[53, 80, 103] Operation: 85+18=103
Exploring Operation: 80+18=98, Resulting Numbers: [85, 53, 98]
Generated Node #0,1: 94:[85, 53, 98] Operation: 80+18=98
Exploring Operation: 85-80=5, Resulting Numbers: [53, 18, 5]
Generated Node #0,2: 94:[53, 18, 5] Operation: 85-80=5
Moving to Node #0,1
Current State: 94:[85, 53, 98], Operations: ['80+18=98']
Exploring Operation: 98-85=13, Resulting Numbers: [53, 13]
Generated Node #0,1,0: 94:[53, 13] Operation: 98-85=13
Exploring Operation: 85-53=32, Resulting Numbers: [98, 32]
Generated Node #0,1,1: 94:[98, 32] Operation: 85-53=32
Exploring Operation: 98-53=45, Resulting Numbers: [85, 45]
Generated Node #0,1,2: 94:[85, 45] Operation: 98-53=45
Moving to Node #0,2
Current State: 94:[53, 18, 5], Operations: ['85-80=5']
Exploring Operation: 18*5=90, Resulting Numbers: [53, 90]
Generated Node #0,2,0: 94:[53, 90] Operation: 18*5=90
Exploring Operation: 53-18=35, Resulting Numbers: [5, 35]
Generated Node #0,2,1: 94:[5, 35] Operation: 53-18=35
Exploring Operation: 53-5=48, Resulting Numbers: [18, 48]
Generated Node #0,2,2: 94:[18, 48] Operation: 53-5=48
Moving to Node #0,0
Current State: 94:[53, 80, 103], Operations: ['85+18=103']
Exploring Operation: 103-80=23, Resulting Numbers: [53, 23]
Generated Node #0,0,0: 94:[53, 23] Operation: 103-80=23
Exploring Operation: 103-53=50, Resulting Numbers: [80, 50]
Generated Node #0,0,1: 94:[80, 50] Operation: 103-53=50
Exploring Operation: 80-53=27, Resulting Numbers: [103, 27]
Generated Node #0,0,2: 94:[103, 27] Operation: 80-53=27
Moving to Node #0,2,0
Current State: 94:[53, 90], Operations: ['85-80=5', '18*5=90']
Exploring Operation: 53*90=4770, Resulting Numbers: [4770]
4770,94 unequal: No Solution
Exploring Operation: 53+90=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 90-53=37, Resulting Numbers: [37]
37,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[85, 45], Operations: ['80+18=98', '98-53=45']
Exploring Operation: 85*45=3825, Resulting Numbers: [3825]
3825,94 unequal: No Solution
Exploring Operation: 85+45=130, Resulting Numbers: [130]
130,94 unequal: No Solution
Exploring Operation: 85-45=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[5, 35], Operations: ['85-80=5', '53-18=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,94 unequal: No Solution
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[18, 48], Operations: ['85-80=5', '53-5=48']
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,94 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,94 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,94 unequal: No Solution
Moving to Node #0,0,1
Current State: 94:[80, 50], Operations: ['85+18=103', '103-53=50']
Exploring Operation: 80+50=130, Resulting Numbers: [130]
130,94 unequal: No Solution
Exploring Operation: 80-50=30, Resulting Numbers: [30]
30,94 unequal: No Solution
Exploring Operation: 80*50=4000, Resulting Numbers: [4000]
4000,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[53, 13], Operations: ['80+18=98', '98-85=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,94 unequal: No Solution
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,94 unequal: No Solution
Exploring Operation: 53*13=689, Resulting Numbers: [689]
689,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[98, 32], Operations: ['80+18=98', '85-53=32']
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,94 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,94 unequal: No Solution
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,94 unequal: No Solution
Moving to Node #0,0,0
Current State: 94:[53, 23], Operations: ['85+18=103', '103-80=23']
Exploring Operation: 53*23=1219, Resulting Numbers: [1219]
1219,94 unequal: No Solution
Exploring Operation: 53-23=30, Resulting Numbers: [30]
30,94 unequal: No Solution
Exploring Operation: 53+23=76, Resulting Numbers: [76]
76,94 unequal: No Solution
Moving to Node #0,0,2
Current State: 94:[103, 27], Operations: ['85+18=103', '80-53=27']
Exploring Operation: 103-27=76, Resulting Numbers: [76]
76,94 unequal: No Solution
Exploring Operation: 103+27=130, Resulting Numbers: [130]
130,94 unequal: No Solution
Exploring Operation: 103*27=2781, Resulting Numbers: [2781]
2781,94 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
2,
87,
33,
6
] | 12 | [
"6/2=3",
"33*3=99",
"99-87=12"
] | Current State: 12:[2, 87, 33, 6], Operations: []
Exploring Operation: 6/2=3, Resulting Numbers: [87, 33, 3]
Generated Node #2: [87, 33, 3] from Operation: 6/2=3
Current State: 12:[87, 33, 3], Operations: ['6/2=3']
Exploring Operation: 33*3=99, Resulting Numbers: [87, 99]
Generated Node #3: [87, 99] from Operation: 33*3=99
Current State: 12:[87, 99], Operations: ['6/2=3', '33*3=99']
Exploring Operation: 99-87=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[2, 87, 33, 6], Operations: []
Exploring Operation: 87-33=54, Resulting Numbers: [2, 6, 54]
Generated Node #0,0: 12:[2, 6, 54] Operation: 87-33=54
Exploring Operation: 87-6=81, Resulting Numbers: [2, 33, 81]
Generated Node #0,1: 12:[2, 33, 81] Operation: 87-6=81
Exploring Operation: 33-6=27, Resulting Numbers: [2, 87, 27]
Generated Node #0,2: 12:[2, 87, 27] Operation: 33-6=27
Moving to Node #0,0
Current State: 12:[2, 6, 54], Operations: ['87-33=54']
Exploring Operation: 54/2=27, Resulting Numbers: [6, 27]
Generated Node #0,0,0: 12:[6, 27] Operation: 54/2=27
Exploring Operation: 54-6=48, Resulting Numbers: [2, 48]
Generated Node #0,0,1: 12:[2, 48] Operation: 54-6=48
Exploring Operation: 54/6=9, Resulting Numbers: [2, 9]
Generated Node #0,0,2: 12:[2, 9] Operation: 54/6=9
Moving to Node #0,1
Current State: 12:[2, 33, 81], Operations: ['87-6=81']
Exploring Operation: 81-33=48, Resulting Numbers: [2, 48]
Generated Node #0,1,0: 12:[2, 48] Operation: 81-33=48
Exploring Operation: 33-2=31, Resulting Numbers: [81, 31]
Generated Node #0,1,1: 12:[81, 31] Operation: 33-2=31
Exploring Operation: 81-2=79, Resulting Numbers: [33, 79]
Generated Node #0,1,2: 12:[33, 79] Operation: 81-2=79
Moving to Node #0,2
Current State: 12:[2, 87, 27], Operations: ['33-6=27']
Exploring Operation: 27-2=25, Resulting Numbers: [87, 25]
Generated Node #0,2,0: 12:[87, 25] Operation: 27-2=25
Exploring Operation: 87-2=85, Resulting Numbers: [27, 85]
Generated Node #0,2,1: 12:[27, 85] Operation: 87-2=85
Exploring Operation: 87-27=60, Resulting Numbers: [2, 60]
Generated Node #0,2,2: 12:[2, 60] Operation: 87-27=60
Moving to Node #0,0,2
Current State: 12:[2, 9], Operations: ['87-33=54', '54/6=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[6, 27], Operations: ['87-33=54', '54/2=27']
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,12 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[2, 48], Operations: ['87-33=54', '54-6=48']
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,12 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Moving to Node #0,1,0
Current State: 12:[2, 48], Operations: ['87-6=81', '81-33=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,12 unequal: No Solution
Exploring Operation: 48/2=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[2, 60], Operations: ['33-6=27', '87-27=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,12 unequal: No Solution
Exploring Operation: 60/2=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 2+60=62, Resulting Numbers: [62]
62,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[33, 79], Operations: ['87-6=81', '81-2=79']
Exploring Operation: 33+79=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,12 unequal: No Solution
Exploring Operation: 33*79=2607, Resulting Numbers: [2607]
2607,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[27, 85], Operations: ['33-6=27', '87-2=85']
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,12 unequal: No Solution
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[81, 31], Operations: ['87-6=81', '33-2=31']
Exploring Operation: 81+31=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 81*31=2511, Resulting Numbers: [2511]
2511,12 unequal: No Solution
Exploring Operation: 81-31=50, Resulting Numbers: [50]
50,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[87, 25], Operations: ['33-6=27', '27-2=25']
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,12 unequal: No Solution
Exploring Operation: 87+25=112, Resulting Numbers: [112]
112,12 unequal: No Solution
Exploring Operation: 87*25=2175, Resulting Numbers: [2175]
2175,12 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
7,
12,
13,
74
] | 72 | [
"13-7=6",
"12/6=2",
"74-2=72"
] | Current State: 72:[7, 12, 13, 74], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [12, 74, 6]
Generated Node #2: [12, 74, 6] from Operation: 13-7=6
Current State: 72:[12, 74, 6], Operations: ['13-7=6']
Exploring Operation: 12/6=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 12/6=2
Current State: 72:[74, 2], Operations: ['13-7=6', '12/6=2']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[7, 12, 13, 74], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [12, 74, 6]
Generated Node #0,0: 72:[12, 74, 6] Operation: 13-7=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 72:[12, 74, 6], Operations: ['13-7=6']
Exploring Operation: 12+6=18, Resulting Numbers: [74, 18]
Generated Node #0,0,0: 72:[74, 18] Operation: 12+6=18
Moving to Node #0,0,0
Current State: 72:[74, 18], Operations: ['13-7=6', '12+6=18']
Exploring Operation: 74-18=56, Resulting Numbers: [56]
56,72 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 |
[
12,
95,
93,
81
] | 57 | [
"95-93=2",
"12*2=24",
"81-24=57"
] | Current State: 57:[12, 95, 93, 81], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [12, 81, 2]
Generated Node #2: [12, 81, 2] from Operation: 95-93=2
Current State: 57:[12, 81, 2], Operations: ['95-93=2']
Exploring Operation: 12*2=24, Resulting Numbers: [81, 24]
Generated Node #3: [81, 24] from Operation: 12*2=24
Current State: 57:[81, 24], Operations: ['95-93=2', '12*2=24']
Exploring Operation: 81-24=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[12, 95, 93, 81], Operations: []
Exploring Operation: 93-81=12, Resulting Numbers: [12, 95, 12]
Generated Node #0,0: 57:[12, 95, 12] Operation: 93-81=12
Exploring Operation: 95-81=14, Resulting Numbers: [12, 93, 14]
Generated Node #0,1: 57:[12, 93, 14] Operation: 95-81=14
Exploring Operation: 95-93=2, Resulting Numbers: [12, 81, 2]
Generated Node #0,2: 57:[12, 81, 2] Operation: 95-93=2
Moving to Node #0,2
Current State: 57:[12, 81, 2], Operations: ['95-93=2']
Exploring Operation: 12+2=14, Resulting Numbers: [81, 14]
Generated Node #0,2,0: 57:[81, 14] Operation: 12+2=14
Exploring Operation: 12/2=6, Resulting Numbers: [81, 6]
Generated Node #0,2,1: 57:[81, 6] Operation: 12/2=6
Exploring Operation: 81-12=69, Resulting Numbers: [2, 69]
Generated Node #0,2,2: 57:[2, 69] Operation: 81-12=69
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[2, 69], Operations: ['95-93=2', '81-12=69']
Exploring Operation: 69-2=67, Resulting Numbers: [67]
67,57 unequal: No Solution
Exploring Operation: 2+69=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 2*69=138, Resulting Numbers: [138]
138,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[81, 6], Operations: ['95-93=2', '12/2=6']
Exploring Operation: 81*6=486, Resulting Numbers: [486]
486,57 unequal: No Solution
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[81, 14], Operations: ['95-93=2', '12+2=14']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,57 unequal: No Solution
Exploring Operation: 81+14=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 81*14=1134, Resulting Numbers: [1134]
1134,57 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: 57:[12, 93, 14], Operations: ['95-81=14']
Exploring Operation: 93-12=81, Resulting Numbers: [14, 81]
Generated Node #0,1,0: 57:[14, 81] Operation: 93-12=81
Exploring Operation: 93-14=79, Resulting Numbers: [12, 79]
Generated Node #0,1,1: 57:[12, 79] Operation: 93-14=79
Exploring Operation: 14-12=2, Resulting Numbers: [93, 2]
Generated Node #0,1,2: 57:[93, 2] Operation: 14-12=2
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[14, 81], Operations: ['95-81=14', '93-12=81']
Exploring Operation: 81-14=67, Resulting Numbers: [67]
67,57 unequal: No Solution
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 14*81=1134, Resulting Numbers: [1134]
1134,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[12, 79], Operations: ['95-81=14', '93-14=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,57 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,57 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[93, 2], Operations: ['95-81=14', '14-12=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 93*2=186, Resulting Numbers: [186]
186,57 unequal: No Solution
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 57:[12, 95, 12], Operations: ['93-81=12']
Exploring Operation: 95-12=83, Resulting Numbers: [12, 83]
Generated Node #0,0,0: 57:[12, 83] Operation: 95-12=83
Exploring Operation: 12/12=1, Resulting Numbers: [95, 1]
Generated Node #0,0,1: 57:[95, 1] Operation: 12/12=1
Exploring Operation: 95-12=83, Resulting Numbers: [12, 83]
Generated Node #0,0,2: 57:[12, 83] Operation: 95-12=83
Moving to Node #0,0,0
Current State: 57:[12, 83], Operations: ['93-81=12', '95-12=83']
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,57 unequal: No Solution
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[12, 83], Operations: ['93-81=12', '95-12=83']
Exploring Operation: 83-12=71, Resulting Numbers: [71]
71,57 unequal: No Solution
Exploring Operation: 12+83=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 12*83=996, Resulting Numbers: [996]
996,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[95, 1], Operations: ['93-81=12', '12/12=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,57 unequal: No Solution
Exploring Operation: 95/1=95, Resulting Numbers: [95]
95,57 unequal: No Solution
Exploring Operation: 95*1=95, Resulting Numbers: [95]
95,57 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
81,
95,
24,
19
] | 62 | [
"81-24=57",
"95/19=5",
"57+5=62"
] | Current State: 62:[81, 95, 24, 19], Operations: []
Exploring Operation: 81-24=57, Resulting Numbers: [95, 19, 57]
Generated Node #2: [95, 19, 57] from Operation: 81-24=57
Current State: 62:[95, 19, 57], Operations: ['81-24=57']
Exploring Operation: 95/19=5, Resulting Numbers: [57, 5]
Generated Node #3: [57, 5] from Operation: 95/19=5
Current State: 62:[57, 5], Operations: ['81-24=57', '95/19=5']
Exploring Operation: 57+5=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[81, 95, 24, 19], Operations: []
Exploring Operation: 95-24=71, Resulting Numbers: [81, 19, 71]
Generated Node #0,0: 62:[81, 19, 71] Operation: 95-24=71
Exploring Operation: 95-81=14, Resulting Numbers: [24, 19, 14]
Generated Node #0,1: 62:[24, 19, 14] Operation: 95-81=14
Exploring Operation: 95/19=5, Resulting Numbers: [81, 24, 5]
Generated Node #0,2: 62:[81, 24, 5] Operation: 95/19=5
Exploring Operation: 81-19=62, Resulting Numbers: [95, 24, 62]
Generated Node #0,3: 62:[95, 24, 62] Operation: 81-19=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[81, 24, 5], Operations: ['95/19=5']
Exploring Operation: 81-5=76, Resulting Numbers: [24, 76]
Generated Node #0,2,0: 62:[24, 76] Operation: 81-5=76
Exploring Operation: 24+5=29, Resulting Numbers: [81, 29]
Generated Node #0,2,1: 62:[81, 29] Operation: 24+5=29
Exploring Operation: 81-24=57, Resulting Numbers: [5, 57]
Generated Node #0,2,2: 62:[5, 57] Operation: 81-24=57
Exploring Operation: 81+5=86, Resulting Numbers: [24, 86]
Generated Node #0,2,3: 62:[24, 86] Operation: 81+5=86
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 62:[5, 57], Operations: ['95/19=5', '81-24=57']
Exploring Operation: 5*57=285, Resulting Numbers: [285]
285,62 unequal: No Solution
Exploring Operation: 57-5=52, Resulting Numbers: [52]
52,62 unequal: No Solution
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[81, 95, 24, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [81, 24, 5]
Generated Node #0,2: 62:[81, 24, 5] Operation: 95/19=5
Moving to Node #0,2
Current State: 62:[81, 24, 5], Operations: ['95/19=5']
Exploring Operation: 81-24=57, Resulting Numbers: [5, 57]
Generated Node #0,2,2: 62:[5, 57] Operation: 81-24=57
Moving to Node #0,2,2
Current State: 62:[5, 57], Operations: ['95/19=5', '81-24=57']
Exploring Operation: 5+57=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
16,
23,
69,
5
] | 95 | [
"69/23=3",
"16+3=19",
"5*19=95"
] | Current State: 95:[16, 23, 69, 5], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [16, 5, 3]
Generated Node #2: [16, 5, 3] from Operation: 69/23=3
Current State: 95:[16, 5, 3], Operations: ['69/23=3']
Exploring Operation: 16+3=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 16+3=19
Current State: 95:[5, 19], Operations: ['69/23=3', '16+3=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[16, 23, 69, 5], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [16, 5, 3]
Generated Node #0,0: 95:[16, 5, 3] Operation: 69/23=3
Exploring Operation: 23+69=92, Resulting Numbers: [16, 5, 92]
Generated Node #0,1: 95:[16, 5, 92] Operation: 23+69=92
Exploring Operation: 23-16=7, Resulting Numbers: [69, 5, 7]
Generated Node #0,2: 95:[69, 5, 7] Operation: 23-16=7
Exploring Operation: 16+69=85, Resulting Numbers: [23, 5, 85]
Generated Node #0,3: 95:[23, 5, 85] Operation: 16+69=85
Moving to Node #0,0
Current State: 95:[16, 5, 3], Operations: ['69/23=3']
Exploring Operation: 16-3=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 95:[5, 13] Operation: 16-3=13
Exploring Operation: 16+5=21, Resulting Numbers: [3, 21]
Generated Node #0,0,1: 95:[3, 21] Operation: 16+5=21
Exploring Operation: 16+3=19, Resulting Numbers: [5, 19]
Generated Node #0,0,2: 95:[5, 19] Operation: 16+3=19
Exploring Operation: 5+3=8, Resulting Numbers: [16, 8]
Generated Node #0,0,3: 95:[16, 8] Operation: 5+3=8
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 95:[5, 19], Operations: ['69/23=3', '16+3=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[16, 23, 69, 5], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [16, 5, 3]
Generated Node #0,0: 95:[16, 5, 3] Operation: 69/23=3
Moving to Node #0,0
Current State: 95:[16, 5, 3], Operations: ['69/23=3']
Exploring Operation: 16+3=19, Resulting Numbers: [5, 19]
Generated Node #0,0,2: 95:[5, 19] Operation: 16+3=19
Moving to Node #0,0,2
Current State: 95:[5, 19], Operations: ['69/23=3', '16+3=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
29,
10,
39,
72
] | 28 | [
"39-29=10",
"10*10=100",
"100-72=28"
] | Current State: 28:[29, 10, 39, 72], Operations: []
Exploring Operation: 39-29=10, Resulting Numbers: [10, 72, 10]
Generated Node #2: [10, 72, 10] from Operation: 39-29=10
Current State: 28:[10, 72, 10], Operations: ['39-29=10']
Exploring Operation: 10*10=100, Resulting Numbers: [72, 100]
Generated Node #3: [72, 100] from Operation: 10*10=100
Current State: 28:[72, 100], Operations: ['39-29=10', '10*10=100']
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[29, 10, 39, 72], Operations: []
Exploring Operation: 72-39=33, Resulting Numbers: [29, 10, 33]
Generated Node #0,0: 28:[29, 10, 33] Operation: 72-39=33
Moving to Node #0,0
Current State: 28:[29, 10, 33], Operations: ['72-39=33']
Exploring Operation: 33-29=4, Resulting Numbers: [10, 4]
Generated Node #0,0,0: 28:[10, 4] Operation: 33-29=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 28:[10, 4], Operations: ['72-39=33', '33-29=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,28 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 |
[
78,
67,
40,
9
] | 81 | [
"67-40=27",
"27/9=3",
"78+3=81"
] | Current State: 81:[78, 67, 40, 9], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [78, 9, 27]
Generated Node #2: [78, 9, 27] from Operation: 67-40=27
Current State: 81:[78, 9, 27], Operations: ['67-40=27']
Exploring Operation: 27/9=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 27/9=3
Current State: 81:[78, 3], Operations: ['67-40=27', '27/9=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[78, 67, 40, 9], Operations: []
Exploring Operation: 78-40=38, Resulting Numbers: [67, 9, 38]
Generated Node #0,0: 81:[67, 9, 38] Operation: 78-40=38
Exploring Operation: 67+9=76, Resulting Numbers: [78, 40, 76]
Generated Node #0,1: 81:[78, 40, 76] Operation: 67+9=76
Exploring Operation: 67-40=27, Resulting Numbers: [78, 9, 27]
Generated Node #0,2: 81:[78, 9, 27] Operation: 67-40=27
Exploring Operation: 40-9=31, Resulting Numbers: [78, 67, 31]
Generated Node #0,3: 81:[78, 67, 31] Operation: 40-9=31
Exploring Operation: 78-67=11, Resulting Numbers: [40, 9, 11]
Generated Node #0,4: 81:[40, 9, 11] Operation: 78-67=11
Start Sub Search at level 1: Moving to Node #0,2
Current State: 81:[78, 9, 27], Operations: ['67-40=27']
Exploring Operation: 27-9=18, Resulting Numbers: [78, 18]
Generated Node #0,2,0: 81:[78, 18] Operation: 27-9=18
Exploring Operation: 78-9=69, Resulting Numbers: [27, 69]
Generated Node #0,2,1: 81:[27, 69] Operation: 78-9=69
Exploring Operation: 9+27=36, Resulting Numbers: [78, 36]
Generated Node #0,2,2: 81:[78, 36] Operation: 9+27=36
Exploring Operation: 78+9=87, Resulting Numbers: [27, 87]
Generated Node #0,2,3: 81:[27, 87] Operation: 78+9=87
Exploring Operation: 27/9=3, Resulting Numbers: [78, 3]
Generated Node #0,2,4: 81:[78, 3] Operation: 27/9=3
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 81:[78, 3], Operations: ['67-40=27', '27/9=3']
Exploring Operation: 78*3=234, Resulting Numbers: [234]
234,81 unequal: No Solution
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[78, 67, 40, 9], Operations: []
Exploring Operation: 67-40=27, Resulting Numbers: [78, 9, 27]
Generated Node #0,2: 81:[78, 9, 27] Operation: 67-40=27
Moving to Node #0,2
Current State: 81:[78, 9, 27], Operations: ['67-40=27']
Exploring Operation: 27/9=3, Resulting Numbers: [78, 3]
Generated Node #0,2,4: 81:[78, 3] Operation: 27/9=3
Moving to Node #0,2,4
Current State: 81:[78, 3], Operations: ['67-40=27', '27/9=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
1,
79,
98,
42
] | 22 | [
"79-1=78",
"98-42=56",
"78-56=22"
] | Current State: 22:[1, 79, 98, 42], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [98, 42, 78]
Generated Node #2: [98, 42, 78] from Operation: 79-1=78
Current State: 22:[98, 42, 78], Operations: ['79-1=78']
Exploring Operation: 98-42=56, Resulting Numbers: [78, 56]
Generated Node #3: [78, 56] from Operation: 98-42=56
Current State: 22:[78, 56], Operations: ['79-1=78', '98-42=56']
Exploring Operation: 78-56=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[1, 79, 98, 42], Operations: []
Exploring Operation: 79-1=78, Resulting Numbers: [98, 42, 78]
Generated Node #0,0: 22:[98, 42, 78] Operation: 79-1=78
Exploring Operation: 79-42=37, Resulting Numbers: [1, 98, 37]
Generated Node #0,1: 22:[1, 98, 37] Operation: 79-42=37
Exploring Operation: 98-1=97, Resulting Numbers: [79, 42, 97]
Generated Node #0,2: 22:[79, 42, 97] Operation: 98-1=97
Exploring Operation: 98-42=56, Resulting Numbers: [1, 79, 56]
Generated Node #0,3: 22:[1, 79, 56] Operation: 98-42=56
Exploring Operation: 98-79=19, Resulting Numbers: [1, 42, 19]
Generated Node #0,4: 22:[1, 42, 19] Operation: 98-79=19
Start Sub Search at level 1: Moving to Node #0,4
Current State: 22:[1, 42, 19], Operations: ['98-79=19']
Exploring Operation: 1*42=42, Resulting Numbers: [19, 42]
Generated Node #0,4,0: 22:[19, 42] Operation: 1*42=42
Exploring Operation: 42/1=42, Resulting Numbers: [19, 42]
Generated Node #0,4,1: 22:[19, 42] Operation: 42/1=42
Exploring Operation: 42-19=23, Resulting Numbers: [1, 23]
Generated Node #0,4,2: 22:[1, 23] Operation: 42-19=23
Exploring Operation: 42-1=41, Resulting Numbers: [19, 41]
Generated Node #0,4,3: 22:[19, 41] Operation: 42-1=41
Exploring Operation: 1+19=20, Resulting Numbers: [42, 20]
Generated Node #0,4,4: 22:[42, 20] Operation: 1+19=20
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 22:[1, 23], Operations: ['98-79=19', '42-19=23']
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[1, 79, 98, 42], Operations: []
Exploring Operation: 98-79=19, Resulting Numbers: [1, 42, 19]
Generated Node #0,4: 22:[1, 42, 19] Operation: 98-79=19
Moving to Node #0,4
Current State: 22:[1, 42, 19], Operations: ['98-79=19']
Exploring Operation: 42-19=23, Resulting Numbers: [1, 23]
Generated Node #0,4,2: 22:[1, 23] Operation: 42-19=23
Moving to Node #0,4,2
Current State: 22:[1, 23], Operations: ['98-79=19', '42-19=23']
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
97,
46,
28,
11
] | 41 | [
"97+46=143",
"143/11=13",
"28+13=41"
] | Current State: 41:[97, 46, 28, 11], Operations: []
Exploring Operation: 97+46=143, Resulting Numbers: [28, 11, 143]
Generated Node #2: [28, 11, 143] from Operation: 97+46=143
Current State: 41:[28, 11, 143], Operations: ['97+46=143']
Exploring Operation: 143/11=13, Resulting Numbers: [28, 13]
Generated Node #3: [28, 13] from Operation: 143/11=13
Current State: 41:[28, 13], Operations: ['97+46=143', '143/11=13']
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[97, 46, 28, 11], Operations: []
Exploring Operation: 97-46=51, Resulting Numbers: [28, 11, 51]
Generated Node #0,0: 41:[28, 11, 51] Operation: 97-46=51
Moving to Node #0,0
Current State: 41:[28, 11, 51], Operations: ['97-46=51']
Exploring Operation: 28+11=39, Resulting Numbers: [51, 39]
Generated Node #0,0,0: 41:[51, 39] Operation: 28+11=39
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 41:[51, 39], Operations: ['97-46=51', '28+11=39']
Exploring Operation: 51-39=12, Resulting Numbers: [12]
12,41 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 |
[
96,
8,
18,
36
] | 66 | [
"96/8=12",
"18+36=54",
"12+54=66"
] | Current State: 66:[96, 8, 18, 36], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [18, 36, 12]
Generated Node #2: [18, 36, 12] from Operation: 96/8=12
Current State: 66:[18, 36, 12], Operations: ['96/8=12']
Exploring Operation: 18+36=54, Resulting Numbers: [12, 54]
Generated Node #3: [12, 54] from Operation: 18+36=54
Current State: 66:[12, 54], Operations: ['96/8=12', '18+36=54']
Exploring Operation: 12+54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[96, 8, 18, 36], Operations: []
Exploring Operation: 96-18=78, Resulting Numbers: [8, 36, 78]
Generated Node #0,0: 66:[8, 36, 78] Operation: 96-18=78
Exploring Operation: 96/8=12, Resulting Numbers: [18, 36, 12]
Generated Node #0,1: 66:[18, 36, 12] Operation: 96/8=12
Exploring Operation: 96-8=88, Resulting Numbers: [18, 36, 88]
Generated Node #0,2: 66:[18, 36, 88] Operation: 96-8=88
Exploring Operation: 36/18=2, Resulting Numbers: [96, 8, 2]
Generated Node #0,3: 66:[96, 8, 2] Operation: 36/18=2
Exploring Operation: 96-36=60, Resulting Numbers: [8, 18, 60]
Generated Node #0,4: 66:[8, 18, 60] Operation: 96-36=60
Moving to Node #0,1
Current State: 66:[18, 36, 12], Operations: ['96/8=12']
Exploring Operation: 36/18=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 66:[12, 2] Operation: 36/18=2
Exploring Operation: 18-12=6, Resulting Numbers: [36, 6]
Generated Node #0,1,1: 66:[36, 6] Operation: 18-12=6
Exploring Operation: 36/12=3, Resulting Numbers: [18, 3]
Generated Node #0,1,2: 66:[18, 3] Operation: 36/12=3
Exploring Operation: 36-18=18, Resulting Numbers: [12, 18]
Generated Node #0,1,3: 66:[12, 18] Operation: 36-18=18
Exploring Operation: 18+12=30, Resulting Numbers: [36, 30]
Generated Node #0,1,4: 66:[36, 30] Operation: 18+12=30
Moving to Node #0,4
Current State: 66:[8, 18, 60], Operations: ['96-36=60']
Exploring Operation: 8+60=68, Resulting Numbers: [18, 68]
Generated Node #0,4,0: 66:[18, 68] Operation: 8+60=68
Exploring Operation: 18-8=10, Resulting Numbers: [60, 10]
Generated Node #0,4,1: 66:[60, 10] Operation: 18-8=10
Exploring Operation: 18+60=78, Resulting Numbers: [8, 78]
Generated Node #0,4,2: 66:[8, 78] Operation: 18+60=78
Exploring Operation: 60-18=42, Resulting Numbers: [8, 42]
Generated Node #0,4,3: 66:[8, 42] Operation: 60-18=42
Exploring Operation: 8+18=26, Resulting Numbers: [60, 26]
Generated Node #0,4,4: 66:[60, 26] Operation: 8+18=26
Moving to Node #0,0
Current State: 66:[8, 36, 78], Operations: ['96-18=78']
Exploring Operation: 78-8=70, Resulting Numbers: [36, 70]
Generated Node #0,0,0: 66:[36, 70] Operation: 78-8=70
Exploring Operation: 78-36=42, Resulting Numbers: [8, 42]
Generated Node #0,0,1: 66:[8, 42] Operation: 78-36=42
Exploring Operation: 8+36=44, Resulting Numbers: [78, 44]
Generated Node #0,0,2: 66:[78, 44] Operation: 8+36=44
Exploring Operation: 8+78=86, Resulting Numbers: [36, 86]
Generated Node #0,0,3: 66:[36, 86] Operation: 8+78=86
Exploring Operation: 36-8=28, Resulting Numbers: [78, 28]
Generated Node #0,0,4: 66:[78, 28] Operation: 36-8=28
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 66:[36, 70], Operations: ['96-18=78', '78-8=70']
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,66 unequal: No Solution
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 66:[8, 42], Operations: ['96-18=78', '78-36=42']
Exploring Operation: 8*42=336, Resulting Numbers: [336]
336,66 unequal: No Solution
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 66:[78, 28], Operations: ['96-18=78', '36-8=28']
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 78*28=2184, Resulting Numbers: [2184]
2184,66 unequal: No Solution
Exploring Operation: 78+28=106, Resulting Numbers: [106]
106,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 66:[78, 44], Operations: ['96-18=78', '8+36=44']
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,66 unequal: No Solution
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,66 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 66:[36, 86], Operations: ['96-18=78', '8+78=86']
Exploring Operation: 36+86=122, Resulting Numbers: [122]
122,66 unequal: No Solution
Exploring Operation: 86-36=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Exploring Operation: 36*86=3096, Resulting Numbers: [3096]
3096,66 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: 66:[18, 36, 88], Operations: ['96-8=88']
Exploring Operation: 88-18=70, Resulting Numbers: [36, 70]
Generated Node #0,2,0: 66:[36, 70] Operation: 88-18=70
Exploring Operation: 88-36=52, Resulting Numbers: [18, 52]
Generated Node #0,2,1: 66:[18, 52] Operation: 88-36=52
Exploring Operation: 36/18=2, Resulting Numbers: [88, 2]
Generated Node #0,2,2: 66:[88, 2] Operation: 36/18=2
Exploring Operation: 18+36=54, Resulting Numbers: [88, 54]
Generated Node #0,2,3: 66:[88, 54] Operation: 18+36=54
Exploring Operation: 36-18=18, Resulting Numbers: [88, 18]
Generated Node #0,2,4: 66:[88, 18] Operation: 36-18=18
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[36, 70], Operations: ['96-8=88', '88-18=70']
Exploring Operation: 70-36=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 36+70=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 36*70=2520, Resulting Numbers: [2520]
2520,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 66:[18, 52], Operations: ['96-8=88', '88-36=52']
Exploring Operation: 18*52=936, Resulting Numbers: [936]
936,66 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 18+52=70, Resulting Numbers: [70]
70,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 66:[88, 2], Operations: ['96-8=88', '36/18=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,66 unequal: No Solution
Exploring Operation: 88*2=176, Resulting Numbers: [176]
176,66 unequal: No Solution
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 66:[88, 18], Operations: ['96-8=88', '36-18=18']
Exploring Operation: 88+18=106, Resulting Numbers: [106]
106,66 unequal: No Solution
Exploring Operation: 88*18=1584, Resulting Numbers: [1584]
1584,66 unequal: No Solution
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 66:[88, 54], Operations: ['96-8=88', '18+36=54']
Exploring Operation: 88-54=34, Resulting Numbers: [34]
34,66 unequal: No Solution
Exploring Operation: 88+54=142, Resulting Numbers: [142]
142,66 unequal: No Solution
Exploring Operation: 88*54=4752, Resulting Numbers: [4752]
4752,66 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: 66:[96, 8, 2], Operations: ['36/18=2']
Exploring Operation: 96-8=88, Resulting Numbers: [2, 88]
Generated Node #0,3,0: 66:[2, 88] Operation: 96-8=88
Exploring Operation: 8-2=6, Resulting Numbers: [96, 6]
Generated Node #0,3,1: 66:[96, 6] Operation: 8-2=6
Exploring Operation: 96-2=94, Resulting Numbers: [8, 94]
Generated Node #0,3,2: 66:[8, 94] Operation: 96-2=94
Exploring Operation: 96/2=48, Resulting Numbers: [8, 48]
Generated Node #0,3,3: 66:[8, 48] Operation: 96/2=48
Exploring Operation: 96/8=12, Resulting Numbers: [2, 12]
Generated Node #0,3,4: 66:[2, 12] Operation: 96/8=12
Moving to Node #0,1,0
Current State: 66:[12, 2], Operations: ['96/8=12', '36/18=2']
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Moving to Node #0,3,4
Current State: 66:[2, 12], Operations: ['36/18=2', '96/8=12']
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,66 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,66 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[36, 6], Operations: ['96/8=12', '18-12=6']
Exploring Operation: 36*6=216, Resulting Numbers: [216]
216,66 unequal: No Solution
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 36+6=42, Resulting Numbers: [42]
42,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[18, 3], Operations: ['96/8=12', '36/12=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[12, 18], Operations: ['96/8=12', '36-18=18']
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,66 unequal: No Solution
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Moving to Node #0,4,0
Current State: 66:[18, 68], Operations: ['96-36=60', '8+60=68']
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,66 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,66 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,66 unequal: No Solution
Moving to Node #0,1,4
Current State: 66:[36, 30], Operations: ['96/8=12', '18+12=30']
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,66 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[96, 8, 18, 36], Operations: []
Exploring Operation: 96/8=12, Resulting Numbers: [18, 36, 12]
Generated Node #0,1: 66:[18, 36, 12] Operation: 96/8=12
Moving to Node #0,1
Current State: 66:[18, 36, 12], Operations: ['96/8=12']
Exploring Operation: 18+12=30, Resulting Numbers: [36, 30]
Generated Node #0,1,4: 66:[36, 30] Operation: 18+12=30
Moving to Node #0,1,4
Current State: 66:[36, 30], Operations: ['96/8=12', '18+12=30']
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 0.921875 | hs_5 | mult_heuristic |
[
1,
8,
71,
65
] | 40 | [
"71-1=70",
"70-65=5",
"8*5=40"
] | Current State: 40:[1, 8, 71, 65], Operations: []
Exploring Operation: 71-1=70, Resulting Numbers: [8, 65, 70]
Generated Node #2: [8, 65, 70] from Operation: 71-1=70
Current State: 40:[8, 65, 70], Operations: ['71-1=70']
Exploring Operation: 70-65=5, Resulting Numbers: [8, 5]
Generated Node #3: [8, 5] from Operation: 70-65=5
Current State: 40:[8, 5], Operations: ['71-1=70', '70-65=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[1, 8, 71, 65], Operations: []
Exploring Operation: 71-8=63, Resulting Numbers: [1, 65, 63]
Generated Node #0,0: 40:[1, 65, 63] Operation: 71-8=63
Exploring Operation: 65-1=64, Resulting Numbers: [8, 71, 64]
Generated Node #0,1: 40:[8, 71, 64] Operation: 65-1=64
Exploring Operation: 65-8=57, Resulting Numbers: [1, 71, 57]
Generated Node #0,2: 40:[1, 71, 57] Operation: 65-8=57
Exploring Operation: 71-65=6, Resulting Numbers: [1, 8, 6]
Generated Node #0,3: 40:[1, 8, 6] Operation: 71-65=6
Exploring Operation: 71-1=70, Resulting Numbers: [8, 65, 70]
Generated Node #0,4: 40:[8, 65, 70] Operation: 71-1=70
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[1, 8, 6], Operations: ['71-65=6']
Exploring Operation: 1+6=7, Resulting Numbers: [8, 7]
Generated Node #0,3,0: 40:[8, 7] Operation: 1+6=7
Exploring Operation: 1*6=6, Resulting Numbers: [8, 6]
Generated Node #0,3,1: 40:[8, 6] Operation: 1*6=6
Exploring Operation: 6-1=5, Resulting Numbers: [8, 5]
Generated Node #0,3,2: 40:[8, 5] Operation: 6-1=5
Exploring Operation: 8/1=8, Resulting Numbers: [6, 8]
Generated Node #0,3,3: 40:[6, 8] Operation: 8/1=8
Exploring Operation: 1*8=8, Resulting Numbers: [6, 8]
Generated Node #0,3,4: 40:[6, 8] Operation: 1*8=8
Moving to Node #0,3,2
Current State: 40:[8, 5], Operations: ['71-65=6', '6-1=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[1, 8, 71, 65], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [1, 8, 6]
Generated Node #0,3: 40:[1, 8, 6] Operation: 71-65=6
Moving to Node #0,3
Current State: 40:[1, 8, 6], Operations: ['71-65=6']
Exploring Operation: 6-1=5, Resulting Numbers: [8, 5]
Generated Node #0,3,2: 40:[8, 5] Operation: 6-1=5
Moving to Node #0,3,2
Current State: 40:[8, 5], Operations: ['71-65=6', '6-1=5']
Exploring Operation: 8*5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
89,
56,
83,
4
] | 54 | [
"89-56=33",
"83+4=87",
"87-33=54"
] | Current State: 54:[89, 56, 83, 4], Operations: []
Exploring Operation: 89-56=33, Resulting Numbers: [83, 4, 33]
Generated Node #2: [83, 4, 33] from Operation: 89-56=33
Current State: 54:[83, 4, 33], Operations: ['89-56=33']
Exploring Operation: 83+4=87, Resulting Numbers: [33, 87]
Generated Node #3: [33, 87] from Operation: 83+4=87
Current State: 54:[33, 87], Operations: ['89-56=33', '83+4=87']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[89, 56, 83, 4], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [56, 4, 6]
Generated Node #0,0: 54:[56, 4, 6] Operation: 89-83=6
Exploring Operation: 89-56=33, Resulting Numbers: [83, 4, 33]
Generated Node #0,1: 54:[83, 4, 33] Operation: 89-56=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[56, 4, 6], Operations: ['89-83=6']
Exploring Operation: 6-4=2, Resulting Numbers: [56, 2]
Generated Node #0,0,0: 54:[56, 2] Operation: 6-4=2
Exploring Operation: 56-4=52, Resulting Numbers: [6, 52]
Generated Node #0,0,1: 54:[6, 52] Operation: 56-4=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[56, 2], Operations: ['89-83=6', '6-4=2']
Exploring Operation: 56/2=28, Resulting Numbers: [28]
28,54 unequal: No Solution
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[89, 56, 83, 4], Operations: []
Exploring Operation: 89-83=6, Resulting Numbers: [56, 4, 6]
Generated Node #0,0: 54:[56, 4, 6] Operation: 89-83=6
Moving to Node #0,0
Current State: 54:[56, 4, 6], Operations: ['89-83=6']
Exploring Operation: 6-4=2, Resulting Numbers: [56, 2]
Generated Node #0,0,0: 54:[56, 2] Operation: 6-4=2
Moving to Node #0,0,0
Current State: 54:[56, 2], Operations: ['89-83=6', '6-4=2']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
60,
74,
30,
80
] | 65 | [
"80-74=6",
"30/6=5",
"60+5=65"
] | Current State: 65:[60, 74, 30, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 30, 6]
Generated Node #2: [60, 30, 6] from Operation: 80-74=6
Current State: 65:[60, 30, 6], Operations: ['80-74=6']
Exploring Operation: 30/6=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 30/6=5
Current State: 65:[60, 5], Operations: ['80-74=6', '30/6=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[60, 74, 30, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 30, 6]
Generated Node #0,0: 65:[60, 30, 6] Operation: 80-74=6
Exploring Operation: 60/30=2, Resulting Numbers: [74, 80, 2]
Generated Node #0,1: 65:[74, 80, 2] Operation: 60/30=2
Moving to Node #0,0
Current State: 65:[60, 30, 6], Operations: ['80-74=6']
Exploring Operation: 60/30=2, Resulting Numbers: [6, 2]
Generated Node #0,0,0: 65:[6, 2] Operation: 60/30=2
Exploring Operation: 30/6=5, Resulting Numbers: [60, 5]
Generated Node #0,0,1: 65:[60, 5] Operation: 30/6=5
Moving to Node #0,1
Current State: 65:[74, 80, 2], Operations: ['60/30=2']
Exploring Operation: 80-74=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 65:[2, 6] Operation: 80-74=6
Exploring Operation: 74-2=72, Resulting Numbers: [80, 72]
Generated Node #0,1,1: 65:[80, 72] Operation: 74-2=72
Moving to Node #0,0,0
Current State: 65:[6, 2], Operations: ['80-74=6', '60/30=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[2, 6], Operations: ['60/30=2', '80-74=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[60, 5], Operations: ['80-74=6', '30/6=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[60, 74, 30, 80], Operations: []
Exploring Operation: 80-74=6, Resulting Numbers: [60, 30, 6]
Generated Node #0,0: 65:[60, 30, 6] Operation: 80-74=6
Moving to Node #0,0
Current State: 65:[60, 30, 6], Operations: ['80-74=6']
Exploring Operation: 30/6=5, Resulting Numbers: [60, 5]
Generated Node #0,0,1: 65:[60, 5] Operation: 30/6=5
Moving to Node #0,0,1
Current State: 65:[60, 5], Operations: ['80-74=6', '30/6=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
63,
45,
58,
28
] | 42 | [
"58-28=30",
"63*30=1890",
"1890/45=42"
] | Current State: 42:[63, 45, 58, 28], Operations: []
Exploring Operation: 58-28=30, Resulting Numbers: [63, 45, 30]
Generated Node #2: [63, 45, 30] from Operation: 58-28=30
Current State: 42:[63, 45, 30], Operations: ['58-28=30']
Exploring Operation: 63*30=1890, Resulting Numbers: [45, 1890]
Generated Node #3: [45, 1890] from Operation: 63*30=1890
Current State: 42:[45, 1890], Operations: ['58-28=30', '63*30=1890']
Exploring Operation: 1890/45=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[63, 45, 58, 28], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [63, 28, 13]
Generated Node #0,0: 42:[63, 28, 13] Operation: 58-45=13
Exploring Operation: 63-58=5, Resulting Numbers: [45, 28, 5]
Generated Node #0,1: 42:[45, 28, 5] Operation: 63-58=5
Exploring Operation: 63-45=18, Resulting Numbers: [58, 28, 18]
Generated Node #0,2: 42:[58, 28, 18] Operation: 63-45=18
Exploring Operation: 58-28=30, Resulting Numbers: [63, 45, 30]
Generated Node #0,3: 42:[63, 45, 30] Operation: 58-28=30
Exploring Operation: 63-28=35, Resulting Numbers: [45, 58, 35]
Generated Node #0,4: 42:[45, 58, 35] Operation: 63-28=35
Moving to Node #0,1
Current State: 42:[45, 28, 5], Operations: ['63-58=5']
Exploring Operation: 28+5=33, Resulting Numbers: [45, 33]
Generated Node #0,1,0: 42:[45, 33] Operation: 28+5=33
Exploring Operation: 45-28=17, Resulting Numbers: [5, 17]
Generated Node #0,1,1: 42:[5, 17] Operation: 45-28=17
Exploring Operation: 28-5=23, Resulting Numbers: [45, 23]
Generated Node #0,1,2: 42:[45, 23] Operation: 28-5=23
Exploring Operation: 45-5=40, Resulting Numbers: [28, 40]
Generated Node #0,1,3: 42:[28, 40] Operation: 45-5=40
Exploring Operation: 45/5=9, Resulting Numbers: [28, 9]
Generated Node #0,1,4: 42:[28, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[5, 17], Operations: ['63-58=5', '45-28=17']
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,42 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[45, 23], Operations: ['63-58=5', '28-5=23']
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 42:[28, 40], Operations: ['63-58=5', '45-5=40']
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,42 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 42:[28, 9], Operations: ['63-58=5', '45/5=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,42 unequal: No Solution
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,42 unequal: No Solution
Exploring Operation: 28*9=252, Resulting Numbers: [252]
252,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[45, 33], Operations: ['63-58=5', '28+5=33']
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,42 unequal: No Solution
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 42:[45, 58, 35], Operations: ['63-28=35']
Exploring Operation: 58-35=23, Resulting Numbers: [45, 23]
Generated Node #0,4,0: 42:[45, 23] Operation: 58-35=23
Exploring Operation: 58-45=13, Resulting Numbers: [35, 13]
Generated Node #0,4,1: 42:[35, 13] Operation: 58-45=13
Exploring Operation: 45+35=80, Resulting Numbers: [58, 80]
Generated Node #0,4,2: 42:[58, 80] Operation: 45+35=80
Exploring Operation: 58+35=93, Resulting Numbers: [45, 93]
Generated Node #0,4,3: 42:[45, 93] Operation: 58+35=93
Exploring Operation: 45-35=10, Resulting Numbers: [58, 10]
Generated Node #0,4,4: 42:[58, 10] Operation: 45-35=10
Moving to Node #0,2
Current State: 42:[58, 28, 18], Operations: ['63-45=18']
Exploring Operation: 28+18=46, Resulting Numbers: [58, 46]
Generated Node #0,2,0: 42:[58, 46] Operation: 28+18=46
Exploring Operation: 58-18=40, Resulting Numbers: [28, 40]
Generated Node #0,2,1: 42:[28, 40] Operation: 58-18=40
Exploring Operation: 28-18=10, Resulting Numbers: [58, 10]
Generated Node #0,2,2: 42:[58, 10] Operation: 28-18=10
Exploring Operation: 58-28=30, Resulting Numbers: [18, 30]
Generated Node #0,2,3: 42:[18, 30] Operation: 58-28=30
Exploring Operation: 58+18=76, Resulting Numbers: [28, 76]
Generated Node #0,2,4: 42:[28, 76] Operation: 58+18=76
Moving to Node #0,0
Current State: 42:[63, 28, 13], Operations: ['58-45=13']
Exploring Operation: 63+13=76, Resulting Numbers: [28, 76]
Generated Node #0,0,0: 42:[28, 76] Operation: 63+13=76
Exploring Operation: 63-13=50, Resulting Numbers: [28, 50]
Generated Node #0,0,1: 42:[28, 50] Operation: 63-13=50
Exploring Operation: 28+13=41, Resulting Numbers: [63, 41]
Generated Node #0,0,2: 42:[63, 41] Operation: 28+13=41
Exploring Operation: 63-28=35, Resulting Numbers: [13, 35]
Generated Node #0,0,3: 42:[13, 35] Operation: 63-28=35
Exploring Operation: 28-13=15, Resulting Numbers: [63, 15]
Generated Node #0,0,4: 42:[63, 15] Operation: 28-13=15
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 42:[13, 35], Operations: ['58-45=13', '63-28=35']
Exploring Operation: 13+35=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 13*35=455, Resulting Numbers: [455]
455,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 42:[28, 50], Operations: ['58-45=13', '63-13=50']
Exploring Operation: 28+50=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 28*50=1400, Resulting Numbers: [1400]
1400,42 unequal: No Solution
Exploring Operation: 50-28=22, Resulting Numbers: [22]
22,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 42:[63, 41], Operations: ['58-45=13', '28+13=41']
Exploring Operation: 63+41=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 63*41=2583, Resulting Numbers: [2583]
2583,42 unequal: No Solution
Exploring Operation: 63-41=22, Resulting Numbers: [22]
22,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 42:[63, 15], Operations: ['58-45=13', '28-13=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 42:[28, 76], Operations: ['58-45=13', '63+13=76']
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,42 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: 42:[63, 45, 30], Operations: ['58-28=30']
Exploring Operation: 45-30=15, Resulting Numbers: [63, 15]
Generated Node #0,3,0: 42:[63, 15] Operation: 45-30=15
Exploring Operation: 63-30=33, Resulting Numbers: [45, 33]
Generated Node #0,3,1: 42:[45, 33] Operation: 63-30=33
Exploring Operation: 63+30=93, Resulting Numbers: [45, 93]
Generated Node #0,3,2: 42:[45, 93] Operation: 63+30=93
Exploring Operation: 63-45=18, Resulting Numbers: [30, 18]
Generated Node #0,3,3: 42:[30, 18] Operation: 63-45=18
Exploring Operation: 45+30=75, Resulting Numbers: [63, 75]
Generated Node #0,3,4: 42:[63, 75] Operation: 45+30=75
Moving to Node #0,4,0
Current State: 42:[45, 23], Operations: ['63-28=35', '58-35=23']
Exploring Operation: 45+23=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 45*23=1035, Resulting Numbers: [1035]
1035,42 unequal: No Solution
Exploring Operation: 45-23=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Moving to Node #0,4,1
Current State: 42:[35, 13], Operations: ['63-28=35', '58-45=13']
Exploring Operation: 35*13=455, Resulting Numbers: [455]
455,42 unequal: No Solution
Exploring Operation: 35+13=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 35-13=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Moving to Node #0,2,1
Current State: 42:[28, 40], Operations: ['63-45=18', '58-18=40']
Exploring Operation: 40-28=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 28*40=1120, Resulting Numbers: [1120]
1120,42 unequal: No Solution
Exploring Operation: 28+40=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Moving to Node #0,2,3
Current State: 42:[18, 30], Operations: ['63-45=18', '58-28=30']
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 18*30=540, Resulting Numbers: [540]
540,42 unequal: No Solution
Exploring Operation: 18+30=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[30, 18], Operations: ['58-28=30', '63-45=18']
Exploring Operation: 30+18=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 30-18=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 30*18=540, Resulting Numbers: [540]
540,42 unequal: No Solution
Moving to Node #0,3,1
Current State: 42:[45, 33], Operations: ['58-28=30', '63-30=33']
Exploring Operation: 45*33=1485, Resulting Numbers: [1485]
1485,42 unequal: No Solution
Exploring Operation: 45-33=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 45+33=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Moving to Node #0,4,4
Current State: 42:[58, 10], Operations: ['63-28=35', '45-35=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,42 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Moving to Node #0,2,2
Current State: 42:[58, 10], Operations: ['63-45=18', '28-18=10']
Exploring Operation: 58*10=580, Resulting Numbers: [580]
580,42 unequal: No Solution
Exploring Operation: 58-10=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 58+10=68, Resulting Numbers: [68]
68,42 unequal: No Solution
Moving to Node #0,2,0
Current State: 42:[58, 46], Operations: ['63-45=18', '28+18=46']
Exploring Operation: 58-46=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 58*46=2668, Resulting Numbers: [2668]
2668,42 unequal: No Solution
Exploring Operation: 58+46=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Moving to Node #0,3,0
Current State: 42:[63, 15], Operations: ['58-28=30', '45-30=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,42 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,42 unequal: No Solution
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Moving to Node #0,2,4
Current State: 42:[28, 76], Operations: ['63-45=18', '58+18=76']
Exploring Operation: 28+76=104, Resulting Numbers: [104]
104,42 unequal: No Solution
Exploring Operation: 76-28=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 28*76=2128, Resulting Numbers: [2128]
2128,42 unequal: No Solution
Moving to Node #0,4,3
Current State: 42:[45, 93], Operations: ['63-28=35', '58+35=93']
Exploring Operation: 45+93=138, Resulting Numbers: [138]
138,42 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Exploring Operation: 45*93=4185, Resulting Numbers: [4185]
4185,42 unequal: No Solution
Moving to Node #0,3,2
Current State: 42:[45, 93], Operations: ['58-28=30', '63+30=93']
Exploring Operation: 45+93=138, Resulting Numbers: [138]
138,42 unequal: No Solution
Exploring Operation: 45*93=4185, Resulting Numbers: [4185]
4185,42 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,42 unequal: No Solution
Moving to Node #0,3,4
Current State: 42:[63, 75], Operations: ['58-28=30', '45+30=75']
Exploring Operation: 75-63=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 63*75=4725, Resulting Numbers: [4725]
4725,42 unequal: No Solution
Exploring Operation: 63+75=138, Resulting Numbers: [138]
138,42 unequal: No Solution
Moving to Node #0,4,2
Current State: 42:[58, 80], Operations: ['63-28=35', '45+35=80']
Exploring Operation: 58+80=138, Resulting Numbers: [138]
138,42 unequal: No Solution
Exploring Operation: 80-58=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 58*80=4640, Resulting Numbers: [4640]
4640,42 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
3,
39,
64,
63
] | 35 | [
"39-3=36",
"64-63=1",
"36-1=35"
] | Current State: 35:[3, 39, 64, 63], Operations: []
Exploring Operation: 39-3=36, Resulting Numbers: [64, 63, 36]
Generated Node #2: [64, 63, 36] from Operation: 39-3=36
Current State: 35:[64, 63, 36], Operations: ['39-3=36']
Exploring Operation: 64-63=1, Resulting Numbers: [36, 1]
Generated Node #3: [36, 1] from Operation: 64-63=1
Current State: 35:[36, 1], Operations: ['39-3=36', '64-63=1']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[3, 39, 64, 63], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [3, 39, 1]
Generated Node #0,0: 35:[3, 39, 1] Operation: 64-63=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[3, 39, 1], Operations: ['64-63=1']
Exploring Operation: 39-3=36, Resulting Numbers: [1, 36]
Generated Node #0,0,0: 35:[1, 36] Operation: 39-3=36
Moving to Node #0,0,0
Current State: 35:[1, 36], Operations: ['64-63=1', '39-3=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[3, 39, 64, 63], Operations: []
Exploring Operation: 64-63=1, Resulting Numbers: [3, 39, 1]
Generated Node #0,0: 35:[3, 39, 1] Operation: 64-63=1
Moving to Node #0,0
Current State: 35:[3, 39, 1], Operations: ['64-63=1']
Exploring Operation: 39-3=36, Resulting Numbers: [1, 36]
Generated Node #0,0,0: 35:[1, 36] Operation: 39-3=36
Moving to Node #0,0,0
Current State: 35:[1, 36], Operations: ['64-63=1', '39-3=36']
Exploring Operation: 36-1=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
10,
3,
8,
77
] | 91 | [
"77-10=67",
"3*8=24",
"67+24=91"
] | Current State: 91:[10, 3, 8, 77], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [3, 8, 67]
Generated Node #2: [3, 8, 67] from Operation: 77-10=67
Current State: 91:[3, 8, 67], Operations: ['77-10=67']
Exploring Operation: 3*8=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 3*8=24
Current State: 91:[67, 24], Operations: ['77-10=67', '3*8=24']
Exploring Operation: 67+24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[10, 3, 8, 77], Operations: []
Exploring Operation: 10+77=87, Resulting Numbers: [3, 8, 87]
Generated Node #0,0: 91:[3, 8, 87] Operation: 10+77=87
Moving to Node #0,0
Current State: 91:[3, 8, 87], Operations: ['10+77=87']
Exploring Operation: 3+87=90, Resulting Numbers: [8, 90]
Generated Node #0,0,0: 91:[8, 90] Operation: 3+87=90
Moving to Node #0,0,0
Current State: 91:[8, 90], Operations: ['10+77=87', '3+87=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,91 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
88,
6,
8
] | 84 | [
"6+8=14",
"56/14=4",
"88-4=84"
] | Current State: 84:[56, 88, 6, 8], Operations: []
Exploring Operation: 6+8=14, Resulting Numbers: [56, 88, 14]
Generated Node #2: [56, 88, 14] from Operation: 6+8=14
Current State: 84:[56, 88, 14], Operations: ['6+8=14']
Exploring Operation: 56/14=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 56/14=4
Current State: 84:[88, 4], Operations: ['6+8=14', '56/14=4']
Exploring Operation: 88-4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[56, 88, 6, 8], Operations: []
Exploring Operation: 88-56=32, Resulting Numbers: [6, 8, 32]
Generated Node #0,0: 84:[6, 8, 32] Operation: 88-56=32
Exploring Operation: 56-8=48, Resulting Numbers: [88, 6, 48]
Generated Node #0,1: 84:[88, 6, 48] Operation: 56-8=48
Exploring Operation: 56/8=7, Resulting Numbers: [88, 6, 7]
Generated Node #0,2: 84:[88, 6, 7] Operation: 56/8=7
Moving to Node #0,2
Current State: 84:[88, 6, 7], Operations: ['56/8=7']
Exploring Operation: 88-7=81, Resulting Numbers: [6, 81]
Generated Node #0,2,0: 84:[6, 81] Operation: 88-7=81
Exploring Operation: 88-6=82, Resulting Numbers: [7, 82]
Generated Node #0,2,1: 84:[7, 82] Operation: 88-6=82
Exploring Operation: 6*7=42, Resulting Numbers: [88, 42]
Generated Node #0,2,2: 84:[88, 42] Operation: 6*7=42
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 84:[7, 82], Operations: ['56/8=7', '88-6=82']
Exploring Operation: 7*82=574, Resulting Numbers: [574]
574,84 unequal: No Solution
Exploring Operation: 7+82=89, Resulting Numbers: [89]
89,84 unequal: No Solution
Exploring Operation: 82-7=75, Resulting Numbers: [75]
75,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[6, 81], Operations: ['56/8=7', '88-7=81']
Exploring Operation: 6*81=486, Resulting Numbers: [486]
486,84 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,84 unequal: No Solution
Exploring Operation: 6+81=87, Resulting Numbers: [87]
87,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[88, 42], Operations: ['56/8=7', '6*7=42']
Exploring Operation: 88+42=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Exploring Operation: 88*42=3696, Resulting Numbers: [3696]
3696,84 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 84:[6, 8, 32], Operations: ['88-56=32']
Exploring Operation: 32/8=4, Resulting Numbers: [6, 4]
Generated Node #0,0,0: 84:[6, 4] Operation: 32/8=4
Exploring Operation: 32-6=26, Resulting Numbers: [8, 26]
Generated Node #0,0,1: 84:[8, 26] Operation: 32-6=26
Exploring Operation: 8+32=40, Resulting Numbers: [6, 40]
Generated Node #0,0,2: 84:[6, 40] Operation: 8+32=40
Moving to Node #0,1
Current State: 84:[88, 6, 48], Operations: ['56-8=48']
Exploring Operation: 48/6=8, Resulting Numbers: [88, 8]
Generated Node #0,1,0: 84:[88, 8] Operation: 48/6=8
Exploring Operation: 88-48=40, Resulting Numbers: [6, 40]
Generated Node #0,1,1: 84:[6, 40] Operation: 88-48=40
Exploring Operation: 48-6=42, Resulting Numbers: [88, 42]
Generated Node #0,1,2: 84:[88, 42] Operation: 48-6=42
Moving to Node #0,0,0
Current State: 84:[6, 4], Operations: ['88-56=32', '32/8=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,84 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[6, 40], Operations: ['88-56=32', '8+32=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,84 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[6, 40], Operations: ['56-8=48', '88-48=40']
Exploring Operation: 6*40=240, Resulting Numbers: [240]
240,84 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Exploring Operation: 6+40=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[8, 26], Operations: ['88-56=32', '32-6=26']
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,84 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,84 unequal: No Solution
Moving to Node #0,1,2
Current State: 84:[88, 42], Operations: ['56-8=48', '48-6=42']
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 88*42=3696, Resulting Numbers: [3696]
3696,84 unequal: No Solution
Exploring Operation: 88+42=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[88, 8], Operations: ['56-8=48', '48/6=8']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,84 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,84 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
44,
8,
48,
1
] | 49 | [
"44-1=43",
"48/8=6",
"43+6=49"
] | Current State: 49:[44, 8, 48, 1], Operations: []
Exploring Operation: 44-1=43, Resulting Numbers: [8, 48, 43]
Generated Node #2: [8, 48, 43] from Operation: 44-1=43
Current State: 49:[8, 48, 43], Operations: ['44-1=43']
Exploring Operation: 48/8=6, Resulting Numbers: [43, 6]
Generated Node #3: [43, 6] from Operation: 48/8=6
Current State: 49:[43, 6], Operations: ['44-1=43', '48/8=6']
Exploring Operation: 43+6=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[44, 8, 48, 1], Operations: []
Exploring Operation: 44+1=45, Resulting Numbers: [8, 48, 45]
Generated Node #0,0: 49:[8, 48, 45] Operation: 44+1=45
Exploring Operation: 8-1=7, Resulting Numbers: [44, 48, 7]
Generated Node #0,1: 49:[44, 48, 7] Operation: 8-1=7
Moving to Node #0,0
Current State: 49:[8, 48, 45], Operations: ['44+1=45']
Exploring Operation: 48/8=6, Resulting Numbers: [45, 6]
Generated Node #0,0,0: 49:[45, 6] Operation: 48/8=6
Exploring Operation: 8+45=53, Resulting Numbers: [48, 53]
Generated Node #0,0,1: 49:[48, 53] Operation: 8+45=53
Moving to Node #0,1
Current State: 49:[44, 48, 7], Operations: ['8-1=7']
Exploring Operation: 44+7=51, Resulting Numbers: [48, 51]
Generated Node #0,1,0: 49:[48, 51] Operation: 44+7=51
Exploring Operation: 48-44=4, Resulting Numbers: [7, 4]
Generated Node #0,1,1: 49:[7, 4] Operation: 48-44=4
Moving to Node #0,1,0
Current State: 49:[48, 51], Operations: ['8-1=7', '44+7=51']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[7, 4], Operations: ['8-1=7', '48-44=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[48, 53], Operations: ['44+1=45', '8+45=53']
Exploring Operation: 53-48=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 48+53=101, Resulting Numbers: [101]
101,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[45, 6], Operations: ['44+1=45', '48/8=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,49 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,49 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
2,
10,
99,
65
] | 42 | [
"10-2=8",
"99-65=34",
"8+34=42"
] | Current State: 42:[2, 10, 99, 65], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [99, 65, 8]
Generated Node #2: [99, 65, 8] from Operation: 10-2=8
Current State: 42:[99, 65, 8], Operations: ['10-2=8']
Exploring Operation: 99-65=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 99-65=34
Current State: 42:[8, 34], Operations: ['10-2=8', '99-65=34']
Exploring Operation: 8+34=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[2, 10, 99, 65], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [2, 10, 34]
Generated Node #0,0: 42:[2, 10, 34] Operation: 99-65=34
Exploring Operation: 99-10=89, Resulting Numbers: [2, 65, 89]
Generated Node #0,1: 42:[2, 65, 89] Operation: 99-10=89
Moving to Node #0,0
Current State: 42:[2, 10, 34], Operations: ['99-65=34']
Exploring Operation: 10+34=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 42:[2, 44] Operation: 10+34=44
Exploring Operation: 34-10=24, Resulting Numbers: [2, 24]
Generated Node #0,0,1: 42:[2, 24] Operation: 34-10=24
Moving to Node #0,1
Current State: 42:[2, 65, 89], Operations: ['99-10=89']
Exploring Operation: 65-2=63, Resulting Numbers: [89, 63]
Generated Node #0,1,0: 42:[89, 63] Operation: 65-2=63
Exploring Operation: 89-65=24, Resulting Numbers: [2, 24]
Generated Node #0,1,1: 42:[2, 24] Operation: 89-65=24
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[2, 24], Operations: ['99-10=89', '89-65=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,42 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[89, 63], Operations: ['99-10=89', '65-2=63']
Exploring Operation: 89-63=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 89+63=152, Resulting Numbers: [152]
152,42 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: 42:[2, 44], Operations: ['99-65=34', '10+34=44']
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[2, 10, 99, 65], Operations: []
Exploring Operation: 99-65=34, Resulting Numbers: [2, 10, 34]
Generated Node #0,0: 42:[2, 10, 34] Operation: 99-65=34
Moving to Node #0,0
Current State: 42:[2, 10, 34], Operations: ['99-65=34']
Exploring Operation: 10+34=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 42:[2, 44] Operation: 10+34=44
Moving to Node #0,0,0
Current State: 42:[2, 44], Operations: ['99-65=34', '10+34=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
12,
45,
75,
2
] | 93 | [
"12+45=57",
"75*2=150",
"150-57=93"
] | Current State: 93:[12, 45, 75, 2], Operations: []
Exploring Operation: 12+45=57, Resulting Numbers: [75, 2, 57]
Generated Node #2: [75, 2, 57] from Operation: 12+45=57
Current State: 93:[75, 2, 57], Operations: ['12+45=57']
Exploring Operation: 75*2=150, Resulting Numbers: [57, 150]
Generated Node #3: [57, 150] from Operation: 75*2=150
Current State: 93:[57, 150], Operations: ['12+45=57', '75*2=150']
Exploring Operation: 150-57=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[12, 45, 75, 2], Operations: []
Exploring Operation: 75-45=30, Resulting Numbers: [12, 2, 30]
Generated Node #0,0: 93:[12, 2, 30] Operation: 75-45=30
Exploring Operation: 45-12=33, Resulting Numbers: [75, 2, 33]
Generated Node #0,1: 93:[75, 2, 33] Operation: 45-12=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[12, 2, 30], Operations: ['75-45=30']
Exploring Operation: 12/2=6, Resulting Numbers: [30, 6]
Generated Node #0,0,0: 93:[30, 6] Operation: 12/2=6
Exploring Operation: 12*2=24, Resulting Numbers: [30, 24]
Generated Node #0,0,1: 93:[30, 24] Operation: 12*2=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[30, 6], Operations: ['75-45=30', '12/2=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,93 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:[30, 24], Operations: ['75-45=30', '12*2=24']
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,93 unequal: No Solution
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,93 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:[75, 2, 33], Operations: ['45-12=33']
Exploring Operation: 75+33=108, Resulting Numbers: [2, 108]
Generated Node #0,1,0: 93:[2, 108] Operation: 75+33=108
Exploring Operation: 75-33=42, Resulting Numbers: [2, 42]
Generated Node #0,1,1: 93:[2, 42] Operation: 75-33=42
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[2, 42], Operations: ['45-12=33', '75-33=42']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,93 unequal: No Solution
Exploring Operation: 2*42=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:[2, 108], Operations: ['45-12=33', '75+33=108']
Exploring Operation: 2+108=110, Resulting Numbers: [110]
110,93 unequal: No Solution
Exploring Operation: 108-2=106, Resulting Numbers: [106]
106,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
51,
62,
74,
64
] | 97 | [
"64-62=2",
"74*2=148",
"148-51=97"
] | Current State: 97:[51, 62, 74, 64], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [51, 74, 2]
Generated Node #2: [51, 74, 2] from Operation: 64-62=2
Current State: 97:[51, 74, 2], Operations: ['64-62=2']
Exploring Operation: 74*2=148, Resulting Numbers: [51, 148]
Generated Node #3: [51, 148] from Operation: 74*2=148
Current State: 97:[51, 148], Operations: ['64-62=2', '74*2=148']
Exploring Operation: 148-51=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[51, 62, 74, 64], Operations: []
Exploring Operation: 51+64=115, Resulting Numbers: [62, 74, 115]
Generated Node #0,0: 97:[62, 74, 115] Operation: 51+64=115
Exploring Operation: 51+62=113, Resulting Numbers: [74, 64, 113]
Generated Node #0,1: 97:[74, 64, 113] Operation: 51+62=113
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[74, 64, 113], Operations: ['51+62=113']
Exploring Operation: 74+64=138, Resulting Numbers: [113, 138]
Generated Node #0,1,0: 97:[113, 138] Operation: 74+64=138
Exploring Operation: 113-64=49, Resulting Numbers: [74, 49]
Generated Node #0,1,1: 97:[74, 49] Operation: 113-64=49
Moving to Node #0,1,0
Current State: 97:[113, 138], Operations: ['51+62=113', '74+64=138']
Exploring Operation: 138-113=25, Resulting Numbers: [25]
25,97 unequal: No Solution
Exploring Operation: 113+138=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Moving to Node #0,1,1
Current State: 97:[74, 49], Operations: ['51+62=113', '113-64=49']
Exploring Operation: 74+49=123, Resulting Numbers: [123]
123,97 unequal: No Solution
Exploring Operation: 74-49=25, Resulting Numbers: [25]
25,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[62, 74, 115], Operations: ['51+64=115']
Exploring Operation: 62+74=136, Resulting Numbers: [115, 136]
Generated Node #0,0,0: 97:[115, 136] Operation: 62+74=136
Exploring Operation: 115-62=53, Resulting Numbers: [74, 53]
Generated Node #0,0,1: 97:[74, 53] Operation: 115-62=53
Moving to Node #0,0,0
Current State: 97:[115, 136], Operations: ['51+64=115', '62+74=136']
Exploring Operation: 115+136=251, Resulting Numbers: [251]
251,97 unequal: No Solution
Exploring Operation: 136-115=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[74, 53], Operations: ['51+64=115', '115-62=53']
Exploring Operation: 74-53=21, Resulting Numbers: [21]
21,97 unequal: No Solution
Exploring Operation: 74+53=127, Resulting Numbers: [127]
127,97 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 |
[
38,
3,
70,
61
] | 75 | [
"38+70=108",
"3*61=183",
"183-108=75"
] | Current State: 75:[38, 3, 70, 61], Operations: []
Exploring Operation: 38+70=108, Resulting Numbers: [3, 61, 108]
Generated Node #2: [3, 61, 108] from Operation: 38+70=108
Current State: 75:[3, 61, 108], Operations: ['38+70=108']
Exploring Operation: 3*61=183, Resulting Numbers: [108, 183]
Generated Node #3: [108, 183] from Operation: 3*61=183
Current State: 75:[108, 183], Operations: ['38+70=108', '3*61=183']
Exploring Operation: 183-108=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[38, 3, 70, 61], Operations: []
Exploring Operation: 61-38=23, Resulting Numbers: [3, 70, 23]
Generated Node #0,0: 75:[3, 70, 23] Operation: 61-38=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[3, 70, 23], Operations: ['61-38=23']
Exploring Operation: 3+70=73, Resulting Numbers: [23, 73]
Generated Node #0,0,0: 75:[23, 73] Operation: 3+70=73
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 75:[23, 73], Operations: ['61-38=23', '3+70=73']
Exploring Operation: 23+73=96, Resulting Numbers: [96]
96,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
70,
9,
43,
49
] | 46 | [
"70-43=27",
"27/9=3",
"49-3=46"
] | Current State: 46:[70, 9, 43, 49], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [9, 49, 27]
Generated Node #2: [9, 49, 27] from Operation: 70-43=27
Current State: 46:[9, 49, 27], Operations: ['70-43=27']
Exploring Operation: 27/9=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 27/9=3
Current State: 46:[49, 3], Operations: ['70-43=27', '27/9=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[70, 9, 43, 49], Operations: []
Exploring Operation: 70-49=21, Resulting Numbers: [9, 43, 21]
Generated Node #0,0: 46:[9, 43, 21] Operation: 70-49=21
Exploring Operation: 70-43=27, Resulting Numbers: [9, 49, 27]
Generated Node #0,1: 46:[9, 49, 27] Operation: 70-43=27
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[9, 43, 21], Operations: ['70-49=21']
Exploring Operation: 43-21=22, Resulting Numbers: [9, 22]
Generated Node #0,0,0: 46:[9, 22] Operation: 43-21=22
Exploring Operation: 9+43=52, Resulting Numbers: [21, 52]
Generated Node #0,0,1: 46:[21, 52] Operation: 9+43=52
Moving to Node #0,0,0
Current State: 46:[9, 22], Operations: ['70-49=21', '43-21=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,46 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[21, 52], Operations: ['70-49=21', '9+43=52']
Exploring Operation: 21+52=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 52-21=31, Resulting Numbers: [31]
31,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[9, 49, 27], Operations: ['70-43=27']
Exploring Operation: 27/9=3, Resulting Numbers: [49, 3]
Generated Node #0,1,0: 46:[49, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [49, 18]
Generated Node #0,1,1: 46:[49, 18] Operation: 27-9=18
Moving to Node #0,1,0
Current State: 46:[49, 3], Operations: ['70-43=27', '27/9=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,46 unequal: No Solution
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[70, 9, 43, 49], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [9, 49, 27]
Generated Node #0,1: 46:[9, 49, 27] Operation: 70-43=27
Moving to Node #0,1
Current State: 46:[9, 49, 27], Operations: ['70-43=27']
Exploring Operation: 27/9=3, Resulting Numbers: [49, 3]
Generated Node #0,1,0: 46:[49, 3] Operation: 27/9=3
Moving to Node #0,1,0
Current State: 46:[49, 3], Operations: ['70-43=27', '27/9=3']
Exploring Operation: 49-3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_2 | sum_heuristic |
[
31,
16,
36,
75
] | 86 | [
"31+16=47",
"75-36=39",
"47+39=86"
] | Current State: 86:[31, 16, 36, 75], Operations: []
Exploring Operation: 31+16=47, Resulting Numbers: [36, 75, 47]
Generated Node #2: [36, 75, 47] from Operation: 31+16=47
Current State: 86:[36, 75, 47], Operations: ['31+16=47']
Exploring Operation: 75-36=39, Resulting Numbers: [47, 39]
Generated Node #3: [47, 39] from Operation: 75-36=39
Current State: 86:[47, 39], Operations: ['31+16=47', '75-36=39']
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[31, 16, 36, 75], Operations: []
Exploring Operation: 75-36=39, Resulting Numbers: [31, 16, 39]
Generated Node #0,0: 86:[31, 16, 39] Operation: 75-36=39
Exploring Operation: 31+16=47, Resulting Numbers: [36, 75, 47]
Generated Node #0,1: 86:[36, 75, 47] Operation: 31+16=47
Exploring Operation: 75-31=44, Resulting Numbers: [16, 36, 44]
Generated Node #0,2: 86:[16, 36, 44] Operation: 75-31=44
Exploring Operation: 36-31=5, Resulting Numbers: [16, 75, 5]
Generated Node #0,3: 86:[16, 75, 5] Operation: 36-31=5
Exploring Operation: 16+75=91, Resulting Numbers: [31, 36, 91]
Generated Node #0,4: 86:[31, 36, 91] Operation: 16+75=91
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[36, 75, 47], Operations: ['31+16=47']
Exploring Operation: 47-36=11, Resulting Numbers: [75, 11]
Generated Node #0,1,0: 86:[75, 11] Operation: 47-36=11
Exploring Operation: 75-36=39, Resulting Numbers: [47, 39]
Generated Node #0,1,1: 86:[47, 39] Operation: 75-36=39
Exploring Operation: 75-47=28, Resulting Numbers: [36, 28]
Generated Node #0,1,2: 86:[36, 28] Operation: 75-47=28
Exploring Operation: 36+47=83, Resulting Numbers: [75, 83]
Generated Node #0,1,3: 86:[75, 83] Operation: 36+47=83
Exploring Operation: 36+75=111, Resulting Numbers: [47, 111]
Generated Node #0,1,4: 86:[47, 111] Operation: 36+75=111
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[47, 39], Operations: ['31+16=47', '75-36=39']
Exploring Operation: 47*39=1833, Resulting Numbers: [1833]
1833,86 unequal: No Solution
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[31, 16, 36, 75], Operations: []
Exploring Operation: 31+16=47, Resulting Numbers: [36, 75, 47]
Generated Node #0,1: 86:[36, 75, 47] Operation: 31+16=47
Moving to Node #0,1
Current State: 86:[36, 75, 47], Operations: ['31+16=47']
Exploring Operation: 75-36=39, Resulting Numbers: [47, 39]
Generated Node #0,1,1: 86:[47, 39] Operation: 75-36=39
Moving to Node #0,1,1
Current State: 86:[47, 39], Operations: ['31+16=47', '75-36=39']
Exploring Operation: 47+39=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
45,
23,
13,
70
] | 26 | [
"45+23=68",
"70-68=2",
"13*2=26"
] | Current State: 26:[45, 23, 13, 70], Operations: []
Exploring Operation: 45+23=68, Resulting Numbers: [13, 70, 68]
Generated Node #2: [13, 70, 68] from Operation: 45+23=68
Current State: 26:[13, 70, 68], Operations: ['45+23=68']
Exploring Operation: 70-68=2, Resulting Numbers: [13, 2]
Generated Node #3: [13, 2] from Operation: 70-68=2
Current State: 26:[13, 2], Operations: ['45+23=68', '70-68=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[45, 23, 13, 70], Operations: []
Exploring Operation: 45-13=32, Resulting Numbers: [23, 70, 32]
Generated Node #0,0: 26:[23, 70, 32] Operation: 45-13=32
Exploring Operation: 70-13=57, Resulting Numbers: [45, 23, 57]
Generated Node #0,1: 26:[45, 23, 57] Operation: 70-13=57
Exploring Operation: 45-23=22, Resulting Numbers: [13, 70, 22]
Generated Node #0,2: 26:[13, 70, 22] Operation: 45-23=22
Exploring Operation: 70-23=47, Resulting Numbers: [45, 13, 47]
Generated Node #0,3: 26:[45, 13, 47] Operation: 70-23=47
Exploring Operation: 70-45=25, Resulting Numbers: [23, 13, 25]
Generated Node #0,4: 26:[23, 13, 25] Operation: 70-45=25
Start Sub Search at level 1: Moving to Node #0,4
Current State: 26:[23, 13, 25], Operations: ['70-45=25']
Exploring Operation: 13+25=38, Resulting Numbers: [23, 38]
Generated Node #0,4,0: 26:[23, 38] Operation: 13+25=38
Exploring Operation: 23-13=10, Resulting Numbers: [25, 10]
Generated Node #0,4,1: 26:[25, 10] Operation: 23-13=10
Exploring Operation: 25-13=12, Resulting Numbers: [23, 12]
Generated Node #0,4,2: 26:[23, 12] Operation: 25-13=12
Exploring Operation: 23+13=36, Resulting Numbers: [25, 36]
Generated Node #0,4,3: 26:[25, 36] Operation: 23+13=36
Exploring Operation: 25-23=2, Resulting Numbers: [13, 2]
Generated Node #0,4,4: 26:[13, 2] Operation: 25-23=2
Moving to Node #0,4,4
Current State: 26:[13, 2], Operations: ['70-45=25', '25-23=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[45, 23, 13, 70], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [23, 13, 25]
Generated Node #0,4: 26:[23, 13, 25] Operation: 70-45=25
Moving to Node #0,4
Current State: 26:[23, 13, 25], Operations: ['70-45=25']
Exploring Operation: 25-23=2, Resulting Numbers: [13, 2]
Generated Node #0,4,4: 26:[13, 2] Operation: 25-23=2
Moving to Node #0,4,4
Current State: 26:[13, 2], Operations: ['70-45=25', '25-23=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
86,
39,
71,
37
] | 91 | [
"86+39=125",
"71-37=34",
"125-34=91"
] | Current State: 91:[86, 39, 71, 37], Operations: []
Exploring Operation: 86+39=125, Resulting Numbers: [71, 37, 125]
Generated Node #2: [71, 37, 125] from Operation: 86+39=125
Current State: 91:[71, 37, 125], Operations: ['86+39=125']
Exploring Operation: 71-37=34, Resulting Numbers: [125, 34]
Generated Node #3: [125, 34] from Operation: 71-37=34
Current State: 91:[125, 34], Operations: ['86+39=125', '71-37=34']
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[86, 39, 71, 37], Operations: []
Exploring Operation: 39+37=76, Resulting Numbers: [86, 71, 76]
Generated Node #0,0: 91:[86, 71, 76] Operation: 39+37=76
Exploring Operation: 39-37=2, Resulting Numbers: [86, 71, 2]
Generated Node #0,1: 91:[86, 71, 2] Operation: 39-37=2
Exploring Operation: 39+71=110, Resulting Numbers: [86, 37, 110]
Generated Node #0,2: 91:[86, 37, 110] Operation: 39+71=110
Moving to Node #0,1
Current State: 91:[86, 71, 2], Operations: ['39-37=2']
Exploring Operation: 71+2=73, Resulting Numbers: [86, 73]
Generated Node #0,1,0: 91:[86, 73] Operation: 71+2=73
Exploring Operation: 86-71=15, Resulting Numbers: [2, 15]
Generated Node #0,1,1: 91:[2, 15] Operation: 86-71=15
Exploring Operation: 86+2=88, Resulting Numbers: [71, 88]
Generated Node #0,1,2: 91:[71, 88] Operation: 86+2=88
Moving to Node #0,0
Current State: 91:[86, 71, 76], Operations: ['39+37=76']
Exploring Operation: 76-71=5, Resulting Numbers: [86, 5]
Generated Node #0,0,0: 91:[86, 5] Operation: 76-71=5
Exploring Operation: 86-71=15, Resulting Numbers: [76, 15]
Generated Node #0,0,1: 91:[76, 15] Operation: 86-71=15
Exploring Operation: 86-76=10, Resulting Numbers: [71, 10]
Generated Node #0,0,2: 91:[71, 10] Operation: 86-76=10
Moving to Node #0,2
Current State: 91:[86, 37, 110], Operations: ['39+71=110']
Exploring Operation: 86+37=123, Resulting Numbers: [110, 123]
Generated Node #0,2,0: 91:[110, 123] Operation: 86+37=123
Exploring Operation: 110-37=73, Resulting Numbers: [86, 73]
Generated Node #0,2,1: 91:[86, 73] Operation: 110-37=73
Exploring Operation: 110-86=24, Resulting Numbers: [37, 24]
Generated Node #0,2,2: 91:[37, 24] Operation: 110-86=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 91:[86, 73], Operations: ['39+71=110', '110-37=73']
Exploring Operation: 86*73=6278, Resulting Numbers: [6278]
6278,91 unequal: No Solution
Exploring Operation: 86+73=159, Resulting Numbers: [159]
159,91 unequal: No Solution
Exploring Operation: 86-73=13, Resulting Numbers: [13]
13,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 91:[37, 24], Operations: ['39+71=110', '110-86=24']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Exploring Operation: 37+24=61, Resulting Numbers: [61]
61,91 unequal: No Solution
Exploring Operation: 37*24=888, Resulting Numbers: [888]
888,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 91:[110, 123], Operations: ['39+71=110', '86+37=123']
Exploring Operation: 110+123=233, Resulting Numbers: [233]
233,91 unequal: No Solution
Exploring Operation: 110*123=13530, Resulting Numbers: [13530]
13530,91 unequal: No Solution
Exploring Operation: 123-110=13, Resulting Numbers: [13]
13,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 91:[2, 15], Operations: ['39-37=2', '86-71=15']
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,91 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,91 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[86, 5], Operations: ['39+37=76', '76-71=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[86, 39, 71, 37], Operations: []
Exploring Operation: 39+37=76, Resulting Numbers: [86, 71, 76]
Generated Node #0,0: 91:[86, 71, 76] Operation: 39+37=76
Moving to Node #0,0
Current State: 91:[86, 71, 76], Operations: ['39+37=76']
Exploring Operation: 76-71=5, Resulting Numbers: [86, 5]
Generated Node #0,0,0: 91:[86, 5] Operation: 76-71=5
Moving to Node #0,0,0
Current State: 91:[86, 5], Operations: ['39+37=76', '76-71=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
26,
71,
79,
11
] | 23 | [
"71-26=45",
"79-11=68",
"68-45=23"
] | Current State: 23:[26, 71, 79, 11], Operations: []
Exploring Operation: 71-26=45, Resulting Numbers: [79, 11, 45]
Generated Node #2: [79, 11, 45] from Operation: 71-26=45
Current State: 23:[79, 11, 45], Operations: ['71-26=45']
Exploring Operation: 79-11=68, Resulting Numbers: [45, 68]
Generated Node #3: [45, 68] from Operation: 79-11=68
Current State: 23:[45, 68], Operations: ['71-26=45', '79-11=68']
Exploring Operation: 68-45=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[26, 71, 79, 11], Operations: []
Exploring Operation: 79-26=53, Resulting Numbers: [71, 11, 53]
Generated Node #0,0: 23:[71, 11, 53] Operation: 79-26=53
Exploring Operation: 71-26=45, Resulting Numbers: [79, 11, 45]
Generated Node #0,1: 23:[79, 11, 45] Operation: 71-26=45
Exploring Operation: 79-71=8, Resulting Numbers: [26, 11, 8]
Generated Node #0,2: 23:[26, 11, 8] Operation: 79-71=8
Exploring Operation: 79-11=68, Resulting Numbers: [26, 71, 68]
Generated Node #0,3: 23:[26, 71, 68] Operation: 79-11=68
Exploring Operation: 71-11=60, Resulting Numbers: [26, 79, 60]
Generated Node #0,4: 23:[26, 79, 60] Operation: 71-11=60
Moving to Node #0,2
Current State: 23:[26, 11, 8], Operations: ['79-71=8']
Exploring Operation: 26-11=15, Resulting Numbers: [8, 15]
Generated Node #0,2,0: 23:[8, 15] Operation: 26-11=15
Exploring Operation: 11+8=19, Resulting Numbers: [26, 19]
Generated Node #0,2,1: 23:[26, 19] Operation: 11+8=19
Exploring Operation: 11-8=3, Resulting Numbers: [26, 3]
Generated Node #0,2,2: 23:[26, 3] Operation: 11-8=3
Exploring Operation: 26-8=18, Resulting Numbers: [11, 18]
Generated Node #0,2,3: 23:[11, 18] Operation: 26-8=18
Exploring Operation: 26+8=34, Resulting Numbers: [11, 34]
Generated Node #0,2,4: 23:[11, 34] Operation: 26+8=34
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[26, 19], Operations: ['79-71=8', '11+8=19']
Exploring Operation: 26*19=494, Resulting Numbers: [494]
494,23 unequal: No Solution
Exploring Operation: 26+19=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[11, 18], Operations: ['79-71=8', '26-8=18']
Exploring Operation: 11*18=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[8, 15], Operations: ['79-71=8', '26-11=15']
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,23 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[26, 71, 79, 11], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [26, 11, 8]
Generated Node #0,2: 23:[26, 11, 8] Operation: 79-71=8
Moving to Node #0,2
Current State: 23:[26, 11, 8], Operations: ['79-71=8']
Exploring Operation: 26-11=15, Resulting Numbers: [8, 15]
Generated Node #0,2,0: 23:[8, 15] Operation: 26-11=15
Moving to Node #0,2,0
Current State: 23:[8, 15], Operations: ['79-71=8', '26-11=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
5,
23,
72,
54
] | 21 | [
"5+23=28",
"54*28=1512",
"1512/72=21"
] | Current State: 21:[5, 23, 72, 54], Operations: []
Exploring Operation: 5+23=28, Resulting Numbers: [72, 54, 28]
Generated Node #2: [72, 54, 28] from Operation: 5+23=28
Current State: 21:[72, 54, 28], Operations: ['5+23=28']
Exploring Operation: 54*28=1512, Resulting Numbers: [72, 1512]
Generated Node #3: [72, 1512] from Operation: 54*28=1512
Current State: 21:[72, 1512], Operations: ['5+23=28', '54*28=1512']
Exploring Operation: 1512/72=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[5, 23, 72, 54], Operations: []
Exploring Operation: 72-5=67, Resulting Numbers: [23, 54, 67]
Generated Node #0,0: 21:[23, 54, 67] Operation: 72-5=67
Exploring Operation: 72-23=49, Resulting Numbers: [5, 54, 49]
Generated Node #0,1: 21:[5, 54, 49] Operation: 72-23=49
Exploring Operation: 54-23=31, Resulting Numbers: [5, 72, 31]
Generated Node #0,2: 21:[5, 72, 31] Operation: 54-23=31
Exploring Operation: 72-54=18, Resulting Numbers: [5, 23, 18]
Generated Node #0,3: 21:[5, 23, 18] Operation: 72-54=18
Exploring Operation: 54-5=49, Resulting Numbers: [23, 72, 49]
Generated Node #0,4: 21:[23, 72, 49] Operation: 54-5=49
Start Sub Search at level 1: Moving to Node #0,3
Current State: 21:[5, 23, 18], Operations: ['72-54=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23, 23]
Generated Node #0,3,0: 21:[23, 23] Operation: 5+18=23
Exploring Operation: 23-5=18, Resulting Numbers: [18, 18]
Generated Node #0,3,1: 21:[18, 18] Operation: 23-5=18
Exploring Operation: 5+23=28, Resulting Numbers: [18, 28]
Generated Node #0,3,2: 21:[18, 28] Operation: 5+23=28
Exploring Operation: 23-18=5, Resulting Numbers: [5, 5]
Generated Node #0,3,3: 21:[5, 5] Operation: 23-18=5
Exploring Operation: 18-5=13, Resulting Numbers: [23, 13]
Generated Node #0,3,4: 21:[23, 13] Operation: 18-5=13
Moving to Node #0,3,0
Current State: 21:[23, 23], Operations: ['72-54=18', '5+18=23']
Exploring Operation: 23*23=529, Resulting Numbers: [529]
529,21 unequal: No Solution
Exploring Operation: 23-23=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 23+23=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[5, 5], Operations: ['72-54=18', '23-18=5']
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Moving to Node #0,3,1
Current State: 21:[18, 18], Operations: ['72-54=18', '23-5=18']
Exploring Operation: 18+18=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 18*18=324, Resulting Numbers: [324]
324,21 unequal: No Solution
Exploring Operation: 18/18=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 18-18=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Moving to Node #0,3,4
Current State: 21:[23, 13], Operations: ['72-54=18', '18-5=13']
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,21 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[18, 28], Operations: ['72-54=18', '5+23=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,21 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[5, 54, 49], Operations: ['72-23=49']
Exploring Operation: 49-5=44, Resulting Numbers: [54, 44]
Generated Node #0,1,0: 21:[54, 44] Operation: 49-5=44
Exploring Operation: 54-5=49, Resulting Numbers: [49, 49]
Generated Node #0,1,1: 21:[49, 49] Operation: 54-5=49
Exploring Operation: 5+49=54, Resulting Numbers: [54, 54]
Generated Node #0,1,2: 21:[54, 54] Operation: 5+49=54
Exploring Operation: 5+54=59, Resulting Numbers: [49, 59]
Generated Node #0,1,3: 21:[49, 59] Operation: 5+54=59
Exploring Operation: 54-49=5, Resulting Numbers: [5, 5]
Generated Node #0,1,4: 21:[5, 5] Operation: 54-49=5
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 21:[5, 5], Operations: ['72-23=49', '54-49=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 21:[54, 44], Operations: ['72-23=49', '49-5=44']
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[49, 49], Operations: ['72-23=49', '54-5=49']
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,21 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 21:[54, 54], Operations: ['72-23=49', '5+49=54']
Exploring Operation: 54+54=108, Resulting Numbers: [108]
108,21 unequal: No Solution
Exploring Operation: 54-54=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 54*54=2916, Resulting Numbers: [2916]
2916,21 unequal: No Solution
Exploring Operation: 54/54=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 21:[49, 59], Operations: ['72-23=49', '5+54=59']
Exploring Operation: 49+59=108, Resulting Numbers: [108]
108,21 unequal: No Solution
Exploring Operation: 49*59=2891, Resulting Numbers: [2891]
2891,21 unequal: No Solution
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[5, 72, 31], Operations: ['54-23=31']
Exploring Operation: 72-5=67, Resulting Numbers: [31, 67]
Generated Node #0,2,0: 21:[31, 67] Operation: 72-5=67
Exploring Operation: 5+72=77, Resulting Numbers: [31, 77]
Generated Node #0,2,1: 21:[31, 77] Operation: 5+72=77
Exploring Operation: 72-31=41, Resulting Numbers: [5, 41]
Generated Node #0,2,2: 21:[5, 41] Operation: 72-31=41
Exploring Operation: 5+31=36, Resulting Numbers: [72, 36]
Generated Node #0,2,3: 21:[72, 36] Operation: 5+31=36
Exploring Operation: 31-5=26, Resulting Numbers: [72, 26]
Generated Node #0,2,4: 21:[72, 26] Operation: 31-5=26
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[5, 41], Operations: ['54-23=31', '72-31=41']
Exploring Operation: 5*41=205, Resulting Numbers: [205]
205,21 unequal: No Solution
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[31, 67], Operations: ['54-23=31', '72-5=67']
Exploring Operation: 31*67=2077, Resulting Numbers: [2077]
2077,21 unequal: No Solution
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 21:[72, 26], Operations: ['54-23=31', '31-5=26']
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,21 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[31, 77], Operations: ['54-23=31', '5+72=77']
Exploring Operation: 31*77=2387, Resulting Numbers: [2387]
2387,21 unequal: No Solution
Exploring Operation: 77-31=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 31+77=108, Resulting Numbers: [108]
108,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 21:[72, 36], Operations: ['54-23=31', '5+31=36']
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,21 unequal: No Solution
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[23, 54, 67], Operations: ['72-5=67']
Exploring Operation: 23+67=90, Resulting Numbers: [54, 90]
Generated Node #0,0,0: 21:[54, 90] Operation: 23+67=90
Exploring Operation: 23+54=77, Resulting Numbers: [67, 77]
Generated Node #0,0,1: 21:[67, 77] Operation: 23+54=77
Exploring Operation: 67-54=13, Resulting Numbers: [23, 13]
Generated Node #0,0,2: 21:[23, 13] Operation: 67-54=13
Exploring Operation: 54-23=31, Resulting Numbers: [67, 31]
Generated Node #0,0,3: 21:[67, 31] Operation: 54-23=31
Exploring Operation: 67-23=44, Resulting Numbers: [54, 44]
Generated Node #0,0,4: 21:[54, 44] Operation: 67-23=44
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[23, 13], Operations: ['72-5=67', '67-54=13']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,21 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 21:[67, 31], Operations: ['72-5=67', '54-23=31']
Exploring Operation: 67+31=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 67*31=2077, Resulting Numbers: [2077]
2077,21 unequal: No Solution
Exploring Operation: 67-31=36, Resulting Numbers: [36]
36,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 21:[54, 44], Operations: ['72-5=67', '67-23=44']
Exploring Operation: 54+44=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 54-44=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 54*44=2376, Resulting Numbers: [2376]
2376,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[54, 90], Operations: ['72-5=67', '23+67=90']
Exploring Operation: 90-54=36, Resulting Numbers: [36]
36,21 unequal: No Solution
Exploring Operation: 54*90=4860, Resulting Numbers: [4860]
4860,21 unequal: No Solution
Exploring Operation: 54+90=144, Resulting Numbers: [144]
144,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[67, 77], Operations: ['72-5=67', '23+54=77']
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,21 unequal: No Solution
Exploring Operation: 67+77=144, Resulting Numbers: [144]
144,21 unequal: No Solution
Exploring Operation: 67*77=5159, Resulting Numbers: [5159]
5159,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 21:[23, 72, 49], Operations: ['54-5=49']
Exploring Operation: 72-49=23, Resulting Numbers: [23, 23]
Generated Node #0,4,0: 21:[23, 23] Operation: 72-49=23
Exploring Operation: 49-23=26, Resulting Numbers: [72, 26]
Generated Node #0,4,1: 21:[72, 26] Operation: 49-23=26
Exploring Operation: 23+72=95, Resulting Numbers: [49, 95]
Generated Node #0,4,2: 21:[49, 95] Operation: 23+72=95
Exploring Operation: 72-23=49, Resulting Numbers: [49, 49]
Generated Node #0,4,3: 21:[49, 49] Operation: 72-23=49
Exploring Operation: 23+49=72, Resulting Numbers: [72, 72]
Generated Node #0,4,4: 21:[72, 72] Operation: 23+49=72
Moving to Node #0,4,0
Current State: 21:[23, 23], Operations: ['54-5=49', '72-49=23']
Exploring Operation: 23/23=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Exploring Operation: 23*23=529, Resulting Numbers: [529]
529,21 unequal: No Solution
Exploring Operation: 23-23=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 23+23=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Moving to Node #0,4,3
Current State: 21:[49, 49], Operations: ['54-5=49', '72-23=49']
Exploring Operation: 49-49=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 49+49=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 49*49=2401, Resulting Numbers: [2401]
2401,21 unequal: No Solution
Exploring Operation: 49/49=1, Resulting Numbers: [1]
1,21 unequal: No Solution
Moving to Node #0,4,1
Current State: 21:[72, 26], Operations: ['54-5=49', '49-23=26']
Exploring Operation: 72*26=1872, Resulting Numbers: [1872]
1872,21 unequal: No Solution
Exploring Operation: 72+26=98, Resulting Numbers: [98]
98,21 unequal: No Solution
Exploring Operation: 72-26=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Moving to Node #0,4,2
Current State: 21:[49, 95], Operations: ['54-5=49', '23+72=95']
Exploring Operation: 49*95=4655, Resulting Numbers: [4655]
4655,21 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,21 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,21 unequal: No Solution
Moving to Node #0,4,4
Current State: 21:[72, 72], Operations: ['54-5=49', '23+49=72']
Exploring Operation: 72-72=0, Resulting Numbers: [0]
0,21 unequal: No Solution
Exploring Operation: 72*72=5184, Resulting Numbers: [5184]
5184,21 unequal: No Solution
Exploring Operation: 72+72=144, Resulting Numbers: [144]
144,21 unequal: No Solution
Exploring Operation: 72/72=1, Resulting Numbers: [1]
1,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
75,
3,
58,
73
] | 22 | [
"75-58=17",
"3*17=51",
"73-51=22"
] | Current State: 22:[75, 3, 58, 73], Operations: []
Exploring Operation: 75-58=17, Resulting Numbers: [3, 73, 17]
Generated Node #2: [3, 73, 17] from Operation: 75-58=17
Current State: 22:[3, 73, 17], Operations: ['75-58=17']
Exploring Operation: 3*17=51, Resulting Numbers: [73, 51]
Generated Node #3: [73, 51] from Operation: 3*17=51
Current State: 22:[73, 51], Operations: ['75-58=17', '3*17=51']
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[75, 3, 58, 73], Operations: []
Exploring Operation: 75-73=2, Resulting Numbers: [3, 58, 2]
Generated Node #0,0: 22:[3, 58, 2] Operation: 75-73=2
Exploring Operation: 75-58=17, Resulting Numbers: [3, 73, 17]
Generated Node #0,1: 22:[3, 73, 17] Operation: 75-58=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[3, 58, 2], Operations: ['75-73=2']
Exploring Operation: 58-3=55, Resulting Numbers: [2, 55]
Generated Node #0,0,0: 22:[2, 55] Operation: 58-3=55
Exploring Operation: 58/2=29, Resulting Numbers: [3, 29]
Generated Node #0,0,1: 22:[3, 29] Operation: 58/2=29
Moving to Node #0,0,1
Current State: 22:[3, 29], Operations: ['75-73=2', '58/2=29']
Exploring Operation: 29-3=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Exploring Operation: 3+29=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[2, 55], Operations: ['75-73=2', '58-3=55']
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,22 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 22:[3, 73, 17], Operations: ['75-58=17']
Exploring Operation: 73-17=56, Resulting Numbers: [3, 56]
Generated Node #0,1,0: 22:[3, 56] Operation: 73-17=56
Exploring Operation: 73-3=70, Resulting Numbers: [17, 70]
Generated Node #0,1,1: 22:[17, 70] Operation: 73-3=70
Moving to Node #0,1,0
Current State: 22:[3, 56], Operations: ['75-58=17', '73-17=56']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,22 unequal: No Solution
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[17, 70], Operations: ['75-58=17', '73-3=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,22 unequal: No Solution
Exploring Operation: 70-17=53, Resulting Numbers: [53]
53,22 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,
63,
9,
87
] | 51 | [
"90-63=27",
"87-9=78",
"78-27=51"
] | Current State: 51:[90, 63, 9, 87], Operations: []
Exploring Operation: 90-63=27, Resulting Numbers: [9, 87, 27]
Generated Node #2: [9, 87, 27] from Operation: 90-63=27
Current State: 51:[9, 87, 27], Operations: ['90-63=27']
Exploring Operation: 87-9=78, Resulting Numbers: [27, 78]
Generated Node #3: [27, 78] from Operation: 87-9=78
Current State: 51:[27, 78], Operations: ['90-63=27', '87-9=78']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[90, 63, 9, 87], Operations: []
Exploring Operation: 87-63=24, Resulting Numbers: [90, 9, 24]
Generated Node #0,0: 51:[90, 9, 24] Operation: 87-63=24
Exploring Operation: 90-87=3, Resulting Numbers: [63, 9, 3]
Generated Node #0,1: 51:[63, 9, 3] Operation: 90-87=3
Exploring Operation: 90-63=27, Resulting Numbers: [9, 87, 27]
Generated Node #0,2: 51:[9, 87, 27] Operation: 90-63=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[63, 9, 3], Operations: ['90-87=3']
Exploring Operation: 63/9=7, Resulting Numbers: [3, 7]
Generated Node #0,1,0: 51:[3, 7] Operation: 63/9=7
Exploring Operation: 63/3=21, Resulting Numbers: [9, 21]
Generated Node #0,1,1: 51:[9, 21] Operation: 63/3=21
Exploring Operation: 63-9=54, Resulting Numbers: [3, 54]
Generated Node #0,1,2: 51:[3, 54] Operation: 63-9=54
Moving to Node #0,1,2
Current State: 51:[3, 54], Operations: ['90-87=3', '63-9=54']
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,51 unequal: No Solution
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[90, 63, 9, 87], Operations: []
Exploring Operation: 90-87=3, Resulting Numbers: [63, 9, 3]
Generated Node #0,1: 51:[63, 9, 3] Operation: 90-87=3
Moving to Node #0,1
Current State: 51:[63, 9, 3], Operations: ['90-87=3']
Exploring Operation: 63-9=54, Resulting Numbers: [3, 54]
Generated Node #0,1,2: 51:[3, 54] Operation: 63-9=54
Moving to Node #0,1,2
Current State: 51:[3, 54], Operations: ['90-87=3', '63-9=54']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
39,
67,
20,
52
] | 74 | [
"39+67=106",
"52-20=32",
"106-32=74"
] | Current State: 74:[39, 67, 20, 52], Operations: []
Exploring Operation: 39+67=106, Resulting Numbers: [20, 52, 106]
Generated Node #2: [20, 52, 106] from Operation: 39+67=106
Current State: 74:[20, 52, 106], Operations: ['39+67=106']
Exploring Operation: 52-20=32, Resulting Numbers: [106, 32]
Generated Node #3: [106, 32] from Operation: 52-20=32
Current State: 74:[106, 32], Operations: ['39+67=106', '52-20=32']
Exploring Operation: 106-32=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[39, 67, 20, 52], Operations: []
Exploring Operation: 67+20=87, Resulting Numbers: [39, 52, 87]
Generated Node #0,0: 74:[39, 52, 87] Operation: 67+20=87
Exploring Operation: 20+52=72, Resulting Numbers: [39, 67, 72]
Generated Node #0,1: 74:[39, 67, 72] Operation: 20+52=72
Exploring Operation: 67-20=47, Resulting Numbers: [39, 52, 47]
Generated Node #0,2: 74:[39, 52, 47] Operation: 67-20=47
Exploring Operation: 52-20=32, Resulting Numbers: [39, 67, 32]
Generated Node #0,3: 74:[39, 67, 32] Operation: 52-20=32
Moving to Node #0,1
Current State: 74:[39, 67, 72], Operations: ['20+52=72']
Exploring Operation: 72-67=5, Resulting Numbers: [39, 5]
Generated Node #0,1,0: 74:[39, 5] Operation: 72-67=5
Exploring Operation: 39+67=106, Resulting Numbers: [72, 106]
Generated Node #0,1,1: 74:[72, 106] Operation: 39+67=106
Exploring Operation: 67-39=28, Resulting Numbers: [72, 28]
Generated Node #0,1,2: 74:[72, 28] Operation: 67-39=28
Exploring Operation: 72-39=33, Resulting Numbers: [67, 33]
Generated Node #0,1,3: 74:[67, 33] Operation: 72-39=33
Moving to Node #0,3
Current State: 74:[39, 67, 32], Operations: ['52-20=32']
Exploring Operation: 39-32=7, Resulting Numbers: [67, 7]
Generated Node #0,3,0: 74:[67, 7] Operation: 39-32=7
Exploring Operation: 39+32=71, Resulting Numbers: [67, 71]
Generated Node #0,3,1: 74:[67, 71] Operation: 39+32=71
Exploring Operation: 67-39=28, Resulting Numbers: [32, 28]
Generated Node #0,3,2: 74:[32, 28] Operation: 67-39=28
Exploring Operation: 67-32=35, Resulting Numbers: [39, 35]
Generated Node #0,3,3: 74:[39, 35] Operation: 67-32=35
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 74:[39, 35], Operations: ['52-20=32', '67-32=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Exploring Operation: 39*35=1365, Resulting Numbers: [1365]
1365,74 unequal: No Solution
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[39, 67, 20, 52], Operations: []
Exploring Operation: 52-20=32, Resulting Numbers: [39, 67, 32]
Generated Node #0,3: 74:[39, 67, 32] Operation: 52-20=32
Moving to Node #0,3
Current State: 74:[39, 67, 32], Operations: ['52-20=32']
Exploring Operation: 67-32=35, Resulting Numbers: [39, 35]
Generated Node #0,3,3: 74:[39, 35] Operation: 67-32=35
Moving to Node #0,3,3
Current State: 74:[39, 35], Operations: ['52-20=32', '67-32=35']
Exploring Operation: 39+35=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
4,
73,
63,
38
] | 78 | [
"73-63=10",
"4*10=40",
"38+40=78"
] | Current State: 78:[4, 73, 63, 38], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [4, 38, 10]
Generated Node #2: [4, 38, 10] from Operation: 73-63=10
Current State: 78:[4, 38, 10], Operations: ['73-63=10']
Exploring Operation: 4*10=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 4*10=40
Current State: 78:[38, 40], Operations: ['73-63=10', '4*10=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[4, 73, 63, 38], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [4, 38, 10]
Generated Node #0,0: 78:[4, 38, 10] Operation: 73-63=10
Exploring Operation: 4+73=77, Resulting Numbers: [63, 38, 77]
Generated Node #0,1: 78:[63, 38, 77] Operation: 4+73=77
Exploring Operation: 4+63=67, Resulting Numbers: [73, 38, 67]
Generated Node #0,2: 78:[73, 38, 67] Operation: 4+63=67
Exploring Operation: 63-38=25, Resulting Numbers: [4, 73, 25]
Generated Node #0,3: 78:[4, 73, 25] Operation: 63-38=25
Exploring Operation: 73-38=35, Resulting Numbers: [4, 63, 35]
Generated Node #0,4: 78:[4, 63, 35] Operation: 73-38=35
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[4, 38, 10], Operations: ['73-63=10']
Exploring Operation: 4*10=40, Resulting Numbers: [38, 40]
Generated Node #0,0,0: 78:[38, 40] Operation: 4*10=40
Exploring Operation: 4+10=14, Resulting Numbers: [38, 14]
Generated Node #0,0,1: 78:[38, 14] Operation: 4+10=14
Exploring Operation: 4+38=42, Resulting Numbers: [10, 42]
Generated Node #0,0,2: 78:[10, 42] Operation: 4+38=42
Exploring Operation: 38-10=28, Resulting Numbers: [4, 28]
Generated Node #0,0,3: 78:[4, 28] Operation: 38-10=28
Exploring Operation: 10-4=6, Resulting Numbers: [38, 6]
Generated Node #0,0,4: 78:[38, 6] Operation: 10-4=6
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 78:[38, 6], Operations: ['73-63=10', '10-4=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,78 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,78 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 #0,0,0
Current State: 78:[38, 40], Operations: ['73-63=10', '4*10=40']
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,78 unequal: No Solution
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Moving to Node #0
Current State: 78:[4, 73, 63, 38], Operations: []
Exploring Operation: 73-63=10, Resulting Numbers: [4, 38, 10]
Generated Node #0,0: 78:[4, 38, 10] Operation: 73-63=10
Moving to Node #0,0
Current State: 78:[4, 38, 10], Operations: ['73-63=10']
Exploring Operation: 4*10=40, Resulting Numbers: [38, 40]
Generated Node #0,0,0: 78:[38, 40] Operation: 4*10=40
Moving to Node #0,0,0
Current State: 78:[38, 40], Operations: ['73-63=10', '4*10=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_5 | mult_heuristic |
[
20,
4,
12,
5
] | 76 | [
"20-4=16",
"12*5=60",
"16+60=76"
] | Current State: 76:[20, 4, 12, 5], Operations: []
Exploring Operation: 20-4=16, Resulting Numbers: [12, 5, 16]
Generated Node #2: [12, 5, 16] from Operation: 20-4=16
Current State: 76:[12, 5, 16], Operations: ['20-4=16']
Exploring Operation: 12*5=60, Resulting Numbers: [16, 60]
Generated Node #3: [16, 60] from Operation: 12*5=60
Current State: 76:[16, 60], Operations: ['20-4=16', '12*5=60']
Exploring Operation: 16+60=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[20, 4, 12, 5], Operations: []
Exploring Operation: 12/4=3, Resulting Numbers: [20, 5, 3]
Generated Node #0,0: 76:[20, 5, 3] Operation: 12/4=3
Exploring Operation: 20-12=8, Resulting Numbers: [4, 5, 8]
Generated Node #0,1: 76:[4, 5, 8] Operation: 20-12=8
Exploring Operation: 12-5=7, Resulting Numbers: [20, 4, 7]
Generated Node #0,2: 76:[20, 4, 7] Operation: 12-5=7
Exploring Operation: 12+5=17, Resulting Numbers: [20, 4, 17]
Generated Node #0,3: 76:[20, 4, 17] Operation: 12+5=17
Moving to Node #0,0
Current State: 76:[20, 5, 3], Operations: ['12/4=3']
Exploring Operation: 20-3=17, Resulting Numbers: [5, 17]
Generated Node #0,0,0: 76:[5, 17] Operation: 20-3=17
Exploring Operation: 5-3=2, Resulting Numbers: [20, 2]
Generated Node #0,0,1: 76:[20, 2] Operation: 5-3=2
Exploring Operation: 20/5=4, Resulting Numbers: [3, 4]
Generated Node #0,0,2: 76:[3, 4] Operation: 20/5=4
Exploring Operation: 20-5=15, Resulting Numbers: [3, 15]
Generated Node #0,0,3: 76:[3, 15] Operation: 20-5=15
Moving to Node #0,3
Current State: 76:[20, 4, 17], Operations: ['12+5=17']
Exploring Operation: 20/4=5, Resulting Numbers: [17, 5]
Generated Node #0,3,0: 76:[17, 5] Operation: 20/4=5
Exploring Operation: 20+17=37, Resulting Numbers: [4, 37]
Generated Node #0,3,1: 76:[4, 37] Operation: 20+17=37
Exploring Operation: 20-17=3, Resulting Numbers: [4, 3]
Generated Node #0,3,2: 76:[4, 3] Operation: 20-17=3
Exploring Operation: 4+17=21, Resulting Numbers: [20, 21]
Generated Node #0,3,3: 76:[20, 21] Operation: 4+17=21
Moving to Node #0,2
Current State: 76:[20, 4, 7], Operations: ['12-5=7']
Exploring Operation: 20-4=16, Resulting Numbers: [7, 16]
Generated Node #0,2,0: 76:[7, 16] Operation: 20-4=16
Exploring Operation: 20/4=5, Resulting Numbers: [7, 5]
Generated Node #0,2,1: 76:[7, 5] Operation: 20/4=5
Exploring Operation: 7-4=3, Resulting Numbers: [20, 3]
Generated Node #0,2,2: 76:[20, 3] Operation: 7-4=3
Exploring Operation: 20-7=13, Resulting Numbers: [4, 13]
Generated Node #0,2,3: 76:[4, 13] Operation: 20-7=13
Moving to Node #0,1
Current State: 76:[4, 5, 8], Operations: ['20-12=8']
Exploring Operation: 8-5=3, Resulting Numbers: [4, 3]
Generated Node #0,1,0: 76:[4, 3] Operation: 8-5=3
Exploring Operation: 8/4=2, Resulting Numbers: [5, 2]
Generated Node #0,1,1: 76:[5, 2] Operation: 8/4=2
Exploring Operation: 5*8=40, Resulting Numbers: [4, 40]
Generated Node #0,1,2: 76:[4, 40] Operation: 5*8=40
Exploring Operation: 8-4=4, Resulting Numbers: [5, 4]
Generated Node #0,1,3: 76:[5, 4] Operation: 8-4=4
Moving to Node #0,0,1
Current State: 76:[20, 2], Operations: ['12/4=3', '5-3=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Moving to Node #0,3,2
Current State: 76:[4, 3], Operations: ['12+5=17', '20-17=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[5, 2], Operations: ['20-12=8', '8/4=2']
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,76 unequal: No Solution
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[5, 4], Operations: ['20-12=8', '8-4=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[4, 3], Operations: ['20-12=8', '8-5=3']
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[3, 4], Operations: ['12/4=3', '20/5=4']
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Moving to Node #0,3,1
Current State: 76:[4, 37], Operations: ['12+5=17', '20+17=37']
Exploring Operation: 4*37=148, Resulting Numbers: [148]
148,76 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,76 unequal: No Solution
Exploring Operation: 4+37=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Moving to Node #0,2,2
Current State: 76:[20, 3], Operations: ['12-5=7', '7-4=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Exploring Operation: 20*3=60, Resulting Numbers: [60]
60,76 unequal: No Solution
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[4, 40], Operations: ['20-12=8', '5*8=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,76 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 4*40=160, Resulting Numbers: [160]
160,76 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,76 unequal: No Solution
Moving to Node #0,3,0
Current State: 76:[17, 5], Operations: ['12+5=17', '20/4=5']
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[5, 17], Operations: ['12/4=3', '20-3=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,76 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Moving to Node #0,3,3
Current State: 76:[20, 21], Operations: ['12+5=17', '4+17=21']
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,76 unequal: No Solution
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[7, 5], Operations: ['12-5=7', '20/4=5']
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,76 unequal: No Solution
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[3, 15], Operations: ['12/4=3', '20-5=15']
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,76 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,76 unequal: No Solution
Moving to Node #0,2,0
Current State: 76:[7, 16], Operations: ['12-5=7', '20-4=16']
Exploring Operation: 7+16=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 7*16=112, Resulting Numbers: [112]
112,76 unequal: No Solution
Exploring Operation: 16-7=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[4, 13], Operations: ['12-5=7', '20-7=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,76 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,76 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
45,
36,
31,
66
] | 57 | [
"36-31=5",
"45/5=9",
"66-9=57"
] | Current State: 57:[45, 36, 31, 66], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [45, 66, 5]
Generated Node #2: [45, 66, 5] from Operation: 36-31=5
Current State: 57:[45, 66, 5], Operations: ['36-31=5']
Exploring Operation: 45/5=9, Resulting Numbers: [66, 9]
Generated Node #3: [66, 9] from Operation: 45/5=9
Current State: 57:[66, 9], Operations: ['36-31=5', '45/5=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[45, 36, 31, 66], Operations: []
Exploring Operation: 45-36=9, Resulting Numbers: [31, 66, 9]
Generated Node #0,0: 57:[31, 66, 9] Operation: 45-36=9
Exploring Operation: 36-31=5, Resulting Numbers: [45, 66, 5]
Generated Node #0,1: 57:[45, 66, 5] Operation: 36-31=5
Exploring Operation: 45-31=14, Resulting Numbers: [36, 66, 14]
Generated Node #0,2: 57:[36, 66, 14] Operation: 45-31=14
Exploring Operation: 66-45=21, Resulting Numbers: [36, 31, 21]
Generated Node #0,3: 57:[36, 31, 21] Operation: 66-45=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[45, 66, 5], Operations: ['36-31=5']
Exploring Operation: 66-5=61, Resulting Numbers: [45, 61]
Generated Node #0,1,0: 57:[45, 61] Operation: 66-5=61
Exploring Operation: 45+5=50, Resulting Numbers: [66, 50]
Generated Node #0,1,1: 57:[66, 50] Operation: 45+5=50
Exploring Operation: 66-45=21, Resulting Numbers: [5, 21]
Generated Node #0,1,2: 57:[5, 21] Operation: 66-45=21
Exploring Operation: 45/5=9, Resulting Numbers: [66, 9]
Generated Node #0,1,3: 57:[66, 9] Operation: 45/5=9
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 57:[5, 21], Operations: ['36-31=5', '66-45=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,57 unequal: No Solution
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,57 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 57:[66, 9], Operations: ['36-31=5', '45/5=9']
Exploring Operation: 66*9=594, Resulting Numbers: [594]
594,57 unequal: No Solution
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[45, 36, 31, 66], Operations: []
Exploring Operation: 36-31=5, Resulting Numbers: [45, 66, 5]
Generated Node #0,1: 57:[45, 66, 5] Operation: 36-31=5
Moving to Node #0,1
Current State: 57:[45, 66, 5], Operations: ['36-31=5']
Exploring Operation: 45/5=9, Resulting Numbers: [66, 9]
Generated Node #0,1,3: 57:[66, 9] Operation: 45/5=9
Moving to Node #0,1,3
Current State: 57:[66, 9], Operations: ['36-31=5', '45/5=9']
Exploring Operation: 66-9=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
64,
51,
23,
66
] | 79 | [
"66-64=2",
"51*2=102",
"102-23=79"
] | Current State: 79:[64, 51, 23, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [51, 23, 2]
Generated Node #2: [51, 23, 2] from Operation: 66-64=2
Current State: 79:[51, 23, 2], Operations: ['66-64=2']
Exploring Operation: 51*2=102, Resulting Numbers: [23, 102]
Generated Node #3: [23, 102] from Operation: 51*2=102
Current State: 79:[23, 102], Operations: ['66-64=2', '51*2=102']
Exploring Operation: 102-23=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[64, 51, 23, 66], Operations: []
Exploring Operation: 51+23=74, Resulting Numbers: [64, 66, 74]
Generated Node #0,0: 79:[64, 66, 74] Operation: 51+23=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[64, 66, 74], Operations: ['51+23=74']
Exploring Operation: 64+66=130, Resulting Numbers: [74, 130]
Generated Node #0,0,0: 79:[74, 130] Operation: 64+66=130
Moving to Node #0,0,0
Current State: 79:[74, 130], Operations: ['51+23=74', '64+66=130']
Exploring Operation: 130-74=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
16,
34,
2,
86
] | 20 | [
"16*2=32",
"86-34=52",
"52-32=20"
] | Current State: 20:[16, 34, 2, 86], Operations: []
Exploring Operation: 16*2=32, Resulting Numbers: [34, 86, 32]
Generated Node #2: [34, 86, 32] from Operation: 16*2=32
Current State: 20:[34, 86, 32], Operations: ['16*2=32']
Exploring Operation: 86-34=52, Resulting Numbers: [32, 52]
Generated Node #3: [32, 52] from Operation: 86-34=52
Current State: 20:[32, 52], Operations: ['16*2=32', '86-34=52']
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[16, 34, 2, 86], Operations: []
Exploring Operation: 86-34=52, Resulting Numbers: [16, 2, 52]
Generated Node #0,0: 20:[16, 2, 52] Operation: 86-34=52
Exploring Operation: 86/2=43, Resulting Numbers: [16, 34, 43]
Generated Node #0,1: 20:[16, 34, 43] Operation: 86/2=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[16, 2, 52], Operations: ['86-34=52']
Exploring Operation: 52/2=26, Resulting Numbers: [16, 26]
Generated Node #0,0,0: 20:[16, 26] Operation: 52/2=26
Exploring Operation: 52-16=36, Resulting Numbers: [2, 36]
Generated Node #0,0,1: 20:[2, 36] Operation: 52-16=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 20:[16, 26], Operations: ['86-34=52', '52/2=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,20 unequal: No Solution
No 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: 20:[2, 36], Operations: ['86-34=52', '52-16=36']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,20 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: 20:[16, 34, 43], Operations: ['86/2=43']
Exploring Operation: 43-16=27, Resulting Numbers: [34, 27]
Generated Node #0,1,0: 20:[34, 27] Operation: 43-16=27
Exploring Operation: 43-34=9, Resulting Numbers: [16, 9]
Generated Node #0,1,1: 20:[16, 9] Operation: 43-34=9
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[16, 9], Operations: ['86/2=43', '43-34=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,20 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,20 unequal: No Solution
No 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: 20:[34, 27], Operations: ['86/2=43', '43-16=27']
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,20 unequal: No Solution
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,20 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 |
[
18,
23,
32,
10
] | 18 | [
"23-18=5",
"10*5=50",
"50-32=18"
] | Current State: 18:[18, 23, 32, 10], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [32, 10, 5]
Generated Node #2: [32, 10, 5] from Operation: 23-18=5
Current State: 18:[32, 10, 5], Operations: ['23-18=5']
Exploring Operation: 10*5=50, Resulting Numbers: [32, 50]
Generated Node #3: [32, 50] from Operation: 10*5=50
Current State: 18:[32, 50], Operations: ['23-18=5', '10*5=50']
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[18, 23, 32, 10], Operations: []
Exploring Operation: 32-18=14, Resulting Numbers: [23, 10, 14]
Generated Node #0,0: 18:[23, 10, 14] Operation: 32-18=14
Exploring Operation: 23-18=5, Resulting Numbers: [32, 10, 5]
Generated Node #0,1: 18:[32, 10, 5] Operation: 23-18=5
Exploring Operation: 23-10=13, Resulting Numbers: [18, 32, 13]
Generated Node #0,2: 18:[18, 32, 13] Operation: 23-10=13
Exploring Operation: 32-23=9, Resulting Numbers: [18, 10, 9]
Generated Node #0,3: 18:[18, 10, 9] Operation: 32-23=9
Exploring Operation: 32-10=22, Resulting Numbers: [18, 23, 22]
Generated Node #0,4: 18:[18, 23, 22] Operation: 32-10=22
Moving to Node #0,3
Current State: 18:[18, 10, 9], Operations: ['32-23=9']
Exploring Operation: 18-10=8, Resulting Numbers: [9, 8]
Generated Node #0,3,0: 18:[9, 8] Operation: 18-10=8
Exploring Operation: 10+9=19, Resulting Numbers: [18, 19]
Generated Node #0,3,1: 18:[18, 19] Operation: 10+9=19
Exploring Operation: 18/9=2, Resulting Numbers: [10, 2]
Generated Node #0,3,2: 18:[10, 2] Operation: 18/9=2
Exploring Operation: 10-9=1, Resulting Numbers: [18, 1]
Generated Node #0,3,3: 18:[18, 1] Operation: 10-9=1
Exploring Operation: 18-9=9, Resulting Numbers: [10, 9]
Generated Node #0,3,4: 18:[10, 9] Operation: 18-9=9
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[9, 8], Operations: ['32-23=9', '18-10=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,18 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,18 unequal: No Solution
No 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: 18:[18, 19], Operations: ['32-23=9', '10+9=19']
Exploring Operation: 18+19=37, Resulting Numbers: [37]
37,18 unequal: No Solution
Exploring Operation: 18*19=342, Resulting Numbers: [342]
342,18 unequal: No Solution
Exploring Operation: 19-18=1, Resulting Numbers: [1]
1,18 unequal: No Solution
No 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: 18:[10, 2], Operations: ['32-23=9', '18/9=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,18 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,18 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,18 unequal: No Solution
No 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: 18:[18, 1], Operations: ['32-23=9', '10-9=1']
Exploring Operation: 18-1=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[18, 23, 32, 10], Operations: []
Exploring Operation: 32-23=9, Resulting Numbers: [18, 10, 9]
Generated Node #0,3: 18:[18, 10, 9] Operation: 32-23=9
Moving to Node #0,3
Current State: 18:[18, 10, 9], Operations: ['32-23=9']
Exploring Operation: 10-9=1, Resulting Numbers: [18, 1]
Generated Node #0,3,3: 18:[18, 1] Operation: 10-9=1
Moving to Node #0,3,3
Current State: 18:[18, 1], Operations: ['32-23=9', '10-9=1']
Exploring Operation: 18*1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
2,
54,
6,
60
] | 46 | [
"2+54=56",
"60/6=10",
"56-10=46"
] | Current State: 46:[2, 54, 6, 60], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [6, 60, 56]
Generated Node #2: [6, 60, 56] from Operation: 2+54=56
Current State: 46:[6, 60, 56], Operations: ['2+54=56']
Exploring Operation: 60/6=10, Resulting Numbers: [56, 10]
Generated Node #3: [56, 10] from Operation: 60/6=10
Current State: 46:[56, 10], Operations: ['2+54=56', '60/6=10']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[2, 54, 6, 60], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [2, 54, 10]
Generated Node #0,0: 46:[2, 54, 10] Operation: 60/6=10
Exploring Operation: 54-6=48, Resulting Numbers: [2, 60, 48]
Generated Node #0,1: 46:[2, 60, 48] Operation: 54-6=48
Exploring Operation: 60-6=54, Resulting Numbers: [2, 54, 54]
Generated Node #0,2: 46:[2, 54, 54] Operation: 60-6=54
Exploring Operation: 60-54=6, Resulting Numbers: [2, 6, 6]
Generated Node #0,3: 46:[2, 6, 6] Operation: 60-54=6
Moving to Node #0,3
Current State: 46:[2, 6, 6], Operations: ['60-54=6']
Exploring Operation: 6/6=1, Resulting Numbers: [2, 1]
Generated Node #0,3,0: 46:[2, 1] Operation: 6/6=1
Exploring Operation: 6-6=0, Resulting Numbers: [2, 0]
Generated Node #0,3,1: 46:[2, 0] Operation: 6-6=0
Exploring Operation: 6/2=3, Resulting Numbers: [6, 3]
Generated Node #0,3,2: 46:[6, 3] Operation: 6/2=3
Exploring Operation: 6/2=3, Resulting Numbers: [6, 3]
Generated Node #0,3,3: 46:[6, 3] Operation: 6/2=3
Moving to Node #0,1
Current State: 46:[2, 60, 48], Operations: ['54-6=48']
Exploring Operation: 60-2=58, Resulting Numbers: [48, 58]
Generated Node #0,1,0: 46:[48, 58] Operation: 60-2=58
Exploring Operation: 60/2=30, Resulting Numbers: [48, 30]
Generated Node #0,1,1: 46:[48, 30] Operation: 60/2=30
Exploring Operation: 48-2=46, Resulting Numbers: [60, 46]
Generated Node #0,1,2: 46:[60, 46] Operation: 48-2=46
Exploring Operation: 60-48=12, Resulting Numbers: [2, 12]
Generated Node #0,1,3: 46:[2, 12] Operation: 60-48=12
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 46:[48, 30], Operations: ['54-6=48', '60/2=30']
Exploring Operation: 48*30=1440, Resulting Numbers: [1440]
1440,46 unequal: No Solution
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,46 unequal: No Solution
Exploring Operation: 48+30=78, Resulting Numbers: [78]
78,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[2, 12], Operations: ['54-6=48', '60-48=12']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 46:[48, 58], Operations: ['54-6=48', '60-2=58']
Exploring Operation: 48+58=106, Resulting Numbers: [106]
106,46 unequal: No Solution
Exploring Operation: 48*58=2784, Resulting Numbers: [2784]
2784,46 unequal: No Solution
Exploring Operation: 58-48=10, Resulting Numbers: [10]
10,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 46:[60, 46], Operations: ['54-6=48', '48-2=46']
Exploring Operation: 60+46=106, Resulting Numbers: [106]
106,46 unequal: No Solution
Exploring Operation: 60-46=14, Resulting Numbers: [14]
14,46 unequal: No Solution
Exploring Operation: 60*46=2760, Resulting Numbers: [2760]
2760,46 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: 46:[2, 54, 10], Operations: ['60/6=10']
Exploring Operation: 10/2=5, Resulting Numbers: [54, 5]
Generated Node #0,0,0: 46:[54, 5] Operation: 10/2=5
Exploring Operation: 54-10=44, Resulting Numbers: [2, 44]
Generated Node #0,0,1: 46:[2, 44] Operation: 54-10=44
Exploring Operation: 2*10=20, Resulting Numbers: [54, 20]
Generated Node #0,0,2: 46:[54, 20] Operation: 2*10=20
Exploring Operation: 54/2=27, Resulting Numbers: [10, 27]
Generated Node #0,0,3: 46:[10, 27] Operation: 54/2=27
Moving to Node #0,2
Current State: 46:[2, 54, 54], Operations: ['60-6=54']
Exploring Operation: 54/2=27, Resulting Numbers: [54, 27]
Generated Node #0,2,0: 46:[54, 27] Operation: 54/2=27
Exploring Operation: 54-54=0, Resulting Numbers: [2, 0]
Generated Node #0,2,1: 46:[2, 0] Operation: 54-54=0
Exploring Operation: 54/2=27, Resulting Numbers: [54, 27]
Generated Node #0,2,2: 46:[54, 27] Operation: 54/2=27
Exploring Operation: 54/54=1, Resulting Numbers: [2, 1]
Generated Node #0,2,3: 46:[2, 1] Operation: 54/54=1
Moving to Node #0,3,0
Current State: 46:[2, 1], Operations: ['60-54=6', '6/6=1']
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[2, 1], Operations: ['60-6=54', '54/54=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,46 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,46 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[2, 44], Operations: ['60/6=10', '54-10=44']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,46 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,46 unequal: No Solution
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[2, 54, 6, 60], Operations: []
Exploring Operation: 60/6=10, Resulting Numbers: [2, 54, 10]
Generated Node #0,0: 46:[2, 54, 10] Operation: 60/6=10
Moving to Node #0,0
Current State: 46:[2, 54, 10], Operations: ['60/6=10']
Exploring Operation: 54-10=44, Resulting Numbers: [2, 44]
Generated Node #0,0,1: 46:[2, 44] Operation: 54-10=44
Moving to Node #0,0,1
Current State: 46:[2, 44], Operations: ['60/6=10', '54-10=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.957465 | hs_4 | sum_heuristic |
[
28,
59,
70,
8
] | 31 | [
"59-28=31",
"70-8=62",
"62-31=31"
] | Current State: 31:[28, 59, 70, 8], Operations: []
Exploring Operation: 59-28=31, Resulting Numbers: [70, 8, 31]
Generated Node #2: [70, 8, 31] from Operation: 59-28=31
Current State: 31:[70, 8, 31], Operations: ['59-28=31']
Exploring Operation: 70-8=62, Resulting Numbers: [31, 62]
Generated Node #3: [31, 62] from Operation: 70-8=62
Current State: 31:[31, 62], Operations: ['59-28=31', '70-8=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[28, 59, 70, 8], Operations: []
Exploring Operation: 70-28=42, Resulting Numbers: [59, 8, 42]
Generated Node #0,0: 31:[59, 8, 42] Operation: 70-28=42
Exploring Operation: 70-8=62, Resulting Numbers: [28, 59, 62]
Generated Node #0,1: 31:[28, 59, 62] Operation: 70-8=62
Exploring Operation: 59-28=31, Resulting Numbers: [70, 8, 31]
Generated Node #0,2: 31:[70, 8, 31] Operation: 59-28=31
Exploring Operation: 59-8=51, Resulting Numbers: [28, 70, 51]
Generated Node #0,3: 31:[28, 70, 51] Operation: 59-8=51
Exploring Operation: 70-59=11, Resulting Numbers: [28, 8, 11]
Generated Node #0,4: 31:[28, 8, 11] Operation: 70-59=11
Moving to Node #0,4
Current State: 31:[28, 8, 11], Operations: ['70-59=11']
Exploring Operation: 28+8=36, Resulting Numbers: [11, 36]
Generated Node #0,4,0: 31:[11, 36] Operation: 28+8=36
Exploring Operation: 11-8=3, Resulting Numbers: [28, 3]
Generated Node #0,4,1: 31:[28, 3] Operation: 11-8=3
Exploring Operation: 28-8=20, Resulting Numbers: [11, 20]
Generated Node #0,4,2: 31:[11, 20] Operation: 28-8=20
Exploring Operation: 8+11=19, Resulting Numbers: [28, 19]
Generated Node #0,4,3: 31:[28, 19] Operation: 8+11=19
Exploring Operation: 28+11=39, Resulting Numbers: [8, 39]
Generated Node #0,4,4: 31:[8, 39] Operation: 28+11=39
Moving to Node #0,1
Current State: 31:[28, 59, 62], Operations: ['70-8=62']
Exploring Operation: 62-28=34, Resulting Numbers: [59, 34]
Generated Node #0,1,0: 31:[59, 34] Operation: 62-28=34
Exploring Operation: 28+62=90, Resulting Numbers: [59, 90]
Generated Node #0,1,1: 31:[59, 90] Operation: 28+62=90
Exploring Operation: 62-59=3, Resulting Numbers: [28, 3]
Generated Node #0,1,2: 31:[28, 3] Operation: 62-59=3
Exploring Operation: 28+59=87, Resulting Numbers: [62, 87]
Generated Node #0,1,3: 31:[62, 87] Operation: 28+59=87
Exploring Operation: 59-28=31, Resulting Numbers: [62, 31]
Generated Node #0,1,4: 31:[62, 31] Operation: 59-28=31
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 31:[59, 34], Operations: ['70-8=62', '62-28=34']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,31 unequal: No Solution
Exploring Operation: 59*34=2006, Resulting Numbers: [2006]
2006,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 31:[28, 3], Operations: ['70-8=62', '62-59=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,31 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,31 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[28, 59, 70, 8], Operations: []
Exploring Operation: 70-8=62, Resulting Numbers: [28, 59, 62]
Generated Node #0,1: 31:[28, 59, 62] Operation: 70-8=62
Moving to Node #0,1
Current State: 31:[28, 59, 62], Operations: ['70-8=62']
Exploring Operation: 62-59=3, Resulting Numbers: [28, 3]
Generated Node #0,1,2: 31:[28, 3] Operation: 62-59=3
Moving to Node #0,1,2
Current State: 31:[28, 3], Operations: ['70-8=62', '62-59=3']
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_5 | sum_heuristic |
[
9,
3,
27,
93
] | 92 | [
"9*3=27",
"27/27=1",
"93-1=92"
] | Current State: 92:[9, 3, 27, 93], Operations: []
Exploring Operation: 9*3=27, Resulting Numbers: [27, 93, 27]
Generated Node #2: [27, 93, 27] from Operation: 9*3=27
Current State: 92:[27, 93, 27], Operations: ['9*3=27']
Exploring Operation: 27/27=1, Resulting Numbers: [93, 1]
Generated Node #3: [93, 1] from Operation: 27/27=1
Current State: 92:[93, 1], Operations: ['9*3=27', '27/27=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[9, 3, 27, 93], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [3, 93, 3]
Generated Node #0,0: 92:[3, 93, 3] Operation: 27/9=3
Moving to Node #0,0
Current State: 92:[3, 93, 3], Operations: ['27/9=3']
Exploring Operation: 3/3=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 3/3=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['27/9=3', '3/3=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[9, 3, 27, 93], Operations: []
Exploring Operation: 27/9=3, Resulting Numbers: [3, 93, 3]
Generated Node #0,0: 92:[3, 93, 3] Operation: 27/9=3
Moving to Node #0,0
Current State: 92:[3, 93, 3], Operations: ['27/9=3']
Exploring Operation: 3/3=1, Resulting Numbers: [93, 1]
Generated Node #0,0,0: 92:[93, 1] Operation: 3/3=1
Moving to Node #0,0,0
Current State: 92:[93, 1], Operations: ['27/9=3', '3/3=1']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
2,
37,
20,
28
] | 21 | [
"28-20=8",
"2*8=16",
"37-16=21"
] | Current State: 21:[2, 37, 20, 28], Operations: []
Exploring Operation: 28-20=8, Resulting Numbers: [2, 37, 8]
Generated Node #2: [2, 37, 8] from Operation: 28-20=8
Current State: 21:[2, 37, 8], Operations: ['28-20=8']
Exploring Operation: 2*8=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 2*8=16
Current State: 21:[37, 16], Operations: ['28-20=8', '2*8=16']
Exploring Operation: 37-16=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[2, 37, 20, 28], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [2, 20, 9]
Generated Node #0,0: 21:[2, 20, 9] Operation: 37-28=9
Exploring Operation: 37-20=17, Resulting Numbers: [2, 28, 17]
Generated Node #0,1: 21:[2, 28, 17] Operation: 37-20=17
Exploring Operation: 28-20=8, Resulting Numbers: [2, 37, 8]
Generated Node #0,2: 21:[2, 37, 8] Operation: 28-20=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[2, 20, 9], Operations: ['37-28=9']
Exploring Operation: 9-2=7, Resulting Numbers: [20, 7]
Generated Node #0,0,0: 21:[20, 7] Operation: 9-2=7
Exploring Operation: 2*9=18, Resulting Numbers: [20, 18]
Generated Node #0,0,1: 21:[20, 18] Operation: 2*9=18
Exploring Operation: 2+20=22, Resulting Numbers: [9, 22]
Generated Node #0,0,2: 21:[9, 22] Operation: 2+20=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 21:[20, 7], Operations: ['37-28=9', '9-2=7']
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,21 unequal: No Solution
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 21:[9, 22], Operations: ['37-28=9', '2+20=22']
Exploring Operation: 9*22=198, Resulting Numbers: [198]
198,21 unequal: No Solution
Exploring Operation: 9+22=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[20, 18], Operations: ['37-28=9', '2*9=18']
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,21 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 21:[2, 28, 17], Operations: ['37-20=17']
Exploring Operation: 28-17=11, Resulting Numbers: [2, 11]
Generated Node #0,1,0: 21:[2, 11] Operation: 28-17=11
Exploring Operation: 28-2=26, Resulting Numbers: [17, 26]
Generated Node #0,1,1: 21:[17, 26] Operation: 28-2=26
Exploring Operation: 2+17=19, Resulting Numbers: [28, 19]
Generated Node #0,1,2: 21:[28, 19] Operation: 2+17=19
Moving to Node #0,1,0
Current State: 21:[2, 11], Operations: ['37-20=17', '28-17=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,21 unequal: No Solution
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,21 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[17, 26], Operations: ['37-20=17', '28-2=26']
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,21 unequal: No Solution
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[28, 19], Operations: ['37-20=17', '2+17=19']
Exploring Operation: 28*19=532, Resulting Numbers: [532]
532,21 unequal: No Solution
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,21 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[2, 37, 8], Operations: ['28-20=8']
Exploring Operation: 8-2=6, Resulting Numbers: [37, 6]
Generated Node #0,2,0: 21:[37, 6] Operation: 8-2=6
Exploring Operation: 37-8=29, Resulting Numbers: [2, 29]
Generated Node #0,2,1: 21:[2, 29] Operation: 37-8=29
Exploring Operation: 37-2=35, Resulting Numbers: [8, 35]
Generated Node #0,2,2: 21:[8, 35] Operation: 37-2=35
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 21:[2, 29], Operations: ['28-20=8', '37-8=29']
Exploring Operation: 2*29=58, Resulting Numbers: [58]
58,21 unequal: No Solution
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,21 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[8, 35], Operations: ['28-20=8', '37-2=35']
Exploring Operation: 8+35=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 8*35=280, Resulting Numbers: [280]
280,21 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,21 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 21:[37, 6], Operations: ['28-20=8', '8-2=6']
Exploring Operation: 37*6=222, Resulting Numbers: [222]
222,21 unequal: No Solution
Exploring Operation: 37+6=43, Resulting Numbers: [43]
43,21 unequal: No Solution
Exploring Operation: 37-6=31, Resulting Numbers: [31]
31,21 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_3 | mult_heuristic |
[
62,
39,
49,
10
] | 91 | [
"62-49=13",
"10*13=130",
"130-39=91"
] | Current State: 91:[62, 39, 49, 10], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [39, 10, 13]
Generated Node #2: [39, 10, 13] from Operation: 62-49=13
Current State: 91:[39, 10, 13], Operations: ['62-49=13']
Exploring Operation: 10*13=130, Resulting Numbers: [39, 130]
Generated Node #3: [39, 130] from Operation: 10*13=130
Current State: 91:[39, 130], Operations: ['62-49=13', '10*13=130']
Exploring Operation: 130-39=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[62, 39, 49, 10], Operations: []
Exploring Operation: 62-49=13, Resulting Numbers: [39, 10, 13]
Generated Node #0,0: 91:[39, 10, 13] Operation: 62-49=13
Exploring Operation: 39+49=88, Resulting Numbers: [62, 10, 88]
Generated Node #0,1: 91:[62, 10, 88] Operation: 39+49=88
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[39, 10, 13], Operations: ['62-49=13']
Exploring Operation: 39/13=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 91:[10, 3] Operation: 39/13=3
Exploring Operation: 39-10=29, Resulting Numbers: [13, 29]
Generated Node #0,0,1: 91:[13, 29] Operation: 39-10=29
Moving to Node #0,0,0
Current State: 91:[10, 3], Operations: ['62-49=13', '39/13=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,91 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[13, 29], Operations: ['62-49=13', '39-10=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,91 unequal: No Solution
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 91:[62, 10, 88], Operations: ['39+49=88']
Exploring Operation: 88-62=26, Resulting Numbers: [10, 26]
Generated Node #0,1,0: 91:[10, 26] Operation: 88-62=26
Exploring Operation: 62+10=72, Resulting Numbers: [88, 72]
Generated Node #0,1,1: 91:[88, 72] Operation: 62+10=72
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 91:[10, 26], Operations: ['39+49=88', '88-62=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 91:[88, 72], Operations: ['39+49=88', '62+10=72']
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,91 unequal: No Solution
Exploring Operation: 88+72=160, Resulting Numbers: [160]
160,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
54,
8,
26
] | 84 | [
"28*54=1512",
"26-8=18",
"1512/18=84"
] | Current State: 84:[28, 54, 8, 26], Operations: []
Exploring Operation: 28*54=1512, Resulting Numbers: [8, 26, 1512]
Generated Node #2: [8, 26, 1512] from Operation: 28*54=1512
Current State: 84:[8, 26, 1512], Operations: ['28*54=1512']
Exploring Operation: 26-8=18, Resulting Numbers: [1512, 18]
Generated Node #3: [1512, 18] from Operation: 26-8=18
Current State: 84:[1512, 18], Operations: ['28*54=1512', '26-8=18']
Exploring Operation: 1512/18=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[28, 54, 8, 26], Operations: []
Exploring Operation: 54-26=28, Resulting Numbers: [28, 8, 28]
Generated Node #0,0: 84:[28, 8, 28] Operation: 54-26=28
Moving to Node #0,0
Current State: 84:[28, 8, 28], Operations: ['54-26=28']
Exploring Operation: 28-8=20, Resulting Numbers: [28, 20]
Generated Node #0,0,0: 84:[28, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 84:[28, 20], Operations: ['54-26=28', '28-8=20']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
92,
79,
51,
69
] | 31 | [
"92-79=13",
"69-51=18",
"13+18=31"
] | Current State: 31:[92, 79, 51, 69], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [51, 69, 13]
Generated Node #2: [51, 69, 13] from Operation: 92-79=13
Current State: 31:[51, 69, 13], Operations: ['92-79=13']
Exploring Operation: 69-51=18, Resulting Numbers: [13, 18]
Generated Node #3: [13, 18] from Operation: 69-51=18
Current State: 31:[13, 18], Operations: ['92-79=13', '69-51=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[92, 79, 51, 69], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [51, 69, 13]
Generated Node #0,0: 31:[51, 69, 13] Operation: 92-79=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[51, 69, 13], Operations: ['92-79=13']
Exploring Operation: 69-51=18, Resulting Numbers: [13, 18]
Generated Node #0,0,0: 31:[13, 18] Operation: 69-51=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[13, 18], Operations: ['92-79=13', '69-51=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[92, 79, 51, 69], Operations: []
Exploring Operation: 92-79=13, Resulting Numbers: [51, 69, 13]
Generated Node #0,0: 31:[51, 69, 13] Operation: 92-79=13
Moving to Node #0,0
Current State: 31:[51, 69, 13], Operations: ['92-79=13']
Exploring Operation: 69-51=18, Resulting Numbers: [13, 18]
Generated Node #0,0,0: 31:[13, 18] Operation: 69-51=18
Moving to Node #0,0,0
Current State: 31:[13, 18], Operations: ['92-79=13', '69-51=18']
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
59,
52,
77,
59
] | 25 | [
"59+52=111",
"77+59=136",
"136-111=25"
] | Current State: 25:[59, 52, 77, 59], Operations: []
Exploring Operation: 59+52=111, Resulting Numbers: [77, 111]
Generated Node #2: [77, 111] from Operation: 59+52=111
Current State: 25:[77, 111], Operations: ['59+52=111']
Exploring Operation: 77+59=136, Resulting Numbers: [111, 136]
Generated Node #3: [111, 136] from Operation: 77+59=136
Current State: 25:[111, 136], Operations: ['59+52=111', '77+59=136']
Exploring Operation: 136-111=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[59, 52, 77, 59], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [59, 59, 25]
Generated Node #0,0: 25:[59, 59, 25] Operation: 77-52=25
Exploring Operation: 77-59=18, Resulting Numbers: [52, 59, 18]
Generated Node #0,1: 25:[52, 59, 18] Operation: 77-59=18
Moving to Node #0,0
Current State: 25:[59, 59, 25], Operations: ['77-52=25']
Exploring Operation: 59-59=0, Resulting Numbers: [25, 0]
Generated Node #0,0,0: 25:[25, 0] Operation: 59-59=0
Exploring Operation: 59/59=1, Resulting Numbers: [25, 1]
Generated Node #0,0,1: 25:[25, 1] Operation: 59/59=1
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[25, 1], Operations: ['77-52=25', '59/59=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[59, 52, 77, 59], Operations: []
Exploring Operation: 77-52=25, Resulting Numbers: [59, 59, 25]
Generated Node #0,0: 25:[59, 59, 25] Operation: 77-52=25
Moving to Node #0,0
Current State: 25:[59, 59, 25], Operations: ['77-52=25']
Exploring Operation: 59/59=1, Resulting Numbers: [25, 1]
Generated Node #0,0,1: 25:[25, 1] Operation: 59/59=1
Moving to Node #0,0,1
Current State: 25:[25, 1], Operations: ['77-52=25', '59/59=1']
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
22,
53,
12,
57
] | 60 | [
"53+57=110",
"110/22=5",
"12*5=60"
] | Current State: 60:[22, 53, 12, 57], Operations: []
Exploring Operation: 53+57=110, Resulting Numbers: [22, 12, 110]
Generated Node #2: [22, 12, 110] from Operation: 53+57=110
Current State: 60:[22, 12, 110], Operations: ['53+57=110']
Exploring Operation: 110/22=5, Resulting Numbers: [12, 5]
Generated Node #3: [12, 5] from Operation: 110/22=5
Current State: 60:[12, 5], Operations: ['53+57=110', '110/22=5']
Exploring Operation: 12*5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[22, 53, 12, 57], Operations: []
Exploring Operation: 53-22=31, Resulting Numbers: [12, 57, 31]
Generated Node #0,0: 60:[12, 57, 31] Operation: 53-22=31
Exploring Operation: 22-12=10, Resulting Numbers: [53, 57, 10]
Generated Node #0,1: 60:[53, 57, 10] Operation: 22-12=10
Exploring Operation: 53+12=65, Resulting Numbers: [22, 57, 65]
Generated Node #0,2: 60:[22, 57, 65] Operation: 53+12=65
Exploring Operation: 57-53=4, Resulting Numbers: [22, 12, 4]
Generated Node #0,3: 60:[22, 12, 4] Operation: 57-53=4
Moving to Node #0,3
Current State: 60:[22, 12, 4], Operations: ['57-53=4']
Exploring Operation: 12/4=3, Resulting Numbers: [22, 3]
Generated Node #0,3,0: 60:[22, 3] Operation: 12/4=3
Exploring Operation: 22-12=10, Resulting Numbers: [4, 10]
Generated Node #0,3,1: 60:[4, 10] Operation: 22-12=10
Exploring Operation: 22-4=18, Resulting Numbers: [12, 18]
Generated Node #0,3,2: 60:[12, 18] Operation: 22-4=18
Exploring Operation: 12+4=16, Resulting Numbers: [22, 16]
Generated Node #0,3,3: 60:[22, 16] Operation: 12+4=16
Moving to Node #0,0
Current State: 60:[12, 57, 31], Operations: ['53-22=31']
Exploring Operation: 57-12=45, Resulting Numbers: [31, 45]
Generated Node #0,0,0: 60:[31, 45] Operation: 57-12=45
Exploring Operation: 31-12=19, Resulting Numbers: [57, 19]
Generated Node #0,0,1: 60:[57, 19] Operation: 31-12=19
Exploring Operation: 12+57=69, Resulting Numbers: [31, 69]
Generated Node #0,0,2: 60:[31, 69] Operation: 12+57=69
Exploring Operation: 57-31=26, Resulting Numbers: [12, 26]
Generated Node #0,0,3: 60:[12, 26] Operation: 57-31=26
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 60:[57, 19], Operations: ['53-22=31', '31-12=19']
Exploring Operation: 57-19=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 57*19=1083, Resulting Numbers: [1083]
1083,60 unequal: No Solution
Exploring Operation: 57/19=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 57+19=76, Resulting Numbers: [76]
76,60 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:[12, 26], Operations: ['53-22=31', '57-31=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,60 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,60 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:[31, 69], Operations: ['53-22=31', '12+57=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,60 unequal: No Solution
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 60:[31, 45], Operations: ['53-22=31', '57-12=45']
Exploring Operation: 45-31=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 31*45=1395, Resulting Numbers: [1395]
1395,60 unequal: No Solution
Exploring Operation: 31+45=76, Resulting Numbers: [76]
76,60 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: 60:[22, 57, 65], Operations: ['53+12=65']
Exploring Operation: 22+57=79, Resulting Numbers: [65, 79]
Generated Node #0,2,0: 60:[65, 79] Operation: 22+57=79
Exploring Operation: 57-22=35, Resulting Numbers: [65, 35]
Generated Node #0,2,1: 60:[65, 35] Operation: 57-22=35
Exploring Operation: 65-57=8, Resulting Numbers: [22, 8]
Generated Node #0,2,2: 60:[22, 8] Operation: 65-57=8
Exploring Operation: 65-22=43, Resulting Numbers: [57, 43]
Generated Node #0,2,3: 60:[57, 43] Operation: 65-22=43
Moving to Node #0,1
Current State: 60:[53, 57, 10], Operations: ['22-12=10']
Exploring Operation: 57-53=4, Resulting Numbers: [10, 4]
Generated Node #0,1,0: 60:[10, 4] Operation: 57-53=4
Exploring Operation: 57+10=67, Resulting Numbers: [53, 67]
Generated Node #0,1,1: 60:[53, 67] Operation: 57+10=67
Exploring Operation: 53-10=43, Resulting Numbers: [57, 43]
Generated Node #0,1,2: 60:[57, 43] Operation: 53-10=43
Exploring Operation: 53+10=63, Resulting Numbers: [57, 63]
Generated Node #0,1,3: 60:[57, 63] Operation: 53+10=63
Moving to Node #0,3,1
Current State: 60:[4, 10], Operations: ['57-53=4', '22-12=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[10, 4], Operations: ['22-12=10', '57-53=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,60 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[12, 18], Operations: ['57-53=4', '22-4=18']
Exploring Operation: 12+18=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 18-12=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 12*18=216, Resulting Numbers: [216]
216,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[22, 3], Operations: ['57-53=4', '12/4=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,60 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[22, 16], Operations: ['57-53=4', '12+4=16']
Exploring Operation: 22*16=352, Resulting Numbers: [352]
352,60 unequal: No Solution
Exploring Operation: 22+16=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Exploring Operation: 22-16=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[22, 8], Operations: ['53+12=65', '65-57=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,60 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[57, 63], Operations: ['22-12=10', '53+10=63']
Exploring Operation: 57+63=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Exploring Operation: 63-57=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Exploring Operation: 57*63=3591, Resulting Numbers: [3591]
3591,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[65, 35], Operations: ['53+12=65', '57-22=35']
Exploring Operation: 65+35=100, Resulting Numbers: [100]
100,60 unequal: No Solution
Exploring Operation: 65-35=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Exploring Operation: 65*35=2275, Resulting Numbers: [2275]
2275,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[53, 67], Operations: ['22-12=10', '57+10=67']
Exploring Operation: 53+67=120, Resulting Numbers: [120]
120,60 unequal: No Solution
Exploring Operation: 53*67=3551, Resulting Numbers: [3551]
3551,60 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,2,3
Current State: 60:[57, 43], Operations: ['53+12=65', '65-22=43']
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,60 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[57, 43], Operations: ['22-12=10', '53-10=43']
Exploring Operation: 57+43=100, Resulting Numbers: [100]
100,60 unequal: No Solution
Exploring Operation: 57-43=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 57*43=2451, Resulting Numbers: [2451]
2451,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[65, 79], Operations: ['53+12=65', '22+57=79']
Exploring Operation: 65*79=5135, Resulting Numbers: [5135]
5135,60 unequal: No Solution
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 65+79=144, Resulting Numbers: [144]
144,60 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
22,
8,
29,
27
] | 16 | [
"22-8=14",
"29-27=2",
"14+2=16"
] | Current State: 16:[22, 8, 29, 27], Operations: []
Exploring Operation: 22-8=14, Resulting Numbers: [29, 27, 14]
Generated Node #2: [29, 27, 14] from Operation: 22-8=14
Current State: 16:[29, 27, 14], Operations: ['22-8=14']
Exploring Operation: 29-27=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 29-27=2
Current State: 16:[14, 2], Operations: ['22-8=14', '29-27=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[22, 8, 29, 27], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [8, 29, 5]
Generated Node #0,0: 16:[8, 29, 5] Operation: 27-22=5
Exploring Operation: 29-22=7, Resulting Numbers: [8, 27, 7]
Generated Node #0,1: 16:[8, 27, 7] Operation: 29-22=7
Exploring Operation: 29-27=2, Resulting Numbers: [22, 8, 2]
Generated Node #0,2: 16:[22, 8, 2] Operation: 29-27=2
Exploring Operation: 29-8=21, Resulting Numbers: [22, 27, 21]
Generated Node #0,3: 16:[22, 27, 21] Operation: 29-8=21
Moving to Node #0,2
Current State: 16:[22, 8, 2], Operations: ['29-27=2']
Exploring Operation: 22/2=11, Resulting Numbers: [8, 11]
Generated Node #0,2,0: 16:[8, 11] Operation: 22/2=11
Exploring Operation: 8*2=16, Resulting Numbers: [22, 16]
Generated Node #0,2,1: 16:[22, 16] Operation: 8*2=16
Exploring Operation: 22-8=14, Resulting Numbers: [2, 14]
Generated Node #0,2,2: 16:[2, 14] Operation: 22-8=14
Exploring Operation: 22-2=20, Resulting Numbers: [8, 20]
Generated Node #0,2,3: 16:[8, 20] Operation: 22-2=20
Moving to Node #0,1
Current State: 16:[8, 27, 7], Operations: ['29-22=7']
Exploring Operation: 27-7=20, Resulting Numbers: [8, 20]
Generated Node #0,1,0: 16:[8, 20] Operation: 27-7=20
Exploring Operation: 8+7=15, Resulting Numbers: [27, 15]
Generated Node #0,1,1: 16:[27, 15] Operation: 8+7=15
Exploring Operation: 27-8=19, Resulting Numbers: [7, 19]
Generated Node #0,1,2: 16:[7, 19] Operation: 27-8=19
Exploring Operation: 8-7=1, Resulting Numbers: [27, 1]
Generated Node #0,1,3: 16:[27, 1] Operation: 8-7=1
Moving to Node #0,0
Current State: 16:[8, 29, 5], Operations: ['27-22=5']
Exploring Operation: 8+5=13, Resulting Numbers: [29, 13]
Generated Node #0,0,0: 16:[29, 13] Operation: 8+5=13
Exploring Operation: 8-5=3, Resulting Numbers: [29, 3]
Generated Node #0,0,1: 16:[29, 3] Operation: 8-5=3
Exploring Operation: 29-8=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 16:[5, 21] Operation: 29-8=21
Exploring Operation: 29-5=24, Resulting Numbers: [8, 24]
Generated Node #0,0,3: 16:[8, 24] Operation: 29-5=24
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[5, 21], Operations: ['27-22=5', '29-8=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,16 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[22, 8, 29, 27], Operations: []
Exploring Operation: 27-22=5, Resulting Numbers: [8, 29, 5]
Generated Node #0,0: 16:[8, 29, 5] Operation: 27-22=5
Moving to Node #0,0
Current State: 16:[8, 29, 5], Operations: ['27-22=5']
Exploring Operation: 29-8=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 16:[5, 21] Operation: 29-8=21
Moving to Node #0,0,2
Current State: 16:[5, 21], Operations: ['27-22=5', '29-8=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_4 | mult_heuristic |
[
82,
62,
70,
71
] | 19 | [
"82-62=20",
"71-70=1",
"20-1=19"
] | Current State: 19:[82, 62, 70, 71], Operations: []
Exploring Operation: 82-62=20, Resulting Numbers: [70, 71, 20]
Generated Node #2: [70, 71, 20] from Operation: 82-62=20
Current State: 19:[70, 71, 20], Operations: ['82-62=20']
Exploring Operation: 71-70=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 71-70=1
Current State: 19:[20, 1], Operations: ['82-62=20', '71-70=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[82, 62, 70, 71], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [62, 71, 12]
Generated Node #0,0: 19:[62, 71, 12] Operation: 82-70=12
Exploring Operation: 82-71=11, Resulting Numbers: [62, 70, 11]
Generated Node #0,1: 19:[62, 70, 11] Operation: 82-71=11
Exploring Operation: 82-62=20, Resulting Numbers: [70, 71, 20]
Generated Node #0,2: 19:[70, 71, 20] Operation: 82-62=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[62, 71, 12], Operations: ['82-70=12']
Exploring Operation: 71-12=59, Resulting Numbers: [62, 59]
Generated Node #0,0,0: 19:[62, 59] Operation: 71-12=59
Exploring Operation: 71-62=9, Resulting Numbers: [12, 9]
Generated Node #0,0,1: 19:[12, 9] Operation: 71-62=9
Exploring Operation: 62-12=50, Resulting Numbers: [71, 50]
Generated Node #0,0,2: 19:[71, 50] Operation: 62-12=50
Moving to Node #0,0,1
Current State: 19:[12, 9], Operations: ['82-70=12', '71-62=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[62, 59], Operations: ['82-70=12', '71-12=59']
Exploring Operation: 62*59=3658, Resulting Numbers: [3658]
3658,19 unequal: No Solution
Exploring Operation: 62+59=121, Resulting Numbers: [121]
121,19 unequal: No Solution
Exploring Operation: 62-59=3, Resulting Numbers: [3]
3,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[71, 50], Operations: ['82-70=12', '62-12=50']
Exploring Operation: 71-50=21, Resulting Numbers: [21]
21,19 unequal: No Solution
Exploring Operation: 71*50=3550, Resulting Numbers: [3550]
3550,19 unequal: No Solution
Exploring Operation: 71+50=121, Resulting Numbers: [121]
121,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[62, 70, 11], Operations: ['82-71=11']
Exploring Operation: 70-11=59, Resulting Numbers: [62, 59]
Generated Node #0,1,0: 19:[62, 59] Operation: 70-11=59
Exploring Operation: 62-11=51, Resulting Numbers: [70, 51]
Generated Node #0,1,1: 19:[70, 51] Operation: 62-11=51
Exploring Operation: 70-62=8, Resulting Numbers: [11, 8]
Generated Node #0,1,2: 19:[11, 8] Operation: 70-62=8
Moving to Node #0,1,2
Current State: 19:[11, 8], Operations: ['82-71=11', '70-62=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[82, 62, 70, 71], Operations: []
Exploring Operation: 82-71=11, Resulting Numbers: [62, 70, 11]
Generated Node #0,1: 19:[62, 70, 11] Operation: 82-71=11
Moving to Node #0,1
Current State: 19:[62, 70, 11], Operations: ['82-71=11']
Exploring Operation: 70-62=8, Resulting Numbers: [11, 8]
Generated Node #0,1,2: 19:[11, 8] Operation: 70-62=8
Moving to Node #0,1,2
Current State: 19:[11, 8], Operations: ['82-71=11', '70-62=8']
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_3 | mult_heuristic |
[
16,
56,
32,
22
] | 77 | [
"32-16=16",
"56*22=1232",
"1232/16=77"
] | Current State: 77:[16, 56, 32, 22], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [56, 22, 16]
Generated Node #2: [56, 22, 16] from Operation: 32-16=16
Current State: 77:[56, 22, 16], Operations: ['32-16=16']
Exploring Operation: 56*22=1232, Resulting Numbers: [16, 1232]
Generated Node #3: [16, 1232] from Operation: 56*22=1232
Current State: 77:[16, 1232], Operations: ['32-16=16', '56*22=1232']
Exploring Operation: 1232/16=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[16, 56, 32, 22], Operations: []
Exploring Operation: 56+32=88, Resulting Numbers: [16, 22, 88]
Generated Node #0,0: 77:[16, 22, 88] Operation: 56+32=88
Exploring Operation: 32-22=10, Resulting Numbers: [16, 56, 10]
Generated Node #0,1: 77:[16, 56, 10] Operation: 32-22=10
Exploring Operation: 56-32=24, Resulting Numbers: [16, 22, 24]
Generated Node #0,2: 77:[16, 22, 24] Operation: 56-32=24
Exploring Operation: 56+22=78, Resulting Numbers: [16, 32, 78]
Generated Node #0,3: 77:[16, 32, 78] Operation: 56+22=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[16, 22, 88], Operations: ['56+32=88']
Exploring Operation: 22-16=6, Resulting Numbers: [88, 6]
Generated Node #0,0,0: 77:[88, 6] Operation: 22-16=6
Exploring Operation: 88-16=72, Resulting Numbers: [22, 72]
Generated Node #0,0,1: 77:[22, 72] Operation: 88-16=72
Exploring Operation: 88/22=4, Resulting Numbers: [16, 4]
Generated Node #0,0,2: 77:[16, 4] Operation: 88/22=4
Exploring Operation: 88-22=66, Resulting Numbers: [16, 66]
Generated Node #0,0,3: 77:[16, 66] Operation: 88-22=66
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 77:[16, 4], Operations: ['56+32=88', '88/22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,77 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,77 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[88, 6], Operations: ['56+32=88', '22-16=6']
Exploring Operation: 88+6=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 88*6=528, Resulting Numbers: [528]
528,77 unequal: No Solution
Exploring Operation: 88-6=82, Resulting Numbers: [82]
82,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 77:[22, 72], Operations: ['56+32=88', '88-16=72']
Exploring Operation: 22+72=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 72-22=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 22*72=1584, Resulting Numbers: [1584]
1584,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 77:[16, 66], Operations: ['56+32=88', '88-22=66']
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,77 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[16, 56, 10], Operations: ['32-22=10']
Exploring Operation: 56-16=40, Resulting Numbers: [10, 40]
Generated Node #0,1,0: 77:[10, 40] Operation: 56-16=40
Exploring Operation: 16-10=6, Resulting Numbers: [56, 6]
Generated Node #0,1,1: 77:[56, 6] Operation: 16-10=6
Exploring Operation: 16+56=72, Resulting Numbers: [10, 72]
Generated Node #0,1,2: 77:[10, 72] Operation: 16+56=72
Exploring Operation: 56+10=66, Resulting Numbers: [16, 66]
Generated Node #0,1,3: 77:[16, 66] Operation: 56+10=66
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 77:[10, 72], Operations: ['32-22=10', '16+56=72']
Exploring Operation: 10+72=82, Resulting Numbers: [82]
82,77 unequal: No Solution
Exploring Operation: 10*72=720, Resulting Numbers: [720]
720,77 unequal: No Solution
Exploring Operation: 72-10=62, Resulting Numbers: [62]
62,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 77:[16, 66], Operations: ['32-22=10', '56+10=66']
Exploring Operation: 16*66=1056, Resulting Numbers: [1056]
1056,77 unequal: No Solution
Exploring Operation: 16+66=82, Resulting Numbers: [82]
82,77 unequal: No Solution
Exploring Operation: 66-16=50, Resulting Numbers: [50]
50,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[56, 6], Operations: ['32-22=10', '16-10=6']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 56+6=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 56*6=336, Resulting Numbers: [336]
336,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[10, 40], Operations: ['32-22=10', '56-16=40']
Exploring Operation: 10+40=50, Resulting Numbers: [50]
50,77 unequal: No Solution
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 40/10=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 10*40=400, Resulting Numbers: [400]
400,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[16, 32, 78], Operations: ['56+22=78']
Exploring Operation: 16+32=48, Resulting Numbers: [78, 48]
Generated Node #0,3,0: 77:[78, 48] Operation: 16+32=48
Exploring Operation: 32/16=2, Resulting Numbers: [78, 2]
Generated Node #0,3,1: 77:[78, 2] Operation: 32/16=2
Exploring Operation: 78-16=62, Resulting Numbers: [32, 62]
Generated Node #0,3,2: 77:[32, 62] Operation: 78-16=62
Exploring Operation: 32-16=16, Resulting Numbers: [78, 16]
Generated Node #0,3,3: 77:[78, 16] Operation: 32-16=16
Moving to Node #0,3,1
Current State: 77:[78, 2], Operations: ['56+22=78', '32/16=2']
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,77 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,77 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,77 unequal: No Solution
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[78, 16], Operations: ['56+22=78', '32-16=16']
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,77 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,77 unequal: No Solution
Moving to Node #0,3,0
Current State: 77:[78, 48], Operations: ['56+22=78', '16+32=48']
Exploring Operation: 78+48=126, Resulting Numbers: [126]
126,77 unequal: No Solution
Exploring Operation: 78-48=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 78*48=3744, Resulting Numbers: [3744]
3744,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[32, 62], Operations: ['56+22=78', '78-16=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,77 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[16, 22, 24], Operations: ['56-32=24']
Exploring Operation: 22+24=46, Resulting Numbers: [16, 46]
Generated Node #0,2,0: 77:[16, 46] Operation: 22+24=46
Exploring Operation: 22-16=6, Resulting Numbers: [24, 6]
Generated Node #0,2,1: 77:[24, 6] Operation: 22-16=6
Exploring Operation: 24-22=2, Resulting Numbers: [16, 2]
Generated Node #0,2,2: 77:[16, 2] Operation: 24-22=2
Exploring Operation: 24-16=8, Resulting Numbers: [22, 8]
Generated Node #0,2,3: 77:[22, 8] Operation: 24-16=8
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[16, 2], Operations: ['56-32=24', '24-22=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,77 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,77 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,77 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 77:[22, 8], Operations: ['56-32=24', '24-16=8']
Exploring Operation: 22-8=14, Resulting Numbers: [14]
14,77 unequal: No Solution
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 22*8=176, Resulting Numbers: [176]
176,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[24, 6], Operations: ['56-32=24', '22-16=6']
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,77 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,77 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,77 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[16, 46], Operations: ['56-32=24', '22+24=46']
Exploring Operation: 16*46=736, Resulting Numbers: [736]
736,77 unequal: No Solution
Exploring Operation: 16+46=62, Resulting Numbers: [62]
62,77 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
24,
51,
75,
48
] | 12 | [
"48/24=2",
"75-51=24",
"24/2=12"
] | Current State: 12:[24, 51, 75, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [51, 75, 2]
Generated Node #2: [51, 75, 2] from Operation: 48/24=2
Current State: 12:[51, 75, 2], Operations: ['48/24=2']
Exploring Operation: 75-51=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 75-51=24
Current State: 12:[2, 24], Operations: ['48/24=2', '75-51=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[24, 51, 75, 48], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [51, 75, 2]
Generated Node #0,0: 12:[51, 75, 2] Operation: 48/24=2
Exploring Operation: 51-48=3, Resulting Numbers: [24, 75, 3]
Generated Node #0,1: 12:[24, 75, 3] Operation: 51-48=3
Exploring Operation: 75-48=27, Resulting Numbers: [24, 51, 27]
Generated Node #0,2: 12:[24, 51, 27] Operation: 75-48=27
Exploring Operation: 75-51=24, Resulting Numbers: [24, 48, 24]
Generated Node #0,3: 12:[24, 48, 24] Operation: 75-51=24
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[24, 48, 24], Operations: ['75-51=24']
Exploring Operation: 48/24=2, Resulting Numbers: [24, 2]
Generated Node #0,3,0: 12:[24, 2] Operation: 48/24=2
Exploring Operation: 48-24=24, Resulting Numbers: [24, 24]
Generated Node #0,3,1: 12:[24, 24] Operation: 48-24=24
Exploring Operation: 48-24=24, Resulting Numbers: [24, 24]
Generated Node #0,3,2: 12:[24, 24] Operation: 48-24=24
Exploring Operation: 48/24=2, Resulting Numbers: [24, 2]
Generated Node #0,3,3: 12:[24, 2] Operation: 48/24=2
Moving to Node #0,3,0
Current State: 12:[24, 2], Operations: ['75-51=24', '48/24=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,12 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[24, 51, 75, 48], Operations: []
Exploring Operation: 75-51=24, Resulting Numbers: [24, 48, 24]
Generated Node #0,3: 12:[24, 48, 24] Operation: 75-51=24
Moving to Node #0,3
Current State: 12:[24, 48, 24], Operations: ['75-51=24']
Exploring Operation: 48/24=2, Resulting Numbers: [24, 2]
Generated Node #0,3,0: 12:[24, 2] Operation: 48/24=2
Moving to Node #0,3,0
Current State: 12:[24, 2], Operations: ['75-51=24', '48/24=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
22,
4,
78,
5
] | 39 | [
"4*5=20",
"22-20=2",
"78/2=39"
] | Current State: 39:[22, 4, 78, 5], Operations: []
Exploring Operation: 4*5=20, Resulting Numbers: [22, 78, 20]
Generated Node #2: [22, 78, 20] from Operation: 4*5=20
Current State: 39:[22, 78, 20], Operations: ['4*5=20']
Exploring Operation: 22-20=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 22-20=2
Current State: 39:[78, 2], Operations: ['4*5=20', '22-20=2']
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[22, 4, 78, 5], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [4, 78, 17]
Generated Node #0,0: 39:[4, 78, 17] Operation: 22-5=17
Exploring Operation: 78-4=74, Resulting Numbers: [22, 5, 74]
Generated Node #0,1: 39:[22, 5, 74] Operation: 78-4=74
Exploring Operation: 22-4=18, Resulting Numbers: [78, 5, 18]
Generated Node #0,2: 39:[78, 5, 18] Operation: 22-4=18
Exploring Operation: 78-22=56, Resulting Numbers: [4, 5, 56]
Generated Node #0,3: 39:[4, 5, 56] Operation: 78-22=56
Exploring Operation: 78-5=73, Resulting Numbers: [22, 4, 73]
Generated Node #0,4: 39:[22, 4, 73] Operation: 78-5=73
Moving to Node #0,3
Current State: 39:[4, 5, 56], Operations: ['78-22=56']
Exploring Operation: 5-4=1, Resulting Numbers: [56, 1]
Generated Node #0,3,0: 39:[56, 1] Operation: 5-4=1
Exploring Operation: 56/4=14, Resulting Numbers: [5, 14]
Generated Node #0,3,1: 39:[5, 14] Operation: 56/4=14
Exploring Operation: 56-4=52, Resulting Numbers: [5, 52]
Generated Node #0,3,2: 39:[5, 52] Operation: 56-4=52
Exploring Operation: 56-5=51, Resulting Numbers: [4, 51]
Generated Node #0,3,3: 39:[4, 51] Operation: 56-5=51
Exploring Operation: 4+5=9, Resulting Numbers: [56, 9]
Generated Node #0,3,4: 39:[56, 9] Operation: 4+5=9
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 39:[5, 14], Operations: ['78-22=56', '56/4=14']
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,39 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,39 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 39:[4, 51], Operations: ['78-22=56', '56-5=51']
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,39 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 39:[5, 52], Operations: ['78-22=56', '56-4=52']
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,39 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 39:[56, 1], Operations: ['78-22=56', '5-4=1']
Exploring Operation: 56-1=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 56*1=56, Resulting Numbers: [56]
56,39 unequal: No Solution
Exploring Operation: 56/1=56, Resulting Numbers: [56]
56,39 unequal: No Solution
Exploring Operation: 56+1=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 39:[56, 9], Operations: ['78-22=56', '4+5=9']
Exploring Operation: 56*9=504, Resulting Numbers: [504]
504,39 unequal: No Solution
Exploring Operation: 56-9=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 56+9=65, Resulting Numbers: [65]
65,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 39:[22, 4, 73], Operations: ['78-5=73']
Exploring Operation: 73-22=51, Resulting Numbers: [4, 51]
Generated Node #0,4,0: 39:[4, 51] Operation: 73-22=51
Exploring Operation: 22+4=26, Resulting Numbers: [73, 26]
Generated Node #0,4,1: 39:[73, 26] Operation: 22+4=26
Exploring Operation: 73-4=69, Resulting Numbers: [22, 69]
Generated Node #0,4,2: 39:[22, 69] Operation: 73-4=69
Exploring Operation: 4+73=77, Resulting Numbers: [22, 77]
Generated Node #0,4,3: 39:[22, 77] Operation: 4+73=77
Exploring Operation: 22-4=18, Resulting Numbers: [73, 18]
Generated Node #0,4,4: 39:[73, 18] Operation: 22-4=18
Moving to Node #0,0
Current State: 39:[4, 78, 17], Operations: ['22-5=17']
Exploring Operation: 78-4=74, Resulting Numbers: [17, 74]
Generated Node #0,0,0: 39:[17, 74] Operation: 78-4=74
Exploring Operation: 4+78=82, Resulting Numbers: [17, 82]
Generated Node #0,0,1: 39:[17, 82] Operation: 4+78=82
Exploring Operation: 78-17=61, Resulting Numbers: [4, 61]
Generated Node #0,0,2: 39:[4, 61] Operation: 78-17=61
Exploring Operation: 4+17=21, Resulting Numbers: [78, 21]
Generated Node #0,0,3: 39:[78, 21] Operation: 4+17=21
Exploring Operation: 17-4=13, Resulting Numbers: [78, 13]
Generated Node #0,0,4: 39:[78, 13] Operation: 17-4=13
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[4, 61], Operations: ['22-5=17', '78-17=61']
Exploring Operation: 4*61=244, Resulting Numbers: [244]
244,39 unequal: No Solution
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[17, 74], Operations: ['22-5=17', '78-4=74']
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,39 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 17*74=1258, Resulting Numbers: [1258]
1258,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 39:[78, 13], Operations: ['22-5=17', '17-4=13']
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,39 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,39 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[17, 82], Operations: ['22-5=17', '4+78=82']
Exploring Operation: 82-17=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 17+82=99, Resulting Numbers: [99]
99,39 unequal: No Solution
Exploring Operation: 17*82=1394, Resulting Numbers: [1394]
1394,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 39:[78, 21], Operations: ['22-5=17', '4+17=21']
Exploring Operation: 78+21=99, Resulting Numbers: [99]
99,39 unequal: No Solution
Exploring Operation: 78*21=1638, Resulting Numbers: [1638]
1638,39 unequal: No Solution
Exploring Operation: 78-21=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 39:[22, 5, 74], Operations: ['78-4=74']
Exploring Operation: 22-5=17, Resulting Numbers: [74, 17]
Generated Node #0,1,0: 39:[74, 17] Operation: 22-5=17
Exploring Operation: 22+5=27, Resulting Numbers: [74, 27]
Generated Node #0,1,1: 39:[74, 27] Operation: 22+5=27
Exploring Operation: 5+74=79, Resulting Numbers: [22, 79]
Generated Node #0,1,2: 39:[22, 79] Operation: 5+74=79
Exploring Operation: 74-22=52, Resulting Numbers: [5, 52]
Generated Node #0,1,3: 39:[5, 52] Operation: 74-22=52
Exploring Operation: 74-5=69, Resulting Numbers: [22, 69]
Generated Node #0,1,4: 39:[22, 69] Operation: 74-5=69
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 39:[5, 52], Operations: ['78-4=74', '74-22=52']
Exploring Operation: 5*52=260, Resulting Numbers: [260]
260,39 unequal: No Solution
Exploring Operation: 5+52=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 52-5=47, Resulting Numbers: [47]
47,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 39:[74, 17], Operations: ['78-4=74', '22-5=17']
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,39 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,39 unequal: No Solution
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 39:[22, 69], Operations: ['78-4=74', '74-5=69']
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,39 unequal: No Solution
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 39:[74, 27], Operations: ['78-4=74', '22+5=27']
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,39 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 39:[22, 79], Operations: ['78-4=74', '5+74=79']
Exploring Operation: 22*79=1738, Resulting Numbers: [1738]
1738,39 unequal: No Solution
Exploring Operation: 22+79=101, Resulting Numbers: [101]
101,39 unequal: No Solution
Exploring Operation: 79-22=57, Resulting Numbers: [57]
57,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 39:[78, 5, 18], Operations: ['22-4=18']
Exploring Operation: 18-5=13, Resulting Numbers: [78, 13]
Generated Node #0,2,0: 39:[78, 13] Operation: 18-5=13
Exploring Operation: 78+5=83, Resulting Numbers: [18, 83]
Generated Node #0,2,1: 39:[18, 83] Operation: 78+5=83
Exploring Operation: 78-5=73, Resulting Numbers: [18, 73]
Generated Node #0,2,2: 39:[18, 73] Operation: 78-5=73
Exploring Operation: 78-18=60, Resulting Numbers: [5, 60]
Generated Node #0,2,3: 39:[5, 60] Operation: 78-18=60
Exploring Operation: 5+18=23, Resulting Numbers: [78, 23]
Generated Node #0,2,4: 39:[78, 23] Operation: 5+18=23
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 39:[5, 60], Operations: ['22-4=18', '78-18=60']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,39 unequal: No Solution
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 5*60=300, Resulting Numbers: [300]
300,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 39:[78, 13], Operations: ['22-4=18', '18-5=13']
Exploring Operation: 78*13=1014, Resulting Numbers: [1014]
1014,39 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,39 unequal: No Solution
Exploring Operation: 78+13=91, Resulting Numbers: [91]
91,39 unequal: No Solution
Exploring Operation: 78/13=6, Resulting Numbers: [6]
6,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 39:[18, 73], Operations: ['22-4=18', '78-5=73']
Exploring Operation: 18*73=1314, Resulting Numbers: [1314]
1314,39 unequal: No Solution
Exploring Operation: 18+73=91, Resulting Numbers: [91]
91,39 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 39:[18, 83], Operations: ['22-4=18', '78+5=83']
Exploring Operation: 18+83=101, Resulting Numbers: [101]
101,39 unequal: No Solution
Exploring Operation: 18*83=1494, Resulting Numbers: [1494]
1494,39 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 39:[78, 23], Operations: ['22-4=18', '5+18=23']
Exploring Operation: 78+23=101, Resulting Numbers: [101]
101,39 unequal: No Solution
Exploring Operation: 78-23=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 78*23=1794, Resulting Numbers: [1794]
1794,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 39:[4, 51], Operations: ['78-5=73', '73-22=51']
Exploring Operation: 4+51=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 4*51=204, Resulting Numbers: [204]
204,39 unequal: No Solution
Moving to Node #0,4,4
Current State: 39:[73, 18], Operations: ['78-5=73', '22-4=18']
Exploring Operation: 73*18=1314, Resulting Numbers: [1314]
1314,39 unequal: No Solution
Exploring Operation: 73-18=55, Resulting Numbers: [55]
55,39 unequal: No Solution
Exploring Operation: 73+18=91, Resulting Numbers: [91]
91,39 unequal: No Solution
Moving to Node #0,4,2
Current State: 39:[22, 69], Operations: ['78-5=73', '73-4=69']
Exploring Operation: 22*69=1518, Resulting Numbers: [1518]
1518,39 unequal: No Solution
Exploring Operation: 69-22=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,39 unequal: No Solution
Moving to Node #0,4,1
Current State: 39:[73, 26], Operations: ['78-5=73', '22+4=26']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 73*26=1898, Resulting Numbers: [1898]
1898,39 unequal: No Solution
Exploring Operation: 73+26=99, Resulting Numbers: [99]
99,39 unequal: No Solution
Moving to Node #0,4,3
Current State: 39:[22, 77], Operations: ['78-5=73', '4+73=77']
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,39 unequal: No Solution
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,39 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,39 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
74,
4,
23,
29
] | 61 | [
"23+29=52",
"52/4=13",
"74-13=61"
] | Current State: 61:[74, 4, 23, 29], Operations: []
Exploring Operation: 23+29=52, Resulting Numbers: [74, 4, 52]
Generated Node #2: [74, 4, 52] from Operation: 23+29=52
Current State: 61:[74, 4, 52], Operations: ['23+29=52']
Exploring Operation: 52/4=13, Resulting Numbers: [74, 13]
Generated Node #3: [74, 13] from Operation: 52/4=13
Current State: 61:[74, 13], Operations: ['23+29=52', '52/4=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[74, 4, 23, 29], Operations: []
Exploring Operation: 4*23=92, Resulting Numbers: [74, 29, 92]
Generated Node #0,0: 61:[74, 29, 92] Operation: 4*23=92
Exploring Operation: 4+23=27, Resulting Numbers: [74, 29, 27]
Generated Node #0,1: 61:[74, 29, 27] Operation: 4+23=27
Exploring Operation: 74-4=70, Resulting Numbers: [23, 29, 70]
Generated Node #0,2: 61:[23, 29, 70] Operation: 74-4=70
Moving to Node #0,0
Current State: 61:[74, 29, 92], Operations: ['4*23=92']
Exploring Operation: 74-29=45, Resulting Numbers: [92, 45]
Generated Node #0,0,0: 61:[92, 45] Operation: 74-29=45
Exploring Operation: 74+29=103, Resulting Numbers: [92, 103]
Generated Node #0,0,1: 61:[92, 103] Operation: 74+29=103
Exploring Operation: 92-29=63, Resulting Numbers: [74, 63]
Generated Node #0,0,2: 61:[74, 63] Operation: 92-29=63
Moving to Node #0,1
Current State: 61:[74, 29, 27], Operations: ['4+23=27']
Exploring Operation: 74-27=47, Resulting Numbers: [29, 47]
Generated Node #0,1,0: 61:[29, 47] Operation: 74-27=47
Exploring Operation: 74-29=45, Resulting Numbers: [27, 45]
Generated Node #0,1,1: 61:[27, 45] Operation: 74-29=45
Exploring Operation: 29+27=56, Resulting Numbers: [74, 56]
Generated Node #0,1,2: 61:[74, 56] Operation: 29+27=56
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 61:[74, 56], Operations: ['4+23=27', '29+27=56']
Exploring Operation: 74-56=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 74*56=4144, Resulting Numbers: [4144]
4144,61 unequal: No Solution
Exploring Operation: 74+56=130, Resulting Numbers: [130]
130,61 unequal: No Solution
No 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: 61:[29, 47], Operations: ['4+23=27', '74-27=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,61 unequal: No Solution
No 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: 61:[27, 45], Operations: ['4+23=27', '74-29=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,61 unequal: No Solution
Exploring Operation: 27*45=1215, Resulting Numbers: [1215]
1215,61 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: 61:[23, 29, 70], Operations: ['74-4=70']
Exploring Operation: 70-23=47, Resulting Numbers: [29, 47]
Generated Node #0,2,0: 61:[29, 47] Operation: 70-23=47
Exploring Operation: 70-29=41, Resulting Numbers: [23, 41]
Generated Node #0,2,1: 61:[23, 41] Operation: 70-29=41
Exploring Operation: 23+29=52, Resulting Numbers: [70, 52]
Generated Node #0,2,2: 61:[70, 52] Operation: 23+29=52
Moving to Node #0,0,2
Current State: 61:[74, 63], Operations: ['4*23=92', '92-29=63']
Exploring Operation: 74+63=137, Resulting Numbers: [137]
137,61 unequal: No Solution
Exploring Operation: 74-63=11, Resulting Numbers: [11]
11,61 unequal: No Solution
Exploring Operation: 74*63=4662, Resulting Numbers: [4662]
4662,61 unequal: No Solution
Moving to Node #0,2,2
Current State: 61:[70, 52], Operations: ['74-4=70', '23+29=52']
Exploring Operation: 70+52=122, Resulting Numbers: [122]
122,61 unequal: No Solution
Exploring Operation: 70-52=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 70*52=3640, Resulting Numbers: [3640]
3640,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[29, 47], Operations: ['74-4=70', '70-23=47']
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 29*47=1363, Resulting Numbers: [1363]
1363,61 unequal: No Solution
Exploring Operation: 29+47=76, Resulting Numbers: [76]
76,61 unequal: No Solution
Moving to Node #0,0,0
Current State: 61:[92, 45], Operations: ['4*23=92', '74-29=45']
Exploring Operation: 92-45=47, Resulting Numbers: [47]
47,61 unequal: No Solution
Exploring Operation: 92+45=137, Resulting Numbers: [137]
137,61 unequal: No Solution
Exploring Operation: 92*45=4140, Resulting Numbers: [4140]
4140,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[23, 41], Operations: ['74-4=70', '70-29=41']
Exploring Operation: 41-23=18, Resulting Numbers: [18]
18,61 unequal: No Solution
Exploring Operation: 23*41=943, Resulting Numbers: [943]
943,61 unequal: No Solution
Exploring Operation: 23+41=64, Resulting Numbers: [64]
64,61 unequal: No Solution
Moving to Node #0,0,1
Current State: 61:[92, 103], Operations: ['4*23=92', '74+29=103']
Exploring Operation: 92+103=195, Resulting Numbers: [195]
195,61 unequal: No Solution
Exploring Operation: 92*103=9476, Resulting Numbers: [9476]
9476,61 unequal: No Solution
Exploring Operation: 103-92=11, Resulting Numbers: [11]
11,61 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
81,
14,
89,
55
] | 61 | [
"81+14=95",
"89-55=34",
"95-34=61"
] | Current State: 61:[81, 14, 89, 55], Operations: []
Exploring Operation: 81+14=95, Resulting Numbers: [89, 55, 95]
Generated Node #2: [89, 55, 95] from Operation: 81+14=95
Current State: 61:[89, 55, 95], Operations: ['81+14=95']
Exploring Operation: 89-55=34, Resulting Numbers: [95, 34]
Generated Node #3: [95, 34] from Operation: 89-55=34
Current State: 61:[95, 34], Operations: ['81+14=95', '89-55=34']
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[81, 14, 89, 55], Operations: []
Exploring Operation: 14+89=103, Resulting Numbers: [81, 55, 103]
Generated Node #0,0: 61:[81, 55, 103] Operation: 14+89=103
Exploring Operation: 14+55=69, Resulting Numbers: [81, 89, 69]
Generated Node #0,1: 61:[81, 89, 69] Operation: 14+55=69
Exploring Operation: 89-14=75, Resulting Numbers: [81, 55, 75]
Generated Node #0,2: 61:[81, 55, 75] Operation: 89-14=75
Exploring Operation: 81+14=95, Resulting Numbers: [89, 55, 95]
Generated Node #0,3: 61:[89, 55, 95] Operation: 81+14=95
Exploring Operation: 81-14=67, Resulting Numbers: [89, 55, 67]
Generated Node #0,4: 61:[89, 55, 67] Operation: 81-14=67
Moving to Node #0,2
Current State: 61:[81, 55, 75], Operations: ['89-14=75']
Exploring Operation: 81-55=26, Resulting Numbers: [75, 26]
Generated Node #0,2,0: 61:[75, 26] Operation: 81-55=26
Exploring Operation: 81+55=136, Resulting Numbers: [75, 136]
Generated Node #0,2,1: 61:[75, 136] Operation: 81+55=136
Exploring Operation: 81-75=6, Resulting Numbers: [55, 6]
Generated Node #0,2,2: 61:[55, 6] Operation: 81-75=6
Exploring Operation: 75-55=20, Resulting Numbers: [81, 20]
Generated Node #0,2,3: 61:[81, 20] Operation: 75-55=20
Exploring Operation: 55+75=130, Resulting Numbers: [81, 130]
Generated Node #0,2,4: 61:[81, 130] Operation: 55+75=130
Moving to Node #0,4
Current State: 61:[89, 55, 67], Operations: ['81-14=67']
Exploring Operation: 67-55=12, Resulting Numbers: [89, 12]
Generated Node #0,4,0: 61:[89, 12] Operation: 67-55=12
Exploring Operation: 89-55=34, Resulting Numbers: [67, 34]
Generated Node #0,4,1: 61:[67, 34] Operation: 89-55=34
Exploring Operation: 55+67=122, Resulting Numbers: [89, 122]
Generated Node #0,4,2: 61:[89, 122] Operation: 55+67=122
Exploring Operation: 89+55=144, Resulting Numbers: [67, 144]
Generated Node #0,4,3: 61:[67, 144] Operation: 89+55=144
Exploring Operation: 89-67=22, Resulting Numbers: [55, 22]
Generated Node #0,4,4: 61:[55, 22] Operation: 89-67=22
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 61:[67, 34], Operations: ['81-14=67', '89-55=34']
Exploring Operation: 67+34=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 67*34=2278, Resulting Numbers: [2278]
2278,61 unequal: No Solution
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,61 unequal: No Solution
No 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: 61:[55, 22], Operations: ['81-14=67', '89-67=22']
Exploring Operation: 55*22=1210, Resulting Numbers: [1210]
1210,61 unequal: No Solution
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,61 unequal: No Solution
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,61 unequal: No Solution
No 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: 61:[89, 12], Operations: ['81-14=67', '67-55=12']
Exploring Operation: 89+12=101, Resulting Numbers: [101]
101,61 unequal: No Solution
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,61 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,61 unequal: No Solution
No 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: 61:[89, 122], Operations: ['81-14=67', '55+67=122']
Exploring Operation: 89+122=211, Resulting Numbers: [211]
211,61 unequal: No Solution
Exploring Operation: 122-89=33, Resulting Numbers: [33]
33,61 unequal: No Solution
Exploring Operation: 89*122=10858, Resulting Numbers: [10858]
10858,61 unequal: No Solution
No 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: 61:[67, 144], Operations: ['81-14=67', '89+55=144']
Exploring Operation: 67+144=211, Resulting Numbers: [211]
211,61 unequal: No Solution
Exploring Operation: 144-67=77, Resulting Numbers: [77]
77,61 unequal: No Solution
Exploring Operation: 67*144=9648, Resulting Numbers: [9648]
9648,61 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: 61:[81, 89, 69], Operations: ['14+55=69']
Exploring Operation: 81+89=170, Resulting Numbers: [69, 170]
Generated Node #0,1,0: 61:[69, 170] Operation: 81+89=170
Exploring Operation: 81+69=150, Resulting Numbers: [89, 150]
Generated Node #0,1,1: 61:[89, 150] Operation: 81+69=150
Exploring Operation: 81-69=12, Resulting Numbers: [89, 12]
Generated Node #0,1,2: 61:[89, 12] Operation: 81-69=12
Exploring Operation: 89-81=8, Resulting Numbers: [69, 8]
Generated Node #0,1,3: 61:[69, 8] Operation: 89-81=8
Exploring Operation: 89-69=20, Resulting Numbers: [81, 20]
Generated Node #0,1,4: 61:[81, 20] Operation: 89-69=20
Moving to Node #0,0
Current State: 61:[81, 55, 103], Operations: ['14+89=103']
Exploring Operation: 81-55=26, Resulting Numbers: [103, 26]
Generated Node #0,0,0: 61:[103, 26] Operation: 81-55=26
Exploring Operation: 81+55=136, Resulting Numbers: [103, 136]
Generated Node #0,0,1: 61:[103, 136] Operation: 81+55=136
Exploring Operation: 103-81=22, Resulting Numbers: [55, 22]
Generated Node #0,0,2: 61:[55, 22] Operation: 103-81=22
Exploring Operation: 103-55=48, Resulting Numbers: [81, 48]
Generated Node #0,0,3: 61:[81, 48] Operation: 103-55=48
Exploring Operation: 55+103=158, Resulting Numbers: [81, 158]
Generated Node #0,0,4: 61:[81, 158] Operation: 55+103=158
Moving to Node #0,3
Current State: 61:[89, 55, 95], Operations: ['81+14=95']
Exploring Operation: 95-89=6, Resulting Numbers: [55, 6]
Generated Node #0,3,0: 61:[55, 6] Operation: 95-89=6
Exploring Operation: 55+95=150, Resulting Numbers: [89, 150]
Generated Node #0,3,1: 61:[89, 150] Operation: 55+95=150
Exploring Operation: 89-55=34, Resulting Numbers: [95, 34]
Generated Node #0,3,2: 61:[95, 34] Operation: 89-55=34
Exploring Operation: 95-55=40, Resulting Numbers: [89, 40]
Generated Node #0,3,3: 61:[89, 40] Operation: 95-55=40
Exploring Operation: 89+55=144, Resulting Numbers: [95, 144]
Generated Node #0,3,4: 61:[95, 144] Operation: 89+55=144
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 61:[89, 40], Operations: ['81+14=95', '95-55=40']
Exploring Operation: 89+40=129, Resulting Numbers: [129]
129,61 unequal: No Solution
Exploring Operation: 89-40=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 89*40=3560, Resulting Numbers: [3560]
3560,61 unequal: No Solution
No 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: 61:[55, 6], Operations: ['81+14=95', '95-89=6']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,61 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,61 unequal: No Solution
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[81, 14, 89, 55], Operations: []
Exploring Operation: 81+14=95, Resulting Numbers: [89, 55, 95]
Generated Node #0,3: 61:[89, 55, 95] Operation: 81+14=95
Moving to Node #0,3
Current State: 61:[89, 55, 95], Operations: ['81+14=95']
Exploring Operation: 95-89=6, Resulting Numbers: [55, 6]
Generated Node #0,3,0: 61:[55, 6] Operation: 95-89=6
Moving to Node #0,3,0
Current State: 61:[55, 6], Operations: ['81+14=95', '95-89=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Exit Sub Search at level 1
| 0.952257 | hs_5 | mult_heuristic |
[
46,
2,
61,
14
] | 59 | [
"46+14=60",
"2*60=120",
"120-61=59"
] | Current State: 59:[46, 2, 61, 14], Operations: []
Exploring Operation: 46+14=60, Resulting Numbers: [2, 61, 60]
Generated Node #2: [2, 61, 60] from Operation: 46+14=60
Current State: 59:[2, 61, 60], Operations: ['46+14=60']
Exploring Operation: 2*60=120, Resulting Numbers: [61, 120]
Generated Node #3: [61, 120] from Operation: 2*60=120
Current State: 59:[61, 120], Operations: ['46+14=60', '2*60=120']
Exploring Operation: 120-61=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[46, 2, 61, 14], Operations: []
Exploring Operation: 46+2=48, Resulting Numbers: [61, 14, 48]
Generated Node #0,0: 59:[61, 14, 48] Operation: 46+2=48
Exploring Operation: 2*14=28, Resulting Numbers: [46, 61, 28]
Generated Node #0,1: 59:[46, 61, 28] Operation: 2*14=28
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[46, 61, 28], Operations: ['2*14=28']
Exploring Operation: 46+28=74, Resulting Numbers: [61, 74]
Generated Node #0,1,0: 59:[61, 74] Operation: 46+28=74
Exploring Operation: 61-28=33, Resulting Numbers: [46, 33]
Generated Node #0,1,1: 59:[46, 33] Operation: 61-28=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[61, 74], Operations: ['2*14=28', '46+28=74']
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,59 unequal: No Solution
Exploring Operation: 61+74=135, Resulting Numbers: [135]
135,59 unequal: No Solution
No 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: 59:[46, 33], Operations: ['2*14=28', '61-28=33']
Exploring Operation: 46+33=79, Resulting Numbers: [79]
79,59 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,59 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: 59:[61, 14, 48], Operations: ['46+2=48']
Exploring Operation: 61-14=47, Resulting Numbers: [48, 47]
Generated Node #0,0,0: 59:[48, 47] Operation: 61-14=47
Exploring Operation: 14+48=62, Resulting Numbers: [61, 62]
Generated Node #0,0,1: 59:[61, 62] Operation: 14+48=62
Moving to Node #0,0,1
Current State: 59:[61, 62], Operations: ['46+2=48', '14+48=62']
Exploring Operation: 61+62=123, Resulting Numbers: [123]
123,59 unequal: No Solution
Exploring Operation: 62-61=1, Resulting Numbers: [1]
1,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[48, 47], Operations: ['46+2=48', '61-14=47']
Exploring Operation: 48+47=95, Resulting Numbers: [95]
95,59 unequal: No Solution
Exploring Operation: 48-47=1, Resulting Numbers: [1]
1,59 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 |
[
68,
95,
46,
76
] | 95 | [
"95-68=27",
"46+76=122",
"122-27=95"
] | Current State: 95:[68, 95, 46, 76], Operations: []
Exploring Operation: 95-68=27, Resulting Numbers: [46, 76, 27]
Generated Node #2: [46, 76, 27] from Operation: 95-68=27
Current State: 95:[46, 76, 27], Operations: ['95-68=27']
Exploring Operation: 46+76=122, Resulting Numbers: [27, 122]
Generated Node #3: [27, 122] from Operation: 46+76=122
Current State: 95:[27, 122], Operations: ['95-68=27', '46+76=122']
Exploring Operation: 122-27=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[68, 95, 46, 76], Operations: []
Exploring Operation: 76-68=8, Resulting Numbers: [95, 46, 8]
Generated Node #0,0: 95:[95, 46, 8] Operation: 76-68=8
Exploring Operation: 68-46=22, Resulting Numbers: [95, 76, 22]
Generated Node #0,1: 95:[95, 76, 22] Operation: 68-46=22
Exploring Operation: 76-46=30, Resulting Numbers: [68, 95, 30]
Generated Node #0,2: 95:[68, 95, 30] Operation: 76-46=30
Exploring Operation: 68+46=114, Resulting Numbers: [95, 76, 114]
Generated Node #0,3: 95:[95, 76, 114] Operation: 68+46=114
Moving to Node #0,1
Current State: 95:[95, 76, 22], Operations: ['68-46=22']
Exploring Operation: 76+22=98, Resulting Numbers: [95, 98]
Generated Node #0,1,0: 95:[95, 98] Operation: 76+22=98
Exploring Operation: 95-76=19, Resulting Numbers: [22, 19]
Generated Node #0,1,1: 95:[22, 19] Operation: 95-76=19
Exploring Operation: 76-22=54, Resulting Numbers: [95, 54]
Generated Node #0,1,2: 95:[95, 54] Operation: 76-22=54
Exploring Operation: 95+22=117, Resulting Numbers: [76, 117]
Generated Node #0,1,3: 95:[76, 117] Operation: 95+22=117
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 95:[95, 98], Operations: ['68-46=22', '76+22=98']
Exploring Operation: 95*98=9310, Resulting Numbers: [9310]
9310,95 unequal: No Solution
Exploring Operation: 98-95=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 95+98=193, Resulting Numbers: [193]
193,95 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 #0,1,1
Current State: 95:[22, 19], Operations: ['68-46=22', '95-76=19']
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,95 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,95 unequal: No Solution
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,95 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 #0,1,2
Current State: 95:[95, 54], Operations: ['68-46=22', '76-22=54']
Exploring Operation: 95-54=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 95*54=5130, Resulting Numbers: [5130]
5130,95 unequal: No Solution
Exploring Operation: 95+54=149, Resulting Numbers: [149]
149,95 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 #0,1,3
Current State: 95:[76, 117], Operations: ['68-46=22', '95+22=117']
Exploring Operation: 117-76=41, Resulting Numbers: [41]
41,95 unequal: No Solution
Exploring Operation: 76+117=193, Resulting Numbers: [193]
193,95 unequal: No Solution
Exploring Operation: 76*117=8892, Resulting Numbers: [8892]
8892,95 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: 95:[95, 46, 8], Operations: ['76-68=8']
Exploring Operation: 46-8=38, Resulting Numbers: [95, 38]
Generated Node #0,0,0: 95:[95, 38] Operation: 46-8=38
Exploring Operation: 95-46=49, Resulting Numbers: [8, 49]
Generated Node #0,0,1: 95:[8, 49] Operation: 95-46=49
Exploring Operation: 95+8=103, Resulting Numbers: [46, 103]
Generated Node #0,0,2: 95:[46, 103] Operation: 95+8=103
Exploring Operation: 95-8=87, Resulting Numbers: [46, 87]
Generated Node #0,0,3: 95:[46, 87] Operation: 95-8=87
Moving to Node #0,3
Current State: 95:[95, 76, 114], Operations: ['68+46=114']
Exploring Operation: 114-76=38, Resulting Numbers: [95, 38]
Generated Node #0,3,0: 95:[95, 38] Operation: 114-76=38
Exploring Operation: 114-95=19, Resulting Numbers: [76, 19]
Generated Node #0,3,1: 95:[76, 19] Operation: 114-95=19
Exploring Operation: 95-76=19, Resulting Numbers: [114, 19]
Generated Node #0,3,2: 95:[114, 19] Operation: 95-76=19
Exploring Operation: 95+76=171, Resulting Numbers: [114, 171]
Generated Node #0,3,3: 95:[114, 171] Operation: 95+76=171
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 95:[95, 38], Operations: ['68+46=114', '114-76=38']
Exploring Operation: 95*38=3610, Resulting Numbers: [3610]
3610,95 unequal: No Solution
Exploring Operation: 95+38=133, Resulting Numbers: [133]
133,95 unequal: No Solution
Exploring Operation: 95-38=57, Resulting Numbers: [57]
57,95 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 #0,3,1
Current State: 95:[76, 19], Operations: ['68+46=114', '114-95=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,95 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 76*19=1444, Resulting Numbers: [1444]
1444,95 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[68, 95, 46, 76], Operations: []
Exploring Operation: 68+46=114, Resulting Numbers: [95, 76, 114]
Generated Node #0,3: 95:[95, 76, 114] Operation: 68+46=114
Moving to Node #0,3
Current State: 95:[95, 76, 114], Operations: ['68+46=114']
Exploring Operation: 114-95=19, Resulting Numbers: [76, 19]
Generated Node #0,3,1: 95:[76, 19] Operation: 114-95=19
Moving to Node #0,3,1
Current State: 95:[76, 19], Operations: ['68+46=114', '114-95=19']
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
84,
96,
40,
88
] | 86 | [
"88-84=4",
"40/4=10",
"96-10=86"
] | Current State: 86:[84, 96, 40, 88], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [96, 40, 4]
Generated Node #2: [96, 40, 4] from Operation: 88-84=4
Current State: 86:[96, 40, 4], Operations: ['88-84=4']
Exploring Operation: 40/4=10, Resulting Numbers: [96, 10]
Generated Node #3: [96, 10] from Operation: 40/4=10
Current State: 86:[96, 10], Operations: ['88-84=4', '40/4=10']
Exploring Operation: 96-10=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[84, 96, 40, 88], Operations: []
Exploring Operation: 96-88=8, Resulting Numbers: [84, 40, 8]
Generated Node #0,0: 86:[84, 40, 8] Operation: 96-88=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[84, 40, 8], Operations: ['96-88=8']
Exploring Operation: 40/8=5, Resulting Numbers: [84, 5]
Generated Node #0,0,0: 86:[84, 5] Operation: 40/8=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[84, 5], Operations: ['96-88=8', '40/8=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,86 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
No solution found.
| 0 | hs_1 | mult_heuristic |
[
33,
67,
79,
7
] | 28 | [
"33+67=100",
"79-7=72",
"100-72=28"
] | Current State: 28:[33, 67, 79, 7], Operations: []
Exploring Operation: 33+67=100, Resulting Numbers: [79, 7, 100]
Generated Node #2: [79, 7, 100] from Operation: 33+67=100
Current State: 28:[79, 7, 100], Operations: ['33+67=100']
Exploring Operation: 79-7=72, Resulting Numbers: [100, 72]
Generated Node #3: [100, 72] from Operation: 79-7=72
Current State: 28:[100, 72], Operations: ['33+67=100', '79-7=72']
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[33, 67, 79, 7], Operations: []
Exploring Operation: 67-33=34, Resulting Numbers: [79, 7, 34]
Generated Node #0,0: 28:[79, 7, 34] Operation: 67-33=34
Exploring Operation: 79-33=46, Resulting Numbers: [67, 7, 46]
Generated Node #0,1: 28:[67, 7, 46] Operation: 79-33=46
Exploring Operation: 79-7=72, Resulting Numbers: [33, 67, 72]
Generated Node #0,2: 28:[33, 67, 72] Operation: 79-7=72
Exploring Operation: 79-67=12, Resulting Numbers: [33, 7, 12]
Generated Node #0,3: 28:[33, 7, 12] Operation: 79-67=12
Exploring Operation: 67-7=60, Resulting Numbers: [33, 79, 60]
Generated Node #0,4: 28:[33, 79, 60] Operation: 67-7=60
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[33, 7, 12], Operations: ['79-67=12']
Exploring Operation: 33-12=21, Resulting Numbers: [7, 21]
Generated Node #0,3,0: 28:[7, 21] Operation: 33-12=21
Exploring Operation: 33-7=26, Resulting Numbers: [12, 26]
Generated Node #0,3,1: 28:[12, 26] Operation: 33-7=26
Exploring Operation: 12-7=5, Resulting Numbers: [33, 5]
Generated Node #0,3,2: 28:[33, 5] Operation: 12-7=5
Exploring Operation: 7+12=19, Resulting Numbers: [33, 19]
Generated Node #0,3,3: 28:[33, 19] Operation: 7+12=19
Exploring Operation: 33+7=40, Resulting Numbers: [12, 40]
Generated Node #0,3,4: 28:[12, 40] Operation: 33+7=40
Moving to Node #0,3,1
Current State: 28:[12, 26], Operations: ['79-67=12', '33-7=26']
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,28 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,28 unequal: No Solution
Exploring Operation: 12*26=312, Resulting Numbers: [312]
312,28 unequal: No Solution
Moving to Node #0,3,2
Current State: 28:[33, 5], Operations: ['79-67=12', '12-7=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[33, 67, 79, 7], Operations: []
Exploring Operation: 79-67=12, Resulting Numbers: [33, 7, 12]
Generated Node #0,3: 28:[33, 7, 12] Operation: 79-67=12
Moving to Node #0,3
Current State: 28:[33, 7, 12], Operations: ['79-67=12']
Exploring Operation: 12-7=5, Resulting Numbers: [33, 5]
Generated Node #0,3,2: 28:[33, 5] Operation: 12-7=5
Moving to Node #0,3,2
Current State: 28:[33, 5], Operations: ['79-67=12', '12-7=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
54,
72,
83,
63
] | 81 | [
"54+72=126",
"126/63=2",
"83-2=81"
] | Current State: 81:[54, 72, 83, 63], Operations: []
Exploring Operation: 54+72=126, Resulting Numbers: [83, 63, 126]
Generated Node #2: [83, 63, 126] from Operation: 54+72=126
Current State: 81:[83, 63, 126], Operations: ['54+72=126']
Exploring Operation: 126/63=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 126/63=2
Current State: 81:[83, 2], Operations: ['54+72=126', '126/63=2']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[54, 72, 83, 63], Operations: []
Exploring Operation: 83-63=20, Resulting Numbers: [54, 72, 20]
Generated Node #0,0: 81:[54, 72, 20] Operation: 83-63=20
Exploring Operation: 72-54=18, Resulting Numbers: [83, 63, 18]
Generated Node #0,1: 81:[83, 63, 18] Operation: 72-54=18
Exploring Operation: 72-63=9, Resulting Numbers: [54, 83, 9]
Generated Node #0,2: 81:[54, 83, 9] Operation: 72-63=9
Exploring Operation: 63-54=9, Resulting Numbers: [72, 83, 9]
Generated Node #0,3: 81:[72, 83, 9] Operation: 63-54=9
Exploring Operation: 83-54=29, Resulting Numbers: [72, 63, 29]
Generated Node #0,4: 81:[72, 63, 29] Operation: 83-54=29
Moving to Node #0,3
Current State: 81:[72, 83, 9], Operations: ['63-54=9']
Exploring Operation: 72-9=63, Resulting Numbers: [83, 63]
Generated Node #0,3,0: 81:[83, 63] Operation: 72-9=63
Exploring Operation: 83-72=11, Resulting Numbers: [9, 11]
Generated Node #0,3,1: 81:[9, 11] Operation: 83-72=11
Exploring Operation: 83-9=74, Resulting Numbers: [72, 74]
Generated Node #0,3,2: 81:[72, 74] Operation: 83-9=74
Exploring Operation: 72/9=8, Resulting Numbers: [83, 8]
Generated Node #0,3,3: 81:[83, 8] Operation: 72/9=8
Exploring Operation: 72+9=81, Resulting Numbers: [83, 81]
Generated Node #0,3,4: 81:[83, 81] Operation: 72+9=81
Moving to Node #0,2
Current State: 81:[54, 83, 9], Operations: ['72-63=9']
Exploring Operation: 83-9=74, Resulting Numbers: [54, 74]
Generated Node #0,2,0: 81:[54, 74] Operation: 83-9=74
Exploring Operation: 54/9=6, Resulting Numbers: [83, 6]
Generated Node #0,2,1: 81:[83, 6] Operation: 54/9=6
Exploring Operation: 83-54=29, Resulting Numbers: [9, 29]
Generated Node #0,2,2: 81:[9, 29] Operation: 83-54=29
Exploring Operation: 54+9=63, Resulting Numbers: [83, 63]
Generated Node #0,2,3: 81:[83, 63] Operation: 54+9=63
Exploring Operation: 54-9=45, Resulting Numbers: [83, 45]
Generated Node #0,2,4: 81:[83, 45] Operation: 54-9=45
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 81:[9, 29], Operations: ['72-63=9', '83-54=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,81 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 81:[83, 6], Operations: ['72-63=9', '54/9=6']
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,81 unequal: No Solution
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,81 unequal: No Solution
Exploring Operation: 83*6=498, Resulting Numbers: [498]
498,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 81:[83, 63], Operations: ['72-63=9', '54+9=63']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 83*63=5229, Resulting Numbers: [5229]
5229,81 unequal: No Solution
Exploring Operation: 83+63=146, Resulting Numbers: [146]
146,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 81:[83, 45], Operations: ['72-63=9', '54-9=45']
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 83*45=3735, Resulting Numbers: [3735]
3735,81 unequal: No Solution
Exploring Operation: 83+45=128, Resulting Numbers: [128]
128,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[54, 74], Operations: ['72-63=9', '83-9=74']
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,81 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 54*74=3996, Resulting Numbers: [3996]
3996,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 81:[83, 63, 18], Operations: ['72-54=18']
Exploring Operation: 83+18=101, Resulting Numbers: [63, 101]
Generated Node #0,1,0: 81:[63, 101] Operation: 83+18=101
Exploring Operation: 83-63=20, Resulting Numbers: [18, 20]
Generated Node #0,1,1: 81:[18, 20] Operation: 83-63=20
Exploring Operation: 83-18=65, Resulting Numbers: [63, 65]
Generated Node #0,1,2: 81:[63, 65] Operation: 83-18=65
Exploring Operation: 63-18=45, Resulting Numbers: [83, 45]
Generated Node #0,1,3: 81:[83, 45] Operation: 63-18=45
Exploring Operation: 63+18=81, Resulting Numbers: [83, 81]
Generated Node #0,1,4: 81:[83, 81] Operation: 63+18=81
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 81:[83, 81], Operations: ['72-54=18', '63+18=81']
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,81 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:[18, 20], Operations: ['72-54=18', '83-63=20']
Exploring Operation: 18*20=360, Resulting Numbers: [360]
360,81 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 18+20=38, Resulting Numbers: [38]
38,81 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:[83, 45], Operations: ['72-54=18', '63-18=45']
Exploring Operation: 83-45=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 83+45=128, Resulting Numbers: [128]
128,81 unequal: No Solution
Exploring Operation: 83*45=3735, Resulting Numbers: [3735]
3735,81 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 #0,1,2
Current State: 81:[63, 65], Operations: ['72-54=18', '83-18=65']
Exploring Operation: 65-63=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 63*65=4095, Resulting Numbers: [4095]
4095,81 unequal: No Solution
Exploring Operation: 63+65=128, Resulting Numbers: [128]
128,81 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:[63, 101], Operations: ['72-54=18', '83+18=101']
Exploring Operation: 101-63=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 63+101=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Exploring Operation: 63*101=6363, Resulting Numbers: [6363]
6363,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 81:[72, 63, 29], Operations: ['83-54=29']
Exploring Operation: 63-29=34, Resulting Numbers: [72, 34]
Generated Node #0,4,0: 81:[72, 34] Operation: 63-29=34
Exploring Operation: 72+29=101, Resulting Numbers: [63, 101]
Generated Node #0,4,1: 81:[63, 101] Operation: 72+29=101
Exploring Operation: 63+29=92, Resulting Numbers: [72, 92]
Generated Node #0,4,2: 81:[72, 92] Operation: 63+29=92
Exploring Operation: 72-29=43, Resulting Numbers: [63, 43]
Generated Node #0,4,3: 81:[63, 43] Operation: 72-29=43
Exploring Operation: 72-63=9, Resulting Numbers: [29, 9]
Generated Node #0,4,4: 81:[29, 9] Operation: 72-63=9
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 81:[29, 9], Operations: ['83-54=29', '72-63=9']
Exploring Operation: 29*9=261, Resulting Numbers: [261]
261,81 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,81 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 #0,4,0
Current State: 81:[72, 34], Operations: ['83-54=29', '63-29=34']
Exploring Operation: 72*34=2448, Resulting Numbers: [2448]
2448,81 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,81 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 #0,4,2
Current State: 81:[72, 92], Operations: ['83-54=29', '63+29=92']
Exploring Operation: 72+92=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Exploring Operation: 92-72=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 72*92=6624, Resulting Numbers: [6624]
6624,81 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 #0,4,3
Current State: 81:[63, 43], Operations: ['83-54=29', '72-29=43']
Exploring Operation: 63*43=2709, Resulting Numbers: [2709]
2709,81 unequal: No Solution
Exploring Operation: 63-43=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 63+43=106, Resulting Numbers: [106]
106,81 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 #0,4,1
Current State: 81:[63, 101], Operations: ['83-54=29', '72+29=101']
Exploring Operation: 101-63=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 63+101=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Exploring Operation: 63*101=6363, Resulting Numbers: [6363]
6363,81 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:[54, 72, 20], Operations: ['83-63=20']
Exploring Operation: 72+20=92, Resulting Numbers: [54, 92]
Generated Node #0,0,0: 81:[54, 92] Operation: 72+20=92
Exploring Operation: 54+20=74, Resulting Numbers: [72, 74]
Generated Node #0,0,1: 81:[72, 74] Operation: 54+20=74
Exploring Operation: 72-54=18, Resulting Numbers: [20, 18]
Generated Node #0,0,2: 81:[20, 18] Operation: 72-54=18
Exploring Operation: 54-20=34, Resulting Numbers: [72, 34]
Generated Node #0,0,3: 81:[72, 34] Operation: 54-20=34
Exploring Operation: 54+72=126, Resulting Numbers: [20, 126]
Generated Node #0,0,4: 81:[20, 126] Operation: 54+72=126
Moving to Node #0,3,1
Current State: 81:[9, 11], Operations: ['63-54=9', '83-72=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,81 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Moving to Node #0,3,4
Current State: 81:[83, 81], Operations: ['63-54=9', '72+9=81']
Exploring Operation: 83-81=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 83*81=6723, Resulting Numbers: [6723]
6723,81 unequal: No Solution
Exploring Operation: 83+81=164, Resulting Numbers: [164]
164,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[83, 8], Operations: ['63-54=9', '72/9=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,81 unequal: No Solution
Exploring Operation: 83*8=664, Resulting Numbers: [664]
664,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[20, 18], Operations: ['83-63=20', '72-54=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[72, 74], Operations: ['83-63=20', '54+20=74']
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,81 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,81 unequal: No Solution
Moving to Node #0,3,2
Current State: 81:[72, 74], Operations: ['63-54=9', '83-9=74']
Exploring Operation: 72*74=5328, Resulting Numbers: [5328]
5328,81 unequal: No Solution
Exploring Operation: 74-72=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 72+74=146, Resulting Numbers: [146]
146,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[72, 34], Operations: ['83-63=20', '54-20=34']
Exploring Operation: 72+34=106, Resulting Numbers: [106]
106,81 unequal: No Solution
Exploring Operation: 72*34=2448, Resulting Numbers: [2448]
2448,81 unequal: No Solution
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Moving to Node #0,3,0
Current State: 81:[83, 63], Operations: ['63-54=9', '72-9=63']
Exploring Operation: 83*63=5229, Resulting Numbers: [5229]
5229,81 unequal: No Solution
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 83+63=146, Resulting Numbers: [146]
146,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[54, 92], Operations: ['83-63=20', '72+20=92']
Exploring Operation: 54*92=4968, Resulting Numbers: [4968]
4968,81 unequal: No Solution
Exploring Operation: 54+92=146, Resulting Numbers: [146]
146,81 unequal: No Solution
Exploring Operation: 92-54=38, Resulting Numbers: [38]
38,81 unequal: No Solution
Moving to Node #0,0,4
Current State: 81:[20, 126], Operations: ['83-63=20', '54+72=126']
Exploring Operation: 20*126=2520, Resulting Numbers: [2520]
2520,81 unequal: No Solution
Exploring Operation: 20+126=146, Resulting Numbers: [146]
146,81 unequal: No Solution
Exploring Operation: 126-20=106, Resulting Numbers: [106]
106,81 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
68,
25,
42,
34
] | 17 | [
"68+25=93",
"42+34=76",
"93-76=17"
] | Current State: 17:[68, 25, 42, 34], Operations: []
Exploring Operation: 68+25=93, Resulting Numbers: [42, 34, 93]
Generated Node #2: [42, 34, 93] from Operation: 68+25=93
Current State: 17:[42, 34, 93], Operations: ['68+25=93']
Exploring Operation: 42+34=76, Resulting Numbers: [93, 76]
Generated Node #3: [93, 76] from Operation: 42+34=76
Current State: 17:[93, 76], Operations: ['68+25=93', '42+34=76']
Exploring Operation: 93-76=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[68, 25, 42, 34], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [25, 34, 26]
Generated Node #0,0: 17:[25, 34, 26] Operation: 68-42=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[25, 34, 26], Operations: ['68-42=26']
Exploring Operation: 34-25=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 17:[26, 9] Operation: 34-25=9
Moving to Node #0,0,0
Current State: 17:[26, 9], Operations: ['68-42=26', '34-25=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[68, 25, 42, 34], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [25, 34, 26]
Generated Node #0,0: 17:[25, 34, 26] Operation: 68-42=26
Moving to Node #0,0
Current State: 17:[25, 34, 26], Operations: ['68-42=26']
Exploring Operation: 34-25=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 17:[26, 9] Operation: 34-25=9
Moving to Node #0,0,0
Current State: 17:[26, 9], Operations: ['68-42=26', '34-25=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
30,
39,
48,
22
] | 64 | [
"30+22=52",
"48*52=2496",
"2496/39=64"
] | Current State: 64:[30, 39, 48, 22], Operations: []
Exploring Operation: 30+22=52, Resulting Numbers: [39, 48, 52]
Generated Node #2: [39, 48, 52] from Operation: 30+22=52
Current State: 64:[39, 48, 52], Operations: ['30+22=52']
Exploring Operation: 48*52=2496, Resulting Numbers: [39, 2496]
Generated Node #3: [39, 2496] from Operation: 48*52=2496
Current State: 64:[39, 2496], Operations: ['30+22=52', '48*52=2496']
Exploring Operation: 2496/39=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[30, 39, 48, 22], Operations: []
Exploring Operation: 48-39=9, Resulting Numbers: [30, 22, 9]
Generated Node #0,0: 64:[30, 22, 9] Operation: 48-39=9
Exploring Operation: 48-30=18, Resulting Numbers: [39, 22, 18]
Generated Node #0,1: 64:[39, 22, 18] Operation: 48-30=18
Exploring Operation: 48+22=70, Resulting Numbers: [30, 39, 70]
Generated Node #0,2: 64:[30, 39, 70] Operation: 48+22=70
Exploring Operation: 48-22=26, Resulting Numbers: [30, 39, 26]
Generated Node #0,3: 64:[30, 39, 26] Operation: 48-22=26
Moving to Node #0,0
Current State: 64:[30, 22, 9], Operations: ['48-39=9']
Exploring Operation: 22+9=31, Resulting Numbers: [30, 31]
Generated Node #0,0,0: 64:[30, 31] Operation: 22+9=31
Exploring Operation: 22-9=13, Resulting Numbers: [30, 13]
Generated Node #0,0,1: 64:[30, 13] Operation: 22-9=13
Exploring Operation: 30-9=21, Resulting Numbers: [22, 21]
Generated Node #0,0,2: 64:[22, 21] Operation: 30-9=21
Exploring Operation: 30-22=8, Resulting Numbers: [9, 8]
Generated Node #0,0,3: 64:[9, 8] Operation: 30-22=8
Moving to Node #0,2
Current State: 64:[30, 39, 70], Operations: ['48+22=70']
Exploring Operation: 39-30=9, Resulting Numbers: [70, 9]
Generated Node #0,2,0: 64:[70, 9] Operation: 39-30=9
Exploring Operation: 30+39=69, Resulting Numbers: [70, 69]
Generated Node #0,2,1: 64:[70, 69] Operation: 30+39=69
Exploring Operation: 70-30=40, Resulting Numbers: [39, 40]
Generated Node #0,2,2: 64:[39, 40] Operation: 70-30=40
Exploring Operation: 70-39=31, Resulting Numbers: [30, 31]
Generated Node #0,2,3: 64:[30, 31] Operation: 70-39=31
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[30, 31], Operations: ['48+22=70', '70-39=31']
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,64 unequal: No Solution
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 64:[70, 9], Operations: ['48+22=70', '39-30=9']
Exploring Operation: 70*9=630, Resulting Numbers: [630]
630,64 unequal: No Solution
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 70+9=79, Resulting Numbers: [79]
79,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 64:[70, 69], Operations: ['48+22=70', '30+39=69']
Exploring Operation: 70-69=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 70+69=139, Resulting Numbers: [139]
139,64 unequal: No Solution
Exploring Operation: 70*69=4830, Resulting Numbers: [4830]
4830,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 64:[39, 40], Operations: ['48+22=70', '70-30=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,64 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,64 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: 64:[39, 22, 18], Operations: ['48-30=18']
Exploring Operation: 39-22=17, Resulting Numbers: [18, 17]
Generated Node #0,1,0: 64:[18, 17] Operation: 39-22=17
Exploring Operation: 39+22=61, Resulting Numbers: [18, 61]
Generated Node #0,1,1: 64:[18, 61] Operation: 39+22=61
Exploring Operation: 39-18=21, Resulting Numbers: [22, 21]
Generated Node #0,1,2: 64:[22, 21] Operation: 39-18=21
Exploring Operation: 22-18=4, Resulting Numbers: [39, 4]
Generated Node #0,1,3: 64:[39, 4] Operation: 22-18=4
Moving to Node #0,3
Current State: 64:[30, 39, 26], Operations: ['48-22=26']
Exploring Operation: 39-30=9, Resulting Numbers: [26, 9]
Generated Node #0,3,0: 64:[26, 9] Operation: 39-30=9
Exploring Operation: 39-26=13, Resulting Numbers: [30, 13]
Generated Node #0,3,1: 64:[30, 13] Operation: 39-26=13
Exploring Operation: 30-26=4, Resulting Numbers: [39, 4]
Generated Node #0,3,2: 64:[39, 4] Operation: 30-26=4
Exploring Operation: 39+26=65, Resulting Numbers: [30, 65]
Generated Node #0,3,3: 64:[30, 65] Operation: 39+26=65
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[30, 65], Operations: ['48-22=26', '39+26=65']
Exploring Operation: 65-30=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 30+65=95, Resulting Numbers: [95]
95,64 unequal: No Solution
Exploring Operation: 30*65=1950, Resulting Numbers: [1950]
1950,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[30, 13], Operations: ['48-22=26', '39-26=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,64 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[26, 9], Operations: ['48-22=26', '39-30=9']
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[39, 4], Operations: ['48-22=26', '30-26=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,64 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,64 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: 64:[9, 8], Operations: ['48-39=9', '30-22=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,64 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[30, 31], Operations: ['48-39=9', '22+9=31']
Exploring Operation: 31-30=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 30*31=930, Resulting Numbers: [930]
930,64 unequal: No Solution
Exploring Operation: 30+31=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[18, 17], Operations: ['48-30=18', '39-22=17']
Exploring Operation: 18-17=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Exploring Operation: 18*17=306, Resulting Numbers: [306]
306,64 unequal: No Solution
Exploring Operation: 18+17=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[30, 13], Operations: ['48-39=9', '22-9=13']
Exploring Operation: 30*13=390, Resulting Numbers: [390]
390,64 unequal: No Solution
Exploring Operation: 30+13=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[18, 61], Operations: ['48-30=18', '39+22=61']
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 18*61=1098, Resulting Numbers: [1098]
1098,64 unequal: No Solution
Exploring Operation: 18+61=79, Resulting Numbers: [79]
79,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[39, 4], Operations: ['48-30=18', '22-18=4']
Exploring Operation: 39*4=156, Resulting Numbers: [156]
156,64 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,64 unequal: No Solution
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[22, 21], Operations: ['48-39=9', '30-9=21']
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,64 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[22, 21], Operations: ['48-30=18', '39-18=21']
Exploring Operation: 22*21=462, Resulting Numbers: [462]
462,64 unequal: No Solution
Exploring Operation: 22+21=43, Resulting Numbers: [43]
43,64 unequal: No Solution
Exploring Operation: 22-21=1, Resulting Numbers: [1]
1,64 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
94,
15,
10,
13
] | 37 | [
"15-13=2",
"94/2=47",
"47-10=37"
] | Current State: 37:[94, 15, 10, 13], Operations: []
Exploring Operation: 15-13=2, Resulting Numbers: [94, 10, 2]
Generated Node #2: [94, 10, 2] from Operation: 15-13=2
Current State: 37:[94, 10, 2], Operations: ['15-13=2']
Exploring Operation: 94/2=47, Resulting Numbers: [10, 47]
Generated Node #3: [10, 47] from Operation: 94/2=47
Current State: 37:[10, 47], Operations: ['15-13=2', '94/2=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[94, 15, 10, 13], Operations: []
Exploring Operation: 94-13=81, Resulting Numbers: [15, 10, 81]
Generated Node #0,0: 37:[15, 10, 81] Operation: 94-13=81
Exploring Operation: 94-15=79, Resulting Numbers: [10, 13, 79]
Generated Node #0,1: 37:[10, 13, 79] Operation: 94-15=79
Exploring Operation: 94-10=84, Resulting Numbers: [15, 13, 84]
Generated Node #0,2: 37:[15, 13, 84] Operation: 94-10=84
Exploring Operation: 15+10=25, Resulting Numbers: [94, 13, 25]
Generated Node #0,3: 37:[94, 13, 25] Operation: 15+10=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[15, 10, 81], Operations: ['94-13=81']
Exploring Operation: 81-10=71, Resulting Numbers: [15, 71]
Generated Node #0,0,0: 37:[15, 71] Operation: 81-10=71
Exploring Operation: 81-15=66, Resulting Numbers: [10, 66]
Generated Node #0,0,1: 37:[10, 66] Operation: 81-15=66
Exploring Operation: 15-10=5, Resulting Numbers: [81, 5]
Generated Node #0,0,2: 37:[81, 5] Operation: 15-10=5
Exploring Operation: 15+10=25, Resulting Numbers: [81, 25]
Generated Node #0,0,3: 37:[81, 25] Operation: 15+10=25
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[15, 71], Operations: ['94-13=81', '81-10=71']
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,37 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,37 unequal: No Solution
No 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: 37:[10, 66], Operations: ['94-13=81', '81-15=66']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,37 unequal: No Solution
No 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: 37:[81, 25], Operations: ['94-13=81', '15+10=25']
Exploring Operation: 81*25=2025, Resulting Numbers: [2025]
2025,37 unequal: No Solution
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 81+25=106, Resulting Numbers: [106]
106,37 unequal: No Solution
No 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: 37:[81, 5], Operations: ['94-13=81', '15-10=5']
Exploring Operation: 81*5=405, Resulting Numbers: [405]
405,37 unequal: No Solution
Exploring Operation: 81-5=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 81+5=86, Resulting Numbers: [86]
86,37 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: 37:[10, 13, 79], Operations: ['94-15=79']
Exploring Operation: 10+13=23, Resulting Numbers: [79, 23]
Generated Node #0,1,0: 37:[79, 23] Operation: 10+13=23
Exploring Operation: 79-13=66, Resulting Numbers: [10, 66]
Generated Node #0,1,1: 37:[10, 66] Operation: 79-13=66
Exploring Operation: 79-10=69, Resulting Numbers: [13, 69]
Generated Node #0,1,2: 37:[13, 69] Operation: 79-10=69
Exploring Operation: 13-10=3, Resulting Numbers: [79, 3]
Generated Node #0,1,3: 37:[79, 3] Operation: 13-10=3
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[79, 23], Operations: ['94-15=79', '10+13=23']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 79*23=1817, Resulting Numbers: [1817]
1817,37 unequal: No Solution
Exploring Operation: 79+23=102, Resulting Numbers: [102]
102,37 unequal: No Solution
No 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: 37:[10, 66], Operations: ['94-15=79', '79-13=66']
Exploring Operation: 10+66=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 10*66=660, Resulting Numbers: [660]
660,37 unequal: No Solution
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,37 unequal: No Solution
No 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: 37:[13, 69], Operations: ['94-15=79', '79-10=69']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,37 unequal: No Solution
No 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: 37:[79, 3], Operations: ['94-15=79', '13-10=3']
Exploring Operation: 79+3=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 79-3=76, Resulting Numbers: [76]
76,37 unequal: No Solution
Exploring Operation: 79*3=237, Resulting Numbers: [237]
237,37 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: 37:[15, 13, 84], Operations: ['94-10=84']
Exploring Operation: 15-13=2, Resulting Numbers: [84, 2]
Generated Node #0,2,0: 37:[84, 2] Operation: 15-13=2
Exploring Operation: 84-13=71, Resulting Numbers: [15, 71]
Generated Node #0,2,1: 37:[15, 71] Operation: 84-13=71
Exploring Operation: 84-15=69, Resulting Numbers: [13, 69]
Generated Node #0,2,2: 37:[13, 69] Operation: 84-15=69
Exploring Operation: 15+13=28, Resulting Numbers: [84, 28]
Generated Node #0,2,3: 37:[84, 28] Operation: 15+13=28
Moving to Node #0,2,1
Current State: 37:[15, 71], Operations: ['94-10=84', '84-13=71']
Exploring Operation: 15*71=1065, Resulting Numbers: [1065]
1065,37 unequal: No Solution
Exploring Operation: 71-15=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 15+71=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[84, 28], Operations: ['94-10=84', '15+13=28']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 84*28=2352, Resulting Numbers: [2352]
2352,37 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 84+28=112, Resulting Numbers: [112]
112,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[13, 69], Operations: ['94-10=84', '84-15=69']
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,37 unequal: No Solution
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[84, 2], Operations: ['94-10=84', '15-13=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,37 unequal: No Solution
Exploring Operation: 84*2=168, Resulting Numbers: [168]
168,37 unequal: No Solution
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,37 unequal: No Solution
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,37 unequal: No Solution
No 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: 37:[94, 13, 25], Operations: ['15+10=25']
Exploring Operation: 13+25=38, Resulting Numbers: [94, 38]
Generated Node #0,3,0: 37:[94, 38] Operation: 13+25=38
Exploring Operation: 94+13=107, Resulting Numbers: [25, 107]
Generated Node #0,3,1: 37:[25, 107] Operation: 94+13=107
Exploring Operation: 94-13=81, Resulting Numbers: [25, 81]
Generated Node #0,3,2: 37:[25, 81] Operation: 94-13=81
Exploring Operation: 94-25=69, Resulting Numbers: [13, 69]
Generated Node #0,3,3: 37:[13, 69] Operation: 94-25=69
Moving to Node #0,3,2
Current State: 37:[25, 81], Operations: ['15+10=25', '94-13=81']
Exploring Operation: 81-25=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 25*81=2025, Resulting Numbers: [2025]
2025,37 unequal: No Solution
Exploring Operation: 25+81=106, Resulting Numbers: [106]
106,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[13, 69], Operations: ['15+10=25', '94-25=69']
Exploring Operation: 13+69=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 69-13=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 13*69=897, Resulting Numbers: [897]
897,37 unequal: No Solution
Moving to Node #0,3,0
Current State: 37:[94, 38], Operations: ['15+10=25', '13+25=38']
Exploring Operation: 94+38=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 94*38=3572, Resulting Numbers: [3572]
3572,37 unequal: No Solution
Exploring Operation: 94-38=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Moving to Node #0,3,1
Current State: 37:[25, 107], Operations: ['15+10=25', '94+13=107']
Exploring Operation: 107-25=82, Resulting Numbers: [82]
82,37 unequal: No Solution
Exploring Operation: 25+107=132, Resulting Numbers: [132]
132,37 unequal: No Solution
Exploring Operation: 25*107=2675, Resulting Numbers: [2675]
2675,37 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 |
[
8,
47,
2,
9
] | 97 | [
"8*2=16",
"9*16=144",
"144-47=97"
] | Current State: 97:[8, 47, 2, 9], Operations: []
Exploring Operation: 8*2=16, Resulting Numbers: [47, 9, 16]
Generated Node #2: [47, 9, 16] from Operation: 8*2=16
Current State: 97:[47, 9, 16], Operations: ['8*2=16']
Exploring Operation: 9*16=144, Resulting Numbers: [47, 144]
Generated Node #3: [47, 144] from Operation: 9*16=144
Current State: 97:[47, 144], Operations: ['8*2=16', '9*16=144']
Exploring Operation: 144-47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[8, 47, 2, 9], Operations: []
Exploring Operation: 8*9=72, Resulting Numbers: [47, 2, 72]
Generated Node #0,0: 97:[47, 2, 72] Operation: 8*9=72
Exploring Operation: 2*9=18, Resulting Numbers: [8, 47, 18]
Generated Node #0,1: 97:[8, 47, 18] Operation: 2*9=18
Exploring Operation: 8+47=55, Resulting Numbers: [2, 9, 55]
Generated Node #0,2: 97:[2, 9, 55] Operation: 8+47=55
Exploring Operation: 47*2=94, Resulting Numbers: [8, 9, 94]
Generated Node #0,3: 97:[8, 9, 94] Operation: 47*2=94
Exploring Operation: 8*2=16, Resulting Numbers: [47, 9, 16]
Generated Node #0,4: 97:[47, 9, 16] Operation: 8*2=16
Moving to Node #0,0
Current State: 97:[47, 2, 72], Operations: ['8*9=72']
Exploring Operation: 2+72=74, Resulting Numbers: [47, 74]
Generated Node #0,0,0: 97:[47, 74] Operation: 2+72=74
Exploring Operation: 47*2=94, Resulting Numbers: [72, 94]
Generated Node #0,0,1: 97:[72, 94] Operation: 47*2=94
Exploring Operation: 47-2=45, Resulting Numbers: [72, 45]
Generated Node #0,0,2: 97:[72, 45] Operation: 47-2=45
Exploring Operation: 72-2=70, Resulting Numbers: [47, 70]
Generated Node #0,0,3: 97:[47, 70] Operation: 72-2=70
Exploring Operation: 47+2=49, Resulting Numbers: [72, 49]
Generated Node #0,0,4: 97:[72, 49] Operation: 47+2=49
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[72, 94], Operations: ['8*9=72', '47*2=94']
Exploring Operation: 72+94=166, Resulting Numbers: [166]
166,97 unequal: No Solution
Exploring Operation: 72*94=6768, Resulting Numbers: [6768]
6768,97 unequal: No Solution
Exploring Operation: 94-72=22, Resulting Numbers: [22]
22,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[47, 74], Operations: ['8*9=72', '2+72=74']
Exploring Operation: 47*74=3478, Resulting Numbers: [3478]
3478,97 unequal: No Solution
Exploring Operation: 47+74=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 74-47=27, Resulting Numbers: [27]
27,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 97:[72, 49], Operations: ['8*9=72', '47+2=49']
Exploring Operation: 72*49=3528, Resulting Numbers: [3528]
3528,97 unequal: No Solution
Exploring Operation: 72+49=121, Resulting Numbers: [121]
121,97 unequal: No Solution
Exploring Operation: 72-49=23, Resulting Numbers: [23]
23,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[72, 45], Operations: ['8*9=72', '47-2=45']
Exploring Operation: 72-45=27, Resulting Numbers: [27]
27,97 unequal: No Solution
Exploring Operation: 72*45=3240, Resulting Numbers: [3240]
3240,97 unequal: No Solution
Exploring Operation: 72+45=117, Resulting Numbers: [117]
117,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[47, 70], Operations: ['8*9=72', '72-2=70']
Exploring Operation: 47*70=3290, Resulting Numbers: [3290]
3290,97 unequal: No Solution
Exploring Operation: 47+70=117, Resulting Numbers: [117]
117,97 unequal: No Solution
Exploring Operation: 70-47=23, Resulting Numbers: [23]
23,97 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: 97:[8, 9, 94], Operations: ['47*2=94']
Exploring Operation: 9-8=1, Resulting Numbers: [94, 1]
Generated Node #0,3,0: 97:[94, 1] Operation: 9-8=1
Exploring Operation: 8+9=17, Resulting Numbers: [94, 17]
Generated Node #0,3,1: 97:[94, 17] Operation: 8+9=17
Exploring Operation: 9+94=103, Resulting Numbers: [8, 103]
Generated Node #0,3,2: 97:[8, 103] Operation: 9+94=103
Exploring Operation: 8+94=102, Resulting Numbers: [9, 102]
Generated Node #0,3,3: 97:[9, 102] Operation: 8+94=102
Exploring Operation: 8*9=72, Resulting Numbers: [94, 72]
Generated Node #0,3,4: 97:[94, 72] Operation: 8*9=72
Moving to Node #0,1
Current State: 97:[8, 47, 18], Operations: ['2*9=18']
Exploring Operation: 8+47=55, Resulting Numbers: [18, 55]
Generated Node #0,1,0: 97:[18, 55] Operation: 8+47=55
Exploring Operation: 47+18=65, Resulting Numbers: [8, 65]
Generated Node #0,1,1: 97:[8, 65] Operation: 47+18=65
Exploring Operation: 47-8=39, Resulting Numbers: [18, 39]
Generated Node #0,1,2: 97:[18, 39] Operation: 47-8=39
Exploring Operation: 8*18=144, Resulting Numbers: [47, 144]
Generated Node #0,1,3: 97:[47, 144] Operation: 8*18=144
Exploring Operation: 8+18=26, Resulting Numbers: [47, 26]
Generated Node #0,1,4: 97:[47, 26] Operation: 8+18=26
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 97:[47, 144], Operations: ['2*9=18', '8*18=144']
Exploring Operation: 47+144=191, Resulting Numbers: [191]
191,97 unequal: No Solution
Exploring Operation: 47*144=6768, Resulting Numbers: [6768]
6768,97 unequal: No Solution
Exploring Operation: 144-47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[8, 47, 2, 9], Operations: []
Exploring Operation: 2*9=18, Resulting Numbers: [8, 47, 18]
Generated Node #0,1: 97:[8, 47, 18] Operation: 2*9=18
Moving to Node #0,1
Current State: 97:[8, 47, 18], Operations: ['2*9=18']
Exploring Operation: 8*18=144, Resulting Numbers: [47, 144]
Generated Node #0,1,3: 97:[47, 144] Operation: 8*18=144
Moving to Node #0,1,3
Current State: 97:[47, 144], Operations: ['2*9=18', '8*18=144']
Exploring Operation: 144-47=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
45,
5,
97,
94
] | 53 | [
"45+5=50",
"97-94=3",
"50+3=53"
] | Current State: 53:[45, 5, 97, 94], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [97, 94, 50]
Generated Node #2: [97, 94, 50] from Operation: 45+5=50
Current State: 53:[97, 94, 50], Operations: ['45+5=50']
Exploring Operation: 97-94=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 97-94=3
Current State: 53:[50, 3], Operations: ['45+5=50', '97-94=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[45, 5, 97, 94], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [45, 94, 92]
Generated Node #0,0: 53:[45, 94, 92] Operation: 97-5=92
Exploring Operation: 45+5=50, Resulting Numbers: [97, 94, 50]
Generated Node #0,1: 53:[97, 94, 50] Operation: 45+5=50
Moving to Node #0,0
Current State: 53:[45, 94, 92], Operations: ['97-5=92']
Exploring Operation: 92-45=47, Resulting Numbers: [94, 47]
Generated Node #0,0,0: 53:[94, 47] Operation: 92-45=47
Exploring Operation: 94-45=49, Resulting Numbers: [92, 49]
Generated Node #0,0,1: 53:[92, 49] Operation: 94-45=49
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 53:[92, 49], Operations: ['97-5=92', '94-45=49']
Exploring Operation: 92-49=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Exploring Operation: 92+49=141, Resulting Numbers: [141]
141,53 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 #0,0,0
Current State: 53:[94, 47], Operations: ['97-5=92', '92-45=47']
Exploring Operation: 94/47=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Exploring Operation: 94-47=47, Resulting Numbers: [47]
47,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 53:[97, 94, 50], Operations: ['45+5=50']
Exploring Operation: 97-94=3, Resulting Numbers: [50, 3]
Generated Node #0,1,0: 53:[50, 3] Operation: 97-94=3
Exploring Operation: 97-50=47, Resulting Numbers: [94, 47]
Generated Node #0,1,1: 53:[94, 47] Operation: 97-50=47
Moving to Node #0,1,1
Current State: 53:[94, 47], Operations: ['45+5=50', '97-50=47']
Exploring Operation: 94-47=47, Resulting Numbers: [47]
47,53 unequal: No Solution
Exploring Operation: 94/47=2, Resulting Numbers: [2]
2,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[50, 3], Operations: ['45+5=50', '97-94=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[45, 5, 97, 94], Operations: []
Exploring Operation: 45+5=50, Resulting Numbers: [97, 94, 50]
Generated Node #0,1: 53:[97, 94, 50] Operation: 45+5=50
Moving to Node #0,1
Current State: 53:[97, 94, 50], Operations: ['45+5=50']
Exploring Operation: 97-94=3, Resulting Numbers: [50, 3]
Generated Node #0,1,0: 53:[50, 3] Operation: 97-94=3
Moving to Node #0,1,0
Current State: 53:[50, 3], Operations: ['45+5=50', '97-94=3']
Exploring Operation: 50+3=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 0.985243 | hs_2 | sum_heuristic |
[
2,
71,
10,
77
] | 69 | [
"71-10=61",
"77+61=138",
"138/2=69"
] | Current State: 69:[2, 71, 10, 77], Operations: []
Exploring Operation: 71-10=61, Resulting Numbers: [2, 77, 61]
Generated Node #2: [2, 77, 61] from Operation: 71-10=61
Current State: 69:[2, 77, 61], Operations: ['71-10=61']
Exploring Operation: 77+61=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 77+61=138
Current State: 69:[2, 138], Operations: ['71-10=61', '77+61=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[2, 71, 10, 77], Operations: []
Exploring Operation: 77-10=67, Resulting Numbers: [2, 71, 67]
Generated Node #0,0: 69:[2, 71, 67] Operation: 77-10=67
Moving to Node #0,0
Current State: 69:[2, 71, 67], Operations: ['77-10=67']
Exploring Operation: 71-2=69, Resulting Numbers: [67, 69]
Generated Node #0,0,0: 69:[67, 69] Operation: 71-2=69
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 69:[67, 69], Operations: ['77-10=67', '71-2=69']
Exploring Operation: 69-67=2, Resulting Numbers: [2]
2,69 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 |
[
97,
7,
28,
67
] | 51 | [
"97-7=90",
"67-28=39",
"90-39=51"
] | Current State: 51:[97, 7, 28, 67], Operations: []
Exploring Operation: 97-7=90, Resulting Numbers: [28, 67, 90]
Generated Node #2: [28, 67, 90] from Operation: 97-7=90
Current State: 51:[28, 67, 90], Operations: ['97-7=90']
Exploring Operation: 67-28=39, Resulting Numbers: [90, 39]
Generated Node #3: [90, 39] from Operation: 67-28=39
Current State: 51:[90, 39], Operations: ['97-7=90', '67-28=39']
Exploring Operation: 90-39=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[97, 7, 28, 67], Operations: []
Exploring Operation: 97-67=30, Resulting Numbers: [7, 28, 30]
Generated Node #0,0: 51:[7, 28, 30] Operation: 97-67=30
Moving to Node #0,0
Current State: 51:[7, 28, 30], Operations: ['97-67=30']
Exploring Operation: 30-28=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 51:[7, 2] Operation: 30-28=2
Moving to Node #0,0,0
Current State: 51:[7, 2], Operations: ['97-67=30', '30-28=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
71,
2,
72,
42
] | 22 | [
"72-71=1",
"42/2=21",
"1+21=22"
] | Current State: 22:[71, 2, 72, 42], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [2, 42, 1]
Generated Node #2: [2, 42, 1] from Operation: 72-71=1
Current State: 22:[2, 42, 1], Operations: ['72-71=1']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 42/2=21
Current State: 22:[1, 21], Operations: ['72-71=1', '42/2=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[71, 2, 72, 42], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [2, 72, 29]
Generated Node #0,0: 22:[2, 72, 29] Operation: 71-42=29
Exploring Operation: 72-71=1, Resulting Numbers: [2, 42, 1]
Generated Node #0,1: 22:[2, 42, 1] Operation: 72-71=1
Exploring Operation: 72-42=30, Resulting Numbers: [71, 2, 30]
Generated Node #0,2: 22:[71, 2, 30] Operation: 72-42=30
Moving to Node #0,1
Current State: 22:[2, 42, 1], Operations: ['72-71=1']
Exploring Operation: 42-2=40, Resulting Numbers: [1, 40]
Generated Node #0,1,0: 22:[1, 40] Operation: 42-2=40
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,1,1: 22:[1, 21] Operation: 42/2=21
Exploring Operation: 42-1=41, Resulting Numbers: [2, 41]
Generated Node #0,1,2: 22:[2, 41] Operation: 42-1=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[1, 21], Operations: ['72-71=1', '42/2=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[71, 2, 72, 42], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [2, 42, 1]
Generated Node #0,1: 22:[2, 42, 1] Operation: 72-71=1
Moving to Node #0,1
Current State: 22:[2, 42, 1], Operations: ['72-71=1']
Exploring Operation: 42/2=21, Resulting Numbers: [1, 21]
Generated Node #0,1,1: 22:[1, 21] Operation: 42/2=21
Moving to Node #0,1,1
Current State: 22:[1, 21], Operations: ['72-71=1', '42/2=21']
Exploring Operation: 1+21=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
58,
19,
29,
3
] | 45 | [
"58+19=77",
"29+3=32",
"77-32=45"
] | Current State: 45:[58, 19, 29, 3], Operations: []
Exploring Operation: 58+19=77, Resulting Numbers: [29, 3, 77]
Generated Node #2: [29, 3, 77] from Operation: 58+19=77
Current State: 45:[29, 3, 77], Operations: ['58+19=77']
Exploring Operation: 29+3=32, Resulting Numbers: [77, 32]
Generated Node #3: [77, 32] from Operation: 29+3=32
Current State: 45:[77, 32], Operations: ['58+19=77', '29+3=32']
Exploring Operation: 77-32=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[58, 19, 29, 3], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [19, 3, 2]
Generated Node #0,0: 45:[19, 3, 2] Operation: 58/29=2
Exploring Operation: 29-19=10, Resulting Numbers: [58, 3, 10]
Generated Node #0,1: 45:[58, 3, 10] Operation: 29-19=10
Exploring Operation: 19+29=48, Resulting Numbers: [58, 3, 48]
Generated Node #0,2: 45:[58, 3, 48] Operation: 19+29=48
Exploring Operation: 58-29=29, Resulting Numbers: [19, 3, 29]
Generated Node #0,3: 45:[19, 3, 29] Operation: 58-29=29
Moving to Node #0,0
Current State: 45:[19, 3, 2], Operations: ['58/29=2']
Exploring Operation: 3+2=5, Resulting Numbers: [19, 5]
Generated Node #0,0,0: 45:[19, 5] Operation: 3+2=5
Exploring Operation: 3*2=6, Resulting Numbers: [19, 6]
Generated Node #0,0,1: 45:[19, 6] Operation: 3*2=6
Exploring Operation: 19-2=17, Resulting Numbers: [3, 17]
Generated Node #0,0,2: 45:[3, 17] Operation: 19-2=17
Exploring Operation: 19-3=16, Resulting Numbers: [2, 16]
Generated Node #0,0,3: 45:[2, 16] Operation: 19-3=16
Moving to Node #0,1
Current State: 45:[58, 3, 10], Operations: ['29-19=10']
Exploring Operation: 3+10=13, Resulting Numbers: [58, 13]
Generated Node #0,1,0: 45:[58, 13] Operation: 3+10=13
Exploring Operation: 10-3=7, Resulting Numbers: [58, 7]
Generated Node #0,1,1: 45:[58, 7] Operation: 10-3=7
Exploring Operation: 58-10=48, Resulting Numbers: [3, 48]
Generated Node #0,1,2: 45:[3, 48] Operation: 58-10=48
Exploring Operation: 58-3=55, Resulting Numbers: [10, 55]
Generated Node #0,1,3: 45:[10, 55] Operation: 58-3=55
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 45:[3, 48], Operations: ['29-19=10', '58-10=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,45 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,45 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,45 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[58, 19, 29, 3], Operations: []
Exploring Operation: 29-19=10, Resulting Numbers: [58, 3, 10]
Generated Node #0,1: 45:[58, 3, 10] Operation: 29-19=10
Moving to Node #0,1
Current State: 45:[58, 3, 10], Operations: ['29-19=10']
Exploring Operation: 58-10=48, Resulting Numbers: [3, 48]
Generated Node #0,1,2: 45:[3, 48] Operation: 58-10=48
Moving to Node #0,1,2
Current State: 45:[3, 48], Operations: ['29-19=10', '58-10=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
4,
49,
46,
85
] | 40 | [
"49+46=95",
"95-85=10",
"4*10=40"
] | Current State: 40:[4, 49, 46, 85], Operations: []
Exploring Operation: 49+46=95, Resulting Numbers: [4, 85, 95]
Generated Node #2: [4, 85, 95] from Operation: 49+46=95
Current State: 40:[4, 85, 95], Operations: ['49+46=95']
Exploring Operation: 95-85=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 95-85=10
Current State: 40:[4, 10], Operations: ['49+46=95', '95-85=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[4, 49, 46, 85], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [4, 49, 39]
Generated Node #0,0: 40:[4, 49, 39] Operation: 85-46=39
Exploring Operation: 85-49=36, Resulting Numbers: [4, 46, 36]
Generated Node #0,1: 40:[4, 46, 36] Operation: 85-49=36
Moving to Node #0,0
Current State: 40:[4, 49, 39], Operations: ['85-46=39']
Exploring Operation: 49-39=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 49-39=10
Exploring Operation: 49-4=45, Resulting Numbers: [39, 45]
Generated Node #0,0,1: 40:[39, 45] Operation: 49-4=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['85-46=39', '49-39=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,40 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[4, 49, 46, 85], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [4, 49, 39]
Generated Node #0,0: 40:[4, 49, 39] Operation: 85-46=39
Moving to Node #0,0
Current State: 40:[4, 49, 39], Operations: ['85-46=39']
Exploring Operation: 49-39=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 40:[4, 10] Operation: 49-39=10
Moving to Node #0,0,0
Current State: 40:[4, 10], Operations: ['85-46=39', '49-39=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
84,
86,
22,
79
] | 70 | [
"86-79=7",
"22*7=154",
"154-84=70"
] | Current State: 70:[84, 86, 22, 79], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [84, 22, 7]
Generated Node #2: [84, 22, 7] from Operation: 86-79=7
Current State: 70:[84, 22, 7], Operations: ['86-79=7']
Exploring Operation: 22*7=154, Resulting Numbers: [84, 154]
Generated Node #3: [84, 154] from Operation: 22*7=154
Current State: 70:[84, 154], Operations: ['86-79=7', '22*7=154']
Exploring Operation: 154-84=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[84, 86, 22, 79], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [84, 22, 7]
Generated Node #0,0: 70:[84, 22, 7] Operation: 86-79=7
Exploring Operation: 84-22=62, Resulting Numbers: [86, 79, 62]
Generated Node #0,1: 70:[86, 79, 62] Operation: 84-22=62
Exploring Operation: 86-22=64, Resulting Numbers: [84, 79, 64]
Generated Node #0,2: 70:[84, 79, 64] Operation: 86-22=64
Exploring Operation: 84-79=5, Resulting Numbers: [86, 22, 5]
Generated Node #0,3: 70:[86, 22, 5] Operation: 84-79=5
Exploring Operation: 86-84=2, Resulting Numbers: [22, 79, 2]
Generated Node #0,4: 70:[22, 79, 2] Operation: 86-84=2
Moving to Node #0,4
Current State: 70:[22, 79, 2], Operations: ['86-84=2']
Exploring Operation: 79-2=77, Resulting Numbers: [22, 77]
Generated Node #0,4,0: 70:[22, 77] Operation: 79-2=77
Exploring Operation: 22*2=44, Resulting Numbers: [79, 44]
Generated Node #0,4,1: 70:[79, 44] Operation: 22*2=44
Exploring Operation: 79-22=57, Resulting Numbers: [2, 57]
Generated Node #0,4,2: 70:[2, 57] Operation: 79-22=57
Exploring Operation: 22-2=20, Resulting Numbers: [79, 20]
Generated Node #0,4,3: 70:[79, 20] Operation: 22-2=20
Exploring Operation: 22/2=11, Resulting Numbers: [79, 11]
Generated Node #0,4,4: 70:[79, 11] Operation: 22/2=11
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 70:[79, 11], Operations: ['86-84=2', '22/2=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,70 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 70:[2, 57], Operations: ['86-84=2', '79-22=57']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 70:[22, 77], Operations: ['86-84=2', '79-2=77']
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,70 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 70:[79, 20], Operations: ['86-84=2', '22-2=20']
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,70 unequal: No Solution
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 70:[79, 44], Operations: ['86-84=2', '22*2=44']
Exploring Operation: 79+44=123, Resulting Numbers: [123]
123,70 unequal: No Solution
Exploring Operation: 79*44=3476, Resulting Numbers: [3476]
3476,70 unequal: No Solution
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,70 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: 70:[84, 22, 7], Operations: ['86-79=7']
Exploring Operation: 84-22=62, Resulting Numbers: [7, 62]
Generated Node #0,0,0: 70:[7, 62] Operation: 84-22=62
Exploring Operation: 84/7=12, Resulting Numbers: [22, 12]
Generated Node #0,0,1: 70:[22, 12] Operation: 84/7=12
Exploring Operation: 22-7=15, Resulting Numbers: [84, 15]
Generated Node #0,0,2: 70:[84, 15] Operation: 22-7=15
Exploring Operation: 22+7=29, Resulting Numbers: [84, 29]
Generated Node #0,0,3: 70:[84, 29] Operation: 22+7=29
Exploring Operation: 84-7=77, Resulting Numbers: [22, 77]
Generated Node #0,0,4: 70:[22, 77] Operation: 84-7=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[7, 62], Operations: ['86-79=7', '84-22=62']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 7*62=434, Resulting Numbers: [434]
434,70 unequal: No Solution
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 70:[22, 12], Operations: ['86-79=7', '84/7=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,70 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 70:[84, 15], Operations: ['86-79=7', '22-7=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 70:[22, 77], Operations: ['86-79=7', '84-7=77']
Exploring Operation: 22+77=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Exploring Operation: 22*77=1694, Resulting Numbers: [1694]
1694,70 unequal: No Solution
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 70:[84, 29], Operations: ['86-79=7', '22+7=29']
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,70 unequal: No Solution
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,70 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: 70:[86, 22, 5], Operations: ['84-79=5']
Exploring Operation: 86-5=81, Resulting Numbers: [22, 81]
Generated Node #0,3,0: 70:[22, 81] Operation: 86-5=81
Exploring Operation: 22-5=17, Resulting Numbers: [86, 17]
Generated Node #0,3,1: 70:[86, 17] Operation: 22-5=17
Exploring Operation: 86+5=91, Resulting Numbers: [22, 91]
Generated Node #0,3,2: 70:[22, 91] Operation: 86+5=91
Exploring Operation: 22+5=27, Resulting Numbers: [86, 27]
Generated Node #0,3,3: 70:[86, 27] Operation: 22+5=27
Exploring Operation: 86-22=64, Resulting Numbers: [5, 64]
Generated Node #0,3,4: 70:[5, 64] Operation: 86-22=64
Moving to Node #0,2
Current State: 70:[84, 79, 64], Operations: ['86-22=64']
Exploring Operation: 79+64=143, Resulting Numbers: [84, 143]
Generated Node #0,2,0: 70:[84, 143] Operation: 79+64=143
Exploring Operation: 84-79=5, Resulting Numbers: [64, 5]
Generated Node #0,2,1: 70:[64, 5] Operation: 84-79=5
Exploring Operation: 84-64=20, Resulting Numbers: [79, 20]
Generated Node #0,2,2: 70:[79, 20] Operation: 84-64=20
Exploring Operation: 84+64=148, Resulting Numbers: [79, 148]
Generated Node #0,2,3: 70:[79, 148] Operation: 84+64=148
Exploring Operation: 79-64=15, Resulting Numbers: [84, 15]
Generated Node #0,2,4: 70:[84, 15] Operation: 79-64=15
Moving to Node #0,1
Current State: 70:[86, 79, 62], Operations: ['84-22=62']
Exploring Operation: 86-79=7, Resulting Numbers: [62, 7]
Generated Node #0,1,0: 70:[62, 7] Operation: 86-79=7
Exploring Operation: 79-62=17, Resulting Numbers: [86, 17]
Generated Node #0,1,1: 70:[86, 17] Operation: 79-62=17
Exploring Operation: 79+62=141, Resulting Numbers: [86, 141]
Generated Node #0,1,2: 70:[86, 141] Operation: 79+62=141
Exploring Operation: 86+62=148, Resulting Numbers: [79, 148]
Generated Node #0,1,3: 70:[79, 148] Operation: 86+62=148
Exploring Operation: 86-62=24, Resulting Numbers: [79, 24]
Generated Node #0,1,4: 70:[79, 24] Operation: 86-62=24
Moving to Node #0,3,4
Current State: 70:[5, 64], Operations: ['84-79=5', '86-22=64']
Exploring Operation: 5+64=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 5*64=320, Resulting Numbers: [320]
320,70 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Moving to Node #0,2,1
Current State: 70:[64, 5], Operations: ['86-22=64', '84-79=5']
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 64*5=320, Resulting Numbers: [320]
320,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[62, 7], Operations: ['84-22=62', '86-79=7']
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[79, 20], Operations: ['86-22=64', '84-64=20']
Exploring Operation: 79-20=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 79*20=1580, Resulting Numbers: [1580]
1580,70 unequal: No Solution
Exploring Operation: 79+20=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Moving to Node #0,2,4
Current State: 70:[84, 15], Operations: ['86-22=64', '79-64=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,70 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Moving to Node #0,3,1
Current State: 70:[86, 17], Operations: ['84-79=5', '22-5=17']
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 86*17=1462, Resulting Numbers: [1462]
1462,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[86, 17], Operations: ['84-22=62', '79-62=17']
Exploring Operation: 86+17=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Exploring Operation: 86*17=1462, Resulting Numbers: [1462]
1462,70 unequal: No Solution
Exploring Operation: 86-17=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Moving to Node #0,3,0
Current State: 70:[22, 81], Operations: ['84-79=5', '86-5=81']
Exploring Operation: 22+81=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Exploring Operation: 81-22=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 22*81=1782, Resulting Numbers: [1782]
1782,70 unequal: No Solution
Moving to Node #0,1,4
Current State: 70:[79, 24], Operations: ['84-22=62', '86-62=24']
Exploring Operation: 79*24=1896, Resulting Numbers: [1896]
1896,70 unequal: No Solution
Exploring Operation: 79+24=103, Resulting Numbers: [103]
103,70 unequal: No Solution
Exploring Operation: 79-24=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Moving to Node #0,3,3
Current State: 70:[86, 27], Operations: ['84-79=5', '22+5=27']
Exploring Operation: 86*27=2322, Resulting Numbers: [2322]
2322,70 unequal: No Solution
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 86+27=113, Resulting Numbers: [113]
113,70 unequal: No Solution
Moving to Node #0,3,2
Current State: 70:[22, 91], Operations: ['84-79=5', '86+5=91']
Exploring Operation: 91-22=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 22+91=113, Resulting Numbers: [113]
113,70 unequal: No Solution
Exploring Operation: 22*91=2002, Resulting Numbers: [2002]
2002,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[86, 141], Operations: ['84-22=62', '79+62=141']
Exploring Operation: 86*141=12126, Resulting Numbers: [12126]
12126,70 unequal: No Solution
Exploring Operation: 86+141=227, Resulting Numbers: [227]
227,70 unequal: No Solution
Exploring Operation: 141-86=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Moving to Node #0,1,3
Current State: 70:[79, 148], Operations: ['84-22=62', '86+62=148']
Exploring Operation: 148-79=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 79+148=227, Resulting Numbers: [227]
227,70 unequal: No Solution
Exploring Operation: 79*148=11692, Resulting Numbers: [11692]
11692,70 unequal: No Solution
Moving to Node #0,2,3
Current State: 70:[79, 148], Operations: ['86-22=64', '84+64=148']
Exploring Operation: 148-79=69, Resulting Numbers: [69]
69,70 unequal: No Solution
Exploring Operation: 79+148=227, Resulting Numbers: [227]
227,70 unequal: No Solution
Exploring Operation: 79*148=11692, Resulting Numbers: [11692]
11692,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[84, 143], Operations: ['86-22=64', '79+64=143']
Exploring Operation: 143-84=59, Resulting Numbers: [59]
59,70 unequal: No Solution
Exploring Operation: 84*143=12012, Resulting Numbers: [12012]
12012,70 unequal: No Solution
Exploring Operation: 84+143=227, Resulting Numbers: [227]
227,70 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
70,
71,
82,
70
] | 11 | [
"70+71=141",
"82+70=152",
"152-141=11"
] | Current State: 11:[70, 71, 82, 70], Operations: []
Exploring Operation: 70+71=141, Resulting Numbers: [82, 141]
Generated Node #2: [82, 141] from Operation: 70+71=141
Current State: 11:[82, 141], Operations: ['70+71=141']
Exploring Operation: 82+70=152, Resulting Numbers: [141, 152]
Generated Node #3: [141, 152] from Operation: 82+70=152
Current State: 11:[141, 152], Operations: ['70+71=141', '82+70=152']
Exploring Operation: 152-141=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[70, 71, 82, 70], Operations: []
Exploring Operation: 82-70=12, Resulting Numbers: [71, 70, 12]
Generated Node #0,0: 11:[71, 70, 12] Operation: 82-70=12
Exploring Operation: 82-71=11, Resulting Numbers: [70, 70, 11]
Generated Node #0,1: 11:[70, 70, 11] Operation: 82-71=11
Exploring Operation: 71-70=1, Resulting Numbers: [70, 82, 1]
Generated Node #0,2: 11:[70, 82, 1] Operation: 71-70=1
Exploring Operation: 82-70=12, Resulting Numbers: [70, 71, 12]
Generated Node #0,3: 11:[70, 71, 12] Operation: 82-70=12
Exploring Operation: 71-70=1, Resulting Numbers: [82, 70, 1]
Generated Node #0,4: 11:[82, 70, 1] Operation: 71-70=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[70, 70, 11], Operations: ['82-71=11']
Exploring Operation: 70/70=1, Resulting Numbers: [11, 1]
Generated Node #0,1,0: 11:[11, 1] Operation: 70/70=1
Exploring Operation: 70-11=59, Resulting Numbers: [70, 59]
Generated Node #0,1,1: 11:[70, 59] Operation: 70-11=59
Exploring Operation: 70+70=140, Resulting Numbers: [11, 140]
Generated Node #0,1,2: 11:[11, 140] Operation: 70+70=140
Exploring Operation: 70-70=0, Resulting Numbers: [11, 0]
Generated Node #0,1,3: 11:[11, 0] Operation: 70-70=0
Exploring Operation: 70-11=59, Resulting Numbers: [70, 59]
Generated Node #0,1,4: 11:[70, 59] Operation: 70-11=59
Moving to Node #0,1,0
Current State: 11:[11, 1], Operations: ['82-71=11', '70/70=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,11 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[70, 71, 82, 70], Operations: []
Exploring Operation: 82-71=11, Resulting Numbers: [70, 70, 11]
Generated Node #0,1: 11:[70, 70, 11] Operation: 82-71=11
Moving to Node #0,1
Current State: 11:[70, 70, 11], Operations: ['82-71=11']
Exploring Operation: 70/70=1, Resulting Numbers: [11, 1]
Generated Node #0,1,0: 11:[11, 1] Operation: 70/70=1
Moving to Node #0,1,0
Current State: 11:[11, 1], Operations: ['82-71=11', '70/70=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
62,
75,
72,
80
] | 79 | [
"80-62=18",
"72/18=4",
"75+4=79"
] | Current State: 79:[62, 75, 72, 80], Operations: []
Exploring Operation: 80-62=18, Resulting Numbers: [75, 72, 18]
Generated Node #2: [75, 72, 18] from Operation: 80-62=18
Current State: 79:[75, 72, 18], Operations: ['80-62=18']
Exploring Operation: 72/18=4, Resulting Numbers: [75, 4]
Generated Node #3: [75, 4] from Operation: 72/18=4
Current State: 79:[75, 4], Operations: ['80-62=18', '72/18=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[62, 75, 72, 80], Operations: []
Exploring Operation: 62+75=137, Resulting Numbers: [72, 80, 137]
Generated Node #0,0: 79:[72, 80, 137] Operation: 62+75=137
Exploring Operation: 80-62=18, Resulting Numbers: [75, 72, 18]
Generated Node #0,1: 79:[75, 72, 18] Operation: 80-62=18
Exploring Operation: 62+72=134, Resulting Numbers: [75, 80, 134]
Generated Node #0,2: 79:[75, 80, 134] Operation: 62+72=134
Moving to Node #0,2
Current State: 79:[75, 80, 134], Operations: ['62+72=134']
Exploring Operation: 80-75=5, Resulting Numbers: [134, 5]
Generated Node #0,2,0: 79:[134, 5] Operation: 80-75=5
Exploring Operation: 134-80=54, Resulting Numbers: [75, 54]
Generated Node #0,2,1: 79:[75, 54] Operation: 134-80=54
Exploring Operation: 134-75=59, Resulting Numbers: [80, 59]
Generated Node #0,2,2: 79:[80, 59] Operation: 134-75=59
Moving to Node #0,0
Current State: 79:[72, 80, 137], Operations: ['62+75=137']
Exploring Operation: 137-72=65, Resulting Numbers: [80, 65]
Generated Node #0,0,0: 79:[80, 65] Operation: 137-72=65
Exploring Operation: 80-72=8, Resulting Numbers: [137, 8]
Generated Node #0,0,1: 79:[137, 8] Operation: 80-72=8
Exploring Operation: 137-80=57, Resulting Numbers: [72, 57]
Generated Node #0,0,2: 79:[72, 57] Operation: 137-80=57
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[80, 65], Operations: ['62+75=137', '137-72=65']
Exploring Operation: 80+65=145, Resulting Numbers: [145]
145,79 unequal: No Solution
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 80*65=5200, Resulting Numbers: [5200]
5200,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 79:[72, 57], Operations: ['62+75=137', '137-80=57']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 72*57=4104, Resulting Numbers: [4104]
4104,79 unequal: No Solution
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 79:[137, 8], Operations: ['62+75=137', '80-72=8']
Exploring Operation: 137+8=145, Resulting Numbers: [145]
145,79 unequal: No Solution
Exploring Operation: 137-8=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 137*8=1096, Resulting Numbers: [1096]
1096,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[75, 72, 18], Operations: ['80-62=18']
Exploring Operation: 75+18=93, Resulting Numbers: [72, 93]
Generated Node #0,1,0: 79:[72, 93] Operation: 75+18=93
Exploring Operation: 75-18=57, Resulting Numbers: [72, 57]
Generated Node #0,1,1: 79:[72, 57] Operation: 75-18=57
Exploring Operation: 72+18=90, Resulting Numbers: [75, 90]
Generated Node #0,1,2: 79:[75, 90] Operation: 72+18=90
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[75, 90], Operations: ['80-62=18', '72+18=90']
Exploring Operation: 75+90=165, Resulting Numbers: [165]
165,79 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 75*90=6750, Resulting Numbers: [6750]
6750,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[72, 93], Operations: ['80-62=18', '75+18=93']
Exploring Operation: 72*93=6696, Resulting Numbers: [6696]
6696,79 unequal: No Solution
Exploring Operation: 93-72=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 72+93=165, Resulting Numbers: [165]
165,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[72, 57], Operations: ['80-62=18', '75-18=57']
Exploring Operation: 72-57=15, Resulting Numbers: [15]
15,79 unequal: No Solution
Exploring Operation: 72+57=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 72*57=4104, Resulting Numbers: [4104]
4104,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 79:[80, 59], Operations: ['62+72=134', '134-75=59']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Exploring Operation: 80*59=4720, Resulting Numbers: [4720]
4720,79 unequal: No Solution
Exploring Operation: 80+59=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[75, 54], Operations: ['62+72=134', '134-80=54']
Exploring Operation: 75*54=4050, Resulting Numbers: [4050]
4050,79 unequal: No Solution
Exploring Operation: 75+54=129, Resulting Numbers: [129]
129,79 unequal: No Solution
Exploring Operation: 75-54=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[134, 5], Operations: ['62+72=134', '80-75=5']
Exploring Operation: 134+5=139, Resulting Numbers: [139]
139,79 unequal: No Solution
Exploring Operation: 134*5=670, Resulting Numbers: [670]
670,79 unequal: No Solution
Exploring Operation: 134-5=129, Resulting Numbers: [129]
129,79 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
78,
26,
67,
41
] | 79 | [
"67-26=41",
"41/41=1",
"78+1=79"
] | Current State: 79:[78, 26, 67, 41], Operations: []
Exploring Operation: 67-26=41, Resulting Numbers: [78, 41, 41]
Generated Node #2: [78, 41, 41] from Operation: 67-26=41
Current State: 79:[78, 41, 41], Operations: ['67-26=41']
Exploring Operation: 41/41=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 41/41=1
Current State: 79:[78, 1], Operations: ['67-26=41', '41/41=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[78, 26, 67, 41], Operations: []
Exploring Operation: 78+26=104, Resulting Numbers: [67, 41, 104]
Generated Node #0,0: 79:[67, 41, 104] Operation: 78+26=104
Exploring Operation: 78-26=52, Resulting Numbers: [67, 41, 52]
Generated Node #0,1: 79:[67, 41, 52] Operation: 78-26=52
Exploring Operation: 26+67=93, Resulting Numbers: [78, 41, 93]
Generated Node #0,2: 79:[78, 41, 93] Operation: 26+67=93
Exploring Operation: 67-26=41, Resulting Numbers: [78, 41, 41]
Generated Node #0,3: 79:[78, 41, 41] Operation: 67-26=41
Exploring Operation: 26+41=67, Resulting Numbers: [78, 67, 67]
Generated Node #0,4: 79:[78, 67, 67] Operation: 26+41=67
Moving to Node #0,4
Current State: 79:[78, 67, 67], Operations: ['26+41=67']
Exploring Operation: 78+67=145, Resulting Numbers: [67, 145]
Generated Node #0,4,0: 79:[67, 145] Operation: 78+67=145
Exploring Operation: 78-67=11, Resulting Numbers: [67, 11]
Generated Node #0,4,1: 79:[67, 11] Operation: 78-67=11
Exploring Operation: 67+67=134, Resulting Numbers: [78, 134]
Generated Node #0,4,2: 79:[78, 134] Operation: 67+67=134
Exploring Operation: 67/67=1, Resulting Numbers: [78, 1]
Generated Node #0,4,3: 79:[78, 1] Operation: 67/67=1
Exploring Operation: 78+67=145, Resulting Numbers: [67, 145]
Generated Node #0,4,4: 79:[67, 145] Operation: 78+67=145
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[78, 134], Operations: ['26+41=67', '67+67=134']
Exploring Operation: 78+134=212, Resulting Numbers: [212]
212,79 unequal: No Solution
Exploring Operation: 78*134=10452, Resulting Numbers: [10452]
10452,79 unequal: No Solution
Exploring Operation: 134-78=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[67, 145], Operations: ['26+41=67', '78+67=145']
Exploring Operation: 145-67=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 67*145=9715, Resulting Numbers: [9715]
9715,79 unequal: No Solution
Exploring Operation: 67+145=212, Resulting Numbers: [212]
212,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[67, 145], Operations: ['26+41=67', '78+67=145']
Exploring Operation: 67+145=212, Resulting Numbers: [212]
212,79 unequal: No Solution
Exploring Operation: 145-67=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 67*145=9715, Resulting Numbers: [9715]
9715,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[78, 1], Operations: ['26+41=67', '67/67=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 78/1=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[78, 26, 67, 41], Operations: []
Exploring Operation: 26+41=67, Resulting Numbers: [78, 67, 67]
Generated Node #0,4: 79:[78, 67, 67] Operation: 26+41=67
Moving to Node #0,4
Current State: 79:[78, 67, 67], Operations: ['26+41=67']
Exploring Operation: 67/67=1, Resulting Numbers: [78, 1]
Generated Node #0,4,3: 79:[78, 1] Operation: 67/67=1
Moving to Node #0,4,3
Current State: 79:[78, 1], Operations: ['26+41=67', '67/67=1']
Exploring Operation: 78+1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | mult_heuristic |
[
64,
2,
47,
76
] | 99 | [
"64*2=128",
"76-47=29",
"128-29=99"
] | Current State: 99:[64, 2, 47, 76], Operations: []
Exploring Operation: 64*2=128, Resulting Numbers: [47, 76, 128]
Generated Node #2: [47, 76, 128] from Operation: 64*2=128
Current State: 99:[47, 76, 128], Operations: ['64*2=128']
Exploring Operation: 76-47=29, Resulting Numbers: [128, 29]
Generated Node #3: [128, 29] from Operation: 76-47=29
Current State: 99:[128, 29], Operations: ['64*2=128', '76-47=29']
Exploring Operation: 128-29=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[64, 2, 47, 76], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [2, 47, 12]
Generated Node #0,0: 99:[2, 47, 12] Operation: 76-64=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[2, 47, 12], Operations: ['76-64=12']
Exploring Operation: 47-12=35, Resulting Numbers: [2, 35]
Generated Node #0,0,0: 99:[2, 35] Operation: 47-12=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[2, 35], Operations: ['76-64=12', '47-12=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,99 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
3,
21,
34,
20
] | 36 | [
"21-3=18",
"34+20=54",
"54-18=36"
] | Current State: 36:[3, 21, 34, 20], Operations: []
Exploring Operation: 21-3=18, Resulting Numbers: [34, 20, 18]
Generated Node #2: [34, 20, 18] from Operation: 21-3=18
Current State: 36:[34, 20, 18], Operations: ['21-3=18']
Exploring Operation: 34+20=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 34+20=54
Current State: 36:[18, 54], Operations: ['21-3=18', '34+20=54']
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[3, 21, 34, 20], Operations: []
Exploring Operation: 34-21=13, Resulting Numbers: [3, 20, 13]
Generated Node #0,0: 36:[3, 20, 13] Operation: 34-21=13
Moving to Node #0,0
Current State: 36:[3, 20, 13], Operations: ['34-21=13']
Exploring Operation: 20-13=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 36:[3, 7] Operation: 20-13=7
Moving to Node #0,0,0
Current State: 36:[3, 7], Operations: ['34-21=13', '20-13=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,36 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
21,
39,
3,
25
] | 99 | [
"21+25=46",
"3*46=138",
"138-39=99"
] | Current State: 99:[21, 39, 3, 25], Operations: []
Exploring Operation: 21+25=46, Resulting Numbers: [39, 3, 46]
Generated Node #2: [39, 3, 46] from Operation: 21+25=46
Current State: 99:[39, 3, 46], Operations: ['21+25=46']
Exploring Operation: 3*46=138, Resulting Numbers: [39, 138]
Generated Node #3: [39, 138] from Operation: 3*46=138
Current State: 99:[39, 138], Operations: ['21+25=46', '3*46=138']
Exploring Operation: 138-39=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[21, 39, 3, 25], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [39, 3, 4]
Generated Node #0,0: 99:[39, 3, 4] Operation: 25-21=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[39, 3, 4], Operations: ['25-21=4']
Exploring Operation: 39-4=35, Resulting Numbers: [3, 35]
Generated Node #0,0,0: 99:[3, 35] Operation: 39-4=35
Moving to Node #0,0,0
Current State: 99:[3, 35], Operations: ['25-21=4', '39-4=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
8,
79,
91,
75
] | 49 | [
"91-75=16",
"8*16=128",
"128-79=49"
] | Current State: 49:[8, 79, 91, 75], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [8, 79, 16]
Generated Node #2: [8, 79, 16] from Operation: 91-75=16
Current State: 49:[8, 79, 16], Operations: ['91-75=16']
Exploring Operation: 8*16=128, Resulting Numbers: [79, 128]
Generated Node #3: [79, 128] from Operation: 8*16=128
Current State: 49:[79, 128], Operations: ['91-75=16', '8*16=128']
Exploring Operation: 128-79=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[8, 79, 91, 75], Operations: []
Exploring Operation: 91-75=16, Resulting Numbers: [8, 79, 16]
Generated Node #0,0: 49:[8, 79, 16] Operation: 91-75=16
Exploring Operation: 91-79=12, Resulting Numbers: [8, 75, 12]
Generated Node #0,1: 49:[8, 75, 12] Operation: 91-79=12
Exploring Operation: 79-75=4, Resulting Numbers: [8, 91, 4]
Generated Node #0,2: 49:[8, 91, 4] Operation: 79-75=4
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[8, 75, 12], Operations: ['91-79=12']
Exploring Operation: 12-8=4, Resulting Numbers: [75, 4]
Generated Node #0,1,0: 49:[75, 4] Operation: 12-8=4
Exploring Operation: 75-8=67, Resulting Numbers: [12, 67]
Generated Node #0,1,1: 49:[12, 67] Operation: 75-8=67
Exploring Operation: 75-12=63, Resulting Numbers: [8, 63]
Generated Node #0,1,2: 49:[8, 63] Operation: 75-12=63
Moving to Node #0,1,2
Current State: 49:[8, 63], Operations: ['91-79=12', '75-12=63']
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,49 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[12, 67], Operations: ['91-79=12', '75-8=67']
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 12+67=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 12*67=804, Resulting Numbers: [804]
804,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[75, 4], Operations: ['91-79=12', '12-8=4']
Exploring Operation: 75+4=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 75-4=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 75*4=300, Resulting Numbers: [300]
300,49 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 #0,0
Current State: 49:[8, 79, 16], Operations: ['91-75=16']
Exploring Operation: 79-16=63, Resulting Numbers: [8, 63]
Generated Node #0,0,0: 49:[8, 63] Operation: 79-16=63
Exploring Operation: 79-8=71, Resulting Numbers: [16, 71]
Generated Node #0,0,1: 49:[16, 71] Operation: 79-8=71
Exploring Operation: 16-8=8, Resulting Numbers: [79, 8]
Generated Node #0,0,2: 49:[79, 8] Operation: 16-8=8
Moving to Node #0,0,0
Current State: 49:[8, 63], Operations: ['91-75=16', '79-16=63']
Exploring Operation: 8+63=71, Resulting Numbers: [71]
71,49 unequal: No Solution
Exploring Operation: 63-8=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 8*63=504, Resulting Numbers: [504]
504,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[16, 71], Operations: ['91-75=16', '79-8=71']
Exploring Operation: 71-16=55, Resulting Numbers: [55]
55,49 unequal: No Solution
Exploring Operation: 16+71=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 16*71=1136, Resulting Numbers: [1136]
1136,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[79, 8], Operations: ['91-75=16', '16-8=8']
Exploring Operation: 79*8=632, Resulting Numbers: [632]
632,49 unequal: No Solution
Exploring Operation: 79+8=87, Resulting Numbers: [87]
87,49 unequal: No Solution
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[8, 91, 4], Operations: ['79-75=4']
Exploring Operation: 91-8=83, Resulting Numbers: [4, 83]
Generated Node #0,2,0: 49:[4, 83] Operation: 91-8=83
Exploring Operation: 91-4=87, Resulting Numbers: [8, 87]
Generated Node #0,2,1: 49:[8, 87] Operation: 91-4=87
Exploring Operation: 8-4=4, Resulting Numbers: [91, 4]
Generated Node #0,2,2: 49:[91, 4] Operation: 8-4=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[4, 83], Operations: ['79-75=4', '91-8=83']
Exploring Operation: 83-4=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 4*83=332, Resulting Numbers: [332]
332,49 unequal: No Solution
Exploring Operation: 4+83=87, Resulting Numbers: [87]
87,49 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:[8, 87], Operations: ['79-75=4', '91-4=87']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,49 unequal: No Solution
Exploring Operation: 8*87=696, Resulting Numbers: [696]
696,49 unequal: No Solution
Exploring Operation: 8+87=95, Resulting Numbers: [95]
95,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[91, 4], Operations: ['79-75=4', '8-4=4']
Exploring Operation: 91*4=364, Resulting Numbers: [364]
364,49 unequal: No Solution
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,49 unequal: No Solution
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,49 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_3 | mult_heuristic |
[
71,
30,
34,
77
] | 70 | [
"71-30=41",
"34+77=111",
"111-41=70"
] | Current State: 70:[71, 30, 34, 77], Operations: []
Exploring Operation: 71-30=41, Resulting Numbers: [34, 77, 41]
Generated Node #2: [34, 77, 41] from Operation: 71-30=41
Current State: 70:[34, 77, 41], Operations: ['71-30=41']
Exploring Operation: 34+77=111, Resulting Numbers: [41, 111]
Generated Node #3: [41, 111] from Operation: 34+77=111
Current State: 70:[41, 111], Operations: ['71-30=41', '34+77=111']
Exploring Operation: 111-41=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[71, 30, 34, 77], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [71, 77, 4]
Generated Node #0,0: 70:[71, 77, 4] Operation: 34-30=4
Exploring Operation: 77-71=6, Resulting Numbers: [30, 34, 6]
Generated Node #0,1: 70:[30, 34, 6] Operation: 77-71=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[30, 34, 6], Operations: ['77-71=6']
Exploring Operation: 30/6=5, Resulting Numbers: [34, 5]
Generated Node #0,1,0: 70:[34, 5] Operation: 30/6=5
Exploring Operation: 34-30=4, Resulting Numbers: [6, 4]
Generated Node #0,1,1: 70:[6, 4] Operation: 34-30=4
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[34, 5], Operations: ['77-71=6', '30/6=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,70 unequal: No Solution
Exploring Operation: 34+5=39, Resulting Numbers: [39]
39,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 70:[6, 4], Operations: ['77-71=6', '34-30=4']
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[71, 77, 4], Operations: ['34-30=4']
Exploring Operation: 77-4=73, Resulting Numbers: [71, 73]
Generated Node #0,0,0: 70:[71, 73] Operation: 77-4=73
Exploring Operation: 77-71=6, Resulting Numbers: [4, 6]
Generated Node #0,0,1: 70:[4, 6] Operation: 77-71=6
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[4, 6], Operations: ['34-30=4', '77-71=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,70 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[71, 73], Operations: ['34-30=4', '77-4=73']
Exploring Operation: 73-71=2, Resulting Numbers: [2]
2,70 unequal: No Solution
Exploring Operation: 71+73=144, Resulting Numbers: [144]
144,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
55,
79,
86,
74
] | 26 | [
"55+79=134",
"86+74=160",
"160-134=26"
] | Current State: 26:[55, 79, 86, 74], Operations: []
Exploring Operation: 55+79=134, Resulting Numbers: [86, 74, 134]
Generated Node #2: [86, 74, 134] from Operation: 55+79=134
Current State: 26:[86, 74, 134], Operations: ['55+79=134']
Exploring Operation: 86+74=160, Resulting Numbers: [134, 160]
Generated Node #3: [134, 160] from Operation: 86+74=160
Current State: 26:[134, 160], Operations: ['55+79=134', '86+74=160']
Exploring Operation: 160-134=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[55, 79, 86, 74], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [55, 74, 7]
Generated Node #0,0: 26:[55, 74, 7] Operation: 86-79=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[55, 74, 7], Operations: ['86-79=7']
Exploring Operation: 74-55=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 26:[7, 19] Operation: 74-55=19
Moving to Node #0,0,0
Current State: 26:[7, 19], Operations: ['86-79=7', '74-55=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[55, 79, 86, 74], Operations: []
Exploring Operation: 86-79=7, Resulting Numbers: [55, 74, 7]
Generated Node #0,0: 26:[55, 74, 7] Operation: 86-79=7
Moving to Node #0,0
Current State: 26:[55, 74, 7], Operations: ['86-79=7']
Exploring Operation: 74-55=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 26:[7, 19] Operation: 74-55=19
Moving to Node #0,0,0
Current State: 26:[7, 19], Operations: ['86-79=7', '74-55=19']
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
65,
1,
89,
65
] | 88 | [
"65+1=66",
"89+65=154",
"154-66=88"
] | Current State: 88:[65, 1, 89, 65], Operations: []
Exploring Operation: 65+1=66, Resulting Numbers: [89, 66]
Generated Node #2: [89, 66] from Operation: 65+1=66
Current State: 88:[89, 66], Operations: ['65+1=66']
Exploring Operation: 89+65=154, Resulting Numbers: [66, 154]
Generated Node #3: [66, 154] from Operation: 89+65=154
Current State: 88:[66, 154], Operations: ['65+1=66', '89+65=154']
Exploring Operation: 154-66=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[65, 1, 89, 65], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [1, 89, 1]
Generated Node #0,0: 88:[1, 89, 1] Operation: 65/65=1
Exploring Operation: 65-65=0, Resulting Numbers: [1, 89, 0]
Generated Node #0,1: 88:[1, 89, 0] Operation: 65-65=0
Exploring Operation: 89-65=24, Resulting Numbers: [1, 65, 24]
Generated Node #0,2: 88:[1, 65, 24] Operation: 89-65=24
Exploring Operation: 89-65=24, Resulting Numbers: [65, 1, 24]
Generated Node #0,3: 88:[65, 1, 24] Operation: 89-65=24
Exploring Operation: 65-1=64, Resulting Numbers: [89, 65, 64]
Generated Node #0,4: 88:[89, 65, 64] Operation: 65-1=64
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[1, 89, 1], Operations: ['65/65=1']
Exploring Operation: 1+1=2, Resulting Numbers: [89, 2]
Generated Node #0,0,0: 88:[89, 2] Operation: 1+1=2
Exploring Operation: 89-1=88, Resulting Numbers: [1, 88]
Generated Node #0,0,1: 88:[1, 88] Operation: 89-1=88
Exploring Operation: 89/1=89, Resulting Numbers: [1, 89]
Generated Node #0,0,2: 88:[1, 89] Operation: 89/1=89
Exploring Operation: 89-1=88, Resulting Numbers: [1, 88]
Generated Node #0,0,3: 88:[1, 88] Operation: 89-1=88
Exploring Operation: 1*89=89, Resulting Numbers: [1, 89]
Generated Node #0,0,4: 88:[1, 89] Operation: 1*89=89
Moving to Node #0,0,0
Current State: 88:[89, 2], Operations: ['65/65=1', '1+1=2']
Exploring Operation: 89-2=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,88 unequal: No Solution
Exploring Operation: 89*2=178, Resulting Numbers: [178]
178,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[1, 88], Operations: ['65/65=1', '89-1=88']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,88 unequal: No Solution
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[65, 1, 89, 65], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [1, 89, 1]
Generated Node #0,0: 88:[1, 89, 1] Operation: 65/65=1
Moving to Node #0,0
Current State: 88:[1, 89, 1], Operations: ['65/65=1']
Exploring Operation: 89-1=88, Resulting Numbers: [1, 88]
Generated Node #0,0,3: 88:[1, 88] Operation: 89-1=88
Moving to Node #0,0,3
Current State: 88:[1, 88], Operations: ['65/65=1', '89-1=88']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
18,
19,
8,
36
] | 23 | [
"18*8=144",
"144/36=4",
"19+4=23"
] | Current State: 23:[18, 19, 8, 36], Operations: []
Exploring Operation: 18*8=144, Resulting Numbers: [19, 36, 144]
Generated Node #2: [19, 36, 144] from Operation: 18*8=144
Current State: 23:[19, 36, 144], Operations: ['18*8=144']
Exploring Operation: 144/36=4, Resulting Numbers: [19, 4]
Generated Node #3: [19, 4] from Operation: 144/36=4
Current State: 23:[19, 4], Operations: ['18*8=144', '144/36=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[18, 19, 8, 36], Operations: []
Exploring Operation: 19+8=27, Resulting Numbers: [18, 36, 27]
Generated Node #0,0: 23:[18, 36, 27] Operation: 19+8=27
Exploring Operation: 18+8=26, Resulting Numbers: [19, 36, 26]
Generated Node #0,1: 23:[19, 36, 26] Operation: 18+8=26
Exploring Operation: 36-18=18, Resulting Numbers: [19, 8, 18]
Generated Node #0,2: 23:[19, 8, 18] Operation: 36-18=18
Exploring Operation: 36-8=28, Resulting Numbers: [18, 19, 28]
Generated Node #0,3: 23:[18, 19, 28] Operation: 36-8=28
Moving to Node #0,3
Current State: 23:[18, 19, 28], Operations: ['36-8=28']
Exploring Operation: 28-19=9, Resulting Numbers: [18, 9]
Generated Node #0,3,0: 23:[18, 9] Operation: 28-19=9
Exploring Operation: 18+19=37, Resulting Numbers: [28, 37]
Generated Node #0,3,1: 23:[28, 37] Operation: 18+19=37
Exploring Operation: 28-18=10, Resulting Numbers: [19, 10]
Generated Node #0,3,2: 23:[19, 10] Operation: 28-18=10
Exploring Operation: 19-18=1, Resulting Numbers: [28, 1]
Generated Node #0,3,3: 23:[28, 1] Operation: 19-18=1
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 23:[19, 10], Operations: ['36-8=28', '28-18=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,23 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 23:[18, 9], Operations: ['36-8=28', '28-19=9']
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 23:[28, 37], Operations: ['36-8=28', '18+19=37']
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,23 unequal: No Solution
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 23:[28, 1], Operations: ['36-8=28', '19-18=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 28+1=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,23 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 23:[19, 36, 26], Operations: ['18+8=26']
Exploring Operation: 19+36=55, Resulting Numbers: [26, 55]
Generated Node #0,1,0: 23:[26, 55] Operation: 19+36=55
Exploring Operation: 26-19=7, Resulting Numbers: [36, 7]
Generated Node #0,1,1: 23:[36, 7] Operation: 26-19=7
Exploring Operation: 36-26=10, Resulting Numbers: [19, 10]
Generated Node #0,1,2: 23:[19, 10] Operation: 36-26=10
Exploring Operation: 36-19=17, Resulting Numbers: [26, 17]
Generated Node #0,1,3: 23:[26, 17] Operation: 36-19=17
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 23:[26, 17], Operations: ['18+8=26', '36-19=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,23 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 23:[19, 10], Operations: ['18+8=26', '36-26=10']
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,23 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 23:[36, 7], Operations: ['18+8=26', '26-19=7']
Exploring Operation: 36*7=252, Resulting Numbers: [252]
252,23 unequal: No Solution
Exploring Operation: 36+7=43, Resulting Numbers: [43]
43,23 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 23:[26, 55], Operations: ['18+8=26', '19+36=55']
Exploring Operation: 55-26=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 26+55=81, Resulting Numbers: [81]
81,23 unequal: No Solution
Exploring Operation: 26*55=1430, Resulting Numbers: [1430]
1430,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 23:[18, 36, 27], Operations: ['19+8=27']
Exploring Operation: 36-27=9, Resulting Numbers: [18, 9]
Generated Node #0,0,0: 23:[18, 9] Operation: 36-27=9
Exploring Operation: 36/18=2, Resulting Numbers: [27, 2]
Generated Node #0,0,1: 23:[27, 2] Operation: 36/18=2
Exploring Operation: 27-18=9, Resulting Numbers: [36, 9]
Generated Node #0,0,2: 23:[36, 9] Operation: 27-18=9
Exploring Operation: 36-18=18, Resulting Numbers: [27, 18]
Generated Node #0,0,3: 23:[27, 18] Operation: 36-18=18
Moving to Node #0,2
Current State: 23:[19, 8, 18], Operations: ['36-18=18']
Exploring Operation: 8+18=26, Resulting Numbers: [19, 26]
Generated Node #0,2,0: 23:[19, 26] Operation: 8+18=26
Exploring Operation: 18-8=10, Resulting Numbers: [19, 10]
Generated Node #0,2,1: 23:[19, 10] Operation: 18-8=10
Exploring Operation: 19+8=27, Resulting Numbers: [18, 27]
Generated Node #0,2,2: 23:[18, 27] Operation: 19+8=27
Exploring Operation: 19-8=11, Resulting Numbers: [18, 11]
Generated Node #0,2,3: 23:[18, 11] Operation: 19-8=11
Moving to Node #0,2,0
Current State: 23:[19, 26], Operations: ['36-18=18', '8+18=26']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,23 unequal: No Solution
Moving to Node #0,2,2
Current State: 23:[18, 27], Operations: ['36-18=18', '19+8=27']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 18*27=486, Resulting Numbers: [486]
486,23 unequal: No Solution
Exploring Operation: 18+27=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[27, 18], Operations: ['19+8=27', '36-18=18']
Exploring Operation: 27-18=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 27*18=486, Resulting Numbers: [486]
486,23 unequal: No Solution
Exploring Operation: 27+18=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,2,1
Current State: 23:[19, 10], Operations: ['36-18=18', '18-8=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[18, 11], Operations: ['36-18=18', '19-8=11']
Exploring Operation: 18+11=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 18*11=198, Resulting Numbers: [198]
198,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[18, 9], Operations: ['19+8=27', '36-27=9']
Exploring Operation: 18*9=162, Resulting Numbers: [162]
162,23 unequal: No Solution
Exploring Operation: 18+9=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 18-9=9, Resulting Numbers: [9]
9,23 unequal: No Solution
Exploring Operation: 18/9=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[27, 2], Operations: ['19+8=27', '36/18=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,23 unequal: No Solution
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,23 unequal: No Solution
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[36, 9], Operations: ['19+8=27', '27-18=9']
Exploring Operation: 36+9=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 36*9=324, Resulting Numbers: [324]
324,23 unequal: No Solution
Exploring Operation: 36-9=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,23 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
83,
91,
26,
55
] | 93 | [
"83+91=174",
"26+55=81",
"174-81=93"
] | Current State: 93:[83, 91, 26, 55], Operations: []
Exploring Operation: 83+91=174, Resulting Numbers: [26, 55, 174]
Generated Node #2: [26, 55, 174] from Operation: 83+91=174
Current State: 93:[26, 55, 174], Operations: ['83+91=174']
Exploring Operation: 26+55=81, Resulting Numbers: [174, 81]
Generated Node #3: [174, 81] from Operation: 26+55=81
Current State: 93:[174, 81], Operations: ['83+91=174', '26+55=81']
Exploring Operation: 174-81=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[83, 91, 26, 55], Operations: []
Exploring Operation: 55-26=29, Resulting Numbers: [83, 91, 29]
Generated Node #0,0: 93:[83, 91, 29] Operation: 55-26=29
Exploring Operation: 91-55=36, Resulting Numbers: [83, 26, 36]
Generated Node #0,1: 93:[83, 26, 36] Operation: 91-55=36
Exploring Operation: 83-55=28, Resulting Numbers: [91, 26, 28]
Generated Node #0,2: 93:[91, 26, 28] Operation: 83-55=28
Exploring Operation: 26+55=81, Resulting Numbers: [83, 91, 81]
Generated Node #0,3: 93:[83, 91, 81] Operation: 26+55=81
Moving to Node #0,2
Current State: 93:[91, 26, 28], Operations: ['83-55=28']
Exploring Operation: 91+26=117, Resulting Numbers: [28, 117]
Generated Node #0,2,0: 93:[28, 117] Operation: 91+26=117
Exploring Operation: 91-26=65, Resulting Numbers: [28, 65]
Generated Node #0,2,1: 93:[28, 65] Operation: 91-26=65
Exploring Operation: 28-26=2, Resulting Numbers: [91, 2]
Generated Node #0,2,2: 93:[91, 2] Operation: 28-26=2
Exploring Operation: 26+28=54, Resulting Numbers: [91, 54]
Generated Node #0,2,3: 93:[91, 54] Operation: 26+28=54
Moving to Node #0,0
Current State: 93:[83, 91, 29], Operations: ['55-26=29']
Exploring Operation: 91-83=8, Resulting Numbers: [29, 8]
Generated Node #0,0,0: 93:[29, 8] Operation: 91-83=8
Exploring Operation: 91+29=120, Resulting Numbers: [83, 120]
Generated Node #0,0,1: 93:[83, 120] Operation: 91+29=120
Exploring Operation: 83-29=54, Resulting Numbers: [91, 54]
Generated Node #0,0,2: 93:[91, 54] Operation: 83-29=54
Exploring Operation: 83+29=112, Resulting Numbers: [91, 112]
Generated Node #0,0,3: 93:[91, 112] Operation: 83+29=112
Moving to Node #0,1
Current State: 93:[83, 26, 36], Operations: ['91-55=36']
Exploring Operation: 83-26=57, Resulting Numbers: [36, 57]
Generated Node #0,1,0: 93:[36, 57] Operation: 83-26=57
Exploring Operation: 83-36=47, Resulting Numbers: [26, 47]
Generated Node #0,1,1: 93:[26, 47] Operation: 83-36=47
Exploring Operation: 83+26=109, Resulting Numbers: [36, 109]
Generated Node #0,1,2: 93:[36, 109] Operation: 83+26=109
Exploring Operation: 36-26=10, Resulting Numbers: [83, 10]
Generated Node #0,1,3: 93:[83, 10] Operation: 36-26=10
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 93:[83, 10], Operations: ['91-55=36', '36-26=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[83, 91, 26, 55], Operations: []
Exploring Operation: 91-55=36, Resulting Numbers: [83, 26, 36]
Generated Node #0,1: 93:[83, 26, 36] Operation: 91-55=36
Moving to Node #0,1
Current State: 93:[83, 26, 36], Operations: ['91-55=36']
Exploring Operation: 36-26=10, Resulting Numbers: [83, 10]
Generated Node #0,1,3: 93:[83, 10] Operation: 36-26=10
Moving to Node #0,1,3
Current State: 93:[83, 10], Operations: ['91-55=36', '36-26=10']
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
84,
27,
88,
13
] | 44 | [
"84-27=57",
"88+13=101",
"101-57=44"
] | Current State: 44:[84, 27, 88, 13], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [88, 13, 57]
Generated Node #2: [88, 13, 57] from Operation: 84-27=57
Current State: 44:[88, 13, 57], Operations: ['84-27=57']
Exploring Operation: 88+13=101, Resulting Numbers: [57, 101]
Generated Node #3: [57, 101] from Operation: 88+13=101
Current State: 44:[57, 101], Operations: ['84-27=57', '88+13=101']
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[84, 27, 88, 13], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [84, 13, 61]
Generated Node #0,0: 44:[84, 13, 61] Operation: 88-27=61
Exploring Operation: 84-27=57, Resulting Numbers: [88, 13, 57]
Generated Node #0,1: 44:[88, 13, 57] Operation: 84-27=57
Exploring Operation: 88-84=4, Resulting Numbers: [27, 13, 4]
Generated Node #0,2: 44:[27, 13, 4] Operation: 88-84=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 44:[27, 13, 4], Operations: ['88-84=4']
Exploring Operation: 27+13=40, Resulting Numbers: [4, 40]
Generated Node #0,2,0: 44:[4, 40] Operation: 27+13=40
Exploring Operation: 27-4=23, Resulting Numbers: [13, 23]
Generated Node #0,2,1: 44:[13, 23] Operation: 27-4=23
Exploring Operation: 27-13=14, Resulting Numbers: [4, 14]
Generated Node #0,2,2: 44:[4, 14] Operation: 27-13=14
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 44:[13, 23], Operations: ['88-84=4', '27-4=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,44 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 44:[4, 14], Operations: ['88-84=4', '27-13=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,44 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,44 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 44:[4, 40], Operations: ['88-84=4', '27+13=40']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,44 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,44 unequal: No Solution
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[84, 27, 88, 13], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [27, 13, 4]
Generated Node #0,2: 44:[27, 13, 4] Operation: 88-84=4
Moving to Node #0,2
Current State: 44:[27, 13, 4], Operations: ['88-84=4']
Exploring Operation: 27+13=40, Resulting Numbers: [4, 40]
Generated Node #0,2,0: 44:[4, 40] Operation: 27+13=40
Moving to Node #0,2,0
Current State: 44:[4, 40], Operations: ['88-84=4', '27+13=40']
Exploring Operation: 4+40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_3 | mult_heuristic |
[
23,
2,
76,
54
] | 26 | [
"76-23=53",
"54/2=27",
"53-27=26"
] | Current State: 26:[23, 2, 76, 54], Operations: []
Exploring Operation: 76-23=53, Resulting Numbers: [2, 54, 53]
Generated Node #2: [2, 54, 53] from Operation: 76-23=53
Current State: 26:[2, 54, 53], Operations: ['76-23=53']
Exploring Operation: 54/2=27, Resulting Numbers: [53, 27]
Generated Node #3: [53, 27] from Operation: 54/2=27
Current State: 26:[53, 27], Operations: ['76-23=53', '54/2=27']
Exploring Operation: 53-27=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[23, 2, 76, 54], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [23, 2, 22]
Generated Node #0,0: 26:[23, 2, 22] Operation: 76-54=22
Exploring Operation: 76/2=38, Resulting Numbers: [23, 54, 38]
Generated Node #0,1: 26:[23, 54, 38] Operation: 76/2=38
Moving to Node #0,0
Current State: 26:[23, 2, 22], Operations: ['76-54=22']
Exploring Operation: 23+2=25, Resulting Numbers: [22, 25]
Generated Node #0,0,0: 26:[22, 25] Operation: 23+2=25
Exploring Operation: 23-22=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 26:[2, 1] Operation: 23-22=1
Moving to Node #0,1
Current State: 26:[23, 54, 38], Operations: ['76/2=38']
Exploring Operation: 54-23=31, Resulting Numbers: [38, 31]
Generated Node #0,1,0: 26:[38, 31] Operation: 54-23=31
Exploring Operation: 54-38=16, Resulting Numbers: [23, 16]
Generated Node #0,1,1: 26:[23, 16] Operation: 54-38=16
Moving to Node #0,0,1
Current State: 26:[2, 1], Operations: ['76-54=22', '23-22=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,26 unequal: No Solution
Moving to Node #0,0,0
Current State: 26:[22, 25], Operations: ['76-54=22', '23+2=25']
Exploring Operation: 22+25=47, Resulting Numbers: [47]
47,26 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Moving to Node #0,1,1
Current State: 26:[23, 16], Operations: ['76/2=38', '54-38=16']
Exploring Operation: 23-16=7, Resulting Numbers: [7]
7,26 unequal: No Solution
Exploring Operation: 23+16=39, Resulting Numbers: [39]
39,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[38, 31], Operations: ['76/2=38', '54-23=31']
Exploring Operation: 38+31=69, Resulting Numbers: [69]
69,26 unequal: No Solution
Exploring Operation: 38-31=7, Resulting Numbers: [7]
7,26 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
25,
7,
3,
80
] | 20 | [
"25+3=28",
"7*80=560",
"560/28=20"
] | Current State: 20:[25, 7, 3, 80], Operations: []
Exploring Operation: 25+3=28, Resulting Numbers: [7, 80, 28]
Generated Node #2: [7, 80, 28] from Operation: 25+3=28
Current State: 20:[7, 80, 28], Operations: ['25+3=28']
Exploring Operation: 7*80=560, Resulting Numbers: [28, 560]
Generated Node #3: [28, 560] from Operation: 7*80=560
Current State: 20:[28, 560], Operations: ['25+3=28', '7*80=560']
Exploring Operation: 560/28=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[25, 7, 3, 80], Operations: []
Exploring Operation: 80-25=55, Resulting Numbers: [7, 3, 55]
Generated Node #0,0: 20:[7, 3, 55] Operation: 80-25=55
Moving to Node #0,0
Current State: 20:[7, 3, 55], Operations: ['80-25=55']
Exploring Operation: 55-7=48, Resulting Numbers: [3, 48]
Generated Node #0,0,0: 20:[3, 48] Operation: 55-7=48
Moving to Node #0,0,0
Current State: 20:[3, 48], Operations: ['80-25=55', '55-7=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,20 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
25,
5,
26,
31
] | 35 | [
"25+5=30",
"31-26=5",
"30+5=35"
] | Current State: 35:[25, 5, 26, 31], Operations: []
Exploring Operation: 25+5=30, Resulting Numbers: [26, 31, 30]
Generated Node #2: [26, 31, 30] from Operation: 25+5=30
Current State: 35:[26, 31, 30], Operations: ['25+5=30']
Exploring Operation: 31-26=5, Resulting Numbers: [30, 5]
Generated Node #3: [30, 5] from Operation: 31-26=5
Current State: 35:[30, 5], Operations: ['25+5=30', '31-26=5']
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[25, 5, 26, 31], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [5, 26, 6]
Generated Node #0,0: 35:[5, 26, 6] Operation: 31-25=6
Exploring Operation: 25/5=5, Resulting Numbers: [26, 31, 5]
Generated Node #0,1: 35:[26, 31, 5] Operation: 25/5=5
Exploring Operation: 26-25=1, Resulting Numbers: [5, 31, 1]
Generated Node #0,2: 35:[5, 31, 1] Operation: 26-25=1
Exploring Operation: 31-26=5, Resulting Numbers: [25, 5, 5]
Generated Node #0,3: 35:[25, 5, 5] Operation: 31-26=5
Moving to Node #0,2
Current State: 35:[5, 31, 1], Operations: ['26-25=1']
Exploring Operation: 5*1=5, Resulting Numbers: [31, 5]
Generated Node #0,2,0: 35:[31, 5] Operation: 5*1=5
Exploring Operation: 31+1=32, Resulting Numbers: [5, 32]
Generated Node #0,2,1: 35:[5, 32] Operation: 31+1=32
Exploring Operation: 5/1=5, Resulting Numbers: [31, 5]
Generated Node #0,2,2: 35:[31, 5] Operation: 5/1=5
Exploring Operation: 31*1=31, Resulting Numbers: [5, 31]
Generated Node #0,2,3: 35:[5, 31] Operation: 31*1=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 35:[5, 32], Operations: ['26-25=1', '31+1=32']
Exploring Operation: 5+32=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 5*32=160, Resulting Numbers: [160]
160,35 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,35 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:[31, 5], Operations: ['26-25=1', '5*1=5']
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,35 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 35:[31, 5], Operations: ['26-25=1', '5/1=5']
Exploring Operation: 31*5=155, Resulting Numbers: [155]
155,35 unequal: No Solution
Exploring Operation: 31+5=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 35:[5, 31], Operations: ['26-25=1', '31*1=31']
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,35 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: 35:[25, 5, 5], Operations: ['31-26=5']
Exploring Operation: 25+5=30, Resulting Numbers: [5, 30]
Generated Node #0,3,0: 35:[5, 30] Operation: 25+5=30
Exploring Operation: 25+5=30, Resulting Numbers: [5, 30]
Generated Node #0,3,1: 35:[5, 30] Operation: 25+5=30
Exploring Operation: 25/5=5, Resulting Numbers: [5, 5]
Generated Node #0,3,2: 35:[5, 5] Operation: 25/5=5
Exploring Operation: 25/5=5, Resulting Numbers: [5, 5]
Generated Node #0,3,3: 35:[5, 5] Operation: 25/5=5
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[5, 5], Operations: ['31-26=5', '25/5=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,35 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,35 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:[5, 5], Operations: ['31-26=5', '25/5=5']
Exploring Operation: 5+5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 5-5=0, Resulting Numbers: [0]
0,35 unequal: No Solution
Exploring Operation: 5/5=1, Resulting Numbers: [1]
1,35 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:[5, 30], Operations: ['31-26=5', '25+5=30']
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,35 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,35 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[25, 5, 26, 31], Operations: []
Exploring Operation: 31-26=5, Resulting Numbers: [25, 5, 5]
Generated Node #0,3: 35:[25, 5, 5] Operation: 31-26=5
Moving to Node #0,3
Current State: 35:[25, 5, 5], Operations: ['31-26=5']
Exploring Operation: 25+5=30, Resulting Numbers: [5, 30]
Generated Node #0,3,0: 35:[5, 30] Operation: 25+5=30
Moving to Node #0,3,0
Current State: 35:[5, 30], Operations: ['31-26=5', '25+5=30']
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_4 | mult_heuristic |
[
67,
85,
92,
25
] | 86 | [
"92-67=25",
"25/25=1",
"85+1=86"
] | Current State: 86:[67, 85, 92, 25], Operations: []
Exploring Operation: 92-67=25, Resulting Numbers: [85, 25, 25]
Generated Node #2: [85, 25, 25] from Operation: 92-67=25
Current State: 86:[85, 25, 25], Operations: ['92-67=25']
Exploring Operation: 25/25=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 25/25=1
Current State: 86:[85, 1], Operations: ['92-67=25', '25/25=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[67, 85, 92, 25], Operations: []
Exploring Operation: 67+25=92, Resulting Numbers: [85, 92, 92]
Generated Node #0,0: 86:[85, 92, 92] Operation: 67+25=92
Exploring Operation: 67-25=42, Resulting Numbers: [85, 92, 42]
Generated Node #0,1: 86:[85, 92, 42] Operation: 67-25=42
Exploring Operation: 92-67=25, Resulting Numbers: [85, 25, 25]
Generated Node #0,2: 86:[85, 25, 25] Operation: 92-67=25
Moving to Node #0,1
Current State: 86:[85, 92, 42], Operations: ['67-25=42']
Exploring Operation: 92-85=7, Resulting Numbers: [42, 7]
Generated Node #0,1,0: 86:[42, 7] Operation: 92-85=7
Exploring Operation: 92-42=50, Resulting Numbers: [85, 50]
Generated Node #0,1,1: 86:[85, 50] Operation: 92-42=50
Exploring Operation: 85-42=43, Resulting Numbers: [92, 43]
Generated Node #0,1,2: 86:[92, 43] Operation: 85-42=43
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[42, 7], Operations: ['67-25=42', '92-85=7']
Exploring Operation: 42+7=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 42-7=35, Resulting Numbers: [35]
35,86 unequal: No Solution
Exploring Operation: 42/7=6, Resulting Numbers: [6]
6,86 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 #0,1,2
Current State: 86:[92, 43], Operations: ['67-25=42', '85-42=43']
Exploring Operation: 92*43=3956, Resulting Numbers: [3956]
3956,86 unequal: No Solution
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Exploring Operation: 92+43=135, Resulting Numbers: [135]
135,86 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 #0,1,1
Current State: 86:[85, 50], Operations: ['67-25=42', '92-42=50']
Exploring Operation: 85+50=135, Resulting Numbers: [135]
135,86 unequal: No Solution
Exploring Operation: 85*50=4250, Resulting Numbers: [4250]
4250,86 unequal: No Solution
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,86 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: 86:[85, 92, 92], Operations: ['67+25=92']
Exploring Operation: 92-92=0, Resulting Numbers: [85, 0]
Generated Node #0,0,0: 86:[85, 0] Operation: 92-92=0
Exploring Operation: 92-85=7, Resulting Numbers: [92, 7]
Generated Node #0,0,1: 86:[92, 7] Operation: 92-85=7
Exploring Operation: 92/92=1, Resulting Numbers: [85, 1]
Generated Node #0,0,2: 86:[85, 1] Operation: 92/92=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 86:[85, 1], Operations: ['67+25=92', '92/92=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,86 unequal: No Solution
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[67, 85, 92, 25], Operations: []
Exploring Operation: 67+25=92, Resulting Numbers: [85, 92, 92]
Generated Node #0,0: 86:[85, 92, 92] Operation: 67+25=92
Moving to Node #0,0
Current State: 86:[85, 92, 92], Operations: ['67+25=92']
Exploring Operation: 92/92=1, Resulting Numbers: [85, 1]
Generated Node #0,0,2: 86:[85, 1] Operation: 92/92=1
Moving to Node #0,0,2
Current State: 86:[85, 1], Operations: ['67+25=92', '92/92=1']
Exploring Operation: 85+1=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_3 | mult_heuristic |
[
88,
44,
47,
83
] | 65 | [
"88/44=2",
"47+83=130",
"130/2=65"
] | Current State: 65:[88, 44, 47, 83], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [47, 83, 2]
Generated Node #2: [47, 83, 2] from Operation: 88/44=2
Current State: 65:[47, 83, 2], Operations: ['88/44=2']
Exploring Operation: 47+83=130, Resulting Numbers: [2, 130]
Generated Node #3: [2, 130] from Operation: 47+83=130
Current State: 65:[2, 130], Operations: ['88/44=2', '47+83=130']
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[88, 44, 47, 83], Operations: []
Exploring Operation: 47-44=3, Resulting Numbers: [88, 83, 3]
Generated Node #0,0: 65:[88, 83, 3] Operation: 47-44=3
Exploring Operation: 88/44=2, Resulting Numbers: [47, 83, 2]
Generated Node #0,1: 65:[47, 83, 2] Operation: 88/44=2
Exploring Operation: 88-83=5, Resulting Numbers: [44, 47, 5]
Generated Node #0,2: 65:[44, 47, 5] Operation: 88-83=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[47, 83, 2], Operations: ['88/44=2']
Exploring Operation: 47+2=49, Resulting Numbers: [83, 49]
Generated Node #0,1,0: 65:[83, 49] Operation: 47+2=49
Exploring Operation: 83-47=36, Resulting Numbers: [2, 36]
Generated Node #0,1,1: 65:[2, 36] Operation: 83-47=36
Exploring Operation: 83-2=81, Resulting Numbers: [47, 81]
Generated Node #0,1,2: 65:[47, 81] Operation: 83-2=81
Moving to Node #0,1,1
Current State: 65:[2, 36], Operations: ['88/44=2', '83-47=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,65 unequal: No Solution
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,65 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[83, 49], Operations: ['88/44=2', '47+2=49']
Exploring Operation: 83-49=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 83*49=4067, Resulting Numbers: [4067]
4067,65 unequal: No Solution
Exploring Operation: 83+49=132, Resulting Numbers: [132]
132,65 unequal: No Solution
Moving to Node #0,1,2
Current State: 65:[47, 81], Operations: ['88/44=2', '83-2=81']
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,65 unequal: No Solution
Exploring Operation: 47+81=128, Resulting Numbers: [128]
128,65 unequal: No Solution
Exploring Operation: 47*81=3807, Resulting Numbers: [3807]
3807,65 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 #0,2
Current State: 65:[44, 47, 5], Operations: ['88-83=5']
Exploring Operation: 44+47=91, Resulting Numbers: [5, 91]
Generated Node #0,2,0: 65:[5, 91] Operation: 44+47=91
Exploring Operation: 44+5=49, Resulting Numbers: [47, 49]
Generated Node #0,2,1: 65:[47, 49] Operation: 44+5=49
Exploring Operation: 47-44=3, Resulting Numbers: [5, 3]
Generated Node #0,2,2: 65:[5, 3] Operation: 47-44=3
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[5, 3], Operations: ['88-83=5', '47-44=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,65 unequal: No Solution
No 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: 65:[5, 91], Operations: ['88-83=5', '44+47=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,65 unequal: No Solution
Exploring Operation: 5*91=455, Resulting Numbers: [455]
455,65 unequal: No Solution
No 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: 65:[47, 49], Operations: ['88-83=5', '44+5=49']
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,65 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,65 unequal: No Solution
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,65 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: 65:[88, 83, 3], Operations: ['47-44=3']
Exploring Operation: 88-83=5, Resulting Numbers: [3, 5]
Generated Node #0,0,0: 65:[3, 5] Operation: 88-83=5
Exploring Operation: 83-3=80, Resulting Numbers: [88, 80]
Generated Node #0,0,1: 65:[88, 80] Operation: 83-3=80
Exploring Operation: 88-3=85, Resulting Numbers: [83, 85]
Generated Node #0,0,2: 65:[83, 85] Operation: 88-3=85
Moving to Node #0,0,0
Current State: 65:[3, 5], Operations: ['47-44=3', '88-83=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[88, 80], Operations: ['47-44=3', '83-3=80']
Exploring Operation: 88*80=7040, Resulting Numbers: [7040]
7040,65 unequal: No Solution
Exploring Operation: 88+80=168, Resulting Numbers: [168]
168,65 unequal: No Solution
Exploring Operation: 88-80=8, Resulting Numbers: [8]
8,65 unequal: No Solution
Moving to Node #0,0,2
Current State: 65:[83, 85], Operations: ['47-44=3', '88-3=85']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,65 unequal: No Solution
Exploring Operation: 83*85=7055, Resulting Numbers: [7055]
7055,65 unequal: No Solution
Exploring Operation: 83+85=168, Resulting Numbers: [168]
168,65 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 |
[
23,
1,
59,
10
] | 27 | [
"23-1=22",
"59-10=49",
"49-22=27"
] | Current State: 27:[23, 1, 59, 10], Operations: []
Exploring Operation: 23-1=22, Resulting Numbers: [59, 10, 22]
Generated Node #2: [59, 10, 22] from Operation: 23-1=22
Current State: 27:[59, 10, 22], Operations: ['23-1=22']
Exploring Operation: 59-10=49, Resulting Numbers: [22, 49]
Generated Node #3: [22, 49] from Operation: 59-10=49
Current State: 27:[22, 49], Operations: ['23-1=22', '59-10=49']
Exploring Operation: 49-22=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[23, 1, 59, 10], Operations: []
Exploring Operation: 23+1=24, Resulting Numbers: [59, 10, 24]
Generated Node #0,0: 27:[59, 10, 24] Operation: 23+1=24
Exploring Operation: 59-10=49, Resulting Numbers: [23, 1, 49]
Generated Node #0,1: 27:[23, 1, 49] Operation: 59-10=49
Exploring Operation: 59-23=36, Resulting Numbers: [1, 10, 36]
Generated Node #0,2: 27:[1, 10, 36] Operation: 59-23=36
Moving to Node #0,2
Current State: 27:[1, 10, 36], Operations: ['59-23=36']
Exploring Operation: 10-1=9, Resulting Numbers: [36, 9]
Generated Node #0,2,0: 27:[36, 9] Operation: 10-1=9
Exploring Operation: 36-1=35, Resulting Numbers: [10, 35]
Generated Node #0,2,1: 27:[10, 35] Operation: 36-1=35
Exploring Operation: 36-10=26, Resulting Numbers: [1, 26]
Generated Node #0,2,2: 27:[1, 26] Operation: 36-10=26
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 27:[1, 26], Operations: ['59-23=36', '36-10=26']
Exploring Operation: 26/1=26, Resulting Numbers: [26]
26,27 unequal: No Solution
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[23, 1, 59, 10], Operations: []
Exploring Operation: 59-23=36, Resulting Numbers: [1, 10, 36]
Generated Node #0,2: 27:[1, 10, 36] Operation: 59-23=36
Moving to Node #0,2
Current State: 27:[1, 10, 36], Operations: ['59-23=36']
Exploring Operation: 36-10=26, Resulting Numbers: [1, 26]
Generated Node #0,2,2: 27:[1, 26] Operation: 36-10=26
Moving to Node #0,2,2
Current State: 27:[1, 26], Operations: ['59-23=36', '36-10=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
43,
28,
52,
7
] | 12 | [
"43+28=71",
"52+7=59",
"71-59=12"
] | Current State: 12:[43, 28, 52, 7], Operations: []
Exploring Operation: 43+28=71, Resulting Numbers: [52, 7, 71]
Generated Node #2: [52, 7, 71] from Operation: 43+28=71
Current State: 12:[52, 7, 71], Operations: ['43+28=71']
Exploring Operation: 52+7=59, Resulting Numbers: [71, 59]
Generated Node #3: [71, 59] from Operation: 52+7=59
Current State: 12:[71, 59], Operations: ['43+28=71', '52+7=59']
Exploring Operation: 71-59=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[43, 28, 52, 7], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [28, 7, 9]
Generated Node #0,0: 12:[28, 7, 9] Operation: 52-43=9
Exploring Operation: 43-28=15, Resulting Numbers: [52, 7, 15]
Generated Node #0,1: 12:[52, 7, 15] Operation: 43-28=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[28, 7, 9], Operations: ['52-43=9']
Exploring Operation: 28-9=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 12:[7, 19] Operation: 28-9=19
Exploring Operation: 28/7=4, Resulting Numbers: [9, 4]
Generated Node #0,0,1: 12:[9, 4] Operation: 28/7=4
Moving to Node #0,0,1
Current State: 12:[9, 4], Operations: ['52-43=9', '28/7=4']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 9+4=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[7, 19], Operations: ['52-43=9', '28-9=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[43, 28, 52, 7], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [28, 7, 9]
Generated Node #0,0: 12:[28, 7, 9] Operation: 52-43=9
Moving to Node #0,0
Current State: 12:[28, 7, 9], Operations: ['52-43=9']
Exploring Operation: 28-9=19, Resulting Numbers: [7, 19]
Generated Node #0,0,0: 12:[7, 19] Operation: 28-9=19
Moving to Node #0,0,0
Current State: 12:[7, 19], Operations: ['52-43=9', '28-9=19']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
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