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 |
|---|---|---|---|---|---|---|---|---|
[
25,
5,
60,
88
] | 91 | [
"25-5=20",
"60/20=3",
"88+3=91"
] | Current State: 91:[25, 5, 60, 88], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [60, 88, 20]
Generated Node #2: [60, 88, 20] from Operation: 25-5=20
Current State: 91:[60, 88, 20], Operations: ['25-5=20']
Exploring Operation: 60/20=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 60/20=3
Current State: 91:[88, 3], Operations: ['25-5=20', '60/20=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[25, 5, 60, 88], Operations: []
Exploring Operation: 25+60=85, Resulting Numbers: [5, 88, 85]
Generated Node #0,0: 91:[5, 88, 85] Operation: 25+60=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[5, 88, 85], Operations: ['25+60=85']
Exploring Operation: 5+85=90, Resulting Numbers: [88, 90]
Generated Node #0,0,0: 91:[88, 90] Operation: 5+85=90
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[88, 90], Operations: ['25+60=85', '5+85=90']
Exploring Operation: 90-88=2, Resulting Numbers: [2]
2,91 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_1 | mult_heuristic |
[
38,
78,
15,
7
] | 83 | [
"38-15=23",
"7*23=161",
"161-78=83"
] | Current State: 83:[38, 78, 15, 7], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [78, 7, 23]
Generated Node #2: [78, 7, 23] from Operation: 38-15=23
Current State: 83:[78, 7, 23], Operations: ['38-15=23']
Exploring Operation: 7*23=161, Resulting Numbers: [78, 161]
Generated Node #3: [78, 161] from Operation: 7*23=161
Current State: 83:[78, 161], Operations: ['38-15=23', '7*23=161']
Exploring Operation: 161-78=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[38, 78, 15, 7], Operations: []
Exploring Operation: 15*7=105, Resulting Numbers: [38, 78, 105]
Generated Node #0,0: 83:[38, 78, 105] Operation: 15*7=105
Exploring Operation: 15+7=22, Resulting Numbers: [38, 78, 22]
Generated Node #0,1: 83:[38, 78, 22] Operation: 15+7=22
Exploring Operation: 38+15=53, Resulting Numbers: [78, 7, 53]
Generated Node #0,2: 83:[78, 7, 53] Operation: 38+15=53
Exploring Operation: 38+7=45, Resulting Numbers: [78, 15, 45]
Generated Node #0,3: 83:[78, 15, 45] Operation: 38+7=45
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[38, 78, 105], Operations: ['15*7=105']
Exploring Operation: 38+105=143, Resulting Numbers: [78, 143]
Generated Node #0,0,0: 83:[78, 143] Operation: 38+105=143
Exploring Operation: 78-38=40, Resulting Numbers: [105, 40]
Generated Node #0,0,1: 83:[105, 40] Operation: 78-38=40
Exploring Operation: 38+78=116, Resulting Numbers: [105, 116]
Generated Node #0,0,2: 83:[105, 116] Operation: 38+78=116
Exploring Operation: 105-38=67, Resulting Numbers: [78, 67]
Generated Node #0,0,3: 83:[78, 67] Operation: 105-38=67
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[78, 67], Operations: ['15*7=105', '105-38=67']
Exploring Operation: 78*67=5226, Resulting Numbers: [5226]
5226,83 unequal: No Solution
Exploring Operation: 78-67=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 78+67=145, Resulting Numbers: [145]
145,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[105, 116], Operations: ['15*7=105', '38+78=116']
Exploring Operation: 105+116=221, Resulting Numbers: [221]
221,83 unequal: No Solution
Exploring Operation: 105*116=12180, Resulting Numbers: [12180]
12180,83 unequal: No Solution
Exploring Operation: 116-105=11, Resulting Numbers: [11]
11,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[78, 143], Operations: ['15*7=105', '38+105=143']
Exploring Operation: 143-78=65, Resulting Numbers: [65]
65,83 unequal: No Solution
Exploring Operation: 78*143=11154, Resulting Numbers: [11154]
11154,83 unequal: No Solution
Exploring Operation: 78+143=221, Resulting Numbers: [221]
221,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[105, 40], Operations: ['15*7=105', '78-38=40']
Exploring Operation: 105*40=4200, Resulting Numbers: [4200]
4200,83 unequal: No Solution
Exploring Operation: 105+40=145, Resulting Numbers: [145]
145,83 unequal: No Solution
Exploring Operation: 105-40=65, Resulting Numbers: [65]
65,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[38, 78, 22], Operations: ['15+7=22']
Exploring Operation: 38-22=16, Resulting Numbers: [78, 16]
Generated Node #0,1,0: 83:[78, 16] Operation: 38-22=16
Exploring Operation: 78-22=56, Resulting Numbers: [38, 56]
Generated Node #0,1,1: 83:[38, 56] Operation: 78-22=56
Exploring Operation: 78+22=100, Resulting Numbers: [38, 100]
Generated Node #0,1,2: 83:[38, 100] Operation: 78+22=100
Exploring Operation: 38+22=60, Resulting Numbers: [78, 60]
Generated Node #0,1,3: 83:[78, 60] Operation: 38+22=60
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[78, 60], Operations: ['15+7=22', '38+22=60']
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[38, 100], Operations: ['15+7=22', '78+22=100']
Exploring Operation: 100-38=62, Resulting Numbers: [62]
62,83 unequal: No Solution
Exploring Operation: 38*100=3800, Resulting Numbers: [3800]
3800,83 unequal: No Solution
Exploring Operation: 38+100=138, Resulting Numbers: [138]
138,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[78, 16], Operations: ['15+7=22', '38-22=16']
Exploring Operation: 78*16=1248, Resulting Numbers: [1248]
1248,83 unequal: No Solution
Exploring Operation: 78+16=94, Resulting Numbers: [94]
94,83 unequal: No Solution
Exploring Operation: 78-16=62, Resulting Numbers: [62]
62,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[38, 56], Operations: ['15+7=22', '78-22=56']
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,83 unequal: No Solution
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,83 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[78, 7, 53], Operations: ['38+15=53']
Exploring Operation: 78+7=85, Resulting Numbers: [53, 85]
Generated Node #0,2,0: 83:[53, 85] Operation: 78+7=85
Exploring Operation: 53-7=46, Resulting Numbers: [78, 46]
Generated Node #0,2,1: 83:[78, 46] Operation: 53-7=46
Exploring Operation: 78-7=71, Resulting Numbers: [53, 71]
Generated Node #0,2,2: 83:[53, 71] Operation: 78-7=71
Exploring Operation: 7+53=60, Resulting Numbers: [78, 60]
Generated Node #0,2,3: 83:[78, 60] Operation: 7+53=60
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 83:[78, 60], Operations: ['38+15=53', '7+53=60']
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 83:[53, 85], Operations: ['38+15=53', '78+7=85']
Exploring Operation: 85-53=32, Resulting Numbers: [32]
32,83 unequal: No Solution
Exploring Operation: 53+85=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 53*85=4505, Resulting Numbers: [4505]
4505,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 83:[78, 46], Operations: ['38+15=53', '53-7=46']
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,83 unequal: No Solution
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,83 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 83:[53, 71], Operations: ['38+15=53', '78-7=71']
Exploring Operation: 53+71=124, Resulting Numbers: [124]
124,83 unequal: No Solution
Exploring Operation: 53*71=3763, Resulting Numbers: [3763]
3763,83 unequal: No Solution
Exploring Operation: 71-53=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[78, 15, 45], Operations: ['38+7=45']
Exploring Operation: 78-15=63, Resulting Numbers: [45, 63]
Generated Node #0,3,0: 83:[45, 63] Operation: 78-15=63
Exploring Operation: 78+15=93, Resulting Numbers: [45, 93]
Generated Node #0,3,1: 83:[45, 93] Operation: 78+15=93
Exploring Operation: 15+45=60, Resulting Numbers: [78, 60]
Generated Node #0,3,2: 83:[78, 60] Operation: 15+45=60
Exploring Operation: 45-15=30, Resulting Numbers: [78, 30]
Generated Node #0,3,3: 83:[78, 30] Operation: 45-15=30
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[78, 60], Operations: ['38+7=45', '15+45=60']
Exploring Operation: 78+60=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 78*60=4680, Resulting Numbers: [4680]
4680,83 unequal: No Solution
Exploring Operation: 78-60=18, Resulting Numbers: [18]
18,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[45, 93], Operations: ['38+7=45', '78+15=93']
Exploring Operation: 45+93=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 45*93=4185, Resulting Numbers: [4185]
4185,83 unequal: No Solution
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[45, 63], Operations: ['38+7=45', '78-15=63']
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,83 unequal: No Solution
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,83 unequal: No Solution
Exploring Operation: 45*63=2835, Resulting Numbers: [2835]
2835,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[78, 30], Operations: ['38+7=45', '45-15=30']
Exploring Operation: 78+30=108, Resulting Numbers: [108]
108,83 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,83 unequal: No Solution
Exploring Operation: 78*30=2340, Resulting Numbers: [2340]
2340,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
41,
93,
47,
97
] | 22 | [
"41+47=88",
"97-93=4",
"88/4=22"
] | Current State: 22:[41, 93, 47, 97], Operations: []
Exploring Operation: 41+47=88, Resulting Numbers: [93, 97, 88]
Generated Node #2: [93, 97, 88] from Operation: 41+47=88
Current State: 22:[93, 97, 88], Operations: ['41+47=88']
Exploring Operation: 97-93=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 97-93=4
Current State: 22:[88, 4], Operations: ['41+47=88', '97-93=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[41, 93, 47, 97], Operations: []
Exploring Operation: 93-41=52, Resulting Numbers: [47, 97, 52]
Generated Node #0,0: 22:[47, 97, 52] Operation: 93-41=52
Exploring Operation: 97-93=4, Resulting Numbers: [41, 47, 4]
Generated Node #0,1: 22:[41, 47, 4] Operation: 97-93=4
Exploring Operation: 93-47=46, Resulting Numbers: [41, 97, 46]
Generated Node #0,2: 22:[41, 97, 46] Operation: 93-47=46
Exploring Operation: 97-47=50, Resulting Numbers: [41, 93, 50]
Generated Node #0,3: 22:[41, 93, 50] Operation: 97-47=50
Moving to Node #0,1
Current State: 22:[41, 47, 4], Operations: ['97-93=4']
Exploring Operation: 41+4=45, Resulting Numbers: [47, 45]
Generated Node #0,1,0: 22:[47, 45] Operation: 41+4=45
Exploring Operation: 47-41=6, Resulting Numbers: [4, 6]
Generated Node #0,1,1: 22:[4, 6] Operation: 47-41=6
Exploring Operation: 47-4=43, Resulting Numbers: [41, 43]
Generated Node #0,1,2: 22:[41, 43] Operation: 47-4=43
Exploring Operation: 41-4=37, Resulting Numbers: [47, 37]
Generated Node #0,1,3: 22:[47, 37] Operation: 41-4=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 22:[4, 6], Operations: ['97-93=4', '47-41=6']
Exploring Operation: 4+6=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 4*6=24, Resulting Numbers: [24]
24,22 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 #0,1,2
Current State: 22:[41, 43], Operations: ['97-93=4', '47-4=43']
Exploring Operation: 41*43=1763, Resulting Numbers: [1763]
1763,22 unequal: No Solution
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,22 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 #0,1,3
Current State: 22:[47, 37], Operations: ['97-93=4', '41-4=37']
Exploring Operation: 47*37=1739, Resulting Numbers: [1739]
1739,22 unequal: No Solution
Exploring Operation: 47+37=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Exploring Operation: 47-37=10, Resulting Numbers: [10]
10,22 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 #0,1,0
Current State: 22:[47, 45], Operations: ['97-93=4', '41+4=45']
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 47*45=2115, Resulting Numbers: [2115]
2115,22 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: 22:[41, 93, 50], Operations: ['97-47=50']
Exploring Operation: 41+93=134, Resulting Numbers: [50, 134]
Generated Node #0,3,0: 22:[50, 134] Operation: 41+93=134
Exploring Operation: 93-41=52, Resulting Numbers: [50, 52]
Generated Node #0,3,1: 22:[50, 52] Operation: 93-41=52
Exploring Operation: 93-50=43, Resulting Numbers: [41, 43]
Generated Node #0,3,2: 22:[41, 43] Operation: 93-50=43
Exploring Operation: 50-41=9, Resulting Numbers: [93, 9]
Generated Node #0,3,3: 22:[93, 9] Operation: 50-41=9
Moving to Node #0,2
Current State: 22:[41, 97, 46], Operations: ['93-47=46']
Exploring Operation: 97-41=56, Resulting Numbers: [46, 56]
Generated Node #0,2,0: 22:[46, 56] Operation: 97-41=56
Exploring Operation: 46-41=5, Resulting Numbers: [97, 5]
Generated Node #0,2,1: 22:[97, 5] Operation: 46-41=5
Exploring Operation: 97-46=51, Resulting Numbers: [41, 51]
Generated Node #0,2,2: 22:[41, 51] Operation: 97-46=51
Exploring Operation: 41+97=138, Resulting Numbers: [46, 138]
Generated Node #0,2,3: 22:[46, 138] Operation: 41+97=138
Moving to Node #0,0
Current State: 22:[47, 97, 52], Operations: ['93-41=52']
Exploring Operation: 52-47=5, Resulting Numbers: [97, 5]
Generated Node #0,0,0: 22:[97, 5] Operation: 52-47=5
Exploring Operation: 97-52=45, Resulting Numbers: [47, 45]
Generated Node #0,0,1: 22:[47, 45] Operation: 97-52=45
Exploring Operation: 47+97=144, Resulting Numbers: [52, 144]
Generated Node #0,0,2: 22:[52, 144] Operation: 47+97=144
Exploring Operation: 97-47=50, Resulting Numbers: [52, 50]
Generated Node #0,0,3: 22:[52, 50] Operation: 97-47=50
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 22:[47, 45], Operations: ['93-41=52', '97-52=45']
Exploring Operation: 47-45=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 47+45=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 47*45=2115, Resulting Numbers: [2115]
2115,22 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 #0,0,3
Current State: 22:[52, 50], Operations: ['93-41=52', '97-47=50']
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,22 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,22 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 #0,0,0
Current State: 22:[97, 5], Operations: ['93-41=52', '52-47=5']
Exploring Operation: 97+5=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 97*5=485, Resulting Numbers: [485]
485,22 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 #0,0,2
Current State: 22:[52, 144], Operations: ['93-41=52', '47+97=144']
Exploring Operation: 144-52=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 52*144=7488, Resulting Numbers: [7488]
7488,22 unequal: No Solution
Exploring Operation: 52+144=196, Resulting Numbers: [196]
196,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,2
Current State: 22:[41, 43], Operations: ['97-47=50', '93-50=43']
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Exploring Operation: 41*43=1763, Resulting Numbers: [1763]
1763,22 unequal: No Solution
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[41, 51], Operations: ['93-47=46', '97-46=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[46, 56], Operations: ['93-47=46', '97-41=56']
Exploring Operation: 46+56=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 46*56=2576, Resulting Numbers: [2576]
2576,22 unequal: No Solution
Exploring Operation: 56-46=10, Resulting Numbers: [10]
10,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[50, 52], Operations: ['97-47=50', '93-41=52']
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,22 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[93, 9], Operations: ['97-47=50', '50-41=9']
Exploring Operation: 93*9=837, Resulting Numbers: [837]
837,22 unequal: No Solution
Exploring Operation: 93+9=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 93-9=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[97, 5], Operations: ['93-47=46', '46-41=5']
Exploring Operation: 97+5=102, Resulting Numbers: [102]
102,22 unequal: No Solution
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 97*5=485, Resulting Numbers: [485]
485,22 unequal: No Solution
Moving to Node #0,3,0
Current State: 22:[50, 134], Operations: ['97-47=50', '41+93=134']
Exploring Operation: 50+134=184, Resulting Numbers: [184]
184,22 unequal: No Solution
Exploring Operation: 50*134=6700, Resulting Numbers: [6700]
6700,22 unequal: No Solution
Exploring Operation: 134-50=84, Resulting Numbers: [84]
84,22 unequal: No Solution
Moving to Node #0,2,3
Current State: 22:[46, 138], Operations: ['93-47=46', '41+97=138']
Exploring Operation: 46+138=184, Resulting Numbers: [184]
184,22 unequal: No Solution
Exploring Operation: 138-46=92, Resulting Numbers: [92]
92,22 unequal: No Solution
Exploring Operation: 46*138=6348, Resulting Numbers: [6348]
6348,22 unequal: No Solution
Exploring Operation: 138/46=3, Resulting Numbers: [3]
3,22 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
5,
2,
67,
22
] | 33 | [
"22-5=17",
"2*17=34",
"67-34=33"
] | Current State: 33:[5, 2, 67, 22], Operations: []
Exploring Operation: 22-5=17, Resulting Numbers: [2, 67, 17]
Generated Node #2: [2, 67, 17] from Operation: 22-5=17
Current State: 33:[2, 67, 17], Operations: ['22-5=17']
Exploring Operation: 2*17=34, Resulting Numbers: [67, 34]
Generated Node #3: [67, 34] from Operation: 2*17=34
Current State: 33:[67, 34], Operations: ['22-5=17', '2*17=34']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[5, 2, 67, 22], Operations: []
Exploring Operation: 67-22=45, Resulting Numbers: [5, 2, 45]
Generated Node #0,0: 33:[5, 2, 45] Operation: 67-22=45
Moving to Node #0,0
Current State: 33:[5, 2, 45], Operations: ['67-22=45']
Exploring Operation: 45/5=9, Resulting Numbers: [2, 9]
Generated Node #0,0,0: 33:[2, 9] Operation: 45/5=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[2, 9], Operations: ['67-22=45', '45/5=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
95,
37,
95,
17
] | 55 | [
"95/95=1",
"37+17=54",
"1+54=55"
] | Current State: 55:[95, 37, 95, 17], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [37, 17, 1]
Generated Node #2: [37, 17, 1] from Operation: 95/95=1
Current State: 55:[37, 17, 1], Operations: ['95/95=1']
Exploring Operation: 37+17=54, Resulting Numbers: [1, 54]
Generated Node #3: [1, 54] from Operation: 37+17=54
Current State: 55:[1, 54], Operations: ['95/95=1', '37+17=54']
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[95, 37, 95, 17], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [37, 17, 1]
Generated Node #0,0: 55:[37, 17, 1] Operation: 95/95=1
Exploring Operation: 95-37=58, Resulting Numbers: [95, 17, 58]
Generated Node #0,1: 55:[95, 17, 58] Operation: 95-37=58
Exploring Operation: 95-37=58, Resulting Numbers: [95, 17, 58]
Generated Node #0,2: 55:[95, 17, 58] Operation: 95-37=58
Exploring Operation: 95-17=78, Resulting Numbers: [37, 95, 78]
Generated Node #0,3: 55:[37, 95, 78] Operation: 95-17=78
Exploring Operation: 95-95=0, Resulting Numbers: [37, 17, 0]
Generated Node #0,4: 55:[37, 17, 0] Operation: 95-95=0
Moving to Node #0,0
Current State: 55:[37, 17, 1], Operations: ['95/95=1']
Exploring Operation: 37-17=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 55:[1, 20] Operation: 37-17=20
Exploring Operation: 37+1=38, Resulting Numbers: [17, 38]
Generated Node #0,0,1: 55:[17, 38] Operation: 37+1=38
Exploring Operation: 37+17=54, Resulting Numbers: [1, 54]
Generated Node #0,0,2: 55:[1, 54] Operation: 37+17=54
Exploring Operation: 37*1=37, Resulting Numbers: [17, 37]
Generated Node #0,0,3: 55:[17, 37] Operation: 37*1=37
Exploring Operation: 17-1=16, Resulting Numbers: [37, 16]
Generated Node #0,0,4: 55:[37, 16] Operation: 17-1=16
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 55:[1, 54], Operations: ['95/95=1', '37+17=54']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 1*54=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[95, 37, 95, 17], Operations: []
Exploring Operation: 95/95=1, Resulting Numbers: [37, 17, 1]
Generated Node #0,0: 55:[37, 17, 1] Operation: 95/95=1
Moving to Node #0,0
Current State: 55:[37, 17, 1], Operations: ['95/95=1']
Exploring Operation: 37+17=54, Resulting Numbers: [1, 54]
Generated Node #0,0,2: 55:[1, 54] Operation: 37+17=54
Moving to Node #0,0,2
Current State: 55:[1, 54], Operations: ['95/95=1', '37+17=54']
Exploring Operation: 1+54=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | mult_heuristic |
[
42,
17,
87,
42
] | 71 | [
"42/42=1",
"87-17=70",
"1+70=71"
] | Current State: 71:[42, 17, 87, 42], Operations: []
Exploring Operation: 42/42=1, Resulting Numbers: [17, 87, 1]
Generated Node #2: [17, 87, 1] from Operation: 42/42=1
Current State: 71:[17, 87, 1], Operations: ['42/42=1']
Exploring Operation: 87-17=70, Resulting Numbers: [1, 70]
Generated Node #3: [1, 70] from Operation: 87-17=70
Current State: 71:[1, 70], Operations: ['42/42=1', '87-17=70']
Exploring Operation: 1+70=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[42, 17, 87, 42], Operations: []
Exploring Operation: 42+17=59, Resulting Numbers: [87, 42, 59]
Generated Node #0,0: 71:[87, 42, 59] Operation: 42+17=59
Moving to Node #0,0
Current State: 71:[87, 42, 59], Operations: ['42+17=59']
Exploring Operation: 87-42=45, Resulting Numbers: [59, 45]
Generated Node #0,0,0: 71:[59, 45] Operation: 87-42=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[59, 45], Operations: ['42+17=59', '87-42=45']
Exploring Operation: 59+45=104, Resulting Numbers: [104]
104,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
19,
11,
24,
36
] | 30 | [
"19+11=30",
"24+36=60",
"60-30=30"
] | Current State: 30:[19, 11, 24, 36], Operations: []
Exploring Operation: 19+11=30, Resulting Numbers: [24, 36, 30]
Generated Node #2: [24, 36, 30] from Operation: 19+11=30
Current State: 30:[24, 36, 30], Operations: ['19+11=30']
Exploring Operation: 24+36=60, Resulting Numbers: [30, 60]
Generated Node #3: [30, 60] from Operation: 24+36=60
Current State: 30:[30, 60], Operations: ['19+11=30', '24+36=60']
Exploring Operation: 60-30=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[19, 11, 24, 36], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [11, 36, 5]
Generated Node #0,0: 30:[11, 36, 5] Operation: 24-19=5
Exploring Operation: 36-24=12, Resulting Numbers: [19, 11, 12]
Generated Node #0,1: 30:[19, 11, 12] Operation: 36-24=12
Moving to Node #0,0
Current State: 30:[11, 36, 5], Operations: ['24-19=5']
Exploring Operation: 36-11=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 30:[5, 25] Operation: 36-11=25
Exploring Operation: 36-5=31, Resulting Numbers: [11, 31]
Generated Node #0,0,1: 30:[11, 31] Operation: 36-5=31
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 30:[11, 31], Operations: ['24-19=5', '36-5=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,30 unequal: No Solution
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 30:[5, 25], Operations: ['24-19=5', '36-11=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[19, 11, 24, 36], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [11, 36, 5]
Generated Node #0,0: 30:[11, 36, 5] Operation: 24-19=5
Moving to Node #0,0
Current State: 30:[11, 36, 5], Operations: ['24-19=5']
Exploring Operation: 36-11=25, Resulting Numbers: [5, 25]
Generated Node #0,0,0: 30:[5, 25] Operation: 36-11=25
Moving to Node #0,0,0
Current State: 30:[5, 25], Operations: ['24-19=5', '36-11=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_2 | sum_heuristic |
[
38,
35,
68,
54
] | 94 | [
"38-35=3",
"54*3=162",
"162-68=94"
] | Current State: 94:[38, 35, 68, 54], Operations: []
Exploring Operation: 38-35=3, Resulting Numbers: [68, 54, 3]
Generated Node #2: [68, 54, 3] from Operation: 38-35=3
Current State: 94:[68, 54, 3], Operations: ['38-35=3']
Exploring Operation: 54*3=162, Resulting Numbers: [68, 162]
Generated Node #3: [68, 162] from Operation: 54*3=162
Current State: 94:[68, 162], Operations: ['38-35=3', '54*3=162']
Exploring Operation: 162-68=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[38, 35, 68, 54], Operations: []
Exploring Operation: 35+68=103, Resulting Numbers: [38, 54, 103]
Generated Node #0,0: 94:[38, 54, 103] Operation: 35+68=103
Exploring Operation: 38-35=3, Resulting Numbers: [68, 54, 3]
Generated Node #0,1: 94:[68, 54, 3] Operation: 38-35=3
Exploring Operation: 68-35=33, Resulting Numbers: [38, 54, 33]
Generated Node #0,2: 94:[38, 54, 33] Operation: 68-35=33
Exploring Operation: 38+68=106, Resulting Numbers: [35, 54, 106]
Generated Node #0,3: 94:[35, 54, 106] Operation: 38+68=106
Moving to Node #0,0
Current State: 94:[38, 54, 103], Operations: ['35+68=103']
Exploring Operation: 54-38=16, Resulting Numbers: [103, 16]
Generated Node #0,0,0: 94:[103, 16] Operation: 54-38=16
Exploring Operation: 103-38=65, Resulting Numbers: [54, 65]
Generated Node #0,0,1: 94:[54, 65] Operation: 103-38=65
Exploring Operation: 38+54=92, Resulting Numbers: [103, 92]
Generated Node #0,0,2: 94:[103, 92] Operation: 38+54=92
Exploring Operation: 103-54=49, Resulting Numbers: [38, 49]
Generated Node #0,0,3: 94:[38, 49] Operation: 103-54=49
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 94:[103, 92], Operations: ['35+68=103', '38+54=92']
Exploring Operation: 103-92=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 103*92=9476, Resulting Numbers: [9476]
9476,94 unequal: No Solution
Exploring Operation: 103+92=195, Resulting Numbers: [195]
195,94 unequal: No Solution
No 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: 94:[38, 49], Operations: ['35+68=103', '103-54=49']
Exploring Operation: 49-38=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 38+49=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 38*49=1862, Resulting Numbers: [1862]
1862,94 unequal: No Solution
No 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: 94:[103, 16], Operations: ['35+68=103', '54-38=16']
Exploring Operation: 103-16=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 103+16=119, Resulting Numbers: [119]
119,94 unequal: No Solution
Exploring Operation: 103*16=1648, Resulting Numbers: [1648]
1648,94 unequal: No Solution
No 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: 94:[54, 65], Operations: ['35+68=103', '103-38=65']
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,94 unequal: No Solution
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,94 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,94 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: 94:[68, 54, 3], Operations: ['38-35=3']
Exploring Operation: 68-54=14, Resulting Numbers: [3, 14]
Generated Node #0,1,0: 94:[3, 14] Operation: 68-54=14
Exploring Operation: 68+54=122, Resulting Numbers: [3, 122]
Generated Node #0,1,1: 94:[3, 122] Operation: 68+54=122
Exploring Operation: 68-3=65, Resulting Numbers: [54, 65]
Generated Node #0,1,2: 94:[54, 65] Operation: 68-3=65
Exploring Operation: 54-3=51, Resulting Numbers: [68, 51]
Generated Node #0,1,3: 94:[68, 51] Operation: 54-3=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 94:[3, 14], Operations: ['38-35=3', '68-54=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,94 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,94 unequal: No Solution
No 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: 94:[54, 65], Operations: ['38-35=3', '68-3=65']
Exploring Operation: 54+65=119, Resulting Numbers: [119]
119,94 unequal: No Solution
Exploring Operation: 65-54=11, Resulting Numbers: [11]
11,94 unequal: No Solution
Exploring Operation: 54*65=3510, Resulting Numbers: [3510]
3510,94 unequal: No Solution
No 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: 94:[68, 51], Operations: ['38-35=3', '54-3=51']
Exploring Operation: 68-51=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 68+51=119, Resulting Numbers: [119]
119,94 unequal: No Solution
Exploring Operation: 68*51=3468, Resulting Numbers: [3468]
3468,94 unequal: No Solution
No 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: 94:[3, 122], Operations: ['38-35=3', '68+54=122']
Exploring Operation: 122-3=119, Resulting Numbers: [119]
119,94 unequal: No Solution
Exploring Operation: 3*122=366, Resulting Numbers: [366]
366,94 unequal: No Solution
Exploring Operation: 3+122=125, Resulting Numbers: [125]
125,94 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: 94:[38, 54, 33], Operations: ['68-35=33']
Exploring Operation: 54-38=16, Resulting Numbers: [33, 16]
Generated Node #0,2,0: 94:[33, 16] Operation: 54-38=16
Exploring Operation: 38-33=5, Resulting Numbers: [54, 5]
Generated Node #0,2,1: 94:[54, 5] Operation: 38-33=5
Exploring Operation: 54+33=87, Resulting Numbers: [38, 87]
Generated Node #0,2,2: 94:[38, 87] Operation: 54+33=87
Exploring Operation: 38+54=92, Resulting Numbers: [33, 92]
Generated Node #0,2,3: 94:[33, 92] Operation: 38+54=92
Moving to Node #0,3
Current State: 94:[35, 54, 106], Operations: ['38+68=106']
Exploring Operation: 35+54=89, Resulting Numbers: [106, 89]
Generated Node #0,3,0: 94:[106, 89] Operation: 35+54=89
Exploring Operation: 106-35=71, Resulting Numbers: [54, 71]
Generated Node #0,3,1: 94:[54, 71] Operation: 106-35=71
Exploring Operation: 54-35=19, Resulting Numbers: [106, 19]
Generated Node #0,3,2: 94:[106, 19] Operation: 54-35=19
Exploring Operation: 106-54=52, Resulting Numbers: [35, 52]
Generated Node #0,3,3: 94:[35, 52] Operation: 106-54=52
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 94:[106, 89], Operations: ['38+68=106', '35+54=89']
Exploring Operation: 106+89=195, Resulting Numbers: [195]
195,94 unequal: No Solution
Exploring Operation: 106*89=9434, Resulting Numbers: [9434]
9434,94 unequal: No Solution
Exploring Operation: 106-89=17, Resulting Numbers: [17]
17,94 unequal: No Solution
No 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: 94:[35, 52], Operations: ['38+68=106', '106-54=52']
Exploring Operation: 35*52=1820, Resulting Numbers: [1820]
1820,94 unequal: No Solution
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,94 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,94 unequal: No Solution
No 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: 94:[106, 19], Operations: ['38+68=106', '54-35=19']
Exploring Operation: 106+19=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 106*19=2014, Resulting Numbers: [2014]
2014,94 unequal: No Solution
Exploring Operation: 106-19=87, Resulting Numbers: [87]
87,94 unequal: No Solution
No 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: 94:[54, 71], Operations: ['38+68=106', '106-35=71']
Exploring Operation: 54*71=3834, Resulting Numbers: [3834]
3834,94 unequal: No Solution
Exploring Operation: 54+71=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 71-54=17, Resulting Numbers: [17]
17,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 94:[54, 5], Operations: ['68-35=33', '38-33=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Exploring Operation: 54*5=270, Resulting Numbers: [270]
270,94 unequal: No Solution
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[33, 92], Operations: ['68-35=33', '38+54=92']
Exploring Operation: 33+92=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 33*92=3036, Resulting Numbers: [3036]
3036,94 unequal: No Solution
Exploring Operation: 92-33=59, Resulting Numbers: [59]
59,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[38, 87], Operations: ['68-35=33', '54+33=87']
Exploring Operation: 38*87=3306, Resulting Numbers: [3306]
3306,94 unequal: No Solution
Exploring Operation: 38+87=125, Resulting Numbers: [125]
125,94 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[33, 16], Operations: ['68-35=33', '54-38=16']
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,94 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,94 unequal: No Solution
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,94 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
81,
91,
36,
53
] | 77 | [
"91+53=144",
"144/36=4",
"81-4=77"
] | Current State: 77:[81, 91, 36, 53], Operations: []
Exploring Operation: 91+53=144, Resulting Numbers: [81, 36, 144]
Generated Node #2: [81, 36, 144] from Operation: 91+53=144
Current State: 77:[81, 36, 144], Operations: ['91+53=144']
Exploring Operation: 144/36=4, Resulting Numbers: [81, 4]
Generated Node #3: [81, 4] from Operation: 144/36=4
Current State: 77:[81, 4], Operations: ['91+53=144', '144/36=4']
Exploring Operation: 81-4=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[81, 91, 36, 53], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [81, 91, 17]
Generated Node #0,0: 77:[81, 91, 17] Operation: 53-36=17
Moving to Node #0,0
Current State: 77:[81, 91, 17], Operations: ['53-36=17']
Exploring Operation: 91-81=10, Resulting Numbers: [17, 10]
Generated Node #0,0,0: 77:[17, 10] Operation: 91-81=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 77:[17, 10], Operations: ['53-36=17', '91-81=10']
Exploring Operation: 17-10=7, Resulting Numbers: [7]
7,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
21,
5,
97,
92
] | 84 | [
"21*5=105",
"97+92=189",
"189-105=84"
] | Current State: 84:[21, 5, 97, 92], Operations: []
Exploring Operation: 21*5=105, Resulting Numbers: [97, 92, 105]
Generated Node #2: [97, 92, 105] from Operation: 21*5=105
Current State: 84:[97, 92, 105], Operations: ['21*5=105']
Exploring Operation: 97+92=189, Resulting Numbers: [105, 189]
Generated Node #3: [105, 189] from Operation: 97+92=189
Current State: 84:[105, 189], Operations: ['21*5=105', '97+92=189']
Exploring Operation: 189-105=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[21, 5, 97, 92], Operations: []
Exploring Operation: 97-5=92, Resulting Numbers: [21, 92, 92]
Generated Node #0,0: 84:[21, 92, 92] Operation: 97-5=92
Exploring Operation: 97-92=5, Resulting Numbers: [21, 5, 5]
Generated Node #0,1: 84:[21, 5, 5] Operation: 97-92=5
Exploring Operation: 97-21=76, Resulting Numbers: [5, 92, 76]
Generated Node #0,2: 84:[5, 92, 76] Operation: 97-21=76
Exploring Operation: 92-5=87, Resulting Numbers: [21, 97, 87]
Generated Node #0,3: 84:[21, 97, 87] Operation: 92-5=87
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[21, 5, 5], Operations: ['97-92=5']
Exploring Operation: 5-5=0, Resulting Numbers: [21, 0]
Generated Node #0,1,0: 84:[21, 0] Operation: 5-5=0
Exploring Operation: 21+5=26, Resulting Numbers: [5, 26]
Generated Node #0,1,1: 84:[5, 26] Operation: 21+5=26
Exploring Operation: 5+5=10, Resulting Numbers: [21, 10]
Generated Node #0,1,2: 84:[21, 10] Operation: 5+5=10
Exploring Operation: 5/5=1, Resulting Numbers: [21, 1]
Generated Node #0,1,3: 84:[21, 1] Operation: 5/5=1
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 84:[21, 1], Operations: ['97-92=5', '5/5=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,84 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 #0,1,0
Current State: 84:[21, 0], Operations: ['97-92=5', '5-5=0']
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,84 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 #0,1,2
Current State: 84:[21, 10], Operations: ['97-92=5', '5+5=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,84 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:[5, 26], Operations: ['97-92=5', '21+5=26']
Exploring Operation: 5+26=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 5*26=130, Resulting Numbers: [130]
130,84 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,84 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 #0,0
Current State: 84:[21, 92, 92], Operations: ['97-5=92']
Exploring Operation: 92-92=0, Resulting Numbers: [21, 0]
Generated Node #0,0,0: 84:[21, 0] Operation: 92-92=0
Exploring Operation: 92-21=71, Resulting Numbers: [92, 71]
Generated Node #0,0,1: 84:[92, 71] Operation: 92-21=71
Exploring Operation: 92-21=71, Resulting Numbers: [92, 71]
Generated Node #0,0,2: 84:[92, 71] Operation: 92-21=71
Exploring Operation: 92/92=1, Resulting Numbers: [21, 1]
Generated Node #0,0,3: 84:[21, 1] Operation: 92/92=1
Moving to Node #0,0,3
Current State: 84:[21, 1], Operations: ['97-5=92', '92/92=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[21, 0], Operations: ['97-5=92', '92-92=0']
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[92, 71], Operations: ['97-5=92', '92-21=71']
Exploring Operation: 92+71=163, Resulting Numbers: [163]
163,84 unequal: No Solution
Exploring Operation: 92-71=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 92*71=6532, Resulting Numbers: [6532]
6532,84 unequal: No Solution
Moving to Node #0,0,1
Current State: 84:[92, 71], Operations: ['97-5=92', '92-21=71']
Exploring Operation: 92+71=163, Resulting Numbers: [163]
163,84 unequal: No Solution
Exploring Operation: 92-71=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 92*71=6532, Resulting Numbers: [6532]
6532,84 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 #0,3
Current State: 84:[21, 97, 87], Operations: ['92-5=87']
Exploring Operation: 87-21=66, Resulting Numbers: [97, 66]
Generated Node #0,3,0: 84:[97, 66] Operation: 87-21=66
Exploring Operation: 97-87=10, Resulting Numbers: [21, 10]
Generated Node #0,3,1: 84:[21, 10] Operation: 97-87=10
Exploring Operation: 21+97=118, Resulting Numbers: [87, 118]
Generated Node #0,3,2: 84:[87, 118] Operation: 21+97=118
Exploring Operation: 97-21=76, Resulting Numbers: [87, 76]
Generated Node #0,3,3: 84:[87, 76] Operation: 97-21=76
Moving to Node #0,3,1
Current State: 84:[21, 10], Operations: ['92-5=87', '97-87=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 21*10=210, Resulting Numbers: [210]
210,84 unequal: No Solution
Exploring Operation: 21+10=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Moving to Node #0,3,3
Current State: 84:[87, 76], Operations: ['92-5=87', '97-21=76']
Exploring Operation: 87+76=163, Resulting Numbers: [163]
163,84 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 87*76=6612, Resulting Numbers: [6612]
6612,84 unequal: No Solution
Moving to Node #0,3,0
Current State: 84:[97, 66], Operations: ['92-5=87', '87-21=66']
Exploring Operation: 97+66=163, Resulting Numbers: [163]
163,84 unequal: No Solution
Exploring Operation: 97*66=6402, Resulting Numbers: [6402]
6402,84 unequal: No Solution
Exploring Operation: 97-66=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Moving to Node #0,3,2
Current State: 84:[87, 118], Operations: ['92-5=87', '21+97=118']
Exploring Operation: 118-87=31, Resulting Numbers: [31]
31,84 unequal: No Solution
Exploring Operation: 87*118=10266, Resulting Numbers: [10266]
10266,84 unequal: No Solution
Exploring Operation: 87+118=205, Resulting Numbers: [205]
205,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 84:[5, 92, 76], Operations: ['97-21=76']
Exploring Operation: 92-5=87, Resulting Numbers: [76, 87]
Generated Node #0,2,0: 84:[76, 87] Operation: 92-5=87
Exploring Operation: 5+92=97, Resulting Numbers: [76, 97]
Generated Node #0,2,1: 84:[76, 97] Operation: 5+92=97
Exploring Operation: 5+76=81, Resulting Numbers: [92, 81]
Generated Node #0,2,2: 84:[92, 81] Operation: 5+76=81
Exploring Operation: 92-76=16, Resulting Numbers: [5, 16]
Generated Node #0,2,3: 84:[5, 16] Operation: 92-76=16
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 84:[5, 16], Operations: ['97-21=76', '92-76=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,84 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 84:[76, 87], Operations: ['97-21=76', '92-5=87']
Exploring Operation: 76+87=163, Resulting Numbers: [163]
163,84 unequal: No Solution
Exploring Operation: 76*87=6612, Resulting Numbers: [6612]
6612,84 unequal: No Solution
Exploring Operation: 87-76=11, Resulting Numbers: [11]
11,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 84:[92, 81], Operations: ['97-21=76', '5+76=81']
Exploring Operation: 92*81=7452, Resulting Numbers: [7452]
7452,84 unequal: No Solution
Exploring Operation: 92-81=11, Resulting Numbers: [11]
11,84 unequal: No Solution
Exploring Operation: 92+81=173, Resulting Numbers: [173]
173,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 84:[76, 97], Operations: ['97-21=76', '5+92=97']
Exploring Operation: 76+97=173, Resulting Numbers: [173]
173,84 unequal: No Solution
Exploring Operation: 97-76=21, Resulting Numbers: [21]
21,84 unequal: No Solution
Exploring Operation: 76*97=7372, Resulting Numbers: [7372]
7372,84 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_4 | mult_heuristic |
[
68,
46,
99,
39
] | 71 | [
"99+39=138",
"138/46=3",
"68+3=71"
] | Current State: 71:[68, 46, 99, 39], Operations: []
Exploring Operation: 99+39=138, Resulting Numbers: [68, 46, 138]
Generated Node #2: [68, 46, 138] from Operation: 99+39=138
Current State: 71:[68, 46, 138], Operations: ['99+39=138']
Exploring Operation: 138/46=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 138/46=3
Current State: 71:[68, 3], Operations: ['99+39=138', '138/46=3']
Exploring Operation: 68+3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[68, 46, 99, 39], Operations: []
Exploring Operation: 99-39=60, Resulting Numbers: [68, 46, 60]
Generated Node #0,0: 71:[68, 46, 60] Operation: 99-39=60
Moving to Node #0,0
Current State: 71:[68, 46, 60], Operations: ['99-39=60']
Exploring Operation: 46+60=106, Resulting Numbers: [68, 106]
Generated Node #0,0,0: 71:[68, 106] Operation: 46+60=106
Moving to Node #0,0,0
Current State: 71:[68, 106], Operations: ['99-39=60', '46+60=106']
Exploring Operation: 106-68=38, Resulting Numbers: [38]
38,71 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
9,
93,
5,
2
] | 47 | [
"93-9=84",
"84/2=42",
"5+42=47"
] | Current State: 47:[9, 93, 5, 2], Operations: []
Exploring Operation: 93-9=84, Resulting Numbers: [5, 2, 84]
Generated Node #2: [5, 2, 84] from Operation: 93-9=84
Current State: 47:[5, 2, 84], Operations: ['93-9=84']
Exploring Operation: 84/2=42, Resulting Numbers: [5, 42]
Generated Node #3: [5, 42] from Operation: 84/2=42
Current State: 47:[5, 42], Operations: ['93-9=84', '84/2=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[9, 93, 5, 2], Operations: []
Exploring Operation: 9*2=18, Resulting Numbers: [93, 5, 18]
Generated Node #0,0: 47:[93, 5, 18] Operation: 9*2=18
Exploring Operation: 9*5=45, Resulting Numbers: [93, 2, 45]
Generated Node #0,1: 47:[93, 2, 45] Operation: 9*5=45
Moving to Node #0,1
Current State: 47:[93, 2, 45], Operations: ['9*5=45']
Exploring Operation: 93-2=91, Resulting Numbers: [45, 91]
Generated Node #0,1,0: 47:[45, 91] Operation: 93-2=91
Exploring Operation: 93-45=48, Resulting Numbers: [2, 48]
Generated Node #0,1,1: 47:[2, 48] Operation: 93-45=48
Moving to Node #0,0
Current State: 47:[93, 5, 18], Operations: ['9*2=18']
Exploring Operation: 93-5=88, Resulting Numbers: [18, 88]
Generated Node #0,0,0: 47:[18, 88] Operation: 93-5=88
Exploring Operation: 93-18=75, Resulting Numbers: [5, 75]
Generated Node #0,0,1: 47:[5, 75] Operation: 93-18=75
Moving to Node #0,1,0
Current State: 47:[45, 91], Operations: ['9*5=45', '93-2=91']
Exploring Operation: 45+91=136, Resulting Numbers: [136]
136,47 unequal: No Solution
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[2, 48], Operations: ['9*5=45', '93-45=48']
Exploring Operation: 48-2=46, Resulting Numbers: [46]
46,47 unequal: No Solution
Exploring Operation: 2+48=50, Resulting Numbers: [50]
50,47 unequal: No Solution
Moving to Node #0,0,1
Current State: 47:[5, 75], Operations: ['9*2=18', '93-18=75']
Exploring Operation: 75-5=70, Resulting Numbers: [70]
70,47 unequal: No Solution
Exploring Operation: 75/5=15, Resulting Numbers: [15]
15,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[18, 88], Operations: ['9*2=18', '93-5=88']
Exploring Operation: 18+88=106, Resulting Numbers: [106]
106,47 unequal: No Solution
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,47 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
31,
74,
16,
14
] | 73 | [
"74-31=43",
"16+14=30",
"43+30=73"
] | Current State: 73:[31, 74, 16, 14], Operations: []
Exploring Operation: 74-31=43, Resulting Numbers: [16, 14, 43]
Generated Node #2: [16, 14, 43] from Operation: 74-31=43
Current State: 73:[16, 14, 43], Operations: ['74-31=43']
Exploring Operation: 16+14=30, Resulting Numbers: [43, 30]
Generated Node #3: [43, 30] from Operation: 16+14=30
Current State: 73:[43, 30], Operations: ['74-31=43', '16+14=30']
Exploring Operation: 43+30=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[31, 74, 16, 14], Operations: []
Exploring Operation: 31-14=17, Resulting Numbers: [74, 16, 17]
Generated Node #0,0: 73:[74, 16, 17] Operation: 31-14=17
Exploring Operation: 31+14=45, Resulting Numbers: [74, 16, 45]
Generated Node #0,1: 73:[74, 16, 45] Operation: 31+14=45
Exploring Operation: 74-14=60, Resulting Numbers: [31, 16, 60]
Generated Node #0,2: 73:[31, 16, 60] Operation: 74-14=60
Exploring Operation: 16+14=30, Resulting Numbers: [31, 74, 30]
Generated Node #0,3: 73:[31, 74, 30] Operation: 16+14=30
Exploring Operation: 31+16=47, Resulting Numbers: [74, 14, 47]
Generated Node #0,4: 73:[74, 14, 47] Operation: 31+16=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[74, 16, 45], Operations: ['31+14=45']
Exploring Operation: 74-45=29, Resulting Numbers: [16, 29]
Generated Node #0,1,0: 73:[16, 29] Operation: 74-45=29
Exploring Operation: 74-16=58, Resulting Numbers: [45, 58]
Generated Node #0,1,1: 73:[45, 58] Operation: 74-16=58
Exploring Operation: 16+45=61, Resulting Numbers: [74, 61]
Generated Node #0,1,2: 73:[74, 61] Operation: 16+45=61
Exploring Operation: 45-16=29, Resulting Numbers: [74, 29]
Generated Node #0,1,3: 73:[74, 29] Operation: 45-16=29
Exploring Operation: 74+16=90, Resulting Numbers: [45, 90]
Generated Node #0,1,4: 73:[45, 90] Operation: 74+16=90
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 73:[74, 61], Operations: ['31+14=45', '16+45=61']
Exploring Operation: 74*61=4514, Resulting Numbers: [4514]
4514,73 unequal: No Solution
Exploring Operation: 74+61=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 73:[45, 58], Operations: ['31+14=45', '74-16=58']
Exploring Operation: 45*58=2610, Resulting Numbers: [2610]
2610,73 unequal: No Solution
Exploring Operation: 45+58=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 58-45=13, Resulting Numbers: [13]
13,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 73:[74, 29], Operations: ['31+14=45', '45-16=29']
Exploring Operation: 74+29=103, Resulting Numbers: [103]
103,73 unequal: No Solution
Exploring Operation: 74*29=2146, Resulting Numbers: [2146]
2146,73 unequal: No Solution
Exploring Operation: 74-29=45, Resulting Numbers: [45]
45,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 73:[45, 90], Operations: ['31+14=45', '74+16=90']
Exploring Operation: 45*90=4050, Resulting Numbers: [4050]
4050,73 unequal: No Solution
Exploring Operation: 90-45=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 45+90=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 90/45=2, Resulting Numbers: [2]
2,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 73:[16, 29], Operations: ['31+14=45', '74-45=29']
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,73 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,73 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: 73:[31, 74, 30], Operations: ['16+14=30']
Exploring Operation: 74-30=44, Resulting Numbers: [31, 44]
Generated Node #0,3,0: 73:[31, 44] Operation: 74-30=44
Exploring Operation: 31-30=1, Resulting Numbers: [74, 1]
Generated Node #0,3,1: 73:[74, 1] Operation: 31-30=1
Exploring Operation: 74-31=43, Resulting Numbers: [30, 43]
Generated Node #0,3,2: 73:[30, 43] Operation: 74-31=43
Exploring Operation: 31+30=61, Resulting Numbers: [74, 61]
Generated Node #0,3,3: 73:[74, 61] Operation: 31+30=61
Exploring Operation: 74+30=104, Resulting Numbers: [31, 104]
Generated Node #0,3,4: 73:[31, 104] Operation: 74+30=104
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 73:[74, 61], Operations: ['16+14=30', '31+30=61']
Exploring Operation: 74+61=135, Resulting Numbers: [135]
135,73 unequal: No Solution
Exploring Operation: 74-61=13, Resulting Numbers: [13]
13,73 unequal: No Solution
Exploring Operation: 74*61=4514, Resulting Numbers: [4514]
4514,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 73:[31, 44], Operations: ['16+14=30', '74-30=44']
Exploring Operation: 31*44=1364, Resulting Numbers: [1364]
1364,73 unequal: No Solution
Exploring Operation: 31+44=75, Resulting Numbers: [75]
75,73 unequal: No Solution
Exploring Operation: 44-31=13, Resulting Numbers: [13]
13,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 73:[74, 1], Operations: ['16+14=30', '31-30=1']
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,73 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[31, 74, 16, 14], Operations: []
Exploring Operation: 16+14=30, Resulting Numbers: [31, 74, 30]
Generated Node #0,3: 73:[31, 74, 30] Operation: 16+14=30
Moving to Node #0,3
Current State: 73:[31, 74, 30], Operations: ['16+14=30']
Exploring Operation: 31-30=1, Resulting Numbers: [74, 1]
Generated Node #0,3,1: 73:[74, 1] Operation: 31-30=1
Moving to Node #0,3,1
Current State: 73:[74, 1], Operations: ['16+14=30', '31-30=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.960938 | hs_5 | mult_heuristic |
[
51,
79,
32,
28
] | 33 | [
"79-51=28",
"28/28=1",
"32+1=33"
] | Current State: 33:[51, 79, 32, 28], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [32, 28, 28]
Generated Node #2: [32, 28, 28] from Operation: 79-51=28
Current State: 33:[32, 28, 28], Operations: ['79-51=28']
Exploring Operation: 28/28=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 28/28=1
Current State: 33:[32, 1], Operations: ['79-51=28', '28/28=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[51, 79, 32, 28], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [32, 28, 28]
Generated Node #0,0: 33:[32, 28, 28] Operation: 79-51=28
Moving to Node #0,0
Current State: 33:[32, 28, 28], Operations: ['79-51=28']
Exploring Operation: 28/28=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 33:[32, 1] Operation: 28/28=1
Moving to Node #0,0,0
Current State: 33:[32, 1], Operations: ['79-51=28', '28/28=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[51, 79, 32, 28], Operations: []
Exploring Operation: 79-51=28, Resulting Numbers: [32, 28, 28]
Generated Node #0,0: 33:[32, 28, 28] Operation: 79-51=28
Moving to Node #0,0
Current State: 33:[32, 28, 28], Operations: ['79-51=28']
Exploring Operation: 28/28=1, Resulting Numbers: [32, 1]
Generated Node #0,0,0: 33:[32, 1] Operation: 28/28=1
Moving to Node #0,0,0
Current State: 33:[32, 1], Operations: ['79-51=28', '28/28=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
70,
43,
25,
10
] | 78 | [
"70+43=113",
"25+10=35",
"113-35=78"
] | Current State: 78:[70, 43, 25, 10], Operations: []
Exploring Operation: 70+43=113, Resulting Numbers: [25, 10, 113]
Generated Node #2: [25, 10, 113] from Operation: 70+43=113
Current State: 78:[25, 10, 113], Operations: ['70+43=113']
Exploring Operation: 25+10=35, Resulting Numbers: [113, 35]
Generated Node #3: [113, 35] from Operation: 25+10=35
Current State: 78:[113, 35], Operations: ['70+43=113', '25+10=35']
Exploring Operation: 113-35=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[70, 43, 25, 10], Operations: []
Exploring Operation: 70-43=27, Resulting Numbers: [25, 10, 27]
Generated Node #0,0: 78:[25, 10, 27] Operation: 70-43=27
Exploring Operation: 70/10=7, Resulting Numbers: [43, 25, 7]
Generated Node #0,1: 78:[43, 25, 7] Operation: 70/10=7
Exploring Operation: 70+10=80, Resulting Numbers: [43, 25, 80]
Generated Node #0,2: 78:[43, 25, 80] Operation: 70+10=80
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[25, 10, 27], Operations: ['70-43=27']
Exploring Operation: 25-10=15, Resulting Numbers: [27, 15]
Generated Node #0,0,0: 78:[27, 15] Operation: 25-10=15
Exploring Operation: 27-25=2, Resulting Numbers: [10, 2]
Generated Node #0,0,1: 78:[10, 2] Operation: 27-25=2
Exploring Operation: 10+27=37, Resulting Numbers: [25, 37]
Generated Node #0,0,2: 78:[25, 37] Operation: 10+27=37
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[27, 15], Operations: ['70-43=27', '25-10=15']
Exploring Operation: 27+15=42, Resulting Numbers: [42]
42,78 unequal: No Solution
Exploring Operation: 27-15=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 27*15=405, Resulting Numbers: [405]
405,78 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 #0,0,1
Current State: 78:[10, 2], Operations: ['70-43=27', '27-25=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,78 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,78 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 #0,0,2
Current State: 78:[25, 37], Operations: ['70-43=27', '10+27=37']
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,78 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 78:[43, 25, 7], Operations: ['70/10=7']
Exploring Operation: 25-7=18, Resulting Numbers: [43, 18]
Generated Node #0,1,0: 78:[43, 18] Operation: 25-7=18
Exploring Operation: 43-7=36, Resulting Numbers: [25, 36]
Generated Node #0,1,1: 78:[25, 36] Operation: 43-7=36
Exploring Operation: 43-25=18, Resulting Numbers: [7, 18]
Generated Node #0,1,2: 78:[7, 18] Operation: 43-25=18
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 78:[25, 36], Operations: ['70/10=7', '43-7=36']
Exploring Operation: 25*36=900, Resulting Numbers: [900]
900,78 unequal: No Solution
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 25+36=61, Resulting Numbers: [61]
61,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 78:[7, 18], Operations: ['70/10=7', '43-25=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,78 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,78 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 78:[43, 18], Operations: ['70/10=7', '25-7=18']
Exploring Operation: 43*18=774, Resulting Numbers: [774]
774,78 unequal: No Solution
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,78 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 78:[43, 25, 80], Operations: ['70+10=80']
Exploring Operation: 43+25=68, Resulting Numbers: [80, 68]
Generated Node #0,2,0: 78:[80, 68] Operation: 43+25=68
Exploring Operation: 43-25=18, Resulting Numbers: [80, 18]
Generated Node #0,2,1: 78:[80, 18] Operation: 43-25=18
Exploring Operation: 80-43=37, Resulting Numbers: [25, 37]
Generated Node #0,2,2: 78:[25, 37] Operation: 80-43=37
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 78:[25, 37], Operations: ['70+10=80', '80-43=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,78 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 78:[80, 18], Operations: ['70+10=80', '43-25=18']
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,78 unequal: No Solution
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,78 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 78:[80, 68], Operations: ['70+10=80', '43+25=68']
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,78 unequal: No Solution
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,78 unequal: No Solution
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
42,
10,
20,
70
] | 51 | [
"20+70=90",
"90/10=9",
"42+9=51"
] | Current State: 51:[42, 10, 20, 70], Operations: []
Exploring Operation: 20+70=90, Resulting Numbers: [42, 10, 90]
Generated Node #2: [42, 10, 90] from Operation: 20+70=90
Current State: 51:[42, 10, 90], Operations: ['20+70=90']
Exploring Operation: 90/10=9, Resulting Numbers: [42, 9]
Generated Node #3: [42, 9] from Operation: 90/10=9
Current State: 51:[42, 9], Operations: ['20+70=90', '90/10=9']
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[42, 10, 20, 70], Operations: []
Exploring Operation: 70-10=60, Resulting Numbers: [42, 20, 60]
Generated Node #0,0: 51:[42, 20, 60] Operation: 70-10=60
Exploring Operation: 42+10=52, Resulting Numbers: [20, 70, 52]
Generated Node #0,1: 51:[20, 70, 52] Operation: 42+10=52
Exploring Operation: 70/10=7, Resulting Numbers: [42, 20, 7]
Generated Node #0,2: 51:[42, 20, 7] Operation: 70/10=7
Exploring Operation: 70-42=28, Resulting Numbers: [10, 20, 28]
Generated Node #0,3: 51:[10, 20, 28] Operation: 70-42=28
Exploring Operation: 70-20=50, Resulting Numbers: [42, 10, 50]
Generated Node #0,4: 51:[42, 10, 50] Operation: 70-20=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[42, 20, 7], Operations: ['70/10=7']
Exploring Operation: 20-7=13, Resulting Numbers: [42, 13]
Generated Node #0,2,0: 51:[42, 13] Operation: 20-7=13
Exploring Operation: 42+7=49, Resulting Numbers: [20, 49]
Generated Node #0,2,1: 51:[20, 49] Operation: 42+7=49
Exploring Operation: 42/7=6, Resulting Numbers: [20, 6]
Generated Node #0,2,2: 51:[20, 6] Operation: 42/7=6
Exploring Operation: 42-20=22, Resulting Numbers: [7, 22]
Generated Node #0,2,3: 51:[7, 22] Operation: 42-20=22
Exploring Operation: 42+20=62, Resulting Numbers: [7, 62]
Generated Node #0,2,4: 51:[7, 62] Operation: 42+20=62
Moving to Node #0,2,1
Current State: 51:[20, 49], Operations: ['70/10=7', '42+7=49']
Exploring Operation: 20*49=980, Resulting Numbers: [980]
980,51 unequal: No Solution
Exploring Operation: 49-20=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 20+49=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[20, 6], Operations: ['70/10=7', '42/7=6']
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,51 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[7, 22], Operations: ['70/10=7', '42-20=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,51 unequal: No Solution
Exploring Operation: 7+22=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 7*22=154, Resulting Numbers: [154]
154,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[42, 13], Operations: ['70/10=7', '20-7=13']
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,51 unequal: No Solution
Exploring Operation: 42*13=546, Resulting Numbers: [546]
546,51 unequal: No Solution
Moving to Node #0,2,4
Current State: 51:[7, 62], Operations: ['70/10=7', '42+20=62']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 7*62=434, Resulting Numbers: [434]
434,51 unequal: No Solution
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 51:[42, 10, 50], Operations: ['70-20=50']
Exploring Operation: 10+50=60, Resulting Numbers: [42, 60]
Generated Node #0,4,0: 51:[42, 60] Operation: 10+50=60
Exploring Operation: 42+10=52, Resulting Numbers: [50, 52]
Generated Node #0,4,1: 51:[50, 52] Operation: 42+10=52
Exploring Operation: 50-42=8, Resulting Numbers: [10, 8]
Generated Node #0,4,2: 51:[10, 8] Operation: 50-42=8
Exploring Operation: 42-10=32, Resulting Numbers: [50, 32]
Generated Node #0,4,3: 51:[50, 32] Operation: 42-10=32
Exploring Operation: 50/10=5, Resulting Numbers: [42, 5]
Generated Node #0,4,4: 51:[42, 5] Operation: 50/10=5
Moving to Node #0,4,1
Current State: 51:[50, 52], Operations: ['70-20=50', '42+10=52']
Exploring Operation: 50*52=2600, Resulting Numbers: [2600]
2600,51 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 50+52=102, Resulting Numbers: [102]
102,51 unequal: No Solution
Moving to Node #0,4,4
Current State: 51:[42, 5], Operations: ['70-20=50', '50/10=5']
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,51 unequal: No Solution
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,51 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,51 unequal: No Solution
Moving to Node #0,4,2
Current State: 51:[10, 8], Operations: ['70-20=50', '50-42=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,4,3
Current State: 51:[50, 32], Operations: ['70-20=50', '42-10=32']
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,51 unequal: No Solution
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Moving to Node #0,4,0
Current State: 51:[42, 60], Operations: ['70-20=50', '10+50=60']
Exploring Operation: 42*60=2520, Resulting Numbers: [2520]
2520,51 unequal: No Solution
Exploring Operation: 42+60=102, Resulting Numbers: [102]
102,51 unequal: No Solution
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[42, 20, 60], Operations: ['70-10=60']
Exploring Operation: 60/20=3, Resulting Numbers: [42, 3]
Generated Node #0,0,0: 51:[42, 3] Operation: 60/20=3
Exploring Operation: 60-42=18, Resulting Numbers: [20, 18]
Generated Node #0,0,1: 51:[20, 18] Operation: 60-42=18
Exploring Operation: 42+20=62, Resulting Numbers: [60, 62]
Generated Node #0,0,2: 51:[60, 62] Operation: 42+20=62
Exploring Operation: 60-20=40, Resulting Numbers: [42, 40]
Generated Node #0,0,3: 51:[42, 40] Operation: 60-20=40
Exploring Operation: 42-20=22, Resulting Numbers: [60, 22]
Generated Node #0,0,4: 51:[60, 22] Operation: 42-20=22
Moving to Node #0,0,1
Current State: 51:[20, 18], Operations: ['70-10=60', '60-42=18']
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,51 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[42, 3], Operations: ['70-10=60', '60/20=3']
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,51 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,51 unequal: No Solution
Moving to Node #0,0,4
Current State: 51:[60, 22], Operations: ['70-10=60', '42-20=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 60-22=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 60*22=1320, Resulting Numbers: [1320]
1320,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[60, 62], Operations: ['70-10=60', '42+20=62']
Exploring Operation: 60*62=3720, Resulting Numbers: [3720]
3720,51 unequal: No Solution
Exploring Operation: 60+62=122, Resulting Numbers: [122]
122,51 unequal: No Solution
Exploring Operation: 62-60=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[42, 40], Operations: ['70-10=60', '60-20=40']
Exploring Operation: 42-40=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 42+40=82, Resulting Numbers: [82]
82,51 unequal: No Solution
Exploring Operation: 42*40=1680, Resulting Numbers: [1680]
1680,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[10, 20, 28], Operations: ['70-42=28']
Exploring Operation: 28-10=18, Resulting Numbers: [20, 18]
Generated Node #0,3,0: 51:[20, 18] Operation: 28-10=18
Exploring Operation: 10+28=38, Resulting Numbers: [20, 38]
Generated Node #0,3,1: 51:[20, 38] Operation: 10+28=38
Exploring Operation: 20/10=2, Resulting Numbers: [28, 2]
Generated Node #0,3,2: 51:[28, 2] Operation: 20/10=2
Exploring Operation: 28-20=8, Resulting Numbers: [10, 8]
Generated Node #0,3,3: 51:[10, 8] Operation: 28-20=8
Exploring Operation: 20+28=48, Resulting Numbers: [10, 48]
Generated Node #0,3,4: 51:[10, 48] Operation: 20+28=48
Moving to Node #0,3,0
Current State: 51:[20, 18], Operations: ['70-42=28', '28-10=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,51 unequal: No Solution
Moving to Node #0,3,4
Current State: 51:[10, 48], Operations: ['70-42=28', '20+28=48']
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,51 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,3,2
Current State: 51:[28, 2], Operations: ['70-42=28', '20/10=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,51 unequal: No Solution
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,51 unequal: No Solution
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,51 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[10, 8], Operations: ['70-42=28', '28-20=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[20, 38], Operations: ['70-42=28', '10+28=38']
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,51 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[20, 70, 52], Operations: ['42+10=52']
Exploring Operation: 52-20=32, Resulting Numbers: [70, 32]
Generated Node #0,1,0: 51:[70, 32] Operation: 52-20=32
Exploring Operation: 70-52=18, Resulting Numbers: [20, 18]
Generated Node #0,1,1: 51:[20, 18] Operation: 70-52=18
Exploring Operation: 20+52=72, Resulting Numbers: [70, 72]
Generated Node #0,1,2: 51:[70, 72] Operation: 20+52=72
Exploring Operation: 20+70=90, Resulting Numbers: [52, 90]
Generated Node #0,1,3: 51:[52, 90] Operation: 20+70=90
Exploring Operation: 70-20=50, Resulting Numbers: [52, 50]
Generated Node #0,1,4: 51:[52, 50] Operation: 70-20=50
Moving to Node #0,1,4
Current State: 51:[52, 50], Operations: ['42+10=52', '70-20=50']
Exploring Operation: 52+50=102, Resulting Numbers: [102]
102,51 unequal: No Solution
Exploring Operation: 52-50=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 52*50=2600, Resulting Numbers: [2600]
2600,51 unequal: No Solution
Moving to Node #0,1,1
Current State: 51:[20, 18], Operations: ['42+10=52', '70-52=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,51 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[70, 32], Operations: ['42+10=52', '52-20=32']
Exploring Operation: 70+32=102, Resulting Numbers: [102]
102,51 unequal: No Solution
Exploring Operation: 70*32=2240, Resulting Numbers: [2240]
2240,51 unequal: No Solution
Exploring Operation: 70-32=38, Resulting Numbers: [38]
38,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[70, 72], Operations: ['42+10=52', '20+52=72']
Exploring Operation: 70+72=142, Resulting Numbers: [142]
142,51 unequal: No Solution
Exploring Operation: 70*72=5040, Resulting Numbers: [5040]
5040,51 unequal: No Solution
Exploring Operation: 72-70=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[52, 90], Operations: ['42+10=52', '20+70=90']
Exploring Operation: 52*90=4680, Resulting Numbers: [4680]
4680,51 unequal: No Solution
Exploring Operation: 52+90=142, Resulting Numbers: [142]
142,51 unequal: No Solution
Exploring Operation: 90-52=38, Resulting Numbers: [38]
38,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
78,
69,
23,
35
] | 27 | [
"69/23=3",
"35*3=105",
"105-78=27"
] | Current State: 27:[78, 69, 23, 35], Operations: []
Exploring Operation: 69/23=3, Resulting Numbers: [78, 35, 3]
Generated Node #2: [78, 35, 3] from Operation: 69/23=3
Current State: 27:[78, 35, 3], Operations: ['69/23=3']
Exploring Operation: 35*3=105, Resulting Numbers: [78, 105]
Generated Node #3: [78, 105] from Operation: 35*3=105
Current State: 27:[78, 105], Operations: ['69/23=3', '35*3=105']
Exploring Operation: 105-78=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[78, 69, 23, 35], Operations: []
Exploring Operation: 69-35=34, Resulting Numbers: [78, 23, 34]
Generated Node #0,0: 27:[78, 23, 34] Operation: 69-35=34
Exploring Operation: 78-23=55, Resulting Numbers: [69, 35, 55]
Generated Node #0,1: 27:[69, 35, 55] Operation: 78-23=55
Exploring Operation: 78-35=43, Resulting Numbers: [69, 23, 43]
Generated Node #0,2: 27:[69, 23, 43] Operation: 78-35=43
Exploring Operation: 69/23=3, Resulting Numbers: [78, 35, 3]
Generated Node #0,3: 27:[78, 35, 3] Operation: 69/23=3
Exploring Operation: 78-69=9, Resulting Numbers: [23, 35, 9]
Generated Node #0,4: 27:[23, 35, 9] Operation: 78-69=9
Moving to Node #0,4
Current State: 27:[23, 35, 9], Operations: ['78-69=9']
Exploring Operation: 35+9=44, Resulting Numbers: [23, 44]
Generated Node #0,4,0: 27:[23, 44] Operation: 35+9=44
Exploring Operation: 23-9=14, Resulting Numbers: [35, 14]
Generated Node #0,4,1: 27:[35, 14] Operation: 23-9=14
Exploring Operation: 35-23=12, Resulting Numbers: [9, 12]
Generated Node #0,4,2: 27:[9, 12] Operation: 35-23=12
Exploring Operation: 23+9=32, Resulting Numbers: [35, 32]
Generated Node #0,4,3: 27:[35, 32] Operation: 23+9=32
Exploring Operation: 35-9=26, Resulting Numbers: [23, 26]
Generated Node #0,4,4: 27:[23, 26] Operation: 35-9=26
Moving to Node #0,3
Current State: 27:[78, 35, 3], Operations: ['69/23=3']
Exploring Operation: 78+3=81, Resulting Numbers: [35, 81]
Generated Node #0,3,0: 27:[35, 81] Operation: 78+3=81
Exploring Operation: 78/3=26, Resulting Numbers: [35, 26]
Generated Node #0,3,1: 27:[35, 26] Operation: 78/3=26
Exploring Operation: 78-35=43, Resulting Numbers: [3, 43]
Generated Node #0,3,2: 27:[3, 43] Operation: 78-35=43
Exploring Operation: 78-3=75, Resulting Numbers: [35, 75]
Generated Node #0,3,3: 27:[35, 75] Operation: 78-3=75
Exploring Operation: 35-3=32, Resulting Numbers: [78, 32]
Generated Node #0,3,4: 27:[78, 32] Operation: 35-3=32
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 27:[35, 26], Operations: ['69/23=3', '78/3=26']
Exploring Operation: 35*26=910, Resulting Numbers: [910]
910,27 unequal: No Solution
Exploring Operation: 35-26=9, Resulting Numbers: [9]
9,27 unequal: No Solution
Exploring Operation: 35+26=61, Resulting Numbers: [61]
61,27 unequal: No Solution
No 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: 27:[3, 43], Operations: ['69/23=3', '78-35=43']
Exploring Operation: 3*43=129, Resulting Numbers: [129]
129,27 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,27 unequal: No Solution
No 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: 27:[35, 75], Operations: ['69/23=3', '78-3=75']
Exploring Operation: 35+75=110, Resulting Numbers: [110]
110,27 unequal: No Solution
Exploring Operation: 35*75=2625, Resulting Numbers: [2625]
2625,27 unequal: No Solution
Exploring Operation: 75-35=40, Resulting Numbers: [40]
40,27 unequal: No Solution
No 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: 27:[78, 32], Operations: ['69/23=3', '35-3=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,27 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,27 unequal: No Solution
No 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: 27:[35, 81], Operations: ['69/23=3', '78+3=81']
Exploring Operation: 81-35=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 35*81=2835, Resulting Numbers: [2835]
2835,27 unequal: No Solution
Exploring Operation: 35+81=116, Resulting Numbers: [116]
116,27 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: 27:[78, 23, 34], Operations: ['69-35=34']
Exploring Operation: 78-23=55, Resulting Numbers: [34, 55]
Generated Node #0,0,0: 27:[34, 55] Operation: 78-23=55
Exploring Operation: 34-23=11, Resulting Numbers: [78, 11]
Generated Node #0,0,1: 27:[78, 11] Operation: 34-23=11
Exploring Operation: 78-34=44, Resulting Numbers: [23, 44]
Generated Node #0,0,2: 27:[23, 44] Operation: 78-34=44
Exploring Operation: 78+23=101, Resulting Numbers: [34, 101]
Generated Node #0,0,3: 27:[34, 101] Operation: 78+23=101
Exploring Operation: 23+34=57, Resulting Numbers: [78, 57]
Generated Node #0,0,4: 27:[78, 57] Operation: 23+34=57
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 27:[23, 44], Operations: ['69-35=34', '78-34=44']
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,27 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,27 unequal: No Solution
No 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: 27:[34, 55], Operations: ['69-35=34', '78-23=55']
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 34*55=1870, Resulting Numbers: [1870]
1870,27 unequal: No Solution
Exploring Operation: 34+55=89, Resulting Numbers: [89]
89,27 unequal: No Solution
No 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: 27:[78, 11], Operations: ['69-35=34', '34-23=11']
Exploring Operation: 78+11=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 78*11=858, Resulting Numbers: [858]
858,27 unequal: No Solution
No 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: 27:[34, 101], Operations: ['69-35=34', '78+23=101']
Exploring Operation: 34*101=3434, Resulting Numbers: [3434]
3434,27 unequal: No Solution
Exploring Operation: 34+101=135, Resulting Numbers: [135]
135,27 unequal: No Solution
Exploring Operation: 101-34=67, Resulting Numbers: [67]
67,27 unequal: No Solution
No 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: 27:[78, 57], Operations: ['69-35=34', '23+34=57']
Exploring Operation: 78*57=4446, Resulting Numbers: [4446]
4446,27 unequal: No Solution
Exploring Operation: 78-57=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 78+57=135, Resulting Numbers: [135]
135,27 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: 27:[69, 23, 43], Operations: ['78-35=43']
Exploring Operation: 69/23=3, Resulting Numbers: [43, 3]
Generated Node #0,2,0: 27:[43, 3] Operation: 69/23=3
Exploring Operation: 69-43=26, Resulting Numbers: [23, 26]
Generated Node #0,2,1: 27:[23, 26] Operation: 69-43=26
Exploring Operation: 69+23=92, Resulting Numbers: [43, 92]
Generated Node #0,2,2: 27:[43, 92] Operation: 69+23=92
Exploring Operation: 43-23=20, Resulting Numbers: [69, 20]
Generated Node #0,2,3: 27:[69, 20] Operation: 43-23=20
Exploring Operation: 69-23=46, Resulting Numbers: [43, 46]
Generated Node #0,2,4: 27:[43, 46] Operation: 69-23=46
Moving to Node #0,1
Current State: 27:[69, 35, 55], Operations: ['78-23=55']
Exploring Operation: 55-35=20, Resulting Numbers: [69, 20]
Generated Node #0,1,0: 27:[69, 20] Operation: 55-35=20
Exploring Operation: 69-35=34, Resulting Numbers: [55, 34]
Generated Node #0,1,1: 27:[55, 34] Operation: 69-35=34
Exploring Operation: 69-55=14, Resulting Numbers: [35, 14]
Generated Node #0,1,2: 27:[35, 14] Operation: 69-55=14
Exploring Operation: 69+55=124, Resulting Numbers: [35, 124]
Generated Node #0,1,3: 27:[35, 124] Operation: 69+55=124
Exploring Operation: 69+35=104, Resulting Numbers: [55, 104]
Generated Node #0,1,4: 27:[55, 104] Operation: 69+35=104
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 27:[35, 14], Operations: ['78-23=55', '69-55=14']
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,27 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,27 unequal: No Solution
No 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: 27:[55, 34], Operations: ['78-23=55', '69-35=34']
Exploring Operation: 55*34=1870, Resulting Numbers: [1870]
1870,27 unequal: No Solution
Exploring Operation: 55-34=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,27 unequal: No Solution
No 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: 27:[69, 20], Operations: ['78-23=55', '55-35=20']
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,27 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,27 unequal: No Solution
No 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: 27:[35, 124], Operations: ['78-23=55', '69+55=124']
Exploring Operation: 35+124=159, Resulting Numbers: [159]
159,27 unequal: No Solution
Exploring Operation: 124-35=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 35*124=4340, Resulting Numbers: [4340]
4340,27 unequal: No Solution
No 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: 27:[55, 104], Operations: ['78-23=55', '69+35=104']
Exploring Operation: 104-55=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 55+104=159, Resulting Numbers: [159]
159,27 unequal: No Solution
Exploring Operation: 55*104=5720, Resulting Numbers: [5720]
5720,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,2
Current State: 27:[9, 12], Operations: ['78-69=9', '35-23=12']
Exploring Operation: 9*12=108, Resulting Numbers: [108]
108,27 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[23, 26], Operations: ['78-35=43', '69-43=26']
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,27 unequal: No Solution
Moving to Node #0,4,4
Current State: 27:[23, 26], Operations: ['78-69=9', '35-9=26']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,27 unequal: No Solution
Moving to Node #0,4,1
Current State: 27:[35, 14], Operations: ['78-69=9', '23-9=14']
Exploring Operation: 35*14=490, Resulting Numbers: [490]
490,27 unequal: No Solution
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Moving to Node #0,4,3
Current State: 27:[35, 32], Operations: ['78-69=9', '23+9=32']
Exploring Operation: 35*32=1120, Resulting Numbers: [1120]
1120,27 unequal: No Solution
Exploring Operation: 35+32=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 35-32=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,2,0
Current State: 27:[43, 3], Operations: ['78-35=43', '69/23=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,27 unequal: No Solution
Moving to Node #0,4,0
Current State: 27:[23, 44], Operations: ['78-69=9', '35+9=44']
Exploring Operation: 23*44=1012, Resulting Numbers: [1012]
1012,27 unequal: No Solution
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,27 unequal: No Solution
Exploring Operation: 44-23=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Moving to Node #0,2,4
Current State: 27:[43, 46], Operations: ['78-35=43', '69-23=46']
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 43*46=1978, Resulting Numbers: [1978]
1978,27 unequal: No Solution
Moving to Node #0,2,3
Current State: 27:[69, 20], Operations: ['78-35=43', '43-23=20']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,27 unequal: No Solution
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[43, 92], Operations: ['78-35=43', '69+23=92']
Exploring Operation: 92-43=49, Resulting Numbers: [49]
49,27 unequal: No Solution
Exploring Operation: 43*92=3956, Resulting Numbers: [3956]
3956,27 unequal: No Solution
Exploring Operation: 43+92=135, Resulting Numbers: [135]
135,27 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
5,
25,
14,
3
] | 37 | [
"5*25=125",
"125-14=111",
"111/3=37"
] | Current State: 37:[5, 25, 14, 3], Operations: []
Exploring Operation: 5*25=125, Resulting Numbers: [14, 3, 125]
Generated Node #2: [14, 3, 125] from Operation: 5*25=125
Current State: 37:[14, 3, 125], Operations: ['5*25=125']
Exploring Operation: 125-14=111, Resulting Numbers: [3, 111]
Generated Node #3: [3, 111] from Operation: 125-14=111
Current State: 37:[3, 111], Operations: ['5*25=125', '125-14=111']
Exploring Operation: 111/3=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[5, 25, 14, 3], Operations: []
Exploring Operation: 5+14=19, Resulting Numbers: [25, 3, 19]
Generated Node #0,0: 37:[25, 3, 19] Operation: 5+14=19
Exploring Operation: 5+25=30, Resulting Numbers: [14, 3, 30]
Generated Node #0,1: 37:[14, 3, 30] Operation: 5+25=30
Exploring Operation: 14*3=42, Resulting Numbers: [5, 25, 42]
Generated Node #0,2: 37:[5, 25, 42] Operation: 14*3=42
Exploring Operation: 5+3=8, Resulting Numbers: [25, 14, 8]
Generated Node #0,3: 37:[25, 14, 8] Operation: 5+3=8
Exploring Operation: 5*3=15, Resulting Numbers: [25, 14, 15]
Generated Node #0,4: 37:[25, 14, 15] Operation: 5*3=15
Moving to Node #0,2
Current State: 37:[5, 25, 42], Operations: ['14*3=42']
Exploring Operation: 5+25=30, Resulting Numbers: [42, 30]
Generated Node #0,2,0: 37:[42, 30] Operation: 5+25=30
Exploring Operation: 25/5=5, Resulting Numbers: [42, 5]
Generated Node #0,2,1: 37:[42, 5] Operation: 25/5=5
Exploring Operation: 5+42=47, Resulting Numbers: [25, 47]
Generated Node #0,2,2: 37:[25, 47] Operation: 5+42=47
Exploring Operation: 25-5=20, Resulting Numbers: [42, 20]
Generated Node #0,2,3: 37:[42, 20] Operation: 25-5=20
Exploring Operation: 42-5=37, Resulting Numbers: [25, 37]
Generated Node #0,2,4: 37:[25, 37] Operation: 42-5=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 37:[42, 30], Operations: ['14*3=42', '5+25=30']
Exploring Operation: 42+30=72, Resulting Numbers: [72]
72,37 unequal: No Solution
Exploring Operation: 42*30=1260, Resulting Numbers: [1260]
1260,37 unequal: No Solution
Exploring Operation: 42-30=12, Resulting Numbers: [12]
12,37 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 #0,2,4
Current State: 37:[25, 37], Operations: ['14*3=42', '42-5=37']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,37 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,37 unequal: No Solution
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,37 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 #0,2,2
Current State: 37:[25, 47], Operations: ['14*3=42', '5+42=47']
Exploring Operation: 25*47=1175, Resulting Numbers: [1175]
1175,37 unequal: No Solution
Exploring Operation: 47-25=22, Resulting Numbers: [22]
22,37 unequal: No Solution
Exploring Operation: 25+47=72, Resulting Numbers: [72]
72,37 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 #0,2,3
Current State: 37:[42, 20], Operations: ['14*3=42', '25-5=20']
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,37 unequal: No Solution
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,37 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 #0,2,1
Current State: 37:[42, 5], Operations: ['14*3=42', '25/5=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[5, 25, 14, 3], Operations: []
Exploring Operation: 14*3=42, Resulting Numbers: [5, 25, 42]
Generated Node #0,2: 37:[5, 25, 42] Operation: 14*3=42
Moving to Node #0,2
Current State: 37:[5, 25, 42], Operations: ['14*3=42']
Exploring Operation: 25/5=5, Resulting Numbers: [42, 5]
Generated Node #0,2,1: 37:[42, 5] Operation: 25/5=5
Moving to Node #0,2,1
Current State: 37:[42, 5], Operations: ['14*3=42', '25/5=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_5 | sum_heuristic |
[
3,
47,
44,
7
] | 76 | [
"47-7=40",
"3*40=120",
"120-44=76"
] | Current State: 76:[3, 47, 44, 7], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [3, 44, 40]
Generated Node #2: [3, 44, 40] from Operation: 47-7=40
Current State: 76:[3, 44, 40], Operations: ['47-7=40']
Exploring Operation: 3*40=120, Resulting Numbers: [44, 120]
Generated Node #3: [44, 120] from Operation: 3*40=120
Current State: 76:[44, 120], Operations: ['47-7=40', '3*40=120']
Exploring Operation: 120-44=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[3, 47, 44, 7], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [44, 7, 44]
Generated Node #0,0: 76:[44, 7, 44] Operation: 47-3=44
Exploring Operation: 47-7=40, Resulting Numbers: [3, 44, 40]
Generated Node #0,1: 76:[3, 44, 40] Operation: 47-7=40
Exploring Operation: 47-44=3, Resulting Numbers: [3, 7, 3]
Generated Node #0,2: 76:[3, 7, 3] Operation: 47-44=3
Exploring Operation: 44-7=37, Resulting Numbers: [3, 47, 37]
Generated Node #0,3: 76:[3, 47, 37] Operation: 44-7=37
Moving to Node #0,2
Current State: 76:[3, 7, 3], Operations: ['47-44=3']
Exploring Operation: 3*7=21, Resulting Numbers: [3, 21]
Generated Node #0,2,0: 76:[3, 21] Operation: 3*7=21
Exploring Operation: 7*3=21, Resulting Numbers: [3, 21]
Generated Node #0,2,1: 76:[3, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [3, 4]
Generated Node #0,2,2: 76:[3, 4] Operation: 7-3=4
Exploring Operation: 7-3=4, Resulting Numbers: [3, 4]
Generated Node #0,2,3: 76:[3, 4] Operation: 7-3=4
Moving to Node #0,1
Current State: 76:[3, 44, 40], Operations: ['47-7=40']
Exploring Operation: 44-40=4, Resulting Numbers: [3, 4]
Generated Node #0,1,0: 76:[3, 4] Operation: 44-40=4
Exploring Operation: 40-3=37, Resulting Numbers: [44, 37]
Generated Node #0,1,1: 76:[44, 37] Operation: 40-3=37
Exploring Operation: 44-3=41, Resulting Numbers: [40, 41]
Generated Node #0,1,2: 76:[40, 41] Operation: 44-3=41
Exploring Operation: 44+40=84, Resulting Numbers: [3, 84]
Generated Node #0,1,3: 76:[3, 84] Operation: 44+40=84
Moving to Node #0,3
Current State: 76:[3, 47, 37], Operations: ['44-7=37']
Exploring Operation: 47-3=44, Resulting Numbers: [37, 44]
Generated Node #0,3,0: 76:[37, 44] Operation: 47-3=44
Exploring Operation: 47+37=84, Resulting Numbers: [3, 84]
Generated Node #0,3,1: 76:[3, 84] Operation: 47+37=84
Exploring Operation: 47-37=10, Resulting Numbers: [3, 10]
Generated Node #0,3,2: 76:[3, 10] Operation: 47-37=10
Exploring Operation: 3+37=40, Resulting Numbers: [47, 40]
Generated Node #0,3,3: 76:[47, 40] Operation: 3+37=40
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[37, 44], Operations: ['44-7=37', '47-3=44']
Exploring Operation: 37*44=1628, Resulting Numbers: [1628]
1628,76 unequal: No Solution
Exploring Operation: 37+44=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,76 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 #0,3,2
Current State: 76:[3, 10], Operations: ['44-7=37', '47-37=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,76 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,76 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,76 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 #0,3,1
Current State: 76:[3, 84], Operations: ['44-7=37', '47+37=84']
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,76 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 #0,3,3
Current State: 76:[47, 40], Operations: ['44-7=37', '3+37=40']
Exploring Operation: 47+40=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 47-40=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 47*40=1880, Resulting Numbers: [1880]
1880,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 76:[44, 7, 44], Operations: ['47-3=44']
Exploring Operation: 44-7=37, Resulting Numbers: [44, 37]
Generated Node #0,0,0: 76:[44, 37] Operation: 44-7=37
Exploring Operation: 44-7=37, Resulting Numbers: [44, 37]
Generated Node #0,0,1: 76:[44, 37] Operation: 44-7=37
Exploring Operation: 44/44=1, Resulting Numbers: [7, 1]
Generated Node #0,0,2: 76:[7, 1] Operation: 44/44=1
Exploring Operation: 44-44=0, Resulting Numbers: [7, 0]
Generated Node #0,0,3: 76:[7, 0] Operation: 44-44=0
Moving to Node #0,2,2
Current State: 76:[3, 4], Operations: ['47-44=3', '7-3=4']
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
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,2,3
Current State: 76:[3, 4], Operations: ['47-44=3', '7-3=4']
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
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[3, 4], Operations: ['47-7=40', '44-40=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 #0,2,0
Current State: 76:[3, 21], Operations: ['47-44=3', '3*7=21']
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Moving to Node #0,2,1
Current State: 76:[3, 21], Operations: ['47-44=3', '7*3=21']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,76 unequal: No Solution
Exploring Operation: 3+21=24, Resulting Numbers: [24]
24,76 unequal: No Solution
Exploring Operation: 3*21=63, Resulting Numbers: [63]
63,76 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,0,2
Current State: 76:[7, 1], Operations: ['47-3=44', '44/44=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,1,2
Current State: 76:[40, 41], Operations: ['47-7=40', '44-3=41']
Exploring Operation: 41-40=1, Resulting Numbers: [1]
1,76 unequal: No Solution
Exploring Operation: 40+41=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 40*41=1640, Resulting Numbers: [1640]
1640,76 unequal: No Solution
Moving to Node #0,0,3
Current State: 76:[7, 0], Operations: ['47-3=44', '44-44=0']
Exploring Operation: 7*0=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[44, 37], Operations: ['47-3=44', '44-7=37']
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,76 unequal: No Solution
Moving to Node #0,0,0
Current State: 76:[44, 37], Operations: ['47-3=44', '44-7=37']
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[44, 37], Operations: ['47-7=40', '40-3=37']
Exploring Operation: 44*37=1628, Resulting Numbers: [1628]
1628,76 unequal: No Solution
Exploring Operation: 44+37=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 44-37=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[3, 84], Operations: ['47-7=40', '44+40=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,76 unequal: No Solution
Exploring Operation: 3*84=252, Resulting Numbers: [252]
252,76 unequal: No Solution
Exploring Operation: 3+84=87, Resulting Numbers: [87]
87,76 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,76 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
6,
33,
48,
30
] | 96 | [
"6*48=288",
"33-30=3",
"288/3=96"
] | Current State: 96:[6, 33, 48, 30], Operations: []
Exploring Operation: 6*48=288, Resulting Numbers: [33, 30, 288]
Generated Node #2: [33, 30, 288] from Operation: 6*48=288
Current State: 96:[33, 30, 288], Operations: ['6*48=288']
Exploring Operation: 33-30=3, Resulting Numbers: [288, 3]
Generated Node #3: [288, 3] from Operation: 33-30=3
Current State: 96:[288, 3], Operations: ['6*48=288', '33-30=3']
Exploring Operation: 288/3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[6, 33, 48, 30], Operations: []
Exploring Operation: 30-6=24, Resulting Numbers: [33, 48, 24]
Generated Node #0,0: 96:[33, 48, 24] Operation: 30-6=24
Exploring Operation: 33-30=3, Resulting Numbers: [6, 48, 3]
Generated Node #0,1: 96:[6, 48, 3] Operation: 33-30=3
Exploring Operation: 30/6=5, Resulting Numbers: [33, 48, 5]
Generated Node #0,2: 96:[33, 48, 5] Operation: 30/6=5
Moving to Node #0,1
Current State: 96:[6, 48, 3], Operations: ['33-30=3']
Exploring Operation: 6/3=2, Resulting Numbers: [48, 2]
Generated Node #0,1,0: 96:[48, 2] Operation: 6/3=2
Exploring Operation: 48/6=8, Resulting Numbers: [3, 8]
Generated Node #0,1,1: 96:[3, 8] Operation: 48/6=8
Exploring Operation: 6-3=3, Resulting Numbers: [48, 3]
Generated Node #0,1,2: 96:[48, 3] Operation: 6-3=3
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[48, 2], Operations: ['33-30=3', '6/3=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[6, 33, 48, 30], Operations: []
Exploring Operation: 33-30=3, Resulting Numbers: [6, 48, 3]
Generated Node #0,1: 96:[6, 48, 3] Operation: 33-30=3
Moving to Node #0,1
Current State: 96:[6, 48, 3], Operations: ['33-30=3']
Exploring Operation: 6/3=2, Resulting Numbers: [48, 2]
Generated Node #0,1,0: 96:[48, 2] Operation: 6/3=2
Moving to Node #0,1,0
Current State: 96:[48, 2], Operations: ['33-30=3', '6/3=2']
Exploring Operation: 48*2=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
98,
75,
1,
15
] | 92 | [
"98-1=97",
"75/15=5",
"97-5=92"
] | Current State: 92:[98, 75, 1, 15], Operations: []
Exploring Operation: 98-1=97, Resulting Numbers: [75, 15, 97]
Generated Node #2: [75, 15, 97] from Operation: 98-1=97
Current State: 92:[75, 15, 97], Operations: ['98-1=97']
Exploring Operation: 75/15=5, Resulting Numbers: [97, 5]
Generated Node #3: [97, 5] from Operation: 75/15=5
Current State: 92:[97, 5], Operations: ['98-1=97', '75/15=5']
Exploring Operation: 97-5=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[98, 75, 1, 15], Operations: []
Exploring Operation: 98-75=23, Resulting Numbers: [1, 15, 23]
Generated Node #0,0: 92:[1, 15, 23] Operation: 98-75=23
Exploring Operation: 75/15=5, Resulting Numbers: [98, 1, 5]
Generated Node #0,1: 92:[98, 1, 5] Operation: 75/15=5
Moving to Node #0,1
Current State: 92:[98, 1, 5], Operations: ['75/15=5']
Exploring Operation: 98-1=97, Resulting Numbers: [5, 97]
Generated Node #0,1,0: 92:[5, 97] Operation: 98-1=97
Exploring Operation: 98-5=93, Resulting Numbers: [1, 93]
Generated Node #0,1,1: 92:[1, 93] Operation: 98-5=93
Moving to Node #0,0
Current State: 92:[1, 15, 23], Operations: ['98-75=23']
Exploring Operation: 1+15=16, Resulting Numbers: [23, 16]
Generated Node #0,0,0: 92:[23, 16] Operation: 1+15=16
Exploring Operation: 23-15=8, Resulting Numbers: [1, 8]
Generated Node #0,0,1: 92:[1, 8] Operation: 23-15=8
Moving to Node #0,1,1
Current State: 92:[1, 93], Operations: ['75/15=5', '98-5=93']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[98, 75, 1, 15], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [98, 1, 5]
Generated Node #0,1: 92:[98, 1, 5] Operation: 75/15=5
Moving to Node #0,1
Current State: 92:[98, 1, 5], Operations: ['75/15=5']
Exploring Operation: 98-5=93, Resulting Numbers: [1, 93]
Generated Node #0,1,1: 92:[1, 93] Operation: 98-5=93
Moving to Node #0,1,1
Current State: 92:[1, 93], Operations: ['75/15=5', '98-5=93']
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
49,
54,
37,
43
] | 52 | [
"49+37=86",
"86/43=2",
"54-2=52"
] | Current State: 52:[49, 54, 37, 43], Operations: []
Exploring Operation: 49+37=86, Resulting Numbers: [54, 43, 86]
Generated Node #2: [54, 43, 86] from Operation: 49+37=86
Current State: 52:[54, 43, 86], Operations: ['49+37=86']
Exploring Operation: 86/43=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 86/43=2
Current State: 52:[54, 2], Operations: ['49+37=86', '86/43=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[49, 54, 37, 43], Operations: []
Exploring Operation: 43-37=6, Resulting Numbers: [49, 54, 6]
Generated Node #0,0: 52:[49, 54, 6] Operation: 43-37=6
Moving to Node #0,0
Current State: 52:[49, 54, 6], Operations: ['43-37=6']
Exploring Operation: 54-49=5, Resulting Numbers: [6, 5]
Generated Node #0,0,0: 52:[6, 5] Operation: 54-49=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[6, 5], Operations: ['43-37=6', '54-49=5']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,52 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,
96,
46,
98
] | 64 | [
"96-16=80",
"46+98=144",
"144-80=64"
] | Current State: 64:[16, 96, 46, 98], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [46, 98, 80]
Generated Node #2: [46, 98, 80] from Operation: 96-16=80
Current State: 64:[46, 98, 80], Operations: ['96-16=80']
Exploring Operation: 46+98=144, Resulting Numbers: [80, 144]
Generated Node #3: [80, 144] from Operation: 46+98=144
Current State: 64:[80, 144], Operations: ['96-16=80', '46+98=144']
Exploring Operation: 144-80=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[16, 96, 46, 98], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [16, 98, 50]
Generated Node #0,0: 64:[16, 98, 50] Operation: 96-46=50
Exploring Operation: 98-96=2, Resulting Numbers: [16, 46, 2]
Generated Node #0,1: 64:[16, 46, 2] Operation: 98-96=2
Exploring Operation: 98-46=52, Resulting Numbers: [16, 96, 52]
Generated Node #0,2: 64:[16, 96, 52] Operation: 98-46=52
Moving to Node #0,1
Current State: 64:[16, 46, 2], Operations: ['98-96=2']
Exploring Operation: 16+46=62, Resulting Numbers: [2, 62]
Generated Node #0,1,0: 64:[2, 62] Operation: 16+46=62
Exploring Operation: 46/2=23, Resulting Numbers: [16, 23]
Generated Node #0,1,1: 64:[16, 23] Operation: 46/2=23
Exploring Operation: 46-16=30, Resulting Numbers: [2, 30]
Generated Node #0,1,2: 64:[2, 30] Operation: 46-16=30
Moving to Node #0,2
Current State: 64:[16, 96, 52], Operations: ['98-46=52']
Exploring Operation: 96/16=6, Resulting Numbers: [52, 6]
Generated Node #0,2,0: 64:[52, 6] Operation: 96/16=6
Exploring Operation: 96-52=44, Resulting Numbers: [16, 44]
Generated Node #0,2,1: 64:[16, 44] Operation: 96-52=44
Exploring Operation: 96-16=80, Resulting Numbers: [52, 80]
Generated Node #0,2,2: 64:[52, 80] Operation: 96-16=80
Moving to Node #0,0
Current State: 64:[16, 98, 50], Operations: ['96-46=50']
Exploring Operation: 16+50=66, Resulting Numbers: [98, 66]
Generated Node #0,0,0: 64:[98, 66] Operation: 16+50=66
Exploring Operation: 98-16=82, Resulting Numbers: [50, 82]
Generated Node #0,0,1: 64:[50, 82] Operation: 98-16=82
Exploring Operation: 98-50=48, Resulting Numbers: [16, 48]
Generated Node #0,0,2: 64:[16, 48] Operation: 98-50=48
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[16, 48], Operations: ['96-46=50', '98-50=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Moving to Node #0
Current State: 64:[16, 96, 46, 98], Operations: []
Exploring Operation: 96-46=50, Resulting Numbers: [16, 98, 50]
Generated Node #0,0: 64:[16, 98, 50] Operation: 96-46=50
Moving to Node #0,0
Current State: 64:[16, 98, 50], Operations: ['96-46=50']
Exploring Operation: 98-50=48, Resulting Numbers: [16, 48]
Generated Node #0,0,2: 64:[16, 48] Operation: 98-50=48
Moving to Node #0,0,2
Current State: 64:[16, 48], Operations: ['96-46=50', '98-50=48']
Exploring Operation: 16+48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
77,
71,
65,
79
] | 68 | [
"79-77=2",
"71+65=136",
"136/2=68"
] | Current State: 68:[77, 71, 65, 79], Operations: []
Exploring Operation: 79-77=2, Resulting Numbers: [71, 65, 2]
Generated Node #2: [71, 65, 2] from Operation: 79-77=2
Current State: 68:[71, 65, 2], Operations: ['79-77=2']
Exploring Operation: 71+65=136, Resulting Numbers: [2, 136]
Generated Node #3: [2, 136] from Operation: 71+65=136
Current State: 68:[2, 136], Operations: ['79-77=2', '71+65=136']
Exploring Operation: 136/2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[77, 71, 65, 79], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [77, 71, 14]
Generated Node #0,0: 68:[77, 71, 14] Operation: 79-65=14
Exploring Operation: 79-77=2, Resulting Numbers: [71, 65, 2]
Generated Node #0,1: 68:[71, 65, 2] Operation: 79-77=2
Exploring Operation: 77-71=6, Resulting Numbers: [65, 79, 6]
Generated Node #0,2: 68:[65, 79, 6] Operation: 77-71=6
Moving to Node #0,1
Current State: 68:[71, 65, 2], Operations: ['79-77=2']
Exploring Operation: 71-65=6, Resulting Numbers: [2, 6]
Generated Node #0,1,0: 68:[2, 6] Operation: 71-65=6
Exploring Operation: 65+2=67, Resulting Numbers: [71, 67]
Generated Node #0,1,1: 68:[71, 67] Operation: 65+2=67
Exploring Operation: 71-2=69, Resulting Numbers: [65, 69]
Generated Node #0,1,2: 68:[65, 69] Operation: 71-2=69
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[2, 6], Operations: ['79-77=2', '71-65=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[71, 67], Operations: ['79-77=2', '65+2=67']
Exploring Operation: 71-67=4, Resulting Numbers: [4]
4,68 unequal: No Solution
Exploring Operation: 71+67=138, Resulting Numbers: [138]
138,68 unequal: No Solution
Exploring Operation: 71*67=4757, Resulting Numbers: [4757]
4757,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 68:[65, 69], Operations: ['79-77=2', '71-2=69']
Exploring Operation: 65*69=4485, Resulting Numbers: [4485]
4485,68 unequal: No Solution
Exploring Operation: 65+69=134, Resulting Numbers: [134]
134,68 unequal: No Solution
Exploring Operation: 69-65=4, Resulting Numbers: [4]
4,68 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: 68:[77, 71, 14], Operations: ['79-65=14']
Exploring Operation: 77-14=63, Resulting Numbers: [71, 63]
Generated Node #0,0,0: 68:[71, 63] Operation: 77-14=63
Exploring Operation: 71-14=57, Resulting Numbers: [77, 57]
Generated Node #0,0,1: 68:[77, 57] Operation: 71-14=57
Exploring Operation: 77-71=6, Resulting Numbers: [14, 6]
Generated Node #0,0,2: 68:[14, 6] Operation: 77-71=6
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 68:[14, 6], Operations: ['79-65=14', '77-71=6']
Exploring Operation: 14*6=84, Resulting Numbers: [84]
84,68 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 14+6=20, Resulting Numbers: [20]
20,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 68:[71, 63], Operations: ['79-65=14', '77-14=63']
Exploring Operation: 71+63=134, Resulting Numbers: [134]
134,68 unequal: No Solution
Exploring Operation: 71*63=4473, Resulting Numbers: [4473]
4473,68 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 68:[77, 57], Operations: ['79-65=14', '71-14=57']
Exploring Operation: 77+57=134, Resulting Numbers: [134]
134,68 unequal: No Solution
Exploring Operation: 77*57=4389, Resulting Numbers: [4389]
4389,68 unequal: No Solution
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,68 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: 68:[65, 79, 6], Operations: ['77-71=6']
Exploring Operation: 79-6=73, Resulting Numbers: [65, 73]
Generated Node #0,2,0: 68:[65, 73] Operation: 79-6=73
Exploring Operation: 79-65=14, Resulting Numbers: [6, 14]
Generated Node #0,2,1: 68:[6, 14] Operation: 79-65=14
Exploring Operation: 65+6=71, Resulting Numbers: [79, 71]
Generated Node #0,2,2: 68:[79, 71] Operation: 65+6=71
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 68:[6, 14], Operations: ['77-71=6', '79-65=14']
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,68 unequal: No Solution
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 68:[65, 73], Operations: ['77-71=6', '79-6=73']
Exploring Operation: 65+73=138, Resulting Numbers: [138]
138,68 unequal: No Solution
Exploring Operation: 73-65=8, Resulting Numbers: [8]
8,68 unequal: No Solution
Exploring Operation: 65*73=4745, Resulting Numbers: [4745]
4745,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 68:[79, 71], Operations: ['77-71=6', '65+6=71']
Exploring Operation: 79*71=5609, Resulting Numbers: [5609]
5609,68 unequal: No Solution
Exploring Operation: 79+71=150, Resulting Numbers: [150]
150,68 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
48,
11,
68,
14
] | 23 | [
"48+11=59",
"68+14=82",
"82-59=23"
] | Current State: 23:[48, 11, 68, 14], Operations: []
Exploring Operation: 48+11=59, Resulting Numbers: [68, 14, 59]
Generated Node #2: [68, 14, 59] from Operation: 48+11=59
Current State: 23:[68, 14, 59], Operations: ['48+11=59']
Exploring Operation: 68+14=82, Resulting Numbers: [59, 82]
Generated Node #3: [59, 82] from Operation: 68+14=82
Current State: 23:[59, 82], Operations: ['48+11=59', '68+14=82']
Exploring Operation: 82-59=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[48, 11, 68, 14], Operations: []
Exploring Operation: 48-11=37, Resulting Numbers: [68, 14, 37]
Generated Node #0,0: 23:[68, 14, 37] Operation: 48-11=37
Exploring Operation: 68-11=57, Resulting Numbers: [48, 14, 57]
Generated Node #0,1: 23:[48, 14, 57] Operation: 68-11=57
Exploring Operation: 48-14=34, Resulting Numbers: [11, 68, 34]
Generated Node #0,2: 23:[11, 68, 34] Operation: 48-14=34
Exploring Operation: 68-48=20, Resulting Numbers: [11, 14, 20]
Generated Node #0,3: 23:[11, 14, 20] Operation: 68-48=20
Moving to Node #0,3
Current State: 23:[11, 14, 20], Operations: ['68-48=20']
Exploring Operation: 11+20=31, Resulting Numbers: [14, 31]
Generated Node #0,3,0: 23:[14, 31] Operation: 11+20=31
Exploring Operation: 20-11=9, Resulting Numbers: [14, 9]
Generated Node #0,3,1: 23:[14, 9] Operation: 20-11=9
Exploring Operation: 14-11=3, Resulting Numbers: [20, 3]
Generated Node #0,3,2: 23:[20, 3] Operation: 14-11=3
Exploring Operation: 11+14=25, Resulting Numbers: [20, 25]
Generated Node #0,3,3: 23:[20, 25] Operation: 11+14=25
Moving to Node #0,1
Current State: 23:[48, 14, 57], Operations: ['68-11=57']
Exploring Operation: 48-14=34, Resulting Numbers: [57, 34]
Generated Node #0,1,0: 23:[57, 34] Operation: 48-14=34
Exploring Operation: 57-48=9, Resulting Numbers: [14, 9]
Generated Node #0,1,1: 23:[14, 9] Operation: 57-48=9
Exploring Operation: 48+14=62, Resulting Numbers: [57, 62]
Generated Node #0,1,2: 23:[57, 62] Operation: 48+14=62
Exploring Operation: 57-14=43, Resulting Numbers: [48, 43]
Generated Node #0,1,3: 23:[48, 43] Operation: 57-14=43
Moving to Node #0,0
Current State: 23:[68, 14, 37], Operations: ['48-11=37']
Exploring Operation: 68+14=82, Resulting Numbers: [37, 82]
Generated Node #0,0,0: 23:[37, 82] Operation: 68+14=82
Exploring Operation: 68-37=31, Resulting Numbers: [14, 31]
Generated Node #0,0,1: 23:[14, 31] Operation: 68-37=31
Exploring Operation: 37-14=23, Resulting Numbers: [68, 23]
Generated Node #0,0,2: 23:[68, 23] Operation: 37-14=23
Exploring Operation: 68-14=54, Resulting Numbers: [37, 54]
Generated Node #0,0,3: 23:[37, 54] Operation: 68-14=54
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 23:[14, 31], Operations: ['48-11=37', '68-37=31']
Exploring Operation: 14*31=434, Resulting Numbers: [434]
434,23 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 23:[68, 23], Operations: ['48-11=37', '37-14=23']
Exploring Operation: 68+23=91, Resulting Numbers: [91]
91,23 unequal: No Solution
Exploring Operation: 68*23=1564, Resulting Numbers: [1564]
1564,23 unequal: No Solution
Exploring Operation: 68-23=45, Resulting Numbers: [45]
45,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 23:[37, 54], Operations: ['48-11=37', '68-14=54']
Exploring Operation: 37*54=1998, Resulting Numbers: [1998]
1998,23 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Exploring Operation: 37+54=91, Resulting Numbers: [91]
91,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 23:[37, 82], Operations: ['48-11=37', '68+14=82']
Exploring Operation: 82-37=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 37*82=3034, Resulting Numbers: [3034]
3034,23 unequal: No Solution
Exploring Operation: 37+82=119, Resulting Numbers: [119]
119,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 23:[11, 68, 34], Operations: ['48-14=34']
Exploring Operation: 68-11=57, Resulting Numbers: [34, 57]
Generated Node #0,2,0: 23:[34, 57] Operation: 68-11=57
Exploring Operation: 34-11=23, Resulting Numbers: [68, 23]
Generated Node #0,2,1: 23:[68, 23] Operation: 34-11=23
Exploring Operation: 68/34=2, Resulting Numbers: [11, 2]
Generated Node #0,2,2: 23:[11, 2] Operation: 68/34=2
Exploring Operation: 68-34=34, Resulting Numbers: [11, 34]
Generated Node #0,2,3: 23:[11, 34] Operation: 68-34=34
Moving to Node #0,3,3
Current State: 23:[20, 25], Operations: ['68-48=20', '11+14=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,23 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[14, 31], Operations: ['68-48=20', '11+20=31']
Exploring Operation: 14+31=45, Resulting Numbers: [45]
45,23 unequal: No Solution
Exploring Operation: 14*31=434, Resulting Numbers: [434]
434,23 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[14, 9], Operations: ['68-48=20', '20-11=9']
Exploring Operation: 14*9=126, Resulting Numbers: [126]
126,23 unequal: No Solution
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,23 unequal: No Solution
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[48, 11, 68, 14], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [11, 14, 20]
Generated Node #0,3: 23:[11, 14, 20] Operation: 68-48=20
Moving to Node #0,3
Current State: 23:[11, 14, 20], Operations: ['68-48=20']
Exploring Operation: 20-11=9, Resulting Numbers: [14, 9]
Generated Node #0,3,1: 23:[14, 9] Operation: 20-11=9
Moving to Node #0,3,1
Current State: 23:[14, 9], Operations: ['68-48=20', '20-11=9']
Exploring Operation: 14+9=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.960938 | hs_4 | sum_heuristic |
[
44,
27,
98,
78
] | 23 | [
"98+78=176",
"176/44=4",
"27-4=23"
] | Current State: 23:[44, 27, 98, 78], Operations: []
Exploring Operation: 98+78=176, Resulting Numbers: [44, 27, 176]
Generated Node #2: [44, 27, 176] from Operation: 98+78=176
Current State: 23:[44, 27, 176], Operations: ['98+78=176']
Exploring Operation: 176/44=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 176/44=4
Current State: 23:[27, 4], Operations: ['98+78=176', '176/44=4']
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[44, 27, 98, 78], Operations: []
Exploring Operation: 98-44=54, Resulting Numbers: [27, 78, 54]
Generated Node #0,0: 23:[27, 78, 54] Operation: 98-44=54
Exploring Operation: 78-44=34, Resulting Numbers: [27, 98, 34]
Generated Node #0,1: 23:[27, 98, 34] Operation: 78-44=34
Exploring Operation: 98-78=20, Resulting Numbers: [44, 27, 20]
Generated Node #0,2: 23:[44, 27, 20] Operation: 98-78=20
Exploring Operation: 98-27=71, Resulting Numbers: [44, 78, 71]
Generated Node #0,3: 23:[44, 78, 71] Operation: 98-27=71
Start Sub Search at level 1: Moving to Node #0,2
Current State: 23:[44, 27, 20], Operations: ['98-78=20']
Exploring Operation: 44+20=64, Resulting Numbers: [27, 64]
Generated Node #0,2,0: 23:[27, 64] Operation: 44+20=64
Exploring Operation: 27-20=7, Resulting Numbers: [44, 7]
Generated Node #0,2,1: 23:[44, 7] Operation: 27-20=7
Exploring Operation: 44-20=24, Resulting Numbers: [27, 24]
Generated Node #0,2,2: 23:[27, 24] Operation: 44-20=24
Exploring Operation: 44-27=17, Resulting Numbers: [20, 17]
Generated Node #0,2,3: 23:[20, 17] Operation: 44-27=17
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 23:[27, 24], Operations: ['98-78=20', '44-20=24']
Exploring Operation: 27*24=648, Resulting Numbers: [648]
648,23 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,23 unequal: No Solution
No 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: 23:[20, 17], Operations: ['98-78=20', '44-27=17']
Exploring Operation: 20*17=340, Resulting Numbers: [340]
340,23 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,23 unequal: No Solution
No 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: 23:[44, 7], Operations: ['98-78=20', '27-20=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,23 unequal: No Solution
No 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: 23:[27, 64], Operations: ['98-78=20', '44+20=64']
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,23 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,23 unequal: No Solution
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,23 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: 23:[27, 78, 54], Operations: ['98-44=54']
Exploring Operation: 78-54=24, Resulting Numbers: [27, 24]
Generated Node #0,0,0: 23:[27, 24] Operation: 78-54=24
Exploring Operation: 54-27=27, Resulting Numbers: [78, 27]
Generated Node #0,0,1: 23:[78, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [78, 2]
Generated Node #0,0,2: 23:[78, 2] Operation: 54/27=2
Exploring Operation: 78-27=51, Resulting Numbers: [54, 51]
Generated Node #0,0,3: 23:[54, 51] Operation: 78-27=51
Moving to Node #0,0,0
Current State: 23:[27, 24], Operations: ['98-44=54', '78-54=24']
Exploring Operation: 27*24=648, Resulting Numbers: [648]
648,23 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[54, 51], Operations: ['98-44=54', '78-27=51']
Exploring Operation: 54*51=2754, Resulting Numbers: [2754]
2754,23 unequal: No Solution
Exploring Operation: 54+51=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 54-51=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[78, 27], Operations: ['98-44=54', '54-27=27']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,23 unequal: No Solution
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[78, 2], Operations: ['98-44=54', '54/27=2']
Exploring Operation: 78+2=80, Resulting Numbers: [80]
80,23 unequal: No Solution
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,23 unequal: No Solution
Exploring Operation: 78/2=39, Resulting Numbers: [39]
39,23 unequal: No Solution
Exploring Operation: 78*2=156, Resulting Numbers: [156]
156,23 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
Current State: 23:[27, 98, 34], Operations: ['78-44=34']
Exploring Operation: 27+98=125, Resulting Numbers: [34, 125]
Generated Node #0,1,0: 23:[34, 125] Operation: 27+98=125
Exploring Operation: 34-27=7, Resulting Numbers: [98, 7]
Generated Node #0,1,1: 23:[98, 7] Operation: 34-27=7
Exploring Operation: 98-34=64, Resulting Numbers: [27, 64]
Generated Node #0,1,2: 23:[27, 64] Operation: 98-34=64
Exploring Operation: 98-27=71, Resulting Numbers: [34, 71]
Generated Node #0,1,3: 23:[34, 71] Operation: 98-27=71
Moving to Node #0,1,2
Current State: 23:[27, 64], Operations: ['78-44=34', '98-34=64']
Exploring Operation: 64-27=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Exploring Operation: 27*64=1728, Resulting Numbers: [1728]
1728,23 unequal: No Solution
Exploring Operation: 27+64=91, Resulting Numbers: [91]
91,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[34, 71], Operations: ['78-44=34', '98-27=71']
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Exploring Operation: 34+71=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 34*71=2414, Resulting Numbers: [2414]
2414,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[98, 7], Operations: ['78-44=34', '34-27=7']
Exploring Operation: 98*7=686, Resulting Numbers: [686]
686,23 unequal: No Solution
Exploring Operation: 98+7=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 98/7=14, Resulting Numbers: [14]
14,23 unequal: No Solution
Exploring Operation: 98-7=91, Resulting Numbers: [91]
91,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[34, 125], Operations: ['78-44=34', '27+98=125']
Exploring Operation: 34*125=4250, Resulting Numbers: [4250]
4250,23 unequal: No Solution
Exploring Operation: 34+125=159, Resulting Numbers: [159]
159,23 unequal: No Solution
Exploring Operation: 125-34=91, Resulting Numbers: [91]
91,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 23:[44, 78, 71], Operations: ['98-27=71']
Exploring Operation: 44+78=122, Resulting Numbers: [71, 122]
Generated Node #0,3,0: 23:[71, 122] Operation: 44+78=122
Exploring Operation: 78-71=7, Resulting Numbers: [44, 7]
Generated Node #0,3,1: 23:[44, 7] Operation: 78-71=7
Exploring Operation: 78-44=34, Resulting Numbers: [71, 34]
Generated Node #0,3,2: 23:[71, 34] Operation: 78-44=34
Exploring Operation: 71-44=27, Resulting Numbers: [78, 27]
Generated Node #0,3,3: 23:[78, 27] Operation: 71-44=27
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 23:[44, 7], Operations: ['98-27=71', '78-71=7']
Exploring Operation: 44+7=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 44*7=308, Resulting Numbers: [308]
308,23 unequal: No Solution
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,23 unequal: No Solution
No 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: 23:[71, 34], Operations: ['98-27=71', '78-44=34']
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,23 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,23 unequal: No Solution
Exploring Operation: 71*34=2414, Resulting Numbers: [2414]
2414,23 unequal: No Solution
No 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: 23:[78, 27], Operations: ['98-27=71', '71-44=27']
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,23 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,23 unequal: No Solution
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,23 unequal: No Solution
No 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: 23:[71, 122], Operations: ['98-27=71', '44+78=122']
Exploring Operation: 71+122=193, Resulting Numbers: [193]
193,23 unequal: No Solution
Exploring Operation: 71*122=8662, Resulting Numbers: [8662]
8662,23 unequal: No Solution
Exploring Operation: 122-71=51, Resulting Numbers: [51]
51,23 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
95,
28,
68
] | 94 | [
"2*95=190",
"28+68=96",
"190-96=94"
] | Current State: 94:[2, 95, 28, 68], Operations: []
Exploring Operation: 2*95=190, Resulting Numbers: [28, 68, 190]
Generated Node #2: [28, 68, 190] from Operation: 2*95=190
Current State: 94:[28, 68, 190], Operations: ['2*95=190']
Exploring Operation: 28+68=96, Resulting Numbers: [190, 96]
Generated Node #3: [190, 96] from Operation: 28+68=96
Current State: 94:[190, 96], Operations: ['2*95=190', '28+68=96']
Exploring Operation: 190-96=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[2, 95, 28, 68], Operations: []
Exploring Operation: 2*28=56, Resulting Numbers: [95, 68, 56]
Generated Node #0,0: 94:[95, 68, 56] Operation: 2*28=56
Exploring Operation: 68/2=34, Resulting Numbers: [95, 28, 34]
Generated Node #0,1: 94:[95, 28, 34] Operation: 68/2=34
Exploring Operation: 68-28=40, Resulting Numbers: [2, 95, 40]
Generated Node #0,2: 94:[2, 95, 40] Operation: 68-28=40
Exploring Operation: 28+68=96, Resulting Numbers: [2, 95, 96]
Generated Node #0,3: 94:[2, 95, 96] Operation: 28+68=96
Start Sub Search at level 1: Moving to Node #0,3
Current State: 94:[2, 95, 96], Operations: ['28+68=96']
Exploring Operation: 96/2=48, Resulting Numbers: [95, 48]
Generated Node #0,3,0: 94:[95, 48] Operation: 96/2=48
Exploring Operation: 96-2=94, Resulting Numbers: [95, 94]
Generated Node #0,3,1: 94:[95, 94] Operation: 96-2=94
Exploring Operation: 96-95=1, Resulting Numbers: [2, 1]
Generated Node #0,3,2: 94:[2, 1] Operation: 96-95=1
Exploring Operation: 95-2=93, Resulting Numbers: [96, 93]
Generated Node #0,3,3: 94:[96, 93] Operation: 95-2=93
Moving to Node #0,3,1
Current State: 94:[95, 94], Operations: ['28+68=96', '96-2=94']
Exploring Operation: 95-94=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 95+94=189, Resulting Numbers: [189]
189,94 unequal: No Solution
Exploring Operation: 95*94=8930, Resulting Numbers: [8930]
8930,94 unequal: No Solution
Moving to Node #0,3,2
Current State: 94:[2, 1], Operations: ['28+68=96', '96-95=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,94 unequal: No Solution
Moving to Node #0,3,0
Current State: 94:[95, 48], Operations: ['28+68=96', '96/2=48']
Exploring Operation: 95+48=143, Resulting Numbers: [143]
143,94 unequal: No Solution
Exploring Operation: 95*48=4560, Resulting Numbers: [4560]
4560,94 unequal: No Solution
Exploring Operation: 95-48=47, Resulting Numbers: [47]
47,94 unequal: No Solution
Moving to Node #0,3,3
Current State: 94:[96, 93], Operations: ['28+68=96', '95-2=93']
Exploring Operation: 96+93=189, Resulting Numbers: [189]
189,94 unequal: No Solution
Exploring Operation: 96-93=3, Resulting Numbers: [3]
3,94 unequal: No Solution
Exploring Operation: 96*93=8928, Resulting Numbers: [8928]
8928,94 unequal: No Solution
No 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: 94:[2, 95, 40], Operations: ['68-28=40']
Exploring Operation: 2+40=42, Resulting Numbers: [95, 42]
Generated Node #0,2,0: 94:[95, 42] Operation: 2+40=42
Exploring Operation: 2+95=97, Resulting Numbers: [40, 97]
Generated Node #0,2,1: 94:[40, 97] Operation: 2+95=97
Exploring Operation: 95-40=55, Resulting Numbers: [2, 55]
Generated Node #0,2,2: 94:[2, 55] Operation: 95-40=55
Exploring Operation: 95-2=93, Resulting Numbers: [40, 93]
Generated Node #0,2,3: 94:[40, 93] Operation: 95-2=93
Moving to Node #0,2,0
Current State: 94:[95, 42], Operations: ['68-28=40', '2+40=42']
Exploring Operation: 95*42=3990, Resulting Numbers: [3990]
3990,94 unequal: No Solution
Exploring Operation: 95+42=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 95-42=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Moving to Node #0,2,3
Current State: 94:[40, 93], Operations: ['68-28=40', '95-2=93']
Exploring Operation: 40*93=3720, Resulting Numbers: [3720]
3720,94 unequal: No Solution
Exploring Operation: 40+93=133, Resulting Numbers: [133]
133,94 unequal: No Solution
Exploring Operation: 93-40=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[2, 55], Operations: ['68-28=40', '95-40=55']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,94 unequal: No Solution
Exploring Operation: 2+55=57, Resulting Numbers: [57]
57,94 unequal: No Solution
Exploring Operation: 2*55=110, Resulting Numbers: [110]
110,94 unequal: No Solution
Moving to Node #0,2,1
Current State: 94:[40, 97], Operations: ['68-28=40', '2+95=97']
Exploring Operation: 97-40=57, Resulting Numbers: [57]
57,94 unequal: No Solution
Exploring Operation: 40+97=137, Resulting Numbers: [137]
137,94 unequal: No Solution
Exploring Operation: 40*97=3880, Resulting Numbers: [3880]
3880,94 unequal: No Solution
No 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: 94:[95, 68, 56], Operations: ['2*28=56']
Exploring Operation: 95-68=27, Resulting Numbers: [56, 27]
Generated Node #0,0,0: 94:[56, 27] Operation: 95-68=27
Exploring Operation: 68+56=124, Resulting Numbers: [95, 124]
Generated Node #0,0,1: 94:[95, 124] Operation: 68+56=124
Exploring Operation: 95-56=39, Resulting Numbers: [68, 39]
Generated Node #0,0,2: 94:[68, 39] Operation: 95-56=39
Exploring Operation: 68-56=12, Resulting Numbers: [95, 12]
Generated Node #0,0,3: 94:[95, 12] Operation: 68-56=12
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 94:[95, 12], Operations: ['2*28=56', '68-56=12']
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,94 unequal: No Solution
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,94 unequal: No Solution
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,94 unequal: No Solution
No 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: 94:[56, 27], Operations: ['2*28=56', '95-68=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,94 unequal: No Solution
Exploring Operation: 56*27=1512, Resulting Numbers: [1512]
1512,94 unequal: No Solution
No 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: 94:[68, 39], Operations: ['2*28=56', '95-56=39']
Exploring Operation: 68+39=107, Resulting Numbers: [107]
107,94 unequal: No Solution
Exploring Operation: 68*39=2652, Resulting Numbers: [2652]
2652,94 unequal: No Solution
Exploring Operation: 68-39=29, Resulting Numbers: [29]
29,94 unequal: No Solution
No 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: 94:[95, 124], Operations: ['2*28=56', '68+56=124']
Exploring Operation: 124-95=29, Resulting Numbers: [29]
29,94 unequal: No Solution
Exploring Operation: 95*124=11780, Resulting Numbers: [11780]
11780,94 unequal: No Solution
Exploring Operation: 95+124=219, Resulting Numbers: [219]
219,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[95, 28, 34], Operations: ['68/2=34']
Exploring Operation: 28+34=62, Resulting Numbers: [95, 62]
Generated Node #0,1,0: 94:[95, 62] Operation: 28+34=62
Exploring Operation: 95-34=61, Resulting Numbers: [28, 61]
Generated Node #0,1,1: 94:[28, 61] Operation: 95-34=61
Exploring Operation: 95-28=67, Resulting Numbers: [34, 67]
Generated Node #0,1,2: 94:[34, 67] Operation: 95-28=67
Exploring Operation: 34-28=6, Resulting Numbers: [95, 6]
Generated Node #0,1,3: 94:[95, 6] Operation: 34-28=6
Moving to Node #0,1,3
Current State: 94:[95, 6], Operations: ['68/2=34', '34-28=6']
Exploring Operation: 95+6=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 95*6=570, Resulting Numbers: [570]
570,94 unequal: No Solution
Moving to Node #0,1,0
Current State: 94:[95, 62], Operations: ['68/2=34', '28+34=62']
Exploring Operation: 95+62=157, Resulting Numbers: [157]
157,94 unequal: No Solution
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 95*62=5890, Resulting Numbers: [5890]
5890,94 unequal: No Solution
Moving to Node #0,1,2
Current State: 94:[34, 67], Operations: ['68/2=34', '95-28=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,94 unequal: No Solution
Exploring Operation: 34*67=2278, Resulting Numbers: [2278]
2278,94 unequal: No Solution
Exploring Operation: 34+67=101, Resulting Numbers: [101]
101,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[28, 61], Operations: ['68/2=34', '95-34=61']
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,94 unequal: No Solution
Exploring Operation: 28*61=1708, Resulting Numbers: [1708]
1708,94 unequal: No Solution
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,94 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 |
[
25,
13,
14,
23
] | 21 | [
"25-13=12",
"23-14=9",
"12+9=21"
] | Current State: 21:[25, 13, 14, 23], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [14, 23, 12]
Generated Node #2: [14, 23, 12] from Operation: 25-13=12
Current State: 21:[14, 23, 12], Operations: ['25-13=12']
Exploring Operation: 23-14=9, Resulting Numbers: [12, 9]
Generated Node #3: [12, 9] from Operation: 23-14=9
Current State: 21:[12, 9], Operations: ['25-13=12', '23-14=9']
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[25, 13, 14, 23], Operations: []
Exploring Operation: 14-13=1, Resulting Numbers: [25, 23, 1]
Generated Node #0,0: 21:[25, 23, 1] Operation: 14-13=1
Exploring Operation: 25-14=11, Resulting Numbers: [13, 23, 11]
Generated Node #0,1: 21:[13, 23, 11] Operation: 25-14=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[25, 23, 1], Operations: ['14-13=1']
Exploring Operation: 25-23=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 21:[1, 2] Operation: 25-23=2
Exploring Operation: 25-1=24, Resulting Numbers: [23, 24]
Generated Node #0,0,1: 21:[23, 24] Operation: 25-1=24
Moving to Node #0,0,0
Current State: 21:[1, 2], Operations: ['14-13=1', '25-23=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,21 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[23, 24], Operations: ['14-13=1', '25-1=24']
Exploring Operation: 23+24=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 24-23=1, Resulting Numbers: [1]
1,21 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:[13, 23, 11], Operations: ['25-14=11']
Exploring Operation: 13+11=24, Resulting Numbers: [23, 24]
Generated Node #0,1,0: 21:[23, 24] Operation: 13+11=24
Exploring Operation: 13-11=2, Resulting Numbers: [23, 2]
Generated Node #0,1,1: 21:[23, 2] Operation: 13-11=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 21:[23, 2], Operations: ['25-14=11', '13-11=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[25, 13, 14, 23], Operations: []
Exploring Operation: 25-14=11, Resulting Numbers: [13, 23, 11]
Generated Node #0,1: 21:[13, 23, 11] Operation: 25-14=11
Moving to Node #0,1
Current State: 21:[13, 23, 11], Operations: ['25-14=11']
Exploring Operation: 13-11=2, Resulting Numbers: [23, 2]
Generated Node #0,1,1: 21:[23, 2] Operation: 13-11=2
Moving to Node #0,1,1
Current State: 21:[23, 2], Operations: ['25-14=11', '13-11=2']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_2 | mult_heuristic |
[
25,
46,
67,
5
] | 80 | [
"67-46=21",
"5*21=105",
"105-25=80"
] | Current State: 80:[25, 46, 67, 5], Operations: []
Exploring Operation: 67-46=21, Resulting Numbers: [25, 5, 21]
Generated Node #2: [25, 5, 21] from Operation: 67-46=21
Current State: 80:[25, 5, 21], Operations: ['67-46=21']
Exploring Operation: 5*21=105, Resulting Numbers: [25, 105]
Generated Node #3: [25, 105] from Operation: 5*21=105
Current State: 80:[25, 105], Operations: ['67-46=21', '5*21=105']
Exploring Operation: 105-25=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[25, 46, 67, 5], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [67, 5, 21]
Generated Node #0,0: 80:[67, 5, 21] Operation: 46-25=21
Exploring Operation: 67-25=42, Resulting Numbers: [46, 5, 42]
Generated Node #0,1: 80:[46, 5, 42] Operation: 67-25=42
Exploring Operation: 67-46=21, Resulting Numbers: [25, 5, 21]
Generated Node #0,2: 80:[25, 5, 21] Operation: 67-46=21
Moving to Node #0,2
Current State: 80:[25, 5, 21], Operations: ['67-46=21']
Exploring Operation: 25-5=20, Resulting Numbers: [21, 20]
Generated Node #0,2,0: 80:[21, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [21, 5]
Generated Node #0,2,1: 80:[21, 5] Operation: 25/5=5
Exploring Operation: 25-21=4, Resulting Numbers: [5, 4]
Generated Node #0,2,2: 80:[5, 4] Operation: 25-21=4
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 80:[5, 4], Operations: ['67-46=21', '25-21=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 80:[21, 20], Operations: ['67-46=21', '25-5=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 80:[21, 5], Operations: ['67-46=21', '25/5=5']
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,80 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: 80:[46, 5, 42], Operations: ['67-25=42']
Exploring Operation: 46+42=88, Resulting Numbers: [5, 88]
Generated Node #0,1,0: 80:[5, 88] Operation: 46+42=88
Exploring Operation: 46-42=4, Resulting Numbers: [5, 4]
Generated Node #0,1,1: 80:[5, 4] Operation: 46-42=4
Exploring Operation: 46-5=41, Resulting Numbers: [42, 41]
Generated Node #0,1,2: 80:[42, 41] Operation: 46-5=41
Moving to Node #0,0
Current State: 80:[67, 5, 21], Operations: ['46-25=21']
Exploring Operation: 67+5=72, Resulting Numbers: [21, 72]
Generated Node #0,0,0: 80:[21, 72] Operation: 67+5=72
Exploring Operation: 67-21=46, Resulting Numbers: [5, 46]
Generated Node #0,0,1: 80:[5, 46] Operation: 67-21=46
Exploring Operation: 67+21=88, Resulting Numbers: [5, 88]
Generated Node #0,0,2: 80:[5, 88] Operation: 67+21=88
Moving to Node #0,1,1
Current State: 80:[5, 4], Operations: ['67-25=42', '46-42=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[42, 41], Operations: ['67-25=42', '46-5=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,80 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[5, 46], Operations: ['46-25=21', '67-21=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 5*46=230, Resulting Numbers: [230]
230,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[5, 88], Operations: ['67-25=42', '46+42=88']
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,80 unequal: No Solution
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[5, 88], Operations: ['46-25=21', '67+21=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[21, 72], Operations: ['46-25=21', '67+5=72']
Exploring Operation: 21+72=93, Resulting Numbers: [93]
93,80 unequal: No Solution
Exploring Operation: 72-21=51, Resulting Numbers: [51]
51,80 unequal: No Solution
Exploring Operation: 21*72=1512, Resulting Numbers: [1512]
1512,80 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
98,
76,
1
] | 36 | [
"14+98=112",
"76*1=76",
"112-76=36"
] | Current State: 36:[14, 98, 76, 1], Operations: []
Exploring Operation: 14+98=112, Resulting Numbers: [76, 1, 112]
Generated Node #2: [76, 1, 112] from Operation: 14+98=112
Current State: 36:[76, 1, 112], Operations: ['14+98=112']
Exploring Operation: 76*1=76, Resulting Numbers: [112, 76]
Generated Node #3: [112, 76] from Operation: 76*1=76
Current State: 36:[112, 76], Operations: ['14+98=112', '76*1=76']
Exploring Operation: 112-76=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[14, 98, 76, 1], Operations: []
Exploring Operation: 98/14=7, Resulting Numbers: [76, 1, 7]
Generated Node #0,0: 36:[76, 1, 7] Operation: 98/14=7
Exploring Operation: 98-76=22, Resulting Numbers: [14, 1, 22]
Generated Node #0,1: 36:[14, 1, 22] Operation: 98-76=22
Moving to Node #0,1
Current State: 36:[14, 1, 22], Operations: ['98-76=22']
Exploring Operation: 22-14=8, Resulting Numbers: [1, 8]
Generated Node #0,1,0: 36:[1, 8] Operation: 22-14=8
Exploring Operation: 14+22=36, Resulting Numbers: [1, 36]
Generated Node #0,1,1: 36:[1, 36] Operation: 14+22=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 36:[1, 36], Operations: ['98-76=22', '14+22=36']
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[14, 98, 76, 1], Operations: []
Exploring Operation: 98-76=22, Resulting Numbers: [14, 1, 22]
Generated Node #0,1: 36:[14, 1, 22] Operation: 98-76=22
Moving to Node #0,1
Current State: 36:[14, 1, 22], Operations: ['98-76=22']
Exploring Operation: 14+22=36, Resulting Numbers: [1, 36]
Generated Node #0,1,1: 36:[1, 36] Operation: 14+22=36
Moving to Node #0,1,1
Current State: 36:[1, 36], Operations: ['98-76=22', '14+22=36']
Exploring Operation: 36/1=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
22,
42,
74,
10
] | 39 | [
"22*74=1628",
"10+1628=1638",
"1638/42=39"
] | Current State: 39:[22, 42, 74, 10], Operations: []
Exploring Operation: 22*74=1628, Resulting Numbers: [42, 10, 1628]
Generated Node #2: [42, 10, 1628] from Operation: 22*74=1628
Current State: 39:[42, 10, 1628], Operations: ['22*74=1628']
Exploring Operation: 10+1628=1638, Resulting Numbers: [42, 1638]
Generated Node #3: [42, 1638] from Operation: 10+1628=1638
Current State: 39:[42, 1638], Operations: ['22*74=1628', '10+1628=1638']
Exploring Operation: 1638/42=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[22, 42, 74, 10], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [22, 10, 32]
Generated Node #0,0: 39:[22, 10, 32] Operation: 74-42=32
Exploring Operation: 74-22=52, Resulting Numbers: [42, 10, 52]
Generated Node #0,1: 39:[42, 10, 52] Operation: 74-22=52
Exploring Operation: 22-10=12, Resulting Numbers: [42, 74, 12]
Generated Node #0,2: 39:[42, 74, 12] Operation: 22-10=12
Exploring Operation: 74-10=64, Resulting Numbers: [22, 42, 64]
Generated Node #0,3: 39:[22, 42, 64] Operation: 74-10=64
Moving to Node #0,0
Current State: 39:[22, 10, 32], Operations: ['74-42=32']
Exploring Operation: 22-10=12, Resulting Numbers: [32, 12]
Generated Node #0,0,0: 39:[32, 12] Operation: 22-10=12
Exploring Operation: 22+10=32, Resulting Numbers: [32, 32]
Generated Node #0,0,1: 39:[32, 32] Operation: 22+10=32
Exploring Operation: 10+32=42, Resulting Numbers: [22, 42]
Generated Node #0,0,2: 39:[22, 42] Operation: 10+32=42
Exploring Operation: 32-22=10, Resulting Numbers: [10, 10]
Generated Node #0,0,3: 39:[10, 10] Operation: 32-22=10
Moving to Node #0,1
Current State: 39:[42, 10, 52], Operations: ['74-22=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42, 42]
Generated Node #0,1,0: 39:[42, 42] Operation: 52-10=42
Exploring Operation: 52-42=10, Resulting Numbers: [10, 10]
Generated Node #0,1,1: 39:[10, 10] Operation: 52-42=10
Exploring Operation: 42-10=32, Resulting Numbers: [52, 32]
Generated Node #0,1,2: 39:[52, 32] Operation: 42-10=32
Exploring Operation: 42+10=52, Resulting Numbers: [52, 52]
Generated Node #0,1,3: 39:[52, 52] Operation: 42+10=52
Moving to Node #0,3
Current State: 39:[22, 42, 64], Operations: ['74-10=64']
Exploring Operation: 42-22=20, Resulting Numbers: [64, 20]
Generated Node #0,3,0: 39:[64, 20] Operation: 42-22=20
Exploring Operation: 64-22=42, Resulting Numbers: [42, 42]
Generated Node #0,3,1: 39:[42, 42] Operation: 64-22=42
Exploring Operation: 64-42=22, Resulting Numbers: [22, 22]
Generated Node #0,3,2: 39:[22, 22] Operation: 64-42=22
Exploring Operation: 22+42=64, Resulting Numbers: [64, 64]
Generated Node #0,3,3: 39:[64, 64] Operation: 22+42=64
Moving to Node #0,2
Current State: 39:[42, 74, 12], Operations: ['22-10=12']
Exploring Operation: 42-12=30, Resulting Numbers: [74, 30]
Generated Node #0,2,0: 39:[74, 30] Operation: 42-12=30
Exploring Operation: 42+12=54, Resulting Numbers: [74, 54]
Generated Node #0,2,1: 39:[74, 54] Operation: 42+12=54
Exploring Operation: 74-42=32, Resulting Numbers: [12, 32]
Generated Node #0,2,2: 39:[12, 32] Operation: 74-42=32
Exploring Operation: 74-12=62, Resulting Numbers: [42, 62]
Generated Node #0,2,3: 39:[42, 62] Operation: 74-12=62
Moving to Node #0,0,3
Current State: 39:[10, 10], Operations: ['74-42=32', '32-22=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[10, 10], Operations: ['74-22=52', '52-42=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,39 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Moving to Node #0,1,0
Current State: 39:[42, 42], Operations: ['74-22=52', '52-10=42']
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,39 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[42, 42], Operations: ['74-10=64', '64-22=42']
Exploring Operation: 42/42=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 42+42=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 42-42=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 42*42=1764, Resulting Numbers: [1764]
1764,39 unequal: No Solution
Moving to Node #0,2,2
Current State: 39:[12, 32], Operations: ['22-10=12', '74-42=32']
Exploring Operation: 12+32=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 12*32=384, Resulting Numbers: [384]
384,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[32, 12], Operations: ['74-42=32', '22-10=12']
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,39 unequal: No Solution
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[22, 42], Operations: ['74-42=32', '10+32=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 22*42=924, Resulting Numbers: [924]
924,39 unequal: No Solution
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[32, 32], Operations: ['74-42=32', '22+10=32']
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,39 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 32*32=1024, Resulting Numbers: [1024]
1024,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[22, 22], Operations: ['74-10=64', '64-42=22']
Exploring Operation: 22*22=484, Resulting Numbers: [484]
484,39 unequal: No Solution
Exploring Operation: 22/22=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 22+22=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 22-22=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Moving to Node #0,1,2
Current State: 39:[52, 32], Operations: ['74-22=52', '42-10=32']
Exploring Operation: 52+32=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 52*32=1664, Resulting Numbers: [1664]
1664,39 unequal: No Solution
Exploring Operation: 52-32=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Moving to Node #0,2,3
Current State: 39:[42, 62], Operations: ['22-10=12', '74-12=62']
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,39 unequal: No Solution
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,39 unequal: No Solution
Moving to Node #0,1,3
Current State: 39:[52, 52], Operations: ['74-22=52', '42+10=52']
Exploring Operation: 52-52=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 52/52=1, Resulting Numbers: [1]
1,39 unequal: No Solution
Exploring Operation: 52+52=104, Resulting Numbers: [104]
104,39 unequal: No Solution
Exploring Operation: 52*52=2704, Resulting Numbers: [2704]
2704,39 unequal: No Solution
Moving to Node #0,3,0
Current State: 39:[64, 20], Operations: ['74-10=64', '42-22=20']
Exploring Operation: 64+20=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 64*20=1280, Resulting Numbers: [1280]
1280,39 unequal: No Solution
Moving to Node #0,2,0
Current State: 39:[74, 30], Operations: ['22-10=12', '42-12=30']
Exploring Operation: 74+30=104, Resulting Numbers: [104]
104,39 unequal: No Solution
Exploring Operation: 74-30=44, Resulting Numbers: [44]
44,39 unequal: No Solution
Exploring Operation: 74*30=2220, Resulting Numbers: [2220]
2220,39 unequal: No Solution
Moving to Node #0,2,1
Current State: 39:[74, 54], Operations: ['22-10=12', '42+12=54']
Exploring Operation: 74+54=128, Resulting Numbers: [128]
128,39 unequal: No Solution
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,39 unequal: No Solution
Exploring Operation: 74*54=3996, Resulting Numbers: [3996]
3996,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[64, 64], Operations: ['74-10=64', '22+42=64']
Exploring Operation: 64-64=0, Resulting Numbers: [0]
0,39 unequal: No Solution
Exploring Operation: 64*64=4096, Resulting Numbers: [4096]
4096,39 unequal: No Solution
Exploring Operation: 64+64=128, Resulting Numbers: [128]
128,39 unequal: No Solution
Exploring Operation: 64/64=1, Resulting Numbers: [1]
1,39 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
82,
1,
16
] | 52 | [
"82-47=35",
"1+16=17",
"35+17=52"
] | Current State: 52:[47, 82, 1, 16], Operations: []
Exploring Operation: 82-47=35, Resulting Numbers: [1, 16, 35]
Generated Node #2: [1, 16, 35] from Operation: 82-47=35
Current State: 52:[1, 16, 35], Operations: ['82-47=35']
Exploring Operation: 1+16=17, Resulting Numbers: [35, 17]
Generated Node #3: [35, 17] from Operation: 1+16=17
Current State: 52:[35, 17], Operations: ['82-47=35', '1+16=17']
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[47, 82, 1, 16], Operations: []
Exploring Operation: 47+1=48, Resulting Numbers: [82, 16, 48]
Generated Node #0,0: 52:[82, 16, 48] Operation: 47+1=48
Exploring Operation: 82-47=35, Resulting Numbers: [1, 16, 35]
Generated Node #0,1: 52:[1, 16, 35] Operation: 82-47=35
Exploring Operation: 47-16=31, Resulting Numbers: [82, 1, 31]
Generated Node #0,2: 52:[82, 1, 31] Operation: 47-16=31
Exploring Operation: 82-16=66, Resulting Numbers: [47, 1, 66]
Generated Node #0,3: 52:[47, 1, 66] Operation: 82-16=66
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[1, 16, 35], Operations: ['82-47=35']
Exploring Operation: 16-1=15, Resulting Numbers: [35, 15]
Generated Node #0,1,0: 52:[35, 15] Operation: 16-1=15
Exploring Operation: 35-1=34, Resulting Numbers: [16, 34]
Generated Node #0,1,1: 52:[16, 34] Operation: 35-1=34
Exploring Operation: 16+35=51, Resulting Numbers: [1, 51]
Generated Node #0,1,2: 52:[1, 51] Operation: 16+35=51
Exploring Operation: 35-16=19, Resulting Numbers: [1, 19]
Generated Node #0,1,3: 52:[1, 19] Operation: 35-16=19
Moving to Node #0,1,2
Current State: 52:[1, 51], Operations: ['82-47=35', '16+35=51']
Exploring Operation: 51/1=51, Resulting Numbers: [51]
51,52 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,52 unequal: No Solution
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[47, 82, 1, 16], Operations: []
Exploring Operation: 82-47=35, Resulting Numbers: [1, 16, 35]
Generated Node #0,1: 52:[1, 16, 35] Operation: 82-47=35
Moving to Node #0,1
Current State: 52:[1, 16, 35], Operations: ['82-47=35']
Exploring Operation: 16+35=51, Resulting Numbers: [1, 51]
Generated Node #0,1,2: 52:[1, 51] Operation: 16+35=51
Moving to Node #0,1,2
Current State: 52:[1, 51], Operations: ['82-47=35', '16+35=51']
Exploring Operation: 1+51=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
34,
11,
11,
51
] | 66 | [
"34+11=45",
"51-45=6",
"11*6=66"
] | Current State: 66:[34, 11, 11, 51], Operations: []
Exploring Operation: 34+11=45, Resulting Numbers: [51, 45]
Generated Node #2: [51, 45] from Operation: 34+11=45
Current State: 66:[51, 45], Operations: ['34+11=45']
Exploring Operation: 51-45=6, Resulting Numbers: [6]
6,66 equal: Goal Reached
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[34, 11, 11, 51], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [34, 11, 40]
Generated Node #0,0: 66:[34, 11, 40] Operation: 51-11=40
Exploring Operation: 51-11=40, Resulting Numbers: [34, 11, 40]
Generated Node #0,1: 66:[34, 11, 40] Operation: 51-11=40
Exploring Operation: 51-34=17, Resulting Numbers: [11, 11, 17]
Generated Node #0,2: 66:[11, 11, 17] Operation: 51-34=17
Exploring Operation: 11+51=62, Resulting Numbers: [34, 11, 62]
Generated Node #0,3: 66:[34, 11, 62] Operation: 11+51=62
Exploring Operation: 11+51=62, Resulting Numbers: [34, 11, 62]
Generated Node #0,4: 66:[34, 11, 62] Operation: 11+51=62
Start Sub Search at level 1: Moving to Node #0,2
Current State: 66:[11, 11, 17], Operations: ['51-34=17']
Exploring Operation: 11+17=28, Resulting Numbers: [11, 28]
Generated Node #0,2,0: 66:[11, 28] Operation: 11+17=28
Exploring Operation: 17-11=6, Resulting Numbers: [11, 6]
Generated Node #0,2,1: 66:[11, 6] Operation: 17-11=6
Exploring Operation: 17-11=6, Resulting Numbers: [11, 6]
Generated Node #0,2,2: 66:[11, 6] Operation: 17-11=6
Exploring Operation: 11+17=28, Resulting Numbers: [11, 28]
Generated Node #0,2,3: 66:[11, 28] Operation: 11+17=28
Exploring Operation: 11+11=22, Resulting Numbers: [17, 22]
Generated Node #0,2,4: 66:[17, 22] Operation: 11+11=22
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[11, 6], Operations: ['51-34=17', '17-11=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[34, 11, 11, 51], Operations: []
Exploring Operation: 51-34=17, Resulting Numbers: [11, 11, 17]
Generated Node #0,2: 66:[11, 11, 17] Operation: 51-34=17
Moving to Node #0,2
Current State: 66:[11, 11, 17], Operations: ['51-34=17']
Exploring Operation: 17-11=6, Resulting Numbers: [11, 6]
Generated Node #0,2,1: 66:[11, 6] Operation: 17-11=6
Moving to Node #0,2,1
Current State: 66:[11, 6], Operations: ['51-34=17', '17-11=6']
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
37,
2,
54,
70
] | 55 | [
"37+2=39",
"70-54=16",
"39+16=55"
] | Current State: 55:[37, 2, 54, 70], Operations: []
Exploring Operation: 37+2=39, Resulting Numbers: [54, 70, 39]
Generated Node #2: [54, 70, 39] from Operation: 37+2=39
Current State: 55:[54, 70, 39], Operations: ['37+2=39']
Exploring Operation: 70-54=16, Resulting Numbers: [39, 16]
Generated Node #3: [39, 16] from Operation: 70-54=16
Current State: 55:[39, 16], Operations: ['37+2=39', '70-54=16']
Exploring Operation: 39+16=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[37, 2, 54, 70], Operations: []
Exploring Operation: 70-54=16, Resulting Numbers: [37, 2, 16]
Generated Node #0,0: 55:[37, 2, 16] Operation: 70-54=16
Exploring Operation: 70-37=33, Resulting Numbers: [2, 54, 33]
Generated Node #0,1: 55:[2, 54, 33] Operation: 70-37=33
Exploring Operation: 54-37=17, Resulting Numbers: [2, 70, 17]
Generated Node #0,2: 55:[2, 70, 17] Operation: 54-37=17
Moving to Node #0,2
Current State: 55:[2, 70, 17], Operations: ['54-37=17']
Exploring Operation: 70-17=53, Resulting Numbers: [2, 53]
Generated Node #0,2,0: 55:[2, 53] Operation: 70-17=53
Exploring Operation: 70-2=68, Resulting Numbers: [17, 68]
Generated Node #0,2,1: 55:[17, 68] Operation: 70-2=68
Exploring Operation: 17-2=15, Resulting Numbers: [70, 15]
Generated Node #0,2,2: 55:[70, 15] Operation: 17-2=15
Moving to Node #0,0
Current State: 55:[37, 2, 16], Operations: ['70-54=16']
Exploring Operation: 37-16=21, Resulting Numbers: [2, 21]
Generated Node #0,0,0: 55:[2, 21] Operation: 37-16=21
Exploring Operation: 37+16=53, Resulting Numbers: [2, 53]
Generated Node #0,0,1: 55:[2, 53] Operation: 37+16=53
Exploring Operation: 37+2=39, Resulting Numbers: [16, 39]
Generated Node #0,0,2: 55:[16, 39] Operation: 37+2=39
Moving to Node #0,1
Current State: 55:[2, 54, 33], Operations: ['70-37=33']
Exploring Operation: 54-33=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 55:[2, 21] Operation: 54-33=21
Exploring Operation: 2*33=66, Resulting Numbers: [54, 66]
Generated Node #0,1,1: 55:[54, 66] Operation: 2*33=66
Exploring Operation: 2+33=35, Resulting Numbers: [54, 35]
Generated Node #0,1,2: 55:[54, 35] Operation: 2+33=35
Moving to Node #0,2,0
Current State: 55:[2, 53], Operations: ['54-37=17', '70-17=53']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 2*53=106, Resulting Numbers: [106]
106,55 unequal: No Solution
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[37, 2, 54, 70], Operations: []
Exploring Operation: 54-37=17, Resulting Numbers: [2, 70, 17]
Generated Node #0,2: 55:[2, 70, 17] Operation: 54-37=17
Moving to Node #0,2
Current State: 55:[2, 70, 17], Operations: ['54-37=17']
Exploring Operation: 70-17=53, Resulting Numbers: [2, 53]
Generated Node #0,2,0: 55:[2, 53] Operation: 70-17=53
Moving to Node #0,2,0
Current State: 55:[2, 53], Operations: ['54-37=17', '70-17=53']
Exploring Operation: 2+53=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.983507 | hs_3 | mult_heuristic |
[
21,
71,
28,
20
] | 13 | [
"28-21=7",
"71+20=91",
"91/7=13"
] | Current State: 13:[21, 71, 28, 20], Operations: []
Exploring Operation: 28-21=7, Resulting Numbers: [71, 20, 7]
Generated Node #2: [71, 20, 7] from Operation: 28-21=7
Current State: 13:[71, 20, 7], Operations: ['28-21=7']
Exploring Operation: 71+20=91, Resulting Numbers: [7, 91]
Generated Node #3: [7, 91] from Operation: 71+20=91
Current State: 13:[7, 91], Operations: ['28-21=7', '71+20=91']
Exploring Operation: 91/7=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[21, 71, 28, 20], Operations: []
Exploring Operation: 71-21=50, Resulting Numbers: [28, 20, 50]
Generated Node #0,0: 13:[28, 20, 50] Operation: 71-21=50
Exploring Operation: 28-20=8, Resulting Numbers: [21, 71, 8]
Generated Node #0,1: 13:[21, 71, 8] Operation: 28-20=8
Exploring Operation: 28-21=7, Resulting Numbers: [71, 20, 7]
Generated Node #0,2: 13:[71, 20, 7] Operation: 28-21=7
Exploring Operation: 71-20=51, Resulting Numbers: [21, 28, 51]
Generated Node #0,3: 13:[21, 28, 51] Operation: 71-20=51
Exploring Operation: 71-28=43, Resulting Numbers: [21, 20, 43]
Generated Node #0,4: 13:[21, 20, 43] Operation: 71-28=43
Start Sub Search at level 1: Moving to Node #0,4
Current State: 13:[21, 20, 43], Operations: ['71-28=43']
Exploring Operation: 43-21=22, Resulting Numbers: [20, 22]
Generated Node #0,4,0: 13:[20, 22] Operation: 43-21=22
Exploring Operation: 21-20=1, Resulting Numbers: [43, 1]
Generated Node #0,4,1: 13:[43, 1] Operation: 21-20=1
Exploring Operation: 21+43=64, Resulting Numbers: [20, 64]
Generated Node #0,4,2: 13:[20, 64] Operation: 21+43=64
Exploring Operation: 21+20=41, Resulting Numbers: [43, 41]
Generated Node #0,4,3: 13:[43, 41] Operation: 21+20=41
Exploring Operation: 43-20=23, Resulting Numbers: [21, 23]
Generated Node #0,4,4: 13:[21, 23] Operation: 43-20=23
Moving to Node #0,4,0
Current State: 13:[20, 22], Operations: ['71-28=43', '43-21=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,13 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,4,4
Current State: 13:[21, 23], Operations: ['71-28=43', '43-20=23']
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 21*23=483, Resulting Numbers: [483]
483,13 unequal: No Solution
Moving to Node #0,4,1
Current State: 13:[43, 1], Operations: ['71-28=43', '21-20=1']
Exploring Operation: 43+1=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,13 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,13 unequal: No Solution
Moving to Node #0,4,2
Current State: 13:[20, 64], Operations: ['71-28=43', '21+43=64']
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,13 unequal: No Solution
Moving to Node #0,4,3
Current State: 13:[43, 41], Operations: ['71-28=43', '21+20=41']
Exploring Operation: 43*41=1763, Resulting Numbers: [1763]
1763,13 unequal: No Solution
Exploring Operation: 43-41=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 43+41=84, Resulting Numbers: [84]
84,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[28, 20, 50], Operations: ['71-21=50']
Exploring Operation: 28-20=8, Resulting Numbers: [50, 8]
Generated Node #0,0,0: 13:[50, 8] Operation: 28-20=8
Exploring Operation: 50-28=22, Resulting Numbers: [20, 22]
Generated Node #0,0,1: 13:[20, 22] Operation: 50-28=22
Exploring Operation: 28+50=78, Resulting Numbers: [20, 78]
Generated Node #0,0,2: 13:[20, 78] Operation: 28+50=78
Exploring Operation: 28+20=48, Resulting Numbers: [50, 48]
Generated Node #0,0,3: 13:[50, 48] Operation: 28+20=48
Exploring Operation: 50-20=30, Resulting Numbers: [28, 30]
Generated Node #0,0,4: 13:[28, 30] Operation: 50-20=30
Moving to Node #0,0,1
Current State: 13:[20, 22], Operations: ['71-21=50', '50-28=22']
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,13 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[28, 30], Operations: ['71-21=50', '50-20=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,13 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[50, 8], Operations: ['71-21=50', '28-20=8']
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[20, 78], Operations: ['71-21=50', '28+50=78']
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 20*78=1560, Resulting Numbers: [1560]
1560,13 unequal: No Solution
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Moving to Node #0,0,3
Current State: 13:[50, 48], Operations: ['71-21=50', '28+20=48']
Exploring Operation: 50+48=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 50*48=2400, Resulting Numbers: [2400]
2400,13 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 13:[21, 28, 51], Operations: ['71-20=51']
Exploring Operation: 51-21=30, Resulting Numbers: [28, 30]
Generated Node #0,3,0: 13:[28, 30] Operation: 51-21=30
Exploring Operation: 21+51=72, Resulting Numbers: [28, 72]
Generated Node #0,3,1: 13:[28, 72] Operation: 21+51=72
Exploring Operation: 51-28=23, Resulting Numbers: [21, 23]
Generated Node #0,3,2: 13:[21, 23] Operation: 51-28=23
Exploring Operation: 28-21=7, Resulting Numbers: [51, 7]
Generated Node #0,3,3: 13:[51, 7] Operation: 28-21=7
Exploring Operation: 21+28=49, Resulting Numbers: [51, 49]
Generated Node #0,3,4: 13:[51, 49] Operation: 21+28=49
Moving to Node #0,3,2
Current State: 13:[21, 23], Operations: ['71-20=51', '51-28=23']
Exploring Operation: 21*23=483, Resulting Numbers: [483]
483,13 unequal: No Solution
Exploring Operation: 23-21=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 21+23=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,3,0
Current State: 13:[28, 30], Operations: ['71-20=51', '51-21=30']
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,13 unequal: No Solution
Moving to Node #0,3,3
Current State: 13:[51, 7], Operations: ['71-20=51', '28-21=7']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,13 unequal: No Solution
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Moving to Node #0,3,1
Current State: 13:[28, 72], Operations: ['71-20=51', '21+51=72']
Exploring Operation: 28+72=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 28*72=2016, Resulting Numbers: [2016]
2016,13 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Moving to Node #0,3,4
Current State: 13:[51, 49], Operations: ['71-20=51', '21+28=49']
Exploring Operation: 51*49=2499, Resulting Numbers: [2499]
2499,13 unequal: No Solution
Exploring Operation: 51+49=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[21, 71, 8], Operations: ['28-20=8']
Exploring Operation: 71-8=63, Resulting Numbers: [21, 63]
Generated Node #0,1,0: 13:[21, 63] Operation: 71-8=63
Exploring Operation: 21-8=13, Resulting Numbers: [71, 13]
Generated Node #0,1,1: 13:[71, 13] Operation: 21-8=13
Exploring Operation: 21+8=29, Resulting Numbers: [71, 29]
Generated Node #0,1,2: 13:[71, 29] Operation: 21+8=29
Exploring Operation: 71-21=50, Resulting Numbers: [8, 50]
Generated Node #0,1,3: 13:[8, 50] Operation: 71-21=50
Exploring Operation: 71+8=79, Resulting Numbers: [21, 79]
Generated Node #0,1,4: 13:[21, 79] Operation: 71+8=79
Moving to Node #0,1,3
Current State: 13:[8, 50], Operations: ['28-20=8', '71-21=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,13 unequal: No Solution
Moving to Node #0,1,1
Current State: 13:[71, 13], Operations: ['28-20=8', '21-8=13']
Exploring Operation: 71*13=923, Resulting Numbers: [923]
923,13 unequal: No Solution
Exploring Operation: 71+13=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Moving to Node #0,1,0
Current State: 13:[21, 63], Operations: ['28-20=8', '71-8=63']
Exploring Operation: 63/21=3, Resulting Numbers: [3]
3,13 unequal: No Solution
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 21*63=1323, Resulting Numbers: [1323]
1323,13 unequal: No Solution
Exploring Operation: 63-21=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Moving to Node #0,1,2
Current State: 13:[71, 29], Operations: ['28-20=8', '21+8=29']
Exploring Operation: 71*29=2059, Resulting Numbers: [2059]
2059,13 unequal: No Solution
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Moving to Node #0,1,4
Current State: 13:[21, 79], Operations: ['28-20=8', '71+8=79']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,13 unequal: No Solution
Exploring Operation: 21*79=1659, Resulting Numbers: [1659]
1659,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[71, 20, 7], Operations: ['28-21=7']
Exploring Operation: 20+7=27, Resulting Numbers: [71, 27]
Generated Node #0,2,0: 13:[71, 27] Operation: 20+7=27
Exploring Operation: 71-20=51, Resulting Numbers: [7, 51]
Generated Node #0,2,1: 13:[7, 51] Operation: 71-20=51
Exploring Operation: 20-7=13, Resulting Numbers: [71, 13]
Generated Node #0,2,2: 13:[71, 13] Operation: 20-7=13
Exploring Operation: 71-7=64, Resulting Numbers: [20, 64]
Generated Node #0,2,3: 13:[20, 64] Operation: 71-7=64
Exploring Operation: 71+7=78, Resulting Numbers: [20, 78]
Generated Node #0,2,4: 13:[20, 78] Operation: 71+7=78
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 13:[7, 51], Operations: ['28-21=7', '71-20=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[71, 13], Operations: ['28-21=7', '20-7=13']
Exploring Operation: 71-13=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 71+13=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 71*13=923, Resulting Numbers: [923]
923,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 13:[20, 64], Operations: ['28-21=7', '71-7=64']
Exploring Operation: 64-20=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 20+64=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 20*64=1280, Resulting Numbers: [1280]
1280,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 13:[71, 27], Operations: ['28-21=7', '20+7=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,13 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 13:[20, 78], Operations: ['28-21=7', '71+7=78']
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,13 unequal: No Solution
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,13 unequal: No Solution
Exploring Operation: 20*78=1560, Resulting Numbers: [1560]
1560,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
40,
70,
52,
50
] | 45 | [
"50-40=10",
"70/10=7",
"52-7=45"
] | Current State: 45:[40, 70, 52, 50], Operations: []
Exploring Operation: 50-40=10, Resulting Numbers: [70, 52, 10]
Generated Node #2: [70, 52, 10] from Operation: 50-40=10
Current State: 45:[70, 52, 10], Operations: ['50-40=10']
Exploring Operation: 70/10=7, Resulting Numbers: [52, 7]
Generated Node #3: [52, 7] from Operation: 70/10=7
Current State: 45:[52, 7], Operations: ['50-40=10', '70/10=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[40, 70, 52, 50], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [40, 50, 18]
Generated Node #0,0: 45:[40, 50, 18] Operation: 70-52=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[40, 50, 18], Operations: ['70-52=18']
Exploring Operation: 50-40=10, Resulting Numbers: [18, 10]
Generated Node #0,0,0: 45:[18, 10] Operation: 50-40=10
Moving to Node #0,0,0
Current State: 45:[18, 10], Operations: ['70-52=18', '50-40=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,45 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 |
[
7,
10,
95,
55
] | 43 | [
"10-7=3",
"95-55=40",
"3+40=43"
] | Current State: 43:[7, 10, 95, 55], Operations: []
Exploring Operation: 10-7=3, Resulting Numbers: [95, 55, 3]
Generated Node #2: [95, 55, 3] from Operation: 10-7=3
Current State: 43:[95, 55, 3], Operations: ['10-7=3']
Exploring Operation: 95-55=40, Resulting Numbers: [3, 40]
Generated Node #3: [3, 40] from Operation: 95-55=40
Current State: 43:[3, 40], Operations: ['10-7=3', '95-55=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[7, 10, 95, 55], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [7, 10, 40]
Generated Node #0,0: 43:[7, 10, 40] Operation: 95-55=40
Exploring Operation: 7+10=17, Resulting Numbers: [95, 55, 17]
Generated Node #0,1: 43:[95, 55, 17] Operation: 7+10=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[7, 10, 40], Operations: ['95-55=40']
Exploring Operation: 7*10=70, Resulting Numbers: [40, 70]
Generated Node #0,0,0: 43:[40, 70] Operation: 7*10=70
Exploring Operation: 7+10=17, Resulting Numbers: [40, 17]
Generated Node #0,0,1: 43:[40, 17] Operation: 7+10=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 43:[40, 17], Operations: ['95-55=40', '7+10=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 43:[40, 70], Operations: ['95-55=40', '7*10=70']
Exploring Operation: 40+70=110, Resulting Numbers: [110]
110,43 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 43:[95, 55, 17], Operations: ['7+10=17']
Exploring Operation: 95-55=40, Resulting Numbers: [17, 40]
Generated Node #0,1,0: 43:[17, 40] Operation: 95-55=40
Exploring Operation: 95-17=78, Resulting Numbers: [55, 78]
Generated Node #0,1,1: 43:[55, 78] Operation: 95-17=78
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 43:[17, 40], Operations: ['7+10=17', '95-55=40']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Exploring Operation: 17+40=57, Resulting Numbers: [57]
57,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 43:[55, 78], Operations: ['7+10=17', '95-17=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,43 unequal: No Solution
Exploring Operation: 55+78=133, Resulting Numbers: [133]
133,43 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
84,
24,
12,
86
] | 18 | [
"86-84=2",
"24+12=36",
"36/2=18"
] | Current State: 18:[84, 24, 12, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [24, 12, 2]
Generated Node #2: [24, 12, 2] from Operation: 86-84=2
Current State: 18:[24, 12, 2], Operations: ['86-84=2']
Exploring Operation: 24+12=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 24+12=36
Current State: 18:[2, 36], Operations: ['86-84=2', '24+12=36']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[84, 24, 12, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [24, 12, 2]
Generated Node #0,0: 18:[24, 12, 2] Operation: 86-84=2
Exploring Operation: 84-12=72, Resulting Numbers: [24, 86, 72]
Generated Node #0,1: 18:[24, 86, 72] Operation: 84-12=72
Exploring Operation: 86-24=62, Resulting Numbers: [84, 12, 62]
Generated Node #0,2: 18:[84, 12, 62] Operation: 86-24=62
Exploring Operation: 84/12=7, Resulting Numbers: [24, 86, 7]
Generated Node #0,3: 18:[24, 86, 7] Operation: 84/12=7
Exploring Operation: 84-24=60, Resulting Numbers: [12, 86, 60]
Generated Node #0,4: 18:[12, 86, 60] Operation: 84-24=60
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[24, 12, 2], Operations: ['86-84=2']
Exploring Operation: 24-2=22, Resulting Numbers: [12, 22]
Generated Node #0,0,0: 18:[12, 22] Operation: 24-2=22
Exploring Operation: 24/12=2, Resulting Numbers: [2, 2]
Generated Node #0,0,1: 18:[2, 2] Operation: 24/12=2
Exploring Operation: 24-12=12, Resulting Numbers: [2, 12]
Generated Node #0,0,2: 18:[2, 12] Operation: 24-12=12
Exploring Operation: 24/2=12, Resulting Numbers: [12, 12]
Generated Node #0,0,3: 18:[12, 12] Operation: 24/2=12
Exploring Operation: 12/2=6, Resulting Numbers: [24, 6]
Generated Node #0,0,4: 18:[24, 6] Operation: 12/2=6
Moving to Node #0,0,1
Current State: 18:[2, 2], Operations: ['86-84=2', '24/12=2']
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Moving to Node #0,0,2
Current State: 18:[2, 12], Operations: ['86-84=2', '24-12=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,18 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,18 unequal: No Solution
Exploring Operation: 2+12=14, Resulting Numbers: [14]
14,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[12, 12], Operations: ['86-84=2', '24/2=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,18 unequal: No Solution
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,18 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,18 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[24, 6], Operations: ['86-84=2', '12/2=6']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,18 unequal: No Solution
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,18 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,18 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[84, 24, 12, 86], Operations: []
Exploring Operation: 86-84=2, Resulting Numbers: [24, 12, 2]
Generated Node #0,0: 18:[24, 12, 2] Operation: 86-84=2
Moving to Node #0,0
Current State: 18:[24, 12, 2], Operations: ['86-84=2']
Exploring Operation: 12/2=6, Resulting Numbers: [24, 6]
Generated Node #0,0,4: 18:[24, 6] Operation: 12/2=6
Moving to Node #0,0,4
Current State: 18:[24, 6], Operations: ['86-84=2', '12/2=6']
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_5 | sum_heuristic |
[
24,
78,
62,
91
] | 34 | [
"24*91=2184",
"2184/78=28",
"62-28=34"
] | Current State: 34:[24, 78, 62, 91], Operations: []
Exploring Operation: 24*91=2184, Resulting Numbers: [78, 62, 2184]
Generated Node #2: [78, 62, 2184] from Operation: 24*91=2184
Current State: 34:[78, 62, 2184], Operations: ['24*91=2184']
Exploring Operation: 2184/78=28, Resulting Numbers: [62, 28]
Generated Node #3: [62, 28] from Operation: 2184/78=28
Current State: 34:[62, 28], Operations: ['24*91=2184', '2184/78=28']
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[24, 78, 62, 91], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [24, 62, 13]
Generated Node #0,0: 34:[24, 62, 13] Operation: 91-78=13
Moving to Node #0,0
Current State: 34:[24, 62, 13], Operations: ['91-78=13']
Exploring Operation: 62-24=38, Resulting Numbers: [13, 38]
Generated Node #0,0,0: 34:[13, 38] Operation: 62-24=38
Moving to Node #0,0,0
Current State: 34:[13, 38], Operations: ['91-78=13', '62-24=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,34 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
44,
87,
74,
24
] | 33 | [
"44+87=131",
"74+24=98",
"131-98=33"
] | Current State: 33:[44, 87, 74, 24], Operations: []
Exploring Operation: 44+87=131, Resulting Numbers: [74, 24, 131]
Generated Node #2: [74, 24, 131] from Operation: 44+87=131
Current State: 33:[74, 24, 131], Operations: ['44+87=131']
Exploring Operation: 74+24=98, Resulting Numbers: [131, 98]
Generated Node #3: [131, 98] from Operation: 74+24=98
Current State: 33:[131, 98], Operations: ['44+87=131', '74+24=98']
Exploring Operation: 131-98=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[44, 87, 74, 24], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [44, 24, 13]
Generated Node #0,0: 33:[44, 24, 13] Operation: 87-74=13
Exploring Operation: 87-24=63, Resulting Numbers: [44, 74, 63]
Generated Node #0,1: 33:[44, 74, 63] Operation: 87-24=63
Exploring Operation: 74-44=30, Resulting Numbers: [87, 24, 30]
Generated Node #0,2: 33:[87, 24, 30] Operation: 74-44=30
Exploring Operation: 74-24=50, Resulting Numbers: [44, 87, 50]
Generated Node #0,3: 33:[44, 87, 50] Operation: 74-24=50
Exploring Operation: 87-44=43, Resulting Numbers: [74, 24, 43]
Generated Node #0,4: 33:[74, 24, 43] Operation: 87-44=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[44, 24, 13], Operations: ['87-74=13']
Exploring Operation: 24-13=11, Resulting Numbers: [44, 11]
Generated Node #0,0,0: 33:[44, 11] Operation: 24-13=11
Exploring Operation: 24+13=37, Resulting Numbers: [44, 37]
Generated Node #0,0,1: 33:[44, 37] Operation: 24+13=37
Exploring Operation: 44+13=57, Resulting Numbers: [24, 57]
Generated Node #0,0,2: 33:[24, 57] Operation: 44+13=57
Exploring Operation: 44-13=31, Resulting Numbers: [24, 31]
Generated Node #0,0,3: 33:[24, 31] Operation: 44-13=31
Exploring Operation: 44-24=20, Resulting Numbers: [13, 20]
Generated Node #0,0,4: 33:[13, 20] Operation: 44-24=20
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 33:[44, 11], Operations: ['87-74=13', '24-13=11']
Exploring Operation: 44+11=55, Resulting Numbers: [55]
55,33 unequal: No Solution
Exploring Operation: 44*11=484, Resulting Numbers: [484]
484,33 unequal: No Solution
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[44, 87, 74, 24], Operations: []
Exploring Operation: 87-74=13, Resulting Numbers: [44, 24, 13]
Generated Node #0,0: 33:[44, 24, 13] Operation: 87-74=13
Moving to Node #0,0
Current State: 33:[44, 24, 13], Operations: ['87-74=13']
Exploring Operation: 24-13=11, Resulting Numbers: [44, 11]
Generated Node #0,0,0: 33:[44, 11] Operation: 24-13=11
Moving to Node #0,0,0
Current State: 33:[44, 11], Operations: ['87-74=13', '24-13=11']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
91,
61,
31,
36
] | 50 | [
"61*31=1891",
"1891-91=1800",
"1800/36=50"
] | Current State: 50:[91, 61, 31, 36], Operations: []
Exploring Operation: 61*31=1891, Resulting Numbers: [91, 36, 1891]
Generated Node #2: [91, 36, 1891] from Operation: 61*31=1891
Current State: 50:[91, 36, 1891], Operations: ['61*31=1891']
Exploring Operation: 1891-91=1800, Resulting Numbers: [36, 1800]
Generated Node #3: [36, 1800] from Operation: 1891-91=1800
Current State: 50:[36, 1800], Operations: ['61*31=1891', '1891-91=1800']
Exploring Operation: 1800/36=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[91, 61, 31, 36], Operations: []
Exploring Operation: 91-61=30, Resulting Numbers: [31, 36, 30]
Generated Node #0,0: 50:[31, 36, 30] Operation: 91-61=30
Exploring Operation: 91-36=55, Resulting Numbers: [61, 31, 55]
Generated Node #0,1: 50:[61, 31, 55] Operation: 91-36=55
Moving to Node #0,0
Current State: 50:[31, 36, 30], Operations: ['91-61=30']
Exploring Operation: 36-30=6, Resulting Numbers: [31, 6]
Generated Node #0,0,0: 50:[31, 6] Operation: 36-30=6
Exploring Operation: 36-31=5, Resulting Numbers: [30, 5]
Generated Node #0,0,1: 50:[30, 5] Operation: 36-31=5
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 50:[30, 5], Operations: ['91-61=30', '36-31=5']
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,50 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 50:[31, 6], Operations: ['91-61=30', '36-30=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 50:[61, 31, 55], Operations: ['91-36=55']
Exploring Operation: 61-31=30, Resulting Numbers: [55, 30]
Generated Node #0,1,0: 50:[55, 30] Operation: 61-31=30
Exploring Operation: 61-55=6, Resulting Numbers: [31, 6]
Generated Node #0,1,1: 50:[31, 6] Operation: 61-55=6
Moving to Node #0,1,1
Current State: 50:[31, 6], Operations: ['91-36=55', '61-55=6']
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 31+6=37, Resulting Numbers: [37]
37,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[55, 30], Operations: ['91-36=55', '61-31=30']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 55+30=85, Resulting Numbers: [85]
85,50 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
48,
38,
44,
6
] | 19 | [
"48-44=4",
"6-4=2",
"38/2=19"
] | Current State: 19:[48, 38, 44, 6], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [38, 6, 4]
Generated Node #2: [38, 6, 4] from Operation: 48-44=4
Current State: 19:[38, 6, 4], Operations: ['48-44=4']
Exploring Operation: 6-4=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 6-4=2
Current State: 19:[38, 2], Operations: ['48-44=4', '6-4=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[48, 38, 44, 6], Operations: []
Exploring Operation: 48-38=10, Resulting Numbers: [44, 6, 10]
Generated Node #0,0: 19:[44, 6, 10] Operation: 48-38=10
Moving to Node #0,0
Current State: 19:[44, 6, 10], Operations: ['48-38=10']
Exploring Operation: 44-6=38, Resulting Numbers: [10, 38]
Generated Node #0,0,0: 19:[10, 38] Operation: 44-6=38
Moving to Node #0,0,0
Current State: 19:[10, 38], Operations: ['48-38=10', '44-6=38']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,19 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
30,
23,
70,
22
] | 99 | [
"30-23=7",
"70+22=92",
"7+92=99"
] | Current State: 99:[30, 23, 70, 22], Operations: []
Exploring Operation: 30-23=7, Resulting Numbers: [70, 22, 7]
Generated Node #2: [70, 22, 7] from Operation: 30-23=7
Current State: 99:[70, 22, 7], Operations: ['30-23=7']
Exploring Operation: 70+22=92, Resulting Numbers: [7, 92]
Generated Node #3: [7, 92] from Operation: 70+22=92
Current State: 99:[7, 92], Operations: ['30-23=7', '70+22=92']
Exploring Operation: 7+92=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[30, 23, 70, 22], Operations: []
Exploring Operation: 23+70=93, Resulting Numbers: [30, 22, 93]
Generated Node #0,0: 99:[30, 22, 93] Operation: 23+70=93
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[30, 22, 93], Operations: ['23+70=93']
Exploring Operation: 30-22=8, Resulting Numbers: [93, 8]
Generated Node #0,0,0: 99:[93, 8] Operation: 30-22=8
Moving to Node #0,0,0
Current State: 99:[93, 8], Operations: ['23+70=93', '30-22=8']
Exploring Operation: 93+8=101, Resulting Numbers: [101]
101,99 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 |
[
36,
46,
47,
63
] | 28 | [
"36+46=82",
"47+63=110",
"110-82=28"
] | Current State: 28:[36, 46, 47, 63], Operations: []
Exploring Operation: 36+46=82, Resulting Numbers: [47, 63, 82]
Generated Node #2: [47, 63, 82] from Operation: 36+46=82
Current State: 28:[47, 63, 82], Operations: ['36+46=82']
Exploring Operation: 47+63=110, Resulting Numbers: [82, 110]
Generated Node #3: [82, 110] from Operation: 47+63=110
Current State: 28:[82, 110], Operations: ['36+46=82', '47+63=110']
Exploring Operation: 110-82=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 | Current State: 28:[36, 46, 47, 63], Operations: []
Exploring Operation: 47-46=1, Resulting Numbers: [36, 63, 1]
Generated Node #0,0: 28:[36, 63, 1] Operation: 47-46=1
Exploring Operation: 63-36=27, Resulting Numbers: [46, 47, 27]
Generated Node #0,1: 28:[46, 47, 27] Operation: 63-36=27
Exploring Operation: 63-46=17, Resulting Numbers: [36, 47, 17]
Generated Node #0,2: 28:[36, 47, 17] Operation: 63-46=17
Exploring Operation: 63-47=16, Resulting Numbers: [36, 46, 16]
Generated Node #0,3: 28:[36, 46, 16] Operation: 63-47=16
Start Sub Search at level 1: Moving to Node #0,3
Current State: 28:[36, 46, 16], Operations: ['63-47=16']
Exploring Operation: 46-36=10, Resulting Numbers: [16, 10]
Generated Node #0,3,0: 28:[16, 10] Operation: 46-36=10
Exploring Operation: 46-16=30, Resulting Numbers: [36, 30]
Generated Node #0,3,1: 28:[36, 30] Operation: 46-16=30
Exploring Operation: 36+16=52, Resulting Numbers: [46, 52]
Generated Node #0,3,2: 28:[46, 52] Operation: 36+16=52
Exploring Operation: 36-16=20, Resulting Numbers: [46, 20]
Generated Node #0,3,3: 28:[46, 20] Operation: 36-16=20
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 28:[16, 10], Operations: ['63-47=16', '46-36=10']
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,28 unequal: No Solution
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 28:[36, 30], Operations: ['63-47=16', '46-16=30']
Exploring Operation: 36*30=1080, Resulting Numbers: [1080]
1080,28 unequal: No Solution
Exploring Operation: 36+30=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 36-30=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 28:[46, 20], Operations: ['63-47=16', '36-16=20']
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,28 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,28 unequal: No Solution
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 28:[46, 52], Operations: ['63-47=16', '36+16=52']
Exploring Operation: 46*52=2392, Resulting Numbers: [2392]
2392,28 unequal: No Solution
Exploring Operation: 46+52=98, Resulting Numbers: [98]
98,28 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,28 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 28:[36, 47, 17], Operations: ['63-46=17']
Exploring Operation: 47-36=11, Resulting Numbers: [17, 11]
Generated Node #0,2,0: 28:[17, 11] Operation: 47-36=11
Exploring Operation: 47-17=30, Resulting Numbers: [36, 30]
Generated Node #0,2,1: 28:[36, 30] Operation: 47-17=30
Exploring Operation: 36+17=53, Resulting Numbers: [47, 53]
Generated Node #0,2,2: 28:[47, 53] Operation: 36+17=53
Exploring Operation: 36-17=19, Resulting Numbers: [47, 19]
Generated Node #0,2,3: 28:[47, 19] Operation: 36-17=19
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 28:[17, 11], Operations: ['63-46=17', '47-36=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,28 unequal: No Solution
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,28 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Moving to Node #0
Current State: 28:[36, 46, 47, 63], Operations: []
Exploring Operation: 63-46=17, Resulting Numbers: [36, 47, 17]
Generated Node #0,2: 28:[36, 47, 17] Operation: 63-46=17
Moving to Node #0,2
Current State: 28:[36, 47, 17], Operations: ['63-46=17']
Exploring Operation: 47-36=11, Resulting Numbers: [17, 11]
Generated Node #0,2,0: 28:[17, 11] Operation: 47-36=11
Moving to Node #0,2,0
Current State: 28:[17, 11], Operations: ['63-46=17', '47-36=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_4 | sum_heuristic |
[
2,
23,
10,
50
] | 68 | [
"10/2=5",
"23+50=73",
"73-5=68"
] | Current State: 68:[2, 23, 10, 50], Operations: []
Exploring Operation: 10/2=5, Resulting Numbers: [23, 50, 5]
Generated Node #2: [23, 50, 5] from Operation: 10/2=5
Current State: 68:[23, 50, 5], Operations: ['10/2=5']
Exploring Operation: 23+50=73, Resulting Numbers: [5, 73]
Generated Node #3: [5, 73] from Operation: 23+50=73
Current State: 68:[5, 73], Operations: ['10/2=5', '23+50=73']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[2, 23, 10, 50], Operations: []
Exploring Operation: 50/10=5, Resulting Numbers: [2, 23, 5]
Generated Node #0,0: 68:[2, 23, 5] Operation: 50/10=5
Exploring Operation: 23+50=73, Resulting Numbers: [2, 10, 73]
Generated Node #0,1: 68:[2, 10, 73] Operation: 23+50=73
Exploring Operation: 50-23=27, Resulting Numbers: [2, 10, 27]
Generated Node #0,2: 68:[2, 10, 27] Operation: 50-23=27
Exploring Operation: 50-10=40, Resulting Numbers: [2, 23, 40]
Generated Node #0,3: 68:[2, 23, 40] Operation: 50-10=40
Moving to Node #0,0
Current State: 68:[2, 23, 5], Operations: ['50/10=5']
Exploring Operation: 5-2=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 68:[23, 3] Operation: 5-2=3
Exploring Operation: 23+5=28, Resulting Numbers: [2, 28]
Generated Node #0,0,1: 68:[2, 28] Operation: 23+5=28
Exploring Operation: 23-2=21, Resulting Numbers: [5, 21]
Generated Node #0,0,2: 68:[5, 21] Operation: 23-2=21
Exploring Operation: 23-5=18, Resulting Numbers: [2, 18]
Generated Node #0,0,3: 68:[2, 18] Operation: 23-5=18
Moving to Node #0,1
Current State: 68:[2, 10, 73], Operations: ['23+50=73']
Exploring Operation: 10-2=8, Resulting Numbers: [73, 8]
Generated Node #0,1,0: 68:[73, 8] Operation: 10-2=8
Exploring Operation: 73-10=63, Resulting Numbers: [2, 63]
Generated Node #0,1,1: 68:[2, 63] Operation: 73-10=63
Exploring Operation: 10/2=5, Resulting Numbers: [73, 5]
Generated Node #0,1,2: 68:[73, 5] Operation: 10/2=5
Exploring Operation: 2*10=20, Resulting Numbers: [73, 20]
Generated Node #0,1,3: 68:[73, 20] Operation: 2*10=20
Moving to Node #0,3
Current State: 68:[2, 23, 40], Operations: ['50-10=40']
Exploring Operation: 23-2=21, Resulting Numbers: [40, 21]
Generated Node #0,3,0: 68:[40, 21] Operation: 23-2=21
Exploring Operation: 40-23=17, Resulting Numbers: [2, 17]
Generated Node #0,3,1: 68:[2, 17] Operation: 40-23=17
Exploring Operation: 40/2=20, Resulting Numbers: [23, 20]
Generated Node #0,3,2: 68:[23, 20] Operation: 40/2=20
Exploring Operation: 23+40=63, Resulting Numbers: [2, 63]
Generated Node #0,3,3: 68:[2, 63] Operation: 23+40=63
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 68:[2, 17], Operations: ['50-10=40', '40-23=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 68:[2, 63], Operations: ['50-10=40', '23+40=63']
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,68 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 68:[23, 20], Operations: ['50-10=40', '40/2=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,68 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,68 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 68:[40, 21], Operations: ['50-10=40', '23-2=21']
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,68 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,68 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: 68:[2, 10, 27], Operations: ['50-23=27']
Exploring Operation: 10+27=37, Resulting Numbers: [2, 37]
Generated Node #0,2,0: 68:[2, 37] Operation: 10+27=37
Exploring Operation: 27-10=17, Resulting Numbers: [2, 17]
Generated Node #0,2,1: 68:[2, 17] Operation: 27-10=17
Exploring Operation: 10/2=5, Resulting Numbers: [27, 5]
Generated Node #0,2,2: 68:[27, 5] Operation: 10/2=5
Exploring Operation: 2*10=20, Resulting Numbers: [27, 20]
Generated Node #0,2,3: 68:[27, 20] Operation: 2*10=20
Moving to Node #0,2,1
Current State: 68:[2, 17], Operations: ['50-23=27', '27-10=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,68 unequal: No Solution
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,68 unequal: No Solution
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[2, 18], Operations: ['50/10=5', '23-5=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,68 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,68 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[2, 37], Operations: ['50-23=27', '10+27=37']
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,68 unequal: No Solution
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,68 unequal: No Solution
Exploring Operation: 2*37=74, Resulting Numbers: [74]
74,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[2, 63], Operations: ['23+50=73', '73-10=63']
Exploring Operation: 2*63=126, Resulting Numbers: [126]
126,68 unequal: No Solution
Exploring Operation: 2+63=65, Resulting Numbers: [65]
65,68 unequal: No Solution
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[5, 21], Operations: ['50/10=5', '23-2=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,68 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[2, 28], Operations: ['50/10=5', '23+5=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,68 unequal: No Solution
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,68 unequal: No Solution
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,68 unequal: No Solution
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[73, 5], Operations: ['23+50=73', '10/2=5']
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,68 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[2, 23, 10, 50], Operations: []
Exploring Operation: 23+50=73, Resulting Numbers: [2, 10, 73]
Generated Node #0,1: 68:[2, 10, 73] Operation: 23+50=73
Moving to Node #0,1
Current State: 68:[2, 10, 73], Operations: ['23+50=73']
Exploring Operation: 10/2=5, Resulting Numbers: [73, 5]
Generated Node #0,1,2: 68:[73, 5] Operation: 10/2=5
Moving to Node #0,1,2
Current State: 68:[73, 5], Operations: ['23+50=73', '10/2=5']
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.949653 | hs_4 | sum_heuristic |
[
8,
7,
24,
78
] | 74 | [
"24/8=3",
"78-7=71",
"3+71=74"
] | Current State: 74:[8, 7, 24, 78], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [7, 78, 3]
Generated Node #2: [7, 78, 3] from Operation: 24/8=3
Current State: 74:[7, 78, 3], Operations: ['24/8=3']
Exploring Operation: 78-7=71, Resulting Numbers: [3, 71]
Generated Node #3: [3, 71] from Operation: 78-7=71
Current State: 74:[3, 71], Operations: ['24/8=3', '78-7=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[8, 7, 24, 78], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [7, 78, 3]
Generated Node #0,0: 74:[7, 78, 3] Operation: 24/8=3
Exploring Operation: 8+24=32, Resulting Numbers: [7, 78, 32]
Generated Node #0,1: 74:[7, 78, 32] Operation: 8+24=32
Moving to Node #0,0
Current State: 74:[7, 78, 3], Operations: ['24/8=3']
Exploring Operation: 78-7=71, Resulting Numbers: [3, 71]
Generated Node #0,0,0: 74:[3, 71] Operation: 78-7=71
Exploring Operation: 7-3=4, Resulting Numbers: [78, 4]
Generated Node #0,0,1: 74:[78, 4] Operation: 7-3=4
Moving to Node #0,1
Current State: 74:[7, 78, 32], Operations: ['8+24=32']
Exploring Operation: 7+32=39, Resulting Numbers: [78, 39]
Generated Node #0,1,0: 74:[78, 39] Operation: 7+32=39
Exploring Operation: 78-7=71, Resulting Numbers: [32, 71]
Generated Node #0,1,1: 74:[32, 71] Operation: 78-7=71
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 74:[78, 39], Operations: ['8+24=32', '7+32=39']
Exploring Operation: 78-39=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 78/39=2, Resulting Numbers: [2]
2,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 74:[32, 71], Operations: ['8+24=32', '78-7=71']
Exploring Operation: 32+71=103, Resulting Numbers: [103]
103,74 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,74 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: 74:[3, 71], Operations: ['24/8=3', '78-7=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[8, 7, 24, 78], Operations: []
Exploring Operation: 24/8=3, Resulting Numbers: [7, 78, 3]
Generated Node #0,0: 74:[7, 78, 3] Operation: 24/8=3
Moving to Node #0,0
Current State: 74:[7, 78, 3], Operations: ['24/8=3']
Exploring Operation: 78-7=71, Resulting Numbers: [3, 71]
Generated Node #0,0,0: 74:[3, 71] Operation: 78-7=71
Moving to Node #0,0,0
Current State: 74:[3, 71], Operations: ['24/8=3', '78-7=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
4,
54,
95,
12
] | 89 | [
"4*12=48",
"95-54=41",
"48+41=89"
] | Current State: 89:[4, 54, 95, 12], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [54, 95, 48]
Generated Node #2: [54, 95, 48] from Operation: 4*12=48
Current State: 89:[54, 95, 48], Operations: ['4*12=48']
Exploring Operation: 95-54=41, Resulting Numbers: [48, 41]
Generated Node #3: [48, 41] from Operation: 95-54=41
Current State: 89:[48, 41], Operations: ['4*12=48', '95-54=41']
Exploring Operation: 48+41=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[4, 54, 95, 12], Operations: []
Exploring Operation: 4*12=48, Resulting Numbers: [54, 95, 48]
Generated Node #0,0: 89:[54, 95, 48] Operation: 4*12=48
Moving to Node #0,0
Current State: 89:[54, 95, 48], Operations: ['4*12=48']
Exploring Operation: 54+48=102, Resulting Numbers: [95, 102]
Generated Node #0,0,0: 89:[95, 102] Operation: 54+48=102
Moving to Node #0,0,0
Current State: 89:[95, 102], Operations: ['4*12=48', '54+48=102']
Exploring Operation: 102-95=7, Resulting Numbers: [7]
7,89 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
18,
88,
10,
50
] | 20 | [
"18*50=900",
"88*10=880",
"900-880=20"
] | Current State: 20:[18, 88, 10, 50], Operations: []
Exploring Operation: 18*50=900, Resulting Numbers: [88, 10, 900]
Generated Node #2: [88, 10, 900] from Operation: 18*50=900
Current State: 20:[88, 10, 900], Operations: ['18*50=900']
Exploring Operation: 88*10=880, Resulting Numbers: [900, 880]
Generated Node #3: [900, 880] from Operation: 88*10=880
Current State: 20:[900, 880], Operations: ['18*50=900', '88*10=880']
Exploring Operation: 900-880=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[18, 88, 10, 50], Operations: []
Exploring Operation: 88-50=38, Resulting Numbers: [18, 10, 38]
Generated Node #0,0: 20:[18, 10, 38] Operation: 88-50=38
Exploring Operation: 50/10=5, Resulting Numbers: [18, 88, 5]
Generated Node #0,1: 20:[18, 88, 5] Operation: 50/10=5
Exploring Operation: 88-18=70, Resulting Numbers: [10, 50, 70]
Generated Node #0,2: 20:[10, 50, 70] Operation: 88-18=70
Exploring Operation: 88-10=78, Resulting Numbers: [18, 50, 78]
Generated Node #0,3: 20:[18, 50, 78] Operation: 88-10=78
Exploring Operation: 50-18=32, Resulting Numbers: [88, 10, 32]
Generated Node #0,4: 20:[88, 10, 32] Operation: 50-18=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[18, 10, 38], Operations: ['88-50=38']
Exploring Operation: 38-18=20, Resulting Numbers: [10, 20]
Generated Node #0,0,0: 20:[10, 20] Operation: 38-18=20
Exploring Operation: 18+10=28, Resulting Numbers: [38, 28]
Generated Node #0,0,1: 20:[38, 28] Operation: 18+10=28
Exploring Operation: 18-10=8, Resulting Numbers: [38, 8]
Generated Node #0,0,2: 20:[38, 8] Operation: 18-10=8
Exploring Operation: 10+38=48, Resulting Numbers: [18, 48]
Generated Node #0,0,3: 20:[18, 48] Operation: 10+38=48
Exploring Operation: 38-10=28, Resulting Numbers: [18, 28]
Generated Node #0,0,4: 20:[18, 28] Operation: 38-10=28
Moving to Node #0,0,0
Current State: 20:[10, 20], Operations: ['88-50=38', '38-18=20']
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,20 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,20 unequal: No Solution
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,0,4
Current State: 20:[18, 28], Operations: ['88-50=38', '38-10=28']
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[38, 8], Operations: ['88-50=38', '18-10=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,20 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Moving to Node #0,0,1
Current State: 20:[38, 28], Operations: ['88-50=38', '18+10=28']
Exploring Operation: 38+28=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 38*28=1064, Resulting Numbers: [1064]
1064,20 unequal: No Solution
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Moving to Node #0,0,3
Current State: 20:[18, 48], Operations: ['88-50=38', '10+38=48']
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,20 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,20 unequal: No Solution
No 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:[18, 88, 5], Operations: ['50/10=5']
Exploring Operation: 88+5=93, Resulting Numbers: [18, 93]
Generated Node #0,1,0: 20:[18, 93] Operation: 88+5=93
Exploring Operation: 88-5=83, Resulting Numbers: [18, 83]
Generated Node #0,1,1: 20:[18, 83] Operation: 88-5=83
Exploring Operation: 18-5=13, Resulting Numbers: [88, 13]
Generated Node #0,1,2: 20:[88, 13] Operation: 18-5=13
Exploring Operation: 18+5=23, Resulting Numbers: [88, 23]
Generated Node #0,1,3: 20:[88, 23] Operation: 18+5=23
Exploring Operation: 88-18=70, Resulting Numbers: [5, 70]
Generated Node #0,1,4: 20:[5, 70] Operation: 88-18=70
Moving to Node #0,1,4
Current State: 20:[5, 70], Operations: ['50/10=5', '88-18=70']
Exploring Operation: 5*70=350, Resulting Numbers: [350]
350,20 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 5+70=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Moving to Node #0,1,1
Current State: 20:[18, 83], Operations: ['50/10=5', '88-5=83']
Exploring Operation: 18+83=101, Resulting Numbers: [101]
101,20 unequal: No Solution
Exploring Operation: 18*83=1494, Resulting Numbers: [1494]
1494,20 unequal: No Solution
Exploring Operation: 83-18=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Moving to Node #0,1,2
Current State: 20:[88, 13], Operations: ['50/10=5', '18-5=13']
Exploring Operation: 88-13=75, Resulting Numbers: [75]
75,20 unequal: No Solution
Exploring Operation: 88+13=101, Resulting Numbers: [101]
101,20 unequal: No Solution
Exploring Operation: 88*13=1144, Resulting Numbers: [1144]
1144,20 unequal: No Solution
Moving to Node #0,1,3
Current State: 20:[88, 23], Operations: ['50/10=5', '18+5=23']
Exploring Operation: 88+23=111, Resulting Numbers: [111]
111,20 unequal: No Solution
Exploring Operation: 88*23=2024, Resulting Numbers: [2024]
2024,20 unequal: No Solution
Exploring Operation: 88-23=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Moving to Node #0,1,0
Current State: 20:[18, 93], Operations: ['50/10=5', '88+5=93']
Exploring Operation: 18+93=111, Resulting Numbers: [111]
111,20 unequal: No Solution
Exploring Operation: 18*93=1674, Resulting Numbers: [1674]
1674,20 unequal: No Solution
Exploring Operation: 93-18=75, Resulting Numbers: [75]
75,20 unequal: No Solution
No 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: 20:[10, 50, 70], Operations: ['88-18=70']
Exploring Operation: 70-50=20, Resulting Numbers: [10, 20]
Generated Node #0,2,0: 20:[10, 20] Operation: 70-50=20
Exploring Operation: 50/10=5, Resulting Numbers: [70, 5]
Generated Node #0,2,1: 20:[70, 5] Operation: 50/10=5
Exploring Operation: 50-10=40, Resulting Numbers: [70, 40]
Generated Node #0,2,2: 20:[70, 40] Operation: 50-10=40
Exploring Operation: 70/10=7, Resulting Numbers: [50, 7]
Generated Node #0,2,3: 20:[50, 7] Operation: 70/10=7
Exploring Operation: 70-10=60, Resulting Numbers: [50, 60]
Generated Node #0,2,4: 20:[50, 60] Operation: 70-10=60
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[10, 20], Operations: ['88-18=70', '70-50=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 10*20=200, Resulting Numbers: [200]
200,20 unequal: No Solution
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,20 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 #0,2,3
Current State: 20:[50, 7], Operations: ['88-18=70', '70/10=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,20 unequal: No Solution
Exploring Operation: 50-7=43, Resulting Numbers: [43]
43,20 unequal: No Solution
Exploring Operation: 50*7=350, Resulting Numbers: [350]
350,20 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 #0,2,1
Current State: 20:[70, 5], Operations: ['88-18=70', '50/10=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,20 unequal: No Solution
Exploring Operation: 70-5=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Exploring Operation: 70*5=350, Resulting Numbers: [350]
350,20 unequal: No Solution
Exploring Operation: 70+5=75, Resulting Numbers: [75]
75,20 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 #0,2,2
Current State: 20:[70, 40], Operations: ['88-18=70', '50-10=40']
Exploring Operation: 70*40=2800, Resulting Numbers: [2800]
2800,20 unequal: No Solution
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,20 unequal: No Solution
Exploring Operation: 70+40=110, Resulting Numbers: [110]
110,20 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 #0,2,4
Current State: 20:[50, 60], Operations: ['88-18=70', '70-10=60']
Exploring Operation: 50+60=110, Resulting Numbers: [110]
110,20 unequal: No Solution
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 50*60=3000, Resulting Numbers: [3000]
3000,20 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 #0,4
Current State: 20:[88, 10, 32], Operations: ['50-18=32']
Exploring Operation: 10+32=42, Resulting Numbers: [88, 42]
Generated Node #0,4,0: 20:[88, 42] Operation: 10+32=42
Exploring Operation: 88-32=56, Resulting Numbers: [10, 56]
Generated Node #0,4,1: 20:[10, 56] Operation: 88-32=56
Exploring Operation: 32-10=22, Resulting Numbers: [88, 22]
Generated Node #0,4,2: 20:[88, 22] Operation: 32-10=22
Exploring Operation: 88-10=78, Resulting Numbers: [32, 78]
Generated Node #0,4,3: 20:[32, 78] Operation: 88-10=78
Exploring Operation: 88+10=98, Resulting Numbers: [32, 98]
Generated Node #0,4,4: 20:[32, 98] Operation: 88+10=98
Moving to Node #0,4,1
Current State: 20:[10, 56], Operations: ['50-18=32', '88-32=56']
Exploring Operation: 56-10=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 10*56=560, Resulting Numbers: [560]
560,20 unequal: No Solution
Exploring Operation: 10+56=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Moving to Node #0,4,3
Current State: 20:[32, 78], Operations: ['50-18=32', '88-10=78']
Exploring Operation: 32*78=2496, Resulting Numbers: [2496]
2496,20 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 32+78=110, Resulting Numbers: [110]
110,20 unequal: No Solution
Moving to Node #0,4,2
Current State: 20:[88, 22], Operations: ['50-18=32', '32-10=22']
Exploring Operation: 88+22=110, Resulting Numbers: [110]
110,20 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,20 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 88*22=1936, Resulting Numbers: [1936]
1936,20 unequal: No Solution
Moving to Node #0,4,0
Current State: 20:[88, 42], Operations: ['50-18=32', '10+32=42']
Exploring Operation: 88*42=3696, Resulting Numbers: [3696]
3696,20 unequal: No Solution
Exploring Operation: 88+42=130, Resulting Numbers: [130]
130,20 unequal: No Solution
Exploring Operation: 88-42=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Moving to Node #0,4,4
Current State: 20:[32, 98], Operations: ['50-18=32', '88+10=98']
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,20 unequal: No Solution
Exploring Operation: 32+98=130, Resulting Numbers: [130]
130,20 unequal: No Solution
Exploring Operation: 32*98=3136, Resulting Numbers: [3136]
3136,20 unequal: No Solution
No 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: 20:[18, 50, 78], Operations: ['88-10=78']
Exploring Operation: 50-18=32, Resulting Numbers: [78, 32]
Generated Node #0,3,0: 20:[78, 32] Operation: 50-18=32
Exploring Operation: 18+78=96, Resulting Numbers: [50, 96]
Generated Node #0,3,1: 20:[50, 96] Operation: 18+78=96
Exploring Operation: 18+50=68, Resulting Numbers: [78, 68]
Generated Node #0,3,2: 20:[78, 68] Operation: 18+50=68
Exploring Operation: 78-50=28, Resulting Numbers: [18, 28]
Generated Node #0,3,3: 20:[18, 28] Operation: 78-50=28
Exploring Operation: 78-18=60, Resulting Numbers: [50, 60]
Generated Node #0,3,4: 20:[50, 60] Operation: 78-18=60
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 20:[18, 28], Operations: ['88-10=78', '78-50=28']
Exploring Operation: 18+28=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 28-18=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 18*28=504, Resulting Numbers: [504]
504,20 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 #0,3,0
Current State: 20:[78, 32], Operations: ['88-10=78', '50-18=32']
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,20 unequal: No Solution
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,20 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,20 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 #0,3,4
Current State: 20:[50, 60], Operations: ['88-10=78', '78-18=60']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 50+60=110, Resulting Numbers: [110]
110,20 unequal: No Solution
Exploring Operation: 50*60=3000, Resulting Numbers: [3000]
3000,20 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 #0,3,1
Current State: 20:[50, 96], Operations: ['88-10=78', '18+78=96']
Exploring Operation: 50*96=4800, Resulting Numbers: [4800]
4800,20 unequal: No Solution
Exploring Operation: 50+96=146, Resulting Numbers: [146]
146,20 unequal: No Solution
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,20 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 #0,3,2
Current State: 20:[78, 68], Operations: ['88-10=78', '18+50=68']
Exploring Operation: 78-68=10, Resulting Numbers: [10]
10,20 unequal: No Solution
Exploring Operation: 78+68=146, Resulting Numbers: [146]
146,20 unequal: No Solution
Exploring Operation: 78*68=5304, Resulting Numbers: [5304]
5304,20 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_5 | sum_heuristic |
[
90,
84,
38,
78
] | 53 | [
"84-78=6",
"90/6=15",
"38+15=53"
] | Current State: 53:[90, 84, 38, 78], Operations: []
Exploring Operation: 84-78=6, Resulting Numbers: [90, 38, 6]
Generated Node #2: [90, 38, 6] from Operation: 84-78=6
Current State: 53:[90, 38, 6], Operations: ['84-78=6']
Exploring Operation: 90/6=15, Resulting Numbers: [38, 15]
Generated Node #3: [38, 15] from Operation: 90/6=15
Current State: 53:[38, 15], Operations: ['84-78=6', '90/6=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[90, 84, 38, 78], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [84, 38, 12]
Generated Node #0,0: 53:[84, 38, 12] Operation: 90-78=12
Exploring Operation: 90-38=52, Resulting Numbers: [84, 78, 52]
Generated Node #0,1: 53:[84, 78, 52] Operation: 90-38=52
Exploring Operation: 78-38=40, Resulting Numbers: [90, 84, 40]
Generated Node #0,2: 53:[90, 84, 40] Operation: 78-38=40
Exploring Operation: 90-84=6, Resulting Numbers: [38, 78, 6]
Generated Node #0,3: 53:[38, 78, 6] Operation: 90-84=6
Exploring Operation: 84-38=46, Resulting Numbers: [90, 78, 46]
Generated Node #0,4: 53:[90, 78, 46] Operation: 84-38=46
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[84, 78, 52], Operations: ['90-38=52']
Exploring Operation: 84-78=6, Resulting Numbers: [52, 6]
Generated Node #0,1,0: 53:[52, 6] Operation: 84-78=6
Exploring Operation: 78+52=130, Resulting Numbers: [84, 130]
Generated Node #0,1,1: 53:[84, 130] Operation: 78+52=130
Exploring Operation: 84-52=32, Resulting Numbers: [78, 32]
Generated Node #0,1,2: 53:[78, 32] Operation: 84-52=32
Exploring Operation: 78-52=26, Resulting Numbers: [84, 26]
Generated Node #0,1,3: 53:[84, 26] Operation: 78-52=26
Exploring Operation: 84+52=136, Resulting Numbers: [78, 136]
Generated Node #0,1,4: 53:[78, 136] Operation: 84+52=136
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 53:[78, 32], Operations: ['90-38=52', '84-52=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,53 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 53:[52, 6], Operations: ['90-38=52', '84-78=6']
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 53:[84, 26], Operations: ['90-38=52', '78-52=26']
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 53:[84, 130], Operations: ['90-38=52', '78+52=130']
Exploring Operation: 84+130=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 84*130=10920, Resulting Numbers: [10920]
10920,53 unequal: No Solution
Exploring Operation: 130-84=46, Resulting Numbers: [46]
46,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 53:[78, 136], Operations: ['90-38=52', '84+52=136']
Exploring Operation: 136-78=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 78+136=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 78*136=10608, Resulting Numbers: [10608]
10608,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 53:[90, 78, 46], Operations: ['84-38=46']
Exploring Operation: 78+46=124, Resulting Numbers: [90, 124]
Generated Node #0,4,0: 53:[90, 124] Operation: 78+46=124
Exploring Operation: 90-78=12, Resulting Numbers: [46, 12]
Generated Node #0,4,1: 53:[46, 12] Operation: 90-78=12
Exploring Operation: 78-46=32, Resulting Numbers: [90, 32]
Generated Node #0,4,2: 53:[90, 32] Operation: 78-46=32
Exploring Operation: 90+46=136, Resulting Numbers: [78, 136]
Generated Node #0,4,3: 53:[78, 136] Operation: 90+46=136
Exploring Operation: 90-46=44, Resulting Numbers: [78, 44]
Generated Node #0,4,4: 53:[78, 44] Operation: 90-46=44
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 53:[78, 44], Operations: ['84-38=46', '90-46=44']
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,53 unequal: No Solution
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 53:[46, 12], Operations: ['84-38=46', '90-78=12']
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,53 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 53:[90, 32], Operations: ['84-38=46', '78-46=32']
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,53 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 53:[90, 124], Operations: ['84-38=46', '78+46=124']
Exploring Operation: 90+124=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 124-90=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 90*124=11160, Resulting Numbers: [11160]
11160,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 53:[78, 136], Operations: ['84-38=46', '90+46=136']
Exploring Operation: 136-78=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 78+136=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 78*136=10608, Resulting Numbers: [10608]
10608,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 53:[90, 84, 40], Operations: ['78-38=40']
Exploring Operation: 90-40=50, Resulting Numbers: [84, 50]
Generated Node #0,2,0: 53:[84, 50] Operation: 90-40=50
Exploring Operation: 84+40=124, Resulting Numbers: [90, 124]
Generated Node #0,2,1: 53:[90, 124] Operation: 84+40=124
Exploring Operation: 90+40=130, Resulting Numbers: [84, 130]
Generated Node #0,2,2: 53:[84, 130] Operation: 90+40=130
Exploring Operation: 90-84=6, Resulting Numbers: [40, 6]
Generated Node #0,2,3: 53:[40, 6] Operation: 90-84=6
Exploring Operation: 84-40=44, Resulting Numbers: [90, 44]
Generated Node #0,2,4: 53:[90, 44] Operation: 84-40=44
Moving to Node #0,2,0
Current State: 53:[84, 50], Operations: ['78-38=40', '90-40=50']
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,53 unequal: No Solution
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,53 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,2,4
Current State: 53:[90, 44], Operations: ['78-38=40', '84-40=44']
Exploring Operation: 90*44=3960, Resulting Numbers: [3960]
3960,53 unequal: No Solution
Exploring Operation: 90+44=134, Resulting Numbers: [134]
134,53 unequal: No Solution
Exploring Operation: 90-44=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Moving to Node #0,2,3
Current State: 53:[40, 6], Operations: ['78-38=40', '90-84=6']
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,53 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[90, 124], Operations: ['78-38=40', '84+40=124']
Exploring Operation: 90*124=11160, Resulting Numbers: [11160]
11160,53 unequal: No Solution
Exploring Operation: 90+124=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 124-90=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[84, 130], Operations: ['78-38=40', '90+40=130']
Exploring Operation: 84+130=214, Resulting Numbers: [214]
214,53 unequal: No Solution
Exploring Operation: 130-84=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 84*130=10920, Resulting Numbers: [10920]
10920,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[84, 38, 12], Operations: ['90-78=12']
Exploring Operation: 38+12=50, Resulting Numbers: [84, 50]
Generated Node #0,0,0: 53:[84, 50] Operation: 38+12=50
Exploring Operation: 38-12=26, Resulting Numbers: [84, 26]
Generated Node #0,0,1: 53:[84, 26] Operation: 38-12=26
Exploring Operation: 84+12=96, Resulting Numbers: [38, 96]
Generated Node #0,0,2: 53:[38, 96] Operation: 84+12=96
Exploring Operation: 84-12=72, Resulting Numbers: [38, 72]
Generated Node #0,0,3: 53:[38, 72] Operation: 84-12=72
Exploring Operation: 84-38=46, Resulting Numbers: [12, 46]
Generated Node #0,0,4: 53:[12, 46] Operation: 84-38=46
Moving to Node #0,0,0
Current State: 53:[84, 50], Operations: ['90-78=12', '38+12=50']
Exploring Operation: 84*50=4200, Resulting Numbers: [4200]
4200,53 unequal: No Solution
Exploring Operation: 84+50=134, Resulting Numbers: [134]
134,53 unequal: No Solution
Exploring Operation: 84-50=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,0,3
Current State: 53:[38, 72], Operations: ['90-78=12', '84-12=72']
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,53 unequal: No Solution
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,0,4
Current State: 53:[12, 46], Operations: ['90-78=12', '84-38=46']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 12+46=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 12*46=552, Resulting Numbers: [552]
552,53 unequal: No Solution
Moving to Node #0,0,1
Current State: 53:[84, 26], Operations: ['90-78=12', '38-12=26']
Exploring Operation: 84+26=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 84-26=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 84*26=2184, Resulting Numbers: [2184]
2184,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[38, 96], Operations: ['90-78=12', '84+12=96']
Exploring Operation: 96-38=58, Resulting Numbers: [58]
58,53 unequal: No Solution
Exploring Operation: 38+96=134, Resulting Numbers: [134]
134,53 unequal: No Solution
Exploring Operation: 38*96=3648, Resulting Numbers: [3648]
3648,53 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 #0,3
Current State: 53:[38, 78, 6], Operations: ['90-84=6']
Exploring Operation: 38+6=44, Resulting Numbers: [78, 44]
Generated Node #0,3,0: 53:[78, 44] Operation: 38+6=44
Exploring Operation: 78-6=72, Resulting Numbers: [38, 72]
Generated Node #0,3,1: 53:[38, 72] Operation: 78-6=72
Exploring Operation: 78+6=84, Resulting Numbers: [38, 84]
Generated Node #0,3,2: 53:[38, 84] Operation: 78+6=84
Exploring Operation: 78/6=13, Resulting Numbers: [38, 13]
Generated Node #0,3,3: 53:[38, 13] Operation: 78/6=13
Exploring Operation: 38-6=32, Resulting Numbers: [78, 32]
Generated Node #0,3,4: 53:[78, 32] Operation: 38-6=32
Moving to Node #0,3,0
Current State: 53:[78, 44], Operations: ['90-84=6', '38+6=44']
Exploring Operation: 78*44=3432, Resulting Numbers: [3432]
3432,53 unequal: No Solution
Exploring Operation: 78+44=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Moving to Node #0,3,1
Current State: 53:[38, 72], Operations: ['90-84=6', '78-6=72']
Exploring Operation: 38*72=2736, Resulting Numbers: [2736]
2736,53 unequal: No Solution
Exploring Operation: 72-38=34, Resulting Numbers: [34]
34,53 unequal: No Solution
Exploring Operation: 38+72=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Moving to Node #0,3,2
Current State: 53:[38, 84], Operations: ['90-84=6', '78+6=84']
Exploring Operation: 38*84=3192, Resulting Numbers: [3192]
3192,53 unequal: No Solution
Exploring Operation: 38+84=122, Resulting Numbers: [122]
122,53 unequal: No Solution
Exploring Operation: 84-38=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Moving to Node #0,3,4
Current State: 53:[78, 32], Operations: ['90-84=6', '38-6=32']
Exploring Operation: 78-32=46, Resulting Numbers: [46]
46,53 unequal: No Solution
Exploring Operation: 78+32=110, Resulting Numbers: [110]
110,53 unequal: No Solution
Exploring Operation: 78*32=2496, Resulting Numbers: [2496]
2496,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[38, 13], Operations: ['90-84=6', '78/6=13']
Exploring Operation: 38+13=51, Resulting Numbers: [51]
51,53 unequal: No Solution
Exploring Operation: 38*13=494, Resulting Numbers: [494]
494,53 unequal: No Solution
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,53 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 |
[
30,
73,
99,
77
] | 33 | [
"30*77=2310",
"99+2310=2409",
"2409/73=33"
] | Current State: 33:[30, 73, 99, 77], Operations: []
Exploring Operation: 30*77=2310, Resulting Numbers: [73, 99, 2310]
Generated Node #2: [73, 99, 2310] from Operation: 30*77=2310
Current State: 33:[73, 99, 2310], Operations: ['30*77=2310']
Exploring Operation: 99+2310=2409, Resulting Numbers: [73, 2409]
Generated Node #3: [73, 2409] from Operation: 99+2310=2409
Current State: 33:[73, 2409], Operations: ['30*77=2310', '99+2310=2409']
Exploring Operation: 2409/73=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[30, 73, 99, 77], Operations: []
Exploring Operation: 99-73=26, Resulting Numbers: [30, 77, 26]
Generated Node #0,0: 33:[30, 77, 26] Operation: 99-73=26
Exploring Operation: 99-77=22, Resulting Numbers: [30, 73, 22]
Generated Node #0,1: 33:[30, 73, 22] Operation: 99-77=22
Moving to Node #0,0
Current State: 33:[30, 77, 26], Operations: ['99-73=26']
Exploring Operation: 77-30=47, Resulting Numbers: [26, 47]
Generated Node #0,0,0: 33:[26, 47] Operation: 77-30=47
Exploring Operation: 77-26=51, Resulting Numbers: [30, 51]
Generated Node #0,0,1: 33:[30, 51] Operation: 77-26=51
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[26, 47], Operations: ['99-73=26', '77-30=47']
Exploring Operation: 47-26=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 26+47=73, Resulting Numbers: [73]
73,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 33:[30, 51], Operations: ['99-73=26', '77-26=51']
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,33 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: 33:[30, 73, 22], Operations: ['99-77=22']
Exploring Operation: 73-30=43, Resulting Numbers: [22, 43]
Generated Node #0,1,0: 33:[22, 43] Operation: 73-30=43
Exploring Operation: 73-22=51, Resulting Numbers: [30, 51]
Generated Node #0,1,1: 33:[30, 51] Operation: 73-22=51
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[22, 43], Operations: ['99-77=22', '73-30=43']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,33 unequal: No Solution
Exploring Operation: 22+43=65, Resulting Numbers: [65]
65,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[30, 51], Operations: ['99-77=22', '73-22=51']
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,33 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
59,
44,
77,
60
] | 86 | [
"59+44=103",
"77-60=17",
"103-17=86"
] | Current State: 86:[59, 44, 77, 60], Operations: []
Exploring Operation: 59+44=103, Resulting Numbers: [77, 60, 103]
Generated Node #2: [77, 60, 103] from Operation: 59+44=103
Current State: 86:[77, 60, 103], Operations: ['59+44=103']
Exploring Operation: 77-60=17, Resulting Numbers: [103, 17]
Generated Node #3: [103, 17] from Operation: 77-60=17
Current State: 86:[103, 17], Operations: ['59+44=103', '77-60=17']
Exploring Operation: 103-17=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[59, 44, 77, 60], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [44, 77, 1]
Generated Node #0,0: 86:[44, 77, 1] Operation: 60-59=1
Exploring Operation: 77-59=18, Resulting Numbers: [44, 60, 18]
Generated Node #0,1: 86:[44, 60, 18] Operation: 77-59=18
Exploring Operation: 77-60=17, Resulting Numbers: [59, 44, 17]
Generated Node #0,2: 86:[59, 44, 17] Operation: 77-60=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[44, 77, 1], Operations: ['60-59=1']
Exploring Operation: 44*1=44, Resulting Numbers: [77, 44]
Generated Node #0,0,0: 86:[77, 44] Operation: 44*1=44
Exploring Operation: 44-1=43, Resulting Numbers: [77, 43]
Generated Node #0,0,1: 86:[77, 43] Operation: 44-1=43
Exploring Operation: 77+1=78, Resulting Numbers: [44, 78]
Generated Node #0,0,2: 86:[44, 78] Operation: 77+1=78
Moving to Node #0,0,1
Current State: 86:[77, 43], Operations: ['60-59=1', '44-1=43']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Exploring Operation: 77*43=3311, Resulting Numbers: [3311]
3311,86 unequal: No Solution
Exploring Operation: 77+43=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[44, 78], Operations: ['60-59=1', '77+1=78']
Exploring Operation: 44*78=3432, Resulting Numbers: [3432]
3432,86 unequal: No Solution
Exploring Operation: 44+78=122, Resulting Numbers: [122]
122,86 unequal: No Solution
Exploring Operation: 78-44=34, Resulting Numbers: [34]
34,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[77, 44], Operations: ['60-59=1', '44*1=44']
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,86 unequal: No Solution
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,86 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,86 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 #0,2
Current State: 86:[59, 44, 17], Operations: ['77-60=17']
Exploring Operation: 59-44=15, Resulting Numbers: [17, 15]
Generated Node #0,2,0: 86:[17, 15] Operation: 59-44=15
Exploring Operation: 59-17=42, Resulting Numbers: [44, 42]
Generated Node #0,2,1: 86:[44, 42] Operation: 59-17=42
Exploring Operation: 59+17=76, Resulting Numbers: [44, 76]
Generated Node #0,2,2: 86:[44, 76] Operation: 59+17=76
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 86:[44, 42], Operations: ['77-60=17', '59-17=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[59, 44, 77, 60], Operations: []
Exploring Operation: 77-60=17, Resulting Numbers: [59, 44, 17]
Generated Node #0,2: 86:[59, 44, 17] Operation: 77-60=17
Moving to Node #0,2
Current State: 86:[59, 44, 17], Operations: ['77-60=17']
Exploring Operation: 59-17=42, Resulting Numbers: [44, 42]
Generated Node #0,2,1: 86:[44, 42] Operation: 59-17=42
Moving to Node #0,2,1
Current State: 86:[44, 42], Operations: ['77-60=17', '59-17=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
11,
32,
64,
90
] | 56 | [
"64/32=2",
"90/2=45",
"11+45=56"
] | Current State: 56:[11, 32, 64, 90], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [11, 90, 2]
Generated Node #2: [11, 90, 2] from Operation: 64/32=2
Current State: 56:[11, 90, 2], Operations: ['64/32=2']
Exploring Operation: 90/2=45, Resulting Numbers: [11, 45]
Generated Node #3: [11, 45] from Operation: 90/2=45
Current State: 56:[11, 45], Operations: ['64/32=2', '90/2=45']
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[11, 32, 64, 90], Operations: []
Exploring Operation: 90-11=79, Resulting Numbers: [32, 64, 79]
Generated Node #0,0: 56:[32, 64, 79] Operation: 90-11=79
Exploring Operation: 64/32=2, Resulting Numbers: [11, 90, 2]
Generated Node #0,1: 56:[11, 90, 2] Operation: 64/32=2
Exploring Operation: 90-32=58, Resulting Numbers: [11, 64, 58]
Generated Node #0,2: 56:[11, 64, 58] Operation: 90-32=58
Exploring Operation: 90-64=26, Resulting Numbers: [11, 32, 26]
Generated Node #0,3: 56:[11, 32, 26] Operation: 90-64=26
Moving to Node #0,3
Current State: 56:[11, 32, 26], Operations: ['90-64=26']
Exploring Operation: 32-26=6, Resulting Numbers: [11, 6]
Generated Node #0,3,0: 56:[11, 6] Operation: 32-26=6
Exploring Operation: 32+26=58, Resulting Numbers: [11, 58]
Generated Node #0,3,1: 56:[11, 58] Operation: 32+26=58
Exploring Operation: 26-11=15, Resulting Numbers: [32, 15]
Generated Node #0,3,2: 56:[32, 15] Operation: 26-11=15
Exploring Operation: 32-11=21, Resulting Numbers: [26, 21]
Generated Node #0,3,3: 56:[26, 21] Operation: 32-11=21
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 56:[11, 6], Operations: ['90-64=26', '32-26=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 56:[11, 58], Operations: ['90-64=26', '32+26=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,56 unequal: No Solution
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 11*58=638, Resulting Numbers: [638]
638,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 56:[32, 15], Operations: ['90-64=26', '26-11=15']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,56 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 56:[26, 21], Operations: ['90-64=26', '32-11=21']
Exploring Operation: 26*21=546, Resulting Numbers: [546]
546,56 unequal: No Solution
Exploring Operation: 26-21=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 26+21=47, Resulting Numbers: [47]
47,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 56:[11, 64, 58], Operations: ['90-32=58']
Exploring Operation: 64-58=6, Resulting Numbers: [11, 6]
Generated Node #0,2,0: 56:[11, 6] Operation: 64-58=6
Exploring Operation: 58-11=47, Resulting Numbers: [64, 47]
Generated Node #0,2,1: 56:[64, 47] Operation: 58-11=47
Exploring Operation: 11+64=75, Resulting Numbers: [58, 75]
Generated Node #0,2,2: 56:[58, 75] Operation: 11+64=75
Exploring Operation: 64-11=53, Resulting Numbers: [58, 53]
Generated Node #0,2,3: 56:[58, 53] Operation: 64-11=53
Moving to Node #0,0
Current State: 56:[32, 64, 79], Operations: ['90-11=79']
Exploring Operation: 79-32=47, Resulting Numbers: [64, 47]
Generated Node #0,0,0: 56:[64, 47] Operation: 79-32=47
Exploring Operation: 64-32=32, Resulting Numbers: [79, 32]
Generated Node #0,0,1: 56:[79, 32] Operation: 64-32=32
Exploring Operation: 79-64=15, Resulting Numbers: [32, 15]
Generated Node #0,0,2: 56:[32, 15] Operation: 79-64=15
Exploring Operation: 64/32=2, Resulting Numbers: [79, 2]
Generated Node #0,0,3: 56:[79, 2] Operation: 64/32=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[32, 15], Operations: ['90-11=79', '79-64=15']
Exploring Operation: 32*15=480, Resulting Numbers: [480]
480,56 unequal: No Solution
Exploring Operation: 32+15=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[64, 47], Operations: ['90-11=79', '79-32=47']
Exploring Operation: 64+47=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 64*47=3008, Resulting Numbers: [3008]
3008,56 unequal: No Solution
Exploring Operation: 64-47=17, Resulting Numbers: [17]
17,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[79, 2], Operations: ['90-11=79', '64/32=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,56 unequal: No Solution
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,56 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[79, 32], Operations: ['90-11=79', '64-32=32']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,56 unequal: No Solution
Exploring Operation: 79+32=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 79*32=2528, Resulting Numbers: [2528]
2528,56 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: 56:[11, 90, 2], Operations: ['64/32=2']
Exploring Operation: 90-11=79, Resulting Numbers: [2, 79]
Generated Node #0,1,0: 56:[2, 79] Operation: 90-11=79
Exploring Operation: 90/2=45, Resulting Numbers: [11, 45]
Generated Node #0,1,1: 56:[11, 45] Operation: 90/2=45
Exploring Operation: 11+2=13, Resulting Numbers: [90, 13]
Generated Node #0,1,2: 56:[90, 13] Operation: 11+2=13
Exploring Operation: 11-2=9, Resulting Numbers: [90, 9]
Generated Node #0,1,3: 56:[90, 9] Operation: 11-2=9
Moving to Node #0,2,0
Current State: 56:[11, 6], Operations: ['90-32=58', '64-58=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[58, 53], Operations: ['90-32=58', '64-11=53']
Exploring Operation: 58+53=111, Resulting Numbers: [111]
111,56 unequal: No Solution
Exploring Operation: 58-53=5, Resulting Numbers: [5]
5,56 unequal: No Solution
Exploring Operation: 58*53=3074, Resulting Numbers: [3074]
3074,56 unequal: No Solution
Moving to Node #0,1,1
Current State: 56:[11, 45], Operations: ['64/32=2', '90/2=45']
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,56 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,56 unequal: No Solution
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[11, 32, 64, 90], Operations: []
Exploring Operation: 64/32=2, Resulting Numbers: [11, 90, 2]
Generated Node #0,1: 56:[11, 90, 2] Operation: 64/32=2
Moving to Node #0,1
Current State: 56:[11, 90, 2], Operations: ['64/32=2']
Exploring Operation: 90/2=45, Resulting Numbers: [11, 45]
Generated Node #0,1,1: 56:[11, 45] Operation: 90/2=45
Moving to Node #0,1,1
Current State: 56:[11, 45], Operations: ['64/32=2', '90/2=45']
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.950521 | hs_4 | mult_heuristic |
[
80,
29,
49,
66
] | 68 | [
"80-29=51",
"66-49=17",
"51+17=68"
] | Current State: 68:[80, 29, 49, 66], Operations: []
Exploring Operation: 80-29=51, Resulting Numbers: [49, 66, 51]
Generated Node #2: [49, 66, 51] from Operation: 80-29=51
Current State: 68:[49, 66, 51], Operations: ['80-29=51']
Exploring Operation: 66-49=17, Resulting Numbers: [51, 17]
Generated Node #3: [51, 17] from Operation: 66-49=17
Current State: 68:[51, 17], Operations: ['80-29=51', '66-49=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[80, 29, 49, 66], Operations: []
Exploring Operation: 80-49=31, Resulting Numbers: [29, 66, 31]
Generated Node #0,0: 68:[29, 66, 31] Operation: 80-49=31
Exploring Operation: 49-29=20, Resulting Numbers: [80, 66, 20]
Generated Node #0,1: 68:[80, 66, 20] Operation: 49-29=20
Moving to Node #0,0
Current State: 68:[29, 66, 31], Operations: ['80-49=31']
Exploring Operation: 66-29=37, Resulting Numbers: [31, 37]
Generated Node #0,0,0: 68:[31, 37] Operation: 66-29=37
Exploring Operation: 31-29=2, Resulting Numbers: [66, 2]
Generated Node #0,0,1: 68:[66, 2] Operation: 31-29=2
Moving to Node #0,1
Current State: 68:[80, 66, 20], Operations: ['49-29=20']
Exploring Operation: 80-66=14, Resulting Numbers: [20, 14]
Generated Node #0,1,0: 68:[20, 14] Operation: 80-66=14
Exploring Operation: 80/20=4, Resulting Numbers: [66, 4]
Generated Node #0,1,1: 68:[66, 4] Operation: 80/20=4
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 68:[66, 4], Operations: ['49-29=20', '80/20=4']
Exploring Operation: 66+4=70, Resulting Numbers: [70]
70,68 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 68:[20, 14], Operations: ['49-29=20', '80-66=14']
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,68 unequal: No Solution
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,68 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 68:[66, 2], Operations: ['80-49=31', '31-29=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[80, 29, 49, 66], Operations: []
Exploring Operation: 80-49=31, Resulting Numbers: [29, 66, 31]
Generated Node #0,0: 68:[29, 66, 31] Operation: 80-49=31
Moving to Node #0,0
Current State: 68:[29, 66, 31], Operations: ['80-49=31']
Exploring Operation: 31-29=2, Resulting Numbers: [66, 2]
Generated Node #0,0,1: 68:[66, 2] Operation: 31-29=2
Moving to Node #0,0,1
Current State: 68:[66, 2], Operations: ['80-49=31', '31-29=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
15,
27,
18,
39
] | 49 | [
"15*18=270",
"270/27=10",
"39+10=49"
] | Current State: 49:[15, 27, 18, 39], Operations: []
Exploring Operation: 15*18=270, Resulting Numbers: [27, 39, 270]
Generated Node #2: [27, 39, 270] from Operation: 15*18=270
Current State: 49:[27, 39, 270], Operations: ['15*18=270']
Exploring Operation: 270/27=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 270/27=10
Current State: 49:[39, 10], Operations: ['15*18=270', '270/27=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[15, 27, 18, 39], Operations: []
Exploring Operation: 27-18=9, Resulting Numbers: [15, 39, 9]
Generated Node #0,0: 49:[15, 39, 9] Operation: 27-18=9
Exploring Operation: 39-27=12, Resulting Numbers: [15, 18, 12]
Generated Node #0,1: 49:[15, 18, 12] Operation: 39-27=12
Exploring Operation: 15+27=42, Resulting Numbers: [18, 39, 42]
Generated Node #0,2: 49:[18, 39, 42] Operation: 15+27=42
Exploring Operation: 27+18=45, Resulting Numbers: [15, 39, 45]
Generated Node #0,3: 49:[15, 39, 45] Operation: 27+18=45
Exploring Operation: 27-15=12, Resulting Numbers: [18, 39, 12]
Generated Node #0,4: 49:[18, 39, 12] Operation: 27-15=12
Moving to Node #0,0
Current State: 49:[15, 39, 9], Operations: ['27-18=9']
Exploring Operation: 15-9=6, Resulting Numbers: [39, 6]
Generated Node #0,0,0: 49:[39, 6] Operation: 15-9=6
Exploring Operation: 15+9=24, Resulting Numbers: [39, 24]
Generated Node #0,0,1: 49:[39, 24] Operation: 15+9=24
Exploring Operation: 39+9=48, Resulting Numbers: [15, 48]
Generated Node #0,0,2: 49:[15, 48] Operation: 39+9=48
Exploring Operation: 15+39=54, Resulting Numbers: [9, 54]
Generated Node #0,0,3: 49:[9, 54] Operation: 15+39=54
Exploring Operation: 39-15=24, Resulting Numbers: [9, 24]
Generated Node #0,0,4: 49:[9, 24] Operation: 39-15=24
Moving to Node #0,3
Current State: 49:[15, 39, 45], Operations: ['27+18=45']
Exploring Operation: 39-15=24, Resulting Numbers: [45, 24]
Generated Node #0,3,0: 49:[45, 24] Operation: 39-15=24
Exploring Operation: 45-39=6, Resulting Numbers: [15, 6]
Generated Node #0,3,1: 49:[15, 6] Operation: 45-39=6
Exploring Operation: 15+39=54, Resulting Numbers: [45, 54]
Generated Node #0,3,2: 49:[45, 54] Operation: 15+39=54
Exploring Operation: 15+45=60, Resulting Numbers: [39, 60]
Generated Node #0,3,3: 49:[39, 60] Operation: 15+45=60
Exploring Operation: 45/15=3, Resulting Numbers: [39, 3]
Generated Node #0,3,4: 49:[39, 3] Operation: 45/15=3
Moving to Node #0,1
Current State: 49:[15, 18, 12], Operations: ['39-27=12']
Exploring Operation: 18-12=6, Resulting Numbers: [15, 6]
Generated Node #0,1,0: 49:[15, 6] Operation: 18-12=6
Exploring Operation: 15-12=3, Resulting Numbers: [18, 3]
Generated Node #0,1,1: 49:[18, 3] Operation: 15-12=3
Exploring Operation: 15+18=33, Resulting Numbers: [12, 33]
Generated Node #0,1,2: 49:[12, 33] Operation: 15+18=33
Exploring Operation: 18-15=3, Resulting Numbers: [12, 3]
Generated Node #0,1,3: 49:[12, 3] Operation: 18-15=3
Exploring Operation: 18+12=30, Resulting Numbers: [15, 30]
Generated Node #0,1,4: 49:[15, 30] Operation: 18+12=30
Moving to Node #0,4
Current State: 49:[18, 39, 12], Operations: ['27-15=12']
Exploring Operation: 18+39=57, Resulting Numbers: [12, 57]
Generated Node #0,4,0: 49:[12, 57] Operation: 18+39=57
Exploring Operation: 18-12=6, Resulting Numbers: [39, 6]
Generated Node #0,4,1: 49:[39, 6] Operation: 18-12=6
Exploring Operation: 39+12=51, Resulting Numbers: [18, 51]
Generated Node #0,4,2: 49:[18, 51] Operation: 39+12=51
Exploring Operation: 18+12=30, Resulting Numbers: [39, 30]
Generated Node #0,4,3: 49:[39, 30] Operation: 18+12=30
Exploring Operation: 39-18=21, Resulting Numbers: [12, 21]
Generated Node #0,4,4: 49:[12, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 49:[39, 6], Operations: ['27-15=12', '18-12=6']
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,49 unequal: No Solution
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,49 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 #0,4,0
Current State: 49:[12, 57], Operations: ['27-15=12', '18+39=57']
Exploring Operation: 12+57=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 12*57=684, Resulting Numbers: [684]
684,49 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 #0,4,2
Current State: 49:[18, 51], Operations: ['27-15=12', '39+12=51']
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,49 unequal: No Solution
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,49 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 #0,4,4
Current State: 49:[12, 21], Operations: ['27-15=12', '39-18=21']
Exploring Operation: 12*21=252, Resulting Numbers: [252]
252,49 unequal: No Solution
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,49 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 #0,4,3
Current State: 49:[39, 30], Operations: ['27-15=12', '18+12=30']
Exploring Operation: 39*30=1170, Resulting Numbers: [1170]
1170,49 unequal: No Solution
Exploring Operation: 39+30=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 39-30=9, Resulting Numbers: [9]
9,49 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: 49:[18, 39, 42], Operations: ['15+27=42']
Exploring Operation: 39-18=21, Resulting Numbers: [42, 21]
Generated Node #0,2,0: 49:[42, 21] Operation: 39-18=21
Exploring Operation: 18+42=60, Resulting Numbers: [39, 60]
Generated Node #0,2,1: 49:[39, 60] Operation: 18+42=60
Exploring Operation: 42-18=24, Resulting Numbers: [39, 24]
Generated Node #0,2,2: 49:[39, 24] Operation: 42-18=24
Exploring Operation: 18+39=57, Resulting Numbers: [42, 57]
Generated Node #0,2,3: 49:[42, 57] Operation: 18+39=57
Exploring Operation: 42-39=3, Resulting Numbers: [18, 3]
Generated Node #0,2,4: 49:[18, 3] Operation: 42-39=3
Moving to Node #0,0,3
Current State: 49:[9, 54], Operations: ['27-18=9', '15+39=54']
Exploring Operation: 9*54=486, Resulting Numbers: [486]
486,49 unequal: No Solution
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[15, 6], Operations: ['27+18=45', '45-39=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,49 unequal: No Solution
Moving to Node #0,3,2
Current State: 49:[45, 54], Operations: ['27+18=45', '15+39=54']
Exploring Operation: 54-45=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 45+54=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Exploring Operation: 45*54=2430, Resulting Numbers: [2430]
2430,49 unequal: No Solution
Moving to Node #0,1,3
Current State: 49:[12, 3], Operations: ['39-27=12', '18-15=3']
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Moving to Node #0,0,2
Current State: 49:[15, 48], Operations: ['27-18=9', '39+9=48']
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 15*48=720, Resulting Numbers: [720]
720,49 unequal: No Solution
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Moving to Node #0,1,0
Current State: 49:[15, 6], Operations: ['39-27=12', '18-12=6']
Exploring Operation: 15+6=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 15-6=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 15*6=90, Resulting Numbers: [90]
90,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[39, 6], Operations: ['27-18=9', '15-9=6']
Exploring Operation: 39+6=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 39*6=234, Resulting Numbers: [234]
234,49 unequal: No Solution
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Moving to Node #0,3,4
Current State: 49:[39, 3], Operations: ['27+18=45', '45/15=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,49 unequal: No Solution
Exploring Operation: 39+3=42, Resulting Numbers: [42]
42,49 unequal: No Solution
Exploring Operation: 39*3=117, Resulting Numbers: [117]
117,49 unequal: No Solution
Exploring Operation: 39-3=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[18, 3], Operations: ['39-27=12', '15-12=3']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,2,4
Current State: 49:[18, 3], Operations: ['15+27=42', '42-39=3']
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 18*3=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 18+3=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,3
Current State: 49:[42, 57], Operations: ['15+27=42', '18+39=57']
Exploring Operation: 57-42=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 42+57=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Exploring Operation: 42*57=2394, Resulting Numbers: [2394]
2394,49 unequal: No Solution
Moving to Node #0,0,4
Current State: 49:[9, 24], Operations: ['27-18=9', '39-15=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,49 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,49 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,1,2
Current State: 49:[12, 33], Operations: ['39-27=12', '15+18=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 12*33=396, Resulting Numbers: [396]
396,49 unequal: No Solution
Exploring Operation: 12+33=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[42, 21], Operations: ['15+27=42', '39-18=21']
Exploring Operation: 42*21=882, Resulting Numbers: [882]
882,49 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[39, 60], Operations: ['15+27=42', '18+42=60']
Exploring Operation: 39*60=2340, Resulting Numbers: [2340]
2340,49 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[39, 60], Operations: ['27+18=45', '15+45=60']
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Exploring Operation: 39*60=2340, Resulting Numbers: [2340]
2340,49 unequal: No Solution
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[45, 24], Operations: ['27+18=45', '39-15=24']
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,49 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,49 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[39, 24], Operations: ['15+27=42', '42-18=24']
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,49 unequal: No Solution
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,1,4
Current State: 49:[15, 30], Operations: ['39-27=12', '18+12=30']
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,49 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,49 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[39, 24], Operations: ['27-18=9', '15+9=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,49 unequal: No Solution
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,49 unequal: No Solution
Exploring Operation: 39*24=936, Resulting Numbers: [936]
936,49 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
51,
29,
17,
35
] | 74 | [
"51-29=22",
"17+35=52",
"22+52=74"
] | Current State: 74:[51, 29, 17, 35], Operations: []
Exploring Operation: 51-29=22, Resulting Numbers: [17, 35, 22]
Generated Node #2: [17, 35, 22] from Operation: 51-29=22
Current State: 74:[17, 35, 22], Operations: ['51-29=22']
Exploring Operation: 17+35=52, Resulting Numbers: [22, 52]
Generated Node #3: [22, 52] from Operation: 17+35=52
Current State: 74:[22, 52], Operations: ['51-29=22', '17+35=52']
Exploring Operation: 22+52=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[51, 29, 17, 35], Operations: []
Exploring Operation: 51-17=34, Resulting Numbers: [29, 35, 34]
Generated Node #0,0: 74:[29, 35, 34] Operation: 51-17=34
Exploring Operation: 51+17=68, Resulting Numbers: [29, 35, 68]
Generated Node #0,1: 74:[29, 35, 68] Operation: 51+17=68
Exploring Operation: 51/17=3, Resulting Numbers: [29, 35, 3]
Generated Node #0,2: 74:[29, 35, 3] Operation: 51/17=3
Moving to Node #0,2
Current State: 74:[29, 35, 3], Operations: ['51/17=3']
Exploring Operation: 29+3=32, Resulting Numbers: [35, 32]
Generated Node #0,2,0: 74:[35, 32] Operation: 29+3=32
Exploring Operation: 35+3=38, Resulting Numbers: [29, 38]
Generated Node #0,2,1: 74:[29, 38] Operation: 35+3=38
Exploring Operation: 35-29=6, Resulting Numbers: [3, 6]
Generated Node #0,2,2: 74:[3, 6] Operation: 35-29=6
Moving to Node #0,0
Current State: 74:[29, 35, 34], Operations: ['51-17=34']
Exploring Operation: 35-34=1, Resulting Numbers: [29, 1]
Generated Node #0,0,0: 74:[29, 1] Operation: 35-34=1
Exploring Operation: 35-29=6, Resulting Numbers: [34, 6]
Generated Node #0,0,1: 74:[34, 6] Operation: 35-29=6
Exploring Operation: 34-29=5, Resulting Numbers: [35, 5]
Generated Node #0,0,2: 74:[35, 5] Operation: 34-29=5
Moving to Node #0,1
Current State: 74:[29, 35, 68], Operations: ['51+17=68']
Exploring Operation: 35-29=6, Resulting Numbers: [68, 6]
Generated Node #0,1,0: 74:[68, 6] Operation: 35-29=6
Exploring Operation: 68-35=33, Resulting Numbers: [29, 33]
Generated Node #0,1,1: 74:[29, 33] Operation: 68-35=33
Exploring Operation: 68-29=39, Resulting Numbers: [35, 39]
Generated Node #0,1,2: 74:[35, 39] Operation: 68-29=39
Moving to Node #0,1,2
Current State: 74:[35, 39], Operations: ['51+17=68', '68-29=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[51, 29, 17, 35], Operations: []
Exploring Operation: 51+17=68, Resulting Numbers: [29, 35, 68]
Generated Node #0,1: 74:[29, 35, 68] Operation: 51+17=68
Moving to Node #0,1
Current State: 74:[29, 35, 68], Operations: ['51+17=68']
Exploring Operation: 68-29=39, Resulting Numbers: [35, 39]
Generated Node #0,1,2: 74:[35, 39] Operation: 68-29=39
Moving to Node #0,1,2
Current State: 74:[35, 39], Operations: ['51+17=68', '68-29=39']
Exploring Operation: 35+39=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.985243 | hs_3 | mult_heuristic |
[
36,
67,
25,
75
] | 34 | [
"67-36=31",
"75/25=3",
"31+3=34"
] | Current State: 34:[36, 67, 25, 75], Operations: []
Exploring Operation: 67-36=31, Resulting Numbers: [25, 75, 31]
Generated Node #2: [25, 75, 31] from Operation: 67-36=31
Current State: 34:[25, 75, 31], Operations: ['67-36=31']
Exploring Operation: 75/25=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 75/25=3
Current State: 34:[31, 3], Operations: ['67-36=31', '75/25=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[36, 67, 25, 75], Operations: []
Exploring Operation: 75-67=8, Resulting Numbers: [36, 25, 8]
Generated Node #0,0: 34:[36, 25, 8] Operation: 75-67=8
Moving to Node #0,0
Current State: 34:[36, 25, 8], Operations: ['75-67=8']
Exploring Operation: 25-8=17, Resulting Numbers: [36, 17]
Generated Node #0,0,0: 34:[36, 17] Operation: 25-8=17
Moving to Node #0,0,0
Current State: 34:[36, 17], Operations: ['75-67=8', '25-8=17']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,34 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
5,
26,
83,
76
] | 38 | [
"5+26=31",
"83-76=7",
"31+7=38"
] | Current State: 38:[5, 26, 83, 76], Operations: []
Exploring Operation: 5+26=31, Resulting Numbers: [83, 76, 31]
Generated Node #2: [83, 76, 31] from Operation: 5+26=31
Current State: 38:[83, 76, 31], Operations: ['5+26=31']
Exploring Operation: 83-76=7, Resulting Numbers: [31, 7]
Generated Node #3: [31, 7] from Operation: 83-76=7
Current State: 38:[31, 7], Operations: ['5+26=31', '83-76=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[5, 26, 83, 76], Operations: []
Exploring Operation: 26-5=21, Resulting Numbers: [83, 76, 21]
Generated Node #0,0: 38:[83, 76, 21] Operation: 26-5=21
Exploring Operation: 76-26=50, Resulting Numbers: [5, 83, 50]
Generated Node #0,1: 38:[5, 83, 50] Operation: 76-26=50
Exploring Operation: 83-76=7, Resulting Numbers: [5, 26, 7]
Generated Node #0,2: 38:[5, 26, 7] Operation: 83-76=7
Exploring Operation: 83-26=57, Resulting Numbers: [5, 76, 57]
Generated Node #0,3: 38:[5, 76, 57] Operation: 83-26=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 38:[5, 26, 7], Operations: ['83-76=7']
Exploring Operation: 26+7=33, Resulting Numbers: [5, 33]
Generated Node #0,2,0: 38:[5, 33] Operation: 26+7=33
Exploring Operation: 26-7=19, Resulting Numbers: [5, 19]
Generated Node #0,2,1: 38:[5, 19] Operation: 26-7=19
Exploring Operation: 26-5=21, Resulting Numbers: [7, 21]
Generated Node #0,2,2: 38:[7, 21] Operation: 26-5=21
Exploring Operation: 7-5=2, Resulting Numbers: [26, 2]
Generated Node #0,2,3: 38:[26, 2] Operation: 7-5=2
Moving to Node #0,2,1
Current State: 38:[5, 19], Operations: ['83-76=7', '26-7=19']
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,38 unequal: No Solution
Exploring Operation: 5+19=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,2,3
Current State: 38:[26, 2], Operations: ['83-76=7', '7-5=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,38 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,38 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[7, 21], Operations: ['83-76=7', '26-5=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Exploring Operation: 7*21=147, Resulting Numbers: [147]
147,38 unequal: No Solution
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[5, 33], Operations: ['83-76=7', '26+7=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,38 unequal: No Solution
Exploring Operation: 5*33=165, Resulting Numbers: [165]
165,38 unequal: No Solution
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[5, 26, 83, 76], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [5, 26, 7]
Generated Node #0,2: 38:[5, 26, 7] Operation: 83-76=7
Moving to Node #0,2
Current State: 38:[5, 26, 7], Operations: ['83-76=7']
Exploring Operation: 26+7=33, Resulting Numbers: [5, 33]
Generated Node #0,2,0: 38:[5, 33] Operation: 26+7=33
Moving to Node #0,2,0
Current State: 38:[5, 33], Operations: ['83-76=7', '26+7=33']
Exploring Operation: 5+33=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_4 | mult_heuristic |
[
83,
48,
61,
87
] | 52 | [
"87-83=4",
"61-48=13",
"4*13=52"
] | Current State: 52:[83, 48, 61, 87], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [48, 61, 4]
Generated Node #2: [48, 61, 4] from Operation: 87-83=4
Current State: 52:[48, 61, 4], Operations: ['87-83=4']
Exploring Operation: 61-48=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 61-48=13
Current State: 52:[4, 13], Operations: ['87-83=4', '61-48=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[83, 48, 61, 87], Operations: []
Exploring Operation: 83-48=35, Resulting Numbers: [61, 87, 35]
Generated Node #0,0: 52:[61, 87, 35] Operation: 83-48=35
Exploring Operation: 87-61=26, Resulting Numbers: [83, 48, 26]
Generated Node #0,1: 52:[83, 48, 26] Operation: 87-61=26
Exploring Operation: 83-61=22, Resulting Numbers: [48, 87, 22]
Generated Node #0,2: 52:[48, 87, 22] Operation: 83-61=22
Exploring Operation: 87-83=4, Resulting Numbers: [48, 61, 4]
Generated Node #0,3: 52:[48, 61, 4] Operation: 87-83=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[48, 61, 4], Operations: ['87-83=4']
Exploring Operation: 48+4=52, Resulting Numbers: [61, 52]
Generated Node #0,3,0: 52:[61, 52] Operation: 48+4=52
Exploring Operation: 61-4=57, Resulting Numbers: [48, 57]
Generated Node #0,3,1: 52:[48, 57] Operation: 61-4=57
Exploring Operation: 61-48=13, Resulting Numbers: [4, 13]
Generated Node #0,3,2: 52:[4, 13] Operation: 61-48=13
Exploring Operation: 48/4=12, Resulting Numbers: [61, 12]
Generated Node #0,3,3: 52:[61, 12] Operation: 48/4=12
Moving to Node #0,3,2
Current State: 52:[4, 13], Operations: ['87-83=4', '61-48=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[83, 48, 61, 87], Operations: []
Exploring Operation: 87-83=4, Resulting Numbers: [48, 61, 4]
Generated Node #0,3: 52:[48, 61, 4] Operation: 87-83=4
Moving to Node #0,3
Current State: 52:[48, 61, 4], Operations: ['87-83=4']
Exploring Operation: 61-48=13, Resulting Numbers: [4, 13]
Generated Node #0,3,2: 52:[4, 13] Operation: 61-48=13
Moving to Node #0,3,2
Current State: 52:[4, 13], Operations: ['87-83=4', '61-48=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
88,
89,
96,
2
] | 98 | [
"89-88=1",
"96+2=98",
"1*98=98"
] | Current State: 98:[88, 89, 96, 2], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [96, 2, 1]
Generated Node #2: [96, 2, 1] from Operation: 89-88=1
Current State: 98:[96, 2, 1], Operations: ['89-88=1']
Exploring Operation: 96+2=98, Resulting Numbers: [1, 98]
Generated Node #3: [1, 98] from Operation: 96+2=98
Current State: 98:[1, 98], Operations: ['89-88=1', '96+2=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[88, 89, 96, 2], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [96, 2, 1]
Generated Node #0,0: 98:[96, 2, 1] Operation: 89-88=1
Exploring Operation: 96-89=7, Resulting Numbers: [88, 2, 7]
Generated Node #0,1: 98:[88, 2, 7] Operation: 96-89=7
Exploring Operation: 96-88=8, Resulting Numbers: [89, 2, 8]
Generated Node #0,2: 98:[89, 2, 8] Operation: 96-88=8
Exploring Operation: 88/2=44, Resulting Numbers: [89, 96, 44]
Generated Node #0,3: 98:[89, 96, 44] Operation: 88/2=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 98:[96, 2, 1], Operations: ['89-88=1']
Exploring Operation: 96*1=96, Resulting Numbers: [2, 96]
Generated Node #0,0,0: 98:[2, 96] Operation: 96*1=96
Exploring Operation: 96+1=97, Resulting Numbers: [2, 97]
Generated Node #0,0,1: 98:[2, 97] Operation: 96+1=97
Exploring Operation: 96/2=48, Resulting Numbers: [1, 48]
Generated Node #0,0,2: 98:[1, 48] Operation: 96/2=48
Exploring Operation: 96+2=98, Resulting Numbers: [1, 98]
Generated Node #0,0,3: 98:[1, 98] Operation: 96+2=98
Moving to Node #0,0,1
Current State: 98:[2, 97], Operations: ['89-88=1', '96+1=97']
Exploring Operation: 2*97=194, Resulting Numbers: [194]
194,98 unequal: No Solution
Exploring Operation: 97-2=95, Resulting Numbers: [95]
95,98 unequal: No Solution
Exploring Operation: 2+97=99, Resulting Numbers: [99]
99,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[1, 98], Operations: ['89-88=1', '96+2=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[88, 89, 96, 2], Operations: []
Exploring Operation: 89-88=1, Resulting Numbers: [96, 2, 1]
Generated Node #0,0: 98:[96, 2, 1] Operation: 89-88=1
Moving to Node #0,0
Current State: 98:[96, 2, 1], Operations: ['89-88=1']
Exploring Operation: 96+2=98, Resulting Numbers: [1, 98]
Generated Node #0,0,3: 98:[1, 98] Operation: 96+2=98
Moving to Node #0,0,3
Current State: 98:[1, 98], Operations: ['89-88=1', '96+2=98']
Exploring Operation: 1*98=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_4 | mult_heuristic |
[
26,
32,
12,
84
] | 12 | [
"32-26=6",
"84-12=72",
"72/6=12"
] | Current State: 12:[26, 32, 12, 84], Operations: []
Exploring Operation: 32-26=6, Resulting Numbers: [12, 84, 6]
Generated Node #2: [12, 84, 6] from Operation: 32-26=6
Current State: 12:[12, 84, 6], Operations: ['32-26=6']
Exploring Operation: 84-12=72, Resulting Numbers: [6, 72]
Generated Node #3: [6, 72] from Operation: 84-12=72
Current State: 12:[6, 72], Operations: ['32-26=6', '84-12=72']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[26, 32, 12, 84], Operations: []
Exploring Operation: 84/12=7, Resulting Numbers: [26, 32, 7]
Generated Node #0,0: 12:[26, 32, 7] Operation: 84/12=7
Exploring Operation: 84-32=52, Resulting Numbers: [26, 12, 52]
Generated Node #0,1: 12:[26, 12, 52] Operation: 84-32=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[26, 32, 7], Operations: ['84/12=7']
Exploring Operation: 32-26=6, Resulting Numbers: [7, 6]
Generated Node #0,0,0: 12:[7, 6] Operation: 32-26=6
Exploring Operation: 26-7=19, Resulting Numbers: [32, 19]
Generated Node #0,0,1: 12:[32, 19] Operation: 26-7=19
Moving to Node #0,0,0
Current State: 12:[7, 6], Operations: ['84/12=7', '32-26=6']
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[32, 19], Operations: ['84/12=7', '26-7=19']
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,12 unequal: No Solution
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[26, 12, 52], Operations: ['84-32=52']
Exploring Operation: 52/26=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 12:[12, 2] Operation: 52/26=2
Exploring Operation: 52-26=26, Resulting Numbers: [12, 26]
Generated Node #0,1,1: 12:[12, 26] Operation: 52-26=26
Moving to Node #0,1,0
Current State: 12:[12, 2], Operations: ['84-32=52', '52/26=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,12 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[12, 26], Operations: ['84-32=52', '52-26=26']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,12 unequal: No Solution
Exploring Operation: 12+26=38, Resulting Numbers: [38]
38,12 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 |
[
3,
5,
19,
6
] | 34 | [
"6-3=3",
"5*3=15",
"19+15=34"
] | Current State: 34:[3, 5, 19, 6], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [5, 19, 3]
Generated Node #2: [5, 19, 3] from Operation: 6-3=3
Current State: 34:[5, 19, 3], Operations: ['6-3=3']
Exploring Operation: 5*3=15, Resulting Numbers: [19, 15]
Generated Node #3: [19, 15] from Operation: 5*3=15
Current State: 34:[19, 15], Operations: ['6-3=3', '5*3=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[3, 5, 19, 6], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [5, 19, 2]
Generated Node #0,0: 34:[5, 19, 2] Operation: 6/3=2
Exploring Operation: 6-5=1, Resulting Numbers: [3, 19, 1]
Generated Node #0,1: 34:[3, 19, 1] Operation: 6-5=1
Exploring Operation: 5-3=2, Resulting Numbers: [19, 6, 2]
Generated Node #0,2: 34:[19, 6, 2] Operation: 5-3=2
Exploring Operation: 3*6=18, Resulting Numbers: [5, 19, 18]
Generated Node #0,3: 34:[5, 19, 18] Operation: 3*6=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[3, 19, 1], Operations: ['6-5=1']
Exploring Operation: 19-1=18, Resulting Numbers: [3, 18]
Generated Node #0,1,0: 34:[3, 18] Operation: 19-1=18
Exploring Operation: 3*1=3, Resulting Numbers: [19, 3]
Generated Node #0,1,1: 34:[19, 3] Operation: 3*1=3
Exploring Operation: 19-3=16, Resulting Numbers: [1, 16]
Generated Node #0,1,2: 34:[1, 16] Operation: 19-3=16
Exploring Operation: 3-1=2, Resulting Numbers: [19, 2]
Generated Node #0,1,3: 34:[19, 2] Operation: 3-1=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 34:[3, 18], Operations: ['6-5=1', '19-1=18']
Exploring Operation: 18/3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 18-3=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 3*18=54, Resulting Numbers: [54]
54,34 unequal: No Solution
Exploring Operation: 3+18=21, Resulting Numbers: [21]
21,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 34:[1, 16], Operations: ['6-5=1', '19-3=16']
Exploring Operation: 1+16=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 16/1=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 1*16=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 16-1=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 34:[19, 2], Operations: ['6-5=1', '3-1=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,34 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 34:[19, 3], Operations: ['6-5=1', '3*1=3']
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[5, 19, 2], Operations: ['6/3=2']
Exploring Operation: 5-2=3, Resulting Numbers: [19, 3]
Generated Node #0,0,0: 34:[19, 3] Operation: 5-2=3
Exploring Operation: 19-2=17, Resulting Numbers: [5, 17]
Generated Node #0,0,1: 34:[5, 17] Operation: 19-2=17
Exploring Operation: 5+19=24, Resulting Numbers: [2, 24]
Generated Node #0,0,2: 34:[2, 24] Operation: 5+19=24
Exploring Operation: 19-5=14, Resulting Numbers: [2, 14]
Generated Node #0,0,3: 34:[2, 14] Operation: 19-5=14
Moving to Node #0,0,0
Current State: 34:[19, 3], Operations: ['6/3=2', '5-2=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,34 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[2, 14], Operations: ['6/3=2', '19-5=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,34 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,34 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[5, 17], Operations: ['6/3=2', '19-2=17']
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[2, 24], Operations: ['6/3=2', '5+19=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,34 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 34:[19, 6, 2], Operations: ['5-3=2']
Exploring Operation: 6/2=3, Resulting Numbers: [19, 3]
Generated Node #0,2,0: 34:[19, 3] Operation: 6/2=3
Exploring Operation: 19-2=17, Resulting Numbers: [6, 17]
Generated Node #0,2,1: 34:[6, 17] Operation: 19-2=17
Exploring Operation: 19-6=13, Resulting Numbers: [2, 13]
Generated Node #0,2,2: 34:[2, 13] Operation: 19-6=13
Exploring Operation: 6-2=4, Resulting Numbers: [19, 4]
Generated Node #0,2,3: 34:[19, 4] Operation: 6-2=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 34:[19, 3], Operations: ['5-3=2', '6/2=3']
Exploring Operation: 19*3=57, Resulting Numbers: [57]
57,34 unequal: No Solution
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 19+3=22, Resulting Numbers: [22]
22,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 34:[6, 17], Operations: ['5-3=2', '19-2=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,34 unequal: No Solution
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,34 unequal: No Solution
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 34:[2, 13], Operations: ['5-3=2', '19-6=13']
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 2*13=26, Resulting Numbers: [26]
26,34 unequal: No Solution
Exploring Operation: 2+13=15, Resulting Numbers: [15]
15,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 34:[19, 4], Operations: ['5-3=2', '6-2=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,34 unequal: No Solution
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,34 unequal: No Solution
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,34 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 34:[5, 19, 18], Operations: ['3*6=18']
Exploring Operation: 19+18=37, Resulting Numbers: [5, 37]
Generated Node #0,3,0: 34:[5, 37] Operation: 19+18=37
Exploring Operation: 19-5=14, Resulting Numbers: [18, 14]
Generated Node #0,3,1: 34:[18, 14] Operation: 19-5=14
Exploring Operation: 18-5=13, Resulting Numbers: [19, 13]
Generated Node #0,3,2: 34:[19, 13] Operation: 18-5=13
Exploring Operation: 19-18=1, Resulting Numbers: [5, 1]
Generated Node #0,3,3: 34:[5, 1] Operation: 19-18=1
Moving to Node #0,3,1
Current State: 34:[18, 14], Operations: ['3*6=18', '19-5=14']
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,34 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[5, 1], Operations: ['3*6=18', '19-18=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[19, 13], Operations: ['3*6=18', '18-5=13']
Exploring Operation: 19+13=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 19-13=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 19*13=247, Resulting Numbers: [247]
247,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[5, 37], Operations: ['3*6=18', '19+18=37']
Exploring Operation: 5+37=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 37-5=32, Resulting Numbers: [32]
32,34 unequal: No Solution
Exploring Operation: 5*37=185, Resulting Numbers: [185]
185,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
78,
20,
22,
69
] | 74 | [
"78+22=100",
"100/20=5",
"69+5=74"
] | Current State: 74:[78, 20, 22, 69], Operations: []
Exploring Operation: 78+22=100, Resulting Numbers: [20, 69, 100]
Generated Node #2: [20, 69, 100] from Operation: 78+22=100
Current State: 74:[20, 69, 100], Operations: ['78+22=100']
Exploring Operation: 100/20=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 100/20=5
Current State: 74:[69, 5], Operations: ['78+22=100', '100/20=5']
Exploring Operation: 69+5=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[78, 20, 22, 69], Operations: []
Exploring Operation: 69-20=49, Resulting Numbers: [78, 22, 49]
Generated Node #0,0: 74:[78, 22, 49] Operation: 69-20=49
Exploring Operation: 22-20=2, Resulting Numbers: [78, 69, 2]
Generated Node #0,1: 74:[78, 69, 2] Operation: 22-20=2
Exploring Operation: 20+22=42, Resulting Numbers: [78, 69, 42]
Generated Node #0,2: 74:[78, 69, 42] Operation: 20+22=42
Moving to Node #0,1
Current State: 74:[78, 69, 2], Operations: ['22-20=2']
Exploring Operation: 78-2=76, Resulting Numbers: [69, 76]
Generated Node #0,1,0: 74:[69, 76] Operation: 78-2=76
Exploring Operation: 78-69=9, Resulting Numbers: [2, 9]
Generated Node #0,1,1: 74:[2, 9] Operation: 78-69=9
Exploring Operation: 78/2=39, Resulting Numbers: [69, 39]
Generated Node #0,1,2: 74:[69, 39] Operation: 78/2=39
Moving to Node #0,2
Current State: 74:[78, 69, 42], Operations: ['20+22=42']
Exploring Operation: 78-69=9, Resulting Numbers: [42, 9]
Generated Node #0,2,0: 74:[42, 9] Operation: 78-69=9
Exploring Operation: 69-42=27, Resulting Numbers: [78, 27]
Generated Node #0,2,1: 74:[78, 27] Operation: 69-42=27
Exploring Operation: 78-42=36, Resulting Numbers: [69, 36]
Generated Node #0,2,2: 74:[69, 36] Operation: 78-42=36
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 74:[69, 36], Operations: ['20+22=42', '78-42=36']
Exploring Operation: 69-36=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 69*36=2484, Resulting Numbers: [2484]
2484,74 unequal: No Solution
Exploring Operation: 69+36=105, Resulting Numbers: [105]
105,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 74:[42, 9], Operations: ['20+22=42', '78-69=9']
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Exploring Operation: 42*9=378, Resulting Numbers: [378]
378,74 unequal: No Solution
Exploring Operation: 42+9=51, Resulting Numbers: [51]
51,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 74:[78, 27], Operations: ['20+22=42', '69-42=27']
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,74 unequal: No Solution
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,74 unequal: No Solution
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,74 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: 74:[78, 22, 49], Operations: ['69-20=49']
Exploring Operation: 78-49=29, Resulting Numbers: [22, 29]
Generated Node #0,0,0: 74:[22, 29] Operation: 78-49=29
Exploring Operation: 22+49=71, Resulting Numbers: [78, 71]
Generated Node #0,0,1: 74:[78, 71] Operation: 22+49=71
Exploring Operation: 49-22=27, Resulting Numbers: [78, 27]
Generated Node #0,0,2: 74:[78, 27] Operation: 49-22=27
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 74:[78, 71], Operations: ['69-20=49', '22+49=71']
Exploring Operation: 78*71=5538, Resulting Numbers: [5538]
5538,74 unequal: No Solution
Exploring Operation: 78-71=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Exploring Operation: 78+71=149, Resulting Numbers: [149]
149,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 74:[78, 27], Operations: ['69-20=49', '49-22=27']
Exploring Operation: 78-27=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 78+27=105, Resulting Numbers: [105]
105,74 unequal: No Solution
Exploring Operation: 78*27=2106, Resulting Numbers: [2106]
2106,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 74:[22, 29], Operations: ['69-20=49', '78-49=29']
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,74 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,74 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 74:[69, 76], Operations: ['22-20=2', '78-2=76']
Exploring Operation: 69+76=145, Resulting Numbers: [145]
145,74 unequal: No Solution
Exploring Operation: 69*76=5244, Resulting Numbers: [5244]
5244,74 unequal: No Solution
Exploring Operation: 76-69=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[2, 9], Operations: ['22-20=2', '78-69=9']
Exploring Operation: 2+9=11, Resulting Numbers: [11]
11,74 unequal: No Solution
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,74 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[69, 39], Operations: ['22-20=2', '78/2=39']
Exploring Operation: 69*39=2691, Resulting Numbers: [2691]
2691,74 unequal: No Solution
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,74 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
36,
51,
2,
10
] | 35 | [
"51-36=15",
"2*10=20",
"15+20=35"
] | Current State: 35:[36, 51, 2, 10], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [2, 10, 15]
Generated Node #2: [2, 10, 15] from Operation: 51-36=15
Current State: 35:[2, 10, 15], Operations: ['51-36=15']
Exploring Operation: 2*10=20, Resulting Numbers: [15, 20]
Generated Node #3: [15, 20] from Operation: 2*10=20
Current State: 35:[15, 20], Operations: ['51-36=15', '2*10=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[36, 51, 2, 10], Operations: []
Exploring Operation: 51-36=15, Resulting Numbers: [2, 10, 15]
Generated Node #0,0: 35:[2, 10, 15] Operation: 51-36=15
Exploring Operation: 51-10=41, Resulting Numbers: [36, 2, 41]
Generated Node #0,1: 35:[36, 2, 41] Operation: 51-10=41
Exploring Operation: 10/2=5, Resulting Numbers: [36, 51, 5]
Generated Node #0,2: 35:[36, 51, 5] Operation: 10/2=5
Exploring Operation: 51-2=49, Resulting Numbers: [36, 10, 49]
Generated Node #0,3: 35:[36, 10, 49] Operation: 51-2=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[36, 2, 41], Operations: ['51-10=41']
Exploring Operation: 36-2=34, Resulting Numbers: [41, 34]
Generated Node #0,1,0: 35:[41, 34] Operation: 36-2=34
Exploring Operation: 41-2=39, Resulting Numbers: [36, 39]
Generated Node #0,1,1: 35:[36, 39] Operation: 41-2=39
Exploring Operation: 36+2=38, Resulting Numbers: [41, 38]
Generated Node #0,1,2: 35:[41, 38] Operation: 36+2=38
Exploring Operation: 41-36=5, Resulting Numbers: [2, 5]
Generated Node #0,1,3: 35:[2, 5] Operation: 41-36=5
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 35:[2, 5], Operations: ['51-10=41', '41-36=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[36, 39], Operations: ['51-10=41', '41-2=39']
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[41, 34], Operations: ['51-10=41', '36-2=34']
Exploring Operation: 41-34=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 41*34=1394, Resulting Numbers: [1394]
1394,35 unequal: No Solution
Exploring Operation: 41+34=75, Resulting Numbers: [75]
75,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 35:[41, 38], Operations: ['51-10=41', '36+2=38']
Exploring Operation: 41-38=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 41+38=79, Resulting Numbers: [79]
79,35 unequal: No Solution
Exploring Operation: 41*38=1558, Resulting Numbers: [1558]
1558,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[2, 10, 15], Operations: ['51-36=15']
Exploring Operation: 2*15=30, Resulting Numbers: [10, 30]
Generated Node #0,0,0: 35:[10, 30] Operation: 2*15=30
Exploring Operation: 10/2=5, Resulting Numbers: [15, 5]
Generated Node #0,0,1: 35:[15, 5] Operation: 10/2=5
Exploring Operation: 10-2=8, Resulting Numbers: [15, 8]
Generated Node #0,0,2: 35:[15, 8] Operation: 10-2=8
Exploring Operation: 15-10=5, Resulting Numbers: [2, 5]
Generated Node #0,0,3: 35:[2, 5] Operation: 15-10=5
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[2, 5], Operations: ['51-36=15', '15-10=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[10, 30], Operations: ['51-36=15', '2*15=30']
Exploring Operation: 10+30=40, Resulting Numbers: [40]
40,35 unequal: No Solution
Exploring Operation: 10*30=300, Resulting Numbers: [300]
300,35 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[15, 5], Operations: ['51-36=15', '10/2=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[15, 8], Operations: ['51-36=15', '10-2=8']
Exploring Operation: 15*8=120, Resulting Numbers: [120]
120,35 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 15+8=23, Resulting Numbers: [23]
23,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[36, 51, 5], Operations: ['10/2=5']
Exploring Operation: 51-36=15, Resulting Numbers: [5, 15]
Generated Node #0,2,0: 35:[5, 15] Operation: 51-36=15
Exploring Operation: 36-5=31, Resulting Numbers: [51, 31]
Generated Node #0,2,1: 35:[51, 31] Operation: 36-5=31
Exploring Operation: 36+5=41, Resulting Numbers: [51, 41]
Generated Node #0,2,2: 35:[51, 41] Operation: 36+5=41
Exploring Operation: 51-5=46, Resulting Numbers: [36, 46]
Generated Node #0,2,3: 35:[36, 46] Operation: 51-5=46
Moving to Node #0,2,0
Current State: 35:[5, 15], Operations: ['10/2=5', '51-36=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[36, 46], Operations: ['10/2=5', '51-5=46']
Exploring Operation: 36+46=82, Resulting Numbers: [82]
82,35 unequal: No Solution
Exploring Operation: 36*46=1656, Resulting Numbers: [1656]
1656,35 unequal: No Solution
Exploring Operation: 46-36=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[51, 31], Operations: ['10/2=5', '36-5=31']
Exploring Operation: 51-31=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Exploring Operation: 51*31=1581, Resulting Numbers: [1581]
1581,35 unequal: No Solution
Exploring Operation: 51+31=82, Resulting Numbers: [82]
82,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[51, 41], Operations: ['10/2=5', '36+5=41']
Exploring Operation: 51+41=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 51*41=2091, Resulting Numbers: [2091]
2091,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[36, 10, 49], Operations: ['51-2=49']
Exploring Operation: 36+10=46, Resulting Numbers: [49, 46]
Generated Node #0,3,0: 35:[49, 46] Operation: 36+10=46
Exploring Operation: 36-10=26, Resulting Numbers: [49, 26]
Generated Node #0,3,1: 35:[49, 26] Operation: 36-10=26
Exploring Operation: 49-36=13, Resulting Numbers: [10, 13]
Generated Node #0,3,2: 35:[10, 13] Operation: 49-36=13
Exploring Operation: 49-10=39, Resulting Numbers: [36, 39]
Generated Node #0,3,3: 35:[36, 39] Operation: 49-10=39
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[36, 39], Operations: ['51-2=49', '49-10=39']
Exploring Operation: 36*39=1404, Resulting Numbers: [1404]
1404,35 unequal: No Solution
Exploring Operation: 36+39=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 39-36=3, Resulting Numbers: [3]
3,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[10, 13], Operations: ['51-2=49', '49-36=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 10*13=130, Resulting Numbers: [130]
130,35 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[49, 26], Operations: ['51-2=49', '36-10=26']
Exploring Operation: 49*26=1274, Resulting Numbers: [1274]
1274,35 unequal: No Solution
Exploring Operation: 49+26=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 49-26=23, Resulting Numbers: [23]
23,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[49, 46], Operations: ['51-2=49', '36+10=46']
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,35 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
27,
8,
61,
17
] | 48 | [
"27+61=88",
"8*17=136",
"136-88=48"
] | Current State: 48:[27, 8, 61, 17], Operations: []
Exploring Operation: 27+61=88, Resulting Numbers: [8, 17, 88]
Generated Node #2: [8, 17, 88] from Operation: 27+61=88
Current State: 48:[8, 17, 88], Operations: ['27+61=88']
Exploring Operation: 8*17=136, Resulting Numbers: [88, 136]
Generated Node #3: [88, 136] from Operation: 8*17=136
Current State: 48:[88, 136], Operations: ['27+61=88', '8*17=136']
Exploring Operation: 136-88=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[27, 8, 61, 17], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [8, 17, 34]
Generated Node #0,0: 48:[8, 17, 34] Operation: 61-27=34
Exploring Operation: 61-17=44, Resulting Numbers: [27, 8, 44]
Generated Node #0,1: 48:[27, 8, 44] Operation: 61-17=44
Exploring Operation: 27-17=10, Resulting Numbers: [8, 61, 10]
Generated Node #0,2: 48:[8, 61, 10] Operation: 27-17=10
Exploring Operation: 61-8=53, Resulting Numbers: [27, 17, 53]
Generated Node #0,3: 48:[27, 17, 53] Operation: 61-8=53
Exploring Operation: 27-8=19, Resulting Numbers: [61, 17, 19]
Generated Node #0,4: 48:[61, 17, 19] Operation: 27-8=19
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[27, 8, 44], Operations: ['61-17=44']
Exploring Operation: 27+8=35, Resulting Numbers: [44, 35]
Generated Node #0,1,0: 48:[44, 35] Operation: 27+8=35
Exploring Operation: 27-8=19, Resulting Numbers: [44, 19]
Generated Node #0,1,1: 48:[44, 19] Operation: 27-8=19
Exploring Operation: 44-27=17, Resulting Numbers: [8, 17]
Generated Node #0,1,2: 48:[8, 17] Operation: 44-27=17
Exploring Operation: 44-8=36, Resulting Numbers: [27, 36]
Generated Node #0,1,3: 48:[27, 36] Operation: 44-8=36
Exploring Operation: 8+44=52, Resulting Numbers: [27, 52]
Generated Node #0,1,4: 48:[27, 52] Operation: 8+44=52
Moving to Node #0,1,2
Current State: 48:[8, 17], Operations: ['61-17=44', '44-27=17']
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,48 unequal: No Solution
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[27, 52], Operations: ['61-17=44', '8+44=52']
Exploring Operation: 27+52=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 27*52=1404, Resulting Numbers: [1404]
1404,48 unequal: No Solution
Exploring Operation: 52-27=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[44, 19], Operations: ['61-17=44', '27-8=19']
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,48 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[44, 35], Operations: ['61-17=44', '27+8=35']
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,48 unequal: No Solution
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[27, 36], Operations: ['61-17=44', '44-8=36']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[27, 17, 53], Operations: ['61-8=53']
Exploring Operation: 53-27=26, Resulting Numbers: [17, 26]
Generated Node #0,3,0: 48:[17, 26] Operation: 53-27=26
Exploring Operation: 27+17=44, Resulting Numbers: [53, 44]
Generated Node #0,3,1: 48:[53, 44] Operation: 27+17=44
Exploring Operation: 27-17=10, Resulting Numbers: [53, 10]
Generated Node #0,3,2: 48:[53, 10] Operation: 27-17=10
Exploring Operation: 17+53=70, Resulting Numbers: [27, 70]
Generated Node #0,3,3: 48:[27, 70] Operation: 17+53=70
Exploring Operation: 53-17=36, Resulting Numbers: [27, 36]
Generated Node #0,3,4: 48:[27, 36] Operation: 53-17=36
Moving to Node #0,3,0
Current State: 48:[17, 26], Operations: ['61-8=53', '53-27=26']
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,48 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[53, 10], Operations: ['61-8=53', '27-17=10']
Exploring Operation: 53*10=530, Resulting Numbers: [530]
530,48 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[53, 44], Operations: ['61-8=53', '27+17=44']
Exploring Operation: 53+44=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 53-44=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 53*44=2332, Resulting Numbers: [2332]
2332,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[27, 36], Operations: ['61-8=53', '53-17=36']
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 27*36=972, Resulting Numbers: [972]
972,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[27, 70], Operations: ['61-8=53', '17+53=70']
Exploring Operation: 70-27=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 27+70=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 27*70=1890, Resulting Numbers: [1890]
1890,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[8, 17, 34], Operations: ['61-27=34']
Exploring Operation: 34/17=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 48:[8, 2] Operation: 34/17=2
Exploring Operation: 17+34=51, Resulting Numbers: [8, 51]
Generated Node #0,0,1: 48:[8, 51] Operation: 17+34=51
Exploring Operation: 34-17=17, Resulting Numbers: [8, 17]
Generated Node #0,0,2: 48:[8, 17] Operation: 34-17=17
Exploring Operation: 34-8=26, Resulting Numbers: [17, 26]
Generated Node #0,0,3: 48:[17, 26] Operation: 34-8=26
Exploring Operation: 8+34=42, Resulting Numbers: [17, 42]
Generated Node #0,0,4: 48:[17, 42] Operation: 8+34=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[8, 2], Operations: ['61-27=34', '34/17=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,48 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,48 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,48 unequal: No Solution
No 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: 48:[8, 17], Operations: ['61-27=34', '34-17=17']
Exploring Operation: 17-8=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 8*17=136, Resulting Numbers: [136]
136,48 unequal: No Solution
Exploring Operation: 8+17=25, Resulting Numbers: [25]
25,48 unequal: No Solution
No 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: 48:[8, 51], Operations: ['61-27=34', '17+34=51']
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,48 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No 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: 48:[17, 26], Operations: ['61-27=34', '34-8=26']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 17*26=442, Resulting Numbers: [442]
442,48 unequal: No Solution
Exploring Operation: 17+26=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No 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: 48:[17, 42], Operations: ['61-27=34', '8+34=42']
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,48 unequal: No Solution
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,48 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: 48:[8, 61, 10], Operations: ['27-17=10']
Exploring Operation: 61-10=51, Resulting Numbers: [8, 51]
Generated Node #0,2,0: 48:[8, 51] Operation: 61-10=51
Exploring Operation: 8+10=18, Resulting Numbers: [61, 18]
Generated Node #0,2,1: 48:[61, 18] Operation: 8+10=18
Exploring Operation: 8+61=69, Resulting Numbers: [10, 69]
Generated Node #0,2,2: 48:[10, 69] Operation: 8+61=69
Exploring Operation: 61-8=53, Resulting Numbers: [10, 53]
Generated Node #0,2,3: 48:[10, 53] Operation: 61-8=53
Exploring Operation: 10-8=2, Resulting Numbers: [61, 2]
Generated Node #0,2,4: 48:[61, 2] Operation: 10-8=2
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[8, 51], Operations: ['27-17=10', '61-10=51']
Exploring Operation: 8*51=408, Resulting Numbers: [408]
408,48 unequal: No Solution
Exploring Operation: 8+51=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 51-8=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No 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: 48:[10, 53], Operations: ['27-17=10', '61-8=53']
Exploring Operation: 10+53=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 10*53=530, Resulting Numbers: [530]
530,48 unequal: No Solution
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,48 unequal: No Solution
No 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: 48:[61, 2], Operations: ['27-17=10', '10-8=2']
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,48 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,48 unequal: No Solution
No 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: 48:[61, 18], Operations: ['27-17=10', '8+10=18']
Exploring Operation: 61*18=1098, Resulting Numbers: [1098]
1098,48 unequal: No Solution
Exploring Operation: 61-18=43, Resulting Numbers: [43]
43,48 unequal: No Solution
Exploring Operation: 61+18=79, Resulting Numbers: [79]
79,48 unequal: No Solution
No 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: 48:[10, 69], Operations: ['27-17=10', '8+61=69']
Exploring Operation: 10*69=690, Resulting Numbers: [690]
690,48 unequal: No Solution
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,48 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: 48:[61, 17, 19], Operations: ['27-8=19']
Exploring Operation: 19-17=2, Resulting Numbers: [61, 2]
Generated Node #0,4,0: 48:[61, 2] Operation: 19-17=2
Exploring Operation: 17+19=36, Resulting Numbers: [61, 36]
Generated Node #0,4,1: 48:[61, 36] Operation: 17+19=36
Exploring Operation: 61+17=78, Resulting Numbers: [19, 78]
Generated Node #0,4,2: 48:[19, 78] Operation: 61+17=78
Exploring Operation: 61-19=42, Resulting Numbers: [17, 42]
Generated Node #0,4,3: 48:[17, 42] Operation: 61-19=42
Exploring Operation: 61-17=44, Resulting Numbers: [19, 44]
Generated Node #0,4,4: 48:[19, 44] Operation: 61-17=44
Moving to Node #0,4,3
Current State: 48:[17, 42], Operations: ['27-8=19', '61-19=42']
Exploring Operation: 17+42=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 17*42=714, Resulting Numbers: [714]
714,48 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[19, 44], Operations: ['27-8=19', '61-17=44']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 19*44=836, Resulting Numbers: [836]
836,48 unequal: No Solution
Exploring Operation: 19+44=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[61, 2], Operations: ['27-8=19', '19-17=2']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 61*2=122, Resulting Numbers: [122]
122,48 unequal: No Solution
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Moving to Node #0,4,1
Current State: 48:[61, 36], Operations: ['27-8=19', '17+19=36']
Exploring Operation: 61-36=25, Resulting Numbers: [25]
25,48 unequal: No Solution
Exploring Operation: 61*36=2196, Resulting Numbers: [2196]
2196,48 unequal: No Solution
Exploring Operation: 61+36=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[19, 78], Operations: ['27-8=19', '61+17=78']
Exploring Operation: 78-19=59, Resulting Numbers: [59]
59,48 unequal: No Solution
Exploring Operation: 19+78=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 19*78=1482, Resulting Numbers: [1482]
1482,48 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 |
[
52,
86,
46,
88
] | 12 | [
"52-46=6",
"88-86=2",
"6*2=12"
] | Current State: 12:[52, 86, 46, 88], Operations: []
Exploring Operation: 52-46=6, Resulting Numbers: [86, 88, 6]
Generated Node #2: [86, 88, 6] from Operation: 52-46=6
Current State: 12:[86, 88, 6], Operations: ['52-46=6']
Exploring Operation: 88-86=2, Resulting Numbers: [6, 2]
Generated Node #3: [6, 2] from Operation: 88-86=2
Current State: 12:[6, 2], Operations: ['52-46=6', '88-86=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[52, 86, 46, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [52, 46, 2]
Generated Node #0,0: 12:[52, 46, 2] Operation: 88-86=2
Exploring Operation: 88-52=36, Resulting Numbers: [86, 46, 36]
Generated Node #0,1: 12:[86, 46, 36] Operation: 88-52=36
Exploring Operation: 86-52=34, Resulting Numbers: [46, 88, 34]
Generated Node #0,2: 12:[46, 88, 34] Operation: 86-52=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[52, 46, 2], Operations: ['88-86=2']
Exploring Operation: 46/2=23, Resulting Numbers: [52, 23]
Generated Node #0,0,0: 12:[52, 23] Operation: 46/2=23
Exploring Operation: 52/2=26, Resulting Numbers: [46, 26]
Generated Node #0,0,1: 12:[46, 26] Operation: 52/2=26
Exploring Operation: 52-46=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 12:[2, 6] Operation: 52-46=6
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[2, 6], Operations: ['88-86=2', '52-46=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[52, 86, 46, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [52, 46, 2]
Generated Node #0,0: 12:[52, 46, 2] Operation: 88-86=2
Moving to Node #0,0
Current State: 12:[52, 46, 2], Operations: ['88-86=2']
Exploring Operation: 52-46=6, Resulting Numbers: [2, 6]
Generated Node #0,0,2: 12:[2, 6] Operation: 52-46=6
Moving to Node #0,0,2
Current State: 12:[2, 6], Operations: ['88-86=2', '52-46=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
84,
80,
24,
75
] | 95 | [
"84-80=4",
"24+75=99",
"99-4=95"
] | Current State: 95:[84, 80, 24, 75], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [24, 75, 4]
Generated Node #2: [24, 75, 4] from Operation: 84-80=4
Current State: 95:[24, 75, 4], Operations: ['84-80=4']
Exploring Operation: 24+75=99, Resulting Numbers: [4, 99]
Generated Node #3: [4, 99] from Operation: 24+75=99
Current State: 95:[4, 99], Operations: ['84-80=4', '24+75=99']
Exploring Operation: 99-4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[84, 80, 24, 75], Operations: []
Exploring Operation: 80-75=5, Resulting Numbers: [84, 24, 5]
Generated Node #0,0: 95:[84, 24, 5] Operation: 80-75=5
Moving to Node #0,0
Current State: 95:[84, 24, 5], Operations: ['80-75=5']
Exploring Operation: 84+5=89, Resulting Numbers: [24, 89]
Generated Node #0,0,0: 95:[24, 89] Operation: 84+5=89
Moving to Node #0,0,0
Current State: 95:[24, 89], Operations: ['80-75=5', '84+5=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,95 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
49,
34,
77,
47
] | 45 | [
"49-34=15",
"77-47=30",
"15+30=45"
] | Current State: 45:[49, 34, 77, 47], Operations: []
Exploring Operation: 49-34=15, Resulting Numbers: [77, 47, 15]
Generated Node #2: [77, 47, 15] from Operation: 49-34=15
Current State: 45:[77, 47, 15], Operations: ['49-34=15']
Exploring Operation: 77-47=30, Resulting Numbers: [15, 30]
Generated Node #3: [15, 30] from Operation: 77-47=30
Current State: 45:[15, 30], Operations: ['49-34=15', '77-47=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[49, 34, 77, 47], Operations: []
Exploring Operation: 77-34=43, Resulting Numbers: [49, 47, 43]
Generated Node #0,0: 45:[49, 47, 43] Operation: 77-34=43
Exploring Operation: 77-47=30, Resulting Numbers: [49, 34, 30]
Generated Node #0,1: 45:[49, 34, 30] Operation: 77-47=30
Exploring Operation: 77-49=28, Resulting Numbers: [34, 47, 28]
Generated Node #0,2: 45:[34, 47, 28] Operation: 77-49=28
Moving to Node #0,0
Current State: 45:[49, 47, 43], Operations: ['77-34=43']
Exploring Operation: 49-43=6, Resulting Numbers: [47, 6]
Generated Node #0,0,0: 45:[47, 6] Operation: 49-43=6
Exploring Operation: 47-43=4, Resulting Numbers: [49, 4]
Generated Node #0,0,1: 45:[49, 4] Operation: 47-43=4
Exploring Operation: 49-47=2, Resulting Numbers: [43, 2]
Generated Node #0,0,2: 45:[43, 2] Operation: 49-47=2
Moving to Node #0,2
Current State: 45:[34, 47, 28], Operations: ['77-49=28']
Exploring Operation: 34-28=6, Resulting Numbers: [47, 6]
Generated Node #0,2,0: 45:[47, 6] Operation: 34-28=6
Exploring Operation: 47-34=13, Resulting Numbers: [28, 13]
Generated Node #0,2,1: 45:[28, 13] Operation: 47-34=13
Exploring Operation: 47-28=19, Resulting Numbers: [34, 19]
Generated Node #0,2,2: 45:[34, 19] Operation: 47-28=19
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 45:[47, 6], Operations: ['77-49=28', '34-28=6']
Exploring Operation: 47+6=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 45:[28, 13], Operations: ['77-49=28', '47-34=13']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,45 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 45:[34, 19], Operations: ['77-49=28', '47-28=19']
Exploring Operation: 34*19=646, Resulting Numbers: [646]
646,45 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 45:[49, 34, 30], Operations: ['77-47=30']
Exploring Operation: 34-30=4, Resulting Numbers: [49, 4]
Generated Node #0,1,0: 45:[49, 4] Operation: 34-30=4
Exploring Operation: 49-30=19, Resulting Numbers: [34, 19]
Generated Node #0,1,1: 45:[34, 19] Operation: 49-30=19
Exploring Operation: 49-34=15, Resulting Numbers: [30, 15]
Generated Node #0,1,2: 45:[30, 15] Operation: 49-34=15
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 45:[49, 4], Operations: ['77-47=30', '34-30=4']
Exploring Operation: 49+4=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[49, 34, 77, 47], Operations: []
Exploring Operation: 77-47=30, Resulting Numbers: [49, 34, 30]
Generated Node #0,1: 45:[49, 34, 30] Operation: 77-47=30
Moving to Node #0,1
Current State: 45:[49, 34, 30], Operations: ['77-47=30']
Exploring Operation: 34-30=4, Resulting Numbers: [49, 4]
Generated Node #0,1,0: 45:[49, 4] Operation: 34-30=4
Moving to Node #0,1,0
Current State: 45:[49, 4], Operations: ['77-47=30', '34-30=4']
Exploring Operation: 49-4=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
6,
80,
31,
4
] | 18 | [
"6-4=2",
"31*2=62",
"80-62=18"
] | Current State: 18:[6, 80, 31, 4], Operations: []
Exploring Operation: 6-4=2, Resulting Numbers: [80, 31, 2]
Generated Node #2: [80, 31, 2] from Operation: 6-4=2
Current State: 18:[80, 31, 2], Operations: ['6-4=2']
Exploring Operation: 31*2=62, Resulting Numbers: [80, 62]
Generated Node #3: [80, 62] from Operation: 31*2=62
Current State: 18:[80, 62], Operations: ['6-4=2', '31*2=62']
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[6, 80, 31, 4], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [6, 31, 20]
Generated Node #0,0: 18:[6, 31, 20] Operation: 80/4=20
Exploring Operation: 80-4=76, Resulting Numbers: [6, 31, 76]
Generated Node #0,1: 18:[6, 31, 76] Operation: 80-4=76
Exploring Operation: 80-31=49, Resulting Numbers: [6, 4, 49]
Generated Node #0,2: 18:[6, 4, 49] Operation: 80-31=49
Exploring Operation: 80-6=74, Resulting Numbers: [31, 4, 74]
Generated Node #0,3: 18:[31, 4, 74] Operation: 80-6=74
Exploring Operation: 31-6=25, Resulting Numbers: [80, 4, 25]
Generated Node #0,4: 18:[80, 4, 25] Operation: 31-6=25
Moving to Node #0,0
Current State: 18:[6, 31, 20], Operations: ['80/4=20']
Exploring Operation: 20-6=14, Resulting Numbers: [31, 14]
Generated Node #0,0,0: 18:[31, 14] Operation: 20-6=14
Exploring Operation: 6+20=26, Resulting Numbers: [31, 26]
Generated Node #0,0,1: 18:[31, 26] Operation: 6+20=26
Exploring Operation: 31-20=11, Resulting Numbers: [6, 11]
Generated Node #0,0,2: 18:[6, 11] Operation: 31-20=11
Exploring Operation: 31-6=25, Resulting Numbers: [20, 25]
Generated Node #0,0,3: 18:[20, 25] Operation: 31-6=25
Exploring Operation: 6+31=37, Resulting Numbers: [20, 37]
Generated Node #0,0,4: 18:[20, 37] Operation: 6+31=37
Moving to Node #0,2
Current State: 18:[6, 4, 49], Operations: ['80-31=49']
Exploring Operation: 49-6=43, Resulting Numbers: [4, 43]
Generated Node #0,2,0: 18:[4, 43] Operation: 49-6=43
Exploring Operation: 4+49=53, Resulting Numbers: [6, 53]
Generated Node #0,2,1: 18:[6, 53] Operation: 4+49=53
Exploring Operation: 6+4=10, Resulting Numbers: [49, 10]
Generated Node #0,2,2: 18:[49, 10] Operation: 6+4=10
Exploring Operation: 49-4=45, Resulting Numbers: [6, 45]
Generated Node #0,2,3: 18:[6, 45] Operation: 49-4=45
Exploring Operation: 6-4=2, Resulting Numbers: [49, 2]
Generated Node #0,2,4: 18:[49, 2] Operation: 6-4=2
Moving to Node #0,3
Current State: 18:[31, 4, 74], Operations: ['80-6=74']
Exploring Operation: 31-4=27, Resulting Numbers: [74, 27]
Generated Node #0,3,0: 18:[74, 27] Operation: 31-4=27
Exploring Operation: 4+74=78, Resulting Numbers: [31, 78]
Generated Node #0,3,1: 18:[31, 78] Operation: 4+74=78
Exploring Operation: 74-4=70, Resulting Numbers: [31, 70]
Generated Node #0,3,2: 18:[31, 70] Operation: 74-4=70
Exploring Operation: 74-31=43, Resulting Numbers: [4, 43]
Generated Node #0,3,3: 18:[4, 43] Operation: 74-31=43
Exploring Operation: 31+4=35, Resulting Numbers: [74, 35]
Generated Node #0,3,4: 18:[74, 35] Operation: 31+4=35
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 18:[4, 43], Operations: ['80-6=74', '74-31=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,18 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,18 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 #0,3,0
Current State: 18:[74, 27], Operations: ['80-6=74', '31-4=27']
Exploring Operation: 74*27=1998, Resulting Numbers: [1998]
1998,18 unequal: No Solution
Exploring Operation: 74+27=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 74-27=47, Resulting Numbers: [47]
47,18 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:[31, 70], Operations: ['80-6=74', '74-4=70']
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 31*70=2170, Resulting Numbers: [2170]
2170,18 unequal: No Solution
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,18 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:[31, 78], Operations: ['80-6=74', '4+74=78']
Exploring Operation: 31+78=109, Resulting Numbers: [109]
109,18 unequal: No Solution
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 31*78=2418, Resulting Numbers: [2418]
2418,18 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 #0,3,4
Current State: 18:[74, 35], Operations: ['80-6=74', '31+4=35']
Exploring Operation: 74-35=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 74*35=2590, Resulting Numbers: [2590]
2590,18 unequal: No Solution
Exploring Operation: 74+35=109, Resulting Numbers: [109]
109,18 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: 18:[80, 4, 25], Operations: ['31-6=25']
Exploring Operation: 80+4=84, Resulting Numbers: [25, 84]
Generated Node #0,4,0: 18:[25, 84] Operation: 80+4=84
Exploring Operation: 80/4=20, Resulting Numbers: [25, 20]
Generated Node #0,4,1: 18:[25, 20] Operation: 80/4=20
Exploring Operation: 80-25=55, Resulting Numbers: [4, 55]
Generated Node #0,4,2: 18:[4, 55] Operation: 80-25=55
Exploring Operation: 80-4=76, Resulting Numbers: [25, 76]
Generated Node #0,4,3: 18:[25, 76] Operation: 80-4=76
Exploring Operation: 25-4=21, Resulting Numbers: [80, 21]
Generated Node #0,4,4: 18:[80, 21] Operation: 25-4=21
Moving to Node #0,1
Current State: 18:[6, 31, 76], Operations: ['80-4=76']
Exploring Operation: 6+31=37, Resulting Numbers: [76, 37]
Generated Node #0,1,0: 18:[76, 37] Operation: 6+31=37
Exploring Operation: 76-6=70, Resulting Numbers: [31, 70]
Generated Node #0,1,1: 18:[31, 70] Operation: 76-6=70
Exploring Operation: 31-6=25, Resulting Numbers: [76, 25]
Generated Node #0,1,2: 18:[76, 25] Operation: 31-6=25
Exploring Operation: 76-31=45, Resulting Numbers: [6, 45]
Generated Node #0,1,3: 18:[6, 45] Operation: 76-31=45
Exploring Operation: 6+76=82, Resulting Numbers: [31, 82]
Generated Node #0,1,4: 18:[31, 82] Operation: 6+76=82
Moving to Node #0,0,2
Current State: 18:[6, 11], Operations: ['80/4=20', '31-20=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,18 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Moving to Node #0,0,3
Current State: 18:[20, 25], Operations: ['80/4=20', '31-6=25']
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,18 unequal: No Solution
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Moving to Node #0,4,1
Current State: 18:[25, 20], Operations: ['31-6=25', '80/4=20']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 25+20=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Exploring Operation: 25*20=500, Resulting Numbers: [500]
500,18 unequal: No Solution
Moving to Node #0,0,0
Current State: 18:[31, 14], Operations: ['80/4=20', '20-6=14']
Exploring Operation: 31*14=434, Resulting Numbers: [434]
434,18 unequal: No Solution
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 31+14=45, Resulting Numbers: [45]
45,18 unequal: No Solution
Moving to Node #0,0,4
Current State: 18:[20, 37], Operations: ['80/4=20', '6+31=37']
Exploring Operation: 20*37=740, Resulting Numbers: [740]
740,18 unequal: No Solution
Exploring Operation: 37-20=17, Resulting Numbers: [17]
17,18 unequal: No Solution
Exploring Operation: 20+37=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Moving to Node #0,0,1
Current State: 18:[31, 26], Operations: ['80/4=20', '6+20=26']
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,18 unequal: No Solution
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,18 unequal: No Solution
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,18 unequal: No Solution
Moving to Node #0,2,0
Current State: 18:[4, 43], Operations: ['80-31=49', '49-6=43']
Exploring Operation: 4+43=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 4*43=172, Resulting Numbers: [172]
172,18 unequal: No Solution
Moving to Node #0,2,3
Current State: 18:[6, 45], Operations: ['80-31=49', '49-4=45']
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,18 unequal: No Solution
Moving to Node #0,1,3
Current State: 18:[6, 45], Operations: ['80-4=76', '76-31=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,18 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Moving to Node #0,2,4
Current State: 18:[49, 2], Operations: ['80-31=49', '6-4=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,18 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Moving to Node #0,2,2
Current State: 18:[49, 10], Operations: ['80-31=49', '6+4=10']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 49+10=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 49*10=490, Resulting Numbers: [490]
490,18 unequal: No Solution
Moving to Node #0,2,1
Current State: 18:[6, 53], Operations: ['80-31=49', '4+49=53']
Exploring Operation: 53-6=47, Resulting Numbers: [47]
47,18 unequal: No Solution
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Exploring Operation: 6*53=318, Resulting Numbers: [318]
318,18 unequal: No Solution
Moving to Node #0,4,2
Current State: 18:[4, 55], Operations: ['31-6=25', '80-25=55']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,18 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Moving to Node #0,4,4
Current State: 18:[80, 21], Operations: ['31-6=25', '25-4=21']
Exploring Operation: 80+21=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Exploring Operation: 80*21=1680, Resulting Numbers: [1680]
1680,18 unequal: No Solution
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Moving to Node #0,4,3
Current State: 18:[25, 76], Operations: ['31-6=25', '80-4=76']
Exploring Operation: 25*76=1900, Resulting Numbers: [1900]
1900,18 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 25+76=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Moving to Node #0,1,1
Current State: 18:[31, 70], Operations: ['80-4=76', '76-6=70']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 31*70=2170, Resulting Numbers: [2170]
2170,18 unequal: No Solution
Exploring Operation: 31+70=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[76, 25], Operations: ['80-4=76', '31-6=25']
Exploring Operation: 76*25=1900, Resulting Numbers: [1900]
1900,18 unequal: No Solution
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 76+25=101, Resulting Numbers: [101]
101,18 unequal: No Solution
Moving to Node #0,4,0
Current State: 18:[25, 84], Operations: ['31-6=25', '80+4=84']
Exploring Operation: 25*84=2100, Resulting Numbers: [2100]
2100,18 unequal: No Solution
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,18 unequal: No Solution
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,18 unequal: No Solution
Moving to Node #0,1,4
Current State: 18:[31, 82], Operations: ['80-4=76', '6+76=82']
Exploring Operation: 31*82=2542, Resulting Numbers: [2542]
2542,18 unequal: No Solution
Exploring Operation: 82-31=51, Resulting Numbers: [51]
51,18 unequal: No Solution
Exploring Operation: 31+82=113, Resulting Numbers: [113]
113,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[76, 37], Operations: ['80-4=76', '6+31=37']
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,18 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,18 unequal: No Solution
Exploring Operation: 76*37=2812, Resulting Numbers: [2812]
2812,18 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
63,
29,
43,
2
] | 89 | [
"63+29=92",
"92/2=46",
"43+46=89"
] | Current State: 89:[63, 29, 43, 2], Operations: []
Exploring Operation: 63+29=92, Resulting Numbers: [43, 2, 92]
Generated Node #2: [43, 2, 92] from Operation: 63+29=92
Current State: 89:[43, 2, 92], Operations: ['63+29=92']
Exploring Operation: 92/2=46, Resulting Numbers: [43, 46]
Generated Node #3: [43, 46] from Operation: 92/2=46
Current State: 89:[43, 46], Operations: ['63+29=92', '92/2=46']
Exploring Operation: 43+46=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[63, 29, 43, 2], Operations: []
Exploring Operation: 43*2=86, Resulting Numbers: [63, 29, 86]
Generated Node #0,0: 89:[63, 29, 86] Operation: 43*2=86
Exploring Operation: 63+2=65, Resulting Numbers: [29, 43, 65]
Generated Node #0,1: 89:[29, 43, 65] Operation: 63+2=65
Exploring Operation: 29*2=58, Resulting Numbers: [63, 43, 58]
Generated Node #0,2: 89:[63, 43, 58] Operation: 29*2=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[63, 29, 86], Operations: ['43*2=86']
Exploring Operation: 29+86=115, Resulting Numbers: [63, 115]
Generated Node #0,0,0: 89:[63, 115] Operation: 29+86=115
Exploring Operation: 63+29=92, Resulting Numbers: [86, 92]
Generated Node #0,0,1: 89:[86, 92] Operation: 63+29=92
Exploring Operation: 63-29=34, Resulting Numbers: [86, 34]
Generated Node #0,0,2: 89:[86, 34] Operation: 63-29=34
Moving to Node #0,0,1
Current State: 89:[86, 92], Operations: ['43*2=86', '63+29=92']
Exploring Operation: 86+92=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 92-86=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 86*92=7912, Resulting Numbers: [7912]
7912,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[63, 115], Operations: ['43*2=86', '29+86=115']
Exploring Operation: 63*115=7245, Resulting Numbers: [7245]
7245,89 unequal: No Solution
Exploring Operation: 63+115=178, Resulting Numbers: [178]
178,89 unequal: No Solution
Exploring Operation: 115-63=52, Resulting Numbers: [52]
52,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[86, 34], Operations: ['43*2=86', '63-29=34']
Exploring Operation: 86+34=120, Resulting Numbers: [120]
120,89 unequal: No Solution
Exploring Operation: 86*34=2924, Resulting Numbers: [2924]
2924,89 unequal: No Solution
Exploring Operation: 86-34=52, Resulting Numbers: [52]
52,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[63, 43, 58], Operations: ['29*2=58']
Exploring Operation: 43+58=101, Resulting Numbers: [63, 101]
Generated Node #0,2,0: 89:[63, 101] Operation: 43+58=101
Exploring Operation: 63+43=106, Resulting Numbers: [58, 106]
Generated Node #0,2,1: 89:[58, 106] Operation: 63+43=106
Exploring Operation: 63+58=121, Resulting Numbers: [43, 121]
Generated Node #0,2,2: 89:[43, 121] Operation: 63+58=121
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 89:[63, 101], Operations: ['29*2=58', '43+58=101']
Exploring Operation: 63+101=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 101-63=38, Resulting Numbers: [38]
38,89 unequal: No Solution
Exploring Operation: 63*101=6363, Resulting Numbers: [6363]
6363,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[58, 106], Operations: ['29*2=58', '63+43=106']
Exploring Operation: 58+106=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 58*106=6148, Resulting Numbers: [6148]
6148,89 unequal: No Solution
Exploring Operation: 106-58=48, Resulting Numbers: [48]
48,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 89:[43, 121], Operations: ['29*2=58', '63+58=121']
Exploring Operation: 43+121=164, Resulting Numbers: [164]
164,89 unequal: No Solution
Exploring Operation: 121-43=78, Resulting Numbers: [78]
78,89 unequal: No Solution
Exploring Operation: 43*121=5203, Resulting Numbers: [5203]
5203,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[29, 43, 65], Operations: ['63+2=65']
Exploring Operation: 43+65=108, Resulting Numbers: [29, 108]
Generated Node #0,1,0: 89:[29, 108] Operation: 43+65=108
Exploring Operation: 29+65=94, Resulting Numbers: [43, 94]
Generated Node #0,1,1: 89:[43, 94] Operation: 29+65=94
Exploring Operation: 29+43=72, Resulting Numbers: [65, 72]
Generated Node #0,1,2: 89:[65, 72] Operation: 29+43=72
Moving to Node #0,1,2
Current State: 89:[65, 72], Operations: ['63+2=65', '29+43=72']
Exploring Operation: 65+72=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Exploring Operation: 65*72=4680, Resulting Numbers: [4680]
4680,89 unequal: No Solution
Exploring Operation: 72-65=7, Resulting Numbers: [7]
7,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[43, 94], Operations: ['63+2=65', '29+65=94']
Exploring Operation: 43*94=4042, Resulting Numbers: [4042]
4042,89 unequal: No Solution
Exploring Operation: 94-43=51, Resulting Numbers: [51]
51,89 unequal: No Solution
Exploring Operation: 43+94=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[29, 108], Operations: ['63+2=65', '43+65=108']
Exploring Operation: 29*108=3132, Resulting Numbers: [3132]
3132,89 unequal: No Solution
Exploring Operation: 108-29=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 29+108=137, Resulting Numbers: [137]
137,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
38,
94,
97,
30
] | 65 | [
"38+94=132",
"97-30=67",
"132-67=65"
] | Current State: 65:[38, 94, 97, 30], Operations: []
Exploring Operation: 38+94=132, Resulting Numbers: [97, 30, 132]
Generated Node #2: [97, 30, 132] from Operation: 38+94=132
Current State: 65:[97, 30, 132], Operations: ['38+94=132']
Exploring Operation: 97-30=67, Resulting Numbers: [132, 67]
Generated Node #3: [132, 67] from Operation: 97-30=67
Current State: 65:[132, 67], Operations: ['38+94=132', '97-30=67']
Exploring Operation: 132-67=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[38, 94, 97, 30], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [38, 30, 3]
Generated Node #0,0: 65:[38, 30, 3] Operation: 97-94=3
Exploring Operation: 97-30=67, Resulting Numbers: [38, 94, 67]
Generated Node #0,1: 65:[38, 94, 67] Operation: 97-30=67
Exploring Operation: 94-30=64, Resulting Numbers: [38, 97, 64]
Generated Node #0,2: 65:[38, 97, 64] Operation: 94-30=64
Exploring Operation: 97-38=59, Resulting Numbers: [94, 30, 59]
Generated Node #0,3: 65:[94, 30, 59] Operation: 97-38=59
Exploring Operation: 94-38=56, Resulting Numbers: [97, 30, 56]
Generated Node #0,4: 65:[97, 30, 56] Operation: 94-38=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 65:[38, 30, 3], Operations: ['97-94=3']
Exploring Operation: 38+30=68, Resulting Numbers: [3, 68]
Generated Node #0,0,0: 65:[3, 68] Operation: 38+30=68
Exploring Operation: 30-3=27, Resulting Numbers: [38, 27]
Generated Node #0,0,1: 65:[38, 27] Operation: 30-3=27
Exploring Operation: 38-3=35, Resulting Numbers: [30, 35]
Generated Node #0,0,2: 65:[30, 35] Operation: 38-3=35
Exploring Operation: 30/3=10, Resulting Numbers: [38, 10]
Generated Node #0,0,3: 65:[38, 10] Operation: 30/3=10
Exploring Operation: 38-30=8, Resulting Numbers: [3, 8]
Generated Node #0,0,4: 65:[3, 8] Operation: 38-30=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 65:[3, 68], Operations: ['97-94=3', '38+30=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[38, 94, 97, 30], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [38, 30, 3]
Generated Node #0,0: 65:[38, 30, 3] Operation: 97-94=3
Moving to Node #0,0
Current State: 65:[38, 30, 3], Operations: ['97-94=3']
Exploring Operation: 38+30=68, Resulting Numbers: [3, 68]
Generated Node #0,0,0: 65:[3, 68] Operation: 38+30=68
Moving to Node #0,0,0
Current State: 65:[3, 68], Operations: ['97-94=3', '38+30=68']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
36,
50,
84,
80
] | 10 | [
"50-36=14",
"84-80=4",
"14-4=10"
] | Current State: 10:[36, 50, 84, 80], Operations: []
Exploring Operation: 50-36=14, Resulting Numbers: [84, 80, 14]
Generated Node #2: [84, 80, 14] from Operation: 50-36=14
Current State: 10:[84, 80, 14], Operations: ['50-36=14']
Exploring Operation: 84-80=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 84-80=4
Current State: 10:[14, 4], Operations: ['50-36=14', '84-80=4']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[36, 50, 84, 80], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [36, 50, 4]
Generated Node #0,0: 10:[36, 50, 4] Operation: 84-80=4
Exploring Operation: 84-50=34, Resulting Numbers: [36, 80, 34]
Generated Node #0,1: 10:[36, 80, 34] Operation: 84-50=34
Moving to Node #0,0
Current State: 10:[36, 50, 4], Operations: ['84-80=4']
Exploring Operation: 36/4=9, Resulting Numbers: [50, 9]
Generated Node #0,0,0: 10:[50, 9] Operation: 36/4=9
Exploring Operation: 50-36=14, Resulting Numbers: [4, 14]
Generated Node #0,0,1: 10:[4, 14] Operation: 50-36=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 10:[4, 14], Operations: ['84-80=4', '50-36=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[36, 50, 84, 80], Operations: []
Exploring Operation: 84-80=4, Resulting Numbers: [36, 50, 4]
Generated Node #0,0: 10:[36, 50, 4] Operation: 84-80=4
Moving to Node #0,0
Current State: 10:[36, 50, 4], Operations: ['84-80=4']
Exploring Operation: 50-36=14, Resulting Numbers: [4, 14]
Generated Node #0,0,1: 10:[4, 14] Operation: 50-36=14
Moving to Node #0,0,1
Current State: 10:[4, 14], Operations: ['84-80=4', '50-36=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
72,
64,
40,
96
] | 51 | [
"72*40=2880",
"2880/64=45",
"96-45=51"
] | Current State: 51:[72, 64, 40, 96], Operations: []
Exploring Operation: 72*40=2880, Resulting Numbers: [64, 96, 2880]
Generated Node #2: [64, 96, 2880] from Operation: 72*40=2880
Current State: 51:[64, 96, 2880], Operations: ['72*40=2880']
Exploring Operation: 2880/64=45, Resulting Numbers: [96, 45]
Generated Node #3: [96, 45] from Operation: 2880/64=45
Current State: 51:[96, 45], Operations: ['72*40=2880', '2880/64=45']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[72, 64, 40, 96], Operations: []
Exploring Operation: 96-72=24, Resulting Numbers: [64, 40, 24]
Generated Node #0,0: 51:[64, 40, 24] Operation: 96-72=24
Exploring Operation: 96-40=56, Resulting Numbers: [72, 64, 56]
Generated Node #0,1: 51:[72, 64, 56] Operation: 96-40=56
Exploring Operation: 96-64=32, Resulting Numbers: [72, 40, 32]
Generated Node #0,2: 51:[72, 40, 32] Operation: 96-64=32
Exploring Operation: 72-64=8, Resulting Numbers: [40, 96, 8]
Generated Node #0,3: 51:[40, 96, 8] Operation: 72-64=8
Start Sub Search at level 1: Moving to Node #0,0
Current State: 51:[64, 40, 24], Operations: ['96-72=24']
Exploring Operation: 64-40=24, Resulting Numbers: [24, 24]
Generated Node #0,0,0: 51:[24, 24] Operation: 64-40=24
Exploring Operation: 40-24=16, Resulting Numbers: [64, 16]
Generated Node #0,0,1: 51:[64, 16] Operation: 40-24=16
Exploring Operation: 64-24=40, Resulting Numbers: [40, 40]
Generated Node #0,0,2: 51:[40, 40] Operation: 64-24=40
Exploring Operation: 40+24=64, Resulting Numbers: [64, 64]
Generated Node #0,0,3: 51:[64, 64] Operation: 40+24=64
Moving to Node #0,0,0
Current State: 51:[24, 24], Operations: ['96-72=24', '64-40=24']
Exploring Operation: 24*24=576, Resulting Numbers: [576]
576,51 unequal: No Solution
Exploring Operation: 24/24=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 24-24=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 24+24=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Moving to Node #0,0,1
Current State: 51:[64, 16], Operations: ['96-72=24', '40-24=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,51 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[40, 40], Operations: ['96-72=24', '64-24=40']
Exploring Operation: 40*40=1600, Resulting Numbers: [1600]
1600,51 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Moving to Node #0,0,3
Current State: 51:[64, 64], Operations: ['96-72=24', '40+24=64']
Exploring Operation: 64+64=128, Resulting Numbers: [128]
128,51 unequal: No Solution
Exploring Operation: 64/64=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 64*64=4096, Resulting Numbers: [4096]
4096,51 unequal: No Solution
Exploring Operation: 64-64=0, Resulting Numbers: [0]
0,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[72, 64, 56], Operations: ['96-40=56']
Exploring Operation: 72-56=16, Resulting Numbers: [64, 16]
Generated Node #0,1,0: 51:[64, 16] Operation: 72-56=16
Exploring Operation: 72-64=8, Resulting Numbers: [56, 8]
Generated Node #0,1,1: 51:[56, 8] Operation: 72-64=8
Exploring Operation: 64-56=8, Resulting Numbers: [72, 8]
Generated Node #0,1,2: 51:[72, 8] Operation: 64-56=8
Exploring Operation: 72+64=136, Resulting Numbers: [56, 136]
Generated Node #0,1,3: 51:[56, 136] Operation: 72+64=136
Moving to Node #0,1,1
Current State: 51:[56, 8], Operations: ['96-40=56', '72-64=8']
Exploring Operation: 56*8=448, Resulting Numbers: [448]
448,51 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 56+8=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[64, 16], Operations: ['96-40=56', '72-56=16']
Exploring Operation: 64+16=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 64*16=1024, Resulting Numbers: [1024]
1024,51 unequal: No Solution
Exploring Operation: 64-16=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 64/16=4, Resulting Numbers: [4]
4,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[72, 8], Operations: ['96-40=56', '64-56=8']
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,51 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Moving to Node #0,1,3
Current State: 51:[56, 136], Operations: ['96-40=56', '72+64=136']
Exploring Operation: 56*136=7616, Resulting Numbers: [7616]
7616,51 unequal: No Solution
Exploring Operation: 136-56=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 56+136=192, Resulting Numbers: [192]
192,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 51:[72, 40, 32], Operations: ['96-64=32']
Exploring Operation: 40-32=8, Resulting Numbers: [72, 8]
Generated Node #0,2,0: 51:[72, 8] Operation: 40-32=8
Exploring Operation: 72-32=40, Resulting Numbers: [40, 40]
Generated Node #0,2,1: 51:[40, 40] Operation: 72-32=40
Exploring Operation: 72-40=32, Resulting Numbers: [32, 32]
Generated Node #0,2,2: 51:[32, 32] Operation: 72-40=32
Exploring Operation: 40+32=72, Resulting Numbers: [72, 72]
Generated Node #0,2,3: 51:[72, 72] Operation: 40+32=72
Moving to Node #0,2,1
Current State: 51:[40, 40], Operations: ['96-64=32', '72-32=40']
Exploring Operation: 40*40=1600, Resulting Numbers: [1600]
1600,51 unequal: No Solution
Exploring Operation: 40-40=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 40+40=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 40/40=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Moving to Node #0,2,0
Current State: 51:[72, 8], Operations: ['96-64=32', '40-32=8']
Exploring Operation: 72*8=576, Resulting Numbers: [576]
576,51 unequal: No Solution
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,51 unequal: No Solution
Exploring Operation: 72/8=9, Resulting Numbers: [9]
9,51 unequal: No Solution
Exploring Operation: 72-8=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[32, 32], Operations: ['96-64=32', '72-40=32']
Exploring Operation: 32-32=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 32*32=1024, Resulting Numbers: [1024]
1024,51 unequal: No Solution
Exploring Operation: 32/32=1, Resulting Numbers: [1]
1,51 unequal: No Solution
Exploring Operation: 32+32=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Moving to Node #0,2,3
Current State: 51:[72, 72], Operations: ['96-64=32', '40+32=72']
Exploring Operation: 72-72=0, Resulting Numbers: [0]
0,51 unequal: No Solution
Exploring Operation: 72*72=5184, Resulting Numbers: [5184]
5184,51 unequal: No Solution
Exploring Operation: 72+72=144, Resulting Numbers: [144]
144,51 unequal: No Solution
Exploring Operation: 72/72=1, Resulting Numbers: [1]
1,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 51:[40, 96, 8], Operations: ['72-64=8']
Exploring Operation: 96/8=12, Resulting Numbers: [40, 12]
Generated Node #0,3,0: 51:[40, 12] Operation: 96/8=12
Exploring Operation: 40+8=48, Resulting Numbers: [96, 48]
Generated Node #0,3,1: 51:[96, 48] Operation: 40+8=48
Exploring Operation: 96-40=56, Resulting Numbers: [8, 56]
Generated Node #0,3,2: 51:[8, 56] Operation: 96-40=56
Exploring Operation: 40/8=5, Resulting Numbers: [96, 5]
Generated Node #0,3,3: 51:[96, 5] Operation: 40/8=5
Moving to Node #0,3,2
Current State: 51:[8, 56], Operations: ['72-64=8', '96-40=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 56-8=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 8*56=448, Resulting Numbers: [448]
448,51 unequal: No Solution
Exploring Operation: 56/8=7, Resulting Numbers: [7]
7,51 unequal: No Solution
Moving to Node #0,3,0
Current State: 51:[40, 12], Operations: ['72-64=8', '96/8=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,51 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,51 unequal: No Solution
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,51 unequal: No Solution
Moving to Node #0,3,3
Current State: 51:[96, 5], Operations: ['72-64=8', '40/8=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,51 unequal: No Solution
Exploring Operation: 96*5=480, Resulting Numbers: [480]
480,51 unequal: No Solution
Exploring Operation: 96+5=101, Resulting Numbers: [101]
101,51 unequal: No Solution
Moving to Node #0,3,1
Current State: 51:[96, 48], Operations: ['72-64=8', '40+8=48']
Exploring Operation: 96*48=4608, Resulting Numbers: [4608]
4608,51 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,51 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,51 unequal: No Solution
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
88,
11,
91,
40
] | 86 | [
"88/11=8",
"40/8=5",
"91-5=86"
] | Current State: 86:[88, 11, 91, 40], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [91, 40, 8]
Generated Node #2: [91, 40, 8] from Operation: 88/11=8
Current State: 86:[91, 40, 8], Operations: ['88/11=8']
Exploring Operation: 40/8=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 40/8=5
Current State: 86:[91, 5], Operations: ['88/11=8', '40/8=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[88, 11, 91, 40], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [11, 40, 3]
Generated Node #0,0: 86:[11, 40, 3] Operation: 91-88=3
Exploring Operation: 91-11=80, Resulting Numbers: [88, 40, 80]
Generated Node #0,1: 86:[88, 40, 80] Operation: 91-11=80
Exploring Operation: 88/11=8, Resulting Numbers: [91, 40, 8]
Generated Node #0,2: 86:[91, 40, 8] Operation: 88/11=8
Exploring Operation: 11+40=51, Resulting Numbers: [88, 91, 51]
Generated Node #0,3: 86:[88, 91, 51] Operation: 11+40=51
Moving to Node #0,1
Current State: 86:[88, 40, 80], Operations: ['91-11=80']
Exploring Operation: 80-40=40, Resulting Numbers: [88, 40]
Generated Node #0,1,0: 86:[88, 40] Operation: 80-40=40
Exploring Operation: 88-80=8, Resulting Numbers: [40, 8]
Generated Node #0,1,1: 86:[40, 8] Operation: 88-80=8
Exploring Operation: 88-40=48, Resulting Numbers: [80, 48]
Generated Node #0,1,2: 86:[80, 48] Operation: 88-40=48
Exploring Operation: 80/40=2, Resulting Numbers: [88, 2]
Generated Node #0,1,3: 86:[88, 2] Operation: 80/40=2
Moving to Node #0,0
Current State: 86:[11, 40, 3], Operations: ['91-88=3']
Exploring Operation: 11*3=33, Resulting Numbers: [40, 33]
Generated Node #0,0,0: 86:[40, 33] Operation: 11*3=33
Exploring Operation: 40+3=43, Resulting Numbers: [11, 43]
Generated Node #0,0,1: 86:[11, 43] Operation: 40+3=43
Exploring Operation: 11+40=51, Resulting Numbers: [3, 51]
Generated Node #0,0,2: 86:[3, 51] Operation: 11+40=51
Exploring Operation: 11-3=8, Resulting Numbers: [40, 8]
Generated Node #0,0,3: 86:[40, 8] Operation: 11-3=8
Moving to Node #0,2
Current State: 86:[91, 40, 8], Operations: ['88/11=8']
Exploring Operation: 40/8=5, Resulting Numbers: [91, 5]
Generated Node #0,2,0: 86:[91, 5] Operation: 40/8=5
Exploring Operation: 91-40=51, Resulting Numbers: [8, 51]
Generated Node #0,2,1: 86:[8, 51] Operation: 91-40=51
Exploring Operation: 40+8=48, Resulting Numbers: [91, 48]
Generated Node #0,2,2: 86:[91, 48] Operation: 40+8=48
Exploring Operation: 91-8=83, Resulting Numbers: [40, 83]
Generated Node #0,2,3: 86:[40, 83] Operation: 91-8=83
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 86:[40, 83], Operations: ['88/11=8', '91-8=83']
Exploring Operation: 83-40=43, Resulting Numbers: [43]
43,86 unequal: No Solution
Exploring Operation: 40+83=123, Resulting Numbers: [123]
123,86 unequal: No Solution
Exploring Operation: 40*83=3320, Resulting Numbers: [3320]
3320,86 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 #0,2,0
Current State: 86:[91, 5], Operations: ['88/11=8', '40/8=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[88, 11, 91, 40], Operations: []
Exploring Operation: 88/11=8, Resulting Numbers: [91, 40, 8]
Generated Node #0,2: 86:[91, 40, 8] Operation: 88/11=8
Moving to Node #0,2
Current State: 86:[91, 40, 8], Operations: ['88/11=8']
Exploring Operation: 40/8=5, Resulting Numbers: [91, 5]
Generated Node #0,2,0: 86:[91, 5] Operation: 40/8=5
Moving to Node #0,2,0
Current State: 86:[91, 5], Operations: ['88/11=8', '40/8=5']
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | sum_heuristic |
[
47,
4,
19,
2
] | 72 | [
"47+4=51",
"19+2=21",
"51+21=72"
] | Current State: 72:[47, 4, 19, 2], Operations: []
Exploring Operation: 47+4=51, Resulting Numbers: [19, 2, 51]
Generated Node #2: [19, 2, 51] from Operation: 47+4=51
Current State: 72:[19, 2, 51], Operations: ['47+4=51']
Exploring Operation: 19+2=21, Resulting Numbers: [51, 21]
Generated Node #3: [51, 21] from Operation: 19+2=21
Current State: 72:[51, 21], Operations: ['47+4=51', '19+2=21']
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[47, 4, 19, 2], Operations: []
Exploring Operation: 47-4=43, Resulting Numbers: [19, 2, 43]
Generated Node #0,0: 72:[19, 2, 43] Operation: 47-4=43
Exploring Operation: 47+19=66, Resulting Numbers: [4, 2, 66]
Generated Node #0,1: 72:[4, 2, 66] Operation: 47+19=66
Exploring Operation: 47-19=28, Resulting Numbers: [4, 2, 28]
Generated Node #0,2: 72:[4, 2, 28] Operation: 47-19=28
Exploring Operation: 47-2=45, Resulting Numbers: [4, 19, 45]
Generated Node #0,3: 72:[4, 19, 45] Operation: 47-2=45
Moving to Node #0,2
Current State: 72:[4, 2, 28], Operations: ['47-19=28']
Exploring Operation: 28/4=7, Resulting Numbers: [2, 7]
Generated Node #0,2,0: 72:[2, 7] Operation: 28/4=7
Exploring Operation: 28-2=26, Resulting Numbers: [4, 26]
Generated Node #0,2,1: 72:[4, 26] Operation: 28-2=26
Exploring Operation: 28-4=24, Resulting Numbers: [2, 24]
Generated Node #0,2,2: 72:[2, 24] Operation: 28-4=24
Exploring Operation: 28/2=14, Resulting Numbers: [4, 14]
Generated Node #0,2,3: 72:[4, 14] Operation: 28/2=14
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[2, 24], Operations: ['47-19=28', '28-4=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[2, 7], Operations: ['47-19=28', '28/4=7']
Exploring Operation: 2+7=9, Resulting Numbers: [9]
9,72 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[4, 26], Operations: ['47-19=28', '28-2=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,72 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,72 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[4, 14], Operations: ['47-19=28', '28/2=14']
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,72 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: 72:[4, 2, 66], Operations: ['47+19=66']
Exploring Operation: 4+2=6, Resulting Numbers: [66, 6]
Generated Node #0,1,0: 72:[66, 6] Operation: 4+2=6
Exploring Operation: 66/2=33, Resulting Numbers: [4, 33]
Generated Node #0,1,1: 72:[4, 33] Operation: 66/2=33
Exploring Operation: 2+66=68, Resulting Numbers: [4, 68]
Generated Node #0,1,2: 72:[4, 68] Operation: 2+66=68
Exploring Operation: 4+66=70, Resulting Numbers: [2, 70]
Generated Node #0,1,3: 72:[2, 70] Operation: 4+66=70
Moving to Node #0,0
Current State: 72:[19, 2, 43], Operations: ['47-4=43']
Exploring Operation: 19-2=17, Resulting Numbers: [43, 17]
Generated Node #0,0,0: 72:[43, 17] Operation: 19-2=17
Exploring Operation: 19*2=38, Resulting Numbers: [43, 38]
Generated Node #0,0,1: 72:[43, 38] Operation: 19*2=38
Exploring Operation: 43-2=41, Resulting Numbers: [19, 41]
Generated Node #0,0,2: 72:[19, 41] Operation: 43-2=41
Exploring Operation: 43-19=24, Resulting Numbers: [2, 24]
Generated Node #0,0,3: 72:[2, 24] Operation: 43-19=24
Moving to Node #0,3
Current State: 72:[4, 19, 45], Operations: ['47-2=45']
Exploring Operation: 45-19=26, Resulting Numbers: [4, 26]
Generated Node #0,3,0: 72:[4, 26] Operation: 45-19=26
Exploring Operation: 4+19=23, Resulting Numbers: [45, 23]
Generated Node #0,3,1: 72:[45, 23] Operation: 4+19=23
Exploring Operation: 45-4=41, Resulting Numbers: [19, 41]
Generated Node #0,3,2: 72:[19, 41] Operation: 45-4=41
Exploring Operation: 19+45=64, Resulting Numbers: [4, 64]
Generated Node #0,3,3: 72:[4, 64] Operation: 19+45=64
Moving to Node #0,0,3
Current State: 72:[2, 24], Operations: ['47-4=43', '43-19=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,72 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,72 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[2, 70], Operations: ['47+19=66', '4+66=70']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Exploring Operation: 70-2=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Exploring Operation: 2*70=140, Resulting Numbers: [140]
140,72 unequal: No Solution
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[47, 4, 19, 2], Operations: []
Exploring Operation: 47+19=66, Resulting Numbers: [4, 2, 66]
Generated Node #0,1: 72:[4, 2, 66] Operation: 47+19=66
Moving to Node #0,1
Current State: 72:[4, 2, 66], Operations: ['47+19=66']
Exploring Operation: 4+66=70, Resulting Numbers: [2, 70]
Generated Node #0,1,3: 72:[2, 70] Operation: 4+66=70
Moving to Node #0,1,3
Current State: 72:[2, 70], Operations: ['47+19=66', '4+66=70']
Exploring Operation: 2+70=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.960938 | hs_4 | sum_heuristic |
[
48,
77,
88,
24
] | 66 | [
"48*77=3696",
"3696/88=42",
"24+42=66"
] | Current State: 66:[48, 77, 88, 24], Operations: []
Exploring Operation: 48*77=3696, Resulting Numbers: [88, 24, 3696]
Generated Node #2: [88, 24, 3696] from Operation: 48*77=3696
Current State: 66:[88, 24, 3696], Operations: ['48*77=3696']
Exploring Operation: 3696/88=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 3696/88=42
Current State: 66:[24, 42], Operations: ['48*77=3696', '3696/88=42']
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[48, 77, 88, 24], Operations: []
Exploring Operation: 48/24=2, Resulting Numbers: [77, 88, 2]
Generated Node #0,0: 66:[77, 88, 2] Operation: 48/24=2
Exploring Operation: 88-77=11, Resulting Numbers: [48, 24, 11]
Generated Node #0,1: 66:[48, 24, 11] Operation: 88-77=11
Exploring Operation: 88-24=64, Resulting Numbers: [48, 77, 64]
Generated Node #0,2: 66:[48, 77, 64] Operation: 88-24=64
Exploring Operation: 77-48=29, Resulting Numbers: [88, 24, 29]
Generated Node #0,3: 66:[88, 24, 29] Operation: 77-48=29
Exploring Operation: 88-48=40, Resulting Numbers: [77, 24, 40]
Generated Node #0,4: 66:[77, 24, 40] Operation: 88-48=40
Moving to Node #0,1
Current State: 66:[48, 24, 11], Operations: ['88-77=11']
Exploring Operation: 48/24=2, Resulting Numbers: [11, 2]
Generated Node #0,1,0: 66:[11, 2] Operation: 48/24=2
Exploring Operation: 48+11=59, Resulting Numbers: [24, 59]
Generated Node #0,1,1: 66:[24, 59] Operation: 48+11=59
Exploring Operation: 48-11=37, Resulting Numbers: [24, 37]
Generated Node #0,1,2: 66:[24, 37] Operation: 48-11=37
Exploring Operation: 48-24=24, Resulting Numbers: [11, 24]
Generated Node #0,1,3: 66:[11, 24] Operation: 48-24=24
Exploring Operation: 48+24=72, Resulting Numbers: [11, 72]
Generated Node #0,1,4: 66:[11, 72] Operation: 48+24=72
Moving to Node #0,4
Current State: 66:[77, 24, 40], Operations: ['88-48=40']
Exploring Operation: 77-24=53, Resulting Numbers: [40, 53]
Generated Node #0,4,0: 66:[40, 53] Operation: 77-24=53
Exploring Operation: 24+40=64, Resulting Numbers: [77, 64]
Generated Node #0,4,1: 66:[77, 64] Operation: 24+40=64
Exploring Operation: 77+24=101, Resulting Numbers: [40, 101]
Generated Node #0,4,2: 66:[40, 101] Operation: 77+24=101
Exploring Operation: 40-24=16, Resulting Numbers: [77, 16]
Generated Node #0,4,3: 66:[77, 16] Operation: 40-24=16
Exploring Operation: 77-40=37, Resulting Numbers: [24, 37]
Generated Node #0,4,4: 66:[24, 37] Operation: 77-40=37
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 66:[24, 37], Operations: ['88-48=40', '77-40=37']
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,66 unequal: No Solution
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,66 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 #0,4,1
Current State: 66:[77, 64], Operations: ['88-48=40', '24+40=64']
Exploring Operation: 77*64=4928, Resulting Numbers: [4928]
4928,66 unequal: No Solution
Exploring Operation: 77+64=141, Resulting Numbers: [141]
141,66 unequal: No Solution
Exploring Operation: 77-64=13, Resulting Numbers: [13]
13,66 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 #0,4,3
Current State: 66:[77, 16], Operations: ['88-48=40', '40-24=16']
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,66 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 #0,4,0
Current State: 66:[40, 53], Operations: ['88-48=40', '77-24=53']
Exploring Operation: 40*53=2120, Resulting Numbers: [2120]
2120,66 unequal: No Solution
Exploring Operation: 53-40=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 40+53=93, Resulting Numbers: [93]
93,66 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 #0,4,2
Current State: 66:[40, 101], Operations: ['88-48=40', '77+24=101']
Exploring Operation: 40+101=141, Resulting Numbers: [141]
141,66 unequal: No Solution
Exploring Operation: 40*101=4040, Resulting Numbers: [4040]
4040,66 unequal: No Solution
Exploring Operation: 101-40=61, Resulting Numbers: [61]
61,66 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:[48, 77, 64], Operations: ['88-24=64']
Exploring Operation: 77-48=29, Resulting Numbers: [64, 29]
Generated Node #0,2,0: 66:[64, 29] Operation: 77-48=29
Exploring Operation: 48+77=125, Resulting Numbers: [64, 125]
Generated Node #0,2,1: 66:[64, 125] Operation: 48+77=125
Exploring Operation: 77-64=13, Resulting Numbers: [48, 13]
Generated Node #0,2,2: 66:[48, 13] Operation: 77-64=13
Exploring Operation: 64-48=16, Resulting Numbers: [77, 16]
Generated Node #0,2,3: 66:[77, 16] Operation: 64-48=16
Exploring Operation: 48+64=112, Resulting Numbers: [77, 112]
Generated Node #0,2,4: 66:[77, 112] Operation: 48+64=112
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 66:[64, 29], Operations: ['88-24=64', '77-48=29']
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 64*29=1856, Resulting Numbers: [1856]
1856,66 unequal: No Solution
Exploring Operation: 64+29=93, Resulting Numbers: [93]
93,66 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:[77, 16], Operations: ['88-24=64', '64-48=16']
Exploring Operation: 77+16=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 77-16=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 77*16=1232, Resulting Numbers: [1232]
1232,66 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:[48, 13], Operations: ['88-24=64', '77-64=13']
Exploring Operation: 48-13=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 48+13=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 48*13=624, Resulting Numbers: [624]
624,66 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:[77, 112], Operations: ['88-24=64', '48+64=112']
Exploring Operation: 112-77=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 77*112=8624, Resulting Numbers: [8624]
8624,66 unequal: No Solution
Exploring Operation: 77+112=189, Resulting Numbers: [189]
189,66 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:[64, 125], Operations: ['88-24=64', '48+77=125']
Exploring Operation: 125-64=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Exploring Operation: 64*125=8000, Resulting Numbers: [8000]
8000,66 unequal: No Solution
Exploring Operation: 64+125=189, Resulting Numbers: [189]
189,66 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:[88, 24, 29], Operations: ['77-48=29']
Exploring Operation: 88-24=64, Resulting Numbers: [29, 64]
Generated Node #0,3,0: 66:[29, 64] Operation: 88-24=64
Exploring Operation: 24+29=53, Resulting Numbers: [88, 53]
Generated Node #0,3,1: 66:[88, 53] Operation: 24+29=53
Exploring Operation: 88-29=59, Resulting Numbers: [24, 59]
Generated Node #0,3,2: 66:[24, 59] Operation: 88-29=59
Exploring Operation: 88+24=112, Resulting Numbers: [29, 112]
Generated Node #0,3,3: 66:[29, 112] Operation: 88+24=112
Exploring Operation: 29-24=5, Resulting Numbers: [88, 5]
Generated Node #0,3,4: 66:[88, 5] Operation: 29-24=5
Moving to Node #0,0
Current State: 66:[77, 88, 2], Operations: ['48/24=2']
Exploring Operation: 88-77=11, Resulting Numbers: [2, 11]
Generated Node #0,0,0: 66:[2, 11] Operation: 88-77=11
Exploring Operation: 77+2=79, Resulting Numbers: [88, 79]
Generated Node #0,0,1: 66:[88, 79] Operation: 77+2=79
Exploring Operation: 77-2=75, Resulting Numbers: [88, 75]
Generated Node #0,0,2: 66:[88, 75] Operation: 77-2=75
Exploring Operation: 88-2=86, Resulting Numbers: [77, 86]
Generated Node #0,0,3: 66:[77, 86] Operation: 88-2=86
Exploring Operation: 88/2=44, Resulting Numbers: [77, 44]
Generated Node #0,0,4: 66:[77, 44] Operation: 88/2=44
Moving to Node #0,1,0
Current State: 66:[11, 2], Operations: ['88-77=11', '48/24=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[2, 11], Operations: ['48/24=2', '88-77=11']
Exploring Operation: 2*11=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[11, 24], Operations: ['88-77=11', '48-24=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 11*24=264, Resulting Numbers: [264]
264,66 unequal: No Solution
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[24, 37], Operations: ['88-77=11', '48-11=37']
Exploring Operation: 37-24=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 24*37=888, Resulting Numbers: [888]
888,66 unequal: No Solution
Exploring Operation: 24+37=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Moving to Node #0,3,0
Current State: 66:[29, 64], Operations: ['77-48=29', '88-24=64']
Exploring Operation: 29+64=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Exploring Operation: 29*64=1856, Resulting Numbers: [1856]
1856,66 unequal: No Solution
Exploring Operation: 64-29=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Moving to Node #0,1,4
Current State: 66:[11, 72], Operations: ['88-77=11', '48+24=72']
Exploring Operation: 11*72=792, Resulting Numbers: [792]
792,66 unequal: No Solution
Exploring Operation: 11+72=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 72-11=61, Resulting Numbers: [61]
61,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[24, 59], Operations: ['77-48=29', '88-29=59']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[24, 59], Operations: ['88-77=11', '48+11=59']
Exploring Operation: 24+59=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 24*59=1416, Resulting Numbers: [1416]
1416,66 unequal: No Solution
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Moving to Node #0,0,4
Current State: 66:[77, 44], Operations: ['48/24=2', '88/2=44']
Exploring Operation: 77*44=3388, Resulting Numbers: [3388]
3388,66 unequal: No Solution
Exploring Operation: 77+44=121, Resulting Numbers: [121]
121,66 unequal: No Solution
Exploring Operation: 77-44=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,3,4
Current State: 66:[88, 5], Operations: ['77-48=29', '29-24=5']
Exploring Operation: 88*5=440, Resulting Numbers: [440]
440,66 unequal: No Solution
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 88+5=93, Resulting Numbers: [93]
93,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[88, 75], Operations: ['48/24=2', '77-2=75']
Exploring Operation: 88+75=163, Resulting Numbers: [163]
163,66 unequal: No Solution
Exploring Operation: 88*75=6600, Resulting Numbers: [6600]
6600,66 unequal: No Solution
Exploring Operation: 88-75=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[77, 86], Operations: ['48/24=2', '88-2=86']
Exploring Operation: 77+86=163, Resulting Numbers: [163]
163,66 unequal: No Solution
Exploring Operation: 77*86=6622, Resulting Numbers: [6622]
6622,66 unequal: No Solution
Exploring Operation: 86-77=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[88, 53], Operations: ['77-48=29', '24+29=53']
Exploring Operation: 88-53=35, Resulting Numbers: [35]
35,66 unequal: No Solution
Exploring Operation: 88*53=4664, Resulting Numbers: [4664]
4664,66 unequal: No Solution
Exploring Operation: 88+53=141, Resulting Numbers: [141]
141,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[88, 79], Operations: ['48/24=2', '77+2=79']
Exploring Operation: 88-79=9, Resulting Numbers: [9]
9,66 unequal: No Solution
Exploring Operation: 88*79=6952, Resulting Numbers: [6952]
6952,66 unequal: No Solution
Exploring Operation: 88+79=167, Resulting Numbers: [167]
167,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[29, 112], Operations: ['77-48=29', '88+24=112']
Exploring Operation: 112-29=83, Resulting Numbers: [83]
83,66 unequal: No Solution
Exploring Operation: 29*112=3248, Resulting Numbers: [3248]
3248,66 unequal: No Solution
Exploring Operation: 29+112=141, Resulting Numbers: [141]
141,66 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
20,
33,
43,
38
] | 19 | [
"43-33=10",
"20/10=2",
"38/2=19"
] | Current State: 19:[20, 33, 43, 38], Operations: []
Exploring Operation: 43-33=10, Resulting Numbers: [20, 38, 10]
Generated Node #2: [20, 38, 10] from Operation: 43-33=10
Current State: 19:[20, 38, 10], Operations: ['43-33=10']
Exploring Operation: 20/10=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 20/10=2
Current State: 19:[38, 2], Operations: ['43-33=10', '20/10=2']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[20, 33, 43, 38], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [20, 33, 5]
Generated Node #0,0: 19:[20, 33, 5] Operation: 43-38=5
Exploring Operation: 43-33=10, Resulting Numbers: [20, 38, 10]
Generated Node #0,1: 19:[20, 38, 10] Operation: 43-33=10
Exploring Operation: 38-20=18, Resulting Numbers: [33, 43, 18]
Generated Node #0,2: 19:[33, 43, 18] Operation: 38-20=18
Exploring Operation: 43-20=23, Resulting Numbers: [33, 38, 23]
Generated Node #0,3: 19:[33, 38, 23] Operation: 43-20=23
Exploring Operation: 38-33=5, Resulting Numbers: [20, 43, 5]
Generated Node #0,4: 19:[20, 43, 5] Operation: 38-33=5
Moving to Node #0,0
Current State: 19:[20, 33, 5], Operations: ['43-38=5']
Exploring Operation: 33-20=13, Resulting Numbers: [5, 13]
Generated Node #0,0,0: 19:[5, 13] Operation: 33-20=13
Exploring Operation: 20+5=25, Resulting Numbers: [33, 25]
Generated Node #0,0,1: 19:[33, 25] Operation: 20+5=25
Exploring Operation: 20-5=15, Resulting Numbers: [33, 15]
Generated Node #0,0,2: 19:[33, 15] Operation: 20-5=15
Exploring Operation: 33-5=28, Resulting Numbers: [20, 28]
Generated Node #0,0,3: 19:[20, 28] Operation: 33-5=28
Exploring Operation: 33+5=38, Resulting Numbers: [20, 38]
Generated Node #0,0,4: 19:[20, 38] Operation: 33+5=38
Moving to Node #0,1
Current State: 19:[20, 38, 10], Operations: ['43-33=10']
Exploring Operation: 38-20=18, Resulting Numbers: [10, 18]
Generated Node #0,1,0: 19:[10, 18] Operation: 38-20=18
Exploring Operation: 38-10=28, Resulting Numbers: [20, 28]
Generated Node #0,1,1: 19:[20, 28] Operation: 38-10=28
Exploring Operation: 20-10=10, Resulting Numbers: [38, 10]
Generated Node #0,1,2: 19:[38, 10] Operation: 20-10=10
Exploring Operation: 38+10=48, Resulting Numbers: [20, 48]
Generated Node #0,1,3: 19:[20, 48] Operation: 38+10=48
Exploring Operation: 20+10=30, Resulting Numbers: [38, 30]
Generated Node #0,1,4: 19:[38, 30] Operation: 20+10=30
Moving to Node #0,3
Current State: 19:[33, 38, 23], Operations: ['43-20=23']
Exploring Operation: 33+38=71, Resulting Numbers: [23, 71]
Generated Node #0,3,0: 19:[23, 71] Operation: 33+38=71
Exploring Operation: 33+23=56, Resulting Numbers: [38, 56]
Generated Node #0,3,1: 19:[38, 56] Operation: 33+23=56
Exploring Operation: 38-33=5, Resulting Numbers: [23, 5]
Generated Node #0,3,2: 19:[23, 5] Operation: 38-33=5
Exploring Operation: 33-23=10, Resulting Numbers: [38, 10]
Generated Node #0,3,3: 19:[38, 10] Operation: 33-23=10
Exploring Operation: 38-23=15, Resulting Numbers: [33, 15]
Generated Node #0,3,4: 19:[33, 15] Operation: 38-23=15
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 19:[23, 5], Operations: ['43-20=23', '38-33=5']
Exploring Operation: 23+5=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 23*5=115, Resulting Numbers: [115]
115,19 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 #0,3,4
Current State: 19:[33, 15], Operations: ['43-20=23', '38-23=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,19 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,19 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 #0,3,3
Current State: 19:[38, 10], Operations: ['43-20=23', '33-23=10']
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,19 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,19 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 #0,3,0
Current State: 19:[23, 71], Operations: ['43-20=23', '33+38=71']
Exploring Operation: 23*71=1633, Resulting Numbers: [1633]
1633,19 unequal: No Solution
Exploring Operation: 71-23=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,19 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 #0,3,1
Current State: 19:[38, 56], Operations: ['43-20=23', '33+23=56']
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,19 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,19 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: 19:[33, 43, 18], Operations: ['38-20=18']
Exploring Operation: 33+18=51, Resulting Numbers: [43, 51]
Generated Node #0,2,0: 19:[43, 51] Operation: 33+18=51
Exploring Operation: 43-33=10, Resulting Numbers: [18, 10]
Generated Node #0,2,1: 19:[18, 10] Operation: 43-33=10
Exploring Operation: 43+18=61, Resulting Numbers: [33, 61]
Generated Node #0,2,2: 19:[33, 61] Operation: 43+18=61
Exploring Operation: 33-18=15, Resulting Numbers: [43, 15]
Generated Node #0,2,3: 19:[43, 15] Operation: 33-18=15
Exploring Operation: 43-18=25, Resulting Numbers: [33, 25]
Generated Node #0,2,4: 19:[33, 25] Operation: 43-18=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[18, 10], Operations: ['38-20=18', '43-33=10']
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,19 unequal: No Solution
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,19 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 #0,2,4
Current State: 19:[33, 25], Operations: ['38-20=18', '43-18=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,19 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 19:[43, 15], Operations: ['38-20=18', '33-18=15']
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,19 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,19 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 #0,2,0
Current State: 19:[43, 51], Operations: ['38-20=18', '33+18=51']
Exploring Operation: 43+51=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 51-43=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 43*51=2193, Resulting Numbers: [2193]
2193,19 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 #0,2,2
Current State: 19:[33, 61], Operations: ['38-20=18', '43+18=61']
Exploring Operation: 61-33=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 33+61=94, Resulting Numbers: [94]
94,19 unequal: No Solution
Exploring Operation: 33*61=2013, Resulting Numbers: [2013]
2013,19 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: 19:[20, 43, 5], Operations: ['38-33=5']
Exploring Operation: 43-5=38, Resulting Numbers: [20, 38]
Generated Node #0,4,0: 19:[20, 38] Operation: 43-5=38
Exploring Operation: 20-5=15, Resulting Numbers: [43, 15]
Generated Node #0,4,1: 19:[43, 15] Operation: 20-5=15
Exploring Operation: 43-20=23, Resulting Numbers: [5, 23]
Generated Node #0,4,2: 19:[5, 23] Operation: 43-20=23
Exploring Operation: 43+5=48, Resulting Numbers: [20, 48]
Generated Node #0,4,3: 19:[20, 48] Operation: 43+5=48
Exploring Operation: 20+5=25, Resulting Numbers: [43, 25]
Generated Node #0,4,4: 19:[43, 25] Operation: 20+5=25
Moving to Node #0,0,3
Current State: 19:[20, 28], Operations: ['43-38=5', '33-5=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Moving to Node #0,1,0
Current State: 19:[10, 18], Operations: ['43-33=10', '38-20=18']
Exploring Operation: 10+18=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 10*18=180, Resulting Numbers: [180]
180,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[20, 28], Operations: ['43-33=10', '38-10=28']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[33, 15], Operations: ['43-38=5', '20-5=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,19 unequal: No Solution
Moving to Node #0,4,2
Current State: 19:[5, 23], Operations: ['38-33=5', '43-20=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,19 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[5, 13], Operations: ['43-38=5', '33-20=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,19 unequal: No Solution
Moving to Node #0,4,0
Current State: 19:[20, 38], Operations: ['38-33=5', '43-5=38']
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,19 unequal: No Solution
Moving to Node #0,0,4
Current State: 19:[20, 38], Operations: ['43-38=5', '33+5=38']
Exploring Operation: 20*38=760, Resulting Numbers: [760]
760,19 unequal: No Solution
Exploring Operation: 20+38=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[33, 25], Operations: ['43-38=5', '20+5=25']
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,19 unequal: No Solution
Moving to Node #0,4,1
Current State: 19:[43, 15], Operations: ['38-33=5', '20-5=15']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,19 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[38, 10], Operations: ['43-33=10', '20-10=10']
Exploring Operation: 38*10=380, Resulting Numbers: [380]
380,19 unequal: No Solution
Exploring Operation: 38+10=48, Resulting Numbers: [48]
48,19 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Moving to Node #0,4,3
Current State: 19:[20, 48], Operations: ['38-33=5', '43+5=48']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,19 unequal: No Solution
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,19 unequal: No Solution
Moving to Node #0,4,4
Current State: 19:[43, 25], Operations: ['38-33=5', '20+5=25']
Exploring Operation: 43-25=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 43+25=68, Resulting Numbers: [68]
68,19 unequal: No Solution
Exploring Operation: 43*25=1075, Resulting Numbers: [1075]
1075,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[20, 48], Operations: ['43-33=10', '38+10=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,19 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,19 unequal: No Solution
Moving to Node #0,1,4
Current State: 19:[38, 30], Operations: ['43-33=10', '20+10=30']
Exploring Operation: 38-30=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 38*30=1140, Resulting Numbers: [1140]
1140,19 unequal: No Solution
Exploring Operation: 38+30=68, Resulting Numbers: [68]
68,19 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
41,
88,
7,
9
] | 45 | [
"88-41=47",
"9-7=2",
"47-2=45"
] | Current State: 45:[41, 88, 7, 9], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [7, 9, 47]
Generated Node #2: [7, 9, 47] from Operation: 88-41=47
Current State: 45:[7, 9, 47], Operations: ['88-41=47']
Exploring Operation: 9-7=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 9-7=2
Current State: 45:[47, 2], Operations: ['88-41=47', '9-7=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[41, 88, 7, 9], Operations: []
Exploring Operation: 88-9=79, Resulting Numbers: [41, 7, 79]
Generated Node #0,0: 45:[41, 7, 79] Operation: 88-9=79
Exploring Operation: 88-41=47, Resulting Numbers: [7, 9, 47]
Generated Node #0,1: 45:[7, 9, 47] Operation: 88-41=47
Exploring Operation: 88-7=81, Resulting Numbers: [41, 9, 81]
Generated Node #0,2: 45:[41, 9, 81] Operation: 88-7=81
Exploring Operation: 41+7=48, Resulting Numbers: [88, 9, 48]
Generated Node #0,3: 45:[88, 9, 48] Operation: 41+7=48
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[7, 9, 47], Operations: ['88-41=47']
Exploring Operation: 7+47=54, Resulting Numbers: [9, 54]
Generated Node #0,1,0: 45:[9, 54] Operation: 7+47=54
Exploring Operation: 47-7=40, Resulting Numbers: [9, 40]
Generated Node #0,1,1: 45:[9, 40] Operation: 47-7=40
Exploring Operation: 7+9=16, Resulting Numbers: [47, 16]
Generated Node #0,1,2: 45:[47, 16] Operation: 7+9=16
Exploring Operation: 9-7=2, Resulting Numbers: [47, 2]
Generated Node #0,1,3: 45:[47, 2] Operation: 9-7=2
Moving to Node #0,1,2
Current State: 45:[47, 16], Operations: ['88-41=47', '7+9=16']
Exploring Operation: 47+16=63, Resulting Numbers: [63]
63,45 unequal: No Solution
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 47*16=752, Resulting Numbers: [752]
752,45 unequal: No Solution
Moving to Node #0,1,3
Current State: 45:[47, 2], Operations: ['88-41=47', '9-7=2']
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,45 unequal: No Solution
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,45 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[41, 88, 7, 9], Operations: []
Exploring Operation: 88-41=47, Resulting Numbers: [7, 9, 47]
Generated Node #0,1: 45:[7, 9, 47] Operation: 88-41=47
Moving to Node #0,1
Current State: 45:[7, 9, 47], Operations: ['88-41=47']
Exploring Operation: 9-7=2, Resulting Numbers: [47, 2]
Generated Node #0,1,3: 45:[47, 2] Operation: 9-7=2
Moving to Node #0,1,3
Current State: 45:[47, 2], Operations: ['88-41=47', '9-7=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
8,
52,
13,
11
] | 48 | [
"13-11=2",
"8/2=4",
"52-4=48"
] | Current State: 48:[8, 52, 13, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [8, 52, 2]
Generated Node #2: [8, 52, 2] from Operation: 13-11=2
Current State: 48:[8, 52, 2], Operations: ['13-11=2']
Exploring Operation: 8/2=4, Resulting Numbers: [52, 4]
Generated Node #3: [52, 4] from Operation: 8/2=4
Current State: 48:[52, 4], Operations: ['13-11=2', '8/2=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[8, 52, 13, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [8, 52, 2]
Generated Node #0,0: 48:[8, 52, 2] Operation: 13-11=2
Exploring Operation: 52/13=4, Resulting Numbers: [8, 11, 4]
Generated Node #0,1: 48:[8, 11, 4] Operation: 52/13=4
Exploring Operation: 13+11=24, Resulting Numbers: [8, 52, 24]
Generated Node #0,2: 48:[8, 52, 24] Operation: 13+11=24
Exploring Operation: 52-8=44, Resulting Numbers: [13, 11, 44]
Generated Node #0,3: 48:[13, 11, 44] Operation: 52-8=44
Exploring Operation: 11-8=3, Resulting Numbers: [52, 13, 3]
Generated Node #0,4: 48:[52, 13, 3] Operation: 11-8=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[8, 11, 4], Operations: ['52/13=4']
Exploring Operation: 8+4=12, Resulting Numbers: [11, 12]
Generated Node #0,1,0: 48:[11, 12] Operation: 8+4=12
Exploring Operation: 11-8=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 48:[4, 3] Operation: 11-8=3
Exploring Operation: 8/4=2, Resulting Numbers: [11, 2]
Generated Node #0,1,2: 48:[11, 2] Operation: 8/4=2
Exploring Operation: 8-4=4, Resulting Numbers: [11, 4]
Generated Node #0,1,3: 48:[11, 4] Operation: 8-4=4
Exploring Operation: 11+4=15, Resulting Numbers: [8, 15]
Generated Node #0,1,4: 48:[8, 15] Operation: 11+4=15
Moving to Node #0,1,1
Current State: 48:[4, 3], Operations: ['52/13=4', '11-8=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[11, 2], Operations: ['52/13=4', '8/4=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,48 unequal: No Solution
Moving to Node #0,1,4
Current State: 48:[8, 15], Operations: ['52/13=4', '11+4=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Exploring Operation: 8*15=120, Resulting Numbers: [120]
120,48 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[11, 12], Operations: ['52/13=4', '8+4=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,48 unequal: No Solution
Exploring Operation: 11*12=132, Resulting Numbers: [132]
132,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[11, 4], Operations: ['52/13=4', '8-4=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,48 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[8, 52, 2], Operations: ['13-11=2']
Exploring Operation: 52-8=44, Resulting Numbers: [2, 44]
Generated Node #0,0,0: 48:[2, 44] Operation: 52-8=44
Exploring Operation: 52/2=26, Resulting Numbers: [8, 26]
Generated Node #0,0,1: 48:[8, 26] Operation: 52/2=26
Exploring Operation: 8-2=6, Resulting Numbers: [52, 6]
Generated Node #0,0,2: 48:[52, 6] Operation: 8-2=6
Exploring Operation: 8*2=16, Resulting Numbers: [52, 16]
Generated Node #0,0,3: 48:[52, 16] Operation: 8*2=16
Exploring Operation: 52-2=50, Resulting Numbers: [8, 50]
Generated Node #0,0,4: 48:[8, 50] Operation: 52-2=50
Moving to Node #0,0,1
Current State: 48:[8, 26], Operations: ['13-11=2', '52/2=26']
Exploring Operation: 8+26=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,48 unequal: No Solution
Exploring Operation: 8*26=208, Resulting Numbers: [208]
208,48 unequal: No Solution
Moving to Node #0,0,4
Current State: 48:[8, 50], Operations: ['13-11=2', '52-2=50']
Exploring Operation: 8+50=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 8*50=400, Resulting Numbers: [400]
400,48 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[2, 44], Operations: ['13-11=2', '52-8=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 2*44=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[52, 6], Operations: ['13-11=2', '8-2=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 52-6=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Exploring Operation: 52*6=312, Resulting Numbers: [312]
312,48 unequal: No Solution
Moving to Node #0,0,3
Current State: 48:[52, 16], Operations: ['13-11=2', '8*2=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,48 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[8, 52, 24], Operations: ['13+11=24']
Exploring Operation: 52-8=44, Resulting Numbers: [24, 44]
Generated Node #0,2,0: 48:[24, 44] Operation: 52-8=44
Exploring Operation: 24/8=3, Resulting Numbers: [52, 3]
Generated Node #0,2,1: 48:[52, 3] Operation: 24/8=3
Exploring Operation: 8+52=60, Resulting Numbers: [24, 60]
Generated Node #0,2,2: 48:[24, 60] Operation: 8+52=60
Exploring Operation: 52-24=28, Resulting Numbers: [8, 28]
Generated Node #0,2,3: 48:[8, 28] Operation: 52-24=28
Exploring Operation: 24-8=16, Resulting Numbers: [52, 16]
Generated Node #0,2,4: 48:[52, 16] Operation: 24-8=16
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 48:[24, 44], Operations: ['13+11=24', '52-8=44']
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,48 unequal: No Solution
No 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: 48:[52, 3], Operations: ['13+11=24', '24/8=3']
Exploring Operation: 52*3=156, Resulting Numbers: [156]
156,48 unequal: No Solution
Exploring Operation: 52+3=55, Resulting Numbers: [55]
55,48 unequal: No Solution
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,48 unequal: No Solution
No 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: 48:[8, 28], Operations: ['13+11=24', '52-24=28']
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 8*28=224, Resulting Numbers: [224]
224,48 unequal: No Solution
Exploring Operation: 8+28=36, Resulting Numbers: [36]
36,48 unequal: No Solution
No 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: 48:[52, 16], Operations: ['13+11=24', '24-8=16']
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,48 unequal: No Solution
No 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: 48:[24, 60], Operations: ['13+11=24', '8+52=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,48 unequal: No Solution
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,48 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: 48:[52, 13, 3], Operations: ['11-8=3']
Exploring Operation: 52+3=55, Resulting Numbers: [13, 55]
Generated Node #0,4,0: 48:[13, 55] Operation: 52+3=55
Exploring Operation: 52/13=4, Resulting Numbers: [3, 4]
Generated Node #0,4,1: 48:[3, 4] Operation: 52/13=4
Exploring Operation: 13+3=16, Resulting Numbers: [52, 16]
Generated Node #0,4,2: 48:[52, 16] Operation: 13+3=16
Exploring Operation: 52-3=49, Resulting Numbers: [13, 49]
Generated Node #0,4,3: 48:[13, 49] Operation: 52-3=49
Exploring Operation: 13-3=10, Resulting Numbers: [52, 10]
Generated Node #0,4,4: 48:[52, 10] Operation: 13-3=10
Moving to Node #0,4,1
Current State: 48:[3, 4], Operations: ['11-8=3', '52/13=4']
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,48 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,48 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,48 unequal: No Solution
Moving to Node #0,4,3
Current State: 48:[13, 49], Operations: ['11-8=3', '52-3=49']
Exploring Operation: 13+49=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 13*49=637, Resulting Numbers: [637]
637,48 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Moving to Node #0,4,2
Current State: 48:[52, 16], Operations: ['11-8=3', '13+3=16']
Exploring Operation: 52*16=832, Resulting Numbers: [832]
832,48 unequal: No Solution
Exploring Operation: 52+16=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 52-16=36, Resulting Numbers: [36]
36,48 unequal: No Solution
Moving to Node #0,4,4
Current State: 48:[52, 10], Operations: ['11-8=3', '13-3=10']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,48 unequal: No Solution
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,48 unequal: No Solution
Moving to Node #0,4,0
Current State: 48:[13, 55], Operations: ['11-8=3', '52+3=55']
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,48 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[13, 11, 44], Operations: ['52-8=44']
Exploring Operation: 44/11=4, Resulting Numbers: [13, 4]
Generated Node #0,3,0: 48:[13, 4] Operation: 44/11=4
Exploring Operation: 44-13=31, Resulting Numbers: [11, 31]
Generated Node #0,3,1: 48:[11, 31] Operation: 44-13=31
Exploring Operation: 13-11=2, Resulting Numbers: [44, 2]
Generated Node #0,3,2: 48:[44, 2] Operation: 13-11=2
Exploring Operation: 11+44=55, Resulting Numbers: [13, 55]
Generated Node #0,3,3: 48:[13, 55] Operation: 11+44=55
Exploring Operation: 13+11=24, Resulting Numbers: [44, 24]
Generated Node #0,3,4: 48:[44, 24] Operation: 13+11=24
Moving to Node #0,3,0
Current State: 48:[13, 4], Operations: ['52-8=44', '44/11=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,48 unequal: No Solution
Exploring Operation: 13+4=17, Resulting Numbers: [17]
17,48 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Moving to Node #0,3,4
Current State: 48:[44, 24], Operations: ['52-8=44', '13+11=24']
Exploring Operation: 44*24=1056, Resulting Numbers: [1056]
1056,48 unequal: No Solution
Exploring Operation: 44+24=68, Resulting Numbers: [68]
68,48 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Moving to Node #0,3,2
Current State: 48:[44, 2], Operations: ['52-8=44', '13-11=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,48 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,48 unequal: No Solution
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,48 unequal: No Solution
Moving to Node #0,3,1
Current State: 48:[11, 31], Operations: ['52-8=44', '44-13=31']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,48 unequal: No Solution
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 11*31=341, Resulting Numbers: [341]
341,48 unequal: No Solution
Moving to Node #0,3,3
Current State: 48:[13, 55], Operations: ['52-8=44', '11+44=55']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,48 unequal: No Solution
Exploring Operation: 13*55=715, Resulting Numbers: [715]
715,48 unequal: No Solution
Exploring Operation: 13+55=68, Resulting Numbers: [68]
68,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
71,
72,
51,
5
] | 57 | [
"72-71=1",
"51+5=56",
"1+56=57"
] | Current State: 57:[71, 72, 51, 5], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [51, 5, 1]
Generated Node #2: [51, 5, 1] from Operation: 72-71=1
Current State: 57:[51, 5, 1], Operations: ['72-71=1']
Exploring Operation: 51+5=56, Resulting Numbers: [1, 56]
Generated Node #3: [1, 56] from Operation: 51+5=56
Current State: 57:[1, 56], Operations: ['72-71=1', '51+5=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[71, 72, 51, 5], Operations: []
Exploring Operation: 71-51=20, Resulting Numbers: [72, 5, 20]
Generated Node #0,0: 57:[72, 5, 20] Operation: 71-51=20
Exploring Operation: 72-71=1, Resulting Numbers: [51, 5, 1]
Generated Node #0,1: 57:[51, 5, 1] Operation: 72-71=1
Moving to Node #0,1
Current State: 57:[51, 5, 1], Operations: ['72-71=1']
Exploring Operation: 51+5=56, Resulting Numbers: [1, 56]
Generated Node #0,1,0: 57:[1, 56] Operation: 51+5=56
Exploring Operation: 51+1=52, Resulting Numbers: [5, 52]
Generated Node #0,1,1: 57:[5, 52] Operation: 51+1=52
Moving to Node #0,0
Current State: 57:[72, 5, 20], Operations: ['71-51=20']
Exploring Operation: 72-5=67, Resulting Numbers: [20, 67]
Generated Node #0,0,0: 57:[20, 67] Operation: 72-5=67
Exploring Operation: 72-20=52, Resulting Numbers: [5, 52]
Generated Node #0,0,1: 57:[5, 52] Operation: 72-20=52
Moving to Node #0,1,0
Current State: 57:[1, 56], Operations: ['72-71=1', '51+5=56']
Exploring Operation: 1*56=56, Resulting Numbers: [56]
56,57 unequal: No Solution
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Moving to Node #0
Current State: 57:[71, 72, 51, 5], Operations: []
Exploring Operation: 72-71=1, Resulting Numbers: [51, 5, 1]
Generated Node #0,1: 57:[51, 5, 1] Operation: 72-71=1
Moving to Node #0,1
Current State: 57:[51, 5, 1], Operations: ['72-71=1']
Exploring Operation: 51+5=56, Resulting Numbers: [1, 56]
Generated Node #0,1,0: 57:[1, 56] Operation: 51+5=56
Moving to Node #0,1,0
Current State: 57:[1, 56], Operations: ['72-71=1', '51+5=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 0.989583 | hs_2 | sum_heuristic |
[
33,
13,
86,
64
] | 67 | [
"13+86=99",
"99/33=3",
"64+3=67"
] | Current State: 67:[33, 13, 86, 64], Operations: []
Exploring Operation: 13+86=99, Resulting Numbers: [33, 64, 99]
Generated Node #2: [33, 64, 99] from Operation: 13+86=99
Current State: 67:[33, 64, 99], Operations: ['13+86=99']
Exploring Operation: 99/33=3, Resulting Numbers: [64, 3]
Generated Node #3: [64, 3] from Operation: 99/33=3
Current State: 67:[64, 3], Operations: ['13+86=99', '99/33=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[33, 13, 86, 64], Operations: []
Exploring Operation: 33+13=46, Resulting Numbers: [86, 64, 46]
Generated Node #0,0: 67:[86, 64, 46] Operation: 33+13=46
Exploring Operation: 86-13=73, Resulting Numbers: [33, 64, 73]
Generated Node #0,1: 67:[33, 64, 73] Operation: 86-13=73
Moving to Node #0,0
Current State: 67:[86, 64, 46], Operations: ['33+13=46']
Exploring Operation: 86-46=40, Resulting Numbers: [64, 40]
Generated Node #0,0,0: 67:[64, 40] Operation: 86-46=40
Exploring Operation: 64+46=110, Resulting Numbers: [86, 110]
Generated Node #0,0,1: 67:[86, 110] Operation: 64+46=110
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 67:[64, 40], Operations: ['33+13=46', '86-46=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 67:[86, 110], Operations: ['33+13=46', '64+46=110']
Exploring Operation: 86+110=196, Resulting Numbers: [196]
196,67 unequal: No Solution
Exploring Operation: 110-86=24, Resulting Numbers: [24]
24,67 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: 67:[33, 64, 73], Operations: ['86-13=73']
Exploring Operation: 33+64=97, Resulting Numbers: [73, 97]
Generated Node #0,1,0: 67:[73, 97] Operation: 33+64=97
Exploring Operation: 73-33=40, Resulting Numbers: [64, 40]
Generated Node #0,1,1: 67:[64, 40] Operation: 73-33=40
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 67:[64, 40], Operations: ['86-13=73', '73-33=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,67 unequal: No Solution
Exploring Operation: 64+40=104, Resulting Numbers: [104]
104,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 67:[73, 97], Operations: ['86-13=73', '33+64=97']
Exploring Operation: 73+97=170, Resulting Numbers: [170]
170,67 unequal: No Solution
Exploring Operation: 97-73=24, Resulting Numbers: [24]
24,67 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 |
[
46,
85,
36,
23
] | 13 | [
"46*36=1656",
"1656/23=72",
"85-72=13"
] | Current State: 13:[46, 85, 36, 23], Operations: []
Exploring Operation: 46*36=1656, Resulting Numbers: [85, 23, 1656]
Generated Node #2: [85, 23, 1656] from Operation: 46*36=1656
Current State: 13:[85, 23, 1656], Operations: ['46*36=1656']
Exploring Operation: 1656/23=72, Resulting Numbers: [85, 72]
Generated Node #3: [85, 72] from Operation: 1656/23=72
Current State: 13:[85, 72], Operations: ['46*36=1656', '1656/23=72']
Exploring Operation: 85-72=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[46, 85, 36, 23], Operations: []
Exploring Operation: 85-46=39, Resulting Numbers: [36, 23, 39]
Generated Node #0,0: 13:[36, 23, 39] Operation: 85-46=39
Moving to Node #0,0
Current State: 13:[36, 23, 39], Operations: ['85-46=39']
Exploring Operation: 39-36=3, Resulting Numbers: [23, 3]
Generated Node #0,0,0: 13:[23, 3] Operation: 39-36=3
Moving to Node #0,0,0
Current State: 13:[23, 3], Operations: ['85-46=39', '39-36=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,13 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
18,
52,
80,
98
] | 16 | [
"52-18=34",
"98-80=18",
"34-18=16"
] | Current State: 16:[18, 52, 80, 98], Operations: []
Exploring Operation: 52-18=34, Resulting Numbers: [80, 98, 34]
Generated Node #2: [80, 98, 34] from Operation: 52-18=34
Current State: 16:[80, 98, 34], Operations: ['52-18=34']
Exploring Operation: 98-80=18, Resulting Numbers: [34, 18]
Generated Node #3: [34, 18] from Operation: 98-80=18
Current State: 16:[34, 18], Operations: ['52-18=34', '98-80=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[18, 52, 80, 98], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [18, 52, 18]
Generated Node #0,0: 16:[18, 52, 18] Operation: 98-80=18
Exploring Operation: 80-52=28, Resulting Numbers: [18, 98, 28]
Generated Node #0,1: 16:[18, 98, 28] Operation: 80-52=28
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[18, 52, 18], Operations: ['98-80=18']
Exploring Operation: 52-18=34, Resulting Numbers: [18, 34]
Generated Node #0,0,0: 16:[18, 34] Operation: 52-18=34
Exploring Operation: 52-18=34, Resulting Numbers: [18, 34]
Generated Node #0,0,1: 16:[18, 34] Operation: 52-18=34
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[18, 34], Operations: ['98-80=18', '52-18=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[18, 52, 80, 98], Operations: []
Exploring Operation: 98-80=18, Resulting Numbers: [18, 52, 18]
Generated Node #0,0: 16:[18, 52, 18] Operation: 98-80=18
Moving to Node #0,0
Current State: 16:[18, 52, 18], Operations: ['98-80=18']
Exploring Operation: 52-18=34, Resulting Numbers: [18, 34]
Generated Node #0,0,0: 16:[18, 34] Operation: 52-18=34
Moving to Node #0,0,0
Current State: 16:[18, 34], Operations: ['98-80=18', '52-18=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
56,
26,
74,
80
] | 16 | [
"56+74=130",
"26*80=2080",
"2080/130=16"
] | Current State: 16:[56, 26, 74, 80], Operations: []
Exploring Operation: 56+74=130, Resulting Numbers: [26, 80, 130]
Generated Node #2: [26, 80, 130] from Operation: 56+74=130
Current State: 16:[26, 80, 130], Operations: ['56+74=130']
Exploring Operation: 26*80=2080, Resulting Numbers: [130, 2080]
Generated Node #3: [130, 2080] from Operation: 26*80=2080
Current State: 16:[130, 2080], Operations: ['56+74=130', '26*80=2080']
Exploring Operation: 2080/130=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[56, 26, 74, 80], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [74, 80, 30]
Generated Node #0,0: 16:[74, 80, 30] Operation: 56-26=30
Exploring Operation: 80-56=24, Resulting Numbers: [26, 74, 24]
Generated Node #0,1: 16:[26, 74, 24] Operation: 80-56=24
Exploring Operation: 74-56=18, Resulting Numbers: [26, 80, 18]
Generated Node #0,2: 16:[26, 80, 18] Operation: 74-56=18
Exploring Operation: 80-74=6, Resulting Numbers: [56, 26, 6]
Generated Node #0,3: 16:[56, 26, 6] Operation: 80-74=6
Start Sub Search at level 1: Moving to Node #0,3
Current State: 16:[56, 26, 6], Operations: ['80-74=6']
Exploring Operation: 56-26=30, Resulting Numbers: [6, 30]
Generated Node #0,3,0: 16:[6, 30] Operation: 56-26=30
Exploring Operation: 56+6=62, Resulting Numbers: [26, 62]
Generated Node #0,3,1: 16:[26, 62] Operation: 56+6=62
Exploring Operation: 56-6=50, Resulting Numbers: [26, 50]
Generated Node #0,3,2: 16:[26, 50] Operation: 56-6=50
Exploring Operation: 26-6=20, Resulting Numbers: [56, 20]
Generated Node #0,3,3: 16:[56, 20] Operation: 26-6=20
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 16:[6, 30], Operations: ['80-74=6', '56-26=30']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,16 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 6+30=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 6*30=180, Resulting Numbers: [180]
180,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 16:[26, 50], Operations: ['80-74=6', '56-6=50']
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,16 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 16:[56, 20], Operations: ['80-74=6', '26-6=20']
Exploring Operation: 56+20=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 56*20=1120, Resulting Numbers: [1120]
1120,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 16:[26, 62], Operations: ['80-74=6', '56+6=62']
Exploring Operation: 26+62=88, Resulting Numbers: [88]
88,16 unequal: No Solution
Exploring Operation: 26*62=1612, Resulting Numbers: [1612]
1612,16 unequal: No Solution
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[26, 74, 24], Operations: ['80-56=24']
Exploring Operation: 26-24=2, Resulting Numbers: [74, 2]
Generated Node #0,1,0: 16:[74, 2] Operation: 26-24=2
Exploring Operation: 74-24=50, Resulting Numbers: [26, 50]
Generated Node #0,1,1: 16:[26, 50] Operation: 74-24=50
Exploring Operation: 74-26=48, Resulting Numbers: [24, 48]
Generated Node #0,1,2: 16:[24, 48] Operation: 74-26=48
Exploring Operation: 26+74=100, Resulting Numbers: [24, 100]
Generated Node #0,1,3: 16:[24, 100] Operation: 26+74=100
Moving to Node #0,1,2
Current State: 16:[24, 48], Operations: ['80-56=24', '74-26=48']
Exploring Operation: 48-24=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 24*48=1152, Resulting Numbers: [1152]
1152,16 unequal: No Solution
Exploring Operation: 48/24=2, Resulting Numbers: [2]
2,16 unequal: No Solution
Exploring Operation: 24+48=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,1,1
Current State: 16:[26, 50], Operations: ['80-56=24', '74-24=50']
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,16 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[74, 2], Operations: ['80-56=24', '26-24=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 74*2=148, Resulting Numbers: [148]
148,16 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Moving to Node #0,1,3
Current State: 16:[24, 100], Operations: ['80-56=24', '26+74=100']
Exploring Operation: 100-24=76, Resulting Numbers: [76]
76,16 unequal: No Solution
Exploring Operation: 24+100=124, Resulting Numbers: [124]
124,16 unequal: No Solution
Exploring Operation: 24*100=2400, Resulting Numbers: [2400]
2400,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 16:[26, 80, 18], Operations: ['74-56=18']
Exploring Operation: 80-18=62, Resulting Numbers: [26, 62]
Generated Node #0,2,0: 16:[26, 62] Operation: 80-18=62
Exploring Operation: 26+80=106, Resulting Numbers: [18, 106]
Generated Node #0,2,1: 16:[18, 106] Operation: 26+80=106
Exploring Operation: 80-26=54, Resulting Numbers: [18, 54]
Generated Node #0,2,2: 16:[18, 54] Operation: 80-26=54
Exploring Operation: 26-18=8, Resulting Numbers: [80, 8]
Generated Node #0,2,3: 16:[80, 8] Operation: 26-18=8
Moving to Node #0,2,2
Current State: 16:[18, 54], Operations: ['74-56=18', '80-26=54']
Exploring Operation: 54/18=3, Resulting Numbers: [3]
3,16 unequal: No Solution
Exploring Operation: 18*54=972, Resulting Numbers: [972]
972,16 unequal: No Solution
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Exploring Operation: 54-18=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Moving to Node #0,2,0
Current State: 16:[26, 62], Operations: ['74-56=18', '80-18=62']
Exploring Operation: 26*62=1612, Resulting Numbers: [1612]
1612,16 unequal: No Solution
Exploring Operation: 26+62=88, Resulting Numbers: [88]
88,16 unequal: No Solution
Exploring Operation: 62-26=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Moving to Node #0,2,3
Current State: 16:[80, 8], Operations: ['74-56=18', '26-18=8']
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,16 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,16 unequal: No Solution
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,16 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,16 unequal: No Solution
Moving to Node #0,2,1
Current State: 16:[18, 106], Operations: ['74-56=18', '26+80=106']
Exploring Operation: 18+106=124, Resulting Numbers: [124]
124,16 unequal: No Solution
Exploring Operation: 18*106=1908, Resulting Numbers: [1908]
1908,16 unequal: No Solution
Exploring Operation: 106-18=88, Resulting Numbers: [88]
88,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[74, 80, 30], Operations: ['56-26=30']
Exploring Operation: 74+80=154, Resulting Numbers: [30, 154]
Generated Node #0,0,0: 16:[30, 154] Operation: 74+80=154
Exploring Operation: 80-74=6, Resulting Numbers: [30, 6]
Generated Node #0,0,1: 16:[30, 6] Operation: 80-74=6
Exploring Operation: 74-30=44, Resulting Numbers: [80, 44]
Generated Node #0,0,2: 16:[80, 44] Operation: 74-30=44
Exploring Operation: 80-30=50, Resulting Numbers: [74, 50]
Generated Node #0,0,3: 16:[74, 50] Operation: 80-30=50
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 16:[30, 6], Operations: ['56-26=30', '80-74=6']
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 30*6=180, Resulting Numbers: [180]
180,16 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 16:[80, 44], Operations: ['56-26=30', '74-30=44']
Exploring Operation: 80+44=124, Resulting Numbers: [124]
124,16 unequal: No Solution
Exploring Operation: 80-44=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 80*44=3520, Resulting Numbers: [3520]
3520,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 16:[74, 50], Operations: ['56-26=30', '80-30=50']
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,16 unequal: No Solution
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,16 unequal: No Solution
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[30, 154], Operations: ['56-26=30', '74+80=154']
Exploring Operation: 154-30=124, Resulting Numbers: [124]
124,16 unequal: No Solution
Exploring Operation: 30+154=184, Resulting Numbers: [184]
184,16 unequal: No Solution
Exploring Operation: 30*154=4620, Resulting Numbers: [4620]
4620,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
58,
62,
62,
46
] | 11 | [
"58-46=12",
"62/62=1",
"12-1=11"
] | Current State: 11:[58, 62, 62, 46], Operations: []
Exploring Operation: 58-46=12, Resulting Numbers: [62, 62, 12]
Generated Node #2: [62, 62, 12] from Operation: 58-46=12
Current State: 11:[62, 62, 12], Operations: ['58-46=12']
Exploring Operation: 62/62=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 62/62=1
Current State: 11:[12, 1], Operations: ['58-46=12', '62/62=1']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[58, 62, 62, 46], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [58, 46, 1]
Generated Node #0,0: 11:[58, 46, 1] Operation: 62/62=1
Moving to Node #0,0
Current State: 11:[58, 46, 1], Operations: ['62/62=1']
Exploring Operation: 58-46=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 11:[1, 12] Operation: 58-46=12
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[1, 12], Operations: ['62/62=1', '58-46=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[58, 62, 62, 46], Operations: []
Exploring Operation: 62/62=1, Resulting Numbers: [58, 46, 1]
Generated Node #0,0: 11:[58, 46, 1] Operation: 62/62=1
Moving to Node #0,0
Current State: 11:[58, 46, 1], Operations: ['62/62=1']
Exploring Operation: 58-46=12, Resulting Numbers: [1, 12]
Generated Node #0,0,0: 11:[1, 12] Operation: 58-46=12
Moving to Node #0,0,0
Current State: 11:[1, 12], Operations: ['62/62=1', '58-46=12']
Exploring Operation: 12-1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
26,
56,
8,
19
] | 41 | [
"56-26=30",
"19-8=11",
"30+11=41"
] | Current State: 41:[26, 56, 8, 19], Operations: []
Exploring Operation: 56-26=30, Resulting Numbers: [8, 19, 30]
Generated Node #2: [8, 19, 30] from Operation: 56-26=30
Current State: 41:[8, 19, 30], Operations: ['56-26=30']
Exploring Operation: 19-8=11, Resulting Numbers: [30, 11]
Generated Node #3: [30, 11] from Operation: 19-8=11
Current State: 41:[30, 11], Operations: ['56-26=30', '19-8=11']
Exploring Operation: 30+11=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[26, 56, 8, 19], Operations: []
Exploring Operation: 56-8=48, Resulting Numbers: [26, 19, 48]
Generated Node #0,0: 41:[26, 19, 48] Operation: 56-8=48
Exploring Operation: 26+8=34, Resulting Numbers: [56, 19, 34]
Generated Node #0,1: 41:[56, 19, 34] Operation: 26+8=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[26, 19, 48], Operations: ['56-8=48']
Exploring Operation: 26+19=45, Resulting Numbers: [48, 45]
Generated Node #0,0,0: 41:[48, 45] Operation: 26+19=45
Exploring Operation: 48-19=29, Resulting Numbers: [26, 29]
Generated Node #0,0,1: 41:[26, 29] Operation: 48-19=29
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[48, 45], Operations: ['56-8=48', '26+19=45']
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,41 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[26, 29], Operations: ['56-8=48', '48-19=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[56, 19, 34], Operations: ['26+8=34']
Exploring Operation: 19+34=53, Resulting Numbers: [56, 53]
Generated Node #0,1,0: 41:[56, 53] Operation: 19+34=53
Exploring Operation: 56-19=37, Resulting Numbers: [34, 37]
Generated Node #0,1,1: 41:[34, 37] Operation: 56-19=37
Moving to Node #0,1,1
Current State: 41:[34, 37], Operations: ['26+8=34', '56-19=37']
Exploring Operation: 37-34=3, Resulting Numbers: [3]
3,41 unequal: No Solution
Exploring Operation: 34+37=71, Resulting Numbers: [71]
71,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[56, 53], Operations: ['26+8=34', '19+34=53']
Exploring Operation: 56+53=109, Resulting Numbers: [109]
109,41 unequal: No Solution
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,41 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 |
[
89,
69,
39,
8
] | 51 | [
"89-69=20",
"39-8=31",
"20+31=51"
] | Current State: 51:[89, 69, 39, 8], Operations: []
Exploring Operation: 89-69=20, Resulting Numbers: [39, 8, 20]
Generated Node #2: [39, 8, 20] from Operation: 89-69=20
Current State: 51:[39, 8, 20], Operations: ['89-69=20']
Exploring Operation: 39-8=31, Resulting Numbers: [20, 31]
Generated Node #3: [20, 31] from Operation: 39-8=31
Current State: 51:[20, 31], Operations: ['89-69=20', '39-8=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[89, 69, 39, 8], Operations: []
Exploring Operation: 89-39=50, Resulting Numbers: [69, 8, 50]
Generated Node #0,0: 51:[69, 8, 50] Operation: 89-39=50
Exploring Operation: 69-39=30, Resulting Numbers: [89, 8, 30]
Generated Node #0,1: 51:[89, 8, 30] Operation: 69-39=30
Exploring Operation: 89-69=20, Resulting Numbers: [39, 8, 20]
Generated Node #0,2: 51:[39, 8, 20] Operation: 89-69=20
Moving to Node #0,2
Current State: 51:[39, 8, 20], Operations: ['89-69=20']
Exploring Operation: 39-20=19, Resulting Numbers: [8, 19]
Generated Node #0,2,0: 51:[8, 19] Operation: 39-20=19
Exploring Operation: 39+8=47, Resulting Numbers: [20, 47]
Generated Node #0,2,1: 51:[20, 47] Operation: 39+8=47
Exploring Operation: 39+20=59, Resulting Numbers: [8, 59]
Generated Node #0,2,2: 51:[8, 59] Operation: 39+20=59
Moving to Node #0,0
Current State: 51:[69, 8, 50], Operations: ['89-39=50']
Exploring Operation: 69-8=61, Resulting Numbers: [50, 61]
Generated Node #0,0,0: 51:[50, 61] Operation: 69-8=61
Exploring Operation: 69-50=19, Resulting Numbers: [8, 19]
Generated Node #0,0,1: 51:[8, 19] Operation: 69-50=19
Exploring Operation: 8+50=58, Resulting Numbers: [69, 58]
Generated Node #0,0,2: 51:[69, 58] Operation: 8+50=58
Moving to Node #0,1
Current State: 51:[89, 8, 30], Operations: ['69-39=30']
Exploring Operation: 89-8=81, Resulting Numbers: [30, 81]
Generated Node #0,1,0: 51:[30, 81] Operation: 89-8=81
Exploring Operation: 89-30=59, Resulting Numbers: [8, 59]
Generated Node #0,1,1: 51:[8, 59] Operation: 89-30=59
Exploring Operation: 30-8=22, Resulting Numbers: [89, 22]
Generated Node #0,1,2: 51:[89, 22] Operation: 30-8=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 51:[8, 59], Operations: ['69-39=30', '89-30=59']
Exploring Operation: 8+59=67, Resulting Numbers: [67]
67,51 unequal: No Solution
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[89, 69, 39, 8], Operations: []
Exploring Operation: 69-39=30, Resulting Numbers: [89, 8, 30]
Generated Node #0,1: 51:[89, 8, 30] Operation: 69-39=30
Moving to Node #0,1
Current State: 51:[89, 8, 30], Operations: ['69-39=30']
Exploring Operation: 89-30=59, Resulting Numbers: [8, 59]
Generated Node #0,1,1: 51:[8, 59] Operation: 89-30=59
Moving to Node #0,1,1
Current State: 51:[8, 59], Operations: ['69-39=30', '89-30=59']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_3 | mult_heuristic |
[
55,
17,
76,
70
] | 32 | [
"55-17=38",
"76-70=6",
"38-6=32"
] | Current State: 32:[55, 17, 76, 70], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [76, 70, 38]
Generated Node #2: [76, 70, 38] from Operation: 55-17=38
Current State: 32:[76, 70, 38], Operations: ['55-17=38']
Exploring Operation: 76-70=6, Resulting Numbers: [38, 6]
Generated Node #3: [38, 6] from Operation: 76-70=6
Current State: 32:[38, 6], Operations: ['55-17=38', '76-70=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[55, 17, 76, 70], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [17, 76, 15]
Generated Node #0,0: 32:[17, 76, 15] Operation: 70-55=15
Exploring Operation: 76-70=6, Resulting Numbers: [55, 17, 6]
Generated Node #0,1: 32:[55, 17, 6] Operation: 76-70=6
Exploring Operation: 55-17=38, Resulting Numbers: [76, 70, 38]
Generated Node #0,2: 32:[76, 70, 38] Operation: 55-17=38
Exploring Operation: 76-55=21, Resulting Numbers: [17, 70, 21]
Generated Node #0,3: 32:[17, 70, 21] Operation: 76-55=21
Exploring Operation: 76-17=59, Resulting Numbers: [55, 70, 59]
Generated Node #0,4: 32:[55, 70, 59] Operation: 76-17=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[55, 17, 6], Operations: ['76-70=6']
Exploring Operation: 17+6=23, Resulting Numbers: [55, 23]
Generated Node #0,1,0: 32:[55, 23] Operation: 17+6=23
Exploring Operation: 55-6=49, Resulting Numbers: [17, 49]
Generated Node #0,1,1: 32:[17, 49] Operation: 55-6=49
Exploring Operation: 55+6=61, Resulting Numbers: [17, 61]
Generated Node #0,1,2: 32:[17, 61] Operation: 55+6=61
Exploring Operation: 17-6=11, Resulting Numbers: [55, 11]
Generated Node #0,1,3: 32:[55, 11] Operation: 17-6=11
Exploring Operation: 55-17=38, Resulting Numbers: [6, 38]
Generated Node #0,1,4: 32:[6, 38] Operation: 55-17=38
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 32:[6, 38], Operations: ['76-70=6', '55-17=38']
Exploring Operation: 6*38=228, Resulting Numbers: [228]
228,32 unequal: No Solution
Exploring Operation: 6+38=44, Resulting Numbers: [44]
44,32 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[55, 17, 76, 70], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [55, 17, 6]
Generated Node #0,1: 32:[55, 17, 6] Operation: 76-70=6
Moving to Node #0,1
Current State: 32:[55, 17, 6], Operations: ['76-70=6']
Exploring Operation: 55-17=38, Resulting Numbers: [6, 38]
Generated Node #0,1,4: 32:[6, 38] Operation: 55-17=38
Moving to Node #0,1,4
Current State: 32:[6, 38], Operations: ['76-70=6', '55-17=38']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
45,
87,
2,
15
] | 51 | [
"45+87=132",
"132/2=66",
"66-15=51"
] | Current State: 51:[45, 87, 2, 15], Operations: []
Exploring Operation: 45+87=132, Resulting Numbers: [2, 15, 132]
Generated Node #2: [2, 15, 132] from Operation: 45+87=132
Current State: 51:[2, 15, 132], Operations: ['45+87=132']
Exploring Operation: 132/2=66, Resulting Numbers: [15, 66]
Generated Node #3: [15, 66] from Operation: 132/2=66
Current State: 51:[15, 66], Operations: ['45+87=132', '132/2=66']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[45, 87, 2, 15], Operations: []
Exploring Operation: 87-45=42, Resulting Numbers: [2, 15, 42]
Generated Node #0,0: 51:[2, 15, 42] Operation: 87-45=42
Moving to Node #0,0
Current State: 51:[2, 15, 42], Operations: ['87-45=42']
Exploring Operation: 42/2=21, Resulting Numbers: [15, 21]
Generated Node #0,0,0: 51:[15, 21] Operation: 42/2=21
Moving to Node #0,0,0
Current State: 51:[15, 21], Operations: ['87-45=42', '42/2=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,51 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
86,
26,
55
] | 25 | [
"86-26=60",
"60/2=30",
"55-30=25"
] | Current State: 25:[2, 86, 26, 55], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [2, 55, 60]
Generated Node #2: [2, 55, 60] from Operation: 86-26=60
Current State: 25:[2, 55, 60], Operations: ['86-26=60']
Exploring Operation: 60/2=30, Resulting Numbers: [55, 30]
Generated Node #3: [55, 30] from Operation: 60/2=30
Current State: 25:[55, 30], Operations: ['86-26=60', '60/2=30']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[2, 86, 26, 55], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [2, 55, 60]
Generated Node #0,0: 25:[2, 55, 60] Operation: 86-26=60
Exploring Operation: 86-2=84, Resulting Numbers: [26, 55, 84]
Generated Node #0,1: 25:[26, 55, 84] Operation: 86-2=84
Exploring Operation: 86-55=31, Resulting Numbers: [2, 26, 31]
Generated Node #0,2: 25:[2, 26, 31] Operation: 86-55=31
Exploring Operation: 86/2=43, Resulting Numbers: [26, 55, 43]
Generated Node #0,3: 25:[26, 55, 43] Operation: 86/2=43
Exploring Operation: 55-26=29, Resulting Numbers: [2, 86, 29]
Generated Node #0,4: 25:[2, 86, 29] Operation: 55-26=29
Moving to Node #0,2
Current State: 25:[2, 26, 31], Operations: ['86-55=31']
Exploring Operation: 31-2=29, Resulting Numbers: [26, 29]
Generated Node #0,2,0: 25:[26, 29] Operation: 31-2=29
Exploring Operation: 26-2=24, Resulting Numbers: [31, 24]
Generated Node #0,2,1: 25:[31, 24] Operation: 26-2=24
Exploring Operation: 2+26=28, Resulting Numbers: [31, 28]
Generated Node #0,2,2: 25:[31, 28] Operation: 2+26=28
Exploring Operation: 2+31=33, Resulting Numbers: [26, 33]
Generated Node #0,2,3: 25:[26, 33] Operation: 2+31=33
Exploring Operation: 31-26=5, Resulting Numbers: [2, 5]
Generated Node #0,2,4: 25:[2, 5] Operation: 31-26=5
Moving to Node #0,3
Current State: 25:[26, 55, 43], Operations: ['86/2=43']
Exploring Operation: 26+55=81, Resulting Numbers: [43, 81]
Generated Node #0,3,0: 25:[43, 81] Operation: 26+55=81
Exploring Operation: 43-26=17, Resulting Numbers: [55, 17]
Generated Node #0,3,1: 25:[55, 17] Operation: 43-26=17
Exploring Operation: 26+43=69, Resulting Numbers: [55, 69]
Generated Node #0,3,2: 25:[55, 69] Operation: 26+43=69
Exploring Operation: 55-43=12, Resulting Numbers: [26, 12]
Generated Node #0,3,3: 25:[26, 12] Operation: 55-43=12
Exploring Operation: 55-26=29, Resulting Numbers: [43, 29]
Generated Node #0,3,4: 25:[43, 29] Operation: 55-26=29
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[26, 12], Operations: ['86/2=43', '55-43=12']
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,25 unequal: No Solution
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,25 unequal: No Solution
No 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: 25:[43, 29], Operations: ['86/2=43', '55-26=29']
Exploring Operation: 43+29=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 43*29=1247, Resulting Numbers: [1247]
1247,25 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,25 unequal: No Solution
No 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: 25:[55, 17], Operations: ['86/2=43', '43-26=17']
Exploring Operation: 55+17=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,25 unequal: No Solution
Exploring Operation: 55*17=935, Resulting Numbers: [935]
935,25 unequal: No Solution
No 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: 25:[43, 81], Operations: ['86/2=43', '26+55=81']
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,25 unequal: No Solution
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,25 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,25 unequal: No Solution
No 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: 25:[55, 69], Operations: ['86/2=43', '26+43=69']
Exploring Operation: 55*69=3795, Resulting Numbers: [3795]
3795,25 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 55+69=124, Resulting Numbers: [124]
124,25 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: 25:[2, 55, 60], Operations: ['86-26=60']
Exploring Operation: 2+55=57, Resulting Numbers: [60, 57]
Generated Node #0,0,0: 25:[60, 57] Operation: 2+55=57
Exploring Operation: 60-2=58, Resulting Numbers: [55, 58]
Generated Node #0,0,1: 25:[55, 58] Operation: 60-2=58
Exploring Operation: 60-55=5, Resulting Numbers: [2, 5]
Generated Node #0,0,2: 25:[2, 5] Operation: 60-55=5
Exploring Operation: 60/2=30, Resulting Numbers: [55, 30]
Generated Node #0,0,3: 25:[55, 30] Operation: 60/2=30
Exploring Operation: 55-2=53, Resulting Numbers: [60, 53]
Generated Node #0,0,4: 25:[60, 53] Operation: 55-2=53
Moving to Node #0,4
Current State: 25:[2, 86, 29], Operations: ['55-26=29']
Exploring Operation: 86/2=43, Resulting Numbers: [29, 43]
Generated Node #0,4,0: 25:[29, 43] Operation: 86/2=43
Exploring Operation: 29-2=27, Resulting Numbers: [86, 27]
Generated Node #0,4,1: 25:[86, 27] Operation: 29-2=27
Exploring Operation: 86-2=84, Resulting Numbers: [29, 84]
Generated Node #0,4,2: 25:[29, 84] Operation: 86-2=84
Exploring Operation: 86-29=57, Resulting Numbers: [2, 57]
Generated Node #0,4,3: 25:[2, 57] Operation: 86-29=57
Exploring Operation: 2+86=88, Resulting Numbers: [29, 88]
Generated Node #0,4,4: 25:[29, 88] Operation: 2+86=88
Moving to Node #0,1
Current State: 25:[26, 55, 84], Operations: ['86-2=84']
Exploring Operation: 84-26=58, Resulting Numbers: [55, 58]
Generated Node #0,1,0: 25:[55, 58] Operation: 84-26=58
Exploring Operation: 55-26=29, Resulting Numbers: [84, 29]
Generated Node #0,1,1: 25:[84, 29] Operation: 55-26=29
Exploring Operation: 26+84=110, Resulting Numbers: [55, 110]
Generated Node #0,1,2: 25:[55, 110] Operation: 26+84=110
Exploring Operation: 26+55=81, Resulting Numbers: [84, 81]
Generated Node #0,1,3: 25:[84, 81] Operation: 26+55=81
Exploring Operation: 84-55=29, Resulting Numbers: [26, 29]
Generated Node #0,1,4: 25:[26, 29] Operation: 84-55=29
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 25:[26, 29], Operations: ['86-2=84', '84-55=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,25 unequal: No Solution
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,25 unequal: No Solution
No 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: 25:[55, 58], Operations: ['86-2=84', '84-26=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,25 unequal: No Solution
Exploring Operation: 55*58=3190, Resulting Numbers: [3190]
3190,25 unequal: No Solution
No 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: 25:[84, 29], Operations: ['86-2=84', '55-26=29']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,25 unequal: No Solution
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,25 unequal: No Solution
No 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: 25:[55, 110], Operations: ['86-2=84', '26+84=110']
Exploring Operation: 55*110=6050, Resulting Numbers: [6050]
6050,25 unequal: No Solution
Exploring Operation: 55+110=165, Resulting Numbers: [165]
165,25 unequal: No Solution
Exploring Operation: 110/55=2, Resulting Numbers: [2]
2,25 unequal: No Solution
Exploring Operation: 110-55=55, Resulting Numbers: [55]
55,25 unequal: No Solution
No 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: 25:[84, 81], Operations: ['86-2=84', '26+55=81']
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 84*81=6804, Resulting Numbers: [6804]
6804,25 unequal: No Solution
Exploring Operation: 84+81=165, Resulting Numbers: [165]
165,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 25:[2, 5], Operations: ['86-55=31', '31-26=5']
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[2, 5], Operations: ['86-26=60', '60-55=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[26, 29], Operations: ['86-55=31', '31-2=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 26*29=754, Resulting Numbers: [754]
754,25 unequal: No Solution
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[31, 24], Operations: ['86-55=31', '26-2=24']
Exploring Operation: 31+24=55, Resulting Numbers: [55]
55,25 unequal: No Solution
Exploring Operation: 31*24=744, Resulting Numbers: [744]
744,25 unequal: No Solution
Exploring Operation: 31-24=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[26, 33], Operations: ['86-55=31', '2+31=33']
Exploring Operation: 26*33=858, Resulting Numbers: [858]
858,25 unequal: No Solution
Exploring Operation: 33-26=7, Resulting Numbers: [7]
7,25 unequal: No Solution
Exploring Operation: 26+33=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[31, 28], Operations: ['86-55=31', '2+26=28']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,25 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[29, 43], Operations: ['55-26=29', '86/2=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,25 unequal: No Solution
Moving to Node #0,0,3
Current State: 25:[55, 30], Operations: ['86-26=60', '60/2=30']
Exploring Operation: 55+30=85, Resulting Numbers: [85]
85,25 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[2, 86, 26, 55], Operations: []
Exploring Operation: 86-26=60, Resulting Numbers: [2, 55, 60]
Generated Node #0,0: 25:[2, 55, 60] Operation: 86-26=60
Moving to Node #0,0
Current State: 25:[2, 55, 60], Operations: ['86-26=60']
Exploring Operation: 60/2=30, Resulting Numbers: [55, 30]
Generated Node #0,0,3: 25:[55, 30] Operation: 60/2=30
Moving to Node #0,0,3
Current State: 25:[55, 30], Operations: ['86-26=60', '60/2=30']
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.923611 | hs_5 | mult_heuristic |
[
4,
97,
3,
1
] | 91 | [
"97-4=93",
"3-1=2",
"93-2=91"
] | Current State: 91:[4, 97, 3, 1], Operations: []
Exploring Operation: 97-4=93, Resulting Numbers: [3, 1, 93]
Generated Node #2: [3, 1, 93] from Operation: 97-4=93
Current State: 91:[3, 1, 93], Operations: ['97-4=93']
Exploring Operation: 3-1=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 3-1=2
Current State: 91:[93, 2], Operations: ['97-4=93', '3-1=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[4, 97, 3, 1], Operations: []
Exploring Operation: 97-3=94, Resulting Numbers: [4, 1, 94]
Generated Node #0,0: 91:[4, 1, 94] Operation: 97-3=94
Exploring Operation: 4+1=5, Resulting Numbers: [97, 3, 5]
Generated Node #0,1: 91:[97, 3, 5] Operation: 4+1=5
Exploring Operation: 4+3=7, Resulting Numbers: [97, 1, 7]
Generated Node #0,2: 91:[97, 1, 7] Operation: 4+3=7
Exploring Operation: 97-4=93, Resulting Numbers: [3, 1, 93]
Generated Node #0,3: 91:[3, 1, 93] Operation: 97-4=93
Exploring Operation: 97-1=96, Resulting Numbers: [4, 3, 96]
Generated Node #0,4: 91:[4, 3, 96] Operation: 97-1=96
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[4, 1, 94], Operations: ['97-3=94']
Exploring Operation: 1*94=94, Resulting Numbers: [4, 94]
Generated Node #0,0,0: 91:[4, 94] Operation: 1*94=94
Exploring Operation: 4*1=4, Resulting Numbers: [94, 4]
Generated Node #0,0,1: 91:[94, 4] Operation: 4*1=4
Exploring Operation: 94-1=93, Resulting Numbers: [4, 93]
Generated Node #0,0,2: 91:[4, 93] Operation: 94-1=93
Exploring Operation: 4+1=5, Resulting Numbers: [94, 5]
Generated Node #0,0,3: 91:[94, 5] Operation: 4+1=5
Exploring Operation: 4/1=4, Resulting Numbers: [94, 4]
Generated Node #0,0,4: 91:[94, 4] Operation: 4/1=4
Moving to Node #0,0,2
Current State: 91:[4, 93], Operations: ['97-3=94', '94-1=93']
Exploring Operation: 4*93=372, Resulting Numbers: [372]
372,91 unequal: No Solution
Exploring Operation: 4+93=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[94, 5], Operations: ['97-3=94', '4+1=5']
Exploring Operation: 94*5=470, Resulting Numbers: [470]
470,91 unequal: No Solution
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 94+5=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Moving to Node #0,0,0
Current State: 91:[4, 94], Operations: ['97-3=94', '1*94=94']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 4*94=376, Resulting Numbers: [376]
376,91 unequal: No Solution
Exploring Operation: 4+94=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Moving to Node #0,0,1
Current State: 91:[94, 4], Operations: ['97-3=94', '4*1=4']
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,91 unequal: No Solution
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Moving to Node #0,0,4
Current State: 91:[94, 4], Operations: ['97-3=94', '4/1=4']
Exploring Operation: 94+4=98, Resulting Numbers: [98]
98,91 unequal: No Solution
Exploring Operation: 94*4=376, Resulting Numbers: [376]
376,91 unequal: No Solution
Exploring Operation: 94-4=90, Resulting Numbers: [90]
90,91 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:[97, 3, 5], Operations: ['4+1=5']
Exploring Operation: 3*5=15, Resulting Numbers: [97, 15]
Generated Node #0,1,0: 91:[97, 15] Operation: 3*5=15
Exploring Operation: 97+3=100, Resulting Numbers: [5, 100]
Generated Node #0,1,1: 91:[5, 100] Operation: 97+3=100
Exploring Operation: 97-3=94, Resulting Numbers: [5, 94]
Generated Node #0,1,2: 91:[5, 94] Operation: 97-3=94
Exploring Operation: 3+5=8, Resulting Numbers: [97, 8]
Generated Node #0,1,3: 91:[97, 8] Operation: 3+5=8
Exploring Operation: 97-5=92, Resulting Numbers: [3, 92]
Generated Node #0,1,4: 91:[3, 92] Operation: 97-5=92
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 91:[5, 94], Operations: ['4+1=5', '97-3=94']
Exploring Operation: 5+94=99, Resulting Numbers: [99]
99,91 unequal: No Solution
Exploring Operation: 94-5=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 5*94=470, Resulting Numbers: [470]
470,91 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 #0,1,4
Current State: 91:[3, 92], Operations: ['4+1=5', '97-5=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 3*92=276, Resulting Numbers: [276]
276,91 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 #0,1,3
Current State: 91:[97, 8], Operations: ['4+1=5', '3+5=8']
Exploring Operation: 97*8=776, Resulting Numbers: [776]
776,91 unequal: No Solution
Exploring Operation: 97-8=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 97+8=105, Resulting Numbers: [105]
105,91 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 #0,1,0
Current State: 91:[97, 15], Operations: ['4+1=5', '3*5=15']
Exploring Operation: 97+15=112, Resulting Numbers: [112]
112,91 unequal: No Solution
Exploring Operation: 97-15=82, Resulting Numbers: [82]
82,91 unequal: No Solution
Exploring Operation: 97*15=1455, Resulting Numbers: [1455]
1455,91 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:[5, 100], Operations: ['4+1=5', '97+3=100']
Exploring Operation: 5*100=500, Resulting Numbers: [500]
500,91 unequal: No Solution
Exploring Operation: 5+100=105, Resulting Numbers: [105]
105,91 unequal: No Solution
Exploring Operation: 100/5=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,91 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 91:[97, 1, 7], Operations: ['4+3=7']
Exploring Operation: 97/1=97, Resulting Numbers: [7, 97]
Generated Node #0,2,0: 91:[7, 97] Operation: 97/1=97
Exploring Operation: 97-1=96, Resulting Numbers: [7, 96]
Generated Node #0,2,1: 91:[7, 96] Operation: 97-1=96
Exploring Operation: 7/1=7, Resulting Numbers: [97, 7]
Generated Node #0,2,2: 91:[97, 7] Operation: 7/1=7
Exploring Operation: 97*1=97, Resulting Numbers: [7, 97]
Generated Node #0,2,3: 91:[7, 97] Operation: 97*1=97
Exploring Operation: 1*7=7, Resulting Numbers: [97, 7]
Generated Node #0,2,4: 91:[97, 7] Operation: 1*7=7
Moving to Node #0,2,1
Current State: 91:[7, 96], Operations: ['4+3=7', '97-1=96']
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 7*96=672, Resulting Numbers: [672]
672,91 unequal: No Solution
Exploring Operation: 7+96=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[97, 7], Operations: ['4+3=7', '7/1=7']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 97*7=679, Resulting Numbers: [679]
679,91 unequal: No Solution
Exploring Operation: 97+7=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Moving to Node #0,2,4
Current State: 91:[97, 7], Operations: ['4+3=7', '1*7=7']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 97*7=679, Resulting Numbers: [679]
679,91 unequal: No Solution
Exploring Operation: 97+7=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Moving to Node #0,2,0
Current State: 91:[7, 97], Operations: ['4+3=7', '97/1=97']
Exploring Operation: 7*97=679, Resulting Numbers: [679]
679,91 unequal: No Solution
Exploring Operation: 7+97=104, Resulting Numbers: [104]
104,91 unequal: No Solution
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[7, 97], Operations: ['4+3=7', '97*1=97']
Exploring Operation: 7*97=679, Resulting Numbers: [679]
679,91 unequal: No Solution
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 7+97=104, Resulting Numbers: [104]
104,91 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 #0,3
Current State: 91:[3, 1, 93], Operations: ['97-4=93']
Exploring Operation: 1*93=93, Resulting Numbers: [3, 93]
Generated Node #0,3,0: 91:[3, 93] Operation: 1*93=93
Exploring Operation: 3/1=3, Resulting Numbers: [93, 3]
Generated Node #0,3,1: 91:[93, 3] Operation: 3/1=3
Exploring Operation: 3*1=3, Resulting Numbers: [93, 3]
Generated Node #0,3,2: 91:[93, 3] Operation: 3*1=3
Exploring Operation: 3+1=4, Resulting Numbers: [93, 4]
Generated Node #0,3,3: 91:[93, 4] Operation: 3+1=4
Exploring Operation: 93-1=92, Resulting Numbers: [3, 92]
Generated Node #0,3,4: 91:[3, 92] Operation: 93-1=92
Moving to Node #0,3,3
Current State: 91:[93, 4], Operations: ['97-4=93', '3+1=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 93*4=372, Resulting Numbers: [372]
372,91 unequal: No Solution
Moving to Node #0,3,4
Current State: 91:[3, 92], Operations: ['97-4=93', '93-1=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Exploring Operation: 3*92=276, Resulting Numbers: [276]
276,91 unequal: No Solution
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Moving to Node #0,3,0
Current State: 91:[3, 93], Operations: ['97-4=93', '1*93=93']
Exploring Operation: 3+93=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Exploring Operation: 3*93=279, Resulting Numbers: [279]
279,91 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[93, 3], Operations: ['97-4=93', '3/1=3']
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 93*3=279, Resulting Numbers: [279]
279,91 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Moving to Node #0,3,2
Current State: 91:[93, 3], Operations: ['97-4=93', '3*1=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Exploring Operation: 93-3=90, Resulting Numbers: [90]
90,91 unequal: No Solution
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,91 unequal: No Solution
Exploring Operation: 93*3=279, Resulting Numbers: [279]
279,91 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 #0,4
Current State: 91:[4, 3, 96], Operations: ['97-1=96']
Exploring Operation: 4*3=12, Resulting Numbers: [96, 12]
Generated Node #0,4,0: 91:[96, 12] Operation: 4*3=12
Exploring Operation: 96-3=93, Resulting Numbers: [4, 93]
Generated Node #0,4,1: 91:[4, 93] Operation: 96-3=93
Exploring Operation: 4-3=1, Resulting Numbers: [96, 1]
Generated Node #0,4,2: 91:[96, 1] Operation: 4-3=1
Exploring Operation: 4+3=7, Resulting Numbers: [96, 7]
Generated Node #0,4,3: 91:[96, 7] Operation: 4+3=7
Exploring Operation: 96-4=92, Resulting Numbers: [3, 92]
Generated Node #0,4,4: 91:[3, 92] Operation: 96-4=92
Moving to Node #0,4,1
Current State: 91:[4, 93], Operations: ['97-1=96', '96-3=93']
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 4+93=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 4*93=372, Resulting Numbers: [372]
372,91 unequal: No Solution
Moving to Node #0,4,4
Current State: 91:[3, 92], Operations: ['97-1=96', '96-4=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 3*92=276, Resulting Numbers: [276]
276,91 unequal: No Solution
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,91 unequal: No Solution
Moving to Node #0,4,3
Current State: 91:[96, 7], Operations: ['97-1=96', '4+3=7']
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,91 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,91 unequal: No Solution
Moving to Node #0,4,0
Current State: 91:[96, 12], Operations: ['97-1=96', '4*3=12']
Exploring Operation: 96+12=108, Resulting Numbers: [108]
108,91 unequal: No Solution
Exploring Operation: 96/12=8, Resulting Numbers: [8]
8,91 unequal: No Solution
Exploring Operation: 96-12=84, Resulting Numbers: [84]
84,91 unequal: No Solution
Exploring Operation: 96*12=1152, Resulting Numbers: [1152]
1152,91 unequal: No Solution
Moving to Node #0,4,2
Current State: 91:[96, 1], Operations: ['97-1=96', '4-3=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Exploring Operation: 96+1=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,91 unequal: No Solution
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
65,
5,
4,
3
] | 80 | [
"65-5=60",
"4*60=240",
"240/3=80"
] | Current State: 80:[65, 5, 4, 3], Operations: []
Exploring Operation: 65-5=60, Resulting Numbers: [4, 3, 60]
Generated Node #2: [4, 3, 60] from Operation: 65-5=60
Current State: 80:[4, 3, 60], Operations: ['65-5=60']
Exploring Operation: 4*60=240, Resulting Numbers: [3, 240]
Generated Node #3: [3, 240] from Operation: 4*60=240
Current State: 80:[3, 240], Operations: ['65-5=60', '4*60=240']
Exploring Operation: 240/3=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[65, 5, 4, 3], Operations: []
Exploring Operation: 65+4=69, Resulting Numbers: [5, 3, 69]
Generated Node #0,0: 80:[5, 3, 69] Operation: 65+4=69
Exploring Operation: 65+3=68, Resulting Numbers: [5, 4, 68]
Generated Node #0,1: 80:[5, 4, 68] Operation: 65+3=68
Exploring Operation: 65/5=13, Resulting Numbers: [4, 3, 13]
Generated Node #0,2: 80:[4, 3, 13] Operation: 65/5=13
Exploring Operation: 65+5=70, Resulting Numbers: [4, 3, 70]
Generated Node #0,3: 80:[4, 3, 70] Operation: 65+5=70
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[4, 3, 13], Operations: ['65/5=13']
Exploring Operation: 4+13=17, Resulting Numbers: [3, 17]
Generated Node #0,2,0: 80:[3, 17] Operation: 4+13=17
Exploring Operation: 3*13=39, Resulting Numbers: [4, 39]
Generated Node #0,2,1: 80:[4, 39] Operation: 3*13=39
Exploring Operation: 3+13=16, Resulting Numbers: [4, 16]
Generated Node #0,2,2: 80:[4, 16] Operation: 3+13=16
Exploring Operation: 13-3=10, Resulting Numbers: [4, 10]
Generated Node #0,2,3: 80:[4, 10] Operation: 13-3=10
Moving to Node #0,2,2
Current State: 80:[4, 16], Operations: ['65/5=13', '3+13=16']
Exploring Operation: 4+16=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,80 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[4, 10], Operations: ['65/5=13', '13-3=10']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,80 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[4, 39], Operations: ['65/5=13', '3*13=39']
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,80 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,80 unequal: No Solution
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[3, 17], Operations: ['65/5=13', '4+13=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,80 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 80:[4, 3, 70], Operations: ['65+5=70']
Exploring Operation: 4-3=1, Resulting Numbers: [70, 1]
Generated Node #0,3,0: 80:[70, 1] Operation: 4-3=1
Exploring Operation: 4+70=74, Resulting Numbers: [3, 74]
Generated Node #0,3,1: 80:[3, 74] Operation: 4+70=74
Exploring Operation: 3+70=73, Resulting Numbers: [4, 73]
Generated Node #0,3,2: 80:[4, 73] Operation: 3+70=73
Exploring Operation: 4+3=7, Resulting Numbers: [70, 7]
Generated Node #0,3,3: 80:[70, 7] Operation: 4+3=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 80:[3, 74], Operations: ['65+5=70', '4+70=74']
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,80 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 80:[4, 73], Operations: ['65+5=70', '3+70=73']
Exploring Operation: 4*73=292, Resulting Numbers: [292]
292,80 unequal: No Solution
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 80:[70, 1], Operations: ['65+5=70', '4-3=1']
Exploring Operation: 70/1=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 70*1=70, Resulting Numbers: [70]
70,80 unequal: No Solution
Exploring Operation: 70+1=71, Resulting Numbers: [71]
71,80 unequal: No Solution
Exploring Operation: 70-1=69, Resulting Numbers: [69]
69,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 80:[70, 7], Operations: ['65+5=70', '4+3=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,80 unequal: No Solution
Exploring Operation: 70*7=490, Resulting Numbers: [490]
490,80 unequal: No Solution
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[5, 3, 69], Operations: ['65+4=69']
Exploring Operation: 3+69=72, Resulting Numbers: [5, 72]
Generated Node #0,0,0: 80:[5, 72] Operation: 3+69=72
Exploring Operation: 69/3=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 80:[5, 23] Operation: 69/3=23
Exploring Operation: 5+69=74, Resulting Numbers: [3, 74]
Generated Node #0,0,2: 80:[3, 74] Operation: 5+69=74
Exploring Operation: 5+3=8, Resulting Numbers: [69, 8]
Generated Node #0,0,3: 80:[69, 8] Operation: 5+3=8
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 80:[5, 23], Operations: ['65+4=69', '69/3=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,80 unequal: No Solution
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,80 unequal: No Solution
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 80:[3, 74], Operations: ['65+4=69', '5+69=74']
Exploring Operation: 3*74=222, Resulting Numbers: [222]
222,80 unequal: No Solution
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,80 unequal: No Solution
Exploring Operation: 3+74=77, Resulting Numbers: [77]
77,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 80:[5, 72], Operations: ['65+4=69', '3+69=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 5*72=360, Resulting Numbers: [360]
360,80 unequal: No Solution
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 80:[69, 8], Operations: ['65+4=69', '5+3=8']
Exploring Operation: 69*8=552, Resulting Numbers: [552]
552,80 unequal: No Solution
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,80 unequal: No Solution
Exploring Operation: 69+8=77, Resulting Numbers: [77]
77,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 80:[5, 4, 68], Operations: ['65+3=68']
Exploring Operation: 5+68=73, Resulting Numbers: [4, 73]
Generated Node #0,1,0: 80:[4, 73] Operation: 5+68=73
Exploring Operation: 4+68=72, Resulting Numbers: [5, 72]
Generated Node #0,1,1: 80:[5, 72] Operation: 4+68=72
Exploring Operation: 68/4=17, Resulting Numbers: [5, 17]
Generated Node #0,1,2: 80:[5, 17] Operation: 68/4=17
Exploring Operation: 5*4=20, Resulting Numbers: [68, 20]
Generated Node #0,1,3: 80:[68, 20] Operation: 5*4=20
Moving to Node #0,1,2
Current State: 80:[5, 17], Operations: ['65+3=68', '68/4=17']
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 5+17=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Exploring Operation: 5*17=85, Resulting Numbers: [85]
85,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[4, 73], Operations: ['65+3=68', '5+68=73']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,80 unequal: No Solution
Exploring Operation: 4*73=292, Resulting Numbers: [292]
292,80 unequal: No Solution
Exploring Operation: 4+73=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[5, 72], Operations: ['65+3=68', '4+68=72']
Exploring Operation: 5+72=77, Resulting Numbers: [77]
77,80 unequal: No Solution
Exploring Operation: 5*72=360, Resulting Numbers: [360]
360,80 unequal: No Solution
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[68, 20], Operations: ['65+3=68', '5*4=20']
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 68+20=88, Resulting Numbers: [88]
88,80 unequal: No Solution
Exploring Operation: 68*20=1360, Resulting Numbers: [1360]
1360,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
45,
91,
32,
3
] | 42 | [
"91-45=46",
"46-32=14",
"3*14=42"
] | Current State: 42:[45, 91, 32, 3], Operations: []
Exploring Operation: 91-45=46, Resulting Numbers: [32, 3, 46]
Generated Node #2: [32, 3, 46] from Operation: 91-45=46
Current State: 42:[32, 3, 46], Operations: ['91-45=46']
Exploring Operation: 46-32=14, Resulting Numbers: [3, 14]
Generated Node #3: [3, 14] from Operation: 46-32=14
Current State: 42:[3, 14], Operations: ['91-45=46', '46-32=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[45, 91, 32, 3], Operations: []
Exploring Operation: 45-3=42, Resulting Numbers: [91, 32, 42]
Generated Node #0,0: 42:[91, 32, 42] Operation: 45-3=42
Exploring Operation: 45-32=13, Resulting Numbers: [91, 3, 13]
Generated Node #0,1: 42:[91, 3, 13] Operation: 45-32=13
Exploring Operation: 91-32=59, Resulting Numbers: [45, 3, 59]
Generated Node #0,2: 42:[45, 3, 59] Operation: 91-32=59
Exploring Operation: 91-45=46, Resulting Numbers: [32, 3, 46]
Generated Node #0,3: 42:[32, 3, 46] Operation: 91-45=46
Exploring Operation: 91-3=88, Resulting Numbers: [45, 32, 88]
Generated Node #0,4: 42:[45, 32, 88] Operation: 91-3=88
Moving to Node #0,3
Current State: 42:[32, 3, 46], Operations: ['91-45=46']
Exploring Operation: 32+3=35, Resulting Numbers: [46, 35]
Generated Node #0,3,0: 42:[46, 35] Operation: 32+3=35
Exploring Operation: 32-3=29, Resulting Numbers: [46, 29]
Generated Node #0,3,1: 42:[46, 29] Operation: 32-3=29
Exploring Operation: 3+46=49, Resulting Numbers: [32, 49]
Generated Node #0,3,2: 42:[32, 49] Operation: 3+46=49
Exploring Operation: 46-3=43, Resulting Numbers: [32, 43]
Generated Node #0,3,3: 42:[32, 43] Operation: 46-3=43
Exploring Operation: 46-32=14, Resulting Numbers: [3, 14]
Generated Node #0,3,4: 42:[3, 14] Operation: 46-32=14
Moving to Node #0,2
Current State: 42:[45, 3, 59], Operations: ['91-32=59']
Exploring Operation: 59-3=56, Resulting Numbers: [45, 56]
Generated Node #0,2,0: 42:[45, 56] Operation: 59-3=56
Exploring Operation: 45+3=48, Resulting Numbers: [59, 48]
Generated Node #0,2,1: 42:[59, 48] Operation: 45+3=48
Exploring Operation: 45/3=15, Resulting Numbers: [59, 15]
Generated Node #0,2,2: 42:[59, 15] Operation: 45/3=15
Exploring Operation: 45-3=42, Resulting Numbers: [59, 42]
Generated Node #0,2,3: 42:[59, 42] Operation: 45-3=42
Exploring Operation: 59-45=14, Resulting Numbers: [3, 14]
Generated Node #0,2,4: 42:[3, 14] Operation: 59-45=14
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 42:[3, 14], Operations: ['91-32=59', '59-45=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[45, 91, 32, 3], Operations: []
Exploring Operation: 91-32=59, Resulting Numbers: [45, 3, 59]
Generated Node #0,2: 42:[45, 3, 59] Operation: 91-32=59
Moving to Node #0,2
Current State: 42:[45, 3, 59], Operations: ['91-32=59']
Exploring Operation: 59-45=14, Resulting Numbers: [3, 14]
Generated Node #0,2,4: 42:[3, 14] Operation: 59-45=14
Moving to Node #0,2,4
Current State: 42:[3, 14], Operations: ['91-32=59', '59-45=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
3,
27,
84,
71
] | 34 | [
"27+84=111",
"111/3=37",
"71-37=34"
] | Current State: 34:[3, 27, 84, 71], Operations: []
Exploring Operation: 27+84=111, Resulting Numbers: [3, 71, 111]
Generated Node #2: [3, 71, 111] from Operation: 27+84=111
Current State: 34:[3, 71, 111], Operations: ['27+84=111']
Exploring Operation: 111/3=37, Resulting Numbers: [71, 37]
Generated Node #3: [71, 37] from Operation: 111/3=37
Current State: 34:[71, 37], Operations: ['27+84=111', '111/3=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[3, 27, 84, 71], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [3, 71, 57]
Generated Node #0,0: 34:[3, 71, 57] Operation: 84-27=57
Exploring Operation: 84-71=13, Resulting Numbers: [3, 27, 13]
Generated Node #0,1: 34:[3, 27, 13] Operation: 84-71=13
Exploring Operation: 71-27=44, Resulting Numbers: [3, 84, 44]
Generated Node #0,2: 34:[3, 84, 44] Operation: 71-27=44
Exploring Operation: 84/3=28, Resulting Numbers: [27, 71, 28]
Generated Node #0,3: 34:[27, 71, 28] Operation: 84/3=28
Moving to Node #0,1
Current State: 34:[3, 27, 13], Operations: ['84-71=13']
Exploring Operation: 27+13=40, Resulting Numbers: [3, 40]
Generated Node #0,1,0: 34:[3, 40] Operation: 27+13=40
Exploring Operation: 3+13=16, Resulting Numbers: [27, 16]
Generated Node #0,1,1: 34:[27, 16] Operation: 3+13=16
Exploring Operation: 27-13=14, Resulting Numbers: [3, 14]
Generated Node #0,1,2: 34:[3, 14] Operation: 27-13=14
Exploring Operation: 3+27=30, Resulting Numbers: [13, 30]
Generated Node #0,1,3: 34:[13, 30] Operation: 3+27=30
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 34:[3, 14], Operations: ['84-71=13', '27-13=14']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[3, 40], Operations: ['84-71=13', '27+13=40']
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[27, 16], Operations: ['84-71=13', '3+13=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,34 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 34:[13, 30], Operations: ['84-71=13', '3+27=30']
Exploring Operation: 13*30=390, Resulting Numbers: [390]
390,34 unequal: No Solution
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 13+30=43, Resulting Numbers: [43]
43,34 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: 34:[27, 71, 28], Operations: ['84/3=28']
Exploring Operation: 71-27=44, Resulting Numbers: [28, 44]
Generated Node #0,3,0: 34:[28, 44] Operation: 71-27=44
Exploring Operation: 27+28=55, Resulting Numbers: [71, 55]
Generated Node #0,3,1: 34:[71, 55] Operation: 27+28=55
Exploring Operation: 71-28=43, Resulting Numbers: [27, 43]
Generated Node #0,3,2: 34:[27, 43] Operation: 71-28=43
Exploring Operation: 28-27=1, Resulting Numbers: [71, 1]
Generated Node #0,3,3: 34:[71, 1] Operation: 28-27=1
Moving to Node #0,2
Current State: 34:[3, 84, 44], Operations: ['71-27=44']
Exploring Operation: 84-44=40, Resulting Numbers: [3, 40]
Generated Node #0,2,0: 34:[3, 40] Operation: 84-44=40
Exploring Operation: 84/3=28, Resulting Numbers: [44, 28]
Generated Node #0,2,1: 34:[44, 28] Operation: 84/3=28
Exploring Operation: 84-3=81, Resulting Numbers: [44, 81]
Generated Node #0,2,2: 34:[44, 81] Operation: 84-3=81
Exploring Operation: 44-3=41, Resulting Numbers: [84, 41]
Generated Node #0,2,3: 34:[84, 41] Operation: 44-3=41
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[3, 40], Operations: ['71-27=44', '84-44=40']
Exploring Operation: 3*40=120, Resulting Numbers: [120]
120,34 unequal: No Solution
Exploring Operation: 40-3=37, Resulting Numbers: [37]
37,34 unequal: No Solution
Exploring Operation: 3+40=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[44, 28], Operations: ['71-27=44', '84/3=28']
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,34 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[44, 81], Operations: ['71-27=44', '84-3=81']
Exploring Operation: 44+81=125, Resulting Numbers: [125]
125,34 unequal: No Solution
Exploring Operation: 44*81=3564, Resulting Numbers: [3564]
3564,34 unequal: No Solution
Exploring Operation: 81-44=37, Resulting Numbers: [37]
37,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[84, 41], Operations: ['71-27=44', '44-3=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 84+41=125, Resulting Numbers: [125]
125,34 unequal: No Solution
Exploring Operation: 84*41=3444, Resulting Numbers: [3444]
3444,34 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: 34:[3, 71, 57], Operations: ['84-27=57']
Exploring Operation: 71-3=68, Resulting Numbers: [57, 68]
Generated Node #0,0,0: 34:[57, 68] Operation: 71-3=68
Exploring Operation: 71-57=14, Resulting Numbers: [3, 14]
Generated Node #0,0,1: 34:[3, 14] Operation: 71-57=14
Exploring Operation: 57-3=54, Resulting Numbers: [71, 54]
Generated Node #0,0,2: 34:[71, 54] Operation: 57-3=54
Exploring Operation: 57/3=19, Resulting Numbers: [71, 19]
Generated Node #0,0,3: 34:[71, 19] Operation: 57/3=19
Moving to Node #0,0,1
Current State: 34:[3, 14], Operations: ['84-27=57', '71-57=14']
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Moving to Node #0,3,0
Current State: 34:[28, 44], Operations: ['84/3=28', '71-27=44']
Exploring Operation: 28+44=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 28*44=1232, Resulting Numbers: [1232]
1232,34 unequal: No Solution
Moving to Node #0,3,2
Current State: 34:[27, 43], Operations: ['84/3=28', '71-28=43']
Exploring Operation: 43-27=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,34 unequal: No Solution
Exploring Operation: 27*43=1161, Resulting Numbers: [1161]
1161,34 unequal: No Solution
Moving to Node #0,3,3
Current State: 34:[71, 1], Operations: ['84/3=28', '28-27=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,34 unequal: No Solution
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,34 unequal: No Solution
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,34 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[71, 19], Operations: ['84-27=57', '57/3=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,34 unequal: No Solution
Exploring Operation: 71*19=1349, Resulting Numbers: [1349]
1349,34 unequal: No Solution
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,34 unequal: No Solution
Moving to Node #0,0,2
Current State: 34:[71, 54], Operations: ['84-27=57', '57-3=54']
Exploring Operation: 71+54=125, Resulting Numbers: [125]
125,34 unequal: No Solution
Exploring Operation: 71*54=3834, Resulting Numbers: [3834]
3834,34 unequal: No Solution
Exploring Operation: 71-54=17, Resulting Numbers: [17]
17,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[57, 68], Operations: ['84-27=57', '71-3=68']
Exploring Operation: 57+68=125, Resulting Numbers: [125]
125,34 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 57*68=3876, Resulting Numbers: [3876]
3876,34 unequal: No Solution
Moving to Node #0,3,1
Current State: 34:[71, 55], Operations: ['84/3=28', '27+28=55']
Exploring Operation: 71+55=126, Resulting Numbers: [126]
126,34 unequal: No Solution
Exploring Operation: 71-55=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 71*55=3905, Resulting Numbers: [3905]
3905,34 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
16,
62,
84,
4
] | 34 | [
"62-16=46",
"84-4=80",
"80-46=34"
] | Current State: 34:[16, 62, 84, 4], Operations: []
Exploring Operation: 62-16=46, Resulting Numbers: [84, 4, 46]
Generated Node #2: [84, 4, 46] from Operation: 62-16=46
Current State: 34:[84, 4, 46], Operations: ['62-16=46']
Exploring Operation: 84-4=80, Resulting Numbers: [46, 80]
Generated Node #3: [46, 80] from Operation: 84-4=80
Current State: 34:[46, 80], Operations: ['62-16=46', '84-4=80']
Exploring Operation: 80-46=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[16, 62, 84, 4], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [16, 4, 22]
Generated Node #0,0: 34:[16, 4, 22] Operation: 84-62=22
Moving to Node #0,0
Current State: 34:[16, 4, 22], Operations: ['84-62=22']
Exploring Operation: 22-4=18, Resulting Numbers: [16, 18]
Generated Node #0,0,0: 34:[16, 18] Operation: 22-4=18
Moving to Node #0,0,0
Current State: 34:[16, 18], Operations: ['84-62=22', '22-4=18']
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[16, 62, 84, 4], Operations: []
Exploring Operation: 84-62=22, Resulting Numbers: [16, 4, 22]
Generated Node #0,0: 34:[16, 4, 22] Operation: 84-62=22
Moving to Node #0,0
Current State: 34:[16, 4, 22], Operations: ['84-62=22']
Exploring Operation: 22-4=18, Resulting Numbers: [16, 18]
Generated Node #0,0,0: 34:[16, 18] Operation: 22-4=18
Moving to Node #0,0,0
Current State: 34:[16, 18], Operations: ['84-62=22', '22-4=18']
Exploring Operation: 16+18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
35,
39,
16,
1
] | 68 | [
"39-35=4",
"16+1=17",
"4*17=68"
] | Current State: 68:[35, 39, 16, 1], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [16, 1, 4]
Generated Node #2: [16, 1, 4] from Operation: 39-35=4
Current State: 68:[16, 1, 4], Operations: ['39-35=4']
Exploring Operation: 16+1=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 16+1=17
Current State: 68:[4, 17], Operations: ['39-35=4', '16+1=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 | Current State: 68:[35, 39, 16, 1], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [16, 1, 4]
Generated Node #0,0: 68:[16, 1, 4] Operation: 39-35=4
Exploring Operation: 39-1=38, Resulting Numbers: [35, 16, 38]
Generated Node #0,1: 68:[35, 16, 38] Operation: 39-1=38
Exploring Operation: 35-1=34, Resulting Numbers: [39, 16, 34]
Generated Node #0,2: 68:[39, 16, 34] Operation: 35-1=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[16, 1, 4], Operations: ['39-35=4']
Exploring Operation: 16*1=16, Resulting Numbers: [4, 16]
Generated Node #0,0,0: 68:[4, 16] Operation: 16*1=16
Exploring Operation: 16+1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,1: 68:[4, 17] Operation: 16+1=17
Exploring Operation: 16/1=16, Resulting Numbers: [4, 16]
Generated Node #0,0,2: 68:[4, 16] Operation: 16/1=16
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[4, 17], Operations: ['39-35=4', '16+1=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Moving to Node #0
Current State: 68:[35, 39, 16, 1], Operations: []
Exploring Operation: 39-35=4, Resulting Numbers: [16, 1, 4]
Generated Node #0,0: 68:[16, 1, 4] Operation: 39-35=4
Moving to Node #0,0
Current State: 68:[16, 1, 4], Operations: ['39-35=4']
Exploring Operation: 16+1=17, Resulting Numbers: [4, 17]
Generated Node #0,0,1: 68:[4, 17] Operation: 16+1=17
Moving to Node #0,0,1
Current State: 68:[4, 17], Operations: ['39-35=4', '16+1=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
2,
76,
71,
28
] | 30 | [
"76*28=2128",
"2+2128=2130",
"2130/71=30"
] | Current State: 30:[2, 76, 71, 28], Operations: []
Exploring Operation: 76*28=2128, Resulting Numbers: [2, 71, 2128]
Generated Node #2: [2, 71, 2128] from Operation: 76*28=2128
Current State: 30:[2, 71, 2128], Operations: ['76*28=2128']
Exploring Operation: 2+2128=2130, Resulting Numbers: [71, 2130]
Generated Node #3: [71, 2130] from Operation: 2+2128=2130
Current State: 30:[71, 2130], Operations: ['76*28=2128', '2+2128=2130']
Exploring Operation: 2130/71=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[2, 76, 71, 28], Operations: []
Exploring Operation: 76-28=48, Resulting Numbers: [2, 71, 48]
Generated Node #0,0: 30:[2, 71, 48] Operation: 76-28=48
Exploring Operation: 76-71=5, Resulting Numbers: [2, 28, 5]
Generated Node #0,1: 30:[2, 28, 5] Operation: 76-71=5
Exploring Operation: 76-2=74, Resulting Numbers: [71, 28, 74]
Generated Node #0,2: 30:[71, 28, 74] Operation: 76-2=74
Exploring Operation: 76/2=38, Resulting Numbers: [71, 28, 38]
Generated Node #0,3: 30:[71, 28, 38] Operation: 76/2=38
Exploring Operation: 71-28=43, Resulting Numbers: [2, 76, 43]
Generated Node #0,4: 30:[2, 76, 43] Operation: 71-28=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[2, 28, 5], Operations: ['76-71=5']
Exploring Operation: 5-2=3, Resulting Numbers: [28, 3]
Generated Node #0,1,0: 30:[28, 3] Operation: 5-2=3
Exploring Operation: 28/2=14, Resulting Numbers: [5, 14]
Generated Node #0,1,1: 30:[5, 14] Operation: 28/2=14
Exploring Operation: 2+5=7, Resulting Numbers: [28, 7]
Generated Node #0,1,2: 30:[28, 7] Operation: 2+5=7
Exploring Operation: 2+28=30, Resulting Numbers: [5, 30]
Generated Node #0,1,3: 30:[5, 30] Operation: 2+28=30
Exploring Operation: 2*5=10, Resulting Numbers: [28, 10]
Generated Node #0,1,4: 30:[28, 10] Operation: 2*5=10
Moving to Node #0,1,3
Current State: 30:[5, 30], Operations: ['76-71=5', '2+28=30']
Exploring Operation: 5*30=150, Resulting Numbers: [150]
150,30 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,30 unequal: No Solution
Exploring Operation: 5+30=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[5, 14], Operations: ['76-71=5', '28/2=14']
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,30 unequal: No Solution
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,30 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[28, 3], Operations: ['76-71=5', '5-2=3']
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Moving to Node #0,1,4
Current State: 30:[28, 10], Operations: ['76-71=5', '2*5=10']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 28+10=38, Resulting Numbers: [38]
38,30 unequal: No Solution
Exploring Operation: 28*10=280, Resulting Numbers: [280]
280,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[28, 7], Operations: ['76-71=5', '2+5=7']
Exploring Operation: 28/7=4, Resulting Numbers: [4]
4,30 unequal: No Solution
Exploring Operation: 28*7=196, Resulting Numbers: [196]
196,30 unequal: No Solution
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 28-7=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 30:[71, 28, 38], Operations: ['76/2=38']
Exploring Operation: 71-38=33, Resulting Numbers: [28, 33]
Generated Node #0,3,0: 30:[28, 33] Operation: 71-38=33
Exploring Operation: 28+38=66, Resulting Numbers: [71, 66]
Generated Node #0,3,1: 30:[71, 66] Operation: 28+38=66
Exploring Operation: 71-28=43, Resulting Numbers: [38, 43]
Generated Node #0,3,2: 30:[38, 43] Operation: 71-28=43
Exploring Operation: 71+28=99, Resulting Numbers: [38, 99]
Generated Node #0,3,3: 30:[38, 99] Operation: 71+28=99
Exploring Operation: 38-28=10, Resulting Numbers: [71, 10]
Generated Node #0,3,4: 30:[71, 10] Operation: 38-28=10
Moving to Node #0,3,0
Current State: 30:[28, 33], Operations: ['76/2=38', '71-38=33']
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,30 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,30 unequal: No Solution
Moving to Node #0,3,2
Current State: 30:[38, 43], Operations: ['76/2=38', '71-28=43']
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,30 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Moving to Node #0,3,4
Current State: 30:[71, 10], Operations: ['76/2=38', '38-28=10']
Exploring Operation: 71*10=710, Resulting Numbers: [710]
710,30 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,30 unequal: No Solution
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Moving to Node #0,3,1
Current State: 30:[71, 66], Operations: ['76/2=38', '28+38=66']
Exploring Operation: 71-66=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 71+66=137, Resulting Numbers: [137]
137,30 unequal: No Solution
Exploring Operation: 71*66=4686, Resulting Numbers: [4686]
4686,30 unequal: No Solution
Moving to Node #0,3,3
Current State: 30:[38, 99], Operations: ['76/2=38', '71+28=99']
Exploring Operation: 38*99=3762, Resulting Numbers: [3762]
3762,30 unequal: No Solution
Exploring Operation: 99-38=61, Resulting Numbers: [61]
61,30 unequal: No Solution
Exploring Operation: 38+99=137, Resulting Numbers: [137]
137,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[2, 71, 48], Operations: ['76-28=48']
Exploring Operation: 71-48=23, Resulting Numbers: [2, 23]
Generated Node #0,0,0: 30:[2, 23] Operation: 71-48=23
Exploring Operation: 48-2=46, Resulting Numbers: [71, 46]
Generated Node #0,0,1: 30:[71, 46] Operation: 48-2=46
Exploring Operation: 2+71=73, Resulting Numbers: [48, 73]
Generated Node #0,0,2: 30:[48, 73] Operation: 2+71=73
Exploring Operation: 48/2=24, Resulting Numbers: [71, 24]
Generated Node #0,0,3: 30:[71, 24] Operation: 48/2=24
Exploring Operation: 71-2=69, Resulting Numbers: [48, 69]
Generated Node #0,0,4: 30:[48, 69] Operation: 71-2=69
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[2, 23], Operations: ['76-28=48', '71-48=23']
Exploring Operation: 23-2=21, Resulting Numbers: [21]
21,30 unequal: No Solution
Exploring Operation: 2+23=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 2*23=46, Resulting Numbers: [46]
46,30 unequal: No Solution
No 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: 30:[71, 24], Operations: ['76-28=48', '48/2=24']
Exploring Operation: 71+24=95, Resulting Numbers: [95]
95,30 unequal: No Solution
Exploring Operation: 71*24=1704, Resulting Numbers: [1704]
1704,30 unequal: No Solution
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,30 unequal: No Solution
No 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: 30:[71, 46], Operations: ['76-28=48', '48-2=46']
Exploring Operation: 71*46=3266, Resulting Numbers: [3266]
3266,30 unequal: No Solution
Exploring Operation: 71+46=117, Resulting Numbers: [117]
117,30 unequal: No Solution
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,30 unequal: No Solution
No 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: 30:[48, 69], Operations: ['76-28=48', '71-2=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,30 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,30 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,30 unequal: No Solution
No 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: 30:[48, 73], Operations: ['76-28=48', '2+71=73']
Exploring Operation: 48+73=121, Resulting Numbers: [121]
121,30 unequal: No Solution
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 48*73=3504, Resulting Numbers: [3504]
3504,30 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: 30:[2, 76, 43], Operations: ['71-28=43']
Exploring Operation: 76/2=38, Resulting Numbers: [43, 38]
Generated Node #0,4,0: 30:[43, 38] Operation: 76/2=38
Exploring Operation: 43-2=41, Resulting Numbers: [76, 41]
Generated Node #0,4,1: 30:[76, 41] Operation: 43-2=41
Exploring Operation: 2+76=78, Resulting Numbers: [43, 78]
Generated Node #0,4,2: 30:[43, 78] Operation: 2+76=78
Exploring Operation: 76-43=33, Resulting Numbers: [2, 33]
Generated Node #0,4,3: 30:[2, 33] Operation: 76-43=33
Exploring Operation: 76-2=74, Resulting Numbers: [43, 74]
Generated Node #0,4,4: 30:[43, 74] Operation: 76-2=74
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 30:[2, 33], Operations: ['71-28=43', '76-43=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,30 unequal: No Solution
Exploring Operation: 2+33=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 30:[43, 38], Operations: ['71-28=43', '76/2=38']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 43*38=1634, Resulting Numbers: [1634]
1634,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 30:[76, 41], Operations: ['71-28=43', '43-2=41']
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,30 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 30:[43, 74], Operations: ['71-28=43', '76-2=74']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 43+74=117, Resulting Numbers: [117]
117,30 unequal: No Solution
Exploring Operation: 43*74=3182, Resulting Numbers: [3182]
3182,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 30:[43, 78], Operations: ['71-28=43', '2+76=78']
Exploring Operation: 78-43=35, Resulting Numbers: [35]
35,30 unequal: No Solution
Exploring Operation: 43+78=121, Resulting Numbers: [121]
121,30 unequal: No Solution
Exploring Operation: 43*78=3354, Resulting Numbers: [3354]
3354,30 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: 30:[71, 28, 74], Operations: ['76-2=74']
Exploring Operation: 74-71=3, Resulting Numbers: [28, 3]
Generated Node #0,2,0: 30:[28, 3] Operation: 74-71=3
Exploring Operation: 74-28=46, Resulting Numbers: [71, 46]
Generated Node #0,2,1: 30:[71, 46] Operation: 74-28=46
Exploring Operation: 71+28=99, Resulting Numbers: [74, 99]
Generated Node #0,2,2: 30:[74, 99] Operation: 71+28=99
Exploring Operation: 28+74=102, Resulting Numbers: [71, 102]
Generated Node #0,2,3: 30:[71, 102] Operation: 28+74=102
Exploring Operation: 71-28=43, Resulting Numbers: [74, 43]
Generated Node #0,2,4: 30:[74, 43] Operation: 71-28=43
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 30:[28, 3], Operations: ['76-2=74', '74-71=3']
Exploring Operation: 28-3=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 28*3=84, Resulting Numbers: [84]
84,30 unequal: No Solution
Exploring Operation: 28+3=31, Resulting Numbers: [31]
31,30 unequal: No Solution
No 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: 30:[71, 46], Operations: ['76-2=74', '74-28=46']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 71*46=3266, Resulting Numbers: [3266]
3266,30 unequal: No Solution
Exploring Operation: 71+46=117, Resulting Numbers: [117]
117,30 unequal: No Solution
No 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: 30:[74, 43], Operations: ['76-2=74', '71-28=43']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 74*43=3182, Resulting Numbers: [3182]
3182,30 unequal: No Solution
Exploring Operation: 74+43=117, Resulting Numbers: [117]
117,30 unequal: No Solution
No 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: 30:[74, 99], Operations: ['76-2=74', '71+28=99']
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,30 unequal: No Solution
Exploring Operation: 74+99=173, Resulting Numbers: [173]
173,30 unequal: No Solution
Exploring Operation: 74*99=7326, Resulting Numbers: [7326]
7326,30 unequal: No Solution
No 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: 30:[71, 102], Operations: ['76-2=74', '28+74=102']
Exploring Operation: 71*102=7242, Resulting Numbers: [7242]
7242,30 unequal: No Solution
Exploring Operation: 102-71=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 71+102=173, Resulting Numbers: [173]
173,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
55,
66,
2,
76
] | 60 | [
"76-66=10",
"10/2=5",
"55+5=60"
] | Current State: 60:[55, 66, 2, 76], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [55, 2, 10]
Generated Node #2: [55, 2, 10] from Operation: 76-66=10
Current State: 60:[55, 2, 10], Operations: ['76-66=10']
Exploring Operation: 10/2=5, Resulting Numbers: [55, 5]
Generated Node #3: [55, 5] from Operation: 10/2=5
Current State: 60:[55, 5], Operations: ['76-66=10', '10/2=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[55, 66, 2, 76], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [55, 66, 38]
Generated Node #0,0: 60:[55, 66, 38] Operation: 76/2=38
Exploring Operation: 76-55=21, Resulting Numbers: [66, 2, 21]
Generated Node #0,1: 60:[66, 2, 21] Operation: 76-55=21
Exploring Operation: 66-55=11, Resulting Numbers: [2, 76, 11]
Generated Node #0,2: 60:[2, 76, 11] Operation: 66-55=11
Exploring Operation: 66/2=33, Resulting Numbers: [55, 76, 33]
Generated Node #0,3: 60:[55, 76, 33] Operation: 66/2=33
Exploring Operation: 76-66=10, Resulting Numbers: [55, 2, 10]
Generated Node #0,4: 60:[55, 2, 10] Operation: 76-66=10
Moving to Node #0,4
Current State: 60:[55, 2, 10], Operations: ['76-66=10']
Exploring Operation: 2+10=12, Resulting Numbers: [55, 12]
Generated Node #0,4,0: 60:[55, 12] Operation: 2+10=12
Exploring Operation: 55+10=65, Resulting Numbers: [2, 65]
Generated Node #0,4,1: 60:[2, 65] Operation: 55+10=65
Exploring Operation: 10/2=5, Resulting Numbers: [55, 5]
Generated Node #0,4,2: 60:[55, 5] Operation: 10/2=5
Exploring Operation: 2*10=20, Resulting Numbers: [55, 20]
Generated Node #0,4,3: 60:[55, 20] Operation: 2*10=20
Exploring Operation: 55+2=57, Resulting Numbers: [10, 57]
Generated Node #0,4,4: 60:[10, 57] Operation: 55+2=57
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 60:[10, 57], Operations: ['76-66=10', '55+2=57']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Exploring Operation: 10*57=570, Resulting Numbers: [570]
570,60 unequal: No Solution
Exploring Operation: 10+57=67, Resulting Numbers: [67]
67,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 60:[55, 12], Operations: ['76-66=10', '2+10=12']
Exploring Operation: 55*12=660, Resulting Numbers: [660]
660,60 unequal: No Solution
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Exploring Operation: 55-12=43, Resulting Numbers: [43]
43,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 60:[2, 65], Operations: ['76-66=10', '55+10=65']
Exploring Operation: 65-2=63, Resulting Numbers: [63]
63,60 unequal: No Solution
Exploring Operation: 2+65=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Exploring Operation: 2*65=130, Resulting Numbers: [130]
130,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 60:[55, 5], Operations: ['76-66=10', '10/2=5']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,60 unequal: No Solution
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Moving to Node #0
Current State: 60:[55, 66, 2, 76], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [55, 2, 10]
Generated Node #0,4: 60:[55, 2, 10] Operation: 76-66=10
Moving to Node #0,4
Current State: 60:[55, 2, 10], Operations: ['76-66=10']
Exploring Operation: 10/2=5, Resulting Numbers: [55, 5]
Generated Node #0,4,2: 60:[55, 5] Operation: 10/2=5
Moving to Node #0,4,2
Current State: 60:[55, 5], Operations: ['76-66=10', '10/2=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
Exit Sub Search at level 1
| 0.977431 | hs_5 | sum_heuristic |
[
93,
87,
84,
29
] | 53 | [
"93*29=2697",
"2697/87=31",
"84-31=53"
] | Current State: 53:[93, 87, 84, 29], Operations: []
Exploring Operation: 93*29=2697, Resulting Numbers: [87, 84, 2697]
Generated Node #2: [87, 84, 2697] from Operation: 93*29=2697
Current State: 53:[87, 84, 2697], Operations: ['93*29=2697']
Exploring Operation: 2697/87=31, Resulting Numbers: [84, 31]
Generated Node #3: [84, 31] from Operation: 2697/87=31
Current State: 53:[84, 31], Operations: ['93*29=2697', '2697/87=31']
Exploring Operation: 84-31=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[93, 87, 84, 29], Operations: []
Exploring Operation: 93-29=64, Resulting Numbers: [87, 84, 64]
Generated Node #0,0: 53:[87, 84, 64] Operation: 93-29=64
Exploring Operation: 84-29=55, Resulting Numbers: [93, 87, 55]
Generated Node #0,1: 53:[93, 87, 55] Operation: 84-29=55
Exploring Operation: 87-29=58, Resulting Numbers: [93, 84, 58]
Generated Node #0,2: 53:[93, 84, 58] Operation: 87-29=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[87, 84, 64], Operations: ['93-29=64']
Exploring Operation: 84-64=20, Resulting Numbers: [87, 20]
Generated Node #0,0,0: 53:[87, 20] Operation: 84-64=20
Exploring Operation: 87-64=23, Resulting Numbers: [84, 23]
Generated Node #0,0,1: 53:[84, 23] Operation: 87-64=23
Exploring Operation: 87-84=3, Resulting Numbers: [64, 3]
Generated Node #0,0,2: 53:[64, 3] Operation: 87-84=3
Moving to Node #0,0,1
Current State: 53:[84, 23], Operations: ['93-29=64', '87-64=23']
Exploring Operation: 84+23=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 84*23=1932, Resulting Numbers: [1932]
1932,53 unequal: No Solution
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Moving to Node #0,0,2
Current State: 53:[64, 3], Operations: ['93-29=64', '87-84=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 64-3=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 64*3=192, Resulting Numbers: [192]
192,53 unequal: No Solution
Moving to Node #0,0,0
Current State: 53:[87, 20], Operations: ['93-29=64', '84-64=20']
Exploring Operation: 87-20=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 87+20=107, Resulting Numbers: [107]
107,53 unequal: No Solution
Exploring Operation: 87*20=1740, Resulting Numbers: [1740]
1740,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[93, 87, 55], Operations: ['84-29=55']
Exploring Operation: 87-55=32, Resulting Numbers: [93, 32]
Generated Node #0,1,0: 53:[93, 32] Operation: 87-55=32
Exploring Operation: 93-55=38, Resulting Numbers: [87, 38]
Generated Node #0,1,1: 53:[87, 38] Operation: 93-55=38
Exploring Operation: 93-87=6, Resulting Numbers: [55, 6]
Generated Node #0,1,2: 53:[55, 6] Operation: 93-87=6
Moving to Node #0,1,1
Current State: 53:[87, 38], Operations: ['84-29=55', '93-55=38']
Exploring Operation: 87*38=3306, Resulting Numbers: [3306]
3306,53 unequal: No Solution
Exploring Operation: 87-38=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Exploring Operation: 87+38=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Moving to Node #0,1,2
Current State: 53:[55, 6], Operations: ['84-29=55', '93-87=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Exploring Operation: 55*6=330, Resulting Numbers: [330]
330,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[93, 32], Operations: ['84-29=55', '87-55=32']
Exploring Operation: 93+32=125, Resulting Numbers: [125]
125,53 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,53 unequal: No Solution
Exploring Operation: 93*32=2976, Resulting Numbers: [2976]
2976,53 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 #0,2
Current State: 53:[93, 84, 58], Operations: ['87-29=58']
Exploring Operation: 93-58=35, Resulting Numbers: [84, 35]
Generated Node #0,2,0: 53:[84, 35] Operation: 93-58=35
Exploring Operation: 93-84=9, Resulting Numbers: [58, 9]
Generated Node #0,2,1: 53:[58, 9] Operation: 93-84=9
Exploring Operation: 84-58=26, Resulting Numbers: [93, 26]
Generated Node #0,2,2: 53:[93, 26] Operation: 84-58=26
Moving to Node #0,2,0
Current State: 53:[84, 35], Operations: ['87-29=58', '93-58=35']
Exploring Operation: 84+35=119, Resulting Numbers: [119]
119,53 unequal: No Solution
Exploring Operation: 84*35=2940, Resulting Numbers: [2940]
2940,53 unequal: No Solution
Exploring Operation: 84-35=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Moving to Node #0,2,1
Current State: 53:[58, 9], Operations: ['87-29=58', '93-84=9']
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 58*9=522, Resulting Numbers: [522]
522,53 unequal: No Solution
Exploring Operation: 58-9=49, Resulting Numbers: [49]
49,53 unequal: No Solution
Moving to Node #0,2,2
Current State: 53:[93, 26], Operations: ['87-29=58', '84-58=26']
Exploring Operation: 93+26=119, Resulting Numbers: [119]
119,53 unequal: No Solution
Exploring Operation: 93-26=67, Resulting Numbers: [67]
67,53 unequal: No Solution
Exploring Operation: 93*26=2418, Resulting Numbers: [2418]
2418,53 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 |
[
32,
38,
16,
36
] | 40 | [
"32*38=1216",
"1216/16=76",
"76-36=40"
] | Current State: 40:[32, 38, 16, 36], Operations: []
Exploring Operation: 32*38=1216, Resulting Numbers: [16, 36, 1216]
Generated Node #2: [16, 36, 1216] from Operation: 32*38=1216
Current State: 40:[16, 36, 1216], Operations: ['32*38=1216']
Exploring Operation: 1216/16=76, Resulting Numbers: [36, 76]
Generated Node #3: [36, 76] from Operation: 1216/16=76
Current State: 40:[36, 76], Operations: ['32*38=1216', '1216/16=76']
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[32, 38, 16, 36], Operations: []
Exploring Operation: 38-32=6, Resulting Numbers: [16, 36, 6]
Generated Node #0,0: 40:[16, 36, 6] Operation: 38-32=6
Exploring Operation: 32-16=16, Resulting Numbers: [38, 36, 16]
Generated Node #0,1: 40:[38, 36, 16] Operation: 32-16=16
Exploring Operation: 32/16=2, Resulting Numbers: [38, 36, 2]
Generated Node #0,2: 40:[38, 36, 2] Operation: 32/16=2
Exploring Operation: 36-32=4, Resulting Numbers: [38, 16, 4]
Generated Node #0,3: 40:[38, 16, 4] Operation: 36-32=4
Start Sub Search at level 1: Moving to Node #0,2
Current State: 40:[38, 36, 2], Operations: ['32/16=2']
Exploring Operation: 36+2=38, Resulting Numbers: [38, 38]
Generated Node #0,2,0: 40:[38, 38] Operation: 36+2=38
Exploring Operation: 38+2=40, Resulting Numbers: [36, 40]
Generated Node #0,2,1: 40:[36, 40] Operation: 38+2=40
Exploring Operation: 38-36=2, Resulting Numbers: [2, 2]
Generated Node #0,2,2: 40:[2, 2] Operation: 38-36=2
Exploring Operation: 36/2=18, Resulting Numbers: [38, 18]
Generated Node #0,2,3: 40:[38, 18] Operation: 36/2=18
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 40:[2, 2], Operations: ['32/16=2', '38-36=2']
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 2-2=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 2*2=4, Resulting Numbers: [4]
4,40 unequal: No Solution
No 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: 40:[38, 38], Operations: ['32/16=2', '36+2=38']
Exploring Operation: 38*38=1444, Resulting Numbers: [1444]
1444,40 unequal: No Solution
Exploring Operation: 38/38=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Exploring Operation: 38-38=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,40 unequal: No Solution
No 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: 40:[36, 40], Operations: ['32/16=2', '38+2=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,40 unequal: No Solution
Exploring Operation: 36*40=1440, Resulting Numbers: [1440]
1440,40 unequal: No Solution
Exploring Operation: 40-36=4, Resulting Numbers: [4]
4,40 unequal: No Solution
No 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: 40:[38, 18], Operations: ['32/16=2', '36/2=18']
Exploring Operation: 38-18=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 38+18=56, Resulting Numbers: [56]
56,40 unequal: No Solution
Exploring Operation: 38*18=684, Resulting Numbers: [684]
684,40 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: 40:[38, 16, 4], Operations: ['36-32=4']
Exploring Operation: 38-16=22, Resulting Numbers: [4, 22]
Generated Node #0,3,0: 40:[4, 22] Operation: 38-16=22
Exploring Operation: 16/4=4, Resulting Numbers: [38, 4]
Generated Node #0,3,1: 40:[38, 4] Operation: 16/4=4
Exploring Operation: 16+4=20, Resulting Numbers: [38, 20]
Generated Node #0,3,2: 40:[38, 20] Operation: 16+4=20
Exploring Operation: 16-4=12, Resulting Numbers: [38, 12]
Generated Node #0,3,3: 40:[38, 12] Operation: 16-4=12
Moving to Node #0,3,0
Current State: 40:[4, 22], Operations: ['36-32=4', '38-16=22']
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,40 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[38, 20], Operations: ['36-32=4', '16+4=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,40 unequal: No Solution
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[38, 4], Operations: ['36-32=4', '16/4=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,40 unequal: No Solution
Exploring Operation: 38-4=34, Resulting Numbers: [34]
34,40 unequal: No Solution
Exploring Operation: 38*4=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[38, 12], Operations: ['36-32=4', '16-4=12']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 38+12=50, Resulting Numbers: [50]
50,40 unequal: No Solution
Exploring Operation: 38*12=456, Resulting Numbers: [456]
456,40 unequal: No Solution
No 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: 40:[16, 36, 6], Operations: ['38-32=6']
Exploring Operation: 36/6=6, Resulting Numbers: [16, 6]
Generated Node #0,0,0: 40:[16, 6] Operation: 36/6=6
Exploring Operation: 16-6=10, Resulting Numbers: [36, 10]
Generated Node #0,0,1: 40:[36, 10] Operation: 16-6=10
Exploring Operation: 16+6=22, Resulting Numbers: [36, 22]
Generated Node #0,0,2: 40:[36, 22] Operation: 16+6=22
Exploring Operation: 36-16=20, Resulting Numbers: [6, 20]
Generated Node #0,0,3: 40:[6, 20] Operation: 36-16=20
Moving to Node #0,0,3
Current State: 40:[6, 20], Operations: ['38-32=6', '36-16=20']
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,40 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Moving to Node #0,0,1
Current State: 40:[36, 10], Operations: ['38-32=6', '16-6=10']
Exploring Operation: 36-10=26, Resulting Numbers: [26]
26,40 unequal: No Solution
Exploring Operation: 36*10=360, Resulting Numbers: [360]
360,40 unequal: No Solution
Exploring Operation: 36+10=46, Resulting Numbers: [46]
46,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[16, 6], Operations: ['38-32=6', '36/6=6']
Exploring Operation: 16+6=22, Resulting Numbers: [22]
22,40 unequal: No Solution
Exploring Operation: 16*6=96, Resulting Numbers: [96]
96,40 unequal: No Solution
Exploring Operation: 16-6=10, Resulting Numbers: [10]
10,40 unequal: No Solution
Moving to Node #0,0,2
Current State: 40:[36, 22], Operations: ['38-32=6', '16+6=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,40 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,40 unequal: No Solution
No 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: 40:[38, 36, 16], Operations: ['32-16=16']
Exploring Operation: 38-36=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 40:[16, 2] Operation: 38-36=2
Exploring Operation: 38-16=22, Resulting Numbers: [36, 22]
Generated Node #0,1,1: 40:[36, 22] Operation: 38-16=22
Exploring Operation: 36-16=20, Resulting Numbers: [38, 20]
Generated Node #0,1,2: 40:[38, 20] Operation: 36-16=20
Exploring Operation: 36+16=52, Resulting Numbers: [38, 52]
Generated Node #0,1,3: 40:[38, 52] Operation: 36+16=52
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 40:[38, 20], Operations: ['32-16=16', '36-16=20']
Exploring Operation: 38-20=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 38*20=760, Resulting Numbers: [760]
760,40 unequal: No Solution
Exploring Operation: 38+20=58, Resulting Numbers: [58]
58,40 unequal: No Solution
No 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: 40:[16, 2], Operations: ['32-16=16', '38-36=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,40 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,40 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,40 unequal: No Solution
No 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: 40:[36, 22], Operations: ['32-16=16', '38-16=22']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 36+22=58, Resulting Numbers: [58]
58,40 unequal: No Solution
Exploring Operation: 36*22=792, Resulting Numbers: [792]
792,40 unequal: No Solution
No 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: 40:[38, 52], Operations: ['32-16=16', '36+16=52']
Exploring Operation: 52-38=14, Resulting Numbers: [14]
14,40 unequal: No Solution
Exploring Operation: 38*52=1976, Resulting Numbers: [1976]
1976,40 unequal: No Solution
Exploring Operation: 38+52=90, Resulting Numbers: [90]
90,40 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 |
[
60,
41,
31,
10
] | 80 | [
"60+41=101",
"31-10=21",
"101-21=80"
] | Current State: 80:[60, 41, 31, 10], Operations: []
Exploring Operation: 60+41=101, Resulting Numbers: [31, 10, 101]
Generated Node #2: [31, 10, 101] from Operation: 60+41=101
Current State: 80:[31, 10, 101], Operations: ['60+41=101']
Exploring Operation: 31-10=21, Resulting Numbers: [101, 21]
Generated Node #3: [101, 21] from Operation: 31-10=21
Current State: 80:[101, 21], Operations: ['60+41=101', '31-10=21']
Exploring Operation: 101-21=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[60, 41, 31, 10], Operations: []
Exploring Operation: 60-41=19, Resulting Numbers: [31, 10, 19]
Generated Node #0,0: 80:[31, 10, 19] Operation: 60-41=19
Moving to Node #0,0
Current State: 80:[31, 10, 19], Operations: ['60-41=19']
Exploring Operation: 31+10=41, Resulting Numbers: [19, 41]
Generated Node #0,0,0: 80:[19, 41] Operation: 31+10=41
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[19, 41], Operations: ['60-41=19', '31+10=41']
Exploring Operation: 41-19=22, Resulting Numbers: [22]
22,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.