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 |
|---|---|---|---|---|---|---|---|---|
[
41,
89,
51,
70
] | 29 | [
"89-41=48",
"70-51=19",
"48-19=29"
] | Current State: 29:[41, 89, 51, 70], Operations: []
Exploring Operation: 89-41=48, Resulting Numbers: [51, 70, 48]
Generated Node #2: [51, 70, 48] from Operation: 89-41=48
Current State: 29:[51, 70, 48], Operations: ['89-41=48']
Exploring Operation: 70-51=19, Resulting Numbers: [48, 19]
Generated Node #3: [48, 19] from Operation: 70-51=19
Current State: 29:[48, 19], Operations: ['89-41=48', '70-51=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[41, 89, 51, 70], Operations: []
Exploring Operation: 70-51=19, Resulting Numbers: [41, 89, 19]
Generated Node #0,0: 29:[41, 89, 19] Operation: 70-51=19
Exploring Operation: 89-51=38, Resulting Numbers: [41, 70, 38]
Generated Node #0,1: 29:[41, 70, 38] Operation: 89-51=38
Exploring Operation: 70-41=29, Resulting Numbers: [89, 51, 29]
Generated Node #0,2: 29:[89, 51, 29] Operation: 70-41=29
Exploring Operation: 89-41=48, Resulting Numbers: [51, 70, 48]
Generated Node #0,3: 29:[51, 70, 48] Operation: 89-41=48
Exploring Operation: 89-70=19, Resulting Numbers: [41, 51, 19]
Generated Node #0,4: 29:[41, 51, 19] Operation: 89-70=19
Moving to Node #0,4
Current State: 29:[41, 51, 19], Operations: ['89-70=19']
Exploring Operation: 51+19=70, Resulting Numbers: [41, 70]
Generated Node #0,4,0: 29:[41, 70] Operation: 51+19=70
Exploring Operation: 41-19=22, Resulting Numbers: [51, 22]
Generated Node #0,4,1: 29:[51, 22] Operation: 41-19=22
Exploring Operation: 51-19=32, Resulting Numbers: [41, 32]
Generated Node #0,4,2: 29:[41, 32] Operation: 51-19=32
Exploring Operation: 41+19=60, Resulting Numbers: [51, 60]
Generated Node #0,4,3: 29:[51, 60] Operation: 41+19=60
Exploring Operation: 51-41=10, Resulting Numbers: [19, 10]
Generated Node #0,4,4: 29:[19, 10] Operation: 51-41=10
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 29:[41, 32], Operations: ['89-70=19', '51-19=32']
Exploring Operation: 41-32=9, Resulting Numbers: [9]
9,29 unequal: No Solution
Exploring Operation: 41*32=1312, Resulting Numbers: [1312]
1312,29 unequal: No Solution
Exploring Operation: 41+32=73, Resulting Numbers: [73]
73,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 29:[51, 22], Operations: ['89-70=19', '41-19=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[41, 89, 51, 70], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [41, 51, 19]
Generated Node #0,4: 29:[41, 51, 19] Operation: 89-70=19
Moving to Node #0,4
Current State: 29:[41, 51, 19], Operations: ['89-70=19']
Exploring Operation: 41-19=22, Resulting Numbers: [51, 22]
Generated Node #0,4,1: 29:[51, 22] Operation: 41-19=22
Moving to Node #0,4,1
Current State: 29:[51, 22], Operations: ['89-70=19', '41-19=22']
Exploring Operation: 51-22=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
81,
54,
89,
45
] | 66 | [
"89-45=44",
"81*44=3564",
"3564/54=66"
] | Current State: 66:[81, 54, 89, 45], Operations: []
Exploring Operation: 89-45=44, Resulting Numbers: [81, 54, 44]
Generated Node #2: [81, 54, 44] from Operation: 89-45=44
Current State: 66:[81, 54, 44], Operations: ['89-45=44']
Exploring Operation: 81*44=3564, Resulting Numbers: [54, 3564]
Generated Node #3: [54, 3564] from Operation: 81*44=3564
Current State: 66:[54, 3564], Operations: ['89-45=44', '81*44=3564']
Exploring Operation: 3564/54=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[81, 54, 89, 45], Operations: []
Exploring Operation: 81-54=27, Resulting Numbers: [89, 45, 27]
Generated Node #0,0: 66:[89, 45, 27] Operation: 81-54=27
Exploring Operation: 89-81=8, Resulting Numbers: [54, 45, 8]
Generated Node #0,1: 66:[54, 45, 8] Operation: 89-81=8
Exploring Operation: 89-54=35, Resulting Numbers: [81, 45, 35]
Generated Node #0,2: 66:[81, 45, 35] Operation: 89-54=35
Exploring Operation: 89-45=44, Resulting Numbers: [81, 54, 44]
Generated Node #0,3: 66:[81, 54, 44] Operation: 89-45=44
Exploring Operation: 81-45=36, Resulting Numbers: [54, 89, 36]
Generated Node #0,4: 66:[54, 89, 36] Operation: 81-45=36
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[54, 45, 8], Operations: ['89-81=8']
Exploring Operation: 45-8=37, Resulting Numbers: [54, 37]
Generated Node #0,1,0: 66:[54, 37] Operation: 45-8=37
Exploring Operation: 45+8=53, Resulting Numbers: [54, 53]
Generated Node #0,1,1: 66:[54, 53] Operation: 45+8=53
Exploring Operation: 54-8=46, Resulting Numbers: [45, 46]
Generated Node #0,1,2: 66:[45, 46] Operation: 54-8=46
Exploring Operation: 54+8=62, Resulting Numbers: [45, 62]
Generated Node #0,1,3: 66:[45, 62] Operation: 54+8=62
Exploring Operation: 54-45=9, Resulting Numbers: [8, 9]
Generated Node #0,1,4: 66:[8, 9] Operation: 54-45=9
Moving to Node #0,1,4
Current State: 66:[8, 9], Operations: ['89-81=8', '54-45=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[45, 62], Operations: ['89-81=8', '54+8=62']
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,66 unequal: No Solution
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[54, 37], Operations: ['89-81=8', '45-8=37']
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,66 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[54, 53], Operations: ['89-81=8', '45+8=53']
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,66 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Moving to Node #0,1,2
Current State: 66:[45, 46], Operations: ['89-81=8', '54-8=46']
Exploring Operation: 45*46=2070, Resulting Numbers: [2070]
2070,66 unequal: No Solution
Exploring Operation: 45+46=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 46-45=1, Resulting Numbers: [1]
1,66 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
Current State: 66:[81, 45, 35], Operations: ['89-54=35']
Exploring Operation: 45-35=10, Resulting Numbers: [81, 10]
Generated Node #0,2,0: 66:[81, 10] Operation: 45-35=10
Exploring Operation: 81-45=36, Resulting Numbers: [35, 36]
Generated Node #0,2,1: 66:[35, 36] Operation: 81-45=36
Exploring Operation: 81+45=126, Resulting Numbers: [35, 126]
Generated Node #0,2,2: 66:[35, 126] Operation: 81+45=126
Exploring Operation: 45+35=80, Resulting Numbers: [81, 80]
Generated Node #0,2,3: 66:[81, 80] Operation: 45+35=80
Exploring Operation: 81-35=46, Resulting Numbers: [45, 46]
Generated Node #0,2,4: 66:[45, 46] Operation: 81-35=46
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 66:[35, 36], Operations: ['89-54=35', '81-45=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 35*36=1260, Resulting Numbers: [1260]
1260,66 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 66:[81, 10], Operations: ['89-54=35', '45-35=10']
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,66 unequal: No Solution
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 66:[45, 46], Operations: ['89-54=35', '81-35=46']
Exploring Operation: 45*46=2070, Resulting Numbers: [2070]
2070,66 unequal: No Solution
Exploring Operation: 45+46=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 46-45=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 66:[81, 80], Operations: ['89-54=35', '45+35=80']
Exploring Operation: 81*80=6480, Resulting Numbers: [6480]
6480,66 unequal: No Solution
Exploring Operation: 81+80=161, Resulting Numbers: [161]
161,66 unequal: No Solution
Exploring Operation: 81-80=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 66:[35, 126], Operations: ['89-54=35', '81+45=126']
Exploring Operation: 35+126=161, Resulting Numbers: [161]
161,66 unequal: No Solution
Exploring Operation: 35*126=4410, Resulting Numbers: [4410]
4410,66 unequal: No Solution
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 66:[81, 54, 44], Operations: ['89-45=44']
Exploring Operation: 54-44=10, Resulting Numbers: [81, 10]
Generated Node #0,3,0: 66:[81, 10] Operation: 54-44=10
Exploring Operation: 81-44=37, Resulting Numbers: [54, 37]
Generated Node #0,3,1: 66:[54, 37] Operation: 81-44=37
Exploring Operation: 81+44=125, Resulting Numbers: [54, 125]
Generated Node #0,3,2: 66:[54, 125] Operation: 81+44=125
Exploring Operation: 54+44=98, Resulting Numbers: [81, 98]
Generated Node #0,3,3: 66:[81, 98] Operation: 54+44=98
Exploring Operation: 81-54=27, Resulting Numbers: [44, 27]
Generated Node #0,3,4: 66:[44, 27] Operation: 81-54=27
Moving to Node #0,3,0
Current State: 66:[81, 10], Operations: ['89-45=44', '54-44=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 81*10=810, Resulting Numbers: [810]
810,66 unequal: No Solution
Exploring Operation: 81-10=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Moving to Node #0,3,4
Current State: 66:[44, 27], Operations: ['89-45=44', '81-54=27']
Exploring Operation: 44*27=1188, Resulting Numbers: [1188]
1188,66 unequal: No Solution
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 44+27=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Moving to Node #0,3,1
Current State: 66:[54, 37], Operations: ['89-45=44', '81-44=37']
Exploring Operation: 54+37=91, Resulting Numbers: [91]
91,66 unequal: No Solution
Exploring Operation: 54-37=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 54*37=1998, Resulting Numbers: [1998]
1998,66 unequal: No Solution
Moving to Node #0,3,3
Current State: 66:[81, 98], Operations: ['89-45=44', '54+44=98']
Exploring Operation: 81+98=179, Resulting Numbers: [179]
179,66 unequal: No Solution
Exploring Operation: 81*98=7938, Resulting Numbers: [7938]
7938,66 unequal: No Solution
Exploring Operation: 98-81=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Moving to Node #0,3,2
Current State: 66:[54, 125], Operations: ['89-45=44', '81+44=125']
Exploring Operation: 125-54=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 54*125=6750, Resulting Numbers: [6750]
6750,66 unequal: No Solution
Exploring Operation: 54+125=179, Resulting Numbers: [179]
179,66 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
Current State: 66:[54, 89, 36], Operations: ['81-45=36']
Exploring Operation: 89+36=125, Resulting Numbers: [54, 125]
Generated Node #0,4,0: 66:[54, 125] Operation: 89+36=125
Exploring Operation: 54+36=90, Resulting Numbers: [89, 90]
Generated Node #0,4,1: 66:[89, 90] Operation: 54+36=90
Exploring Operation: 54-36=18, Resulting Numbers: [89, 18]
Generated Node #0,4,2: 66:[89, 18] Operation: 54-36=18
Exploring Operation: 89-54=35, Resulting Numbers: [36, 35]
Generated Node #0,4,3: 66:[36, 35] Operation: 89-54=35
Exploring Operation: 89-36=53, Resulting Numbers: [54, 53]
Generated Node #0,4,4: 66:[54, 53] Operation: 89-36=53
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 66:[36, 35], Operations: ['81-45=36', '89-54=35']
Exploring Operation: 36*35=1260, Resulting Numbers: [1260]
1260,66 unequal: No Solution
Exploring Operation: 36+35=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 66:[54, 53], Operations: ['81-45=36', '89-36=53']
Exploring Operation: 54-53=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 54+53=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 54*53=2862, Resulting Numbers: [2862]
2862,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 66:[89, 18], Operations: ['81-45=36', '54-36=18']
Exploring Operation: 89+18=107, Resulting Numbers: [107]
107,66 unequal: No Solution
Exploring Operation: 89*18=1602, Resulting Numbers: [1602]
1602,66 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 66:[89, 90], Operations: ['81-45=36', '54+36=90']
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,66 unequal: No Solution
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,66 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 66:[54, 125], Operations: ['81-45=36', '89+36=125']
Exploring Operation: 125-54=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 54+125=179, Resulting Numbers: [179]
179,66 unequal: No Solution
Exploring Operation: 54*125=6750, Resulting Numbers: [6750]
6750,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[89, 45, 27], Operations: ['81-54=27']
Exploring Operation: 45-27=18, Resulting Numbers: [89, 18]
Generated Node #0,0,0: 66:[89, 18] Operation: 45-27=18
Exploring Operation: 45+27=72, Resulting Numbers: [89, 72]
Generated Node #0,0,1: 66:[89, 72] Operation: 45+27=72
Exploring Operation: 89-27=62, Resulting Numbers: [45, 62]
Generated Node #0,0,2: 66:[45, 62] Operation: 89-27=62
Exploring Operation: 89+27=116, Resulting Numbers: [45, 116]
Generated Node #0,0,3: 66:[45, 116] Operation: 89+27=116
Exploring Operation: 89-45=44, Resulting Numbers: [27, 44]
Generated Node #0,0,4: 66:[27, 44] Operation: 89-45=44
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[45, 62], Operations: ['81-54=27', '89-27=62']
Exploring Operation: 45*62=2790, Resulting Numbers: [2790]
2790,66 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 45+62=107, Resulting Numbers: [107]
107,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 66:[27, 44], Operations: ['81-54=27', '89-45=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 27*44=1188, Resulting Numbers: [1188]
1188,66 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[89, 18], Operations: ['81-54=27', '45-27=18']
Exploring Operation: 89*18=1602, Resulting Numbers: [1602]
1602,66 unequal: No Solution
Exploring Operation: 89-18=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 89+18=107, Resulting Numbers: [107]
107,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[89, 72], Operations: ['81-54=27', '45+27=72']
Exploring Operation: 89*72=6408, Resulting Numbers: [6408]
6408,66 unequal: No Solution
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 89+72=161, Resulting Numbers: [161]
161,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[45, 116], Operations: ['81-54=27', '89+27=116']
Exploring Operation: 45*116=5220, Resulting Numbers: [5220]
5220,66 unequal: No Solution
Exploring Operation: 116-45=71, Resulting Numbers: [71]
71,66 unequal: No Solution
Exploring Operation: 45+116=161, Resulting Numbers: [161]
161,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
60,
73,
9,
37
] | 87 | [
"60+73=133",
"9+37=46",
"133-46=87"
] | Current State: 87:[60, 73, 9, 37], Operations: []
Exploring Operation: 60+73=133, Resulting Numbers: [9, 37, 133]
Generated Node #2: [9, 37, 133] from Operation: 60+73=133
Current State: 87:[9, 37, 133], Operations: ['60+73=133']
Exploring Operation: 9+37=46, Resulting Numbers: [133, 46]
Generated Node #3: [133, 46] from Operation: 9+37=46
Current State: 87:[133, 46], Operations: ['60+73=133', '9+37=46']
Exploring Operation: 133-46=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[60, 73, 9, 37], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [73, 9, 23]
Generated Node #0,0: 87:[73, 9, 23] Operation: 60-37=23
Exploring Operation: 73-60=13, Resulting Numbers: [9, 37, 13]
Generated Node #0,1: 87:[9, 37, 13] Operation: 73-60=13
Exploring Operation: 60+37=97, Resulting Numbers: [73, 9, 97]
Generated Node #0,2: 87:[73, 9, 97] Operation: 60+37=97
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[9, 37, 13], Operations: ['73-60=13']
Exploring Operation: 13-9=4, Resulting Numbers: [37, 4]
Generated Node #0,1,0: 87:[37, 4] Operation: 13-9=4
Exploring Operation: 37-9=28, Resulting Numbers: [13, 28]
Generated Node #0,1,1: 87:[13, 28] Operation: 37-9=28
Exploring Operation: 37-13=24, Resulting Numbers: [9, 24]
Generated Node #0,1,2: 87:[9, 24] Operation: 37-13=24
Moving to Node #0,1,0
Current State: 87:[37, 4], Operations: ['73-60=13', '13-9=4']
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[13, 28], Operations: ['73-60=13', '37-9=28']
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 13*28=364, Resulting Numbers: [364]
364,87 unequal: No Solution
Exploring Operation: 13+28=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Moving to Node #0,1,2
Current State: 87:[9, 24], Operations: ['73-60=13', '37-13=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,87 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[73, 9, 23], Operations: ['60-37=23']
Exploring Operation: 73+23=96, Resulting Numbers: [9, 96]
Generated Node #0,0,0: 87:[9, 96] Operation: 73+23=96
Exploring Operation: 73+9=82, Resulting Numbers: [23, 82]
Generated Node #0,0,1: 87:[23, 82] Operation: 73+9=82
Exploring Operation: 9+23=32, Resulting Numbers: [73, 32]
Generated Node #0,0,2: 87:[73, 32] Operation: 9+23=32
Moving to Node #0,0,1
Current State: 87:[23, 82], Operations: ['60-37=23', '73+9=82']
Exploring Operation: 23+82=105, Resulting Numbers: [105]
105,87 unequal: No Solution
Exploring Operation: 23*82=1886, Resulting Numbers: [1886]
1886,87 unequal: No Solution
Exploring Operation: 82-23=59, Resulting Numbers: [59]
59,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[9, 96], Operations: ['60-37=23', '73+23=96']
Exploring Operation: 9*96=864, Resulting Numbers: [864]
864,87 unequal: No Solution
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[60, 73, 9, 37], Operations: []
Exploring Operation: 60-37=23, Resulting Numbers: [73, 9, 23]
Generated Node #0,0: 87:[73, 9, 23] Operation: 60-37=23
Moving to Node #0,0
Current State: 87:[73, 9, 23], Operations: ['60-37=23']
Exploring Operation: 73+23=96, Resulting Numbers: [9, 96]
Generated Node #0,0,0: 87:[9, 96] Operation: 73+23=96
Moving to Node #0,0,0
Current State: 87:[9, 96], Operations: ['60-37=23', '73+23=96']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | sum_heuristic |
[
40,
48,
16,
14
] | 10 | [
"48-40=8",
"16-14=2",
"8+2=10"
] | Current State: 10:[40, 48, 16, 14], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [16, 14, 8]
Generated Node #2: [16, 14, 8] from Operation: 48-40=8
Current State: 10:[16, 14, 8], Operations: ['48-40=8']
Exploring Operation: 16-14=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 16-14=2
Current State: 10:[8, 2], Operations: ['48-40=8', '16-14=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[40, 48, 16, 14], Operations: []
Exploring Operation: 40-16=24, Resulting Numbers: [48, 14, 24]
Generated Node #0,0: 10:[48, 14, 24] Operation: 40-16=24
Exploring Operation: 48-16=32, Resulting Numbers: [40, 14, 32]
Generated Node #0,1: 10:[40, 14, 32] Operation: 48-16=32
Exploring Operation: 48/16=3, Resulting Numbers: [40, 14, 3]
Generated Node #0,2: 10:[40, 14, 3] Operation: 48/16=3
Exploring Operation: 48-40=8, Resulting Numbers: [16, 14, 8]
Generated Node #0,3: 10:[16, 14, 8] Operation: 48-40=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 10:[16, 14, 8], Operations: ['48-40=8']
Exploring Operation: 16-8=8, Resulting Numbers: [14, 8]
Generated Node #0,3,0: 10:[14, 8] Operation: 16-8=8
Exploring Operation: 14-8=6, Resulting Numbers: [16, 6]
Generated Node #0,3,1: 10:[16, 6] Operation: 14-8=6
Exploring Operation: 16/8=2, Resulting Numbers: [14, 2]
Generated Node #0,3,2: 10:[14, 2] Operation: 16/8=2
Exploring Operation: 16-14=2, Resulting Numbers: [8, 2]
Generated Node #0,3,3: 10:[8, 2] Operation: 16-14=2
Moving to Node #0,3,3
Current State: 10:[8, 2], Operations: ['48-40=8', '16-14=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[40, 48, 16, 14], Operations: []
Exploring Operation: 48-40=8, Resulting Numbers: [16, 14, 8]
Generated Node #0,3: 10:[16, 14, 8] Operation: 48-40=8
Moving to Node #0,3
Current State: 10:[16, 14, 8], Operations: ['48-40=8']
Exploring Operation: 16-14=2, Resulting Numbers: [8, 2]
Generated Node #0,3,3: 10:[8, 2] Operation: 16-14=2
Moving to Node #0,3,3
Current State: 10:[8, 2], Operations: ['48-40=8', '16-14=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
15,
42,
42,
59
] | 73 | [
"15+59=74",
"42/42=1",
"74-1=73"
] | Current State: 73:[15, 42, 42, 59], Operations: []
Exploring Operation: 15+59=74, Resulting Numbers: [42, 42, 74]
Generated Node #2: [42, 42, 74] from Operation: 15+59=74
Current State: 73:[42, 42, 74], Operations: ['15+59=74']
Exploring Operation: 42/42=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 42/42=1
Current State: 73:[74, 1], Operations: ['15+59=74', '42/42=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[15, 42, 42, 59], Operations: []
Exploring Operation: 15+42=57, Resulting Numbers: [42, 59, 57]
Generated Node #0,0: 73:[42, 59, 57] Operation: 15+42=57
Exploring Operation: 42-15=27, Resulting Numbers: [42, 59, 27]
Generated Node #0,1: 73:[42, 59, 27] Operation: 42-15=27
Exploring Operation: 15+42=57, Resulting Numbers: [42, 59, 57]
Generated Node #0,2: 73:[42, 59, 57] Operation: 15+42=57
Exploring Operation: 15+59=74, Resulting Numbers: [42, 42, 74]
Generated Node #0,3: 73:[42, 42, 74] Operation: 15+59=74
Exploring Operation: 42+42=84, Resulting Numbers: [15, 59, 84]
Generated Node #0,4: 73:[15, 59, 84] Operation: 42+42=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[42, 59, 57], Operations: ['15+42=57']
Exploring Operation: 59-42=17, Resulting Numbers: [57, 17]
Generated Node #0,0,0: 73:[57, 17] Operation: 59-42=17
Exploring Operation: 42+57=99, Resulting Numbers: [59, 99]
Generated Node #0,0,1: 73:[59, 99] Operation: 42+57=99
Exploring Operation: 59+57=116, Resulting Numbers: [42, 116]
Generated Node #0,0,2: 73:[42, 116] Operation: 59+57=116
Exploring Operation: 57-42=15, Resulting Numbers: [59, 15]
Generated Node #0,0,3: 73:[59, 15] Operation: 57-42=15
Exploring Operation: 42+59=101, Resulting Numbers: [57, 101]
Generated Node #0,0,4: 73:[57, 101] Operation: 42+59=101
Moving to Node #0,0,1
Current State: 73:[59, 99], Operations: ['15+42=57', '42+57=99']
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 59+99=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 59*99=5841, Resulting Numbers: [5841]
5841,73 unequal: No Solution
Moving to Node #0,0,4
Current State: 73:[57, 101], Operations: ['15+42=57', '42+59=101']
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,73 unequal: No Solution
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[57, 17], Operations: ['15+42=57', '59-42=17']
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[59, 15], Operations: ['15+42=57', '57-42=15']
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,73 unequal: No Solution
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[42, 116], Operations: ['15+42=57', '59+57=116']
Exploring Operation: 42*116=4872, Resulting Numbers: [4872]
4872,73 unequal: No Solution
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 42+116=158, Resulting Numbers: [158]
158,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[42, 59, 57], Operations: ['15+42=57']
Exploring Operation: 57-42=15, Resulting Numbers: [59, 15]
Generated Node #0,2,0: 73:[59, 15] Operation: 57-42=15
Exploring Operation: 59+57=116, Resulting Numbers: [42, 116]
Generated Node #0,2,1: 73:[42, 116] Operation: 59+57=116
Exploring Operation: 59-42=17, Resulting Numbers: [57, 17]
Generated Node #0,2,2: 73:[57, 17] Operation: 59-42=17
Exploring Operation: 42+59=101, Resulting Numbers: [57, 101]
Generated Node #0,2,3: 73:[57, 101] Operation: 42+59=101
Exploring Operation: 42+57=99, Resulting Numbers: [59, 99]
Generated Node #0,2,4: 73:[59, 99] Operation: 42+57=99
Moving to Node #0,2,4
Current State: 73:[59, 99], Operations: ['15+42=57', '42+57=99']
Exploring Operation: 99-59=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Exploring Operation: 59+99=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 59*99=5841, Resulting Numbers: [5841]
5841,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[57, 101], Operations: ['15+42=57', '42+59=101']
Exploring Operation: 101-57=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 57+101=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 57*101=5757, Resulting Numbers: [5757]
5757,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[59, 15], Operations: ['15+42=57', '57-42=15']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,73 unequal: No Solution
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[57, 17], Operations: ['15+42=57', '59-42=17']
Exploring Operation: 57+17=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 57*17=969, Resulting Numbers: [969]
969,73 unequal: No Solution
Exploring Operation: 57-17=40, Resulting Numbers: [40]
40,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[42, 116], Operations: ['15+42=57', '59+57=116']
Exploring Operation: 116-42=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 42+116=158, Resulting Numbers: [158]
158,73 unequal: No Solution
Exploring Operation: 42*116=4872, Resulting Numbers: [4872]
4872,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[42, 42, 74], Operations: ['15+59=74']
Exploring Operation: 42-42=0, Resulting Numbers: [74, 0]
Generated Node #0,3,0: 73:[74, 0] Operation: 42-42=0
Exploring Operation: 42/42=1, Resulting Numbers: [74, 1]
Generated Node #0,3,1: 73:[74, 1] Operation: 42/42=1
Exploring Operation: 74-42=32, Resulting Numbers: [42, 32]
Generated Node #0,3,2: 73:[42, 32] Operation: 74-42=32
Exploring Operation: 74-42=32, Resulting Numbers: [42, 32]
Generated Node #0,3,3: 73:[42, 32] Operation: 74-42=32
Exploring Operation: 42+42=84, Resulting Numbers: [74, 84]
Generated Node #0,3,4: 73:[74, 84] Operation: 42+42=84
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 73:[74, 84], Operations: ['15+59=74', '42+42=84']
Exploring Operation: 84-74=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 74*84=6216, Resulting Numbers: [6216]
6216,73 unequal: No Solution
Exploring Operation: 74+84=158, Resulting Numbers: [158]
158,73 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 #0,3,2
Current State: 73:[42, 32], Operations: ['15+59=74', '74-42=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,73 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,73 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 #0,3,3
Current State: 73:[42, 32], Operations: ['15+59=74', '74-42=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,73 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,73 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,73 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: ['15+59=74', '42/42=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[15, 42, 42, 59], Operations: []
Exploring Operation: 15+59=74, Resulting Numbers: [42, 42, 74]
Generated Node #0,3: 73:[42, 42, 74] Operation: 15+59=74
Moving to Node #0,3
Current State: 73:[42, 42, 74], Operations: ['15+59=74']
Exploring Operation: 42/42=1, Resulting Numbers: [74, 1]
Generated Node #0,3,1: 73:[74, 1] Operation: 42/42=1
Moving to Node #0,3,1
Current State: 73:[74, 1], Operations: ['15+59=74', '42/42=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
| 0.944444 | hs_5 | mult_heuristic |
[
15,
88,
26,
27
] | 50 | [
"15+88=103",
"26+27=53",
"103-53=50"
] | Current State: 50:[15, 88, 26, 27], Operations: []
Exploring Operation: 15+88=103, Resulting Numbers: [26, 27, 103]
Generated Node #2: [26, 27, 103] from Operation: 15+88=103
Current State: 50:[26, 27, 103], Operations: ['15+88=103']
Exploring Operation: 26+27=53, Resulting Numbers: [103, 53]
Generated Node #3: [103, 53] from Operation: 26+27=53
Current State: 50:[103, 53], Operations: ['15+88=103', '26+27=53']
Exploring Operation: 103-53=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[15, 88, 26, 27], Operations: []
Exploring Operation: 88-27=61, Resulting Numbers: [15, 26, 61]
Generated Node #0,0: 50:[15, 26, 61] Operation: 88-27=61
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[15, 26, 61], Operations: ['88-27=61']
Exploring Operation: 61-15=46, Resulting Numbers: [26, 46]
Generated Node #0,0,0: 50:[26, 46] Operation: 61-15=46
Moving to Node #0,0,0
Current State: 50:[26, 46], Operations: ['88-27=61', '61-15=46']
Exploring Operation: 46-26=20, Resulting Numbers: [20]
20,50 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 |
[
93,
91,
78,
52
] | 97 | [
"91-78=13",
"52/13=4",
"93+4=97"
] | Current State: 97:[93, 91, 78, 52], Operations: []
Exploring Operation: 91-78=13, Resulting Numbers: [93, 52, 13]
Generated Node #2: [93, 52, 13] from Operation: 91-78=13
Current State: 97:[93, 52, 13], Operations: ['91-78=13']
Exploring Operation: 52/13=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 52/13=4
Current State: 97:[93, 4], Operations: ['91-78=13', '52/13=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[93, 91, 78, 52], Operations: []
Exploring Operation: 93-52=41, Resulting Numbers: [91, 78, 41]
Generated Node #0,0: 97:[91, 78, 41] Operation: 93-52=41
Exploring Operation: 93+52=145, Resulting Numbers: [91, 78, 145]
Generated Node #0,1: 97:[91, 78, 145] Operation: 93+52=145
Exploring Operation: 78+52=130, Resulting Numbers: [93, 91, 130]
Generated Node #0,2: 97:[93, 91, 130] Operation: 78+52=130
Exploring Operation: 91+52=143, Resulting Numbers: [93, 78, 143]
Generated Node #0,3: 97:[93, 78, 143] Operation: 91+52=143
Start Sub Search at level 1: Moving to Node #0,2
Current State: 97:[93, 91, 130], Operations: ['78+52=130']
Exploring Operation: 130-91=39, Resulting Numbers: [93, 39]
Generated Node #0,2,0: 97:[93, 39] Operation: 130-91=39
Exploring Operation: 130-93=37, Resulting Numbers: [91, 37]
Generated Node #0,2,1: 97:[91, 37] Operation: 130-93=37
Exploring Operation: 93-91=2, Resulting Numbers: [130, 2]
Generated Node #0,2,2: 97:[130, 2] Operation: 93-91=2
Exploring Operation: 93+91=184, Resulting Numbers: [130, 184]
Generated Node #0,2,3: 97:[130, 184] Operation: 93+91=184
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 97:[93, 39], Operations: ['78+52=130', '130-91=39']
Exploring Operation: 93-39=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 93*39=3627, Resulting Numbers: [3627]
3627,97 unequal: No Solution
Exploring Operation: 93+39=132, Resulting Numbers: [132]
132,97 unequal: No Solution
No 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: 97:[91, 37], Operations: ['78+52=130', '130-93=37']
Exploring Operation: 91-37=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 91+37=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 91*37=3367, Resulting Numbers: [3367]
3367,97 unequal: No Solution
No 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: 97:[130, 184], Operations: ['78+52=130', '93+91=184']
Exploring Operation: 130+184=314, Resulting Numbers: [314]
314,97 unequal: No Solution
Exploring Operation: 184-130=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 130*184=23920, Resulting Numbers: [23920]
23920,97 unequal: No Solution
No 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: 97:[130, 2], Operations: ['78+52=130', '93-91=2']
Exploring Operation: 130*2=260, Resulting Numbers: [260]
260,97 unequal: No Solution
Exploring Operation: 130+2=132, Resulting Numbers: [132]
132,97 unequal: No Solution
Exploring Operation: 130-2=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 130/2=65, Resulting Numbers: [65]
65,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 97:[93, 78, 143], Operations: ['91+52=143']
Exploring Operation: 143-93=50, Resulting Numbers: [78, 50]
Generated Node #0,3,0: 97:[78, 50] Operation: 143-93=50
Exploring Operation: 143-78=65, Resulting Numbers: [93, 65]
Generated Node #0,3,1: 97:[93, 65] Operation: 143-78=65
Exploring Operation: 93+78=171, Resulting Numbers: [143, 171]
Generated Node #0,3,2: 97:[143, 171] Operation: 93+78=171
Exploring Operation: 93-78=15, Resulting Numbers: [143, 15]
Generated Node #0,3,3: 97:[143, 15] Operation: 93-78=15
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 97:[93, 65], Operations: ['91+52=143', '143-78=65']
Exploring Operation: 93*65=6045, Resulting Numbers: [6045]
6045,97 unequal: No Solution
Exploring Operation: 93-65=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 93+65=158, Resulting Numbers: [158]
158,97 unequal: No Solution
No 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: 97:[78, 50], Operations: ['91+52=143', '143-93=50']
Exploring Operation: 78+50=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 78*50=3900, Resulting Numbers: [3900]
3900,97 unequal: No Solution
No 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: 97:[143, 171], Operations: ['91+52=143', '93+78=171']
Exploring Operation: 143+171=314, Resulting Numbers: [314]
314,97 unequal: No Solution
Exploring Operation: 143*171=24453, Resulting Numbers: [24453]
24453,97 unequal: No Solution
Exploring Operation: 171-143=28, Resulting Numbers: [28]
28,97 unequal: No Solution
No 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: 97:[143, 15], Operations: ['91+52=143', '93-78=15']
Exploring Operation: 143-15=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 143+15=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 143*15=2145, Resulting Numbers: [2145]
2145,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[91, 78, 145], Operations: ['93+52=145']
Exploring Operation: 145-91=54, Resulting Numbers: [78, 54]
Generated Node #0,1,0: 97:[78, 54] Operation: 145-91=54
Exploring Operation: 91-78=13, Resulting Numbers: [145, 13]
Generated Node #0,1,1: 97:[145, 13] Operation: 91-78=13
Exploring Operation: 145-78=67, Resulting Numbers: [91, 67]
Generated Node #0,1,2: 97:[91, 67] Operation: 145-78=67
Exploring Operation: 91+78=169, Resulting Numbers: [145, 169]
Generated Node #0,1,3: 97:[145, 169] Operation: 91+78=169
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 97:[91, 67], Operations: ['93+52=145', '145-78=67']
Exploring Operation: 91*67=6097, Resulting Numbers: [6097]
6097,97 unequal: No Solution
Exploring Operation: 91+67=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,97 unequal: No Solution
No 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: 97:[78, 54], Operations: ['93+52=145', '145-91=54']
Exploring Operation: 78+54=132, Resulting Numbers: [132]
132,97 unequal: No Solution
Exploring Operation: 78-54=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 78*54=4212, Resulting Numbers: [4212]
4212,97 unequal: No Solution
No 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: 97:[145, 169], Operations: ['93+52=145', '91+78=169']
Exploring Operation: 145*169=24505, Resulting Numbers: [24505]
24505,97 unequal: No Solution
Exploring Operation: 169-145=24, Resulting Numbers: [24]
24,97 unequal: No Solution
Exploring Operation: 145+169=314, Resulting Numbers: [314]
314,97 unequal: No Solution
No 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: 97:[145, 13], Operations: ['93+52=145', '91-78=13']
Exploring Operation: 145*13=1885, Resulting Numbers: [1885]
1885,97 unequal: No Solution
Exploring Operation: 145+13=158, Resulting Numbers: [158]
158,97 unequal: No Solution
Exploring Operation: 145-13=132, Resulting Numbers: [132]
132,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[91, 78, 41], Operations: ['93-52=41']
Exploring Operation: 91+41=132, Resulting Numbers: [78, 132]
Generated Node #0,0,0: 97:[78, 132] Operation: 91+41=132
Exploring Operation: 91-41=50, Resulting Numbers: [78, 50]
Generated Node #0,0,1: 97:[78, 50] Operation: 91-41=50
Exploring Operation: 78-41=37, Resulting Numbers: [91, 37]
Generated Node #0,0,2: 97:[91, 37] Operation: 78-41=37
Exploring Operation: 78+41=119, Resulting Numbers: [91, 119]
Generated Node #0,0,3: 97:[91, 119] Operation: 78+41=119
Moving to Node #0,0,3
Current State: 97:[91, 119], Operations: ['93-52=41', '78+41=119']
Exploring Operation: 91+119=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 119-91=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 91*119=10829, Resulting Numbers: [10829]
10829,97 unequal: No Solution
Moving to Node #0,0,0
Current State: 97:[78, 132], Operations: ['93-52=41', '91+41=132']
Exploring Operation: 78+132=210, Resulting Numbers: [210]
210,97 unequal: No Solution
Exploring Operation: 132-78=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 78*132=10296, Resulting Numbers: [10296]
10296,97 unequal: No Solution
Moving to Node #0,0,2
Current State: 97:[91, 37], Operations: ['93-52=41', '78-41=37']
Exploring Operation: 91+37=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 91-37=54, Resulting Numbers: [54]
54,97 unequal: No Solution
Exploring Operation: 91*37=3367, Resulting Numbers: [3367]
3367,97 unequal: No Solution
Moving to Node #0,0,1
Current State: 97:[78, 50], Operations: ['93-52=41', '91-41=50']
Exploring Operation: 78-50=28, Resulting Numbers: [28]
28,97 unequal: No Solution
Exploring Operation: 78+50=128, Resulting Numbers: [128]
128,97 unequal: No Solution
Exploring Operation: 78*50=3900, Resulting Numbers: [3900]
3900,97 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 |
[
28,
15,
79,
2
] | 79 | [
"28/2=14",
"15-14=1",
"79*1=79"
] | Current State: 79:[28, 15, 79, 2], Operations: []
Exploring Operation: 28/2=14, Resulting Numbers: [15, 79, 14]
Generated Node #2: [15, 79, 14] from Operation: 28/2=14
Current State: 79:[15, 79, 14], Operations: ['28/2=14']
Exploring Operation: 15-14=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 15-14=1
Current State: 79:[79, 1], Operations: ['28/2=14', '15-14=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[28, 15, 79, 2], Operations: []
Exploring Operation: 15+2=17, Resulting Numbers: [28, 79, 17]
Generated Node #0,0: 79:[28, 79, 17] Operation: 15+2=17
Exploring Operation: 28+2=30, Resulting Numbers: [15, 79, 30]
Generated Node #0,1: 79:[15, 79, 30] Operation: 28+2=30
Exploring Operation: 15*2=30, Resulting Numbers: [28, 79, 30]
Generated Node #0,2: 79:[28, 79, 30] Operation: 15*2=30
Exploring Operation: 28+15=43, Resulting Numbers: [79, 2, 43]
Generated Node #0,3: 79:[79, 2, 43] Operation: 28+15=43
Exploring Operation: 28*2=56, Resulting Numbers: [15, 79, 56]
Generated Node #0,4: 79:[15, 79, 56] Operation: 28*2=56
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[15, 79, 56], Operations: ['28*2=56']
Exploring Operation: 56-15=41, Resulting Numbers: [79, 41]
Generated Node #0,4,0: 79:[79, 41] Operation: 56-15=41
Exploring Operation: 15+56=71, Resulting Numbers: [79, 71]
Generated Node #0,4,1: 79:[79, 71] Operation: 15+56=71
Exploring Operation: 15+79=94, Resulting Numbers: [56, 94]
Generated Node #0,4,2: 79:[56, 94] Operation: 15+79=94
Exploring Operation: 79-15=64, Resulting Numbers: [56, 64]
Generated Node #0,4,3: 79:[56, 64] Operation: 79-15=64
Exploring Operation: 79+56=135, Resulting Numbers: [15, 135]
Generated Node #0,4,4: 79:[15, 135] Operation: 79+56=135
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 79:[79, 71], Operations: ['28*2=56', '15+56=71']
Exploring Operation: 79+71=150, Resulting Numbers: [150]
150,79 unequal: No Solution
Exploring Operation: 79*71=5609, Resulting Numbers: [5609]
5609,79 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,79 unequal: No Solution
No 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: 79:[79, 41], Operations: ['28*2=56', '56-15=41']
Exploring Operation: 79*41=3239, Resulting Numbers: [3239]
3239,79 unequal: No Solution
Exploring Operation: 79+41=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,79 unequal: No Solution
No 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: 79:[56, 94], Operations: ['28*2=56', '15+79=94']
Exploring Operation: 94-56=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 56*94=5264, Resulting Numbers: [5264]
5264,79 unequal: No Solution
Exploring Operation: 56+94=150, Resulting Numbers: [150]
150,79 unequal: No Solution
No 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: 79:[56, 64], Operations: ['28*2=56', '79-15=64']
Exploring Operation: 64-56=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 56*64=3584, Resulting Numbers: [3584]
3584,79 unequal: No Solution
Exploring Operation: 56+64=120, Resulting Numbers: [120]
120,79 unequal: No Solution
No 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: 79:[15, 135], Operations: ['28*2=56', '79+56=135']
Exploring Operation: 135-15=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 135/15=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 15*135=2025, Resulting Numbers: [2025]
2025,79 unequal: No Solution
Exploring Operation: 15+135=150, Resulting Numbers: [150]
150,79 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: 79:[28, 79, 30], Operations: ['15*2=30']
Exploring Operation: 28+79=107, Resulting Numbers: [30, 107]
Generated Node #0,2,0: 79:[30, 107] Operation: 28+79=107
Exploring Operation: 79-28=51, Resulting Numbers: [30, 51]
Generated Node #0,2,1: 79:[30, 51] Operation: 79-28=51
Exploring Operation: 79+30=109, Resulting Numbers: [28, 109]
Generated Node #0,2,2: 79:[28, 109] Operation: 79+30=109
Exploring Operation: 30-28=2, Resulting Numbers: [79, 2]
Generated Node #0,2,3: 79:[79, 2] Operation: 30-28=2
Exploring Operation: 28+30=58, Resulting Numbers: [79, 58]
Generated Node #0,2,4: 79:[79, 58] Operation: 28+30=58
Moving to Node #0,2,4
Current State: 79:[79, 58], Operations: ['15*2=30', '28+30=58']
Exploring Operation: 79*58=4582, Resulting Numbers: [4582]
4582,79 unequal: No Solution
Exploring Operation: 79+58=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 79-58=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[30, 51], Operations: ['15*2=30', '79-28=51']
Exploring Operation: 30*51=1530, Resulting Numbers: [1530]
1530,79 unequal: No Solution
Exploring Operation: 30+51=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 51-30=21, Resulting Numbers: [21]
21,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[30, 107], Operations: ['15*2=30', '28+79=107']
Exploring Operation: 107-30=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Exploring Operation: 30+107=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 30*107=3210, Resulting Numbers: [3210]
3210,79 unequal: No Solution
Moving to Node #0,2,3
Current State: 79:[79, 2], Operations: ['15*2=30', '30-28=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[28, 109], Operations: ['15*2=30', '79+30=109']
Exploring Operation: 28+109=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 28*109=3052, Resulting Numbers: [3052]
3052,79 unequal: No Solution
Exploring Operation: 109-28=81, Resulting Numbers: [81]
81,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[28, 79, 17], Operations: ['15+2=17']
Exploring Operation: 79-17=62, Resulting Numbers: [28, 62]
Generated Node #0,0,0: 79:[28, 62] Operation: 79-17=62
Exploring Operation: 79+17=96, Resulting Numbers: [28, 96]
Generated Node #0,0,1: 79:[28, 96] Operation: 79+17=96
Exploring Operation: 28-17=11, Resulting Numbers: [79, 11]
Generated Node #0,0,2: 79:[79, 11] Operation: 28-17=11
Exploring Operation: 28+79=107, Resulting Numbers: [17, 107]
Generated Node #0,0,3: 79:[17, 107] Operation: 28+79=107
Exploring Operation: 28+17=45, Resulting Numbers: [79, 45]
Generated Node #0,0,4: 79:[79, 45] Operation: 28+17=45
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 79:[79, 45], Operations: ['15+2=17', '28+17=45']
Exploring Operation: 79+45=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 79*45=3555, Resulting Numbers: [3555]
3555,79 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No 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: 79:[28, 62], Operations: ['15+2=17', '79-17=62']
Exploring Operation: 28*62=1736, Resulting Numbers: [1736]
1736,79 unequal: No Solution
Exploring Operation: 28+62=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 62-28=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No 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: 79:[28, 96], Operations: ['15+2=17', '79+17=96']
Exploring Operation: 96-28=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 28+96=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 28*96=2688, Resulting Numbers: [2688]
2688,79 unequal: No Solution
No 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: 79:[79, 11], Operations: ['15+2=17', '28-17=11']
Exploring Operation: 79*11=869, Resulting Numbers: [869]
869,79 unequal: No Solution
Exploring Operation: 79-11=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 79+11=90, Resulting Numbers: [90]
90,79 unequal: No Solution
No 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: 79:[17, 107], Operations: ['15+2=17', '28+79=107']
Exploring Operation: 107-17=90, Resulting Numbers: [90]
90,79 unequal: No Solution
Exploring Operation: 17+107=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 17*107=1819, Resulting Numbers: [1819]
1819,79 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: 79:[15, 79, 30], Operations: ['28+2=30']
Exploring Operation: 15+79=94, Resulting Numbers: [30, 94]
Generated Node #0,1,0: 79:[30, 94] Operation: 15+79=94
Exploring Operation: 79-15=64, Resulting Numbers: [30, 64]
Generated Node #0,1,1: 79:[30, 64] Operation: 79-15=64
Exploring Operation: 15+30=45, Resulting Numbers: [79, 45]
Generated Node #0,1,2: 79:[79, 45] Operation: 15+30=45
Exploring Operation: 30-15=15, Resulting Numbers: [79, 15]
Generated Node #0,1,3: 79:[79, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [79, 2]
Generated Node #0,1,4: 79:[79, 2] Operation: 30/15=2
Moving to Node #0,1,2
Current State: 79:[79, 45], Operations: ['28+2=30', '15+30=45']
Exploring Operation: 79*45=3555, Resulting Numbers: [3555]
3555,79 unequal: No Solution
Exploring Operation: 79+45=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[30, 64], Operations: ['28+2=30', '79-15=64']
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,79 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[30, 94], Operations: ['28+2=30', '15+79=94']
Exploring Operation: 30+94=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 94-30=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 30*94=2820, Resulting Numbers: [2820]
2820,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[79, 15], Operations: ['28+2=30', '30-15=15']
Exploring Operation: 79*15=1185, Resulting Numbers: [1185]
1185,79 unequal: No Solution
Exploring Operation: 79+15=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Exploring Operation: 79-15=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Moving to Node #0,1,4
Current State: 79:[79, 2], Operations: ['28+2=30', '30/15=2']
Exploring Operation: 79+2=81, Resulting Numbers: [81]
81,79 unequal: No Solution
Exploring Operation: 79*2=158, Resulting Numbers: [158]
158,79 unequal: No Solution
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[79, 2, 43], Operations: ['28+15=43']
Exploring Operation: 2*43=86, Resulting Numbers: [79, 86]
Generated Node #0,3,0: 79:[79, 86] Operation: 2*43=86
Exploring Operation: 2+43=45, Resulting Numbers: [79, 45]
Generated Node #0,3,1: 79:[79, 45] Operation: 2+43=45
Exploring Operation: 79+2=81, Resulting Numbers: [43, 81]
Generated Node #0,3,2: 79:[43, 81] Operation: 79+2=81
Exploring Operation: 79-2=77, Resulting Numbers: [43, 77]
Generated Node #0,3,3: 79:[43, 77] Operation: 79-2=77
Exploring Operation: 43-2=41, Resulting Numbers: [79, 41]
Generated Node #0,3,4: 79:[79, 41] Operation: 43-2=41
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[79, 86], Operations: ['28+15=43', '2*43=86']
Exploring Operation: 79*86=6794, Resulting Numbers: [6794]
6794,79 unequal: No Solution
Exploring Operation: 86-79=7, Resulting Numbers: [7]
7,79 unequal: No Solution
Exploring Operation: 79+86=165, Resulting Numbers: [165]
165,79 unequal: No Solution
No 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: 79:[79, 45], Operations: ['28+15=43', '2+43=45']
Exploring Operation: 79*45=3555, Resulting Numbers: [3555]
3555,79 unequal: No Solution
Exploring Operation: 79+45=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No 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: 79:[43, 81], Operations: ['28+15=43', '79+2=81']
Exploring Operation: 43*81=3483, Resulting Numbers: [3483]
3483,79 unequal: No Solution
Exploring Operation: 43+81=124, Resulting Numbers: [124]
124,79 unequal: No Solution
Exploring Operation: 81-43=38, Resulting Numbers: [38]
38,79 unequal: No Solution
No 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: 79:[43, 77], Operations: ['28+15=43', '79-2=77']
Exploring Operation: 43+77=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 43*77=3311, Resulting Numbers: [3311]
3311,79 unequal: No Solution
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,79 unequal: No Solution
No 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: 79:[79, 41], Operations: ['28+15=43', '43-2=41']
Exploring Operation: 79*41=3239, Resulting Numbers: [3239]
3239,79 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,79 unequal: No Solution
Exploring Operation: 79+41=120, Resulting Numbers: [120]
120,79 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 |
[
37,
8,
90,
4
] | 16 | [
"37*8=296",
"296/4=74",
"90-74=16"
] | Current State: 16:[37, 8, 90, 4], Operations: []
Exploring Operation: 37*8=296, Resulting Numbers: [90, 4, 296]
Generated Node #2: [90, 4, 296] from Operation: 37*8=296
Current State: 16:[90, 4, 296], Operations: ['37*8=296']
Exploring Operation: 296/4=74, Resulting Numbers: [90, 74]
Generated Node #3: [90, 74] from Operation: 296/4=74
Current State: 16:[90, 74], Operations: ['37*8=296', '296/4=74']
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[37, 8, 90, 4], Operations: []
Exploring Operation: 90-37=53, Resulting Numbers: [8, 4, 53]
Generated Node #0,0: 16:[8, 4, 53] Operation: 90-37=53
Exploring Operation: 37-8=29, Resulting Numbers: [90, 4, 29]
Generated Node #0,1: 16:[90, 4, 29] Operation: 37-8=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[8, 4, 53], Operations: ['90-37=53']
Exploring Operation: 53-4=49, Resulting Numbers: [8, 49]
Generated Node #0,0,0: 16:[8, 49] Operation: 53-4=49
Exploring Operation: 53-8=45, Resulting Numbers: [4, 45]
Generated Node #0,0,1: 16:[4, 45] Operation: 53-8=45
Moving to Node #0,0,1
Current State: 16:[4, 45], Operations: ['90-37=53', '53-8=45']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,16 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,16 unequal: No Solution
Moving to Node #0,0,0
Current State: 16:[8, 49], Operations: ['90-37=53', '53-4=49']
Exploring Operation: 8+49=57, Resulting Numbers: [57]
57,16 unequal: No Solution
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[90, 4, 29], Operations: ['37-8=29']
Exploring Operation: 90-29=61, Resulting Numbers: [4, 61]
Generated Node #0,1,0: 16:[4, 61] Operation: 90-29=61
Exploring Operation: 90-4=86, Resulting Numbers: [29, 86]
Generated Node #0,1,1: 16:[29, 86] Operation: 90-4=86
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[4, 61], Operations: ['37-8=29', '90-29=61']
Exploring Operation: 4+61=65, Resulting Numbers: [65]
65,16 unequal: No Solution
Exploring Operation: 61-4=57, Resulting Numbers: [57]
57,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 16:[29, 86], Operations: ['37-8=29', '90-4=86']
Exploring Operation: 29+86=115, Resulting Numbers: [115]
115,16 unequal: No Solution
Exploring Operation: 86-29=57, Resulting Numbers: [57]
57,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
60,
8,
43,
61
] | 35 | [
"61-60=1",
"43-8=35",
"1*35=35"
] | Current State: 35:[60, 8, 43, 61], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [8, 43, 1]
Generated Node #2: [8, 43, 1] from Operation: 61-60=1
Current State: 35:[8, 43, 1], Operations: ['61-60=1']
Exploring Operation: 43-8=35, Resulting Numbers: [1, 35]
Generated Node #3: [1, 35] from Operation: 43-8=35
Current State: 35:[1, 35], Operations: ['61-60=1', '43-8=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[60, 8, 43, 61], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [8, 43, 1]
Generated Node #0,0: 35:[8, 43, 1] Operation: 61-60=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[8, 43, 1], Operations: ['61-60=1']
Exploring Operation: 43-8=35, Resulting Numbers: [1, 35]
Generated Node #0,0,0: 35:[1, 35] Operation: 43-8=35
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[1, 35], Operations: ['61-60=1', '43-8=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[60, 8, 43, 61], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [8, 43, 1]
Generated Node #0,0: 35:[8, 43, 1] Operation: 61-60=1
Moving to Node #0,0
Current State: 35:[8, 43, 1], Operations: ['61-60=1']
Exploring Operation: 43-8=35, Resulting Numbers: [1, 35]
Generated Node #0,0,0: 35:[1, 35] Operation: 43-8=35
Moving to Node #0,0,0
Current State: 35:[1, 35], Operations: ['61-60=1', '43-8=35']
Exploring Operation: 1*35=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
2,
21,
98,
23
] | 93 | [
"98/2=49",
"21+23=44",
"49+44=93"
] | Current State: 93:[2, 21, 98, 23], Operations: []
Exploring Operation: 98/2=49, Resulting Numbers: [21, 23, 49]
Generated Node #2: [21, 23, 49] from Operation: 98/2=49
Current State: 93:[21, 23, 49], Operations: ['98/2=49']
Exploring Operation: 21+23=44, Resulting Numbers: [49, 44]
Generated Node #3: [49, 44] from Operation: 21+23=44
Current State: 93:[49, 44], Operations: ['98/2=49', '21+23=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[2, 21, 98, 23], Operations: []
Exploring Operation: 98-2=96, Resulting Numbers: [21, 23, 96]
Generated Node #0,0: 93:[21, 23, 96] Operation: 98-2=96
Exploring Operation: 21+23=44, Resulting Numbers: [2, 98, 44]
Generated Node #0,1: 93:[2, 98, 44] Operation: 21+23=44
Exploring Operation: 23-21=2, Resulting Numbers: [2, 98, 2]
Generated Node #0,2: 93:[2, 98, 2] Operation: 23-21=2
Exploring Operation: 2+21=23, Resulting Numbers: [98, 23, 23]
Generated Node #0,3: 93:[98, 23, 23] Operation: 2+21=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[2, 98, 2], Operations: ['23-21=2']
Exploring Operation: 98-2=96, Resulting Numbers: [2, 96]
Generated Node #0,2,0: 93:[2, 96] Operation: 98-2=96
Exploring Operation: 98-2=96, Resulting Numbers: [2, 96]
Generated Node #0,2,1: 93:[2, 96] Operation: 98-2=96
Exploring Operation: 2+2=4, Resulting Numbers: [98, 4]
Generated Node #0,2,2: 93:[98, 4] Operation: 2+2=4
Exploring Operation: 2*2=4, Resulting Numbers: [98, 4]
Generated Node #0,2,3: 93:[98, 4] Operation: 2*2=4
Moving to Node #0,2,0
Current State: 93:[2, 96], Operations: ['23-21=2', '98-2=96']
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 2*96=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[2, 96], Operations: ['23-21=2', '98-2=96']
Exploring Operation: 2*96=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 2+96=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[98, 4], Operations: ['23-21=2', '2*2=4']
Exploring Operation: 98+4=102, Resulting Numbers: [102]
102,93 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 98*4=392, Resulting Numbers: [392]
392,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[98, 4], Operations: ['23-21=2', '2+2=4']
Exploring Operation: 98+4=102, Resulting Numbers: [102]
102,93 unequal: No Solution
Exploring Operation: 98-4=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 98*4=392, Resulting Numbers: [392]
392,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[2, 98, 44], Operations: ['21+23=44']
Exploring Operation: 98-2=96, Resulting Numbers: [44, 96]
Generated Node #0,1,0: 93:[44, 96] Operation: 98-2=96
Exploring Operation: 2*44=88, Resulting Numbers: [98, 88]
Generated Node #0,1,1: 93:[98, 88] Operation: 2*44=88
Exploring Operation: 44-2=42, Resulting Numbers: [98, 42]
Generated Node #0,1,2: 93:[98, 42] Operation: 44-2=42
Exploring Operation: 44/2=22, Resulting Numbers: [98, 22]
Generated Node #0,1,3: 93:[98, 22] Operation: 44/2=22
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[98, 88], Operations: ['21+23=44', '2*44=88']
Exploring Operation: 98*88=8624, Resulting Numbers: [8624]
8624,93 unequal: No Solution
Exploring Operation: 98-88=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Exploring Operation: 98+88=186, Resulting Numbers: [186]
186,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[98, 22], Operations: ['21+23=44', '44/2=22']
Exploring Operation: 98*22=2156, Resulting Numbers: [2156]
2156,93 unequal: No Solution
Exploring Operation: 98+22=120, Resulting Numbers: [120]
120,93 unequal: No Solution
Exploring Operation: 98-22=76, Resulting Numbers: [76]
76,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[44, 96], Operations: ['21+23=44', '98-2=96']
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 44*96=4224, Resulting Numbers: [4224]
4224,93 unequal: No Solution
Exploring Operation: 44+96=140, Resulting Numbers: [140]
140,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[98, 42], Operations: ['21+23=44', '44-2=42']
Exploring Operation: 98*42=4116, Resulting Numbers: [4116]
4116,93 unequal: No Solution
Exploring Operation: 98-42=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 98+42=140, Resulting Numbers: [140]
140,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[21, 23, 96], Operations: ['98-2=96']
Exploring Operation: 96-23=73, Resulting Numbers: [21, 73]
Generated Node #0,0,0: 93:[21, 73] Operation: 96-23=73
Exploring Operation: 96-21=75, Resulting Numbers: [23, 75]
Generated Node #0,0,1: 93:[23, 75] Operation: 96-21=75
Exploring Operation: 21+23=44, Resulting Numbers: [96, 44]
Generated Node #0,0,2: 93:[96, 44] Operation: 21+23=44
Exploring Operation: 23-21=2, Resulting Numbers: [96, 2]
Generated Node #0,0,3: 93:[96, 2] Operation: 23-21=2
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 93:[96, 2], Operations: ['98-2=96', '23-21=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 96-2=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 96*2=192, Resulting Numbers: [192]
192,93 unequal: No Solution
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 93:[96, 44], Operations: ['98-2=96', '21+23=44']
Exploring Operation: 96*44=4224, Resulting Numbers: [4224]
4224,93 unequal: No Solution
Exploring Operation: 96-44=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 96+44=140, Resulting Numbers: [140]
140,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 93:[23, 75], Operations: ['98-2=96', '96-21=75']
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,93 unequal: No Solution
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 93:[21, 73], Operations: ['98-2=96', '96-23=73']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 21*73=1533, Resulting Numbers: [1533]
1533,93 unequal: No Solution
Exploring Operation: 21+73=94, Resulting Numbers: [94]
94,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[98, 23, 23], Operations: ['2+21=23']
Exploring Operation: 23-23=0, Resulting Numbers: [98, 0]
Generated Node #0,3,0: 93:[98, 0] Operation: 23-23=0
Exploring Operation: 98-23=75, Resulting Numbers: [23, 75]
Generated Node #0,3,1: 93:[23, 75] Operation: 98-23=75
Exploring Operation: 23+23=46, Resulting Numbers: [98, 46]
Generated Node #0,3,2: 93:[98, 46] Operation: 23+23=46
Exploring Operation: 23/23=1, Resulting Numbers: [98, 1]
Generated Node #0,3,3: 93:[98, 1] Operation: 23/23=1
Moving to Node #0,3,3
Current State: 93:[98, 1], Operations: ['2+21=23', '23/23=1']
Exploring Operation: 98/1=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 98+1=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 98-1=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Exploring Operation: 98*1=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[98, 0], Operations: ['2+21=23', '23-23=0']
Exploring Operation: 98-0=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 98+0=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 98*0=0, Resulting Numbers: [0]
0,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[98, 46], Operations: ['2+21=23', '23+23=46']
Exploring Operation: 98*46=4508, Resulting Numbers: [4508]
4508,93 unequal: No Solution
Exploring Operation: 98+46=144, Resulting Numbers: [144]
144,93 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[23, 75], Operations: ['2+21=23', '98-23=75']
Exploring Operation: 23+75=98, Resulting Numbers: [98]
98,93 unequal: No Solution
Exploring Operation: 75-23=52, Resulting Numbers: [52]
52,93 unequal: No Solution
Exploring Operation: 23*75=1725, Resulting Numbers: [1725]
1725,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
10,
68,
27,
14
] | 40 | [
"14-10=4",
"27*4=108",
"108-68=40"
] | Current State: 40:[10, 68, 27, 14], Operations: []
Exploring Operation: 14-10=4, Resulting Numbers: [68, 27, 4]
Generated Node #2: [68, 27, 4] from Operation: 14-10=4
Current State: 40:[68, 27, 4], Operations: ['14-10=4']
Exploring Operation: 27*4=108, Resulting Numbers: [68, 108]
Generated Node #3: [68, 108] from Operation: 27*4=108
Current State: 40:[68, 108], Operations: ['14-10=4', '27*4=108']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[10, 68, 27, 14], Operations: []
Exploring Operation: 68-27=41, Resulting Numbers: [10, 14, 41]
Generated Node #0,0: 40:[10, 14, 41] Operation: 68-27=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 40:[10, 14, 41], Operations: ['68-27=41']
Exploring Operation: 14-10=4, Resulting Numbers: [41, 4]
Generated Node #0,0,0: 40:[41, 4] Operation: 14-10=4
Moving to Node #0,0,0
Current State: 40:[41, 4], Operations: ['68-27=41', '14-10=4']
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,40 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 |
[
12,
59,
41,
11
] | 84 | [
"59-41=18",
"18-11=7",
"12*7=84"
] | Current State: 84:[12, 59, 41, 11], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [12, 11, 18]
Generated Node #2: [12, 11, 18] from Operation: 59-41=18
Current State: 84:[12, 11, 18], Operations: ['59-41=18']
Exploring Operation: 18-11=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 18-11=7
Current State: 84:[12, 7], Operations: ['59-41=18', '18-11=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[12, 59, 41, 11], Operations: []
Exploring Operation: 59-11=48, Resulting Numbers: [12, 41, 48]
Generated Node #0,0: 84:[12, 41, 48] Operation: 59-11=48
Exploring Operation: 59-41=18, Resulting Numbers: [12, 11, 18]
Generated Node #0,1: 84:[12, 11, 18] Operation: 59-41=18
Exploring Operation: 59-12=47, Resulting Numbers: [41, 11, 47]
Generated Node #0,2: 84:[41, 11, 47] Operation: 59-12=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[12, 11, 18], Operations: ['59-41=18']
Exploring Operation: 18-12=6, Resulting Numbers: [11, 6]
Generated Node #0,1,0: 84:[11, 6] Operation: 18-12=6
Exploring Operation: 11+18=29, Resulting Numbers: [12, 29]
Generated Node #0,1,1: 84:[12, 29] Operation: 11+18=29
Exploring Operation: 18-11=7, Resulting Numbers: [12, 7]
Generated Node #0,1,2: 84:[12, 7] Operation: 18-11=7
Moving to Node #0,1,2
Current State: 84:[12, 7], Operations: ['59-41=18', '18-11=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[12, 59, 41, 11], Operations: []
Exploring Operation: 59-41=18, Resulting Numbers: [12, 11, 18]
Generated Node #0,1: 84:[12, 11, 18] Operation: 59-41=18
Moving to Node #0,1
Current State: 84:[12, 11, 18], Operations: ['59-41=18']
Exploring Operation: 18-11=7, Resulting Numbers: [12, 7]
Generated Node #0,1,2: 84:[12, 7] Operation: 18-11=7
Moving to Node #0,1,2
Current State: 84:[12, 7], Operations: ['59-41=18', '18-11=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
27,
16,
91,
96
] | 71 | [
"27*96=2592",
"2592/16=162",
"162-91=71"
] | Current State: 71:[27, 16, 91, 96], Operations: []
Exploring Operation: 27*96=2592, Resulting Numbers: [16, 91, 2592]
Generated Node #2: [16, 91, 2592] from Operation: 27*96=2592
Current State: 71:[16, 91, 2592], Operations: ['27*96=2592']
Exploring Operation: 2592/16=162, Resulting Numbers: [91, 162]
Generated Node #3: [91, 162] from Operation: 2592/16=162
Current State: 71:[91, 162], Operations: ['27*96=2592', '2592/16=162']
Exploring Operation: 162-91=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[27, 16, 91, 96], Operations: []
Exploring Operation: 96-16=80, Resulting Numbers: [27, 91, 80]
Generated Node #0,0: 71:[27, 91, 80] Operation: 96-16=80
Exploring Operation: 91-16=75, Resulting Numbers: [27, 96, 75]
Generated Node #0,1: 71:[27, 96, 75] Operation: 91-16=75
Exploring Operation: 27+16=43, Resulting Numbers: [91, 96, 43]
Generated Node #0,2: 71:[91, 96, 43] Operation: 27+16=43
Moving to Node #0,0
Current State: 71:[27, 91, 80], Operations: ['96-16=80']
Exploring Operation: 80-27=53, Resulting Numbers: [91, 53]
Generated Node #0,0,0: 71:[91, 53] Operation: 80-27=53
Exploring Operation: 27+91=118, Resulting Numbers: [80, 118]
Generated Node #0,0,1: 71:[80, 118] Operation: 27+91=118
Exploring Operation: 91-27=64, Resulting Numbers: [80, 64]
Generated Node #0,0,2: 71:[80, 64] Operation: 91-27=64
Moving to Node #0,1
Current State: 71:[27, 96, 75], Operations: ['91-16=75']
Exploring Operation: 75-27=48, Resulting Numbers: [96, 48]
Generated Node #0,1,0: 71:[96, 48] Operation: 75-27=48
Exploring Operation: 96-27=69, Resulting Numbers: [75, 69]
Generated Node #0,1,1: 71:[75, 69] Operation: 96-27=69
Exploring Operation: 27+96=123, Resulting Numbers: [75, 123]
Generated Node #0,1,2: 71:[75, 123] Operation: 27+96=123
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[75, 69], Operations: ['91-16=75', '96-27=69']
Exploring Operation: 75+69=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 75*69=5175, Resulting Numbers: [5175]
5175,71 unequal: No Solution
Exploring Operation: 75-69=6, Resulting Numbers: [6]
6,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[96, 48], Operations: ['91-16=75', '75-27=48']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 71:[75, 123], Operations: ['91-16=75', '27+96=123']
Exploring Operation: 75*123=9225, Resulting Numbers: [9225]
9225,71 unequal: No Solution
Exploring Operation: 75+123=198, Resulting Numbers: [198]
198,71 unequal: No Solution
Exploring Operation: 123-75=48, Resulting Numbers: [48]
48,71 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: 71:[91, 96, 43], Operations: ['27+16=43']
Exploring Operation: 91+43=134, Resulting Numbers: [96, 134]
Generated Node #0,2,0: 71:[96, 134] Operation: 91+43=134
Exploring Operation: 96-43=53, Resulting Numbers: [91, 53]
Generated Node #0,2,1: 71:[91, 53] Operation: 96-43=53
Exploring Operation: 91-43=48, Resulting Numbers: [96, 48]
Generated Node #0,2,2: 71:[96, 48] Operation: 91-43=48
Moving to Node #0,0,2
Current State: 71:[80, 64], Operations: ['96-16=80', '91-27=64']
Exploring Operation: 80*64=5120, Resulting Numbers: [5120]
5120,71 unequal: No Solution
Exploring Operation: 80-64=16, Resulting Numbers: [16]
16,71 unequal: No Solution
Exploring Operation: 80+64=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[91, 53], Operations: ['96-16=80', '80-27=53']
Exploring Operation: 91+53=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 91*53=4823, Resulting Numbers: [4823]
4823,71 unequal: No Solution
Moving to Node #0,2,1
Current State: 71:[91, 53], Operations: ['27+16=43', '96-43=53']
Exploring Operation: 91*53=4823, Resulting Numbers: [4823]
4823,71 unequal: No Solution
Exploring Operation: 91+53=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Moving to Node #0,2,2
Current State: 71:[96, 48], Operations: ['27+16=43', '91-43=48']
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,71 unequal: No Solution
Exploring Operation: 96+48=144, Resulting Numbers: [144]
144,71 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,71 unequal: No Solution
Moving to Node #0,0,1
Current State: 71:[80, 118], Operations: ['96-16=80', '27+91=118']
Exploring Operation: 118-80=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 80+118=198, Resulting Numbers: [198]
198,71 unequal: No Solution
Exploring Operation: 80*118=9440, Resulting Numbers: [9440]
9440,71 unequal: No Solution
Moving to Node #0,2,0
Current State: 71:[96, 134], Operations: ['27+16=43', '91+43=134']
Exploring Operation: 96*134=12864, Resulting Numbers: [12864]
12864,71 unequal: No Solution
Exploring Operation: 134-96=38, Resulting Numbers: [38]
38,71 unequal: No Solution
Exploring Operation: 96+134=230, Resulting Numbers: [230]
230,71 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
39,
4,
18,
34
] | 50 | [
"39-18=21",
"4*21=84",
"84-34=50"
] | Current State: 50:[39, 4, 18, 34], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [4, 34, 21]
Generated Node #2: [4, 34, 21] from Operation: 39-18=21
Current State: 50:[4, 34, 21], Operations: ['39-18=21']
Exploring Operation: 4*21=84, Resulting Numbers: [34, 84]
Generated Node #3: [34, 84] from Operation: 4*21=84
Current State: 50:[34, 84], Operations: ['39-18=21', '4*21=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 | Current State: 50:[39, 4, 18, 34], Operations: []
Exploring Operation: 18+34=52, Resulting Numbers: [39, 4, 52]
Generated Node #0,0: 50:[39, 4, 52] Operation: 18+34=52
Exploring Operation: 39+18=57, Resulting Numbers: [4, 34, 57]
Generated Node #0,1: 50:[4, 34, 57] Operation: 39+18=57
Exploring Operation: 39-34=5, Resulting Numbers: [4, 18, 5]
Generated Node #0,2: 50:[4, 18, 5] Operation: 39-34=5
Exploring Operation: 39-18=21, Resulting Numbers: [4, 34, 21]
Generated Node #0,3: 50:[4, 34, 21] Operation: 39-18=21
Moving to Node #0,2
Current State: 50:[4, 18, 5], Operations: ['39-34=5']
Exploring Operation: 4+18=22, Resulting Numbers: [5, 22]
Generated Node #0,2,0: 50:[5, 22] Operation: 4+18=22
Exploring Operation: 18-5=13, Resulting Numbers: [4, 13]
Generated Node #0,2,1: 50:[4, 13] Operation: 18-5=13
Exploring Operation: 18+5=23, Resulting Numbers: [4, 23]
Generated Node #0,2,2: 50:[4, 23] Operation: 18+5=23
Exploring Operation: 18-4=14, Resulting Numbers: [5, 14]
Generated Node #0,2,3: 50:[5, 14] Operation: 18-4=14
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 50:[5, 22], Operations: ['39-34=5', '4+18=22']
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 50:[4, 23], Operations: ['39-34=5', '18+5=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 50:[4, 13], Operations: ['39-34=5', '18-5=13']
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 50:[5, 14], Operations: ['39-34=5', '18-4=14']
Exploring Operation: 5+14=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 5*14=70, Resulting Numbers: [70]
70,50 unequal: No Solution
Exploring Operation: 14-5=9, Resulting Numbers: [9]
9,50 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: 50:[4, 34, 21], Operations: ['39-18=21']
Exploring Operation: 34-21=13, Resulting Numbers: [4, 13]
Generated Node #0,3,0: 50:[4, 13] Operation: 34-21=13
Exploring Operation: 4+21=25, Resulting Numbers: [34, 25]
Generated Node #0,3,1: 50:[34, 25] Operation: 4+21=25
Exploring Operation: 34-4=30, Resulting Numbers: [21, 30]
Generated Node #0,3,2: 50:[21, 30] Operation: 34-4=30
Exploring Operation: 34+21=55, Resulting Numbers: [4, 55]
Generated Node #0,3,3: 50:[4, 55] Operation: 34+21=55
Moving to Node #0,0
Current State: 50:[39, 4, 52], Operations: ['18+34=52']
Exploring Operation: 52-39=13, Resulting Numbers: [4, 13]
Generated Node #0,0,0: 50:[4, 13] Operation: 52-39=13
Exploring Operation: 39-4=35, Resulting Numbers: [52, 35]
Generated Node #0,0,1: 50:[52, 35] Operation: 39-4=35
Exploring Operation: 52-4=48, Resulting Numbers: [39, 48]
Generated Node #0,0,2: 50:[39, 48] Operation: 52-4=48
Exploring Operation: 39+4=43, Resulting Numbers: [52, 43]
Generated Node #0,0,3: 50:[52, 43] Operation: 39+4=43
Moving to Node #0,1
Current State: 50:[4, 34, 57], Operations: ['39+18=57']
Exploring Operation: 4+34=38, Resulting Numbers: [57, 38]
Generated Node #0,1,0: 50:[57, 38] Operation: 4+34=38
Exploring Operation: 57-34=23, Resulting Numbers: [4, 23]
Generated Node #0,1,1: 50:[4, 23] Operation: 57-34=23
Exploring Operation: 57-4=53, Resulting Numbers: [34, 53]
Generated Node #0,1,2: 50:[34, 53] Operation: 57-4=53
Exploring Operation: 34-4=30, Resulting Numbers: [57, 30]
Generated Node #0,1,3: 50:[57, 30] Operation: 34-4=30
Moving to Node #0,1,1
Current State: 50:[4, 23], Operations: ['39+18=57', '57-34=23']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 4+23=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,50 unequal: No Solution
Moving to Node #0,3,0
Current State: 50:[4, 13], Operations: ['39-18=21', '34-21=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[4, 13], Operations: ['18+34=52', '52-39=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,50 unequal: No Solution
Moving to Node #0,3,3
Current State: 50:[4, 55], Operations: ['39-18=21', '34+21=55']
Exploring Operation: 4*55=220, Resulting Numbers: [220]
220,50 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 4+55=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Moving to Node #0,3,1
Current State: 50:[34, 25], Operations: ['39-18=21', '4+21=25']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,50 unequal: No Solution
Exploring Operation: 34*25=850, Resulting Numbers: [850]
850,50 unequal: No Solution
Moving to Node #0,0,3
Current State: 50:[52, 43], Operations: ['18+34=52', '39+4=43']
Exploring Operation: 52+43=95, Resulting Numbers: [95]
95,50 unequal: No Solution
Exploring Operation: 52-43=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 52*43=2236, Resulting Numbers: [2236]
2236,50 unequal: No Solution
Moving to Node #0,3,2
Current State: 50:[21, 30], Operations: ['39-18=21', '34-4=30']
Exploring Operation: 21+30=51, Resulting Numbers: [51]
51,50 unequal: No Solution
Exploring Operation: 21*30=630, Resulting Numbers: [630]
630,50 unequal: No Solution
Exploring Operation: 30-21=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[52, 35], Operations: ['18+34=52', '39-4=35']
Exploring Operation: 52+35=87, Resulting Numbers: [87]
87,50 unequal: No Solution
Exploring Operation: 52-35=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 52*35=1820, Resulting Numbers: [1820]
1820,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[34, 53], Operations: ['39+18=57', '57-4=53']
Exploring Operation: 34*53=1802, Resulting Numbers: [1802]
1802,50 unequal: No Solution
Exploring Operation: 34+53=87, Resulting Numbers: [87]
87,50 unequal: No Solution
Exploring Operation: 53-34=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Moving to Node #0,1,3
Current State: 50:[57, 30], Operations: ['39+18=57', '34-4=30']
Exploring Operation: 57*30=1710, Resulting Numbers: [1710]
1710,50 unequal: No Solution
Exploring Operation: 57-30=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 57+30=87, Resulting Numbers: [87]
87,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[39, 48], Operations: ['18+34=52', '52-4=48']
Exploring Operation: 39*48=1872, Resulting Numbers: [1872]
1872,50 unequal: No Solution
Exploring Operation: 48-39=9, Resulting Numbers: [9]
9,50 unequal: No Solution
Exploring Operation: 39+48=87, Resulting Numbers: [87]
87,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[57, 38], Operations: ['39+18=57', '4+34=38']
Exploring Operation: 57-38=19, Resulting Numbers: [19]
19,50 unequal: No Solution
Exploring Operation: 57*38=2166, Resulting Numbers: [2166]
2166,50 unequal: No Solution
Exploring Operation: 57+38=95, Resulting Numbers: [95]
95,50 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
40,
41,
62,
31
] | 83 | [
"40+41=81",
"62/31=2",
"81+2=83"
] | Current State: 83:[40, 41, 62, 31], Operations: []
Exploring Operation: 40+41=81, Resulting Numbers: [62, 31, 81]
Generated Node #2: [62, 31, 81] from Operation: 40+41=81
Current State: 83:[62, 31, 81], Operations: ['40+41=81']
Exploring Operation: 62/31=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 62/31=2
Current State: 83:[81, 2], Operations: ['40+41=81', '62/31=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[40, 41, 62, 31], Operations: []
Exploring Operation: 40+41=81, Resulting Numbers: [62, 31, 81]
Generated Node #0,0: 83:[62, 31, 81] Operation: 40+41=81
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[62, 31, 81], Operations: ['40+41=81']
Exploring Operation: 62+31=93, Resulting Numbers: [81, 93]
Generated Node #0,0,0: 83:[81, 93] Operation: 62+31=93
Moving to Node #0,0,0
Current State: 83:[81, 93], Operations: ['40+41=81', '62+31=93']
Exploring Operation: 93-81=12, Resulting Numbers: [12]
12,83 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 |
[
87,
65,
39,
77
] | 16 | [
"87-65=22",
"77-39=38",
"38-22=16"
] | Current State: 16:[87, 65, 39, 77], Operations: []
Exploring Operation: 87-65=22, Resulting Numbers: [39, 77, 22]
Generated Node #2: [39, 77, 22] from Operation: 87-65=22
Current State: 16:[39, 77, 22], Operations: ['87-65=22']
Exploring Operation: 77-39=38, Resulting Numbers: [22, 38]
Generated Node #3: [22, 38] from Operation: 77-39=38
Current State: 16:[22, 38], Operations: ['87-65=22', '77-39=38']
Exploring Operation: 38-22=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[87, 65, 39, 77], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [65, 39, 10]
Generated Node #0,0: 16:[65, 39, 10] Operation: 87-77=10
Exploring Operation: 77-65=12, Resulting Numbers: [87, 39, 12]
Generated Node #0,1: 16:[87, 39, 12] Operation: 77-65=12
Exploring Operation: 87-65=22, Resulting Numbers: [39, 77, 22]
Generated Node #0,2: 16:[39, 77, 22] Operation: 87-65=22
Exploring Operation: 87-39=48, Resulting Numbers: [65, 77, 48]
Generated Node #0,3: 16:[65, 77, 48] Operation: 87-39=48
Exploring Operation: 65-39=26, Resulting Numbers: [87, 77, 26]
Generated Node #0,4: 16:[87, 77, 26] Operation: 65-39=26
Moving to Node #0,0
Current State: 16:[65, 39, 10], Operations: ['87-77=10']
Exploring Operation: 65-39=26, Resulting Numbers: [10, 26]
Generated Node #0,0,0: 16:[10, 26] Operation: 65-39=26
Exploring Operation: 65-10=55, Resulting Numbers: [39, 55]
Generated Node #0,0,1: 16:[39, 55] Operation: 65-10=55
Exploring Operation: 39-10=29, Resulting Numbers: [65, 29]
Generated Node #0,0,2: 16:[65, 29] Operation: 39-10=29
Exploring Operation: 39+10=49, Resulting Numbers: [65, 49]
Generated Node #0,0,3: 16:[65, 49] Operation: 39+10=49
Exploring Operation: 65+10=75, Resulting Numbers: [39, 75]
Generated Node #0,0,4: 16:[39, 75] Operation: 65+10=75
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[10, 26], Operations: ['87-77=10', '65-39=26']
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,16 unequal: No Solution
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,16 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[87, 65, 39, 77], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [65, 39, 10]
Generated Node #0,0: 16:[65, 39, 10] Operation: 87-77=10
Moving to Node #0,0
Current State: 16:[65, 39, 10], Operations: ['87-77=10']
Exploring Operation: 65-39=26, Resulting Numbers: [10, 26]
Generated Node #0,0,0: 16:[10, 26] Operation: 65-39=26
Moving to Node #0,0,0
Current State: 16:[10, 26], Operations: ['87-77=10', '65-39=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
45,
8,
25,
9
] | 40 | [
"45/9=5",
"8*25=200",
"200/5=40"
] | Current State: 40:[45, 8, 25, 9], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [8, 25, 5]
Generated Node #2: [8, 25, 5] from Operation: 45/9=5
Current State: 40:[8, 25, 5], Operations: ['45/9=5']
Exploring Operation: 8*25=200, Resulting Numbers: [5, 200]
Generated Node #3: [5, 200] from Operation: 8*25=200
Current State: 40:[5, 200], Operations: ['45/9=5', '8*25=200']
Exploring Operation: 200/5=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[45, 8, 25, 9], Operations: []
Exploring Operation: 45-25=20, Resulting Numbers: [8, 9, 20]
Generated Node #0,0: 40:[8, 9, 20] Operation: 45-25=20
Moving to Node #0,0
Current State: 40:[8, 9, 20], Operations: ['45-25=20']
Exploring Operation: 9-8=1, Resulting Numbers: [20, 1]
Generated Node #0,0,0: 40:[20, 1] Operation: 9-8=1
Moving to Node #0,0,0
Current State: 40:[20, 1], Operations: ['45-25=20', '9-8=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,40 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
7,
25,
29,
22
] | 12 | [
"7+29=36",
"25-22=3",
"36/3=12"
] | Current State: 12:[7, 25, 29, 22], Operations: []
Exploring Operation: 7+29=36, Resulting Numbers: [25, 22, 36]
Generated Node #2: [25, 22, 36] from Operation: 7+29=36
Current State: 12:[25, 22, 36], Operations: ['7+29=36']
Exploring Operation: 25-22=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 25-22=3
Current State: 12:[36, 3], Operations: ['7+29=36', '25-22=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[7, 25, 29, 22], Operations: []
Exploring Operation: 29-22=7, Resulting Numbers: [7, 25, 7]
Generated Node #0,0: 12:[7, 25, 7] Operation: 29-22=7
Exploring Operation: 29-7=22, Resulting Numbers: [25, 22, 22]
Generated Node #0,1: 12:[25, 22, 22] Operation: 29-7=22
Exploring Operation: 25-7=18, Resulting Numbers: [29, 22, 18]
Generated Node #0,2: 12:[29, 22, 18] Operation: 25-7=18
Exploring Operation: 25-22=3, Resulting Numbers: [7, 29, 3]
Generated Node #0,3: 12:[7, 29, 3] Operation: 25-22=3
Exploring Operation: 29-25=4, Resulting Numbers: [7, 22, 4]
Generated Node #0,4: 12:[7, 22, 4] Operation: 29-25=4
Moving to Node #0,4
Current State: 12:[7, 22, 4], Operations: ['29-25=4']
Exploring Operation: 7-4=3, Resulting Numbers: [22, 3]
Generated Node #0,4,0: 12:[22, 3] Operation: 7-4=3
Exploring Operation: 22-7=15, Resulting Numbers: [4, 15]
Generated Node #0,4,1: 12:[4, 15] Operation: 22-7=15
Exploring Operation: 7+4=11, Resulting Numbers: [22, 11]
Generated Node #0,4,2: 12:[22, 11] Operation: 7+4=11
Exploring Operation: 22-4=18, Resulting Numbers: [7, 18]
Generated Node #0,4,3: 12:[7, 18] Operation: 22-4=18
Exploring Operation: 22+4=26, Resulting Numbers: [7, 26]
Generated Node #0,4,4: 12:[7, 26] Operation: 22+4=26
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 12:[4, 15], Operations: ['29-25=4', '22-7=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,12 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 #0,4,3
Current State: 12:[7, 18], Operations: ['29-25=4', '22-4=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,12 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 #0,4,0
Current State: 12:[22, 3], Operations: ['29-25=4', '7-4=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,12 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 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 #0,4,2
Current State: 12:[22, 11], Operations: ['29-25=4', '7+4=11']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,12 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,12 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 #0,4,4
Current State: 12:[7, 26], Operations: ['29-25=4', '22+4=26']
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,12 unequal: No Solution
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 12:[7, 25, 7], Operations: ['29-22=7']
Exploring Operation: 7/7=1, Resulting Numbers: [25, 1]
Generated Node #0,0,0: 12:[25, 1] Operation: 7/7=1
Exploring Operation: 25-7=18, Resulting Numbers: [7, 18]
Generated Node #0,0,1: 12:[7, 18] Operation: 25-7=18
Exploring Operation: 7-7=0, Resulting Numbers: [25, 0]
Generated Node #0,0,2: 12:[25, 0] Operation: 7-7=0
Exploring Operation: 25-7=18, Resulting Numbers: [7, 18]
Generated Node #0,0,3: 12:[7, 18] Operation: 25-7=18
Exploring Operation: 7+7=14, Resulting Numbers: [25, 14]
Generated Node #0,0,4: 12:[25, 14] Operation: 7+7=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 12:[7, 18], Operations: ['29-22=7', '25-7=18']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,12 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 12:[7, 18], Operations: ['29-22=7', '25-7=18']
Exploring Operation: 7*18=126, Resulting Numbers: [126]
126,12 unequal: No Solution
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 12:[25, 1], Operations: ['29-22=7', '7/7=1']
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 12:[25, 0], Operations: ['29-22=7', '7-7=0']
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 12:[25, 14], Operations: ['29-22=7', '7+7=14']
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,12 unequal: No Solution
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,12 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: 12:[7, 29, 3], Operations: ['25-22=3']
Exploring Operation: 29-7=22, Resulting Numbers: [3, 22]
Generated Node #0,3,0: 12:[3, 22] Operation: 29-7=22
Exploring Operation: 29+3=32, Resulting Numbers: [7, 32]
Generated Node #0,3,1: 12:[7, 32] Operation: 29+3=32
Exploring Operation: 7-3=4, Resulting Numbers: [29, 4]
Generated Node #0,3,2: 12:[29, 4] Operation: 7-3=4
Exploring Operation: 29-3=26, Resulting Numbers: [7, 26]
Generated Node #0,3,3: 12:[7, 26] Operation: 29-3=26
Exploring Operation: 7+3=10, Resulting Numbers: [29, 10]
Generated Node #0,3,4: 12:[29, 10] Operation: 7+3=10
Moving to Node #0,1
Current State: 12:[25, 22, 22], Operations: ['29-7=22']
Exploring Operation: 22/22=1, Resulting Numbers: [25, 1]
Generated Node #0,1,0: 12:[25, 1] Operation: 22/22=1
Exploring Operation: 25+22=47, Resulting Numbers: [22, 47]
Generated Node #0,1,1: 12:[22, 47] Operation: 25+22=47
Exploring Operation: 25-22=3, Resulting Numbers: [22, 3]
Generated Node #0,1,2: 12:[22, 3] Operation: 25-22=3
Exploring Operation: 22-22=0, Resulting Numbers: [25, 0]
Generated Node #0,1,3: 12:[25, 0] Operation: 22-22=0
Exploring Operation: 25-22=3, Resulting Numbers: [22, 3]
Generated Node #0,1,4: 12:[22, 3] Operation: 25-22=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 12:[22, 3], Operations: ['29-7=22', '25-22=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,12 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 #0,1,4
Current State: 12:[22, 3], Operations: ['29-7=22', '25-22=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 12:[25, 1], Operations: ['29-7=22', '22/22=1']
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 25*1=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25+1=26, Resulting Numbers: [26]
26,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 12:[25, 0], Operations: ['29-7=22', '22-22=0']
Exploring Operation: 25-0=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 25*0=0, Resulting Numbers: [0]
0,12 unequal: No Solution
Exploring Operation: 25+0=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 12:[22, 47], Operations: ['29-7=22', '25+22=47']
Exploring Operation: 22*47=1034, Resulting Numbers: [1034]
1034,12 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 22+47=69, Resulting Numbers: [69]
69,12 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: 12:[29, 22, 18], Operations: ['25-7=18']
Exploring Operation: 29+18=47, Resulting Numbers: [22, 47]
Generated Node #0,2,0: 12:[22, 47] Operation: 29+18=47
Exploring Operation: 29-22=7, Resulting Numbers: [18, 7]
Generated Node #0,2,1: 12:[18, 7] Operation: 29-22=7
Exploring Operation: 29+22=51, Resulting Numbers: [18, 51]
Generated Node #0,2,2: 12:[18, 51] Operation: 29+22=51
Exploring Operation: 22-18=4, Resulting Numbers: [29, 4]
Generated Node #0,2,3: 12:[29, 4] Operation: 22-18=4
Exploring Operation: 29-18=11, Resulting Numbers: [22, 11]
Generated Node #0,2,4: 12:[22, 11] Operation: 29-18=11
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 12:[18, 7], Operations: ['25-7=18', '29-22=7']
Exploring Operation: 18-7=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 18+7=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 18*7=126, Resulting Numbers: [126]
126,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 12:[22, 11], Operations: ['25-7=18', '29-18=11']
Exploring Operation: 22*11=242, Resulting Numbers: [242]
242,12 unequal: No Solution
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 22+11=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 12:[29, 4], Operations: ['25-7=18', '22-18=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,12 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[22, 47], Operations: ['25-7=18', '29+18=47']
Exploring Operation: 22+47=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 22*47=1034, Resulting Numbers: [1034]
1034,12 unequal: No Solution
Exploring Operation: 47-22=25, Resulting Numbers: [25]
25,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 12:[18, 51], Operations: ['25-7=18', '29+22=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,12 unequal: No Solution
Exploring Operation: 18*51=918, Resulting Numbers: [918]
918,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,0
Current State: 12:[3, 22], Operations: ['25-22=3', '29-7=22']
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,12 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[7, 26], Operations: ['25-22=3', '29-3=26']
Exploring Operation: 7+26=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 7*26=182, Resulting Numbers: [182]
182,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[29, 4], Operations: ['25-22=3', '7-3=4']
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,12 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Moving to Node #0,3,4
Current State: 12:[29, 10], Operations: ['25-22=3', '7+3=10']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 29*10=290, Resulting Numbers: [290]
290,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[7, 32], Operations: ['25-22=3', '29+3=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,12 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,12 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
21,
23,
4,
45
] | 29 | [
"45-21=24",
"24/4=6",
"23+6=29"
] | Current State: 29:[21, 23, 4, 45], Operations: []
Exploring Operation: 45-21=24, Resulting Numbers: [23, 4, 24]
Generated Node #2: [23, 4, 24] from Operation: 45-21=24
Current State: 29:[23, 4, 24], Operations: ['45-21=24']
Exploring Operation: 24/4=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 24/4=6
Current State: 29:[23, 6], Operations: ['45-21=24', '24/4=6']
Exploring Operation: 23+6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[21, 23, 4, 45], Operations: []
Exploring Operation: 45-4=41, Resulting Numbers: [21, 23, 41]
Generated Node #0,0: 29:[21, 23, 41] Operation: 45-4=41
Exploring Operation: 21+4=25, Resulting Numbers: [23, 45, 25]
Generated Node #0,1: 29:[23, 45, 25] Operation: 21+4=25
Exploring Operation: 23+4=27, Resulting Numbers: [21, 45, 27]
Generated Node #0,2: 29:[21, 45, 27] Operation: 23+4=27
Moving to Node #0,0
Current State: 29:[21, 23, 41], Operations: ['45-4=41']
Exploring Operation: 41-21=20, Resulting Numbers: [23, 20]
Generated Node #0,0,0: 29:[23, 20] Operation: 41-21=20
Exploring Operation: 21+23=44, Resulting Numbers: [41, 44]
Generated Node #0,0,1: 29:[41, 44] Operation: 21+23=44
Exploring Operation: 41-23=18, Resulting Numbers: [21, 18]
Generated Node #0,0,2: 29:[21, 18] Operation: 41-23=18
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[23, 20], Operations: ['45-4=41', '41-21=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,29 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 29:[21, 18], Operations: ['45-4=41', '41-23=18']
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,29 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 29:[41, 44], Operations: ['45-4=41', '21+23=44']
Exploring Operation: 41+44=85, Resulting Numbers: [85]
85,29 unequal: No Solution
Exploring Operation: 41*44=1804, Resulting Numbers: [1804]
1804,29 unequal: No Solution
Exploring Operation: 44-41=3, Resulting Numbers: [3]
3,29 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: 29:[23, 45, 25], Operations: ['21+4=25']
Exploring Operation: 45-23=22, Resulting Numbers: [25, 22]
Generated Node #0,1,0: 29:[25, 22] Operation: 45-23=22
Exploring Operation: 45-25=20, Resulting Numbers: [23, 20]
Generated Node #0,1,1: 29:[23, 20] Operation: 45-25=20
Exploring Operation: 23+25=48, Resulting Numbers: [45, 48]
Generated Node #0,1,2: 29:[45, 48] Operation: 23+25=48
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 29:[25, 22], Operations: ['21+4=25', '45-23=22']
Exploring Operation: 25*22=550, Resulting Numbers: [550]
550,29 unequal: No Solution
Exploring Operation: 25+22=47, Resulting Numbers: [47]
47,29 unequal: No Solution
Exploring Operation: 25-22=3, Resulting Numbers: [3]
3,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 29:[23, 20], Operations: ['21+4=25', '45-25=20']
Exploring Operation: 23+20=43, Resulting Numbers: [43]
43,29 unequal: No Solution
Exploring Operation: 23*20=460, Resulting Numbers: [460]
460,29 unequal: No Solution
Exploring Operation: 23-20=3, Resulting Numbers: [3]
3,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 29:[45, 48], Operations: ['21+4=25', '23+25=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,29 unequal: No Solution
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,29 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,29 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: 29:[21, 45, 27], Operations: ['23+4=27']
Exploring Operation: 45-27=18, Resulting Numbers: [21, 18]
Generated Node #0,2,0: 29:[21, 18] Operation: 45-27=18
Exploring Operation: 21+27=48, Resulting Numbers: [45, 48]
Generated Node #0,2,1: 29:[45, 48] Operation: 21+27=48
Exploring Operation: 45-21=24, Resulting Numbers: [27, 24]
Generated Node #0,2,2: 29:[27, 24] Operation: 45-21=24
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 29:[27, 24], Operations: ['23+4=27', '45-21=24']
Exploring Operation: 27+24=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 27-24=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 27*24=648, Resulting Numbers: [648]
648,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 29:[21, 18], Operations: ['23+4=27', '45-27=18']
Exploring Operation: 21+18=39, Resulting Numbers: [39]
39,29 unequal: No Solution
Exploring Operation: 21-18=3, Resulting Numbers: [3]
3,29 unequal: No Solution
Exploring Operation: 21*18=378, Resulting Numbers: [378]
378,29 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 29:[45, 48], Operations: ['23+4=27', '21+27=48']
Exploring Operation: 45*48=2160, Resulting Numbers: [2160]
2160,29 unequal: No Solution
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,29 unequal: No Solution
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,29 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 |
[
7,
82,
81,
69
] | 62 | [
"69-7=62",
"82-81=1",
"62*1=62"
] | Current State: 62:[7, 82, 81, 69], Operations: []
Exploring Operation: 69-7=62, Resulting Numbers: [82, 81, 62]
Generated Node #2: [82, 81, 62] from Operation: 69-7=62
Current State: 62:[82, 81, 62], Operations: ['69-7=62']
Exploring Operation: 82-81=1, Resulting Numbers: [62, 1]
Generated Node #3: [62, 1] from Operation: 82-81=1
Current State: 62:[62, 1], Operations: ['69-7=62', '82-81=1']
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[7, 82, 81, 69], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [7, 69, 1]
Generated Node #0,0: 62:[7, 69, 1] Operation: 82-81=1
Exploring Operation: 82-69=13, Resulting Numbers: [7, 81, 13]
Generated Node #0,1: 62:[7, 81, 13] Operation: 82-69=13
Moving to Node #0,0
Current State: 62:[7, 69, 1], Operations: ['82-81=1']
Exploring Operation: 69-7=62, Resulting Numbers: [1, 62]
Generated Node #0,0,0: 62:[1, 62] Operation: 69-7=62
Exploring Operation: 7-1=6, Resulting Numbers: [69, 6]
Generated Node #0,0,1: 62:[69, 6] Operation: 7-1=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[1, 62], Operations: ['82-81=1', '69-7=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[7, 82, 81, 69], Operations: []
Exploring Operation: 82-81=1, Resulting Numbers: [7, 69, 1]
Generated Node #0,0: 62:[7, 69, 1] Operation: 82-81=1
Moving to Node #0,0
Current State: 62:[7, 69, 1], Operations: ['82-81=1']
Exploring Operation: 69-7=62, Resulting Numbers: [1, 62]
Generated Node #0,0,0: 62:[1, 62] Operation: 69-7=62
Moving to Node #0,0,0
Current State: 62:[1, 62], Operations: ['82-81=1', '69-7=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
64,
43,
24,
52
] | 97 | [
"64-43=21",
"24+52=76",
"21+76=97"
] | Current State: 97:[64, 43, 24, 52], Operations: []
Exploring Operation: 64-43=21, Resulting Numbers: [24, 52, 21]
Generated Node #2: [24, 52, 21] from Operation: 64-43=21
Current State: 97:[24, 52, 21], Operations: ['64-43=21']
Exploring Operation: 24+52=76, Resulting Numbers: [21, 76]
Generated Node #3: [21, 76] from Operation: 24+52=76
Current State: 97:[21, 76], Operations: ['64-43=21', '24+52=76']
Exploring Operation: 21+76=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[64, 43, 24, 52], Operations: []
Exploring Operation: 43+24=67, Resulting Numbers: [64, 52, 67]
Generated Node #0,0: 97:[64, 52, 67] Operation: 43+24=67
Exploring Operation: 24+52=76, Resulting Numbers: [64, 43, 76]
Generated Node #0,1: 97:[64, 43, 76] Operation: 24+52=76
Exploring Operation: 43+52=95, Resulting Numbers: [64, 24, 95]
Generated Node #0,2: 97:[64, 24, 95] Operation: 43+52=95
Exploring Operation: 64+24=88, Resulting Numbers: [43, 52, 88]
Generated Node #0,3: 97:[43, 52, 88] Operation: 64+24=88
Moving to Node #0,0
Current State: 97:[64, 52, 67], Operations: ['43+24=67']
Exploring Operation: 52+67=119, Resulting Numbers: [64, 119]
Generated Node #0,0,0: 97:[64, 119] Operation: 52+67=119
Exploring Operation: 64-52=12, Resulting Numbers: [67, 12]
Generated Node #0,0,1: 97:[67, 12] Operation: 64-52=12
Exploring Operation: 64+67=131, Resulting Numbers: [52, 131]
Generated Node #0,0,2: 97:[52, 131] Operation: 64+67=131
Exploring Operation: 64+52=116, Resulting Numbers: [67, 116]
Generated Node #0,0,3: 97:[67, 116] Operation: 64+52=116
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 97:[67, 116], Operations: ['43+24=67', '64+52=116']
Exploring Operation: 67+116=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 67*116=7772, Resulting Numbers: [7772]
7772,97 unequal: No Solution
Exploring Operation: 116-67=49, Resulting Numbers: [49]
49,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[64, 119], Operations: ['43+24=67', '52+67=119']
Exploring Operation: 64+119=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 64*119=7616, Resulting Numbers: [7616]
7616,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[52, 131], Operations: ['43+24=67', '64+67=131']
Exploring Operation: 52*131=6812, Resulting Numbers: [6812]
6812,97 unequal: No Solution
Exploring Operation: 52+131=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 131-52=79, Resulting Numbers: [79]
79,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[67, 12], Operations: ['43+24=67', '64-52=12']
Exploring Operation: 67*12=804, Resulting Numbers: [804]
804,97 unequal: No Solution
Exploring Operation: 67-12=55, Resulting Numbers: [55]
55,97 unequal: No Solution
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,97 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: 97:[64, 24, 95], Operations: ['43+52=95']
Exploring Operation: 64-24=40, Resulting Numbers: [95, 40]
Generated Node #0,2,0: 97:[95, 40] Operation: 64-24=40
Exploring Operation: 24+95=119, Resulting Numbers: [64, 119]
Generated Node #0,2,1: 97:[64, 119] Operation: 24+95=119
Exploring Operation: 64+24=88, Resulting Numbers: [95, 88]
Generated Node #0,2,2: 97:[95, 88] Operation: 64+24=88
Exploring Operation: 95-24=71, Resulting Numbers: [64, 71]
Generated Node #0,2,3: 97:[64, 71] Operation: 95-24=71
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 97:[95, 88], Operations: ['43+52=95', '64+24=88']
Exploring Operation: 95+88=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 95*88=8360, Resulting Numbers: [8360]
8360,97 unequal: No Solution
Exploring Operation: 95-88=7, Resulting Numbers: [7]
7,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 97:[64, 119], Operations: ['43+52=95', '24+95=119']
Exploring Operation: 64*119=7616, Resulting Numbers: [7616]
7616,97 unequal: No Solution
Exploring Operation: 64+119=183, Resulting Numbers: [183]
183,97 unequal: No Solution
Exploring Operation: 119-64=55, Resulting Numbers: [55]
55,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 97:[95, 40], Operations: ['43+52=95', '64-24=40']
Exploring Operation: 95+40=135, Resulting Numbers: [135]
135,97 unequal: No Solution
Exploring Operation: 95*40=3800, Resulting Numbers: [3800]
3800,97 unequal: No Solution
Exploring Operation: 95-40=55, Resulting Numbers: [55]
55,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 97:[64, 71], Operations: ['43+52=95', '95-24=71']
Exploring Operation: 64+71=135, Resulting Numbers: [135]
135,97 unequal: No Solution
Exploring Operation: 64*71=4544, Resulting Numbers: [4544]
4544,97 unequal: No Solution
Exploring Operation: 71-64=7, Resulting Numbers: [7]
7,97 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: 97:[64, 43, 76], Operations: ['24+52=76']
Exploring Operation: 64+76=140, Resulting Numbers: [43, 140]
Generated Node #0,1,0: 97:[43, 140] Operation: 64+76=140
Exploring Operation: 64+43=107, Resulting Numbers: [76, 107]
Generated Node #0,1,1: 97:[76, 107] Operation: 64+43=107
Exploring Operation: 64-43=21, Resulting Numbers: [76, 21]
Generated Node #0,1,2: 97:[76, 21] Operation: 64-43=21
Exploring Operation: 43+76=119, Resulting Numbers: [64, 119]
Generated Node #0,1,3: 97:[64, 119] Operation: 43+76=119
Moving to Node #0,3
Current State: 97:[43, 52, 88], Operations: ['64+24=88']
Exploring Operation: 43+88=131, Resulting Numbers: [52, 131]
Generated Node #0,3,0: 97:[52, 131] Operation: 43+88=131
Exploring Operation: 52-43=9, Resulting Numbers: [88, 9]
Generated Node #0,3,1: 97:[88, 9] Operation: 52-43=9
Exploring Operation: 43+52=95, Resulting Numbers: [88, 95]
Generated Node #0,3,2: 97:[88, 95] Operation: 43+52=95
Exploring Operation: 88-43=45, Resulting Numbers: [52, 45]
Generated Node #0,3,3: 97:[52, 45] Operation: 88-43=45
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 97:[88, 95], Operations: ['64+24=88', '43+52=95']
Exploring Operation: 88*95=8360, Resulting Numbers: [8360]
8360,97 unequal: No Solution
Exploring Operation: 95-88=7, Resulting Numbers: [7]
7,97 unequal: No Solution
Exploring Operation: 88+95=183, Resulting Numbers: [183]
183,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 97:[52, 131], Operations: ['64+24=88', '43+88=131']
Exploring Operation: 52*131=6812, Resulting Numbers: [6812]
6812,97 unequal: No Solution
Exploring Operation: 131-52=79, Resulting Numbers: [79]
79,97 unequal: No Solution
Exploring Operation: 52+131=183, Resulting Numbers: [183]
183,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 97:[88, 9], Operations: ['64+24=88', '52-43=9']
Exploring Operation: 88*9=792, Resulting Numbers: [792]
792,97 unequal: No Solution
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[64, 43, 24, 52], Operations: []
Exploring Operation: 64+24=88, Resulting Numbers: [43, 52, 88]
Generated Node #0,3: 97:[43, 52, 88] Operation: 64+24=88
Moving to Node #0,3
Current State: 97:[43, 52, 88], Operations: ['64+24=88']
Exploring Operation: 52-43=9, Resulting Numbers: [88, 9]
Generated Node #0,3,1: 97:[88, 9] Operation: 52-43=9
Moving to Node #0,3,1
Current State: 97:[88, 9], Operations: ['64+24=88', '52-43=9']
Exploring Operation: 88+9=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 | hs_4 | sum_heuristic |
[
29,
17,
7,
45
] | 84 | [
"29+17=46",
"45-7=38",
"46+38=84"
] | Current State: 84:[29, 17, 7, 45], Operations: []
Exploring Operation: 29+17=46, Resulting Numbers: [7, 45, 46]
Generated Node #2: [7, 45, 46] from Operation: 29+17=46
Current State: 84:[7, 45, 46], Operations: ['29+17=46']
Exploring Operation: 45-7=38, Resulting Numbers: [46, 38]
Generated Node #3: [46, 38] from Operation: 45-7=38
Current State: 84:[46, 38], Operations: ['29+17=46', '45-7=38']
Exploring Operation: 46+38=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[29, 17, 7, 45], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [7, 45, 12]
Generated Node #0,0: 84:[7, 45, 12] Operation: 29-17=12
Exploring Operation: 17-7=10, Resulting Numbers: [29, 45, 10]
Generated Node #0,1: 84:[29, 45, 10] Operation: 17-7=10
Exploring Operation: 45-17=28, Resulting Numbers: [29, 7, 28]
Generated Node #0,2: 84:[29, 7, 28] Operation: 45-17=28
Exploring Operation: 45-29=16, Resulting Numbers: [17, 7, 16]
Generated Node #0,3: 84:[17, 7, 16] Operation: 45-29=16
Moving to Node #0,2
Current State: 84:[29, 7, 28], Operations: ['45-17=28']
Exploring Operation: 28/7=4, Resulting Numbers: [29, 4]
Generated Node #0,2,0: 84:[29, 4] Operation: 28/7=4
Exploring Operation: 28-7=21, Resulting Numbers: [29, 21]
Generated Node #0,2,1: 84:[29, 21] Operation: 28-7=21
Exploring Operation: 29-28=1, Resulting Numbers: [7, 1]
Generated Node #0,2,2: 84:[7, 1] Operation: 29-28=1
Exploring Operation: 29-7=22, Resulting Numbers: [28, 22]
Generated Node #0,2,3: 84:[28, 22] Operation: 29-7=22
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 84:[29, 4], Operations: ['45-17=28', '28/7=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,84 unequal: No Solution
Exploring Operation: 29*4=116, Resulting Numbers: [116]
116,84 unequal: No Solution
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,84 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 #0,2,1
Current State: 84:[29, 21], Operations: ['45-17=28', '28-7=21']
Exploring Operation: 29-21=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 29*21=609, Resulting Numbers: [609]
609,84 unequal: No Solution
Exploring Operation: 29+21=50, Resulting Numbers: [50]
50,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 84:[7, 1], Operations: ['45-17=28', '29-28=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,84 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 #0,2,3
Current State: 84:[28, 22], Operations: ['45-17=28', '29-7=22']
Exploring Operation: 28-22=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 28*22=616, Resulting Numbers: [616]
616,84 unequal: No Solution
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 84:[7, 45, 12], Operations: ['29-17=12']
Exploring Operation: 12-7=5, Resulting Numbers: [45, 5]
Generated Node #0,0,0: 84:[45, 5] Operation: 12-7=5
Exploring Operation: 7*12=84, Resulting Numbers: [45, 84]
Generated Node #0,0,1: 84:[45, 84] Operation: 7*12=84
Exploring Operation: 45-7=38, Resulting Numbers: [12, 38]
Generated Node #0,0,2: 84:[12, 38] Operation: 45-7=38
Exploring Operation: 7+12=19, Resulting Numbers: [45, 19]
Generated Node #0,0,3: 84:[45, 19] Operation: 7+12=19
Moving to Node #0,3
Current State: 84:[17, 7, 16], Operations: ['45-29=16']
Exploring Operation: 17-7=10, Resulting Numbers: [16, 10]
Generated Node #0,3,0: 84:[16, 10] Operation: 17-7=10
Exploring Operation: 17+7=24, Resulting Numbers: [16, 24]
Generated Node #0,3,1: 84:[16, 24] Operation: 17+7=24
Exploring Operation: 17-16=1, Resulting Numbers: [7, 1]
Generated Node #0,3,2: 84:[7, 1] Operation: 17-16=1
Exploring Operation: 17+16=33, Resulting Numbers: [7, 33]
Generated Node #0,3,3: 84:[7, 33] Operation: 17+16=33
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[7, 1], Operations: ['45-29=16', '17-16=1']
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,84 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 #0,3,0
Current State: 84:[16, 10], Operations: ['45-29=16', '17-7=10']
Exploring Operation: 16*10=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,84 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 #0,3,1
Current State: 84:[16, 24], Operations: ['45-29=16', '17+7=24']
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,84 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 #0,3,3
Current State: 84:[7, 33], Operations: ['45-29=16', '17+16=33']
Exploring Operation: 7*33=231, Resulting Numbers: [231]
231,84 unequal: No Solution
Exploring Operation: 7+33=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 33-7=26, Resulting Numbers: [26]
26,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 84:[29, 45, 10], Operations: ['17-7=10']
Exploring Operation: 29+10=39, Resulting Numbers: [45, 39]
Generated Node #0,1,0: 84:[45, 39] Operation: 29+10=39
Exploring Operation: 45-29=16, Resulting Numbers: [10, 16]
Generated Node #0,1,1: 84:[10, 16] Operation: 45-29=16
Exploring Operation: 45-10=35, Resulting Numbers: [29, 35]
Generated Node #0,1,2: 84:[29, 35] Operation: 45-10=35
Exploring Operation: 29-10=19, Resulting Numbers: [45, 19]
Generated Node #0,1,3: 84:[45, 19] Operation: 29-10=19
Moving to Node #0,0,1
Current State: 84:[45, 84], Operations: ['29-17=12', '7*12=84']
Exploring Operation: 45*84=3780, Resulting Numbers: [3780]
3780,84 unequal: No Solution
Exploring Operation: 45+84=129, Resulting Numbers: [129]
129,84 unequal: No Solution
Exploring Operation: 84-45=39, Resulting Numbers: [39]
39,84 unequal: No Solution
Moving to Node #0,0,2
Current State: 84:[12, 38], Operations: ['29-17=12', '45-7=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,84 unequal: No Solution
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,0,0
Current State: 84:[45, 5], Operations: ['29-17=12', '12-7=5']
Exploring Operation: 45/5=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 45-5=40, Resulting Numbers: [40]
40,84 unequal: No Solution
Exploring Operation: 45*5=225, Resulting Numbers: [225]
225,84 unequal: No Solution
Exploring Operation: 45+5=50, Resulting Numbers: [50]
50,84 unequal: No Solution
Moving to Node #0,1,1
Current State: 84:[10, 16], Operations: ['17-7=10', '45-29=16']
Exploring Operation: 10*16=160, Resulting Numbers: [160]
160,84 unequal: No Solution
Exploring Operation: 16-10=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 10+16=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,1,3
Current State: 84:[45, 19], Operations: ['17-7=10', '29-10=19']
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,84 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Moving to Node #0,0,3
Current State: 84:[45, 19], Operations: ['29-17=12', '7+12=19']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,84 unequal: No Solution
Exploring Operation: 45*19=855, Resulting Numbers: [855]
855,84 unequal: No Solution
Exploring Operation: 45+19=64, Resulting Numbers: [64]
64,84 unequal: No Solution
Moving to Node #0,1,0
Current State: 84:[45, 39], Operations: ['17-7=10', '29+10=39']
Exploring Operation: 45-39=6, Resulting Numbers: [6]
6,84 unequal: No Solution
Exploring Operation: 45*39=1755, Resulting Numbers: [1755]
1755,84 unequal: No Solution
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[29, 17, 7, 45], Operations: []
Exploring Operation: 17-7=10, Resulting Numbers: [29, 45, 10]
Generated Node #0,1: 84:[29, 45, 10] Operation: 17-7=10
Moving to Node #0,1
Current State: 84:[29, 45, 10], Operations: ['17-7=10']
Exploring Operation: 29+10=39, Resulting Numbers: [45, 39]
Generated Node #0,1,0: 84:[45, 39] Operation: 29+10=39
Moving to Node #0,1,0
Current State: 84:[45, 39], Operations: ['17-7=10', '29+10=39']
Exploring Operation: 45+39=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.9375 | hs_4 | mult_heuristic |
[
24,
77,
6,
39
] | 79 | [
"24/6=4",
"39*4=156",
"156-77=79"
] | Current State: 79:[24, 77, 6, 39], Operations: []
Exploring Operation: 24/6=4, Resulting Numbers: [77, 39, 4]
Generated Node #2: [77, 39, 4] from Operation: 24/6=4
Current State: 79:[77, 39, 4], Operations: ['24/6=4']
Exploring Operation: 39*4=156, Resulting Numbers: [77, 156]
Generated Node #3: [77, 156] from Operation: 39*4=156
Current State: 79:[77, 156], Operations: ['24/6=4', '39*4=156']
Exploring Operation: 156-77=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[24, 77, 6, 39], Operations: []
Exploring Operation: 24+39=63, Resulting Numbers: [77, 6, 63]
Generated Node #0,0: 79:[77, 6, 63] Operation: 24+39=63
Exploring Operation: 24-6=18, Resulting Numbers: [77, 39, 18]
Generated Node #0,1: 79:[77, 39, 18] Operation: 24-6=18
Exploring Operation: 6+39=45, Resulting Numbers: [24, 77, 45]
Generated Node #0,2: 79:[24, 77, 45] Operation: 6+39=45
Exploring Operation: 24+6=30, Resulting Numbers: [77, 39, 30]
Generated Node #0,3: 79:[77, 39, 30] Operation: 24+6=30
Exploring Operation: 77+6=83, Resulting Numbers: [24, 39, 83]
Generated Node #0,4: 79:[24, 39, 83] Operation: 77+6=83
Moving to Node #0,0
Current State: 79:[77, 6, 63], Operations: ['24+39=63']
Exploring Operation: 77+6=83, Resulting Numbers: [63, 83]
Generated Node #0,0,0: 79:[63, 83] Operation: 77+6=83
Exploring Operation: 77-6=71, Resulting Numbers: [63, 71]
Generated Node #0,0,1: 79:[63, 71] Operation: 77-6=71
Exploring Operation: 77+63=140, Resulting Numbers: [6, 140]
Generated Node #0,0,2: 79:[6, 140] Operation: 77+63=140
Exploring Operation: 63-6=57, Resulting Numbers: [77, 57]
Generated Node #0,0,3: 79:[77, 57] Operation: 63-6=57
Exploring Operation: 6+63=69, Resulting Numbers: [77, 69]
Generated Node #0,0,4: 79:[77, 69] Operation: 6+63=69
Moving to Node #0,3
Current State: 79:[77, 39, 30], Operations: ['24+6=30']
Exploring Operation: 77+30=107, Resulting Numbers: [39, 107]
Generated Node #0,3,0: 79:[39, 107] Operation: 77+30=107
Exploring Operation: 77+39=116, Resulting Numbers: [30, 116]
Generated Node #0,3,1: 79:[30, 116] Operation: 77+39=116
Exploring Operation: 39+30=69, Resulting Numbers: [77, 69]
Generated Node #0,3,2: 79:[77, 69] Operation: 39+30=69
Exploring Operation: 77-30=47, Resulting Numbers: [39, 47]
Generated Node #0,3,3: 79:[39, 47] Operation: 77-30=47
Exploring Operation: 39-30=9, Resulting Numbers: [77, 9]
Generated Node #0,3,4: 79:[77, 9] Operation: 39-30=9
Moving to Node #0,2
Current State: 79:[24, 77, 45], Operations: ['6+39=45']
Exploring Operation: 24+45=69, Resulting Numbers: [77, 69]
Generated Node #0,2,0: 79:[77, 69] Operation: 24+45=69
Exploring Operation: 77+45=122, Resulting Numbers: [24, 122]
Generated Node #0,2,1: 79:[24, 122] Operation: 77+45=122
Exploring Operation: 24+77=101, Resulting Numbers: [45, 101]
Generated Node #0,2,2: 79:[45, 101] Operation: 24+77=101
Exploring Operation: 45-24=21, Resulting Numbers: [77, 21]
Generated Node #0,2,3: 79:[77, 21] Operation: 45-24=21
Exploring Operation: 77-24=53, Resulting Numbers: [45, 53]
Generated Node #0,2,4: 79:[45, 53] Operation: 77-24=53
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 79:[77, 69], Operations: ['6+39=45', '24+45=69']
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 77+69=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 77*69=5313, Resulting Numbers: [5313]
5313,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 79:[45, 101], Operations: ['6+39=45', '24+77=101']
Exploring Operation: 45+101=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 101-45=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Exploring Operation: 45*101=4545, Resulting Numbers: [4545]
4545,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 79:[77, 21], Operations: ['6+39=45', '45-24=21']
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,79 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 79:[45, 53], Operations: ['6+39=45', '77-24=53']
Exploring Operation: 53-45=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 45+53=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 45*53=2385, Resulting Numbers: [2385]
2385,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 79:[24, 122], Operations: ['6+39=45', '77+45=122']
Exploring Operation: 24*122=2928, Resulting Numbers: [2928]
2928,79 unequal: No Solution
Exploring Operation: 24+122=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 122-24=98, Resulting Numbers: [98]
98,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4
Current State: 79:[24, 39, 83], Operations: ['77+6=83']
Exploring Operation: 24+83=107, Resulting Numbers: [39, 107]
Generated Node #0,4,0: 79:[39, 107] Operation: 24+83=107
Exploring Operation: 83-24=59, Resulting Numbers: [39, 59]
Generated Node #0,4,1: 79:[39, 59] Operation: 83-24=59
Exploring Operation: 24+39=63, Resulting Numbers: [83, 63]
Generated Node #0,4,2: 79:[83, 63] Operation: 24+39=63
Exploring Operation: 83-39=44, Resulting Numbers: [24, 44]
Generated Node #0,4,3: 79:[24, 44] Operation: 83-39=44
Exploring Operation: 39-24=15, Resulting Numbers: [83, 15]
Generated Node #0,4,4: 79:[83, 15] Operation: 39-24=15
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 79:[83, 63], Operations: ['77+6=83', '24+39=63']
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 83+63=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 83*63=5229, Resulting Numbers: [5229]
5229,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 79:[39, 59], Operations: ['77+6=83', '83-24=59']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 79:[39, 107], Operations: ['77+6=83', '24+83=107']
Exploring Operation: 107-39=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 39+107=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 39*107=4173, Resulting Numbers: [4173]
4173,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 79:[83, 15], Operations: ['77+6=83', '39-24=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 83*15=1245, Resulting Numbers: [1245]
1245,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 79:[24, 44], Operations: ['77+6=83', '83-39=44']
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 79:[77, 39, 18], Operations: ['24-6=18']
Exploring Operation: 39+18=57, Resulting Numbers: [77, 57]
Generated Node #0,1,0: 79:[77, 57] Operation: 39+18=57
Exploring Operation: 77+18=95, Resulting Numbers: [39, 95]
Generated Node #0,1,1: 79:[39, 95] Operation: 77+18=95
Exploring Operation: 77+39=116, Resulting Numbers: [18, 116]
Generated Node #0,1,2: 79:[18, 116] Operation: 77+39=116
Exploring Operation: 77-18=59, Resulting Numbers: [39, 59]
Generated Node #0,1,3: 79:[39, 59] Operation: 77-18=59
Exploring Operation: 39-18=21, Resulting Numbers: [77, 21]
Generated Node #0,1,4: 79:[77, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 79:[77, 57], Operations: ['24-6=18', '39+18=57']
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 77*57=4389, Resulting Numbers: [4389]
4389,79 unequal: No Solution
Exploring Operation: 77+57=134, Resulting Numbers: [134]
134,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 79:[39, 95], Operations: ['24-6=18', '77+18=95']
Exploring Operation: 39*95=3705, Resulting Numbers: [3705]
3705,79 unequal: No Solution
Exploring Operation: 39+95=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 95-39=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 79:[39, 59], Operations: ['24-6=18', '77-18=59']
Exploring Operation: 39*59=2301, Resulting Numbers: [2301]
2301,79 unequal: No Solution
Exploring Operation: 39+59=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 79:[77, 21], Operations: ['24-6=18', '39-18=21']
Exploring Operation: 77*21=1617, Resulting Numbers: [1617]
1617,79 unequal: No Solution
Exploring Operation: 77+21=98, Resulting Numbers: [98]
98,79 unequal: No Solution
Exploring Operation: 77-21=56, Resulting Numbers: [56]
56,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 79:[18, 116], Operations: ['24-6=18', '77+39=116']
Exploring Operation: 18*116=2088, Resulting Numbers: [2088]
2088,79 unequal: No Solution
Exploring Operation: 18+116=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 116-18=98, Resulting Numbers: [98]
98,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,4
Current State: 79:[77, 69], Operations: ['24+39=63', '6+63=69']
Exploring Operation: 77*69=5313, Resulting Numbers: [5313]
5313,79 unequal: No Solution
Exploring Operation: 77+69=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[77, 69], Operations: ['24+6=30', '39+30=69']
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 77*69=5313, Resulting Numbers: [5313]
5313,79 unequal: No Solution
Exploring Operation: 77+69=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[63, 83], Operations: ['24+39=63', '77+6=83']
Exploring Operation: 63+83=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 83-63=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 63*83=5229, Resulting Numbers: [5229]
5229,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[63, 71], Operations: ['24+39=63', '77-6=71']
Exploring Operation: 63*71=4473, Resulting Numbers: [4473]
4473,79 unequal: No Solution
Exploring Operation: 63+71=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 71-63=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[77, 57], Operations: ['24+39=63', '63-6=57']
Exploring Operation: 77+57=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 77-57=20, Resulting Numbers: [20]
20,79 unequal: No Solution
Exploring Operation: 77*57=4389, Resulting Numbers: [4389]
4389,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[39, 107], Operations: ['24+6=30', '77+30=107']
Exploring Operation: 39*107=4173, Resulting Numbers: [4173]
4173,79 unequal: No Solution
Exploring Operation: 39+107=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 107-39=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[39, 47], Operations: ['24+6=30', '77-30=47']
Exploring Operation: 39*47=1833, Resulting Numbers: [1833]
1833,79 unequal: No Solution
Exploring Operation: 47-39=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 39+47=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Moving to Node #0,3,4
Current State: 79:[77, 9], Operations: ['24+6=30', '39-30=9']
Exploring Operation: 77+9=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 77*9=693, Resulting Numbers: [693]
693,79 unequal: No Solution
Exploring Operation: 77-9=68, Resulting Numbers: [68]
68,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[30, 116], Operations: ['24+6=30', '77+39=116']
Exploring Operation: 30*116=3480, Resulting Numbers: [3480]
3480,79 unequal: No Solution
Exploring Operation: 116-30=86, Resulting Numbers: [86]
86,79 unequal: No Solution
Exploring Operation: 30+116=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[6, 140], Operations: ['24+39=63', '77+63=140']
Exploring Operation: 6*140=840, Resulting Numbers: [840]
840,79 unequal: No Solution
Exploring Operation: 6+140=146, Resulting Numbers: [146]
146,79 unequal: No Solution
Exploring Operation: 140-6=134, Resulting Numbers: [134]
134,79 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
56,
7,
51,
95
] | 93 | [
"56-7=49",
"95-51=44",
"49+44=93"
] | Current State: 93:[56, 7, 51, 95], Operations: []
Exploring Operation: 56-7=49, Resulting Numbers: [51, 95, 49]
Generated Node #2: [51, 95, 49] from Operation: 56-7=49
Current State: 93:[51, 95, 49], Operations: ['56-7=49']
Exploring Operation: 95-51=44, Resulting Numbers: [49, 44]
Generated Node #3: [49, 44] from Operation: 95-51=44
Current State: 93:[49, 44], Operations: ['56-7=49', '95-51=44']
Exploring Operation: 49+44=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[56, 7, 51, 95], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [7, 95, 5]
Generated Node #0,0: 93:[7, 95, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 93:[7, 95, 5], Operations: ['56-51=5']
Exploring Operation: 7-5=2, Resulting Numbers: [95, 2]
Generated Node #0,0,0: 93:[95, 2] Operation: 7-5=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[95, 2], Operations: ['56-51=5', '7-5=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[56, 7, 51, 95], Operations: []
Exploring Operation: 56-51=5, Resulting Numbers: [7, 95, 5]
Generated Node #0,0: 93:[7, 95, 5] Operation: 56-51=5
Moving to Node #0,0
Current State: 93:[7, 95, 5], Operations: ['56-51=5']
Exploring Operation: 7-5=2, Resulting Numbers: [95, 2]
Generated Node #0,0,0: 93:[95, 2] Operation: 7-5=2
Moving to Node #0,0,0
Current State: 93:[95, 2], Operations: ['56-51=5', '7-5=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
65,
6,
19,
13
] | 89 | [
"65*19=1235",
"1235/13=95",
"95-6=89"
] | Current State: 89:[65, 6, 19, 13], Operations: []
Exploring Operation: 65*19=1235, Resulting Numbers: [6, 13, 1235]
Generated Node #2: [6, 13, 1235] from Operation: 65*19=1235
Current State: 89:[6, 13, 1235], Operations: ['65*19=1235']
Exploring Operation: 1235/13=95, Resulting Numbers: [6, 95]
Generated Node #3: [6, 95] from Operation: 1235/13=95
Current State: 89:[6, 95], Operations: ['65*19=1235', '1235/13=95']
Exploring Operation: 95-6=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[65, 6, 19, 13], Operations: []
Exploring Operation: 65+19=84, Resulting Numbers: [6, 13, 84]
Generated Node #0,0: 89:[6, 13, 84] Operation: 65+19=84
Exploring Operation: 6*19=114, Resulting Numbers: [65, 13, 114]
Generated Node #0,1: 89:[65, 13, 114] Operation: 6*19=114
Exploring Operation: 65+6=71, Resulting Numbers: [19, 13, 71]
Generated Node #0,2: 89:[19, 13, 71] Operation: 65+6=71
Exploring Operation: 6*13=78, Resulting Numbers: [65, 19, 78]
Generated Node #0,3: 89:[65, 19, 78] Operation: 6*13=78
Start Sub Search at level 1: Moving to Node #0,3
Current State: 89:[65, 19, 78], Operations: ['6*13=78']
Exploring Operation: 78-19=59, Resulting Numbers: [65, 59]
Generated Node #0,3,0: 89:[65, 59] Operation: 78-19=59
Exploring Operation: 65-19=46, Resulting Numbers: [78, 46]
Generated Node #0,3,1: 89:[78, 46] Operation: 65-19=46
Exploring Operation: 19+78=97, Resulting Numbers: [65, 97]
Generated Node #0,3,2: 89:[65, 97] Operation: 19+78=97
Exploring Operation: 65+19=84, Resulting Numbers: [78, 84]
Generated Node #0,3,3: 89:[78, 84] Operation: 65+19=84
Moving to Node #0,3,3
Current State: 89:[78, 84], Operations: ['6*13=78', '65+19=84']
Exploring Operation: 78*84=6552, Resulting Numbers: [6552]
6552,89 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 78+84=162, Resulting Numbers: [162]
162,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[65, 97], Operations: ['6*13=78', '19+78=97']
Exploring Operation: 65+97=162, Resulting Numbers: [162]
162,89 unequal: No Solution
Exploring Operation: 97-65=32, Resulting Numbers: [32]
32,89 unequal: No Solution
Exploring Operation: 65*97=6305, Resulting Numbers: [6305]
6305,89 unequal: No Solution
Moving to Node #0,3,1
Current State: 89:[78, 46], Operations: ['6*13=78', '65-19=46']
Exploring Operation: 78*46=3588, Resulting Numbers: [3588]
3588,89 unequal: No Solution
Exploring Operation: 78+46=124, Resulting Numbers: [124]
124,89 unequal: No Solution
Exploring Operation: 78-46=32, Resulting Numbers: [32]
32,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[65, 59], Operations: ['6*13=78', '78-19=59']
Exploring Operation: 65-59=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 65+59=124, Resulting Numbers: [124]
124,89 unequal: No Solution
Exploring Operation: 65*59=3835, Resulting Numbers: [3835]
3835,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[65, 13, 114], Operations: ['6*19=114']
Exploring Operation: 114-13=101, Resulting Numbers: [65, 101]
Generated Node #0,1,0: 89:[65, 101] Operation: 114-13=101
Exploring Operation: 65-13=52, Resulting Numbers: [114, 52]
Generated Node #0,1,1: 89:[114, 52] Operation: 65-13=52
Exploring Operation: 65+13=78, Resulting Numbers: [114, 78]
Generated Node #0,1,2: 89:[114, 78] Operation: 65+13=78
Exploring Operation: 13+114=127, Resulting Numbers: [65, 127]
Generated Node #0,1,3: 89:[65, 127] Operation: 13+114=127
Moving to Node #0,1,0
Current State: 89:[65, 101], Operations: ['6*19=114', '114-13=101']
Exploring Operation: 65*101=6565, Resulting Numbers: [6565]
6565,89 unequal: No Solution
Exploring Operation: 65+101=166, Resulting Numbers: [166]
166,89 unequal: No Solution
Exploring Operation: 101-65=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[114, 78], Operations: ['6*19=114', '65+13=78']
Exploring Operation: 114+78=192, Resulting Numbers: [192]
192,89 unequal: No Solution
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,89 unequal: No Solution
Exploring Operation: 114*78=8892, Resulting Numbers: [8892]
8892,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[65, 127], Operations: ['6*19=114', '13+114=127']
Exploring Operation: 65*127=8255, Resulting Numbers: [8255]
8255,89 unequal: No Solution
Exploring Operation: 65+127=192, Resulting Numbers: [192]
192,89 unequal: No Solution
Exploring Operation: 127-65=62, Resulting Numbers: [62]
62,89 unequal: No Solution
Moving to Node #0,1,1
Current State: 89:[114, 52], Operations: ['6*19=114', '65-13=52']
Exploring Operation: 114+52=166, Resulting Numbers: [166]
166,89 unequal: No Solution
Exploring Operation: 114*52=5928, Resulting Numbers: [5928]
5928,89 unequal: No Solution
Exploring Operation: 114-52=62, Resulting Numbers: [62]
62,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[6, 13, 84], Operations: ['65+19=84']
Exploring Operation: 13-6=7, Resulting Numbers: [84, 7]
Generated Node #0,0,0: 89:[84, 7] Operation: 13-6=7
Exploring Operation: 6*13=78, Resulting Numbers: [84, 78]
Generated Node #0,0,1: 89:[84, 78] Operation: 6*13=78
Exploring Operation: 6+84=90, Resulting Numbers: [13, 90]
Generated Node #0,0,2: 89:[13, 90] Operation: 6+84=90
Exploring Operation: 6+13=19, Resulting Numbers: [84, 19]
Generated Node #0,0,3: 89:[84, 19] Operation: 6+13=19
Moving to Node #0,0,1
Current State: 89:[84, 78], Operations: ['65+19=84', '6*13=78']
Exploring Operation: 84+78=162, Resulting Numbers: [162]
162,89 unequal: No Solution
Exploring Operation: 84-78=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 84*78=6552, Resulting Numbers: [6552]
6552,89 unequal: No Solution
Moving to Node #0,0,3
Current State: 89:[84, 19], Operations: ['65+19=84', '6+13=19']
Exploring Operation: 84+19=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 84*19=1596, Resulting Numbers: [1596]
1596,89 unequal: No Solution
Moving to Node #0,0,2
Current State: 89:[13, 90], Operations: ['65+19=84', '6+84=90']
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,89 unequal: No Solution
Exploring Operation: 13*90=1170, Resulting Numbers: [1170]
1170,89 unequal: No Solution
Exploring Operation: 13+90=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Moving to Node #0,0,0
Current State: 89:[84, 7], Operations: ['65+19=84', '13-6=7']
Exploring Operation: 84+7=91, Resulting Numbers: [91]
91,89 unequal: No Solution
Exploring Operation: 84*7=588, Resulting Numbers: [588]
588,89 unequal: No Solution
Exploring Operation: 84/7=12, Resulting Numbers: [12]
12,89 unequal: No Solution
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,89 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:[19, 13, 71], Operations: ['65+6=71']
Exploring Operation: 19+71=90, Resulting Numbers: [13, 90]
Generated Node #0,2,0: 89:[13, 90] Operation: 19+71=90
Exploring Operation: 19+13=32, Resulting Numbers: [71, 32]
Generated Node #0,2,1: 89:[71, 32] Operation: 19+13=32
Exploring Operation: 13+71=84, Resulting Numbers: [19, 84]
Generated Node #0,2,2: 89:[19, 84] Operation: 13+71=84
Exploring Operation: 19-13=6, Resulting Numbers: [71, 6]
Generated Node #0,2,3: 89:[71, 6] Operation: 19-13=6
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 89:[71, 32], Operations: ['65+6=71', '19+13=32']
Exploring Operation: 71+32=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,89 unequal: No Solution
Exploring Operation: 71*32=2272, Resulting Numbers: [2272]
2272,89 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:[19, 84], Operations: ['65+6=71', '13+71=84']
Exploring Operation: 84-19=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 19+84=103, Resulting Numbers: [103]
103,89 unequal: No Solution
Exploring Operation: 19*84=1596, Resulting Numbers: [1596]
1596,89 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 #0,2,0
Current State: 89:[13, 90], Operations: ['65+6=71', '19+71=90']
Exploring Operation: 13*90=1170, Resulting Numbers: [1170]
1170,89 unequal: No Solution
Exploring Operation: 90-13=77, Resulting Numbers: [77]
77,89 unequal: No Solution
Exploring Operation: 13+90=103, Resulting Numbers: [103]
103,89 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 #0,2,3
Current State: 89:[71, 6], Operations: ['65+6=71', '19-13=6']
Exploring Operation: 71*6=426, Resulting Numbers: [426]
426,89 unequal: No Solution
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,89 unequal: No Solution
Exploring Operation: 71+6=77, Resulting Numbers: [77]
77,89 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
No solution found.
| 0 | hs_4 | mult_heuristic |
[
47,
28,
43,
2
] | 52 | [
"47-43=4",
"28*2=56",
"56-4=52"
] | Current State: 52:[47, 28, 43, 2], Operations: []
Exploring Operation: 47-43=4, Resulting Numbers: [28, 2, 4]
Generated Node #2: [28, 2, 4] from Operation: 47-43=4
Current State: 52:[28, 2, 4], Operations: ['47-43=4']
Exploring Operation: 28*2=56, Resulting Numbers: [4, 56]
Generated Node #3: [4, 56] from Operation: 28*2=56
Current State: 52:[4, 56], Operations: ['47-43=4', '28*2=56']
Exploring Operation: 56-4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[47, 28, 43, 2], Operations: []
Exploring Operation: 43-28=15, Resulting Numbers: [47, 2, 15]
Generated Node #0,0: 52:[47, 2, 15] Operation: 43-28=15
Exploring Operation: 47-43=4, Resulting Numbers: [28, 2, 4]
Generated Node #0,1: 52:[28, 2, 4] Operation: 47-43=4
Exploring Operation: 47+2=49, Resulting Numbers: [28, 43, 49]
Generated Node #0,2: 52:[28, 43, 49] Operation: 47+2=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[28, 2, 4], Operations: ['47-43=4']
Exploring Operation: 28-2=26, Resulting Numbers: [4, 26]
Generated Node #0,1,0: 52:[4, 26] Operation: 28-2=26
Exploring Operation: 28-4=24, Resulting Numbers: [2, 24]
Generated Node #0,1,1: 52:[2, 24] Operation: 28-4=24
Exploring Operation: 28/2=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 52:[4, 14] Operation: 28/2=14
Moving to Node #0,1,0
Current State: 52:[4, 26], Operations: ['47-43=4', '28-2=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 4*26=104, Resulting Numbers: [104]
104,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[4, 14], Operations: ['47-43=4', '28/2=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,52 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,52 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[2, 24], Operations: ['47-43=4', '28-4=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,52 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[47, 2, 15], Operations: ['43-28=15']
Exploring Operation: 47+2=49, Resulting Numbers: [15, 49]
Generated Node #0,0,0: 52:[15, 49] Operation: 47+2=49
Exploring Operation: 15-2=13, Resulting Numbers: [47, 13]
Generated Node #0,0,1: 52:[47, 13] Operation: 15-2=13
Exploring Operation: 47-15=32, Resulting Numbers: [2, 32]
Generated Node #0,0,2: 52:[2, 32] Operation: 47-15=32
Moving to Node #0,0,0
Current State: 52:[15, 49], Operations: ['43-28=15', '47+2=49']
Exploring Operation: 15*49=735, Resulting Numbers: [735]
735,52 unequal: No Solution
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[47, 13], Operations: ['43-28=15', '15-2=13']
Exploring Operation: 47+13=60, Resulting Numbers: [60]
60,52 unequal: No Solution
Exploring Operation: 47-13=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 47*13=611, Resulting Numbers: [611]
611,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[2, 32], Operations: ['43-28=15', '47-15=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,52 unequal: No Solution
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[28, 43, 49], Operations: ['47+2=49']
Exploring Operation: 49-43=6, Resulting Numbers: [28, 6]
Generated Node #0,2,0: 52:[28, 6] Operation: 49-43=6
Exploring Operation: 49-28=21, Resulting Numbers: [43, 21]
Generated Node #0,2,1: 52:[43, 21] Operation: 49-28=21
Exploring Operation: 43-28=15, Resulting Numbers: [49, 15]
Generated Node #0,2,2: 52:[49, 15] Operation: 43-28=15
Moving to Node #0,2,0
Current State: 52:[28, 6], Operations: ['47+2=49', '49-43=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 28-6=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 28*6=168, Resulting Numbers: [168]
168,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[49, 15], Operations: ['47+2=49', '43-28=15']
Exploring Operation: 49+15=64, Resulting Numbers: [64]
64,52 unequal: No Solution
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,52 unequal: No Solution
Exploring Operation: 49*15=735, Resulting Numbers: [735]
735,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[43, 21], Operations: ['47+2=49', '49-28=21']
Exploring Operation: 43*21=903, Resulting Numbers: [903]
903,52 unequal: No Solution
Exploring Operation: 43-21=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 43+21=64, Resulting Numbers: [64]
64,52 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 |
[
88,
65,
14,
97
] | 61 | [
"97-88=9",
"14*9=126",
"126-65=61"
] | Current State: 61:[88, 65, 14, 97], Operations: []
Exploring Operation: 97-88=9, Resulting Numbers: [65, 14, 9]
Generated Node #2: [65, 14, 9] from Operation: 97-88=9
Current State: 61:[65, 14, 9], Operations: ['97-88=9']
Exploring Operation: 14*9=126, Resulting Numbers: [65, 126]
Generated Node #3: [65, 126] from Operation: 14*9=126
Current State: 61:[65, 126], Operations: ['97-88=9', '14*9=126']
Exploring Operation: 126-65=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[88, 65, 14, 97], Operations: []
Exploring Operation: 97-14=83, Resulting Numbers: [88, 65, 83]
Generated Node #0,0: 61:[88, 65, 83] Operation: 97-14=83
Exploring Operation: 88-14=74, Resulting Numbers: [65, 97, 74]
Generated Node #0,1: 61:[65, 97, 74] Operation: 88-14=74
Start Sub Search at level 1: Moving to Node #0,0
Current State: 61:[88, 65, 83], Operations: ['97-14=83']
Exploring Operation: 88-83=5, Resulting Numbers: [65, 5]
Generated Node #0,0,0: 61:[65, 5] Operation: 88-83=5
Exploring Operation: 88-65=23, Resulting Numbers: [83, 23]
Generated Node #0,0,1: 61:[83, 23] Operation: 88-65=23
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 61:[65, 5], Operations: ['97-14=83', '88-83=5']
Exploring Operation: 65+5=70, Resulting Numbers: [70]
70,61 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 61:[83, 23], Operations: ['97-14=83', '88-65=23']
Exploring Operation: 83+23=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,61 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 61:[65, 97, 74], Operations: ['88-14=74']
Exploring Operation: 97-65=32, Resulting Numbers: [74, 32]
Generated Node #0,1,0: 61:[74, 32] Operation: 97-65=32
Exploring Operation: 97-74=23, Resulting Numbers: [65, 23]
Generated Node #0,1,1: 61:[65, 23] Operation: 97-74=23
Moving to Node #0,1,0
Current State: 61:[74, 32], Operations: ['88-14=74', '97-65=32']
Exploring Operation: 74-32=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 74+32=106, Resulting Numbers: [106]
106,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[65, 23], Operations: ['88-14=74', '97-74=23']
Exploring Operation: 65-23=42, Resulting Numbers: [42]
42,61 unequal: No Solution
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,61 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 |
[
67,
70,
2,
43
] | 42 | [
"70-67=3",
"2+43=45",
"45-3=42"
] | Current State: 42:[67, 70, 2, 43], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [2, 43, 3]
Generated Node #2: [2, 43, 3] from Operation: 70-67=3
Current State: 42:[2, 43, 3], Operations: ['70-67=3']
Exploring Operation: 2+43=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 2+43=45
Current State: 42:[3, 45], Operations: ['70-67=3', '2+43=45']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[67, 70, 2, 43], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [2, 43, 3]
Generated Node #0,0: 42:[2, 43, 3] Operation: 70-67=3
Moving to Node #0,0
Current State: 42:[2, 43, 3], Operations: ['70-67=3']
Exploring Operation: 43-2=41, Resulting Numbers: [3, 41]
Generated Node #0,0,0: 42:[3, 41] Operation: 43-2=41
Moving to Node #0,0,0
Current State: 42:[3, 41], Operations: ['70-67=3', '43-2=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,42 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
83,
57,
46,
89
] | 69 | [
"83-57=26",
"89-46=43",
"26+43=69"
] | Current State: 69:[83, 57, 46, 89], Operations: []
Exploring Operation: 83-57=26, Resulting Numbers: [46, 89, 26]
Generated Node #2: [46, 89, 26] from Operation: 83-57=26
Current State: 69:[46, 89, 26], Operations: ['83-57=26']
Exploring Operation: 89-46=43, Resulting Numbers: [26, 43]
Generated Node #3: [26, 43] from Operation: 89-46=43
Current State: 69:[26, 43], Operations: ['83-57=26', '89-46=43']
Exploring Operation: 26+43=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[83, 57, 46, 89], Operations: []
Exploring Operation: 57-46=11, Resulting Numbers: [83, 89, 11]
Generated Node #0,0: 69:[83, 89, 11] Operation: 57-46=11
Exploring Operation: 83-57=26, Resulting Numbers: [46, 89, 26]
Generated Node #0,1: 69:[46, 89, 26] Operation: 83-57=26
Exploring Operation: 83-46=37, Resulting Numbers: [57, 89, 37]
Generated Node #0,2: 69:[57, 89, 37] Operation: 83-46=37
Exploring Operation: 89-83=6, Resulting Numbers: [57, 46, 6]
Generated Node #0,3: 69:[57, 46, 6] Operation: 89-83=6
Moving to Node #0,3
Current State: 69:[57, 46, 6], Operations: ['89-83=6']
Exploring Operation: 46+6=52, Resulting Numbers: [57, 52]
Generated Node #0,3,0: 69:[57, 52] Operation: 46+6=52
Exploring Operation: 46-6=40, Resulting Numbers: [57, 40]
Generated Node #0,3,1: 69:[57, 40] Operation: 46-6=40
Exploring Operation: 57+6=63, Resulting Numbers: [46, 63]
Generated Node #0,3,2: 69:[46, 63] Operation: 57+6=63
Exploring Operation: 57-46=11, Resulting Numbers: [6, 11]
Generated Node #0,3,3: 69:[6, 11] Operation: 57-46=11
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 69:[6, 11], Operations: ['89-83=6', '57-46=11']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 69:[57, 52], Operations: ['89-83=6', '46+6=52']
Exploring Operation: 57-52=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 57*52=2964, Resulting Numbers: [2964]
2964,69 unequal: No Solution
Exploring Operation: 57+52=109, Resulting Numbers: [109]
109,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 69:[57, 40], Operations: ['89-83=6', '46-6=40']
Exploring Operation: 57*40=2280, Resulting Numbers: [2280]
2280,69 unequal: No Solution
Exploring Operation: 57-40=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 57+40=97, Resulting Numbers: [97]
97,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 69:[46, 63], Operations: ['89-83=6', '57+6=63']
Exploring Operation: 63-46=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 46+63=109, Resulting Numbers: [109]
109,69 unequal: No Solution
Exploring Operation: 46*63=2898, Resulting Numbers: [2898]
2898,69 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: 69:[83, 89, 11], Operations: ['57-46=11']
Exploring Operation: 83-11=72, Resulting Numbers: [89, 72]
Generated Node #0,0,0: 69:[89, 72] Operation: 83-11=72
Exploring Operation: 83+11=94, Resulting Numbers: [89, 94]
Generated Node #0,0,1: 69:[89, 94] Operation: 83+11=94
Exploring Operation: 89-11=78, Resulting Numbers: [83, 78]
Generated Node #0,0,2: 69:[83, 78] Operation: 89-11=78
Exploring Operation: 89-83=6, Resulting Numbers: [11, 6]
Generated Node #0,0,3: 69:[11, 6] Operation: 89-83=6
Moving to Node #0,2
Current State: 69:[57, 89, 37], Operations: ['83-46=37']
Exploring Operation: 57-37=20, Resulting Numbers: [89, 20]
Generated Node #0,2,0: 69:[89, 20] Operation: 57-37=20
Exploring Operation: 89-37=52, Resulting Numbers: [57, 52]
Generated Node #0,2,1: 69:[57, 52] Operation: 89-37=52
Exploring Operation: 89-57=32, Resulting Numbers: [37, 32]
Generated Node #0,2,2: 69:[37, 32] Operation: 89-57=32
Exploring Operation: 57+37=94, Resulting Numbers: [89, 94]
Generated Node #0,2,3: 69:[89, 94] Operation: 57+37=94
Moving to Node #0,1
Current State: 69:[46, 89, 26], Operations: ['83-57=26']
Exploring Operation: 89-46=43, Resulting Numbers: [26, 43]
Generated Node #0,1,0: 69:[26, 43] Operation: 89-46=43
Exploring Operation: 46+26=72, Resulting Numbers: [89, 72]
Generated Node #0,1,1: 69:[89, 72] Operation: 46+26=72
Exploring Operation: 46-26=20, Resulting Numbers: [89, 20]
Generated Node #0,1,2: 69:[89, 20] Operation: 46-26=20
Exploring Operation: 89-26=63, Resulting Numbers: [46, 63]
Generated Node #0,1,3: 69:[46, 63] Operation: 89-26=63
Moving to Node #0,0,3
Current State: 69:[11, 6], Operations: ['57-46=11', '89-83=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 11*6=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[83, 78], Operations: ['57-46=11', '89-11=78']
Exploring Operation: 83*78=6474, Resulting Numbers: [6474]
6474,69 unequal: No Solution
Exploring Operation: 83+78=161, Resulting Numbers: [161]
161,69 unequal: No Solution
Exploring Operation: 83-78=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Moving to Node #0,2,2
Current State: 69:[37, 32], Operations: ['83-46=37', '89-57=32']
Exploring Operation: 37*32=1184, Resulting Numbers: [1184]
1184,69 unequal: No Solution
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[83, 57, 46, 89], Operations: []
Exploring Operation: 83-46=37, Resulting Numbers: [57, 89, 37]
Generated Node #0,2: 69:[57, 89, 37] Operation: 83-46=37
Moving to Node #0,2
Current State: 69:[57, 89, 37], Operations: ['83-46=37']
Exploring Operation: 89-57=32, Resulting Numbers: [37, 32]
Generated Node #0,2,2: 69:[37, 32] Operation: 89-57=32
Moving to Node #0,2,2
Current State: 69:[37, 32], Operations: ['83-46=37', '89-57=32']
Exploring Operation: 37+32=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 0.961806 | hs_4 | mult_heuristic |
[
43,
54,
47,
16
] | 66 | [
"43+54=97",
"47-16=31",
"97-31=66"
] | Current State: 66:[43, 54, 47, 16], Operations: []
Exploring Operation: 43+54=97, Resulting Numbers: [47, 16, 97]
Generated Node #2: [47, 16, 97] from Operation: 43+54=97
Current State: 66:[47, 16, 97], Operations: ['43+54=97']
Exploring Operation: 47-16=31, Resulting Numbers: [97, 31]
Generated Node #3: [97, 31] from Operation: 47-16=31
Current State: 66:[97, 31], Operations: ['43+54=97', '47-16=31']
Exploring Operation: 97-31=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[43, 54, 47, 16], Operations: []
Exploring Operation: 54-43=11, Resulting Numbers: [47, 16, 11]
Generated Node #0,0: 66:[47, 16, 11] Operation: 54-43=11
Exploring Operation: 47+16=63, Resulting Numbers: [43, 54, 63]
Generated Node #0,1: 66:[43, 54, 63] Operation: 47+16=63
Exploring Operation: 47-43=4, Resulting Numbers: [54, 16, 4]
Generated Node #0,2: 66:[54, 16, 4] Operation: 47-43=4
Exploring Operation: 47-16=31, Resulting Numbers: [43, 54, 31]
Generated Node #0,3: 66:[43, 54, 31] Operation: 47-16=31
Exploring Operation: 54-47=7, Resulting Numbers: [43, 16, 7]
Generated Node #0,4: 66:[43, 16, 7] Operation: 54-47=7
Moving to Node #0,4
Current State: 66:[43, 16, 7], Operations: ['54-47=7']
Exploring Operation: 16+7=23, Resulting Numbers: [43, 23]
Generated Node #0,4,0: 66:[43, 23] Operation: 16+7=23
Exploring Operation: 43-16=27, Resulting Numbers: [7, 27]
Generated Node #0,4,1: 66:[7, 27] Operation: 43-16=27
Exploring Operation: 43-7=36, Resulting Numbers: [16, 36]
Generated Node #0,4,2: 66:[16, 36] Operation: 43-7=36
Exploring Operation: 16-7=9, Resulting Numbers: [43, 9]
Generated Node #0,4,3: 66:[43, 9] Operation: 16-7=9
Exploring Operation: 43+16=59, Resulting Numbers: [7, 59]
Generated Node #0,4,4: 66:[7, 59] Operation: 43+16=59
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 66:[7, 27], Operations: ['54-47=7', '43-16=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,66 unequal: No Solution
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 66:[16, 36], Operations: ['54-47=7', '43-7=36']
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,66 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,66 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 #0,4,4
Current State: 66:[7, 59], Operations: ['54-47=7', '43+16=59']
Exploring Operation: 7*59=413, Resulting Numbers: [413]
413,66 unequal: No Solution
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,66 unequal: No Solution
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[43, 54, 47, 16], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [43, 16, 7]
Generated Node #0,4: 66:[43, 16, 7] Operation: 54-47=7
Moving to Node #0,4
Current State: 66:[43, 16, 7], Operations: ['54-47=7']
Exploring Operation: 43+16=59, Resulting Numbers: [7, 59]
Generated Node #0,4,4: 66:[7, 59] Operation: 43+16=59
Moving to Node #0,4,4
Current State: 66:[7, 59], Operations: ['54-47=7', '43+16=59']
Exploring Operation: 7+59=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
72,
14,
10,
65
] | 88 | [
"72-65=7",
"14*7=98",
"98-10=88"
] | Current State: 88:[72, 14, 10, 65], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [14, 10, 7]
Generated Node #2: [14, 10, 7] from Operation: 72-65=7
Current State: 88:[14, 10, 7], Operations: ['72-65=7']
Exploring Operation: 14*7=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 14*7=98
Current State: 88:[10, 98], Operations: ['72-65=7', '14*7=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[72, 14, 10, 65], Operations: []
Exploring Operation: 72-65=7, Resulting Numbers: [14, 10, 7]
Generated Node #0,0: 88:[14, 10, 7] Operation: 72-65=7
Exploring Operation: 65-14=51, Resulting Numbers: [72, 10, 51]
Generated Node #0,1: 88:[72, 10, 51] Operation: 65-14=51
Exploring Operation: 14+65=79, Resulting Numbers: [72, 10, 79]
Generated Node #0,2: 88:[72, 10, 79] Operation: 14+65=79
Exploring Operation: 72+14=86, Resulting Numbers: [10, 65, 86]
Generated Node #0,3: 88:[10, 65, 86] Operation: 72+14=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[14, 10, 7], Operations: ['72-65=7']
Exploring Operation: 14/7=2, Resulting Numbers: [10, 2]
Generated Node #0,0,0: 88:[10, 2] Operation: 14/7=2
Exploring Operation: 14+7=21, Resulting Numbers: [10, 21]
Generated Node #0,0,1: 88:[10, 21] Operation: 14+7=21
Exploring Operation: 14-10=4, Resulting Numbers: [7, 4]
Generated Node #0,0,2: 88:[7, 4] Operation: 14-10=4
Exploring Operation: 14-7=7, Resulting Numbers: [10, 7]
Generated Node #0,0,3: 88:[10, 7] Operation: 14-7=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 88:[10, 2], Operations: ['72-65=7', '14/7=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,88 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 88:[7, 4], Operations: ['72-65=7', '14-10=4']
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,88 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 88:[10, 21], Operations: ['72-65=7', '14+7=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 88:[10, 7], Operations: ['72-65=7', '14-7=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 88:[72, 10, 51], Operations: ['65-14=51']
Exploring Operation: 51-10=41, Resulting Numbers: [72, 41]
Generated Node #0,1,0: 88:[72, 41] Operation: 51-10=41
Exploring Operation: 72-51=21, Resulting Numbers: [10, 21]
Generated Node #0,1,1: 88:[10, 21] Operation: 72-51=21
Exploring Operation: 72-10=62, Resulting Numbers: [51, 62]
Generated Node #0,1,2: 88:[51, 62] Operation: 72-10=62
Exploring Operation: 72+10=82, Resulting Numbers: [51, 82]
Generated Node #0,1,3: 88:[51, 82] Operation: 72+10=82
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 88:[10, 21], Operations: ['65-14=51', '72-51=21']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,88 unequal: No Solution
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 88:[51, 82], Operations: ['65-14=51', '72+10=82']
Exploring Operation: 82-51=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 51*82=4182, Resulting Numbers: [4182]
4182,88 unequal: No Solution
Exploring Operation: 51+82=133, Resulting Numbers: [133]
133,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[72, 41], Operations: ['65-14=51', '51-10=41']
Exploring Operation: 72+41=113, Resulting Numbers: [113]
113,88 unequal: No Solution
Exploring Operation: 72-41=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 72*41=2952, Resulting Numbers: [2952]
2952,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 88:[51, 62], Operations: ['65-14=51', '72-10=62']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 51*62=3162, Resulting Numbers: [3162]
3162,88 unequal: No Solution
Exploring Operation: 51+62=113, Resulting Numbers: [113]
113,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[10, 65, 86], Operations: ['72+14=86']
Exploring Operation: 65-10=55, Resulting Numbers: [86, 55]
Generated Node #0,3,0: 88:[86, 55] Operation: 65-10=55
Exploring Operation: 10+65=75, Resulting Numbers: [86, 75]
Generated Node #0,3,1: 88:[86, 75] Operation: 10+65=75
Exploring Operation: 86-65=21, Resulting Numbers: [10, 21]
Generated Node #0,3,2: 88:[10, 21] Operation: 86-65=21
Exploring Operation: 10+86=96, Resulting Numbers: [65, 96]
Generated Node #0,3,3: 88:[65, 96] Operation: 10+86=96
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 88:[10, 21], Operations: ['72+14=86', '86-65=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,88 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 88:[86, 55], Operations: ['72+14=86', '65-10=55']
Exploring Operation: 86*55=4730, Resulting Numbers: [4730]
4730,88 unequal: No Solution
Exploring Operation: 86+55=141, Resulting Numbers: [141]
141,88 unequal: No Solution
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 88:[86, 75], Operations: ['72+14=86', '10+65=75']
Exploring Operation: 86+75=161, Resulting Numbers: [161]
161,88 unequal: No Solution
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 86*75=6450, Resulting Numbers: [6450]
6450,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 88:[65, 96], Operations: ['72+14=86', '10+86=96']
Exploring Operation: 65*96=6240, Resulting Numbers: [6240]
6240,88 unequal: No Solution
Exploring Operation: 96-65=31, Resulting Numbers: [31]
31,88 unequal: No Solution
Exploring Operation: 65+96=161, Resulting Numbers: [161]
161,88 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[72, 10, 79], Operations: ['14+65=79']
Exploring Operation: 10+79=89, Resulting Numbers: [72, 89]
Generated Node #0,2,0: 88:[72, 89] Operation: 10+79=89
Exploring Operation: 79-72=7, Resulting Numbers: [10, 7]
Generated Node #0,2,1: 88:[10, 7] Operation: 79-72=7
Exploring Operation: 72+10=82, Resulting Numbers: [79, 82]
Generated Node #0,2,2: 88:[79, 82] Operation: 72+10=82
Exploring Operation: 72-10=62, Resulting Numbers: [79, 62]
Generated Node #0,2,3: 88:[79, 62] Operation: 72-10=62
Moving to Node #0,2,1
Current State: 88:[10, 7], Operations: ['14+65=79', '79-72=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,88 unequal: No Solution
Moving to Node #0,2,2
Current State: 88:[79, 82], Operations: ['14+65=79', '72+10=82']
Exploring Operation: 79*82=6478, Resulting Numbers: [6478]
6478,88 unequal: No Solution
Exploring Operation: 82-79=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 79+82=161, Resulting Numbers: [161]
161,88 unequal: No Solution
Moving to Node #0,2,0
Current State: 88:[72, 89], Operations: ['14+65=79', '10+79=89']
Exploring Operation: 72*89=6408, Resulting Numbers: [6408]
6408,88 unequal: No Solution
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 72+89=161, Resulting Numbers: [161]
161,88 unequal: No Solution
Moving to Node #0,2,3
Current State: 88:[79, 62], Operations: ['14+65=79', '72-10=62']
Exploring Operation: 79-62=17, Resulting Numbers: [17]
17,88 unequal: No Solution
Exploring Operation: 79+62=141, Resulting Numbers: [141]
141,88 unequal: No Solution
Exploring Operation: 79*62=4898, Resulting Numbers: [4898]
4898,88 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 |
[
72,
93,
42,
18
] | 39 | [
"93-72=21",
"42+18=60",
"60-21=39"
] | Current State: 39:[72, 93, 42, 18], Operations: []
Exploring Operation: 93-72=21, Resulting Numbers: [42, 18, 21]
Generated Node #2: [42, 18, 21] from Operation: 93-72=21
Current State: 39:[42, 18, 21], Operations: ['93-72=21']
Exploring Operation: 42+18=60, Resulting Numbers: [21, 60]
Generated Node #3: [21, 60] from Operation: 42+18=60
Current State: 39:[21, 60], Operations: ['93-72=21', '42+18=60']
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[72, 93, 42, 18], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [72, 18, 51]
Generated Node #0,0: 39:[72, 18, 51] Operation: 93-42=51
Exploring Operation: 72-18=54, Resulting Numbers: [93, 42, 54]
Generated Node #0,1: 39:[93, 42, 54] Operation: 72-18=54
Exploring Operation: 72/18=4, Resulting Numbers: [93, 42, 4]
Generated Node #0,2: 39:[93, 42, 4] Operation: 72/18=4
Exploring Operation: 72-42=30, Resulting Numbers: [93, 18, 30]
Generated Node #0,3: 39:[93, 18, 30] Operation: 72-42=30
Exploring Operation: 93-72=21, Resulting Numbers: [42, 18, 21]
Generated Node #0,4: 39:[42, 18, 21] Operation: 93-72=21
Moving to Node #0,4
Current State: 39:[42, 18, 21], Operations: ['93-72=21']
Exploring Operation: 42-18=24, Resulting Numbers: [21, 24]
Generated Node #0,4,0: 39:[21, 24] Operation: 42-18=24
Exploring Operation: 42-21=21, Resulting Numbers: [18, 21]
Generated Node #0,4,1: 39:[18, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [18, 2]
Generated Node #0,4,2: 39:[18, 2] Operation: 42/21=2
Exploring Operation: 21-18=3, Resulting Numbers: [42, 3]
Generated Node #0,4,3: 39:[42, 3] Operation: 21-18=3
Exploring Operation: 18+21=39, Resulting Numbers: [42, 39]
Generated Node #0,4,4: 39:[42, 39] Operation: 18+21=39
Moving to Node #0,0
Current State: 39:[72, 18, 51], Operations: ['93-42=51']
Exploring Operation: 51-18=33, Resulting Numbers: [72, 33]
Generated Node #0,0,0: 39:[72, 33] Operation: 51-18=33
Exploring Operation: 72/18=4, Resulting Numbers: [51, 4]
Generated Node #0,0,1: 39:[51, 4] Operation: 72/18=4
Exploring Operation: 72-51=21, Resulting Numbers: [18, 21]
Generated Node #0,0,2: 39:[18, 21] Operation: 72-51=21
Exploring Operation: 72-18=54, Resulting Numbers: [51, 54]
Generated Node #0,0,3: 39:[51, 54] Operation: 72-18=54
Exploring Operation: 72+18=90, Resulting Numbers: [51, 90]
Generated Node #0,0,4: 39:[51, 90] Operation: 72+18=90
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[51, 4], Operations: ['93-42=51', '72/18=4']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,39 unequal: No Solution
Exploring Operation: 51*4=204, Resulting Numbers: [204]
204,39 unequal: No Solution
Exploring Operation: 51+4=55, Resulting Numbers: [55]
55,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 39:[18, 21], Operations: ['93-42=51', '72-51=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Moving to Node #0
Current State: 39:[72, 93, 42, 18], Operations: []
Exploring Operation: 93-42=51, Resulting Numbers: [72, 18, 51]
Generated Node #0,0: 39:[72, 18, 51] Operation: 93-42=51
Moving to Node #0,0
Current State: 39:[72, 18, 51], Operations: ['93-42=51']
Exploring Operation: 72-51=21, Resulting Numbers: [18, 21]
Generated Node #0,0,2: 39:[18, 21] Operation: 72-51=21
Moving to Node #0,0,2
Current State: 39:[18, 21], Operations: ['93-42=51', '72-51=21']
Exploring Operation: 18+21=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
28,
83,
66,
32
] | 89 | [
"83-28=55",
"66-32=34",
"55+34=89"
] | Current State: 89:[28, 83, 66, 32], Operations: []
Exploring Operation: 83-28=55, Resulting Numbers: [66, 32, 55]
Generated Node #2: [66, 32, 55] from Operation: 83-28=55
Current State: 89:[66, 32, 55], Operations: ['83-28=55']
Exploring Operation: 66-32=34, Resulting Numbers: [55, 34]
Generated Node #3: [55, 34] from Operation: 66-32=34
Current State: 89:[55, 34], Operations: ['83-28=55', '66-32=34']
Exploring Operation: 55+34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[28, 83, 66, 32], Operations: []
Exploring Operation: 28+32=60, Resulting Numbers: [83, 66, 60]
Generated Node #0,0: 89:[83, 66, 60] Operation: 28+32=60
Moving to Node #0,0
Current State: 89:[83, 66, 60], Operations: ['28+32=60']
Exploring Operation: 66+60=126, Resulting Numbers: [83, 126]
Generated Node #0,0,0: 89:[83, 126] Operation: 66+60=126
Moving to Node #0,0,0
Current State: 89:[83, 126], Operations: ['28+32=60', '66+60=126']
Exploring Operation: 126-83=43, Resulting Numbers: [43]
43,89 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
22,
91,
88,
16
] | 95 | [
"88/22=4",
"16/4=4",
"91+4=95"
] | Current State: 95:[22, 91, 88, 16], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [91, 16, 4]
Generated Node #2: [91, 16, 4] from Operation: 88/22=4
Current State: 95:[91, 16, 4], Operations: ['88/22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [91, 4]
Generated Node #3: [91, 4] from Operation: 16/4=4
Current State: 95:[91, 4], Operations: ['88/22=4', '16/4=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[22, 91, 88, 16], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [91, 16, 4]
Generated Node #0,0: 95:[91, 16, 4] Operation: 88/22=4
Exploring Operation: 91-88=3, Resulting Numbers: [22, 16, 3]
Generated Node #0,1: 95:[22, 16, 3] Operation: 91-88=3
Exploring Operation: 22-16=6, Resulting Numbers: [91, 88, 6]
Generated Node #0,2: 95:[91, 88, 6] Operation: 22-16=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[91, 16, 4], Operations: ['88/22=4']
Exploring Operation: 16+4=20, Resulting Numbers: [91, 20]
Generated Node #0,0,0: 95:[91, 20] Operation: 16+4=20
Exploring Operation: 16/4=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 95:[91, 4] Operation: 16/4=4
Exploring Operation: 91+4=95, Resulting Numbers: [16, 95]
Generated Node #0,0,2: 95:[16, 95] Operation: 91+4=95
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[16, 95], Operations: ['88/22=4', '91+4=95']
Exploring Operation: 95-16=79, Resulting Numbers: [79]
79,95 unequal: No Solution
Exploring Operation: 16*95=1520, Resulting Numbers: [1520]
1520,95 unequal: No Solution
Exploring Operation: 16+95=111, Resulting Numbers: [111]
111,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[91, 20], Operations: ['88/22=4', '16+4=20']
Exploring Operation: 91*20=1820, Resulting Numbers: [1820]
1820,95 unequal: No Solution
Exploring Operation: 91+20=111, Resulting Numbers: [111]
111,95 unequal: No Solution
Exploring Operation: 91-20=71, Resulting Numbers: [71]
71,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[91, 4], Operations: ['88/22=4', '16/4=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[22, 91, 88, 16], Operations: []
Exploring Operation: 88/22=4, Resulting Numbers: [91, 16, 4]
Generated Node #0,0: 95:[91, 16, 4] Operation: 88/22=4
Moving to Node #0,0
Current State: 95:[91, 16, 4], Operations: ['88/22=4']
Exploring Operation: 16/4=4, Resulting Numbers: [91, 4]
Generated Node #0,0,1: 95:[91, 4] Operation: 16/4=4
Moving to Node #0,0,1
Current State: 95:[91, 4], Operations: ['88/22=4', '16/4=4']
Exploring Operation: 91+4=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
51,
94,
12,
65
] | 74 | [
"65-51=14",
"12*14=168",
"168-94=74"
] | Current State: 74:[51, 94, 12, 65], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [94, 12, 14]
Generated Node #2: [94, 12, 14] from Operation: 65-51=14
Current State: 74:[94, 12, 14], Operations: ['65-51=14']
Exploring Operation: 12*14=168, Resulting Numbers: [94, 168]
Generated Node #3: [94, 168] from Operation: 12*14=168
Current State: 74:[94, 168], Operations: ['65-51=14', '12*14=168']
Exploring Operation: 168-94=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[51, 94, 12, 65], Operations: []
Exploring Operation: 94-51=43, Resulting Numbers: [12, 65, 43]
Generated Node #0,0: 74:[12, 65, 43] Operation: 94-51=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[12, 65, 43], Operations: ['94-51=43']
Exploring Operation: 12+65=77, Resulting Numbers: [43, 77]
Generated Node #0,0,0: 74:[43, 77] Operation: 12+65=77
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[43, 77], Operations: ['94-51=43', '12+65=77']
Exploring Operation: 77-43=34, Resulting Numbers: [34]
34,74 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
42,
60,
70,
41
] | 77 | [
"42*60=2520",
"2520/70=36",
"41+36=77"
] | Current State: 77:[42, 60, 70, 41], Operations: []
Exploring Operation: 42*60=2520, Resulting Numbers: [70, 41, 2520]
Generated Node #2: [70, 41, 2520] from Operation: 42*60=2520
Current State: 77:[70, 41, 2520], Operations: ['42*60=2520']
Exploring Operation: 2520/70=36, Resulting Numbers: [41, 36]
Generated Node #3: [41, 36] from Operation: 2520/70=36
Current State: 77:[41, 36], Operations: ['42*60=2520', '2520/70=36']
Exploring Operation: 41+36=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[42, 60, 70, 41], Operations: []
Exploring Operation: 42+41=83, Resulting Numbers: [60, 70, 83]
Generated Node #0,0: 77:[60, 70, 83] Operation: 42+41=83
Exploring Operation: 42-41=1, Resulting Numbers: [60, 70, 1]
Generated Node #0,1: 77:[60, 70, 1] Operation: 42-41=1
Exploring Operation: 60-42=18, Resulting Numbers: [70, 41, 18]
Generated Node #0,2: 77:[70, 41, 18] Operation: 60-42=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[60, 70, 83], Operations: ['42+41=83']
Exploring Operation: 83-70=13, Resulting Numbers: [60, 13]
Generated Node #0,0,0: 77:[60, 13] Operation: 83-70=13
Exploring Operation: 70-60=10, Resulting Numbers: [83, 10]
Generated Node #0,0,1: 77:[83, 10] Operation: 70-60=10
Exploring Operation: 83-60=23, Resulting Numbers: [70, 23]
Generated Node #0,0,2: 77:[70, 23] Operation: 83-60=23
Moving to Node #0,0,1
Current State: 77:[83, 10], Operations: ['42+41=83', '70-60=10']
Exploring Operation: 83*10=830, Resulting Numbers: [830]
830,77 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 83+10=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Moving to Node #0,0,0
Current State: 77:[60, 13], Operations: ['42+41=83', '83-70=13']
Exploring Operation: 60+13=73, Resulting Numbers: [73]
73,77 unequal: No Solution
Exploring Operation: 60*13=780, Resulting Numbers: [780]
780,77 unequal: No Solution
Exploring Operation: 60-13=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Moving to Node #0,0,2
Current State: 77:[70, 23], Operations: ['42+41=83', '83-60=23']
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,77 unequal: No Solution
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,77 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 77:[60, 70, 1], Operations: ['42-41=1']
Exploring Operation: 70-60=10, Resulting Numbers: [1, 10]
Generated Node #0,1,0: 77:[1, 10] Operation: 70-60=10
Exploring Operation: 70+1=71, Resulting Numbers: [60, 71]
Generated Node #0,1,1: 77:[60, 71] Operation: 70+1=71
Exploring Operation: 60+1=61, Resulting Numbers: [70, 61]
Generated Node #0,1,2: 77:[70, 61] Operation: 60+1=61
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 77:[1, 10], Operations: ['42-41=1', '70-60=10']
Exploring Operation: 10/1=10, Resulting Numbers: [10]
10,77 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 77:[60, 71], Operations: ['42-41=1', '70+1=71']
Exploring Operation: 60*71=4260, Resulting Numbers: [4260]
4260,77 unequal: No Solution
Exploring Operation: 60+71=131, Resulting Numbers: [131]
131,77 unequal: No Solution
Exploring Operation: 71-60=11, Resulting Numbers: [11]
11,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 77:[70, 61], Operations: ['42-41=1', '60+1=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,77 unequal: No Solution
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,77 unequal: No Solution
Exploring Operation: 70*61=4270, Resulting Numbers: [4270]
4270,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 77:[70, 41, 18], Operations: ['60-42=18']
Exploring Operation: 70-41=29, Resulting Numbers: [18, 29]
Generated Node #0,2,0: 77:[18, 29] Operation: 70-41=29
Exploring Operation: 41+18=59, Resulting Numbers: [70, 59]
Generated Node #0,2,1: 77:[70, 59] Operation: 41+18=59
Exploring Operation: 41-18=23, Resulting Numbers: [70, 23]
Generated Node #0,2,2: 77:[70, 23] Operation: 41-18=23
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 77:[70, 23], Operations: ['60-42=18', '41-18=23']
Exploring Operation: 70-23=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 70+23=93, Resulting Numbers: [93]
93,77 unequal: No Solution
Exploring Operation: 70*23=1610, Resulting Numbers: [1610]
1610,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 77:[18, 29], Operations: ['60-42=18', '70-41=29']
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,77 unequal: No Solution
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 77:[70, 59], Operations: ['60-42=18', '41+18=59']
Exploring Operation: 70*59=4130, Resulting Numbers: [4130]
4130,77 unequal: No Solution
Exploring Operation: 70-59=11, Resulting Numbers: [11]
11,77 unequal: No Solution
Exploring Operation: 70+59=129, Resulting Numbers: [129]
129,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
14,
10,
46,
74
] | 40 | [
"74-14=60",
"60/10=6",
"46-6=40"
] | Current State: 40:[14, 10, 46, 74], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [10, 46, 60]
Generated Node #2: [10, 46, 60] from Operation: 74-14=60
Current State: 40:[10, 46, 60], Operations: ['74-14=60']
Exploring Operation: 60/10=6, Resulting Numbers: [46, 6]
Generated Node #3: [46, 6] from Operation: 60/10=6
Current State: 40:[46, 6], Operations: ['74-14=60', '60/10=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[14, 10, 46, 74], Operations: []
Exploring Operation: 74-10=64, Resulting Numbers: [14, 46, 64]
Generated Node #0,0: 40:[14, 46, 64] Operation: 74-10=64
Exploring Operation: 14-10=4, Resulting Numbers: [46, 74, 4]
Generated Node #0,1: 40:[46, 74, 4] Operation: 14-10=4
Exploring Operation: 74-14=60, Resulting Numbers: [10, 46, 60]
Generated Node #0,2: 40:[10, 46, 60] Operation: 74-14=60
Exploring Operation: 74-46=28, Resulting Numbers: [14, 10, 28]
Generated Node #0,3: 40:[14, 10, 28] Operation: 74-46=28
Start Sub Search at level 1: Moving to Node #0,3
Current State: 40:[14, 10, 28], Operations: ['74-46=28']
Exploring Operation: 28/14=2, Resulting Numbers: [10, 2]
Generated Node #0,3,0: 40:[10, 2] Operation: 28/14=2
Exploring Operation: 14+28=42, Resulting Numbers: [10, 42]
Generated Node #0,3,1: 40:[10, 42] Operation: 14+28=42
Exploring Operation: 10+28=38, Resulting Numbers: [14, 38]
Generated Node #0,3,2: 40:[14, 38] Operation: 10+28=38
Exploring Operation: 28-14=14, Resulting Numbers: [10, 14]
Generated Node #0,3,3: 40:[10, 14] Operation: 28-14=14
Moving to Node #0,3,0
Current State: 40:[10, 2], Operations: ['74-46=28', '28/14=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,40 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,40 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,40 unequal: No Solution
Moving to Node #0,3,1
Current State: 40:[10, 42], Operations: ['74-46=28', '14+28=42']
Exploring Operation: 10*42=420, Resulting Numbers: [420]
420,40 unequal: No Solution
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 42-10=32, Resulting Numbers: [32]
32,40 unequal: No Solution
Moving to Node #0,3,3
Current State: 40:[10, 14], Operations: ['74-46=28', '28-14=14']
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,40 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Moving to Node #0,3,2
Current State: 40:[14, 38], Operations: ['74-46=28', '10+28=38']
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 14+38=52, Resulting Numbers: [52]
52,40 unequal: No Solution
Exploring Operation: 14*38=532, Resulting Numbers: [532]
532,40 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 #0,2
Current State: 40:[10, 46, 60], Operations: ['74-14=60']
Exploring Operation: 46-10=36, Resulting Numbers: [60, 36]
Generated Node #0,2,0: 40:[60, 36] Operation: 46-10=36
Exploring Operation: 60-10=50, Resulting Numbers: [46, 50]
Generated Node #0,2,1: 40:[46, 50] Operation: 60-10=50
Exploring Operation: 60/10=6, Resulting Numbers: [46, 6]
Generated Node #0,2,2: 40:[46, 6] Operation: 60/10=6
Exploring Operation: 60-46=14, Resulting Numbers: [10, 14]
Generated Node #0,2,3: 40:[10, 14] Operation: 60-46=14
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 40:[10, 14], Operations: ['74-14=60', '60-46=14']
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,40 unequal: No Solution
Exploring Operation: 10+14=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 10*14=140, Resulting Numbers: [140]
140,40 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 #0,2,2
Current State: 40:[46, 6], Operations: ['74-14=60', '60/10=6']
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,40 unequal: No Solution
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[14, 10, 46, 74], Operations: []
Exploring Operation: 74-14=60, Resulting Numbers: [10, 46, 60]
Generated Node #0,2: 40:[10, 46, 60] Operation: 74-14=60
Moving to Node #0,2
Current State: 40:[10, 46, 60], Operations: ['74-14=60']
Exploring Operation: 60/10=6, Resulting Numbers: [46, 6]
Generated Node #0,2,2: 40:[46, 6] Operation: 60/10=6
Moving to Node #0,2,2
Current State: 40:[46, 6], Operations: ['74-14=60', '60/10=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
[
21,
70,
50,
79
] | 94 | [
"21*50=1050",
"1050/70=15",
"79+15=94"
] | Current State: 94:[21, 70, 50, 79], Operations: []
Exploring Operation: 21*50=1050, Resulting Numbers: [70, 79, 1050]
Generated Node #2: [70, 79, 1050] from Operation: 21*50=1050
Current State: 94:[70, 79, 1050], Operations: ['21*50=1050']
Exploring Operation: 1050/70=15, Resulting Numbers: [79, 15]
Generated Node #3: [79, 15] from Operation: 1050/70=15
Current State: 94:[79, 15], Operations: ['21*50=1050', '1050/70=15']
Exploring Operation: 79+15=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[21, 70, 50, 79], Operations: []
Exploring Operation: 21+70=91, Resulting Numbers: [50, 79, 91]
Generated Node #0,0: 94:[50, 79, 91] Operation: 21+70=91
Exploring Operation: 70-21=49, Resulting Numbers: [50, 79, 49]
Generated Node #0,1: 94:[50, 79, 49] Operation: 70-21=49
Exploring Operation: 79-70=9, Resulting Numbers: [21, 50, 9]
Generated Node #0,2: 94:[21, 50, 9] Operation: 79-70=9
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[50, 79, 49], Operations: ['70-21=49']
Exploring Operation: 50-49=1, Resulting Numbers: [79, 1]
Generated Node #0,1,0: 94:[79, 1] Operation: 50-49=1
Exploring Operation: 79-50=29, Resulting Numbers: [49, 29]
Generated Node #0,1,1: 94:[49, 29] Operation: 79-50=29
Exploring Operation: 50+49=99, Resulting Numbers: [79, 99]
Generated Node #0,1,2: 94:[79, 99] Operation: 50+49=99
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 94:[79, 1], Operations: ['70-21=49', '50-49=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 79/1=79, Resulting Numbers: [79]
79,94 unequal: No Solution
Exploring Operation: 79+1=80, Resulting Numbers: [80]
80,94 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 #0,1,1
Current State: 94:[49, 29], Operations: ['70-21=49', '79-50=29']
Exploring Operation: 49+29=78, Resulting Numbers: [78]
78,94 unequal: No Solution
Exploring Operation: 49*29=1421, Resulting Numbers: [1421]
1421,94 unequal: No Solution
Exploring Operation: 49-29=20, Resulting Numbers: [20]
20,94 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 #0,1,2
Current State: 94:[79, 99], Operations: ['70-21=49', '50+49=99']
Exploring Operation: 99-79=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 79+99=178, Resulting Numbers: [178]
178,94 unequal: No Solution
Exploring Operation: 79*99=7821, Resulting Numbers: [7821]
7821,94 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 #0,0
Current State: 94:[50, 79, 91], Operations: ['21+70=91']
Exploring Operation: 91-50=41, Resulting Numbers: [79, 41]
Generated Node #0,0,0: 94:[79, 41] Operation: 91-50=41
Exploring Operation: 79-50=29, Resulting Numbers: [91, 29]
Generated Node #0,0,1: 94:[91, 29] Operation: 79-50=29
Exploring Operation: 91-79=12, Resulting Numbers: [50, 12]
Generated Node #0,0,2: 94:[50, 12] Operation: 91-79=12
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 94:[50, 12], Operations: ['21+70=91', '91-79=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,94 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,94 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:[79, 41], Operations: ['21+70=91', '91-50=41']
Exploring Operation: 79*41=3239, Resulting Numbers: [3239]
3239,94 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 79+41=120, Resulting Numbers: [120]
120,94 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:[91, 29], Operations: ['21+70=91', '79-50=29']
Exploring Operation: 91+29=120, Resulting Numbers: [120]
120,94 unequal: No Solution
Exploring Operation: 91*29=2639, Resulting Numbers: [2639]
2639,94 unequal: No Solution
Exploring Operation: 91-29=62, Resulting Numbers: [62]
62,94 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 #0,2
Current State: 94:[21, 50, 9], Operations: ['79-70=9']
Exploring Operation: 50-21=29, Resulting Numbers: [9, 29]
Generated Node #0,2,0: 94:[9, 29] Operation: 50-21=29
Exploring Operation: 21-9=12, Resulting Numbers: [50, 12]
Generated Node #0,2,1: 94:[50, 12] Operation: 21-9=12
Exploring Operation: 21+9=30, Resulting Numbers: [50, 30]
Generated Node #0,2,2: 94:[50, 30] Operation: 21+9=30
Moving to Node #0,2,1
Current State: 94:[50, 12], Operations: ['79-70=9', '21-9=12']
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,94 unequal: No Solution
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,94 unequal: No Solution
Moving to Node #0,2,2
Current State: 94:[50, 30], Operations: ['79-70=9', '21+9=30']
Exploring Operation: 50-30=20, Resulting Numbers: [20]
20,94 unequal: No Solution
Exploring Operation: 50*30=1500, Resulting Numbers: [1500]
1500,94 unequal: No Solution
Exploring Operation: 50+30=80, Resulting Numbers: [80]
80,94 unequal: No Solution
Moving to Node #0,2,0
Current State: 94:[9, 29], Operations: ['79-70=9', '50-21=29']
Exploring Operation: 9*29=261, Resulting Numbers: [261]
261,94 unequal: No Solution
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,94 unequal: No Solution
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,94 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 |
[
10,
77,
87,
71
] | 70 | [
"10+77=87",
"87/87=1",
"71-1=70"
] | Current State: 70:[10, 77, 87, 71], Operations: []
Exploring Operation: 10+77=87, Resulting Numbers: [87, 71, 87]
Generated Node #2: [87, 71, 87] from Operation: 10+77=87
Current State: 70:[87, 71, 87], Operations: ['10+77=87']
Exploring Operation: 87/87=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 87/87=1
Current State: 70:[71, 1], Operations: ['10+77=87', '87/87=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[10, 77, 87, 71], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [10, 71, 10]
Generated Node #0,0: 70:[10, 71, 10] Operation: 87-77=10
Exploring Operation: 87-71=16, Resulting Numbers: [10, 77, 16]
Generated Node #0,1: 70:[10, 77, 16] Operation: 87-71=16
Exploring Operation: 77-71=6, Resulting Numbers: [10, 87, 6]
Generated Node #0,2: 70:[10, 87, 6] Operation: 77-71=6
Exploring Operation: 87-10=77, Resulting Numbers: [77, 71, 77]
Generated Node #0,3: 70:[77, 71, 77] Operation: 87-10=77
Moving to Node #0,0
Current State: 70:[10, 71, 10], Operations: ['87-77=10']
Exploring Operation: 10/10=1, Resulting Numbers: [71, 1]
Generated Node #0,0,0: 70:[71, 1] Operation: 10/10=1
Exploring Operation: 10-10=0, Resulting Numbers: [71, 0]
Generated Node #0,0,1: 70:[71, 0] Operation: 10-10=0
Exploring Operation: 10+10=20, Resulting Numbers: [71, 20]
Generated Node #0,0,2: 70:[71, 20] Operation: 10+10=20
Exploring Operation: 71-10=61, Resulting Numbers: [10, 61]
Generated Node #0,0,3: 70:[10, 61] Operation: 71-10=61
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[71, 1], Operations: ['87-77=10', '10/10=1']
Exploring Operation: 71+1=72, Resulting Numbers: [72]
72,70 unequal: No Solution
Exploring Operation: 71/1=71, Resulting Numbers: [71]
71,70 unequal: No Solution
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[10, 77, 87, 71], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [10, 71, 10]
Generated Node #0,0: 70:[10, 71, 10] Operation: 87-77=10
Moving to Node #0,0
Current State: 70:[10, 71, 10], Operations: ['87-77=10']
Exploring Operation: 10/10=1, Resulting Numbers: [71, 1]
Generated Node #0,0,0: 70:[71, 1] Operation: 10/10=1
Moving to Node #0,0,0
Current State: 70:[71, 1], Operations: ['87-77=10', '10/10=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
7,
86,
40,
63
] | 81 | [
"86+40=126",
"126/7=18",
"63+18=81"
] | Current State: 81:[7, 86, 40, 63], Operations: []
Exploring Operation: 86+40=126, Resulting Numbers: [7, 63, 126]
Generated Node #2: [7, 63, 126] from Operation: 86+40=126
Current State: 81:[7, 63, 126], Operations: ['86+40=126']
Exploring Operation: 126/7=18, Resulting Numbers: [63, 18]
Generated Node #3: [63, 18] from Operation: 126/7=18
Current State: 81:[63, 18], Operations: ['86+40=126', '126/7=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[7, 86, 40, 63], Operations: []
Exploring Operation: 63-40=23, Resulting Numbers: [7, 86, 23]
Generated Node #0,0: 81:[7, 86, 23] Operation: 63-40=23
Exploring Operation: 63/7=9, Resulting Numbers: [86, 40, 9]
Generated Node #0,1: 81:[86, 40, 9] Operation: 63/7=9
Moving to Node #0,0
Current State: 81:[7, 86, 23], Operations: ['63-40=23']
Exploring Operation: 7+23=30, Resulting Numbers: [86, 30]
Generated Node #0,0,0: 81:[86, 30] Operation: 7+23=30
Exploring Operation: 86-7=79, Resulting Numbers: [23, 79]
Generated Node #0,0,1: 81:[23, 79] Operation: 86-7=79
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[23, 79], Operations: ['63-40=23', '86-7=79']
Exploring Operation: 79-23=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 23+79=102, Resulting Numbers: [102]
102,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[86, 30], Operations: ['63-40=23', '7+23=30']
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 86+30=116, Resulting Numbers: [116]
116,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 81:[86, 40, 9], Operations: ['63/7=9']
Exploring Operation: 40-9=31, Resulting Numbers: [86, 31]
Generated Node #0,1,0: 81:[86, 31] Operation: 40-9=31
Exploring Operation: 86-9=77, Resulting Numbers: [40, 77]
Generated Node #0,1,1: 81:[40, 77] Operation: 86-9=77
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 81:[86, 31], Operations: ['63/7=9', '40-9=31']
Exploring Operation: 86+31=117, Resulting Numbers: [117]
117,81 unequal: No Solution
Exploring Operation: 86-31=55, Resulting Numbers: [55]
55,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 81:[40, 77], Operations: ['63/7=9', '86-9=77']
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,81 unequal: No Solution
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,81 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 |
[
77,
35,
75,
3
] | 16 | [
"77-75=2",
"35-3=32",
"32/2=16"
] | Current State: 16:[77, 35, 75, 3], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [35, 3, 2]
Generated Node #2: [35, 3, 2] from Operation: 77-75=2
Current State: 16:[35, 3, 2], Operations: ['77-75=2']
Exploring Operation: 35-3=32, Resulting Numbers: [2, 32]
Generated Node #3: [2, 32] from Operation: 35-3=32
Current State: 16:[2, 32], Operations: ['77-75=2', '35-3=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[77, 35, 75, 3], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [77, 3, 40]
Generated Node #0,0: 16:[77, 3, 40] Operation: 75-35=40
Exploring Operation: 77-75=2, Resulting Numbers: [35, 3, 2]
Generated Node #0,1: 16:[35, 3, 2] Operation: 77-75=2
Exploring Operation: 77-35=42, Resulting Numbers: [75, 3, 42]
Generated Node #0,2: 16:[75, 3, 42] Operation: 77-35=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[35, 3, 2], Operations: ['77-75=2']
Exploring Operation: 35-3=32, Resulting Numbers: [2, 32]
Generated Node #0,1,0: 16:[2, 32] Operation: 35-3=32
Exploring Operation: 3+2=5, Resulting Numbers: [35, 5]
Generated Node #0,1,1: 16:[35, 5] Operation: 3+2=5
Exploring Operation: 35-2=33, Resulting Numbers: [3, 33]
Generated Node #0,1,2: 16:[3, 33] Operation: 35-2=33
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 16:[2, 32], Operations: ['77-75=2', '35-3=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[77, 35, 75, 3], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [35, 3, 2]
Generated Node #0,1: 16:[35, 3, 2] Operation: 77-75=2
Moving to Node #0,1
Current State: 16:[35, 3, 2], Operations: ['77-75=2']
Exploring Operation: 35-3=32, Resulting Numbers: [2, 32]
Generated Node #0,1,0: 16:[2, 32] Operation: 35-3=32
Moving to Node #0,1,0
Current State: 16:[2, 32], Operations: ['77-75=2', '35-3=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
44,
22,
11,
24
] | 42 | [
"44/11=4",
"22+24=46",
"46-4=42"
] | Current State: 42:[44, 22, 11, 24], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [22, 24, 4]
Generated Node #2: [22, 24, 4] from Operation: 44/11=4
Current State: 42:[22, 24, 4], Operations: ['44/11=4']
Exploring Operation: 22+24=46, Resulting Numbers: [4, 46]
Generated Node #3: [4, 46] from Operation: 22+24=46
Current State: 42:[4, 46], Operations: ['44/11=4', '22+24=46']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[44, 22, 11, 24], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [22, 24, 4]
Generated Node #0,0: 42:[22, 24, 4] Operation: 44/11=4
Exploring Operation: 24-11=13, Resulting Numbers: [44, 22, 13]
Generated Node #0,1: 42:[44, 22, 13] Operation: 24-11=13
Exploring Operation: 44-24=20, Resulting Numbers: [22, 11, 20]
Generated Node #0,2: 42:[22, 11, 20] Operation: 44-24=20
Exploring Operation: 22/11=2, Resulting Numbers: [44, 24, 2]
Generated Node #0,3: 42:[44, 24, 2] Operation: 22/11=2
Moving to Node #0,1
Current State: 42:[44, 22, 13], Operations: ['24-11=13']
Exploring Operation: 22-13=9, Resulting Numbers: [44, 9]
Generated Node #0,1,0: 42:[44, 9] Operation: 22-13=9
Exploring Operation: 44/22=2, Resulting Numbers: [13, 2]
Generated Node #0,1,1: 42:[13, 2] Operation: 44/22=2
Exploring Operation: 22+13=35, Resulting Numbers: [44, 35]
Generated Node #0,1,2: 42:[44, 35] Operation: 22+13=35
Exploring Operation: 44-22=22, Resulting Numbers: [13, 22]
Generated Node #0,1,3: 42:[13, 22] Operation: 44-22=22
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 42:[13, 2], Operations: ['24-11=13', '44/22=2']
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,42 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,42 unequal: No Solution
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 42:[13, 22], Operations: ['24-11=13', '44-22=22']
Exploring Operation: 22-13=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 13*22=286, Resulting Numbers: [286]
286,42 unequal: No Solution
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 42:[44, 9], Operations: ['24-11=13', '22-13=9']
Exploring Operation: 44*9=396, Resulting Numbers: [396]
396,42 unequal: No Solution
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,42 unequal: No Solution
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,42 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 42:[44, 35], Operations: ['24-11=13', '22+13=35']
Exploring Operation: 44-35=9, Resulting Numbers: [9]
9,42 unequal: No Solution
Exploring Operation: 44*35=1540, Resulting Numbers: [1540]
1540,42 unequal: No Solution
Exploring Operation: 44+35=79, Resulting Numbers: [79]
79,42 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: 42:[22, 11, 20], Operations: ['44-24=20']
Exploring Operation: 22+20=42, Resulting Numbers: [11, 42]
Generated Node #0,2,0: 42:[11, 42] Operation: 22+20=42
Exploring Operation: 22-20=2, Resulting Numbers: [11, 2]
Generated Node #0,2,1: 42:[11, 2] Operation: 22-20=2
Exploring Operation: 22/11=2, Resulting Numbers: [20, 2]
Generated Node #0,2,2: 42:[20, 2] Operation: 22/11=2
Exploring Operation: 20-11=9, Resulting Numbers: [22, 9]
Generated Node #0,2,3: 42:[22, 9] Operation: 20-11=9
Moving to Node #0,0
Current State: 42:[22, 24, 4], Operations: ['44/11=4']
Exploring Operation: 24-4=20, Resulting Numbers: [22, 20]
Generated Node #0,0,0: 42:[22, 20] Operation: 24-4=20
Exploring Operation: 22+24=46, Resulting Numbers: [4, 46]
Generated Node #0,0,1: 42:[4, 46] Operation: 22+24=46
Exploring Operation: 24/4=6, Resulting Numbers: [22, 6]
Generated Node #0,0,2: 42:[22, 6] Operation: 24/4=6
Exploring Operation: 24-22=2, Resulting Numbers: [4, 2]
Generated Node #0,0,3: 42:[4, 2] Operation: 24-22=2
Moving to Node #0,3
Current State: 42:[44, 24, 2], Operations: ['22/11=2']
Exploring Operation: 44/2=22, Resulting Numbers: [24, 22]
Generated Node #0,3,0: 42:[24, 22] Operation: 44/2=22
Exploring Operation: 24-2=22, Resulting Numbers: [44, 22]
Generated Node #0,3,1: 42:[44, 22] Operation: 24-2=22
Exploring Operation: 44-2=42, Resulting Numbers: [24, 42]
Generated Node #0,3,2: 42:[24, 42] Operation: 44-2=42
Exploring Operation: 44-24=20, Resulting Numbers: [2, 20]
Generated Node #0,3,3: 42:[2, 20] Operation: 44-24=20
Moving to Node #0,2,2
Current State: 42:[20, 2], Operations: ['44-24=20', '22/11=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Moving to Node #0,0,3
Current State: 42:[4, 2], Operations: ['44/11=4', '24-22=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,42 unequal: No Solution
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,42 unequal: No Solution
Moving to Node #0,0,2
Current State: 42:[22, 6], Operations: ['44/11=4', '24/4=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,42 unequal: No Solution
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,42 unequal: No Solution
Moving to Node #0,3,3
Current State: 42:[2, 20], Operations: ['22/11=2', '44-24=20']
Exploring Operation: 2*20=40, Resulting Numbers: [40]
40,42 unequal: No Solution
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,42 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,42 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Moving to Node #0,0,0
Current State: 42:[22, 20], Operations: ['44/11=4', '24-4=20']
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,42 unequal: No Solution
Exploring Operation: 22*20=440, Resulting Numbers: [440]
440,42 unequal: No Solution
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[44, 22, 11, 24], Operations: []
Exploring Operation: 44/11=4, Resulting Numbers: [22, 24, 4]
Generated Node #0,0: 42:[22, 24, 4] Operation: 44/11=4
Moving to Node #0,0
Current State: 42:[22, 24, 4], Operations: ['44/11=4']
Exploring Operation: 24-4=20, Resulting Numbers: [22, 20]
Generated Node #0,0,0: 42:[22, 20] Operation: 24-4=20
Moving to Node #0,0,0
Current State: 42:[22, 20], Operations: ['44/11=4', '24-4=20']
Exploring Operation: 22+20=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.953125 | hs_4 | sum_heuristic |
[
25,
20,
32,
57
] | 19 | [
"25+32=57",
"57/57=1",
"20-1=19"
] | Current State: 19:[25, 20, 32, 57], Operations: []
Exploring Operation: 25+32=57, Resulting Numbers: [20, 57, 57]
Generated Node #2: [20, 57, 57] from Operation: 25+32=57
Current State: 19:[20, 57, 57], Operations: ['25+32=57']
Exploring Operation: 57/57=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 57/57=1
Current State: 19:[20, 1], Operations: ['25+32=57', '57/57=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[25, 20, 32, 57], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [25, 20, 25]
Generated Node #0,0: 19:[25, 20, 25] Operation: 57-32=25
Exploring Operation: 57-25=32, Resulting Numbers: [20, 32, 32]
Generated Node #0,1: 19:[20, 32, 32] Operation: 57-25=32
Exploring Operation: 57-20=37, Resulting Numbers: [25, 32, 37]
Generated Node #0,2: 19:[25, 32, 37] Operation: 57-20=37
Exploring Operation: 32-25=7, Resulting Numbers: [20, 57, 7]
Generated Node #0,3: 19:[20, 57, 7] Operation: 32-25=7
Moving to Node #0,0
Current State: 19:[25, 20, 25], Operations: ['57-32=25']
Exploring Operation: 25-25=0, Resulting Numbers: [20, 0]
Generated Node #0,0,0: 19:[20, 0] Operation: 25-25=0
Exploring Operation: 25-20=5, Resulting Numbers: [25, 5]
Generated Node #0,0,1: 19:[25, 5] Operation: 25-20=5
Exploring Operation: 25-20=5, Resulting Numbers: [25, 5]
Generated Node #0,0,2: 19:[25, 5] Operation: 25-20=5
Exploring Operation: 25/25=1, Resulting Numbers: [20, 1]
Generated Node #0,0,3: 19:[20, 1] Operation: 25/25=1
Moving to Node #0,1
Current State: 19:[20, 32, 32], Operations: ['57-25=32']
Exploring Operation: 32-20=12, Resulting Numbers: [32, 12]
Generated Node #0,1,0: 19:[32, 12] Operation: 32-20=12
Exploring Operation: 32-32=0, Resulting Numbers: [20, 0]
Generated Node #0,1,1: 19:[20, 0] Operation: 32-32=0
Exploring Operation: 32/32=1, Resulting Numbers: [20, 1]
Generated Node #0,1,2: 19:[20, 1] Operation: 32/32=1
Exploring Operation: 32-20=12, Resulting Numbers: [32, 12]
Generated Node #0,1,3: 19:[32, 12] Operation: 32-20=12
Moving to Node #0,2
Current State: 19:[25, 32, 37], Operations: ['57-20=37']
Exploring Operation: 32-25=7, Resulting Numbers: [37, 7]
Generated Node #0,2,0: 19:[37, 7] Operation: 32-25=7
Exploring Operation: 37-25=12, Resulting Numbers: [32, 12]
Generated Node #0,2,1: 19:[32, 12] Operation: 37-25=12
Exploring Operation: 37-32=5, Resulting Numbers: [25, 5]
Generated Node #0,2,2: 19:[25, 5] Operation: 37-32=5
Exploring Operation: 25+32=57, Resulting Numbers: [37, 57]
Generated Node #0,2,3: 19:[37, 57] Operation: 25+32=57
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 19:[32, 12], Operations: ['57-20=37', '37-25=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,19 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,19 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:[25, 5], Operations: ['57-20=37', '37-32=5']
Exploring Operation: 25+5=30, Resulting Numbers: [30]
30,19 unequal: No Solution
Exploring Operation: 25*5=125, Resulting Numbers: [125]
125,19 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,19 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:[37, 7], Operations: ['57-20=37', '32-25=7']
Exploring Operation: 37*7=259, Resulting Numbers: [259]
259,19 unequal: No Solution
Exploring Operation: 37+7=44, Resulting Numbers: [44]
44,19 unequal: No Solution
Exploring Operation: 37-7=30, Resulting Numbers: [30]
30,19 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:[37, 57], Operations: ['57-20=37', '25+32=57']
Exploring Operation: 37*57=2109, Resulting Numbers: [2109]
2109,19 unequal: No Solution
Exploring Operation: 57-37=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 37+57=94, Resulting Numbers: [94]
94,19 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: 19:[20, 57, 7], Operations: ['32-25=7']
Exploring Operation: 57-7=50, Resulting Numbers: [20, 50]
Generated Node #0,3,0: 19:[20, 50] Operation: 57-7=50
Exploring Operation: 57-20=37, Resulting Numbers: [7, 37]
Generated Node #0,3,1: 19:[7, 37] Operation: 57-20=37
Exploring Operation: 20-7=13, Resulting Numbers: [57, 13]
Generated Node #0,3,2: 19:[57, 13] Operation: 20-7=13
Exploring Operation: 20+7=27, Resulting Numbers: [57, 27]
Generated Node #0,3,3: 19:[57, 27] Operation: 20+7=27
Moving to Node #0,0,3
Current State: 19:[20, 1], Operations: ['57-32=25', '25/25=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[25, 20, 32, 57], Operations: []
Exploring Operation: 57-32=25, Resulting Numbers: [25, 20, 25]
Generated Node #0,0: 19:[25, 20, 25] Operation: 57-32=25
Moving to Node #0,0
Current State: 19:[25, 20, 25], Operations: ['57-32=25']
Exploring Operation: 25/25=1, Resulting Numbers: [20, 1]
Generated Node #0,0,3: 19:[20, 1] Operation: 25/25=1
Moving to Node #0,0,3
Current State: 19:[20, 1], Operations: ['57-32=25', '25/25=1']
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.967014 | hs_4 | sum_heuristic |
[
62,
1,
77,
41
] | 57 | [
"62-1=61",
"77+41=118",
"118-61=57"
] | Current State: 57:[62, 1, 77, 41], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [77, 41, 61]
Generated Node #2: [77, 41, 61] from Operation: 62-1=61
Current State: 57:[77, 41, 61], Operations: ['62-1=61']
Exploring Operation: 77+41=118, Resulting Numbers: [61, 118]
Generated Node #3: [61, 118] from Operation: 77+41=118
Current State: 57:[61, 118], Operations: ['62-1=61', '77+41=118']
Exploring Operation: 118-61=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[62, 1, 77, 41], Operations: []
Exploring Operation: 62-1=61, Resulting Numbers: [77, 41, 61]
Generated Node #0,0: 57:[77, 41, 61] Operation: 62-1=61
Exploring Operation: 77-41=36, Resulting Numbers: [62, 1, 36]
Generated Node #0,1: 57:[62, 1, 36] Operation: 77-41=36
Exploring Operation: 77-62=15, Resulting Numbers: [1, 41, 15]
Generated Node #0,2: 57:[1, 41, 15] Operation: 77-62=15
Exploring Operation: 62-41=21, Resulting Numbers: [1, 77, 21]
Generated Node #0,3: 57:[1, 77, 21] Operation: 62-41=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[1, 41, 15], Operations: ['77-62=15']
Exploring Operation: 41+15=56, Resulting Numbers: [1, 56]
Generated Node #0,2,0: 57:[1, 56] Operation: 41+15=56
Exploring Operation: 1+41=42, Resulting Numbers: [15, 42]
Generated Node #0,2,1: 57:[15, 42] Operation: 1+41=42
Exploring Operation: 41-15=26, Resulting Numbers: [1, 26]
Generated Node #0,2,2: 57:[1, 26] Operation: 41-15=26
Exploring Operation: 1+15=16, Resulting Numbers: [41, 16]
Generated Node #0,2,3: 57:[41, 16] Operation: 1+15=16
Moving to Node #0,2,0
Current State: 57:[1, 56], Operations: ['77-62=15', '41+15=56']
Exploring Operation: 56/1=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:[62, 1, 77, 41], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [1, 41, 15]
Generated Node #0,2: 57:[1, 41, 15] Operation: 77-62=15
Moving to Node #0,2
Current State: 57:[1, 41, 15], Operations: ['77-62=15']
Exploring Operation: 41+15=56, Resulting Numbers: [1, 56]
Generated Node #0,2,0: 57:[1, 56] Operation: 41+15=56
Moving to Node #0,2,0
Current State: 57:[1, 56], Operations: ['77-62=15', '41+15=56']
Exploring Operation: 1+56=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
39,
39,
87,
70
] | 16 | [
"39/39=1",
"87-70=17",
"17-1=16"
] | Current State: 16:[39, 39, 87, 70], Operations: []
Exploring Operation: 39/39=1, Resulting Numbers: [87, 70, 1]
Generated Node #2: [87, 70, 1] from Operation: 39/39=1
Current State: 16:[87, 70, 1], Operations: ['39/39=1']
Exploring Operation: 87-70=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 87-70=17
Current State: 16:[1, 17], Operations: ['39/39=1', '87-70=17']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[39, 39, 87, 70], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [39, 39, 17]
Generated Node #0,0: 16:[39, 39, 17] Operation: 87-70=17
Moving to Node #0,0
Current State: 16:[39, 39, 17], Operations: ['87-70=17']
Exploring Operation: 39/39=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 16:[17, 1] Operation: 39/39=1
Moving to Node #0,0,0
Current State: 16:[17, 1], Operations: ['87-70=17', '39/39=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[39, 39, 87, 70], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [39, 39, 17]
Generated Node #0,0: 16:[39, 39, 17] Operation: 87-70=17
Moving to Node #0,0
Current State: 16:[39, 39, 17], Operations: ['87-70=17']
Exploring Operation: 39/39=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 16:[17, 1] Operation: 39/39=1
Moving to Node #0,0,0
Current State: 16:[17, 1], Operations: ['87-70=17', '39/39=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
66,
21,
37,
15
] | 63 | [
"66*21=1386",
"37-15=22",
"1386/22=63"
] | Current State: 63:[66, 21, 37, 15], Operations: []
Exploring Operation: 66*21=1386, Resulting Numbers: [37, 15, 1386]
Generated Node #2: [37, 15, 1386] from Operation: 66*21=1386
Current State: 63:[37, 15, 1386], Operations: ['66*21=1386']
Exploring Operation: 37-15=22, Resulting Numbers: [1386, 22]
Generated Node #3: [1386, 22] from Operation: 37-15=22
Current State: 63:[1386, 22], Operations: ['66*21=1386', '37-15=22']
Exploring Operation: 1386/22=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[66, 21, 37, 15], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [66, 21, 22]
Generated Node #0,0: 63:[66, 21, 22] Operation: 37-15=22
Moving to Node #0,0
Current State: 63:[66, 21, 22], Operations: ['37-15=22']
Exploring Operation: 66/22=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 63:[21, 3] Operation: 66/22=3
Moving to Node #0,0,0
Current State: 63:[21, 3], Operations: ['37-15=22', '66/22=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[66, 21, 37, 15], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [66, 21, 22]
Generated Node #0,0: 63:[66, 21, 22] Operation: 37-15=22
Moving to Node #0,0
Current State: 63:[66, 21, 22], Operations: ['37-15=22']
Exploring Operation: 66/22=3, Resulting Numbers: [21, 3]
Generated Node #0,0,0: 63:[21, 3] Operation: 66/22=3
Moving to Node #0,0,0
Current State: 63:[21, 3], Operations: ['37-15=22', '66/22=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
91,
36,
47,
4
] | 47 | [
"91-47=44",
"44/4=11",
"36+11=47"
] | Current State: 47:[91, 36, 47, 4], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [36, 4, 44]
Generated Node #2: [36, 4, 44] from Operation: 91-47=44
Current State: 47:[36, 4, 44], Operations: ['91-47=44']
Exploring Operation: 44/4=11, Resulting Numbers: [36, 11]
Generated Node #3: [36, 11] from Operation: 44/4=11
Current State: 47:[36, 11], Operations: ['91-47=44', '44/4=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[91, 36, 47, 4], Operations: []
Exploring Operation: 91-36=55, Resulting Numbers: [47, 4, 55]
Generated Node #0,0: 47:[47, 4, 55] Operation: 91-36=55
Moving to Node #0,0
Current State: 47:[47, 4, 55], Operations: ['91-36=55']
Exploring Operation: 55-4=51, Resulting Numbers: [47, 51]
Generated Node #0,0,0: 47:[47, 51] Operation: 55-4=51
Moving to Node #0,0,0
Current State: 47:[47, 51], Operations: ['91-36=55', '55-4=51']
Exploring Operation: 51-47=4, Resulting Numbers: [4]
4,47 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
52,
32,
8,
22
] | 16 | [
"52-32=20",
"22-20=2",
"8*2=16"
] | Current State: 16:[52, 32, 8, 22], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [8, 22, 20]
Generated Node #2: [8, 22, 20] from Operation: 52-32=20
Current State: 16:[8, 22, 20], Operations: ['52-32=20']
Exploring Operation: 22-20=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 22-20=2
Current State: 16:[8, 2], Operations: ['52-32=20', '22-20=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[52, 32, 8, 22], Operations: []
Exploring Operation: 52-22=30, Resulting Numbers: [32, 8, 30]
Generated Node #0,0: 16:[32, 8, 30] Operation: 52-22=30
Exploring Operation: 52-32=20, Resulting Numbers: [8, 22, 20]
Generated Node #0,1: 16:[8, 22, 20] Operation: 52-32=20
Start Sub Search at level 1: Moving to Node #0,1
Current State: 16:[8, 22, 20], Operations: ['52-32=20']
Exploring Operation: 22-8=14, Resulting Numbers: [20, 14]
Generated Node #0,1,0: 16:[20, 14] Operation: 22-8=14
Exploring Operation: 22-20=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 16:[8, 2] Operation: 22-20=2
Moving to Node #0,1,1
Current State: 16:[8, 2], Operations: ['52-32=20', '22-20=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[52, 32, 8, 22], Operations: []
Exploring Operation: 52-32=20, Resulting Numbers: [8, 22, 20]
Generated Node #0,1: 16:[8, 22, 20] Operation: 52-32=20
Moving to Node #0,1
Current State: 16:[8, 22, 20], Operations: ['52-32=20']
Exploring Operation: 22-20=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 16:[8, 2] Operation: 22-20=2
Moving to Node #0,1,1
Current State: 16:[8, 2], Operations: ['52-32=20', '22-20=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
89,
92,
70,
87
] | 95 | [
"89-70=19",
"92-87=5",
"19*5=95"
] | Current State: 95:[89, 92, 70, 87], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [92, 87, 19]
Generated Node #2: [92, 87, 19] from Operation: 89-70=19
Current State: 95:[92, 87, 19], Operations: ['89-70=19']
Exploring Operation: 92-87=5, Resulting Numbers: [19, 5]
Generated Node #3: [19, 5] from Operation: 92-87=5
Current State: 95:[19, 5], Operations: ['89-70=19', '92-87=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[89, 92, 70, 87], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [89, 92, 17]
Generated Node #0,0: 95:[89, 92, 17] Operation: 87-70=17
Exploring Operation: 89-70=19, Resulting Numbers: [92, 87, 19]
Generated Node #0,1: 95:[92, 87, 19] Operation: 89-70=19
Moving to Node #0,0
Current State: 95:[89, 92, 17], Operations: ['87-70=17']
Exploring Operation: 89+17=106, Resulting Numbers: [92, 106]
Generated Node #0,0,0: 95:[92, 106] Operation: 89+17=106
Exploring Operation: 92-89=3, Resulting Numbers: [17, 3]
Generated Node #0,0,1: 95:[17, 3] Operation: 92-89=3
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 95:[17, 3], Operations: ['87-70=17', '92-89=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,95 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 95:[92, 106], Operations: ['87-70=17', '89+17=106']
Exploring Operation: 92+106=198, Resulting Numbers: [198]
198,95 unequal: No Solution
Exploring Operation: 106-92=14, Resulting Numbers: [14]
14,95 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: 95:[92, 87, 19], Operations: ['89-70=19']
Exploring Operation: 87+19=106, Resulting Numbers: [92, 106]
Generated Node #0,1,0: 95:[92, 106] Operation: 87+19=106
Exploring Operation: 92-87=5, Resulting Numbers: [19, 5]
Generated Node #0,1,1: 95:[19, 5] Operation: 92-87=5
Moving to Node #0,1,1
Current State: 95:[19, 5], Operations: ['89-70=19', '92-87=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[89, 92, 70, 87], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [92, 87, 19]
Generated Node #0,1: 95:[92, 87, 19] Operation: 89-70=19
Moving to Node #0,1
Current State: 95:[92, 87, 19], Operations: ['89-70=19']
Exploring Operation: 92-87=5, Resulting Numbers: [19, 5]
Generated Node #0,1,1: 95:[19, 5] Operation: 92-87=5
Moving to Node #0,1,1
Current State: 95:[19, 5], Operations: ['89-70=19', '92-87=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 0.986111 | hs_2 | sum_heuristic |
[
52,
60,
61,
63
] | 34 | [
"63-61=2",
"52/2=26",
"60-26=34"
] | Current State: 34:[52, 60, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [52, 60, 2]
Generated Node #2: [52, 60, 2] from Operation: 63-61=2
Current State: 34:[52, 60, 2], Operations: ['63-61=2']
Exploring Operation: 52/2=26, Resulting Numbers: [60, 26]
Generated Node #3: [60, 26] from Operation: 52/2=26
Current State: 34:[60, 26], Operations: ['63-61=2', '52/2=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[52, 60, 61, 63], Operations: []
Exploring Operation: 60-52=8, Resulting Numbers: [61, 63, 8]
Generated Node #0,0: 34:[61, 63, 8] Operation: 60-52=8
Exploring Operation: 63-61=2, Resulting Numbers: [52, 60, 2]
Generated Node #0,1: 34:[52, 60, 2] Operation: 63-61=2
Exploring Operation: 63-52=11, Resulting Numbers: [60, 61, 11]
Generated Node #0,2: 34:[60, 61, 11] Operation: 63-52=11
Exploring Operation: 61-60=1, Resulting Numbers: [52, 63, 1]
Generated Node #0,3: 34:[52, 63, 1] Operation: 61-60=1
Exploring Operation: 63-60=3, Resulting Numbers: [52, 61, 3]
Generated Node #0,4: 34:[52, 61, 3] Operation: 63-60=3
Moving to Node #0,1
Current State: 34:[52, 60, 2], Operations: ['63-61=2']
Exploring Operation: 60-52=8, Resulting Numbers: [2, 8]
Generated Node #0,1,0: 34:[2, 8] Operation: 60-52=8
Exploring Operation: 52-2=50, Resulting Numbers: [60, 50]
Generated Node #0,1,1: 34:[60, 50] Operation: 52-2=50
Exploring Operation: 60/2=30, Resulting Numbers: [52, 30]
Generated Node #0,1,2: 34:[52, 30] Operation: 60/2=30
Exploring Operation: 52/2=26, Resulting Numbers: [60, 26]
Generated Node #0,1,3: 34:[60, 26] Operation: 52/2=26
Exploring Operation: 60-2=58, Resulting Numbers: [52, 58]
Generated Node #0,1,4: 34:[52, 58] Operation: 60-2=58
Moving to Node #0,4
Current State: 34:[52, 61, 3], Operations: ['63-60=3']
Exploring Operation: 61-3=58, Resulting Numbers: [52, 58]
Generated Node #0,4,0: 34:[52, 58] Operation: 61-3=58
Exploring Operation: 61+3=64, Resulting Numbers: [52, 64]
Generated Node #0,4,1: 34:[52, 64] Operation: 61+3=64
Exploring Operation: 52+3=55, Resulting Numbers: [61, 55]
Generated Node #0,4,2: 34:[61, 55] Operation: 52+3=55
Exploring Operation: 52-3=49, Resulting Numbers: [61, 49]
Generated Node #0,4,3: 34:[61, 49] Operation: 52-3=49
Exploring Operation: 61-52=9, Resulting Numbers: [3, 9]
Generated Node #0,4,4: 34:[3, 9] Operation: 61-52=9
Moving to Node #0,3
Current State: 34:[52, 63, 1], Operations: ['61-60=1']
Exploring Operation: 52-1=51, Resulting Numbers: [63, 51]
Generated Node #0,3,0: 34:[63, 51] Operation: 52-1=51
Exploring Operation: 63-1=62, Resulting Numbers: [52, 62]
Generated Node #0,3,1: 34:[52, 62] Operation: 63-1=62
Exploring Operation: 63-52=11, Resulting Numbers: [1, 11]
Generated Node #0,3,2: 34:[1, 11] Operation: 63-52=11
Exploring Operation: 52/1=52, Resulting Numbers: [63, 52]
Generated Node #0,3,3: 34:[63, 52] Operation: 52/1=52
Exploring Operation: 52*1=52, Resulting Numbers: [63, 52]
Generated Node #0,3,4: 34:[63, 52] Operation: 52*1=52
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 34:[1, 11], Operations: ['61-60=1', '63-52=11']
Exploring Operation: 1*11=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 1+11=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 34:[63, 51], Operations: ['61-60=1', '52-1=51']
Exploring Operation: 63*51=3213, Resulting Numbers: [3213]
3213,34 unequal: No Solution
Exploring Operation: 63-51=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 63+51=114, Resulting Numbers: [114]
114,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 34:[52, 62], Operations: ['61-60=1', '63-1=62']
Exploring Operation: 52+62=114, Resulting Numbers: [114]
114,34 unequal: No Solution
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 52*62=3224, Resulting Numbers: [3224]
3224,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 34:[63, 52], Operations: ['61-60=1', '52/1=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,34 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,34 unequal: No Solution
Exploring Operation: 63-52=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 #0,3,4
Current State: 34:[63, 52], Operations: ['61-60=1', '52*1=52']
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,34 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,34 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: 34:[60, 61, 11], Operations: ['63-52=11']
Exploring Operation: 60+11=71, Resulting Numbers: [61, 71]
Generated Node #0,2,0: 34:[61, 71] Operation: 60+11=71
Exploring Operation: 61+11=72, Resulting Numbers: [60, 72]
Generated Node #0,2,1: 34:[60, 72] Operation: 61+11=72
Exploring Operation: 60-11=49, Resulting Numbers: [61, 49]
Generated Node #0,2,2: 34:[61, 49] Operation: 60-11=49
Exploring Operation: 61-11=50, Resulting Numbers: [60, 50]
Generated Node #0,2,3: 34:[60, 50] Operation: 61-11=50
Exploring Operation: 61-60=1, Resulting Numbers: [11, 1]
Generated Node #0,2,4: 34:[11, 1] Operation: 61-60=1
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 34:[11, 1], Operations: ['63-52=11', '61-60=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,34 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,34 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:[61, 49], Operations: ['63-52=11', '60-11=49']
Exploring Operation: 61*49=2989, Resulting Numbers: [2989]
2989,34 unequal: No Solution
Exploring Operation: 61-49=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 61+49=110, Resulting Numbers: [110]
110,34 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:[60, 50], Operations: ['63-52=11', '61-11=50']
Exploring Operation: 60-50=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 60+50=110, Resulting Numbers: [110]
110,34 unequal: No Solution
Exploring Operation: 60*50=3000, Resulting Numbers: [3000]
3000,34 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 #0,2,0
Current State: 34:[61, 71], Operations: ['63-52=11', '60+11=71']
Exploring Operation: 61*71=4331, Resulting Numbers: [4331]
4331,34 unequal: No Solution
Exploring Operation: 61+71=132, Resulting Numbers: [132]
132,34 unequal: No Solution
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,34 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:[60, 72], Operations: ['63-52=11', '61+11=72']
Exploring Operation: 60*72=4320, Resulting Numbers: [4320]
4320,34 unequal: No Solution
Exploring Operation: 60+72=132, Resulting Numbers: [132]
132,34 unequal: No Solution
Exploring Operation: 72-60=12, Resulting Numbers: [12]
12,34 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:[61, 63, 8], Operations: ['60-52=8']
Exploring Operation: 61+8=69, Resulting Numbers: [63, 69]
Generated Node #0,0,0: 34:[63, 69] Operation: 61+8=69
Exploring Operation: 63+8=71, Resulting Numbers: [61, 71]
Generated Node #0,0,1: 34:[61, 71] Operation: 63+8=71
Exploring Operation: 63-8=55, Resulting Numbers: [61, 55]
Generated Node #0,0,2: 34:[61, 55] Operation: 63-8=55
Exploring Operation: 63-61=2, Resulting Numbers: [8, 2]
Generated Node #0,0,3: 34:[8, 2] Operation: 63-61=2
Exploring Operation: 61-8=53, Resulting Numbers: [63, 53]
Generated Node #0,0,4: 34:[63, 53] Operation: 61-8=53
Moving to Node #0,1,0
Current State: 34:[2, 8], Operations: ['63-61=2', '60-52=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Moving to Node #0,0,3
Current State: 34:[8, 2], Operations: ['60-52=8', '63-61=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,34 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,4,4
Current State: 34:[3, 9], Operations: ['63-60=3', '61-52=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,34 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,34 unequal: No Solution
Exploring Operation: 3+9=12, Resulting Numbers: [12]
12,34 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,34 unequal: No Solution
Moving to Node #0,1,2
Current State: 34:[52, 30], Operations: ['63-61=2', '60/2=30']
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,34 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,34 unequal: No Solution
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,34 unequal: No Solution
Moving to Node #0,1,3
Current State: 34:[60, 26], Operations: ['63-61=2', '52/2=26']
Exploring Operation: 60+26=86, Resulting Numbers: [86]
86,34 unequal: No Solution
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[52, 60, 61, 63], Operations: []
Exploring Operation: 63-61=2, Resulting Numbers: [52, 60, 2]
Generated Node #0,1: 34:[52, 60, 2] Operation: 63-61=2
Moving to Node #0,1
Current State: 34:[52, 60, 2], Operations: ['63-61=2']
Exploring Operation: 52/2=26, Resulting Numbers: [60, 26]
Generated Node #0,1,3: 34:[60, 26] Operation: 52/2=26
Moving to Node #0,1,3
Current State: 34:[60, 26], Operations: ['63-61=2', '52/2=26']
Exploring Operation: 60-26=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 0.927951 | hs_5 | sum_heuristic |
[
27,
29,
37,
3
] | 80 | [
"29-27=2",
"37+3=40",
"2*40=80"
] | Current State: 80:[27, 29, 37, 3], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [37, 3, 2]
Generated Node #2: [37, 3, 2] from Operation: 29-27=2
Current State: 80:[37, 3, 2], Operations: ['29-27=2']
Exploring Operation: 37+3=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 37+3=40
Current State: 80:[2, 40], Operations: ['29-27=2', '37+3=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[27, 29, 37, 3], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [37, 3, 2]
Generated Node #0,0: 80:[37, 3, 2] Operation: 29-27=2
Exploring Operation: 37-27=10, Resulting Numbers: [29, 3, 10]
Generated Node #0,1: 80:[29, 3, 10] Operation: 37-27=10
Exploring Operation: 37-29=8, Resulting Numbers: [27, 3, 8]
Generated Node #0,2: 80:[27, 3, 8] Operation: 37-29=8
Exploring Operation: 27*3=81, Resulting Numbers: [29, 37, 81]
Generated Node #0,3: 80:[29, 37, 81] Operation: 27*3=81
Moving to Node #0,0
Current State: 80:[37, 3, 2], Operations: ['29-27=2']
Exploring Operation: 3*2=6, Resulting Numbers: [37, 6]
Generated Node #0,0,0: 80:[37, 6] Operation: 3*2=6
Exploring Operation: 37+2=39, Resulting Numbers: [3, 39]
Generated Node #0,0,1: 80:[3, 39] Operation: 37+2=39
Exploring Operation: 3+2=5, Resulting Numbers: [37, 5]
Generated Node #0,0,2: 80:[37, 5] Operation: 3+2=5
Exploring Operation: 37+3=40, Resulting Numbers: [2, 40]
Generated Node #0,0,3: 80:[2, 40] Operation: 37+3=40
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 80:[2, 40], Operations: ['29-27=2', '37+3=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[27, 29, 37, 3], Operations: []
Exploring Operation: 29-27=2, Resulting Numbers: [37, 3, 2]
Generated Node #0,0: 80:[37, 3, 2] Operation: 29-27=2
Moving to Node #0,0
Current State: 80:[37, 3, 2], Operations: ['29-27=2']
Exploring Operation: 37+3=40, Resulting Numbers: [2, 40]
Generated Node #0,0,3: 80:[2, 40] Operation: 37+3=40
Moving to Node #0,0,3
Current State: 80:[2, 40], Operations: ['29-27=2', '37+3=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
25,
15,
10,
55
] | 27 | [
"55-10=45",
"15*45=675",
"675/25=27"
] | Current State: 27:[25, 15, 10, 55], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [25, 15, 45]
Generated Node #2: [25, 15, 45] from Operation: 55-10=45
Current State: 27:[25, 15, 45], Operations: ['55-10=45']
Exploring Operation: 15*45=675, Resulting Numbers: [25, 675]
Generated Node #3: [25, 675] from Operation: 15*45=675
Current State: 27:[25, 675], Operations: ['55-10=45', '15*45=675']
Exploring Operation: 675/25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[25, 15, 10, 55], Operations: []
Exploring Operation: 55-15=40, Resulting Numbers: [25, 10, 40]
Generated Node #0,0: 27:[25, 10, 40] Operation: 55-15=40
Exploring Operation: 55-25=30, Resulting Numbers: [15, 10, 30]
Generated Node #0,1: 27:[15, 10, 30] Operation: 55-25=30
Moving to Node #0,1
Current State: 27:[15, 10, 30], Operations: ['55-25=30']
Exploring Operation: 30/15=2, Resulting Numbers: [10, 2]
Generated Node #0,1,0: 27:[10, 2] Operation: 30/15=2
Exploring Operation: 15+10=25, Resulting Numbers: [30, 25]
Generated Node #0,1,1: 27:[30, 25] Operation: 15+10=25
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 27:[10, 2], Operations: ['55-25=30', '30/15=2']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,27 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:[30, 25], Operations: ['55-25=30', '15+10=25']
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,27 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:[25, 10, 40], Operations: ['55-15=40']
Exploring Operation: 40-10=30, Resulting Numbers: [25, 30]
Generated Node #0,0,0: 27:[25, 30] Operation: 40-10=30
Exploring Operation: 40/10=4, Resulting Numbers: [25, 4]
Generated Node #0,0,1: 27:[25, 4] Operation: 40/10=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 27:[25, 4], Operations: ['55-15=40', '40/10=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,27 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:[25, 30], Operations: ['55-15=40', '40-10=30']
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,27 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,27 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 |
[
1,
5,
56,
5
] | 31 | [
"1*5=5",
"5*5=25",
"56-25=31"
] | Current State: 31:[1, 5, 56, 5], Operations: []
Exploring Operation: 1*5=5, Resulting Numbers: [56, 5]
Generated Node #2: [56, 5] from Operation: 1*5=5
Current State: 31:[56, 5], Operations: ['1*5=5']
Exploring Operation: 5*5=25, Resulting Numbers: [56, 25]
Generated Node #3: [56, 25] from Operation: 5*5=25
Current State: 31:[56, 25], Operations: ['1*5=5', '5*5=25']
Exploring Operation: 56-25=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[1, 5, 56, 5], Operations: []
Exploring Operation: 1+5=6, Resulting Numbers: [56, 5, 6]
Generated Node #0,0: 31:[56, 5, 6] Operation: 1+5=6
Exploring Operation: 56-1=55, Resulting Numbers: [5, 5, 55]
Generated Node #0,1: 31:[5, 5, 55] Operation: 56-1=55
Exploring Operation: 5*5=25, Resulting Numbers: [1, 56, 25]
Generated Node #0,2: 31:[1, 56, 25] Operation: 5*5=25
Exploring Operation: 1+5=6, Resulting Numbers: [5, 56, 6]
Generated Node #0,3: 31:[5, 56, 6] Operation: 1+5=6
Moving to Node #0,2
Current State: 31:[1, 56, 25], Operations: ['5*5=25']
Exploring Operation: 1*56=56, Resulting Numbers: [25, 56]
Generated Node #0,2,0: 31:[25, 56] Operation: 1*56=56
Exploring Operation: 1+25=26, Resulting Numbers: [56, 26]
Generated Node #0,2,1: 31:[56, 26] Operation: 1+25=26
Exploring Operation: 56-25=31, Resulting Numbers: [1, 31]
Generated Node #0,2,2: 31:[1, 31] Operation: 56-25=31
Exploring Operation: 56-1=55, Resulting Numbers: [25, 55]
Generated Node #0,2,3: 31:[25, 55] Operation: 56-1=55
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 31:[56, 26], Operations: ['5*5=25', '1+25=26']
Exploring Operation: 56*26=1456, Resulting Numbers: [1456]
1456,31 unequal: No Solution
Exploring Operation: 56+26=82, Resulting Numbers: [82]
82,31 unequal: No Solution
Exploring Operation: 56-26=30, Resulting Numbers: [30]
30,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[1, 31], Operations: ['5*5=25', '56-25=31']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,31 unequal: No Solution
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[1, 5, 56, 5], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [1, 56, 25]
Generated Node #0,2: 31:[1, 56, 25] Operation: 5*5=25
Moving to Node #0,2
Current State: 31:[1, 56, 25], Operations: ['5*5=25']
Exploring Operation: 56-25=31, Resulting Numbers: [1, 31]
Generated Node #0,2,2: 31:[1, 31] Operation: 56-25=31
Moving to Node #0,2,2
Current State: 31:[1, 31], Operations: ['5*5=25', '56-25=31']
Exploring Operation: 31/1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
21,
29,
79,
16
] | 45 | [
"21+29=50",
"79+16=95",
"95-50=45"
] | Current State: 45:[21, 29, 79, 16], Operations: []
Exploring Operation: 21+29=50, Resulting Numbers: [79, 16, 50]
Generated Node #2: [79, 16, 50] from Operation: 21+29=50
Current State: 45:[79, 16, 50], Operations: ['21+29=50']
Exploring Operation: 79+16=95, Resulting Numbers: [50, 95]
Generated Node #3: [50, 95] from Operation: 79+16=95
Current State: 45:[50, 95], Operations: ['21+29=50', '79+16=95']
Exploring Operation: 95-50=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[21, 29, 79, 16], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [21, 16, 50]
Generated Node #0,0: 45:[21, 16, 50] Operation: 79-29=50
Exploring Operation: 79-16=63, Resulting Numbers: [21, 29, 63]
Generated Node #0,1: 45:[21, 29, 63] Operation: 79-16=63
Exploring Operation: 79-21=58, Resulting Numbers: [29, 16, 58]
Generated Node #0,2: 45:[29, 16, 58] Operation: 79-21=58
Exploring Operation: 29-21=8, Resulting Numbers: [79, 16, 8]
Generated Node #0,3: 45:[79, 16, 8] Operation: 29-21=8
Moving to Node #0,0
Current State: 45:[21, 16, 50], Operations: ['79-29=50']
Exploring Operation: 50-16=34, Resulting Numbers: [21, 34]
Generated Node #0,0,0: 45:[21, 34] Operation: 50-16=34
Exploring Operation: 21-16=5, Resulting Numbers: [50, 5]
Generated Node #0,0,1: 45:[50, 5] Operation: 21-16=5
Exploring Operation: 21+16=37, Resulting Numbers: [50, 37]
Generated Node #0,0,2: 45:[50, 37] Operation: 21+16=37
Exploring Operation: 50-21=29, Resulting Numbers: [16, 29]
Generated Node #0,0,3: 45:[16, 29] Operation: 50-21=29
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 45:[50, 5], Operations: ['79-29=50', '21-16=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[21, 29, 79, 16], Operations: []
Exploring Operation: 79-29=50, Resulting Numbers: [21, 16, 50]
Generated Node #0,0: 45:[21, 16, 50] Operation: 79-29=50
Moving to Node #0,0
Current State: 45:[21, 16, 50], Operations: ['79-29=50']
Exploring Operation: 21-16=5, Resulting Numbers: [50, 5]
Generated Node #0,0,1: 45:[50, 5] Operation: 21-16=5
Moving to Node #0,0,1
Current State: 45:[50, 5], Operations: ['79-29=50', '21-16=5']
Exploring Operation: 50-5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
16,
9,
8,
21
] | 49 | [
"21-16=5",
"8*5=40",
"9+40=49"
] | Current State: 49:[16, 9, 8, 21], Operations: []
Exploring Operation: 21-16=5, Resulting Numbers: [9, 8, 5]
Generated Node #2: [9, 8, 5] from Operation: 21-16=5
Current State: 49:[9, 8, 5], Operations: ['21-16=5']
Exploring Operation: 8*5=40, Resulting Numbers: [9, 40]
Generated Node #3: [9, 40] from Operation: 8*5=40
Current State: 49:[9, 40], Operations: ['21-16=5', '8*5=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[16, 9, 8, 21], Operations: []
Exploring Operation: 16+21=37, Resulting Numbers: [9, 8, 37]
Generated Node #0,0: 49:[9, 8, 37] Operation: 16+21=37
Exploring Operation: 16-9=7, Resulting Numbers: [8, 21, 7]
Generated Node #0,1: 49:[8, 21, 7] Operation: 16-9=7
Exploring Operation: 21-9=12, Resulting Numbers: [16, 8, 12]
Generated Node #0,2: 49:[16, 8, 12] Operation: 21-9=12
Exploring Operation: 21-16=5, Resulting Numbers: [9, 8, 5]
Generated Node #0,3: 49:[9, 8, 5] Operation: 21-16=5
Start Sub Search at level 1: Moving to Node #0,3
Current State: 49:[9, 8, 5], Operations: ['21-16=5']
Exploring Operation: 9*5=45, Resulting Numbers: [8, 45]
Generated Node #0,3,0: 49:[8, 45] Operation: 9*5=45
Exploring Operation: 8-5=3, Resulting Numbers: [9, 3]
Generated Node #0,3,1: 49:[9, 3] Operation: 8-5=3
Exploring Operation: 9-5=4, Resulting Numbers: [8, 4]
Generated Node #0,3,2: 49:[8, 4] Operation: 9-5=4
Exploring Operation: 9-8=1, Resulting Numbers: [5, 1]
Generated Node #0,3,3: 49:[5, 1] Operation: 9-8=1
Moving to Node #0,3,2
Current State: 49:[8, 4], Operations: ['21-16=5', '9-5=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Moving to Node #0,3,0
Current State: 49:[8, 45], Operations: ['21-16=5', '9*5=45']
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,49 unequal: No Solution
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,49 unequal: No Solution
Moving to Node #0,3,1
Current State: 49:[9, 3], Operations: ['21-16=5', '8-5=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,49 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,49 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[5, 1], Operations: ['21-16=5', '9-8=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[9, 8, 37], Operations: ['16+21=37']
Exploring Operation: 9-8=1, Resulting Numbers: [37, 1]
Generated Node #0,0,0: 49:[37, 1] Operation: 9-8=1
Exploring Operation: 9+37=46, Resulting Numbers: [8, 46]
Generated Node #0,0,1: 49:[8, 46] Operation: 9+37=46
Exploring Operation: 8+37=45, Resulting Numbers: [9, 45]
Generated Node #0,0,2: 49:[9, 45] Operation: 8+37=45
Exploring Operation: 9+8=17, Resulting Numbers: [37, 17]
Generated Node #0,0,3: 49:[37, 17] Operation: 9+8=17
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 49:[8, 46], Operations: ['16+21=37', '9+37=46']
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,49 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 49:[9, 45], Operations: ['16+21=37', '8+37=45']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 9*45=405, Resulting Numbers: [405]
405,49 unequal: No Solution
Exploring Operation: 9+45=54, Resulting Numbers: [54]
54,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 49:[37, 1], Operations: ['16+21=37', '9-8=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,49 unequal: No Solution
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,49 unequal: No Solution
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 49:[37, 17], Operations: ['16+21=37', '9+8=17']
Exploring Operation: 37+17=54, Resulting Numbers: [54]
54,49 unequal: No Solution
Exploring Operation: 37*17=629, Resulting Numbers: [629]
629,49 unequal: No Solution
Exploring Operation: 37-17=20, Resulting Numbers: [20]
20,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 49:[8, 21, 7], Operations: ['16-9=7']
Exploring Operation: 8+21=29, Resulting Numbers: [7, 29]
Generated Node #0,1,0: 49:[7, 29] Operation: 8+21=29
Exploring Operation: 21-7=14, Resulting Numbers: [8, 14]
Generated Node #0,1,1: 49:[8, 14] Operation: 21-7=14
Exploring Operation: 21/7=3, Resulting Numbers: [8, 3]
Generated Node #0,1,2: 49:[8, 3] Operation: 21/7=3
Exploring Operation: 21-8=13, Resulting Numbers: [7, 13]
Generated Node #0,1,3: 49:[7, 13] Operation: 21-8=13
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 49:[8, 3], Operations: ['16-9=7', '21/7=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,49 unequal: No Solution
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 49:[7, 13], Operations: ['16-9=7', '21-8=13']
Exploring Operation: 13-7=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 7*13=91, Resulting Numbers: [91]
91,49 unequal: No Solution
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 49:[8, 14], Operations: ['16-9=7', '21-7=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,49 unequal: No Solution
Exploring Operation: 8*14=112, Resulting Numbers: [112]
112,49 unequal: No Solution
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 49:[7, 29], Operations: ['16-9=7', '8+21=29']
Exploring Operation: 7+29=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 7*29=203, Resulting Numbers: [203]
203,49 unequal: No Solution
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 49:[16, 8, 12], Operations: ['21-9=12']
Exploring Operation: 16-12=4, Resulting Numbers: [8, 4]
Generated Node #0,2,0: 49:[8, 4] Operation: 16-12=4
Exploring Operation: 16-8=8, Resulting Numbers: [12, 8]
Generated Node #0,2,1: 49:[12, 8] Operation: 16-8=8
Exploring Operation: 16/8=2, Resulting Numbers: [12, 2]
Generated Node #0,2,2: 49:[12, 2] Operation: 16/8=2
Exploring Operation: 12-8=4, Resulting Numbers: [16, 4]
Generated Node #0,2,3: 49:[16, 4] Operation: 12-8=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 49:[8, 4], Operations: ['21-9=12', '16-12=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,49 unequal: No Solution
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,49 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 49:[12, 8], Operations: ['21-9=12', '16-8=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,49 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 49:[12, 2], Operations: ['21-9=12', '16/8=2']
Exploring Operation: 12-2=10, Resulting Numbers: [10]
10,49 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,49 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,49 unequal: No Solution
Exploring Operation: 12+2=14, Resulting Numbers: [14]
14,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 49:[16, 4], Operations: ['21-9=12', '12-8=4']
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,49 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,49 unequal: No Solution
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,49 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
67,
88,
99
] | 53 | [
"67+67=134",
"88+99=187",
"187-134=53"
] | Current State: 53:[67, 67, 88, 99], Operations: []
Exploring Operation: 67+67=134, Resulting Numbers: [88, 99, 134]
Generated Node #2: [88, 99, 134] from Operation: 67+67=134
Current State: 53:[88, 99, 134], Operations: ['67+67=134']
Exploring Operation: 88+99=187, Resulting Numbers: [134, 187]
Generated Node #3: [134, 187] from Operation: 88+99=187
Current State: 53:[134, 187], Operations: ['67+67=134', '88+99=187']
Exploring Operation: 187-134=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[67, 67, 88, 99], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [67, 88, 32]
Generated Node #0,0: 53:[67, 88, 32] Operation: 99-67=32
Exploring Operation: 99-67=32, Resulting Numbers: [67, 88, 32]
Generated Node #0,1: 53:[67, 88, 32] Operation: 99-67=32
Exploring Operation: 88-67=21, Resulting Numbers: [67, 99, 21]
Generated Node #0,2: 53:[67, 99, 21] Operation: 88-67=21
Exploring Operation: 99-88=11, Resulting Numbers: [67, 67, 11]
Generated Node #0,3: 53:[67, 67, 11] Operation: 99-88=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[67, 88, 32], Operations: ['99-67=32']
Exploring Operation: 67+32=99, Resulting Numbers: [88, 99]
Generated Node #0,0,0: 53:[88, 99] Operation: 67+32=99
Exploring Operation: 88-32=56, Resulting Numbers: [67, 56]
Generated Node #0,0,1: 53:[67, 56] Operation: 88-32=56
Exploring Operation: 88-67=21, Resulting Numbers: [32, 21]
Generated Node #0,0,2: 53:[32, 21] Operation: 88-67=21
Exploring Operation: 67-32=35, Resulting Numbers: [88, 35]
Generated Node #0,0,3: 53:[88, 35] Operation: 67-32=35
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[67, 56], Operations: ['99-67=32', '88-32=56']
Exploring Operation: 67+56=123, Resulting Numbers: [123]
123,53 unequal: No Solution
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 67*56=3752, Resulting Numbers: [3752]
3752,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[32, 21], Operations: ['99-67=32', '88-67=21']
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 32*21=672, Resulting Numbers: [672]
672,53 unequal: No Solution
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[67, 67, 88, 99], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [67, 88, 32]
Generated Node #0,0: 53:[67, 88, 32] Operation: 99-67=32
Moving to Node #0,0
Current State: 53:[67, 88, 32], Operations: ['99-67=32']
Exploring Operation: 88-67=21, Resulting Numbers: [32, 21]
Generated Node #0,0,2: 53:[32, 21] Operation: 88-67=21
Moving to Node #0,0,2
Current State: 53:[32, 21], Operations: ['99-67=32', '88-67=21']
Exploring Operation: 32+21=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
36,
40,
12,
38
] | 30 | [
"40-36=4",
"38-12=26",
"4+26=30"
] | Current State: 30:[36, 40, 12, 38], Operations: []
Exploring Operation: 40-36=4, Resulting Numbers: [12, 38, 4]
Generated Node #2: [12, 38, 4] from Operation: 40-36=4
Current State: 30:[12, 38, 4], Operations: ['40-36=4']
Exploring Operation: 38-12=26, Resulting Numbers: [4, 26]
Generated Node #3: [4, 26] from Operation: 38-12=26
Current State: 30:[4, 26], Operations: ['40-36=4', '38-12=26']
Exploring Operation: 4+26=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[36, 40, 12, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [36, 12, 2]
Generated Node #0,0: 30:[36, 12, 2] Operation: 40-38=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[36, 12, 2], Operations: ['40-38=2']
Exploring Operation: 36/12=3, Resulting Numbers: [2, 3]
Generated Node #0,0,0: 30:[2, 3] Operation: 36/12=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[2, 3], Operations: ['40-38=2', '36/12=3']
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,30 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_1 | sum_heuristic |
[
5,
25,
57,
55
] | 41 | [
"25+55=80",
"80/5=16",
"57-16=41"
] | Current State: 41:[5, 25, 57, 55], Operations: []
Exploring Operation: 25+55=80, Resulting Numbers: [5, 57, 80]
Generated Node #2: [5, 57, 80] from Operation: 25+55=80
Current State: 41:[5, 57, 80], Operations: ['25+55=80']
Exploring Operation: 80/5=16, Resulting Numbers: [57, 16]
Generated Node #3: [57, 16] from Operation: 80/5=16
Current State: 41:[57, 16], Operations: ['25+55=80', '80/5=16']
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[5, 25, 57, 55], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [57, 55, 20]
Generated Node #0,0: 41:[57, 55, 20] Operation: 25-5=20
Exploring Operation: 5+25=30, Resulting Numbers: [57, 55, 30]
Generated Node #0,1: 41:[57, 55, 30] Operation: 5+25=30
Exploring Operation: 57-5=52, Resulting Numbers: [25, 55, 52]
Generated Node #0,2: 41:[25, 55, 52] Operation: 57-5=52
Exploring Operation: 55-5=50, Resulting Numbers: [25, 57, 50]
Generated Node #0,3: 41:[25, 57, 50] Operation: 55-5=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[57, 55, 30], Operations: ['5+25=30']
Exploring Operation: 55-30=25, Resulting Numbers: [57, 25]
Generated Node #0,1,0: 41:[57, 25] Operation: 55-30=25
Exploring Operation: 57-55=2, Resulting Numbers: [30, 2]
Generated Node #0,1,1: 41:[30, 2] Operation: 57-55=2
Exploring Operation: 57-30=27, Resulting Numbers: [55, 27]
Generated Node #0,1,2: 41:[55, 27] Operation: 57-30=27
Exploring Operation: 57+30=87, Resulting Numbers: [55, 87]
Generated Node #0,1,3: 41:[55, 87] Operation: 57+30=87
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[55, 27], Operations: ['5+25=30', '57-30=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,41 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,41 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 #0,1,0
Current State: 41:[57, 25], Operations: ['5+25=30', '55-30=25']
Exploring Operation: 57*25=1425, Resulting Numbers: [1425]
1425,41 unequal: No Solution
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,41 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 #0,1,1
Current State: 41:[30, 2], Operations: ['5+25=30', '57-55=2']
Exploring Operation: 30+2=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,41 unequal: No Solution
Exploring Operation: 30*2=60, Resulting Numbers: [60]
60,41 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 #0,1,3
Current State: 41:[55, 87], Operations: ['5+25=30', '57+30=87']
Exploring Operation: 55*87=4785, Resulting Numbers: [4785]
4785,41 unequal: No Solution
Exploring Operation: 55+87=142, Resulting Numbers: [142]
142,41 unequal: No Solution
Exploring Operation: 87-55=32, Resulting Numbers: [32]
32,41 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 #0,2
Current State: 41:[25, 55, 52], Operations: ['57-5=52']
Exploring Operation: 52-25=27, Resulting Numbers: [55, 27]
Generated Node #0,2,0: 41:[55, 27] Operation: 52-25=27
Exploring Operation: 55-25=30, Resulting Numbers: [52, 30]
Generated Node #0,2,1: 41:[52, 30] Operation: 55-25=30
Exploring Operation: 25+55=80, Resulting Numbers: [52, 80]
Generated Node #0,2,2: 41:[52, 80] Operation: 25+55=80
Exploring Operation: 25+52=77, Resulting Numbers: [55, 77]
Generated Node #0,2,3: 41:[55, 77] Operation: 25+52=77
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[52, 30], Operations: ['57-5=52', '55-25=30']
Exploring Operation: 52*30=1560, Resulting Numbers: [1560]
1560,41 unequal: No Solution
Exploring Operation: 52-30=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 52+30=82, Resulting Numbers: [82]
82,41 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 #0,2,0
Current State: 41:[55, 27], Operations: ['57-5=52', '52-25=27']
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 55*27=1485, Resulting Numbers: [1485]
1485,41 unequal: No Solution
Exploring Operation: 55+27=82, Resulting Numbers: [82]
82,41 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 #0,2,2
Current State: 41:[52, 80], Operations: ['57-5=52', '25+55=80']
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,41 unequal: No Solution
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,41 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 #0,2,3
Current State: 41:[55, 77], Operations: ['57-5=52', '25+52=77']
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,41 unequal: No Solution
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,41 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 #0,3
Current State: 41:[25, 57, 50], Operations: ['55-5=50']
Exploring Operation: 25+57=82, Resulting Numbers: [50, 82]
Generated Node #0,3,0: 41:[50, 82] Operation: 25+57=82
Exploring Operation: 57-25=32, Resulting Numbers: [50, 32]
Generated Node #0,3,1: 41:[50, 32] Operation: 57-25=32
Exploring Operation: 50-25=25, Resulting Numbers: [57, 25]
Generated Node #0,3,2: 41:[57, 25] Operation: 50-25=25
Exploring Operation: 25+50=75, Resulting Numbers: [57, 75]
Generated Node #0,3,3: 41:[57, 75] Operation: 25+50=75
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 41:[50, 32], Operations: ['55-5=50', '57-25=32']
Exploring Operation: 50+32=82, Resulting Numbers: [82]
82,41 unequal: No Solution
Exploring Operation: 50*32=1600, Resulting Numbers: [1600]
1600,41 unequal: No Solution
Exploring Operation: 50-32=18, Resulting Numbers: [18]
18,41 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 #0,3,2
Current State: 41:[57, 25], Operations: ['55-5=50', '50-25=25']
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,41 unequal: No Solution
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 57*25=1425, Resulting Numbers: [1425]
1425,41 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 #0,3,0
Current State: 41:[50, 82], Operations: ['55-5=50', '25+57=82']
Exploring Operation: 50*82=4100, Resulting Numbers: [4100]
4100,41 unequal: No Solution
Exploring Operation: 82-50=32, Resulting Numbers: [32]
32,41 unequal: No Solution
Exploring Operation: 50+82=132, Resulting Numbers: [132]
132,41 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 #0,3,3
Current State: 41:[57, 75], Operations: ['55-5=50', '25+50=75']
Exploring Operation: 57*75=4275, Resulting Numbers: [4275]
4275,41 unequal: No Solution
Exploring Operation: 75-57=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 57+75=132, Resulting Numbers: [132]
132,41 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 #0,0
Current State: 41:[57, 55, 20], Operations: ['25-5=20']
Exploring Operation: 55-20=35, Resulting Numbers: [57, 35]
Generated Node #0,0,0: 41:[57, 35] Operation: 55-20=35
Exploring Operation: 55+20=75, Resulting Numbers: [57, 75]
Generated Node #0,0,1: 41:[57, 75] Operation: 55+20=75
Exploring Operation: 57-20=37, Resulting Numbers: [55, 37]
Generated Node #0,0,2: 41:[55, 37] Operation: 57-20=37
Exploring Operation: 57+20=77, Resulting Numbers: [55, 77]
Generated Node #0,0,3: 41:[55, 77] Operation: 57+20=77
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[55, 37], Operations: ['25-5=20', '57-20=37']
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 55*37=2035, Resulting Numbers: [2035]
2035,41 unequal: No Solution
Exploring Operation: 55+37=92, Resulting Numbers: [92]
92,41 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 #0,0,0
Current State: 41:[57, 35], Operations: ['25-5=20', '55-20=35']
Exploring Operation: 57*35=1995, Resulting Numbers: [1995]
1995,41 unequal: No Solution
Exploring Operation: 57+35=92, Resulting Numbers: [92]
92,41 unequal: No Solution
Exploring Operation: 57-35=22, Resulting Numbers: [22]
22,41 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:[57, 75], Operations: ['25-5=20', '55+20=75']
Exploring Operation: 57*75=4275, Resulting Numbers: [4275]
4275,41 unequal: No Solution
Exploring Operation: 57+75=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 75-57=18, Resulting Numbers: [18]
18,41 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 #0,0,3
Current State: 41:[55, 77], Operations: ['25-5=20', '57+20=77']
Exploring Operation: 55+77=132, Resulting Numbers: [132]
132,41 unequal: No Solution
Exploring Operation: 77-55=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 55*77=4235, Resulting Numbers: [4235]
4235,41 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
No solution found.
| 0 | hs_4 | sum_heuristic |
[
21,
88,
32,
79
] | 99 | [
"32-21=11",
"88-79=9",
"11*9=99"
] | Current State: 99:[21, 88, 32, 79], Operations: []
Exploring Operation: 32-21=11, Resulting Numbers: [88, 79, 11]
Generated Node #2: [88, 79, 11] from Operation: 32-21=11
Current State: 99:[88, 79, 11], Operations: ['32-21=11']
Exploring Operation: 88-79=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 88-79=9
Current State: 99:[11, 9], Operations: ['32-21=11', '88-79=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[21, 88, 32, 79], Operations: []
Exploring Operation: 21+88=109, Resulting Numbers: [32, 79, 109]
Generated Node #0,0: 99:[32, 79, 109] Operation: 21+88=109
Exploring Operation: 21+79=100, Resulting Numbers: [88, 32, 100]
Generated Node #0,1: 99:[88, 32, 100] Operation: 21+79=100
Exploring Operation: 88-79=9, Resulting Numbers: [21, 32, 9]
Generated Node #0,2: 99:[21, 32, 9] Operation: 88-79=9
Moving to Node #0,2
Current State: 99:[21, 32, 9], Operations: ['88-79=9']
Exploring Operation: 32-21=11, Resulting Numbers: [9, 11]
Generated Node #0,2,0: 99:[9, 11] Operation: 32-21=11
Exploring Operation: 21-9=12, Resulting Numbers: [32, 12]
Generated Node #0,2,1: 99:[32, 12] Operation: 21-9=12
Exploring Operation: 21+9=30, Resulting Numbers: [32, 30]
Generated Node #0,2,2: 99:[32, 30] Operation: 21+9=30
Moving to Node #0,1
Current State: 99:[88, 32, 100], Operations: ['21+79=100']
Exploring Operation: 88+32=120, Resulting Numbers: [100, 120]
Generated Node #0,1,0: 99:[100, 120] Operation: 88+32=120
Exploring Operation: 100-88=12, Resulting Numbers: [32, 12]
Generated Node #0,1,1: 99:[32, 12] Operation: 100-88=12
Exploring Operation: 88-32=56, Resulting Numbers: [100, 56]
Generated Node #0,1,2: 99:[100, 56] Operation: 88-32=56
Moving to Node #0,0
Current State: 99:[32, 79, 109], Operations: ['21+88=109']
Exploring Operation: 32+79=111, Resulting Numbers: [109, 111]
Generated Node #0,0,0: 99:[109, 111] Operation: 32+79=111
Exploring Operation: 79-32=47, Resulting Numbers: [109, 47]
Generated Node #0,0,1: 99:[109, 47] Operation: 79-32=47
Exploring Operation: 109-79=30, Resulting Numbers: [32, 30]
Generated Node #0,0,2: 99:[32, 30] Operation: 109-79=30
Moving to Node #0,2,0
Current State: 99:[9, 11], Operations: ['88-79=9', '32-21=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,99 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[21, 88, 32, 79], Operations: []
Exploring Operation: 88-79=9, Resulting Numbers: [21, 32, 9]
Generated Node #0,2: 99:[21, 32, 9] Operation: 88-79=9
Moving to Node #0,2
Current State: 99:[21, 32, 9], Operations: ['88-79=9']
Exploring Operation: 32-21=11, Resulting Numbers: [9, 11]
Generated Node #0,2,0: 99:[9, 11] Operation: 32-21=11
Moving to Node #0,2,0
Current State: 99:[9, 11], Operations: ['88-79=9', '32-21=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 0.984375 | hs_3 | sum_heuristic |
[
24,
21,
20,
7
] | 36 | [
"21*20=420",
"420/7=60",
"60-24=36"
] | Current State: 36:[24, 21, 20, 7], Operations: []
Exploring Operation: 21*20=420, Resulting Numbers: [24, 7, 420]
Generated Node #2: [24, 7, 420] from Operation: 21*20=420
Current State: 36:[24, 7, 420], Operations: ['21*20=420']
Exploring Operation: 420/7=60, Resulting Numbers: [24, 60]
Generated Node #3: [24, 60] from Operation: 420/7=60
Current State: 36:[24, 60], Operations: ['21*20=420', '420/7=60']
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[24, 21, 20, 7], Operations: []
Exploring Operation: 24-7=17, Resulting Numbers: [21, 20, 17]
Generated Node #0,0: 36:[21, 20, 17] Operation: 24-7=17
Exploring Operation: 24-20=4, Resulting Numbers: [21, 7, 4]
Generated Node #0,1: 36:[21, 7, 4] Operation: 24-20=4
Exploring Operation: 24-21=3, Resulting Numbers: [20, 7, 3]
Generated Node #0,2: 36:[20, 7, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[20, 7, 3], Operations: ['24-21=3']
Exploring Operation: 20-7=13, Resulting Numbers: [3, 13]
Generated Node #0,2,0: 36:[3, 13] Operation: 20-7=13
Exploring Operation: 20-3=17, Resulting Numbers: [7, 17]
Generated Node #0,2,1: 36:[7, 17] Operation: 20-3=17
Exploring Operation: 7-3=4, Resulting Numbers: [20, 4]
Generated Node #0,2,2: 36:[20, 4] Operation: 7-3=4
Moving to Node #0,2,0
Current State: 36:[3, 13], Operations: ['24-21=3', '20-7=13']
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,36 unequal: No Solution
Moving to Node #0,2,1
Current State: 36:[7, 17], Operations: ['24-21=3', '20-3=17']
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,36 unequal: No Solution
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Moving to Node #0,2,2
Current State: 36:[20, 4], Operations: ['24-21=3', '7-3=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,36 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 36:[21, 7, 4], Operations: ['24-20=4']
Exploring Operation: 21-4=17, Resulting Numbers: [7, 17]
Generated Node #0,1,0: 36:[7, 17] Operation: 21-4=17
Exploring Operation: 21/7=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 36:[4, 3] Operation: 21/7=3
Exploring Operation: 21-7=14, Resulting Numbers: [4, 14]
Generated Node #0,1,2: 36:[4, 14] Operation: 21-7=14
Moving to Node #0,1,1
Current State: 36:[4, 3], Operations: ['24-20=4', '21/7=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,36 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,36 unequal: No Solution
Moving to Node #0,1,0
Current State: 36:[7, 17], Operations: ['24-20=4', '21-4=17']
Exploring Operation: 7+17=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 7*17=119, Resulting Numbers: [119]
119,36 unequal: No Solution
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Moving to Node #0,1,2
Current State: 36:[4, 14], Operations: ['24-20=4', '21-7=14']
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,36 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,36 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 36:[21, 20, 17], Operations: ['24-7=17']
Exploring Operation: 21-20=1, Resulting Numbers: [17, 1]
Generated Node #0,0,0: 36:[17, 1] Operation: 21-20=1
Exploring Operation: 21-17=4, Resulting Numbers: [20, 4]
Generated Node #0,0,1: 36:[20, 4] Operation: 21-17=4
Exploring Operation: 20-17=3, Resulting Numbers: [21, 3]
Generated Node #0,0,2: 36:[21, 3] Operation: 20-17=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 36:[17, 1], Operations: ['24-7=17', '21-20=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,36 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,36 unequal: No Solution
No 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: 36:[20, 4], Operations: ['24-7=17', '21-17=4']
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,36 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,36 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,36 unequal: No Solution
No 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: 36:[21, 3], Operations: ['24-7=17', '20-17=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,36 unequal: No Solution
Exploring Operation: 21/3=7, Resulting Numbers: [7]
7,36 unequal: No Solution
Exploring Operation: 21+3=24, Resulting Numbers: [24]
24,36 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 |
[
54,
7,
91,
3
] | 15 | [
"91/7=13",
"3*13=39",
"54-39=15"
] | Current State: 15:[54, 7, 91, 3], Operations: []
Exploring Operation: 91/7=13, Resulting Numbers: [54, 3, 13]
Generated Node #2: [54, 3, 13] from Operation: 91/7=13
Current State: 15:[54, 3, 13], Operations: ['91/7=13']
Exploring Operation: 3*13=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 3*13=39
Current State: 15:[54, 39], Operations: ['91/7=13', '3*13=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[54, 7, 91, 3], Operations: []
Exploring Operation: 91-54=37, Resulting Numbers: [7, 3, 37]
Generated Node #0,0: 15:[7, 3, 37] Operation: 91-54=37
Exploring Operation: 54/3=18, Resulting Numbers: [7, 91, 18]
Generated Node #0,1: 15:[7, 91, 18] Operation: 54/3=18
Exploring Operation: 91/7=13, Resulting Numbers: [54, 3, 13]
Generated Node #0,2: 15:[54, 3, 13] Operation: 91/7=13
Moving to Node #0,0
Current State: 15:[7, 3, 37], Operations: ['91-54=37']
Exploring Operation: 37-7=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 15:[3, 30] Operation: 37-7=30
Exploring Operation: 37-3=34, Resulting Numbers: [7, 34]
Generated Node #0,0,1: 15:[7, 34] Operation: 37-3=34
Exploring Operation: 7-3=4, Resulting Numbers: [37, 4]
Generated Node #0,0,2: 15:[37, 4] Operation: 7-3=4
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[3, 30], Operations: ['91-54=37', '37-7=30']
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[7, 34], Operations: ['91-54=37', '37-3=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 7*34=238, Resulting Numbers: [238]
238,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[37, 4], Operations: ['91-54=37', '7-3=4']
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,15 unequal: No Solution
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,15 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 15:[54, 3, 13], Operations: ['91/7=13']
Exploring Operation: 54-13=41, Resulting Numbers: [3, 41]
Generated Node #0,2,0: 15:[3, 41] Operation: 54-13=41
Exploring Operation: 54-3=51, Resulting Numbers: [13, 51]
Generated Node #0,2,1: 15:[13, 51] Operation: 54-3=51
Exploring Operation: 54/3=18, Resulting Numbers: [13, 18]
Generated Node #0,2,2: 15:[13, 18] Operation: 54/3=18
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[13, 18], Operations: ['91/7=13', '54/3=18']
Exploring Operation: 13*18=234, Resulting Numbers: [234]
234,15 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 13+18=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[3, 41], Operations: ['91/7=13', '54-13=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,15 unequal: No Solution
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[13, 51], Operations: ['91/7=13', '54-3=51']
Exploring Operation: 13*51=663, Resulting Numbers: [663]
663,15 unequal: No Solution
Exploring Operation: 13+51=64, Resulting Numbers: [64]
64,15 unequal: No Solution
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[7, 91, 18], Operations: ['54/3=18']
Exploring Operation: 91/7=13, Resulting Numbers: [18, 13]
Generated Node #0,1,0: 15:[18, 13] Operation: 91/7=13
Exploring Operation: 91-18=73, Resulting Numbers: [7, 73]
Generated Node #0,1,1: 15:[7, 73] Operation: 91-18=73
Exploring Operation: 91-7=84, Resulting Numbers: [18, 84]
Generated Node #0,1,2: 15:[18, 84] Operation: 91-7=84
Moving to Node #0,1,0
Current State: 15:[18, 13], Operations: ['54/3=18', '91/7=13']
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,15 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[7, 73], Operations: ['54/3=18', '91-18=73']
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 7*73=511, Resulting Numbers: [511]
511,15 unequal: No Solution
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[18, 84], Operations: ['54/3=18', '91-7=84']
Exploring Operation: 84-18=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 18*84=1512, Resulting Numbers: [1512]
1512,15 unequal: No Solution
Exploring Operation: 18+84=102, Resulting Numbers: [102]
102,15 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
15,
96,
36,
64
] | 24 | [
"15*96=1440",
"1440/36=40",
"64-40=24"
] | Current State: 24:[15, 96, 36, 64], Operations: []
Exploring Operation: 15*96=1440, Resulting Numbers: [36, 64, 1440]
Generated Node #2: [36, 64, 1440] from Operation: 15*96=1440
Current State: 24:[36, 64, 1440], Operations: ['15*96=1440']
Exploring Operation: 1440/36=40, Resulting Numbers: [64, 40]
Generated Node #3: [64, 40] from Operation: 1440/36=40
Current State: 24:[64, 40], Operations: ['15*96=1440', '1440/36=40']
Exploring Operation: 64-40=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 | Current State: 24:[15, 96, 36, 64], Operations: []
Exploring Operation: 96-64=32, Resulting Numbers: [15, 36, 32]
Generated Node #0,0: 24:[15, 36, 32] Operation: 96-64=32
Moving to Node #0,0
Current State: 24:[15, 36, 32], Operations: ['96-64=32']
Exploring Operation: 36-32=4, Resulting Numbers: [15, 4]
Generated Node #0,0,0: 24:[15, 4] Operation: 36-32=4
Moving to Node #0,0,0
Current State: 24:[15, 4], Operations: ['96-64=32', '36-32=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,24 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
12,
33,
46
] | 100 | [
"9+12=21",
"33+46=79",
"21+79=100"
] | Current State: 100:[9, 12, 33, 46], Operations: []
Exploring Operation: 9+12=21, Resulting Numbers: [33, 46, 21]
Generated Node #2: [33, 46, 21] from Operation: 9+12=21
Current State: 100:[33, 46, 21], Operations: ['9+12=21']
Exploring Operation: 33+46=79, Resulting Numbers: [21, 79]
Generated Node #3: [21, 79] from Operation: 33+46=79
Current State: 100:[21, 79], Operations: ['9+12=21', '33+46=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[9, 12, 33, 46], Operations: []
Exploring Operation: 33-12=21, Resulting Numbers: [9, 46, 21]
Generated Node #0,0: 100:[9, 46, 21] Operation: 33-12=21
Moving to Node #0,0
Current State: 100:[9, 46, 21], Operations: ['33-12=21']
Exploring Operation: 46-21=25, Resulting Numbers: [9, 25]
Generated Node #0,0,0: 100:[9, 25] Operation: 46-21=25
Moving to Node #0,0,0
Current State: 100:[9, 25], Operations: ['33-12=21', '46-21=25']
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,100 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
34,
64,
37,
90
] | 40 | [
"64-34=30",
"90/30=3",
"37+3=40"
] | Current State: 40:[34, 64, 37, 90], Operations: []
Exploring Operation: 64-34=30, Resulting Numbers: [37, 90, 30]
Generated Node #2: [37, 90, 30] from Operation: 64-34=30
Current State: 40:[37, 90, 30], Operations: ['64-34=30']
Exploring Operation: 90/30=3, Resulting Numbers: [37, 3]
Generated Node #3: [37, 3] from Operation: 90/30=3
Current State: 40:[37, 3], Operations: ['64-34=30', '90/30=3']
Exploring Operation: 37+3=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[34, 64, 37, 90], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [34, 37, 26]
Generated Node #0,0: 40:[34, 37, 26] Operation: 90-64=26
Exploring Operation: 90-34=56, Resulting Numbers: [64, 37, 56]
Generated Node #0,1: 40:[64, 37, 56] Operation: 90-34=56
Moving to Node #0,0
Current State: 40:[34, 37, 26], Operations: ['90-64=26']
Exploring Operation: 37-34=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 40:[26, 3] Operation: 37-34=3
Exploring Operation: 34-26=8, Resulting Numbers: [37, 8]
Generated Node #0,0,1: 40:[37, 8] Operation: 34-26=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 40:[37, 8], Operations: ['90-64=26', '34-26=8']
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,40 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 #0,0,0
Current State: 40:[26, 3], Operations: ['90-64=26', '37-34=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,40 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,40 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: 40:[64, 37, 56], Operations: ['90-34=56']
Exploring Operation: 64-56=8, Resulting Numbers: [37, 8]
Generated Node #0,1,0: 40:[37, 8] Operation: 64-56=8
Exploring Operation: 64-37=27, Resulting Numbers: [56, 27]
Generated Node #0,1,1: 40:[56, 27] Operation: 64-37=27
Moving to Node #0,1,0
Current State: 40:[37, 8], Operations: ['90-34=56', '64-56=8']
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,40 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,40 unequal: No Solution
Moving to Node #0,1,1
Current State: 40:[56, 27], Operations: ['90-34=56', '64-37=27']
Exploring Operation: 56+27=83, Resulting Numbers: [83]
83,40 unequal: No Solution
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,40 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
71,
38,
46,
18
] | 45 | [
"71+38=109",
"46+18=64",
"109-64=45"
] | Current State: 45:[71, 38, 46, 18], Operations: []
Exploring Operation: 71+38=109, Resulting Numbers: [46, 18, 109]
Generated Node #2: [46, 18, 109] from Operation: 71+38=109
Current State: 45:[46, 18, 109], Operations: ['71+38=109']
Exploring Operation: 46+18=64, Resulting Numbers: [109, 64]
Generated Node #3: [109, 64] from Operation: 46+18=64
Current State: 45:[109, 64], Operations: ['71+38=109', '46+18=64']
Exploring Operation: 109-64=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[71, 38, 46, 18], Operations: []
Exploring Operation: 71-38=33, Resulting Numbers: [46, 18, 33]
Generated Node #0,0: 45:[46, 18, 33] Operation: 71-38=33
Exploring Operation: 46-38=8, Resulting Numbers: [71, 18, 8]
Generated Node #0,1: 45:[71, 18, 8] Operation: 46-38=8
Exploring Operation: 71-46=25, Resulting Numbers: [38, 18, 25]
Generated Node #0,2: 45:[38, 18, 25] Operation: 71-46=25
Exploring Operation: 38-18=20, Resulting Numbers: [71, 46, 20]
Generated Node #0,3: 45:[71, 46, 20] Operation: 38-18=20
Exploring Operation: 71-18=53, Resulting Numbers: [38, 46, 53]
Generated Node #0,4: 45:[38, 46, 53] Operation: 71-18=53
Moving to Node #0,0
Current State: 45:[46, 18, 33], Operations: ['71-38=33']
Exploring Operation: 46-18=28, Resulting Numbers: [33, 28]
Generated Node #0,0,0: 45:[33, 28] Operation: 46-18=28
Exploring Operation: 18+33=51, Resulting Numbers: [46, 51]
Generated Node #0,0,1: 45:[46, 51] Operation: 18+33=51
Exploring Operation: 46-33=13, Resulting Numbers: [18, 13]
Generated Node #0,0,2: 45:[18, 13] Operation: 46-33=13
Exploring Operation: 33-18=15, Resulting Numbers: [46, 15]
Generated Node #0,0,3: 45:[46, 15] Operation: 33-18=15
Exploring Operation: 46+18=64, Resulting Numbers: [33, 64]
Generated Node #0,0,4: 45:[33, 64] Operation: 46+18=64
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 45:[46, 15], Operations: ['71-38=33', '33-18=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,45 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,45 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 #0,0,2
Current State: 45:[18, 13], Operations: ['71-38=33', '46-33=13']
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,45 unequal: No Solution
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,45 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 #0,0,1
Current State: 45:[46, 51], Operations: ['71-38=33', '18+33=51']
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 46*51=2346, Resulting Numbers: [2346]
2346,45 unequal: No Solution
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 45:[33, 28], Operations: ['71-38=33', '46-18=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,45 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,45 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 #0,0,4
Current State: 45:[33, 64], Operations: ['71-38=33', '46+18=64']
Exploring Operation: 64-33=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 33+64=97, Resulting Numbers: [97]
97,45 unequal: No Solution
Exploring Operation: 33*64=2112, Resulting Numbers: [2112]
2112,45 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: 45:[38, 46, 53], Operations: ['71-18=53']
Exploring Operation: 53-38=15, Resulting Numbers: [46, 15]
Generated Node #0,4,0: 45:[46, 15] Operation: 53-38=15
Exploring Operation: 46-38=8, Resulting Numbers: [53, 8]
Generated Node #0,4,1: 45:[53, 8] Operation: 46-38=8
Exploring Operation: 38+46=84, Resulting Numbers: [53, 84]
Generated Node #0,4,2: 45:[53, 84] Operation: 38+46=84
Exploring Operation: 53-46=7, Resulting Numbers: [38, 7]
Generated Node #0,4,3: 45:[38, 7] Operation: 53-46=7
Exploring Operation: 38+53=91, Resulting Numbers: [46, 91]
Generated Node #0,4,4: 45:[46, 91] Operation: 38+53=91
Moving to Node #0,2
Current State: 45:[38, 18, 25], Operations: ['71-46=25']
Exploring Operation: 18+25=43, Resulting Numbers: [38, 43]
Generated Node #0,2,0: 45:[38, 43] Operation: 18+25=43
Exploring Operation: 38-25=13, Resulting Numbers: [18, 13]
Generated Node #0,2,1: 45:[18, 13] Operation: 38-25=13
Exploring Operation: 25-18=7, Resulting Numbers: [38, 7]
Generated Node #0,2,2: 45:[38, 7] Operation: 25-18=7
Exploring Operation: 38-18=20, Resulting Numbers: [25, 20]
Generated Node #0,2,3: 45:[25, 20] Operation: 38-18=20
Exploring Operation: 38+18=56, Resulting Numbers: [25, 56]
Generated Node #0,2,4: 45:[25, 56] Operation: 38+18=56
Moving to Node #0,1
Current State: 45:[71, 18, 8], Operations: ['46-38=8']
Exploring Operation: 71+8=79, Resulting Numbers: [18, 79]
Generated Node #0,1,0: 45:[18, 79] Operation: 71+8=79
Exploring Operation: 71-18=53, Resulting Numbers: [8, 53]
Generated Node #0,1,1: 45:[8, 53] Operation: 71-18=53
Exploring Operation: 18-8=10, Resulting Numbers: [71, 10]
Generated Node #0,1,2: 45:[71, 10] Operation: 18-8=10
Exploring Operation: 71-8=63, Resulting Numbers: [18, 63]
Generated Node #0,1,3: 45:[18, 63] Operation: 71-8=63
Exploring Operation: 18+8=26, Resulting Numbers: [71, 26]
Generated Node #0,1,4: 45:[71, 26] Operation: 18+8=26
Moving to Node #0,3
Current State: 45:[71, 46, 20], Operations: ['38-18=20']
Exploring Operation: 46-20=26, Resulting Numbers: [71, 26]
Generated Node #0,3,0: 45:[71, 26] Operation: 46-20=26
Exploring Operation: 46+20=66, Resulting Numbers: [71, 66]
Generated Node #0,3,1: 45:[71, 66] Operation: 46+20=66
Exploring Operation: 71-46=25, Resulting Numbers: [20, 25]
Generated Node #0,3,2: 45:[20, 25] Operation: 71-46=25
Exploring Operation: 71-20=51, Resulting Numbers: [46, 51]
Generated Node #0,3,3: 45:[46, 51] Operation: 71-20=51
Exploring Operation: 71+20=91, Resulting Numbers: [46, 91]
Generated Node #0,3,4: 45:[46, 91] Operation: 71+20=91
Moving to Node #0,4,0
Current State: 45:[46, 15], Operations: ['71-18=53', '53-38=15']
Exploring Operation: 46-15=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 46*15=690, Resulting Numbers: [690]
690,45 unequal: No Solution
Exploring Operation: 46+15=61, Resulting Numbers: [61]
61,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[18, 13], Operations: ['71-46=25', '38-25=13']
Exploring Operation: 18-13=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 18+13=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 18*13=234, Resulting Numbers: [234]
234,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[46, 51], Operations: ['38-18=20', '71-20=51']
Exploring Operation: 46+51=97, Resulting Numbers: [97]
97,45 unequal: No Solution
Exploring Operation: 51-46=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 46*51=2346, Resulting Numbers: [2346]
2346,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[38, 43], Operations: ['71-46=25', '18+25=43']
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,45 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,45 unequal: No Solution
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,45 unequal: No Solution
Moving to Node #0,4,3
Current State: 45:[38, 7], Operations: ['71-18=53', '53-46=7']
Exploring Operation: 38*7=266, Resulting Numbers: [266]
266,45 unequal: No Solution
Exploring Operation: 38-7=31, Resulting Numbers: [31]
31,45 unequal: No Solution
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[71, 38, 46, 18], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [38, 46, 53]
Generated Node #0,4: 45:[38, 46, 53] Operation: 71-18=53
Moving to Node #0,4
Current State: 45:[38, 46, 53], Operations: ['71-18=53']
Exploring Operation: 53-46=7, Resulting Numbers: [38, 7]
Generated Node #0,4,3: 45:[38, 7] Operation: 53-46=7
Moving to Node #0,4,3
Current State: 45:[38, 7], Operations: ['71-18=53', '53-46=7']
Exploring Operation: 38+7=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.944444 | hs_5 | mult_heuristic |
[
14,
35,
85,
21
] | 84 | [
"35-14=21",
"21/21=1",
"85-1=84"
] | Current State: 84:[14, 35, 85, 21], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [85, 21, 21]
Generated Node #2: [85, 21, 21] from Operation: 35-14=21
Current State: 84:[85, 21, 21], Operations: ['35-14=21']
Exploring Operation: 21/21=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 21/21=1
Current State: 84:[85, 1], Operations: ['35-14=21', '21/21=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[14, 35, 85, 21], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [85, 21, 21]
Generated Node #0,0: 84:[85, 21, 21] Operation: 35-14=21
Exploring Operation: 35-21=14, Resulting Numbers: [14, 85, 14]
Generated Node #0,1: 84:[14, 85, 14] Operation: 35-21=14
Exploring Operation: 21-14=7, Resulting Numbers: [35, 85, 7]
Generated Node #0,2: 84:[35, 85, 7] Operation: 21-14=7
Exploring Operation: 14+35=49, Resulting Numbers: [85, 21, 49]
Generated Node #0,3: 84:[85, 21, 49] Operation: 14+35=49
Moving to Node #0,0
Current State: 84:[85, 21, 21], Operations: ['35-14=21']
Exploring Operation: 85-21=64, Resulting Numbers: [21, 64]
Generated Node #0,0,0: 84:[21, 64] Operation: 85-21=64
Exploring Operation: 21/21=1, Resulting Numbers: [85, 1]
Generated Node #0,0,1: 84:[85, 1] Operation: 21/21=1
Exploring Operation: 21+21=42, Resulting Numbers: [85, 42]
Generated Node #0,0,2: 84:[85, 42] Operation: 21+21=42
Exploring Operation: 21-21=0, Resulting Numbers: [85, 0]
Generated Node #0,0,3: 84:[85, 0] Operation: 21-21=0
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 84:[85, 42], Operations: ['35-14=21', '21+21=42']
Exploring Operation: 85-42=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 85+42=127, Resulting Numbers: [127]
127,84 unequal: No Solution
Exploring Operation: 85*42=3570, Resulting Numbers: [3570]
3570,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[85, 1], Operations: ['35-14=21', '21/21=1']
Exploring Operation: 85/1=85, Resulting Numbers: [85]
85,84 unequal: No Solution
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[14, 35, 85, 21], Operations: []
Exploring Operation: 35-14=21, Resulting Numbers: [85, 21, 21]
Generated Node #0,0: 84:[85, 21, 21] Operation: 35-14=21
Moving to Node #0,0
Current State: 84:[85, 21, 21], Operations: ['35-14=21']
Exploring Operation: 21/21=1, Resulting Numbers: [85, 1]
Generated Node #0,0,1: 84:[85, 1] Operation: 21/21=1
Moving to Node #0,0,1
Current State: 84:[85, 1], Operations: ['35-14=21', '21/21=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_4 | sum_heuristic |
[
85,
94,
38,
41
] | 87 | [
"85*41=3485",
"94*38=3572",
"3572-3485=87"
] | Current State: 87:[85, 94, 38, 41], Operations: []
Exploring Operation: 85*41=3485, Resulting Numbers: [94, 38, 3485]
Generated Node #2: [94, 38, 3485] from Operation: 85*41=3485
Current State: 87:[94, 38, 3485], Operations: ['85*41=3485']
Exploring Operation: 94*38=3572, Resulting Numbers: [3485, 3572]
Generated Node #3: [3485, 3572] from Operation: 94*38=3572
Current State: 87:[3485, 3572], Operations: ['85*41=3485', '94*38=3572']
Exploring Operation: 3572-3485=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[85, 94, 38, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [85, 94, 3]
Generated Node #0,0: 87:[85, 94, 3] Operation: 41-38=3
Moving to Node #0,0
Current State: 87:[85, 94, 3], Operations: ['41-38=3']
Exploring Operation: 94-85=9, Resulting Numbers: [3, 9]
Generated Node #0,0,0: 87:[3, 9] Operation: 94-85=9
Moving to Node #0,0,0
Current State: 87:[3, 9], Operations: ['41-38=3', '94-85=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
20,
27,
90
] | 45 | [
"20-15=5",
"27*5=135",
"135-90=45"
] | Current State: 45:[15, 20, 27, 90], Operations: []
Exploring Operation: 20-15=5, Resulting Numbers: [27, 90, 5]
Generated Node #2: [27, 90, 5] from Operation: 20-15=5
Current State: 45:[27, 90, 5], Operations: ['20-15=5']
Exploring Operation: 27*5=135, Resulting Numbers: [90, 135]
Generated Node #3: [90, 135] from Operation: 27*5=135
Current State: 45:[90, 135], Operations: ['20-15=5', '27*5=135']
Exploring Operation: 135-90=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[15, 20, 27, 90], Operations: []
Exploring Operation: 90-15=75, Resulting Numbers: [20, 27, 75]
Generated Node #0,0: 45:[20, 27, 75] Operation: 90-15=75
Exploring Operation: 90-20=70, Resulting Numbers: [15, 27, 70]
Generated Node #0,1: 45:[15, 27, 70] Operation: 90-20=70
Exploring Operation: 90-27=63, Resulting Numbers: [15, 20, 63]
Generated Node #0,2: 45:[15, 20, 63] Operation: 90-27=63
Exploring Operation: 90/15=6, Resulting Numbers: [20, 27, 6]
Generated Node #0,3: 45:[20, 27, 6] Operation: 90/15=6
Exploring Operation: 20+27=47, Resulting Numbers: [15, 90, 47]
Generated Node #0,4: 45:[15, 90, 47] Operation: 20+27=47
Start Sub Search at level 1: Moving to Node #0,3
Current State: 45:[20, 27, 6], Operations: ['90/15=6']
Exploring Operation: 27+6=33, Resulting Numbers: [20, 33]
Generated Node #0,3,0: 45:[20, 33] Operation: 27+6=33
Exploring Operation: 20+27=47, Resulting Numbers: [6, 47]
Generated Node #0,3,1: 45:[6, 47] Operation: 20+27=47
Exploring Operation: 27-20=7, Resulting Numbers: [6, 7]
Generated Node #0,3,2: 45:[6, 7] Operation: 27-20=7
Exploring Operation: 27-6=21, Resulting Numbers: [20, 21]
Generated Node #0,3,3: 45:[20, 21] Operation: 27-6=21
Exploring Operation: 20-6=14, Resulting Numbers: [27, 14]
Generated Node #0,3,4: 45:[27, 14] Operation: 20-6=14
Moving to Node #0,3,1
Current State: 45:[6, 47], Operations: ['90/15=6', '20+27=47']
Exploring Operation: 47-6=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 6*47=282, Resulting Numbers: [282]
282,45 unequal: No Solution
Exploring Operation: 6+47=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Moving to Node #0,3,2
Current State: 45:[6, 7], Operations: ['90/15=6', '27-20=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,45 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Moving to Node #0,3,3
Current State: 45:[20, 21], Operations: ['90/15=6', '27-6=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,45 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,45 unequal: No Solution
Moving to Node #0,3,4
Current State: 45:[27, 14], Operations: ['90/15=6', '20-6=14']
Exploring Operation: 27*14=378, Resulting Numbers: [378]
378,45 unequal: No Solution
Exploring Operation: 27-14=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 27+14=41, Resulting Numbers: [41]
41,45 unequal: No Solution
Moving to Node #0,3,0
Current State: 45:[20, 33], Operations: ['90/15=6', '27+6=33']
Exploring Operation: 20*33=660, Resulting Numbers: [660]
660,45 unequal: No Solution
Exploring Operation: 20+33=53, Resulting Numbers: [53]
53,45 unequal: No Solution
Exploring Operation: 33-20=13, Resulting Numbers: [13]
13,45 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
Current State: 45:[15, 20, 63], Operations: ['90-27=63']
Exploring Operation: 20-15=5, Resulting Numbers: [63, 5]
Generated Node #0,2,0: 45:[63, 5] Operation: 20-15=5
Exploring Operation: 15+63=78, Resulting Numbers: [20, 78]
Generated Node #0,2,1: 45:[20, 78] Operation: 15+63=78
Exploring Operation: 63-15=48, Resulting Numbers: [20, 48]
Generated Node #0,2,2: 45:[20, 48] Operation: 63-15=48
Exploring Operation: 15+20=35, Resulting Numbers: [63, 35]
Generated Node #0,2,3: 45:[63, 35] Operation: 15+20=35
Exploring Operation: 63-20=43, Resulting Numbers: [15, 43]
Generated Node #0,2,4: 45:[15, 43] Operation: 63-20=43
Moving to Node #0,2,4
Current State: 45:[15, 43], Operations: ['90-27=63', '63-20=43']
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 15*43=645, Resulting Numbers: [645]
645,45 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Moving to Node #0,2,2
Current State: 45:[20, 48], Operations: ['90-27=63', '63-15=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,45 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Moving to Node #0,2,0
Current State: 45:[63, 5], Operations: ['90-27=63', '20-15=5']
Exploring Operation: 63+5=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 63-5=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 63*5=315, Resulting Numbers: [315]
315,45 unequal: No Solution
Moving to Node #0,2,3
Current State: 45:[63, 35], Operations: ['90-27=63', '15+20=35']
Exploring Operation: 63*35=2205, Resulting Numbers: [2205]
2205,45 unequal: No Solution
Exploring Operation: 63-35=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 63+35=98, Resulting Numbers: [98]
98,45 unequal: No Solution
Moving to Node #0,2,1
Current State: 45:[20, 78], Operations: ['90-27=63', '15+63=78']
Exploring Operation: 20*78=1560, Resulting Numbers: [1560]
1560,45 unequal: No Solution
Exploring Operation: 78-20=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 20+78=98, Resulting Numbers: [98]
98,45 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 #0,1
Current State: 45:[15, 27, 70], Operations: ['90-20=70']
Exploring Operation: 15+70=85, Resulting Numbers: [27, 85]
Generated Node #0,1,0: 45:[27, 85] Operation: 15+70=85
Exploring Operation: 15+27=42, Resulting Numbers: [70, 42]
Generated Node #0,1,1: 45:[70, 42] Operation: 15+27=42
Exploring Operation: 70-15=55, Resulting Numbers: [27, 55]
Generated Node #0,1,2: 45:[27, 55] Operation: 70-15=55
Exploring Operation: 70-27=43, Resulting Numbers: [15, 43]
Generated Node #0,1,3: 45:[15, 43] Operation: 70-27=43
Exploring Operation: 27-15=12, Resulting Numbers: [70, 12]
Generated Node #0,1,4: 45:[70, 12] Operation: 27-15=12
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 45:[15, 43], Operations: ['90-20=70', '70-27=43']
Exploring Operation: 15*43=645, Resulting Numbers: [645]
645,45 unequal: No Solution
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,45 unequal: No Solution
No 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: 45:[27, 55], Operations: ['90-20=70', '70-15=55']
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,45 unequal: No Solution
No 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: 45:[70, 42], Operations: ['90-20=70', '15+27=42']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 70+42=112, Resulting Numbers: [112]
112,45 unequal: No Solution
Exploring Operation: 70*42=2940, Resulting Numbers: [2940]
2940,45 unequal: No Solution
No 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: 45:[70, 12], Operations: ['90-20=70', '27-15=12']
Exploring Operation: 70+12=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 70*12=840, Resulting Numbers: [840]
840,45 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,45 unequal: No Solution
No 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: 45:[27, 85], Operations: ['90-20=70', '15+70=85']
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,45 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,45 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: 45:[20, 27, 75], Operations: ['90-15=75']
Exploring Operation: 20+27=47, Resulting Numbers: [75, 47]
Generated Node #0,0,0: 45:[75, 47] Operation: 20+27=47
Exploring Operation: 27-20=7, Resulting Numbers: [75, 7]
Generated Node #0,0,1: 45:[75, 7] Operation: 27-20=7
Exploring Operation: 75-20=55, Resulting Numbers: [27, 55]
Generated Node #0,0,2: 45:[27, 55] Operation: 75-20=55
Exploring Operation: 20+75=95, Resulting Numbers: [27, 95]
Generated Node #0,0,3: 45:[27, 95] Operation: 20+75=95
Exploring Operation: 75-27=48, Resulting Numbers: [20, 48]
Generated Node #0,0,4: 45:[20, 48] Operation: 75-27=48
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 45:[20, 48], Operations: ['90-15=75', '75-27=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 20*48=960, Resulting Numbers: [960]
960,45 unequal: No Solution
No 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: 45:[27, 55], Operations: ['90-15=75', '75-20=55']
Exploring Operation: 27*55=1485, Resulting Numbers: [1485]
1485,45 unequal: No Solution
Exploring Operation: 55-27=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 27+55=82, Resulting Numbers: [82]
82,45 unequal: No Solution
No 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: 45:[75, 47], Operations: ['90-15=75', '20+27=47']
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 75+47=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 75*47=3525, Resulting Numbers: [3525]
3525,45 unequal: No Solution
No 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: 45:[75, 7], Operations: ['90-15=75', '27-20=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,45 unequal: No Solution
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 75*7=525, Resulting Numbers: [525]
525,45 unequal: No Solution
No 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: 45:[27, 95], Operations: ['90-15=75', '20+75=95']
Exploring Operation: 27*95=2565, Resulting Numbers: [2565]
2565,45 unequal: No Solution
Exploring Operation: 95-27=68, Resulting Numbers: [68]
68,45 unequal: No Solution
Exploring Operation: 27+95=122, Resulting Numbers: [122]
122,45 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: 45:[15, 90, 47], Operations: ['20+27=47']
Exploring Operation: 90-47=43, Resulting Numbers: [15, 43]
Generated Node #0,4,0: 45:[15, 43] Operation: 90-47=43
Exploring Operation: 47-15=32, Resulting Numbers: [90, 32]
Generated Node #0,4,1: 45:[90, 32] Operation: 47-15=32
Exploring Operation: 90/15=6, Resulting Numbers: [47, 6]
Generated Node #0,4,2: 45:[47, 6] Operation: 90/15=6
Exploring Operation: 90-15=75, Resulting Numbers: [47, 75]
Generated Node #0,4,3: 45:[47, 75] Operation: 90-15=75
Exploring Operation: 15+90=105, Resulting Numbers: [47, 105]
Generated Node #0,4,4: 45:[47, 105] Operation: 15+90=105
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 45:[15, 43], Operations: ['20+27=47', '90-47=43']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,45 unequal: No Solution
Exploring Operation: 15*43=645, Resulting Numbers: [645]
645,45 unequal: No Solution
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,45 unequal: No Solution
No 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: 45:[47, 6], Operations: ['20+27=47', '90/15=6']
Exploring Operation: 47*6=282, Resulting Numbers: [282]
282,45 unequal: No Solution
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
No 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: 45:[47, 75], Operations: ['20+27=47', '90-15=75']
Exploring Operation: 47*75=3525, Resulting Numbers: [3525]
3525,45 unequal: No Solution
Exploring Operation: 47+75=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 75-47=28, Resulting Numbers: [28]
28,45 unequal: No Solution
No 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: 45:[90, 32], Operations: ['20+27=47', '47-15=32']
Exploring Operation: 90-32=58, Resulting Numbers: [58]
58,45 unequal: No Solution
Exploring Operation: 90+32=122, Resulting Numbers: [122]
122,45 unequal: No Solution
Exploring Operation: 90*32=2880, Resulting Numbers: [2880]
2880,45 unequal: No Solution
No 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: 45:[47, 105], Operations: ['20+27=47', '15+90=105']
Exploring Operation: 47+105=152, Resulting Numbers: [152]
152,45 unequal: No Solution
Exploring Operation: 47*105=4935, Resulting Numbers: [4935]
4935,45 unequal: No Solution
Exploring Operation: 105-47=58, Resulting Numbers: [58]
58,45 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 |
[
91,
94,
5,
55
] | 33 | [
"94-91=3",
"55/5=11",
"3*11=33"
] | Current State: 33:[91, 94, 5, 55], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 55, 3]
Generated Node #2: [5, 55, 3] from Operation: 94-91=3
Current State: 33:[5, 55, 3], Operations: ['94-91=3']
Exploring Operation: 55/5=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 55/5=11
Current State: 33:[3, 11], Operations: ['94-91=3', '55/5=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[91, 94, 5, 55], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 55, 3]
Generated Node #0,0: 33:[5, 55, 3] Operation: 94-91=3
Exploring Operation: 55/5=11, Resulting Numbers: [91, 94, 11]
Generated Node #0,1: 33:[91, 94, 11] Operation: 55/5=11
Exploring Operation: 94-55=39, Resulting Numbers: [91, 5, 39]
Generated Node #0,2: 33:[91, 5, 39] Operation: 94-55=39
Exploring Operation: 91-55=36, Resulting Numbers: [94, 5, 36]
Generated Node #0,3: 33:[94, 5, 36] Operation: 91-55=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[5, 55, 3], Operations: ['94-91=3']
Exploring Operation: 55-5=50, Resulting Numbers: [3, 50]
Generated Node #0,0,0: 33:[3, 50] Operation: 55-5=50
Exploring Operation: 5-3=2, Resulting Numbers: [55, 2]
Generated Node #0,0,1: 33:[55, 2] Operation: 5-3=2
Exploring Operation: 55-3=52, Resulting Numbers: [5, 52]
Generated Node #0,0,2: 33:[5, 52] Operation: 55-3=52
Exploring Operation: 55/5=11, Resulting Numbers: [3, 11]
Generated Node #0,0,3: 33:[3, 11] Operation: 55/5=11
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 33:[3, 11], Operations: ['94-91=3', '55/5=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,33 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[91, 94, 5, 55], Operations: []
Exploring Operation: 94-91=3, Resulting Numbers: [5, 55, 3]
Generated Node #0,0: 33:[5, 55, 3] Operation: 94-91=3
Moving to Node #0,0
Current State: 33:[5, 55, 3], Operations: ['94-91=3']
Exploring Operation: 55/5=11, Resulting Numbers: [3, 11]
Generated Node #0,0,3: 33:[3, 11] Operation: 55/5=11
Moving to Node #0,0,3
Current State: 33:[3, 11], Operations: ['94-91=3', '55/5=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | sum_heuristic |
[
91,
30,
43,
52
] | 70 | [
"91-30=61",
"52-43=9",
"61+9=70"
] | Current State: 70:[91, 30, 43, 52], Operations: []
Exploring Operation: 91-30=61, Resulting Numbers: [43, 52, 61]
Generated Node #2: [43, 52, 61] from Operation: 91-30=61
Current State: 70:[43, 52, 61], Operations: ['91-30=61']
Exploring Operation: 52-43=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 52-43=9
Current State: 70:[61, 9], Operations: ['91-30=61', '52-43=9']
Exploring Operation: 61+9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[91, 30, 43, 52], Operations: []
Exploring Operation: 91-52=39, Resulting Numbers: [30, 43, 39]
Generated Node #0,0: 70:[30, 43, 39] Operation: 91-52=39
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[30, 43, 39], Operations: ['91-52=39']
Exploring Operation: 43-30=13, Resulting Numbers: [39, 13]
Generated Node #0,0,0: 70:[39, 13] Operation: 43-30=13
Moving to Node #0,0,0
Current State: 70:[39, 13], Operations: ['91-52=39', '43-30=13']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
33,
84,
94,
66
] | 89 | [
"33+84=117",
"94-66=28",
"117-28=89"
] | Current State: 89:[33, 84, 94, 66], Operations: []
Exploring Operation: 33+84=117, Resulting Numbers: [94, 66, 117]
Generated Node #2: [94, 66, 117] from Operation: 33+84=117
Current State: 89:[94, 66, 117], Operations: ['33+84=117']
Exploring Operation: 94-66=28, Resulting Numbers: [117, 28]
Generated Node #3: [117, 28] from Operation: 94-66=28
Current State: 89:[117, 28], Operations: ['33+84=117', '94-66=28']
Exploring Operation: 117-28=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[33, 84, 94, 66], Operations: []
Exploring Operation: 84-33=51, Resulting Numbers: [94, 66, 51]
Generated Node #0,0: 89:[94, 66, 51] Operation: 84-33=51
Exploring Operation: 94-33=61, Resulting Numbers: [84, 66, 61]
Generated Node #0,1: 89:[84, 66, 61] Operation: 94-33=61
Exploring Operation: 33+84=117, Resulting Numbers: [94, 66, 117]
Generated Node #0,2: 89:[94, 66, 117] Operation: 33+84=117
Exploring Operation: 33+66=99, Resulting Numbers: [84, 94, 99]
Generated Node #0,3: 89:[84, 94, 99] Operation: 33+66=99
Moving to Node #0,3
Current State: 89:[84, 94, 99], Operations: ['33+66=99']
Exploring Operation: 99-84=15, Resulting Numbers: [94, 15]
Generated Node #0,3,0: 89:[94, 15] Operation: 99-84=15
Exploring Operation: 94-84=10, Resulting Numbers: [99, 10]
Generated Node #0,3,1: 89:[99, 10] Operation: 94-84=10
Exploring Operation: 99-94=5, Resulting Numbers: [84, 5]
Generated Node #0,3,2: 89:[84, 5] Operation: 99-94=5
Exploring Operation: 84+94=178, Resulting Numbers: [99, 178]
Generated Node #0,3,3: 89:[99, 178] Operation: 84+94=178
Moving to Node #0,2
Current State: 89:[94, 66, 117], Operations: ['33+84=117']
Exploring Operation: 94+66=160, Resulting Numbers: [117, 160]
Generated Node #0,2,0: 89:[117, 160] Operation: 94+66=160
Exploring Operation: 94-66=28, Resulting Numbers: [117, 28]
Generated Node #0,2,1: 89:[117, 28] Operation: 94-66=28
Exploring Operation: 117-94=23, Resulting Numbers: [66, 23]
Generated Node #0,2,2: 89:[66, 23] Operation: 117-94=23
Exploring Operation: 117-66=51, Resulting Numbers: [94, 51]
Generated Node #0,2,3: 89:[94, 51] Operation: 117-66=51
Moving to Node #0,1
Current State: 89:[84, 66, 61], Operations: ['94-33=61']
Exploring Operation: 84-61=23, Resulting Numbers: [66, 23]
Generated Node #0,1,0: 89:[66, 23] Operation: 84-61=23
Exploring Operation: 84+66=150, Resulting Numbers: [61, 150]
Generated Node #0,1,1: 89:[61, 150] Operation: 84+66=150
Exploring Operation: 66+61=127, Resulting Numbers: [84, 127]
Generated Node #0,1,2: 89:[84, 127] Operation: 66+61=127
Exploring Operation: 84+61=145, Resulting Numbers: [66, 145]
Generated Node #0,1,3: 89:[66, 145] Operation: 84+61=145
Moving to Node #0,0
Current State: 89:[94, 66, 51], Operations: ['84-33=51']
Exploring Operation: 66+51=117, Resulting Numbers: [94, 117]
Generated Node #0,0,0: 89:[94, 117] Operation: 66+51=117
Exploring Operation: 94+51=145, Resulting Numbers: [66, 145]
Generated Node #0,0,1: 89:[66, 145] Operation: 94+51=145
Exploring Operation: 66-51=15, Resulting Numbers: [94, 15]
Generated Node #0,0,2: 89:[94, 15] Operation: 66-51=15
Exploring Operation: 94-51=43, Resulting Numbers: [66, 43]
Generated Node #0,0,3: 89:[66, 43] Operation: 94-51=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 89:[94, 117], Operations: ['84-33=51', '66+51=117']
Exploring Operation: 94*117=10998, Resulting Numbers: [10998]
10998,89 unequal: No Solution
Exploring Operation: 94+117=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Exploring Operation: 117-94=23, Resulting Numbers: [23]
23,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 89:[66, 43], Operations: ['84-33=51', '94-51=43']
Exploring Operation: 66+43=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,89 unequal: No Solution
Exploring Operation: 66*43=2838, Resulting Numbers: [2838]
2838,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 89:[66, 145], Operations: ['84-33=51', '94+51=145']
Exploring Operation: 66*145=9570, Resulting Numbers: [9570]
9570,89 unequal: No Solution
Exploring Operation: 66+145=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Exploring Operation: 145-66=79, Resulting Numbers: [79]
79,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 89:[94, 15], Operations: ['84-33=51', '66-51=15']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,89 unequal: No Solution
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,3
Current State: 89:[94, 51], Operations: ['33+84=117', '117-66=51']
Exploring Operation: 94*51=4794, Resulting Numbers: [4794]
4794,89 unequal: No Solution
Exploring Operation: 94-51=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Exploring Operation: 94+51=145, Resulting Numbers: [145]
145,89 unequal: No Solution
Moving to Node #0,1,2
Current State: 89:[84, 127], Operations: ['94-33=61', '66+61=127']
Exploring Operation: 84*127=10668, Resulting Numbers: [10668]
10668,89 unequal: No Solution
Exploring Operation: 84+127=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Exploring Operation: 127-84=43, Resulting Numbers: [43]
43,89 unequal: No Solution
Moving to Node #0,1,3
Current State: 89:[66, 145], Operations: ['94-33=61', '84+61=145']
Exploring Operation: 66+145=211, Resulting Numbers: [211]
211,89 unequal: No Solution
Exploring Operation: 66*145=9570, Resulting Numbers: [9570]
9570,89 unequal: No Solution
Exploring Operation: 145-66=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[94, 15], Operations: ['33+66=99', '99-84=15']
Exploring Operation: 94*15=1410, Resulting Numbers: [1410]
1410,89 unequal: No Solution
Exploring Operation: 94+15=109, Resulting Numbers: [109]
109,89 unequal: No Solution
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[84, 5], Operations: ['33+66=99', '99-94=5']
Exploring Operation: 84*5=420, Resulting Numbers: [420]
420,89 unequal: No Solution
Exploring Operation: 84-5=79, Resulting Numbers: [79]
79,89 unequal: No Solution
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[33, 84, 94, 66], Operations: []
Exploring Operation: 33+66=99, Resulting Numbers: [84, 94, 99]
Generated Node #0,3: 89:[84, 94, 99] Operation: 33+66=99
Moving to Node #0,3
Current State: 89:[84, 94, 99], Operations: ['33+66=99']
Exploring Operation: 99-94=5, Resulting Numbers: [84, 5]
Generated Node #0,3,2: 89:[84, 5] Operation: 99-94=5
Moving to Node #0,3,2
Current State: 89:[84, 5], Operations: ['33+66=99', '99-94=5']
Exploring Operation: 84+5=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 0.955729 | hs_4 | mult_heuristic |
[
72,
18,
61,
22
] | 35 | [
"72/18=4",
"61-22=39",
"39-4=35"
] | Current State: 35:[72, 18, 61, 22], Operations: []
Exploring Operation: 72/18=4, Resulting Numbers: [61, 22, 4]
Generated Node #2: [61, 22, 4] from Operation: 72/18=4
Current State: 35:[61, 22, 4], Operations: ['72/18=4']
Exploring Operation: 61-22=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 61-22=39
Current State: 35:[4, 39], Operations: ['72/18=4', '61-22=39']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[72, 18, 61, 22], Operations: []
Exploring Operation: 72-61=11, Resulting Numbers: [18, 22, 11]
Generated Node #0,0: 35:[18, 22, 11] Operation: 72-61=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[18, 22, 11], Operations: ['72-61=11']
Exploring Operation: 22-18=4, Resulting Numbers: [11, 4]
Generated Node #0,0,0: 35:[11, 4] Operation: 22-18=4
Moving to Node #0,0,0
Current State: 35:[11, 4], Operations: ['72-61=11', '22-18=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,35 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 |
[
90,
71,
6,
84
] | 71 | [
"90+71=161",
"6+84=90",
"161-90=71"
] | Current State: 71:[90, 71, 6, 84], Operations: []
Exploring Operation: 90+71=161, Resulting Numbers: [6, 84, 161]
Generated Node #2: [6, 84, 161] from Operation: 90+71=161
Current State: 71:[6, 84, 161], Operations: ['90+71=161']
Exploring Operation: 6+84=90, Resulting Numbers: [161, 90]
Generated Node #3: [161, 90] from Operation: 6+84=90
Current State: 71:[161, 90], Operations: ['90+71=161', '6+84=90']
Exploring Operation: 161-90=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[90, 71, 6, 84], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [71, 84, 84]
Generated Node #0,0: 71:[71, 84, 84] Operation: 90-6=84
Exploring Operation: 71+6=77, Resulting Numbers: [90, 84, 77]
Generated Node #0,1: 71:[90, 84, 77] Operation: 71+6=77
Exploring Operation: 84-6=78, Resulting Numbers: [90, 71, 78]
Generated Node #0,2: 71:[90, 71, 78] Operation: 84-6=78
Exploring Operation: 71-6=65, Resulting Numbers: [90, 84, 65]
Generated Node #0,3: 71:[90, 84, 65] Operation: 71-6=65
Exploring Operation: 90+6=96, Resulting Numbers: [71, 84, 96]
Generated Node #0,4: 71:[71, 84, 96] Operation: 90+6=96
Moving to Node #0,0
Current State: 71:[71, 84, 84], Operations: ['90-6=84']
Exploring Operation: 84-71=13, Resulting Numbers: [84, 13]
Generated Node #0,0,0: 71:[84, 13] Operation: 84-71=13
Exploring Operation: 84-71=13, Resulting Numbers: [84, 13]
Generated Node #0,0,1: 71:[84, 13] Operation: 84-71=13
Exploring Operation: 84-84=0, Resulting Numbers: [71, 0]
Generated Node #0,0,2: 71:[71, 0] Operation: 84-84=0
Exploring Operation: 84/84=1, Resulting Numbers: [71, 1]
Generated Node #0,0,3: 71:[71, 1] Operation: 84/84=1
Exploring Operation: 71+84=155, Resulting Numbers: [84, 155]
Generated Node #0,0,4: 71:[84, 155] Operation: 71+84=155
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 71:[71, 1], Operations: ['90-6=84', '84/84=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[90, 71, 6, 84], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [71, 84, 84]
Generated Node #0,0: 71:[71, 84, 84] Operation: 90-6=84
Moving to Node #0,0
Current State: 71:[71, 84, 84], Operations: ['90-6=84']
Exploring Operation: 84/84=1, Resulting Numbers: [71, 1]
Generated Node #0,0,3: 71:[71, 1] Operation: 84/84=1
Moving to Node #0,0,3
Current State: 71:[71, 1], Operations: ['90-6=84', '84/84=1']
Exploring Operation: 71*1=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
23,
10,
7,
10
] | 70 | [
"23+7=30",
"10*10=100",
"100-30=70"
] | Current State: 70:[23, 10, 7, 10], Operations: []
Exploring Operation: 23+7=30, Resulting Numbers: [10, 10, 30]
Generated Node #2: [10, 10, 30] from Operation: 23+7=30
Current State: 70:[10, 10, 30], Operations: ['23+7=30']
Exploring Operation: 10*10=100, Resulting Numbers: [30, 100]
Generated Node #3: [30, 100] from Operation: 10*10=100
Current State: 70:[30, 100], Operations: ['23+7=30', '10*10=100']
Exploring Operation: 100-30=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[23, 10, 7, 10], Operations: []
Exploring Operation: 23-10=13, Resulting Numbers: [7, 10, 13]
Generated Node #0,0: 70:[7, 10, 13] Operation: 23-10=13
Moving to Node #0,0
Current State: 70:[7, 10, 13], Operations: ['23-10=13']
Exploring Operation: 7*10=70, Resulting Numbers: [13, 70]
Generated Node #0,0,0: 70:[13, 70] Operation: 7*10=70
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 70:[13, 70], Operations: ['23-10=13', '7*10=70']
Exploring Operation: 13+70=83, Resulting Numbers: [83]
83,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
94,
17,
97,
28
] | 15 | [
"97-94=3",
"17+28=45",
"45/3=15"
] | Current State: 15:[94, 17, 97, 28], Operations: []
Exploring Operation: 97-94=3, Resulting Numbers: [17, 28, 3]
Generated Node #2: [17, 28, 3] from Operation: 97-94=3
Current State: 15:[17, 28, 3], Operations: ['97-94=3']
Exploring Operation: 17+28=45, Resulting Numbers: [3, 45]
Generated Node #3: [3, 45] from Operation: 17+28=45
Current State: 15:[3, 45], Operations: ['97-94=3', '17+28=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[94, 17, 97, 28], Operations: []
Exploring Operation: 94-17=77, Resulting Numbers: [97, 28, 77]
Generated Node #0,0: 15:[97, 28, 77] Operation: 94-17=77
Exploring Operation: 97-17=80, Resulting Numbers: [94, 28, 80]
Generated Node #0,1: 15:[94, 28, 80] Operation: 97-17=80
Exploring Operation: 97-28=69, Resulting Numbers: [94, 17, 69]
Generated Node #0,2: 15:[94, 17, 69] Operation: 97-28=69
Exploring Operation: 97-94=3, Resulting Numbers: [17, 28, 3]
Generated Node #0,3: 15:[17, 28, 3] Operation: 97-94=3
Exploring Operation: 94-28=66, Resulting Numbers: [17, 97, 66]
Generated Node #0,4: 15:[17, 97, 66] Operation: 94-28=66
Start Sub Search at level 1: Moving to Node #0,3
Current State: 15:[17, 28, 3], Operations: ['97-94=3']
Exploring Operation: 28-3=25, Resulting Numbers: [17, 25]
Generated Node #0,3,0: 15:[17, 25] Operation: 28-3=25
Exploring Operation: 17-3=14, Resulting Numbers: [28, 14]
Generated Node #0,3,1: 15:[28, 14] Operation: 17-3=14
Exploring Operation: 28-17=11, Resulting Numbers: [3, 11]
Generated Node #0,3,2: 15:[3, 11] Operation: 28-17=11
Exploring Operation: 28+3=31, Resulting Numbers: [17, 31]
Generated Node #0,3,3: 15:[17, 31] Operation: 28+3=31
Exploring Operation: 17+3=20, Resulting Numbers: [28, 20]
Generated Node #0,3,4: 15:[28, 20] Operation: 17+3=20
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 15:[3, 11], Operations: ['97-94=3', '28-17=11']
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,15 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,15 unequal: No Solution
No 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: 15:[17, 25], Operations: ['97-94=3', '28-3=25']
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,15 unequal: No Solution
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,15 unequal: No Solution
No 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: 15:[28, 14], Operations: ['97-94=3', '17-3=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,15 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,15 unequal: No Solution
No 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: 15:[17, 31], Operations: ['97-94=3', '28+3=31']
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,15 unequal: No Solution
No 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: 15:[28, 20], Operations: ['97-94=3', '17+3=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,15 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 15:[94, 17, 69], Operations: ['97-28=69']
Exploring Operation: 94+17=111, Resulting Numbers: [69, 111]
Generated Node #0,2,0: 15:[69, 111] Operation: 94+17=111
Exploring Operation: 94-17=77, Resulting Numbers: [69, 77]
Generated Node #0,2,1: 15:[69, 77] Operation: 94-17=77
Exploring Operation: 94+69=163, Resulting Numbers: [17, 163]
Generated Node #0,2,2: 15:[17, 163] Operation: 94+69=163
Exploring Operation: 69-17=52, Resulting Numbers: [94, 52]
Generated Node #0,2,3: 15:[94, 52] Operation: 69-17=52
Exploring Operation: 94-69=25, Resulting Numbers: [17, 25]
Generated Node #0,2,4: 15:[17, 25] Operation: 94-69=25
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 15:[17, 25], Operations: ['97-28=69', '94-69=25']
Exploring Operation: 25-17=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 17*25=425, Resulting Numbers: [425]
425,15 unequal: No Solution
Exploring Operation: 17+25=42, Resulting Numbers: [42]
42,15 unequal: No Solution
No 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: 15:[69, 77], Operations: ['97-28=69', '94-17=77']
Exploring Operation: 69+77=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 69*77=5313, Resulting Numbers: [5313]
5313,15 unequal: No Solution
No 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: 15:[94, 52], Operations: ['97-28=69', '69-17=52']
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,15 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,15 unequal: No Solution
No 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: 15:[69, 111], Operations: ['97-28=69', '94+17=111']
Exploring Operation: 111-69=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 69+111=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Exploring Operation: 69*111=7659, Resulting Numbers: [7659]
7659,15 unequal: No Solution
No 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: 15:[17, 163], Operations: ['97-28=69', '94+69=163']
Exploring Operation: 17*163=2771, Resulting Numbers: [2771]
2771,15 unequal: No Solution
Exploring Operation: 17+163=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Exploring Operation: 163-17=146, Resulting Numbers: [146]
146,15 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 15:[17, 97, 66], Operations: ['94-28=66']
Exploring Operation: 17+66=83, Resulting Numbers: [97, 83]
Generated Node #0,4,0: 15:[97, 83] Operation: 17+66=83
Exploring Operation: 97-17=80, Resulting Numbers: [66, 80]
Generated Node #0,4,1: 15:[66, 80] Operation: 97-17=80
Exploring Operation: 66-17=49, Resulting Numbers: [97, 49]
Generated Node #0,4,2: 15:[97, 49] Operation: 66-17=49
Exploring Operation: 17+97=114, Resulting Numbers: [66, 114]
Generated Node #0,4,3: 15:[66, 114] Operation: 17+97=114
Exploring Operation: 97-66=31, Resulting Numbers: [17, 31]
Generated Node #0,4,4: 15:[17, 31] Operation: 97-66=31
Moving to Node #0,4,4
Current State: 15:[17, 31], Operations: ['94-28=66', '97-66=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,15 unequal: No Solution
Moving to Node #0,4,2
Current State: 15:[97, 49], Operations: ['94-28=66', '66-17=49']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 97+49=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 97*49=4753, Resulting Numbers: [4753]
4753,15 unequal: No Solution
Moving to Node #0,4,1
Current State: 15:[66, 80], Operations: ['94-28=66', '97-17=80']
Exploring Operation: 66*80=5280, Resulting Numbers: [5280]
5280,15 unequal: No Solution
Exploring Operation: 66+80=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 80-66=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,4,0
Current State: 15:[97, 83], Operations: ['94-28=66', '17+66=83']
Exploring Operation: 97+83=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Exploring Operation: 97-83=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 97*83=8051, Resulting Numbers: [8051]
8051,15 unequal: No Solution
Moving to Node #0,4,3
Current State: 15:[66, 114], Operations: ['94-28=66', '17+97=114']
Exploring Operation: 66+114=180, Resulting Numbers: [180]
180,15 unequal: No Solution
Exploring Operation: 114-66=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 66*114=7524, Resulting Numbers: [7524]
7524,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[97, 28, 77], Operations: ['94-17=77']
Exploring Operation: 77-28=49, Resulting Numbers: [97, 49]
Generated Node #0,0,0: 15:[97, 49] Operation: 77-28=49
Exploring Operation: 97-28=69, Resulting Numbers: [77, 69]
Generated Node #0,0,1: 15:[77, 69] Operation: 97-28=69
Exploring Operation: 97+28=125, Resulting Numbers: [77, 125]
Generated Node #0,0,2: 15:[77, 125] Operation: 97+28=125
Exploring Operation: 97-77=20, Resulting Numbers: [28, 20]
Generated Node #0,0,3: 15:[28, 20] Operation: 97-77=20
Exploring Operation: 97+77=174, Resulting Numbers: [28, 174]
Generated Node #0,0,4: 15:[28, 174] Operation: 97+77=174
Moving to Node #0,0,3
Current State: 15:[28, 20], Operations: ['94-17=77', '97-77=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,15 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[77, 69], Operations: ['94-17=77', '97-28=69']
Exploring Operation: 77-69=8, Resulting Numbers: [8]
8,15 unequal: No Solution
Exploring Operation: 77+69=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 77*69=5313, Resulting Numbers: [5313]
5313,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[97, 49], Operations: ['94-17=77', '77-28=49']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 97*49=4753, Resulting Numbers: [4753]
4753,15 unequal: No Solution
Exploring Operation: 97+49=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[77, 125], Operations: ['94-17=77', '97+28=125']
Exploring Operation: 77+125=202, Resulting Numbers: [202]
202,15 unequal: No Solution
Exploring Operation: 77*125=9625, Resulting Numbers: [9625]
9625,15 unequal: No Solution
Exploring Operation: 125-77=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Moving to Node #0,0,4
Current State: 15:[28, 174], Operations: ['94-17=77', '97+77=174']
Exploring Operation: 28+174=202, Resulting Numbers: [202]
202,15 unequal: No Solution
Exploring Operation: 174-28=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 28*174=4872, Resulting Numbers: [4872]
4872,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 15:[94, 28, 80], Operations: ['97-17=80']
Exploring Operation: 80-28=52, Resulting Numbers: [94, 52]
Generated Node #0,1,0: 15:[94, 52] Operation: 80-28=52
Exploring Operation: 94+80=174, Resulting Numbers: [28, 174]
Generated Node #0,1,1: 15:[28, 174] Operation: 94+80=174
Exploring Operation: 94-28=66, Resulting Numbers: [80, 66]
Generated Node #0,1,2: 15:[80, 66] Operation: 94-28=66
Exploring Operation: 94-80=14, Resulting Numbers: [28, 14]
Generated Node #0,1,3: 15:[28, 14] Operation: 94-80=14
Exploring Operation: 94+28=122, Resulting Numbers: [80, 122]
Generated Node #0,1,4: 15:[80, 122] Operation: 94+28=122
Moving to Node #0,1,3
Current State: 15:[28, 14], Operations: ['97-17=80', '94-80=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,15 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[80, 66], Operations: ['97-17=80', '94-28=66']
Exploring Operation: 80-66=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 80+66=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 80*66=5280, Resulting Numbers: [5280]
5280,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[94, 52], Operations: ['97-17=80', '80-28=52']
Exploring Operation: 94+52=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Exploring Operation: 94*52=4888, Resulting Numbers: [4888]
4888,15 unequal: No Solution
Exploring Operation: 94-52=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[28, 174], Operations: ['97-17=80', '94+80=174']
Exploring Operation: 28+174=202, Resulting Numbers: [202]
202,15 unequal: No Solution
Exploring Operation: 28*174=4872, Resulting Numbers: [4872]
4872,15 unequal: No Solution
Exploring Operation: 174-28=146, Resulting Numbers: [146]
146,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[80, 122], Operations: ['97-17=80', '94+28=122']
Exploring Operation: 122-80=42, Resulting Numbers: [42]
42,15 unequal: No Solution
Exploring Operation: 80+122=202, Resulting Numbers: [202]
202,15 unequal: No Solution
Exploring Operation: 80*122=9760, Resulting Numbers: [9760]
9760,15 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 |
[
79,
13,
88,
84
] | 62 | [
"79-13=66",
"88-84=4",
"66-4=62"
] | Current State: 62:[79, 13, 88, 84], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [88, 84, 66]
Generated Node #2: [88, 84, 66] from Operation: 79-13=66
Current State: 62:[88, 84, 66], Operations: ['79-13=66']
Exploring Operation: 88-84=4, Resulting Numbers: [66, 4]
Generated Node #3: [66, 4] from Operation: 88-84=4
Current State: 62:[66, 4], Operations: ['79-13=66', '88-84=4']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[79, 13, 88, 84], Operations: []
Exploring Operation: 79-13=66, Resulting Numbers: [88, 84, 66]
Generated Node #0,0: 62:[88, 84, 66] Operation: 79-13=66
Exploring Operation: 88-79=9, Resulting Numbers: [13, 84, 9]
Generated Node #0,1: 62:[13, 84, 9] Operation: 88-79=9
Exploring Operation: 84-79=5, Resulting Numbers: [13, 88, 5]
Generated Node #0,2: 62:[13, 88, 5] Operation: 84-79=5
Exploring Operation: 88-84=4, Resulting Numbers: [79, 13, 4]
Generated Node #0,3: 62:[79, 13, 4] Operation: 88-84=4
Start Sub Search at level 1: Moving to Node #0,3
Current State: 62:[79, 13, 4], Operations: ['88-84=4']
Exploring Operation: 79-13=66, Resulting Numbers: [4, 66]
Generated Node #0,3,0: 62:[4, 66] Operation: 79-13=66
Exploring Operation: 13-4=9, Resulting Numbers: [79, 9]
Generated Node #0,3,1: 62:[79, 9] Operation: 13-4=9
Exploring Operation: 13*4=52, Resulting Numbers: [79, 52]
Generated Node #0,3,2: 62:[79, 52] Operation: 13*4=52
Exploring Operation: 79-4=75, Resulting Numbers: [13, 75]
Generated Node #0,3,3: 62:[13, 75] Operation: 79-4=75
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 62:[4, 66], Operations: ['88-84=4', '79-13=66']
Exploring Operation: 4*66=264, Resulting Numbers: [264]
264,62 unequal: No Solution
Exploring Operation: 4+66=70, Resulting Numbers: [70]
70,62 unequal: No Solution
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[79, 13, 88, 84], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [79, 13, 4]
Generated Node #0,3: 62:[79, 13, 4] Operation: 88-84=4
Moving to Node #0,3
Current State: 62:[79, 13, 4], Operations: ['88-84=4']
Exploring Operation: 79-13=66, Resulting Numbers: [4, 66]
Generated Node #0,3,0: 62:[4, 66] Operation: 79-13=66
Moving to Node #0,3,0
Current State: 62:[4, 66], Operations: ['88-84=4', '79-13=66']
Exploring Operation: 66-4=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
82,
59,
2,
96
] | 43 | [
"82+59=141",
"2+96=98",
"141-98=43"
] | Current State: 43:[82, 59, 2, 96], Operations: []
Exploring Operation: 82+59=141, Resulting Numbers: [2, 96, 141]
Generated Node #2: [2, 96, 141] from Operation: 82+59=141
Current State: 43:[2, 96, 141], Operations: ['82+59=141']
Exploring Operation: 2+96=98, Resulting Numbers: [141, 98]
Generated Node #3: [141, 98] from Operation: 2+96=98
Current State: 43:[141, 98], Operations: ['82+59=141', '2+96=98']
Exploring Operation: 141-98=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[82, 59, 2, 96], Operations: []
Exploring Operation: 82/2=41, Resulting Numbers: [59, 96, 41]
Generated Node #0,0: 43:[59, 96, 41] Operation: 82/2=41
Exploring Operation: 96/2=48, Resulting Numbers: [82, 59, 48]
Generated Node #0,1: 43:[82, 59, 48] Operation: 96/2=48
Moving to Node #0,1
Current State: 43:[82, 59, 48], Operations: ['96/2=48']
Exploring Operation: 82-59=23, Resulting Numbers: [48, 23]
Generated Node #0,1,0: 43:[48, 23] Operation: 82-59=23
Exploring Operation: 82-48=34, Resulting Numbers: [59, 34]
Generated Node #0,1,1: 43:[59, 34] Operation: 82-48=34
Moving to Node #0,0
Current State: 43:[59, 96, 41], Operations: ['82/2=41']
Exploring Operation: 96-59=37, Resulting Numbers: [41, 37]
Generated Node #0,0,0: 43:[41, 37] Operation: 96-59=37
Exploring Operation: 96-41=55, Resulting Numbers: [59, 55]
Generated Node #0,0,1: 43:[59, 55] Operation: 96-41=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[41, 37], Operations: ['82/2=41', '96-59=37']
Exploring Operation: 41-37=4, Resulting Numbers: [4]
4,43 unequal: No Solution
Exploring Operation: 41+37=78, Resulting Numbers: [78]
78,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[59, 55], Operations: ['82/2=41', '96-41=55']
Exploring Operation: 59+55=114, Resulting Numbers: [114]
114,43 unequal: No Solution
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,43 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: 43:[48, 23], Operations: ['96/2=48', '82-59=23']
Exploring Operation: 48+23=71, Resulting Numbers: [71]
71,43 unequal: No Solution
Exploring Operation: 48-23=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[59, 34], Operations: ['96/2=48', '82-48=34']
Exploring Operation: 59-34=25, Resulting Numbers: [25]
25,43 unequal: No Solution
Exploring Operation: 59+34=93, Resulting Numbers: [93]
93,43 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
50,
6,
96,
51
] | 100 | [
"6+96=102",
"50*102=5100",
"5100/51=100"
] | Current State: 100:[50, 6, 96, 51], Operations: []
Exploring Operation: 6+96=102, Resulting Numbers: [50, 51, 102]
Generated Node #2: [50, 51, 102] from Operation: 6+96=102
Current State: 100:[50, 51, 102], Operations: ['6+96=102']
Exploring Operation: 50*102=5100, Resulting Numbers: [51, 5100]
Generated Node #3: [51, 5100] from Operation: 50*102=5100
Current State: 100:[51, 5100], Operations: ['6+96=102', '50*102=5100']
Exploring Operation: 5100/51=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[50, 6, 96, 51], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [50, 51, 16]
Generated Node #0,0: 100:[50, 51, 16] Operation: 96/6=16
Exploring Operation: 6+96=102, Resulting Numbers: [50, 51, 102]
Generated Node #0,1: 100:[50, 51, 102] Operation: 6+96=102
Moving to Node #0,1
Current State: 100:[50, 51, 102], Operations: ['6+96=102']
Exploring Operation: 102/51=2, Resulting Numbers: [50, 2]
Generated Node #0,1,0: 100:[50, 2] Operation: 102/51=2
Exploring Operation: 102-51=51, Resulting Numbers: [50, 51]
Generated Node #0,1,1: 100:[50, 51] Operation: 102-51=51
Moving to Node #0,0
Current State: 100:[50, 51, 16], Operations: ['96/6=16']
Exploring Operation: 51-50=1, Resulting Numbers: [16, 1]
Generated Node #0,0,0: 100:[16, 1] Operation: 51-50=1
Exploring Operation: 50+51=101, Resulting Numbers: [16, 101]
Generated Node #0,0,1: 100:[16, 101] Operation: 50+51=101
Moving to Node #0,1,0
Current State: 100:[50, 2], Operations: ['6+96=102', '102/51=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[50, 6, 96, 51], Operations: []
Exploring Operation: 6+96=102, Resulting Numbers: [50, 51, 102]
Generated Node #0,1: 100:[50, 51, 102] Operation: 6+96=102
Moving to Node #0,1
Current State: 100:[50, 51, 102], Operations: ['6+96=102']
Exploring Operation: 102/51=2, Resulting Numbers: [50, 2]
Generated Node #0,1,0: 100:[50, 2] Operation: 102/51=2
Moving to Node #0,1,0
Current State: 100:[50, 2], Operations: ['6+96=102', '102/51=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 0.990451 | hs_2 | sum_heuristic |
[
15,
93,
61,
98
] | 81 | [
"93-15=78",
"61+98=159",
"159-78=81"
] | Current State: 81:[15, 93, 61, 98], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [61, 98, 78]
Generated Node #2: [61, 98, 78] from Operation: 93-15=78
Current State: 81:[61, 98, 78], Operations: ['93-15=78']
Exploring Operation: 61+98=159, Resulting Numbers: [78, 159]
Generated Node #3: [78, 159] from Operation: 61+98=159
Current State: 81:[78, 159], Operations: ['93-15=78', '61+98=159']
Exploring Operation: 159-78=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[15, 93, 61, 98], Operations: []
Exploring Operation: 93-61=32, Resulting Numbers: [15, 98, 32]
Generated Node #0,0: 81:[15, 98, 32] Operation: 93-61=32
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[15, 98, 32], Operations: ['93-61=32']
Exploring Operation: 98-15=83, Resulting Numbers: [32, 83]
Generated Node #0,0,0: 81:[32, 83] Operation: 98-15=83
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[32, 83], Operations: ['93-61=32', '98-15=83']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,81 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
45,
20,
92,
43
] | 95 | [
"45*43=1935",
"20*92=1840",
"1935-1840=95"
] | Current State: 95:[45, 20, 92, 43], Operations: []
Exploring Operation: 45*43=1935, Resulting Numbers: [20, 92, 1935]
Generated Node #2: [20, 92, 1935] from Operation: 45*43=1935
Current State: 95:[20, 92, 1935], Operations: ['45*43=1935']
Exploring Operation: 20*92=1840, Resulting Numbers: [1935, 1840]
Generated Node #3: [1935, 1840] from Operation: 20*92=1840
Current State: 95:[1935, 1840], Operations: ['45*43=1935', '20*92=1840']
Exploring Operation: 1935-1840=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[45, 20, 92, 43], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [20, 92, 2]
Generated Node #0,0: 95:[20, 92, 2] Operation: 45-43=2
Exploring Operation: 45-20=25, Resulting Numbers: [92, 43, 25]
Generated Node #0,1: 95:[92, 43, 25] Operation: 45-20=25
Exploring Operation: 45+43=88, Resulting Numbers: [20, 92, 88]
Generated Node #0,2: 95:[20, 92, 88] Operation: 45+43=88
Exploring Operation: 43-20=23, Resulting Numbers: [45, 92, 23]
Generated Node #0,3: 95:[45, 92, 23] Operation: 43-20=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 95:[20, 92, 2], Operations: ['45-43=2']
Exploring Operation: 92+2=94, Resulting Numbers: [20, 94]
Generated Node #0,0,0: 95:[20, 94] Operation: 92+2=94
Exploring Operation: 20-2=18, Resulting Numbers: [92, 18]
Generated Node #0,0,1: 95:[92, 18] Operation: 20-2=18
Exploring Operation: 92-2=90, Resulting Numbers: [20, 90]
Generated Node #0,0,2: 95:[20, 90] Operation: 92-2=90
Exploring Operation: 20+2=22, Resulting Numbers: [92, 22]
Generated Node #0,0,3: 95:[92, 22] Operation: 20+2=22
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 95:[20, 94], Operations: ['45-43=2', '92+2=94']
Exploring Operation: 94-20=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 20*94=1880, Resulting Numbers: [1880]
1880,95 unequal: No Solution
Exploring Operation: 20+94=114, Resulting Numbers: [114]
114,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 95:[92, 18], Operations: ['45-43=2', '20-2=18']
Exploring Operation: 92*18=1656, Resulting Numbers: [1656]
1656,95 unequal: No Solution
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 92+18=110, Resulting Numbers: [110]
110,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 95:[20, 90], Operations: ['45-43=2', '92-2=90']
Exploring Operation: 20+90=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 20*90=1800, Resulting Numbers: [1800]
1800,95 unequal: No Solution
Exploring Operation: 90-20=70, Resulting Numbers: [70]
70,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 95:[92, 22], Operations: ['45-43=2', '20+2=22']
Exploring Operation: 92+22=114, Resulting Numbers: [114]
114,95 unequal: No Solution
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 92*22=2024, Resulting Numbers: [2024]
2024,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[20, 92, 88], Operations: ['45+43=88']
Exploring Operation: 20+92=112, Resulting Numbers: [88, 112]
Generated Node #0,2,0: 95:[88, 112] Operation: 20+92=112
Exploring Operation: 92-20=72, Resulting Numbers: [88, 72]
Generated Node #0,2,1: 95:[88, 72] Operation: 92-20=72
Exploring Operation: 20+88=108, Resulting Numbers: [92, 108]
Generated Node #0,2,2: 95:[92, 108] Operation: 20+88=108
Exploring Operation: 92-88=4, Resulting Numbers: [20, 4]
Generated Node #0,2,3: 95:[20, 4] Operation: 92-88=4
Moving to Node #0,2,3
Current State: 95:[20, 4], Operations: ['45+43=88', '92-88=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 20*4=80, Resulting Numbers: [80]
80,95 unequal: No Solution
Exploring Operation: 20+4=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[92, 108], Operations: ['45+43=88', '20+88=108']
Exploring Operation: 108-92=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 92+108=200, Resulting Numbers: [200]
200,95 unequal: No Solution
Exploring Operation: 92*108=9936, Resulting Numbers: [9936]
9936,95 unequal: No Solution
Moving to Node #0,2,0
Current State: 95:[88, 112], Operations: ['45+43=88', '20+92=112']
Exploring Operation: 112-88=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 88*112=9856, Resulting Numbers: [9856]
9856,95 unequal: No Solution
Exploring Operation: 88+112=200, Resulting Numbers: [200]
200,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[88, 72], Operations: ['45+43=88', '92-20=72']
Exploring Operation: 88*72=6336, Resulting Numbers: [6336]
6336,95 unequal: No Solution
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 88+72=160, Resulting Numbers: [160]
160,95 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 95:[92, 43, 25], Operations: ['45-20=25']
Exploring Operation: 92-43=49, Resulting Numbers: [25, 49]
Generated Node #0,1,0: 95:[25, 49] Operation: 92-43=49
Exploring Operation: 43-25=18, Resulting Numbers: [92, 18]
Generated Node #0,1,1: 95:[92, 18] Operation: 43-25=18
Exploring Operation: 43+25=68, Resulting Numbers: [92, 68]
Generated Node #0,1,2: 95:[92, 68] Operation: 43+25=68
Exploring Operation: 92+43=135, Resulting Numbers: [25, 135]
Generated Node #0,1,3: 95:[25, 135] Operation: 92+43=135
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[92, 18], Operations: ['45-20=25', '43-25=18']
Exploring Operation: 92*18=1656, Resulting Numbers: [1656]
1656,95 unequal: No Solution
Exploring Operation: 92-18=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 92+18=110, Resulting Numbers: [110]
110,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 95:[92, 68], Operations: ['45-20=25', '43+25=68']
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,95 unequal: No Solution
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 95:[25, 49], Operations: ['45-20=25', '92-43=49']
Exploring Operation: 25*49=1225, Resulting Numbers: [1225]
1225,95 unequal: No Solution
Exploring Operation: 25+49=74, Resulting Numbers: [74]
74,95 unequal: No Solution
Exploring Operation: 49-25=24, Resulting Numbers: [24]
24,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 95:[25, 135], Operations: ['45-20=25', '92+43=135']
Exploring Operation: 25*135=3375, Resulting Numbers: [3375]
3375,95 unequal: No Solution
Exploring Operation: 135-25=110, Resulting Numbers: [110]
110,95 unequal: No Solution
Exploring Operation: 25+135=160, Resulting Numbers: [160]
160,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 95:[45, 92, 23], Operations: ['43-20=23']
Exploring Operation: 92/23=4, Resulting Numbers: [45, 4]
Generated Node #0,3,0: 95:[45, 4] Operation: 92/23=4
Exploring Operation: 45+23=68, Resulting Numbers: [92, 68]
Generated Node #0,3,1: 95:[92, 68] Operation: 45+23=68
Exploring Operation: 92-45=47, Resulting Numbers: [23, 47]
Generated Node #0,3,2: 95:[23, 47] Operation: 92-45=47
Exploring Operation: 45-23=22, Resulting Numbers: [92, 22]
Generated Node #0,3,3: 95:[92, 22] Operation: 45-23=22
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 95:[92, 22], Operations: ['43-20=23', '45-23=22']
Exploring Operation: 92-22=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 92*22=2024, Resulting Numbers: [2024]
2024,95 unequal: No Solution
Exploring Operation: 92+22=114, Resulting Numbers: [114]
114,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 95:[45, 4], Operations: ['43-20=23', '92/23=4']
Exploring Operation: 45+4=49, Resulting Numbers: [49]
49,95 unequal: No Solution
Exploring Operation: 45*4=180, Resulting Numbers: [180]
180,95 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 95:[92, 68], Operations: ['43-20=23', '45+23=68']
Exploring Operation: 92*68=6256, Resulting Numbers: [6256]
6256,95 unequal: No Solution
Exploring Operation: 92-68=24, Resulting Numbers: [24]
24,95 unequal: No Solution
Exploring Operation: 92+68=160, Resulting Numbers: [160]
160,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 95:[23, 47], Operations: ['43-20=23', '92-45=47']
Exploring Operation: 23*47=1081, Resulting Numbers: [1081]
1081,95 unequal: No Solution
Exploring Operation: 23+47=70, Resulting Numbers: [70]
70,95 unequal: No Solution
Exploring Operation: 47-23=24, Resulting Numbers: [24]
24,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
30,
35,
15,
86
] | 96 | [
"35-30=5",
"15+86=101",
"101-5=96"
] | Current State: 96:[30, 35, 15, 86], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [15, 86, 5]
Generated Node #2: [15, 86, 5] from Operation: 35-30=5
Current State: 96:[15, 86, 5], Operations: ['35-30=5']
Exploring Operation: 15+86=101, Resulting Numbers: [5, 101]
Generated Node #3: [5, 101] from Operation: 15+86=101
Current State: 96:[5, 101], Operations: ['35-30=5', '15+86=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[30, 35, 15, 86], Operations: []
Exploring Operation: 86-35=51, Resulting Numbers: [30, 15, 51]
Generated Node #0,0: 96:[30, 15, 51] Operation: 86-35=51
Exploring Operation: 86-30=56, Resulting Numbers: [35, 15, 56]
Generated Node #0,1: 96:[35, 15, 56] Operation: 86-30=56
Exploring Operation: 35-30=5, Resulting Numbers: [15, 86, 5]
Generated Node #0,2: 96:[15, 86, 5] Operation: 35-30=5
Exploring Operation: 15+86=101, Resulting Numbers: [30, 35, 101]
Generated Node #0,3: 96:[30, 35, 101] Operation: 15+86=101
Moving to Node #0,0
Current State: 96:[30, 15, 51], Operations: ['86-35=51']
Exploring Operation: 30+15=45, Resulting Numbers: [51, 45]
Generated Node #0,0,0: 96:[51, 45] Operation: 30+15=45
Exploring Operation: 30-15=15, Resulting Numbers: [51, 15]
Generated Node #0,0,1: 96:[51, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [51, 2]
Generated Node #0,0,2: 96:[51, 2] Operation: 30/15=2
Exploring Operation: 51-30=21, Resulting Numbers: [15, 21]
Generated Node #0,0,3: 96:[15, 21] Operation: 51-30=21
Moving to Node #0,3
Current State: 96:[30, 35, 101], Operations: ['15+86=101']
Exploring Operation: 101-35=66, Resulting Numbers: [30, 66]
Generated Node #0,3,0: 96:[30, 66] Operation: 101-35=66
Exploring Operation: 35-30=5, Resulting Numbers: [101, 5]
Generated Node #0,3,1: 96:[101, 5] Operation: 35-30=5
Exploring Operation: 101-30=71, Resulting Numbers: [35, 71]
Generated Node #0,3,2: 96:[35, 71] Operation: 101-30=71
Exploring Operation: 30+35=65, Resulting Numbers: [101, 65]
Generated Node #0,3,3: 96:[101, 65] Operation: 30+35=65
Moving to Node #0,2
Current State: 96:[15, 86, 5], Operations: ['35-30=5']
Exploring Operation: 15-5=10, Resulting Numbers: [86, 10]
Generated Node #0,2,0: 96:[86, 10] Operation: 15-5=10
Exploring Operation: 15/5=3, Resulting Numbers: [86, 3]
Generated Node #0,2,1: 96:[86, 3] Operation: 15/5=3
Exploring Operation: 15+86=101, Resulting Numbers: [5, 101]
Generated Node #0,2,2: 96:[5, 101] Operation: 15+86=101
Exploring Operation: 86+5=91, Resulting Numbers: [15, 91]
Generated Node #0,2,3: 96:[15, 91] Operation: 86+5=91
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 96:[5, 101], Operations: ['35-30=5', '15+86=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[30, 35, 15, 86], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [15, 86, 5]
Generated Node #0,2: 96:[15, 86, 5] Operation: 35-30=5
Moving to Node #0,2
Current State: 96:[15, 86, 5], Operations: ['35-30=5']
Exploring Operation: 15+86=101, Resulting Numbers: [5, 101]
Generated Node #0,2,2: 96:[5, 101] Operation: 15+86=101
Moving to Node #0,2,2
Current State: 96:[5, 101], Operations: ['35-30=5', '15+86=101']
Exploring Operation: 101-5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
[
38,
13,
1,
58
] | 32 | [
"38-13=25",
"58-1=57",
"57-25=32"
] | Current State: 32:[38, 13, 1, 58], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [1, 58, 25]
Generated Node #2: [1, 58, 25] from Operation: 38-13=25
Current State: 32:[1, 58, 25], Operations: ['38-13=25']
Exploring Operation: 58-1=57, Resulting Numbers: [25, 57]
Generated Node #3: [25, 57] from Operation: 58-1=57
Current State: 32:[25, 57], Operations: ['38-13=25', '58-1=57']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[38, 13, 1, 58], Operations: []
Exploring Operation: 58-13=45, Resulting Numbers: [38, 1, 45]
Generated Node #0,0: 32:[38, 1, 45] Operation: 58-13=45
Exploring Operation: 38-13=25, Resulting Numbers: [1, 58, 25]
Generated Node #0,1: 32:[1, 58, 25] Operation: 38-13=25
Exploring Operation: 58-38=20, Resulting Numbers: [13, 1, 20]
Generated Node #0,2: 32:[13, 1, 20] Operation: 58-38=20
Moving to Node #0,2
Current State: 32:[13, 1, 20], Operations: ['58-38=20']
Exploring Operation: 20-13=7, Resulting Numbers: [1, 7]
Generated Node #0,2,0: 32:[1, 7] Operation: 20-13=7
Exploring Operation: 13+20=33, Resulting Numbers: [1, 33]
Generated Node #0,2,1: 32:[1, 33] Operation: 13+20=33
Exploring Operation: 13+1=14, Resulting Numbers: [20, 14]
Generated Node #0,2,2: 32:[20, 14] Operation: 13+1=14
Moving to Node #0,0
Current State: 32:[38, 1, 45], Operations: ['58-13=45']
Exploring Operation: 45-38=7, Resulting Numbers: [1, 7]
Generated Node #0,0,0: 32:[1, 7] Operation: 45-38=7
Exploring Operation: 38-1=37, Resulting Numbers: [45, 37]
Generated Node #0,0,1: 32:[45, 37] Operation: 38-1=37
Exploring Operation: 45-1=44, Resulting Numbers: [38, 44]
Generated Node #0,0,2: 32:[38, 44] Operation: 45-1=44
Moving to Node #0,1
Current State: 32:[1, 58, 25], Operations: ['38-13=25']
Exploring Operation: 58-1=57, Resulting Numbers: [25, 57]
Generated Node #0,1,0: 32:[25, 57] Operation: 58-1=57
Exploring Operation: 1+25=26, Resulting Numbers: [58, 26]
Generated Node #0,1,1: 32:[58, 26] Operation: 1+25=26
Exploring Operation: 58-25=33, Resulting Numbers: [1, 33]
Generated Node #0,1,2: 32:[1, 33] Operation: 58-25=33
Moving to Node #0,2,0
Current State: 32:[1, 7], Operations: ['58-38=20', '20-13=7']
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Exploring Operation: 1+7=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,32 unequal: No Solution
Moving to Node #0,1,2
Current State: 32:[1, 33], Operations: ['38-13=25', '58-25=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[38, 13, 1, 58], Operations: []
Exploring Operation: 38-13=25, Resulting Numbers: [1, 58, 25]
Generated Node #0,1: 32:[1, 58, 25] Operation: 38-13=25
Moving to Node #0,1
Current State: 32:[1, 58, 25], Operations: ['38-13=25']
Exploring Operation: 58-25=33, Resulting Numbers: [1, 33]
Generated Node #0,1,2: 32:[1, 33] Operation: 58-25=33
Moving to Node #0,1,2
Current State: 32:[1, 33], Operations: ['38-13=25', '58-25=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.982639 | hs_3 | mult_heuristic |
[
65,
17,
57,
6
] | 20 | [
"65+57=122",
"17*6=102",
"122-102=20"
] | Current State: 20:[65, 17, 57, 6], Operations: []
Exploring Operation: 65+57=122, Resulting Numbers: [17, 6, 122]
Generated Node #2: [17, 6, 122] from Operation: 65+57=122
Current State: 20:[17, 6, 122], Operations: ['65+57=122']
Exploring Operation: 17*6=102, Resulting Numbers: [122, 102]
Generated Node #3: [122, 102] from Operation: 17*6=102
Current State: 20:[122, 102], Operations: ['65+57=122', '17*6=102']
Exploring Operation: 122-102=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[65, 17, 57, 6], Operations: []
Exploring Operation: 65-57=8, Resulting Numbers: [17, 6, 8]
Generated Node #0,0: 20:[17, 6, 8] Operation: 65-57=8
Exploring Operation: 57-17=40, Resulting Numbers: [65, 6, 40]
Generated Node #0,1: 20:[65, 6, 40] Operation: 57-17=40
Exploring Operation: 65-17=48, Resulting Numbers: [57, 6, 48]
Generated Node #0,2: 20:[57, 6, 48] Operation: 65-17=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 20:[17, 6, 8], Operations: ['65-57=8']
Exploring Operation: 17-6=11, Resulting Numbers: [8, 11]
Generated Node #0,0,0: 20:[8, 11] Operation: 17-6=11
Exploring Operation: 17-8=9, Resulting Numbers: [6, 9]
Generated Node #0,0,1: 20:[6, 9] Operation: 17-8=9
Exploring Operation: 8-6=2, Resulting Numbers: [17, 2]
Generated Node #0,0,2: 20:[17, 2] Operation: 8-6=2
Moving to Node #0,0,1
Current State: 20:[6, 9], Operations: ['65-57=8', '17-8=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,20 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[8, 11], Operations: ['65-57=8', '17-6=11']
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,20 unequal: No Solution
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[17, 2], Operations: ['65-57=8', '8-6=2']
Exploring Operation: 17*2=34, Resulting Numbers: [34]
34,20 unequal: No Solution
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,20 unequal: No Solution
Exploring Operation: 17+2=19, Resulting Numbers: [19]
19,20 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:[65, 6, 40], Operations: ['57-17=40']
Exploring Operation: 65-40=25, Resulting Numbers: [6, 25]
Generated Node #0,1,0: 20:[6, 25] Operation: 65-40=25
Exploring Operation: 40-6=34, Resulting Numbers: [65, 34]
Generated Node #0,1,1: 20:[65, 34] Operation: 40-6=34
Exploring Operation: 65-6=59, Resulting Numbers: [40, 59]
Generated Node #0,1,2: 20:[40, 59] Operation: 65-6=59
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 20:[6, 25], Operations: ['57-17=40', '65-40=25']
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,20 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 20:[65, 34], Operations: ['57-17=40', '40-6=34']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,20 unequal: No Solution
Exploring Operation: 65*34=2210, Resulting Numbers: [2210]
2210,20 unequal: No Solution
Exploring Operation: 65+34=99, Resulting Numbers: [99]
99,20 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 20:[40, 59], Operations: ['57-17=40', '65-6=59']
Exploring Operation: 59-40=19, Resulting Numbers: [19]
19,20 unequal: No Solution
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 40*59=2360, Resulting Numbers: [2360]
2360,20 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 #0,2
Current State: 20:[57, 6, 48], Operations: ['65-17=48']
Exploring Operation: 57-48=9, Resulting Numbers: [6, 9]
Generated Node #0,2,0: 20:[6, 9] Operation: 57-48=9
Exploring Operation: 48/6=8, Resulting Numbers: [57, 8]
Generated Node #0,2,1: 20:[57, 8] Operation: 48/6=8
Exploring Operation: 57-6=51, Resulting Numbers: [48, 51]
Generated Node #0,2,2: 20:[48, 51] Operation: 57-6=51
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 20:[6, 9], Operations: ['65-17=48', '57-48=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,20 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,20 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:[57, 8], Operations: ['65-17=48', '48/6=8']
Exploring Operation: 57-8=49, Resulting Numbers: [49]
49,20 unequal: No Solution
Exploring Operation: 57+8=65, Resulting Numbers: [65]
65,20 unequal: No Solution
Exploring Operation: 57*8=456, Resulting Numbers: [456]
456,20 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:[48, 51], Operations: ['65-17=48', '57-6=51']
Exploring Operation: 48+51=99, Resulting Numbers: [99]
99,20 unequal: No Solution
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,20 unequal: No Solution
Exploring Operation: 48*51=2448, Resulting Numbers: [2448]
2448,20 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_3 | mult_heuristic |
[
18,
74,
7,
39
] | 91 | [
"18*7=126",
"74-39=35",
"126-35=91"
] | Current State: 91:[18, 74, 7, 39], Operations: []
Exploring Operation: 18*7=126, Resulting Numbers: [74, 39, 126]
Generated Node #2: [74, 39, 126] from Operation: 18*7=126
Current State: 91:[74, 39, 126], Operations: ['18*7=126']
Exploring Operation: 74-39=35, Resulting Numbers: [126, 35]
Generated Node #3: [126, 35] from Operation: 74-39=35
Current State: 91:[126, 35], Operations: ['18*7=126', '74-39=35']
Exploring Operation: 126-35=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[18, 74, 7, 39], Operations: []
Exploring Operation: 39-18=21, Resulting Numbers: [74, 7, 21]
Generated Node #0,0: 91:[74, 7, 21] Operation: 39-18=21
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[74, 7, 21], Operations: ['39-18=21']
Exploring Operation: 74+21=95, Resulting Numbers: [7, 95]
Generated Node #0,0,0: 91:[7, 95] Operation: 74+21=95
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 91:[7, 95], Operations: ['39-18=21', '74+21=95']
Exploring Operation: 95-7=88, Resulting Numbers: [88]
88,91 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 | sum_heuristic |
[
17,
3,
61,
89
] | 33 | [
"17+61=78",
"89-78=11",
"3*11=33"
] | Current State: 33:[17, 3, 61, 89], Operations: []
Exploring Operation: 17+61=78, Resulting Numbers: [3, 89, 78]
Generated Node #2: [3, 89, 78] from Operation: 17+61=78
Current State: 33:[3, 89, 78], Operations: ['17+61=78']
Exploring Operation: 89-78=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 89-78=11
Current State: 33:[3, 11], Operations: ['17+61=78', '89-78=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[17, 3, 61, 89], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [17, 3, 28]
Generated Node #0,0: 33:[17, 3, 28] Operation: 89-61=28
Exploring Operation: 89-17=72, Resulting Numbers: [3, 61, 72]
Generated Node #0,1: 33:[3, 61, 72] Operation: 89-17=72
Exploring Operation: 17-3=14, Resulting Numbers: [61, 89, 14]
Generated Node #0,2: 33:[61, 89, 14] Operation: 17-3=14
Exploring Operation: 61-17=44, Resulting Numbers: [3, 89, 44]
Generated Node #0,3: 33:[3, 89, 44] Operation: 61-17=44
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[17, 3, 28], Operations: ['89-61=28']
Exploring Operation: 17-3=14, Resulting Numbers: [28, 14]
Generated Node #0,0,0: 33:[28, 14] Operation: 17-3=14
Exploring Operation: 28-17=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 33:[3, 11] Operation: 28-17=11
Exploring Operation: 17+28=45, Resulting Numbers: [3, 45]
Generated Node #0,0,2: 33:[3, 45] Operation: 17+28=45
Exploring Operation: 3+28=31, Resulting Numbers: [17, 31]
Generated Node #0,0,3: 33:[17, 31] Operation: 3+28=31
Moving to Node #0,0,1
Current State: 33:[3, 11], Operations: ['89-61=28', '28-17=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[17, 3, 61, 89], Operations: []
Exploring Operation: 89-61=28, Resulting Numbers: [17, 3, 28]
Generated Node #0,0: 33:[17, 3, 28] Operation: 89-61=28
Moving to Node #0,0
Current State: 33:[17, 3, 28], Operations: ['89-61=28']
Exploring Operation: 28-17=11, Resulting Numbers: [3, 11]
Generated Node #0,0,1: 33:[3, 11] Operation: 28-17=11
Moving to Node #0,0,1
Current State: 33:[3, 11], Operations: ['89-61=28', '28-17=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
90,
80,
89,
52
] | 62 | [
"89-80=9",
"90/9=10",
"52+10=62"
] | Current State: 62:[90, 80, 89, 52], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [90, 52, 9]
Generated Node #2: [90, 52, 9] from Operation: 89-80=9
Current State: 62:[90, 52, 9], Operations: ['89-80=9']
Exploring Operation: 90/9=10, Resulting Numbers: [52, 10]
Generated Node #3: [52, 10] from Operation: 90/9=10
Current State: 62:[52, 10], Operations: ['89-80=9', '90/9=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[90, 80, 89, 52], Operations: []
Exploring Operation: 90-89=1, Resulting Numbers: [80, 52, 1]
Generated Node #0,0: 62:[80, 52, 1] Operation: 90-89=1
Exploring Operation: 90-52=38, Resulting Numbers: [80, 89, 38]
Generated Node #0,1: 62:[80, 89, 38] Operation: 90-52=38
Exploring Operation: 90-80=10, Resulting Numbers: [89, 52, 10]
Generated Node #0,2: 62:[89, 52, 10] Operation: 90-80=10
Exploring Operation: 89-80=9, Resulting Numbers: [90, 52, 9]
Generated Node #0,3: 62:[90, 52, 9] Operation: 89-80=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[80, 52, 1], Operations: ['90-89=1']
Exploring Operation: 80-1=79, Resulting Numbers: [52, 79]
Generated Node #0,0,0: 62:[52, 79] Operation: 80-1=79
Exploring Operation: 80-52=28, Resulting Numbers: [1, 28]
Generated Node #0,0,1: 62:[1, 28] Operation: 80-52=28
Exploring Operation: 52+1=53, Resulting Numbers: [80, 53]
Generated Node #0,0,2: 62:[80, 53] Operation: 52+1=53
Exploring Operation: 80*1=80, Resulting Numbers: [52, 80]
Generated Node #0,0,3: 62:[52, 80] Operation: 80*1=80
Moving to Node #0,0,1
Current State: 62:[1, 28], Operations: ['90-89=1', '80-52=28']
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 1*28=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 1+28=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Moving to Node #0,0,2
Current State: 62:[80, 53], Operations: ['90-89=1', '52+1=53']
Exploring Operation: 80-53=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 80*53=4240, Resulting Numbers: [4240]
4240,62 unequal: No Solution
Exploring Operation: 80+53=133, Resulting Numbers: [133]
133,62 unequal: No Solution
Moving to Node #0,0,0
Current State: 62:[52, 79], Operations: ['90-89=1', '80-1=79']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 52*79=4108, Resulting Numbers: [4108]
4108,62 unequal: No Solution
Exploring Operation: 52+79=131, Resulting Numbers: [131]
131,62 unequal: No Solution
Moving to Node #0,0,3
Current State: 62:[52, 80], Operations: ['90-89=1', '80*1=80']
Exploring Operation: 52*80=4160, Resulting Numbers: [4160]
4160,62 unequal: No Solution
Exploring Operation: 52+80=132, Resulting Numbers: [132]
132,62 unequal: No Solution
Exploring Operation: 80-52=28, Resulting Numbers: [28]
28,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 62:[89, 52, 10], Operations: ['90-80=10']
Exploring Operation: 89-10=79, Resulting Numbers: [52, 79]
Generated Node #0,2,0: 62:[52, 79] Operation: 89-10=79
Exploring Operation: 52-10=42, Resulting Numbers: [89, 42]
Generated Node #0,2,1: 62:[89, 42] Operation: 52-10=42
Exploring Operation: 52+10=62, Resulting Numbers: [89, 62]
Generated Node #0,2,2: 62:[89, 62] Operation: 52+10=62
Exploring Operation: 89-52=37, Resulting Numbers: [10, 37]
Generated Node #0,2,3: 62:[10, 37] Operation: 89-52=37
Moving to Node #0,2,3
Current State: 62:[10, 37], Operations: ['90-80=10', '89-52=37']
Exploring Operation: 10+37=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 37-10=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 10*37=370, Resulting Numbers: [370]
370,62 unequal: No Solution
Moving to Node #0,2,2
Current State: 62:[89, 62], Operations: ['90-80=10', '52+10=62']
Exploring Operation: 89+62=151, Resulting Numbers: [151]
151,62 unequal: No Solution
Exploring Operation: 89*62=5518, Resulting Numbers: [5518]
5518,62 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[52, 79], Operations: ['90-80=10', '89-10=79']
Exploring Operation: 52*79=4108, Resulting Numbers: [4108]
4108,62 unequal: No Solution
Exploring Operation: 52+79=131, Resulting Numbers: [131]
131,62 unequal: No Solution
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[89, 42], Operations: ['90-80=10', '52-10=42']
Exploring Operation: 89-42=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 89*42=3738, Resulting Numbers: [3738]
3738,62 unequal: No Solution
Exploring Operation: 89+42=131, Resulting Numbers: [131]
131,62 unequal: No Solution
No 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: 62:[90, 52, 9], Operations: ['89-80=9']
Exploring Operation: 90/9=10, Resulting Numbers: [52, 10]
Generated Node #0,3,0: 62:[52, 10] Operation: 90/9=10
Exploring Operation: 90-52=38, Resulting Numbers: [9, 38]
Generated Node #0,3,1: 62:[9, 38] Operation: 90-52=38
Exploring Operation: 52+9=61, Resulting Numbers: [90, 61]
Generated Node #0,3,2: 62:[90, 61] Operation: 52+9=61
Exploring Operation: 90-9=81, Resulting Numbers: [52, 81]
Generated Node #0,3,3: 62:[52, 81] Operation: 90-9=81
Moving to Node #0,3,1
Current State: 62:[9, 38], Operations: ['89-80=9', '90-52=38']
Exploring Operation: 38-9=29, Resulting Numbers: [29]
29,62 unequal: No Solution
Exploring Operation: 9+38=47, Resulting Numbers: [47]
47,62 unequal: No Solution
Exploring Operation: 9*38=342, Resulting Numbers: [342]
342,62 unequal: No Solution
Moving to Node #0,3,0
Current State: 62:[52, 10], Operations: ['89-80=9', '90/9=10']
Exploring Operation: 52*10=520, Resulting Numbers: [520]
520,62 unequal: No Solution
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,62 unequal: No Solution
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Moving to Node #0
Current State: 62:[90, 80, 89, 52], Operations: []
Exploring Operation: 89-80=9, Resulting Numbers: [90, 52, 9]
Generated Node #0,3: 62:[90, 52, 9] Operation: 89-80=9
Moving to Node #0,3
Current State: 62:[90, 52, 9], Operations: ['89-80=9']
Exploring Operation: 90/9=10, Resulting Numbers: [52, 10]
Generated Node #0,3,0: 62:[52, 10] Operation: 90/9=10
Moving to Node #0,3,0
Current State: 62:[52, 10], Operations: ['89-80=9', '90/9=10']
Exploring Operation: 52+10=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
Exit Sub Search at level 1
| 0.955729 | hs_4 | sum_heuristic |
[
38,
22,
70,
41
] | 95 | [
"38-22=16",
"70+41=111",
"111-16=95"
] | Current State: 95:[38, 22, 70, 41], Operations: []
Exploring Operation: 38-22=16, Resulting Numbers: [70, 41, 16]
Generated Node #2: [70, 41, 16] from Operation: 38-22=16
Current State: 95:[70, 41, 16], Operations: ['38-22=16']
Exploring Operation: 70+41=111, Resulting Numbers: [16, 111]
Generated Node #3: [16, 111] from Operation: 70+41=111
Current State: 95:[16, 111], Operations: ['38-22=16', '70+41=111']
Exploring Operation: 111-16=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[38, 22, 70, 41], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [38, 22, 29]
Generated Node #0,0: 95:[38, 22, 29] Operation: 70-41=29
Exploring Operation: 38+70=108, Resulting Numbers: [22, 41, 108]
Generated Node #0,1: 95:[22, 41, 108] Operation: 38+70=108
Exploring Operation: 41-38=3, Resulting Numbers: [22, 70, 3]
Generated Node #0,2: 95:[22, 70, 3] Operation: 41-38=3
Moving to Node #0,2
Current State: 95:[22, 70, 3], Operations: ['41-38=3']
Exploring Operation: 22-3=19, Resulting Numbers: [70, 19]
Generated Node #0,2,0: 95:[70, 19] Operation: 22-3=19
Exploring Operation: 70+3=73, Resulting Numbers: [22, 73]
Generated Node #0,2,1: 95:[22, 73] Operation: 70+3=73
Exploring Operation: 22+70=92, Resulting Numbers: [3, 92]
Generated Node #0,2,2: 95:[3, 92] Operation: 22+70=92
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 95:[3, 92], Operations: ['41-38=3', '22+70=92']
Exploring Operation: 92-3=89, Resulting Numbers: [89]
89,95 unequal: No Solution
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[38, 22, 70, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [22, 70, 3]
Generated Node #0,2: 95:[22, 70, 3] Operation: 41-38=3
Moving to Node #0,2
Current State: 95:[22, 70, 3], Operations: ['41-38=3']
Exploring Operation: 22+70=92, Resulting Numbers: [3, 92]
Generated Node #0,2,2: 95:[3, 92] Operation: 22+70=92
Moving to Node #0,2,2
Current State: 95:[3, 92], Operations: ['41-38=3', '22+70=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
21,
43,
63,
48
] | 37 | [
"43-21=22",
"63-48=15",
"22+15=37"
] | Current State: 37:[21, 43, 63, 48], Operations: []
Exploring Operation: 43-21=22, Resulting Numbers: [63, 48, 22]
Generated Node #2: [63, 48, 22] from Operation: 43-21=22
Current State: 37:[63, 48, 22], Operations: ['43-21=22']
Exploring Operation: 63-48=15, Resulting Numbers: [22, 15]
Generated Node #3: [22, 15] from Operation: 63-48=15
Current State: 37:[22, 15], Operations: ['43-21=22', '63-48=15']
Exploring Operation: 22+15=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[21, 43, 63, 48], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [43, 48, 42]
Generated Node #0,0: 37:[43, 48, 42] Operation: 63-21=42
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[43, 48, 42], Operations: ['63-21=42']
Exploring Operation: 48-43=5, Resulting Numbers: [42, 5]
Generated Node #0,0,0: 37:[42, 5] Operation: 48-43=5
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 37:[42, 5], Operations: ['63-21=42', '48-43=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Moving to Node #0
Current State: 37:[21, 43, 63, 48], Operations: []
Exploring Operation: 63-21=42, Resulting Numbers: [43, 48, 42]
Generated Node #0,0: 37:[43, 48, 42] Operation: 63-21=42
Moving to Node #0,0
Current State: 37:[43, 48, 42], Operations: ['63-21=42']
Exploring Operation: 48-43=5, Resulting Numbers: [42, 5]
Generated Node #0,0,0: 37:[42, 5] Operation: 48-43=5
Moving to Node #0,0,0
Current State: 37:[42, 5], Operations: ['63-21=42', '48-43=5']
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
27,
35,
19,
17
] | 26 | [
"27+35=62",
"19+17=36",
"62-36=26"
] | Current State: 26:[27, 35, 19, 17], Operations: []
Exploring Operation: 27+35=62, Resulting Numbers: [19, 17, 62]
Generated Node #2: [19, 17, 62] from Operation: 27+35=62
Current State: 26:[19, 17, 62], Operations: ['27+35=62']
Exploring Operation: 19+17=36, Resulting Numbers: [62, 36]
Generated Node #3: [62, 36] from Operation: 19+17=36
Current State: 26:[62, 36], Operations: ['27+35=62', '19+17=36']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[27, 35, 19, 17], Operations: []
Exploring Operation: 35-19=16, Resulting Numbers: [27, 17, 16]
Generated Node #0,0: 26:[27, 17, 16] Operation: 35-19=16
Exploring Operation: 27-19=8, Resulting Numbers: [35, 17, 8]
Generated Node #0,1: 26:[35, 17, 8] Operation: 27-19=8
Exploring Operation: 19-17=2, Resulting Numbers: [27, 35, 2]
Generated Node #0,2: 26:[27, 35, 2] Operation: 19-17=2
Exploring Operation: 35-27=8, Resulting Numbers: [19, 17, 8]
Generated Node #0,3: 26:[19, 17, 8] Operation: 35-27=8
Exploring Operation: 35-17=18, Resulting Numbers: [27, 19, 18]
Generated Node #0,4: 26:[27, 19, 18] Operation: 35-17=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[27, 17, 16], Operations: ['35-19=16']
Exploring Operation: 17-16=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 26:[27, 1] Operation: 17-16=1
Exploring Operation: 27-16=11, Resulting Numbers: [17, 11]
Generated Node #0,0,1: 26:[17, 11] Operation: 27-16=11
Exploring Operation: 17+16=33, Resulting Numbers: [27, 33]
Generated Node #0,0,2: 26:[27, 33] Operation: 17+16=33
Exploring Operation: 27+17=44, Resulting Numbers: [16, 44]
Generated Node #0,0,3: 26:[16, 44] Operation: 27+17=44
Exploring Operation: 27-17=10, Resulting Numbers: [16, 10]
Generated Node #0,0,4: 26:[16, 10] Operation: 27-17=10
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 26:[27, 1], Operations: ['35-19=16', '17-16=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,26 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Moving to Node #0
Current State: 26:[27, 35, 19, 17], Operations: []
Exploring Operation: 35-19=16, Resulting Numbers: [27, 17, 16]
Generated Node #0,0: 26:[27, 17, 16] Operation: 35-19=16
Moving to Node #0,0
Current State: 26:[27, 17, 16], Operations: ['35-19=16']
Exploring Operation: 17-16=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 26:[27, 1] Operation: 17-16=1
Moving to Node #0,0,0
Current State: 26:[27, 1], Operations: ['35-19=16', '17-16=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
55,
86,
10,
84
] | 43 | [
"86-55=31",
"84-10=74",
"74-31=43"
] | Current State: 43:[55, 86, 10, 84], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [10, 84, 31]
Generated Node #2: [10, 84, 31] from Operation: 86-55=31
Current State: 43:[10, 84, 31], Operations: ['86-55=31']
Exploring Operation: 84-10=74, Resulting Numbers: [31, 74]
Generated Node #3: [31, 74] from Operation: 84-10=74
Current State: 43:[31, 74], Operations: ['86-55=31', '84-10=74']
Exploring Operation: 74-31=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[55, 86, 10, 84], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [86, 84, 45]
Generated Node #0,0: 43:[86, 84, 45] Operation: 55-10=45
Exploring Operation: 86-55=31, Resulting Numbers: [10, 84, 31]
Generated Node #0,1: 43:[10, 84, 31] Operation: 86-55=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[86, 84, 45], Operations: ['55-10=45']
Exploring Operation: 86-45=41, Resulting Numbers: [84, 41]
Generated Node #0,0,0: 43:[84, 41] Operation: 86-45=41
Exploring Operation: 86-84=2, Resulting Numbers: [45, 2]
Generated Node #0,0,1: 43:[45, 2] Operation: 86-84=2
Moving to Node #0,0,0
Current State: 43:[84, 41], Operations: ['55-10=45', '86-45=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[55, 86, 10, 84], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [86, 84, 45]
Generated Node #0,0: 43:[86, 84, 45] Operation: 55-10=45
Moving to Node #0,0
Current State: 43:[86, 84, 45], Operations: ['55-10=45']
Exploring Operation: 86-45=41, Resulting Numbers: [84, 41]
Generated Node #0,0,0: 43:[84, 41] Operation: 86-45=41
Moving to Node #0,0,0
Current State: 43:[84, 41], Operations: ['55-10=45', '86-45=41']
Exploring Operation: 84-41=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
51,
11,
71,
69
] | 100 | [
"51-11=40",
"71+69=140",
"140-40=100"
] | Current State: 100:[51, 11, 71, 69], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [71, 69, 40]
Generated Node #2: [71, 69, 40] from Operation: 51-11=40
Current State: 100:[71, 69, 40], Operations: ['51-11=40']
Exploring Operation: 71+69=140, Resulting Numbers: [40, 140]
Generated Node #3: [40, 140] from Operation: 71+69=140
Current State: 100:[40, 140], Operations: ['51-11=40', '71+69=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[51, 11, 71, 69], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [51, 11, 2]
Generated Node #0,0: 100:[51, 11, 2] Operation: 71-69=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[51, 11, 2], Operations: ['71-69=2']
Exploring Operation: 51-2=49, Resulting Numbers: [11, 49]
Generated Node #0,0,0: 100:[11, 49] Operation: 51-2=49
Moving to Node #0,0,0
Current State: 100:[11, 49], Operations: ['71-69=2', '51-2=49']
Exploring Operation: 11+49=60, Resulting Numbers: [60]
60,100 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 |
[
48,
5,
71,
88
] | 64 | [
"48*88=4224",
"71-5=66",
"4224/66=64"
] | Current State: 64:[48, 5, 71, 88], Operations: []
Exploring Operation: 48*88=4224, Resulting Numbers: [5, 71, 4224]
Generated Node #2: [5, 71, 4224] from Operation: 48*88=4224
Current State: 64:[5, 71, 4224], Operations: ['48*88=4224']
Exploring Operation: 71-5=66, Resulting Numbers: [4224, 66]
Generated Node #3: [4224, 66] from Operation: 71-5=66
Current State: 64:[4224, 66], Operations: ['48*88=4224', '71-5=66']
Exploring Operation: 4224/66=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[48, 5, 71, 88], Operations: []
Exploring Operation: 88-48=40, Resulting Numbers: [5, 71, 40]
Generated Node #0,0: 64:[5, 71, 40] Operation: 88-48=40
Exploring Operation: 88-71=17, Resulting Numbers: [48, 5, 17]
Generated Node #0,1: 64:[48, 5, 17] Operation: 88-71=17
Exploring Operation: 71-48=23, Resulting Numbers: [5, 88, 23]
Generated Node #0,2: 64:[5, 88, 23] Operation: 71-48=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 64:[5, 71, 40], Operations: ['88-48=40']
Exploring Operation: 71-5=66, Resulting Numbers: [40, 66]
Generated Node #0,0,0: 64:[40, 66] Operation: 71-5=66
Exploring Operation: 40/5=8, Resulting Numbers: [71, 8]
Generated Node #0,0,1: 64:[71, 8] Operation: 40/5=8
Exploring Operation: 71-40=31, Resulting Numbers: [5, 31]
Generated Node #0,0,2: 64:[5, 31] Operation: 71-40=31
Moving to Node #0,0,2
Current State: 64:[5, 31], Operations: ['88-48=40', '71-40=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,64 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[71, 8], Operations: ['88-48=40', '40/5=8']
Exploring Operation: 71+8=79, Resulting Numbers: [79]
79,64 unequal: No Solution
Exploring Operation: 71*8=568, Resulting Numbers: [568]
568,64 unequal: No Solution
Exploring Operation: 71-8=63, Resulting Numbers: [63]
63,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[40, 66], Operations: ['88-48=40', '71-5=66']
Exploring Operation: 40+66=106, Resulting Numbers: [106]
106,64 unequal: No Solution
Exploring Operation: 40*66=2640, Resulting Numbers: [2640]
2640,64 unequal: No Solution
Exploring Operation: 66-40=26, Resulting Numbers: [26]
26,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 64:[48, 5, 17], Operations: ['88-71=17']
Exploring Operation: 48+17=65, Resulting Numbers: [5, 65]
Generated Node #0,1,0: 64:[5, 65] Operation: 48+17=65
Exploring Operation: 48+5=53, Resulting Numbers: [17, 53]
Generated Node #0,1,1: 64:[17, 53] Operation: 48+5=53
Exploring Operation: 48-17=31, Resulting Numbers: [5, 31]
Generated Node #0,1,2: 64:[5, 31] Operation: 48-17=31
Moving to Node #0,1,0
Current State: 64:[5, 65], Operations: ['88-71=17', '48+17=65']
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[5, 31], Operations: ['88-71=17', '48-17=31']
Exploring Operation: 31-5=26, Resulting Numbers: [26]
26,64 unequal: No Solution
Exploring Operation: 5+31=36, Resulting Numbers: [36]
36,64 unequal: No Solution
Exploring Operation: 5*31=155, Resulting Numbers: [155]
155,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[17, 53], Operations: ['88-71=17', '48+5=53']
Exploring Operation: 17*53=901, Resulting Numbers: [901]
901,64 unequal: No Solution
Exploring Operation: 17+53=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Exploring Operation: 53-17=36, Resulting Numbers: [36]
36,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 64:[5, 88, 23], Operations: ['71-48=23']
Exploring Operation: 88-5=83, Resulting Numbers: [23, 83]
Generated Node #0,2,0: 64:[23, 83] Operation: 88-5=83
Exploring Operation: 88-23=65, Resulting Numbers: [5, 65]
Generated Node #0,2,1: 64:[5, 65] Operation: 88-23=65
Exploring Operation: 23-5=18, Resulting Numbers: [88, 18]
Generated Node #0,2,2: 64:[88, 18] Operation: 23-5=18
Moving to Node #0,2,1
Current State: 64:[5, 65], Operations: ['71-48=23', '88-23=65']
Exploring Operation: 65/5=13, Resulting Numbers: [13]
13,64 unequal: No Solution
Exploring Operation: 65-5=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 5+65=70, Resulting Numbers: [70]
70,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[23, 83], Operations: ['71-48=23', '88-5=83']
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,64 unequal: No Solution
Exploring Operation: 23*83=1909, Resulting Numbers: [1909]
1909,64 unequal: No Solution
Exploring Operation: 23+83=106, Resulting Numbers: [106]
106,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[88, 18], Operations: ['71-48=23', '23-5=18']
Exploring Operation: 88*18=1584, Resulting Numbers: [1584]
1584,64 unequal: No Solution
Exploring Operation: 88+18=106, Resulting Numbers: [106]
106,64 unequal: No Solution
Exploring Operation: 88-18=70, Resulting Numbers: [70]
70,64 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 |
[
16,
54,
42,
94
] | 66 | [
"16+54=70",
"42+94=136",
"136-70=66"
] | Current State: 66:[16, 54, 42, 94], Operations: []
Exploring Operation: 16+54=70, Resulting Numbers: [42, 94, 70]
Generated Node #2: [42, 94, 70] from Operation: 16+54=70
Current State: 66:[42, 94, 70], Operations: ['16+54=70']
Exploring Operation: 42+94=136, Resulting Numbers: [70, 136]
Generated Node #3: [70, 136] from Operation: 42+94=136
Current State: 66:[70, 136], Operations: ['16+54=70', '42+94=136']
Exploring Operation: 136-70=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[16, 54, 42, 94], Operations: []
Exploring Operation: 94-42=52, Resulting Numbers: [16, 54, 52]
Generated Node #0,0: 66:[16, 54, 52] Operation: 94-42=52
Exploring Operation: 94-54=40, Resulting Numbers: [16, 42, 40]
Generated Node #0,1: 66:[16, 42, 40] Operation: 94-54=40
Exploring Operation: 94-16=78, Resulting Numbers: [54, 42, 78]
Generated Node #0,2: 66:[54, 42, 78] Operation: 94-16=78
Exploring Operation: 54-42=12, Resulting Numbers: [16, 94, 12]
Generated Node #0,3: 66:[16, 94, 12] Operation: 54-42=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[16, 42, 40], Operations: ['94-54=40']
Exploring Operation: 42-40=2, Resulting Numbers: [16, 2]
Generated Node #0,1,0: 66:[16, 2] Operation: 42-40=2
Exploring Operation: 16+42=58, Resulting Numbers: [40, 58]
Generated Node #0,1,1: 66:[40, 58] Operation: 16+42=58
Exploring Operation: 40-16=24, Resulting Numbers: [42, 24]
Generated Node #0,1,2: 66:[42, 24] Operation: 40-16=24
Exploring Operation: 42-16=26, Resulting Numbers: [40, 26]
Generated Node #0,1,3: 66:[40, 26] Operation: 42-16=26
Moving to Node #0,1,0
Current State: 66:[16, 2], Operations: ['94-54=40', '42-40=2']
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,66 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[40, 26], Operations: ['94-54=40', '42-16=26']
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[16, 54, 42, 94], Operations: []
Exploring Operation: 94-54=40, Resulting Numbers: [16, 42, 40]
Generated Node #0,1: 66:[16, 42, 40] Operation: 94-54=40
Moving to Node #0,1
Current State: 66:[16, 42, 40], Operations: ['94-54=40']
Exploring Operation: 42-16=26, Resulting Numbers: [40, 26]
Generated Node #0,1,3: 66:[40, 26] Operation: 42-16=26
Moving to Node #0,1,3
Current State: 66:[40, 26], Operations: ['94-54=40', '42-16=26']
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | mult_heuristic |
[
45,
8,
74,
31
] | 11 | [
"45+74=119",
"119-31=88",
"88/8=11"
] | Current State: 11:[45, 8, 74, 31], Operations: []
Exploring Operation: 45+74=119, Resulting Numbers: [8, 31, 119]
Generated Node #2: [8, 31, 119] from Operation: 45+74=119
Current State: 11:[8, 31, 119], Operations: ['45+74=119']
Exploring Operation: 119-31=88, Resulting Numbers: [8, 88]
Generated Node #3: [8, 88] from Operation: 119-31=88
Current State: 11:[8, 88], Operations: ['45+74=119', '119-31=88']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[45, 8, 74, 31], Operations: []
Exploring Operation: 74-45=29, Resulting Numbers: [8, 31, 29]
Generated Node #0,0: 11:[8, 31, 29] Operation: 74-45=29
Start Sub Search at level 1: Moving to Node #0,0
Current State: 11:[8, 31, 29], Operations: ['74-45=29']
Exploring Operation: 31-29=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 11:[8, 2] Operation: 31-29=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 11:[8, 2], Operations: ['74-45=29', '31-29=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,11 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 |
[
63,
32,
35,
76
] | 10 | [
"63-32=31",
"76-35=41",
"41-31=10"
] | Current State: 10:[63, 32, 35, 76], Operations: []
Exploring Operation: 63-32=31, Resulting Numbers: [35, 76, 31]
Generated Node #2: [35, 76, 31] from Operation: 63-32=31
Current State: 10:[35, 76, 31], Operations: ['63-32=31']
Exploring Operation: 76-35=41, Resulting Numbers: [31, 41]
Generated Node #3: [31, 41] from Operation: 76-35=41
Current State: 10:[31, 41], Operations: ['63-32=31', '76-35=41']
Exploring Operation: 41-31=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[63, 32, 35, 76], Operations: []
Exploring Operation: 63-35=28, Resulting Numbers: [32, 76, 28]
Generated Node #0,0: 10:[32, 76, 28] Operation: 63-35=28
Exploring Operation: 63-32=31, Resulting Numbers: [35, 76, 31]
Generated Node #0,1: 10:[35, 76, 31] Operation: 63-32=31
Exploring Operation: 76-63=13, Resulting Numbers: [32, 35, 13]
Generated Node #0,2: 10:[32, 35, 13] Operation: 76-63=13
Exploring Operation: 76-35=41, Resulting Numbers: [63, 32, 41]
Generated Node #0,3: 10:[63, 32, 41] Operation: 76-35=41
Moving to Node #0,2
Current State: 10:[32, 35, 13], Operations: ['76-63=13']
Exploring Operation: 32+35=67, Resulting Numbers: [13, 67]
Generated Node #0,2,0: 10:[13, 67] Operation: 32+35=67
Exploring Operation: 35-13=22, Resulting Numbers: [32, 22]
Generated Node #0,2,1: 10:[32, 22] Operation: 35-13=22
Exploring Operation: 35-32=3, Resulting Numbers: [13, 3]
Generated Node #0,2,2: 10:[13, 3] Operation: 35-32=3
Exploring Operation: 32-13=19, Resulting Numbers: [35, 19]
Generated Node #0,2,3: 10:[35, 19] Operation: 32-13=19
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 10:[13, 3], Operations: ['76-63=13', '35-32=3']
Exploring Operation: 13+3=16, Resulting Numbers: [16]
16,10 unequal: No Solution
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,10 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Moving to Node #0
Current State: 10:[63, 32, 35, 76], Operations: []
Exploring Operation: 76-63=13, Resulting Numbers: [32, 35, 13]
Generated Node #0,2: 10:[32, 35, 13] Operation: 76-63=13
Moving to Node #0,2
Current State: 10:[32, 35, 13], Operations: ['76-63=13']
Exploring Operation: 35-32=3, Resulting Numbers: [13, 3]
Generated Node #0,2,2: 10:[13, 3] Operation: 35-32=3
Moving to Node #0,2,2
Current State: 10:[13, 3], Operations: ['76-63=13', '35-32=3']
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
69,
42,
54,
50
] | 52 | [
"69-42=27",
"54/27=2",
"50+2=52"
] | Current State: 52:[69, 42, 54, 50], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [54, 50, 27]
Generated Node #2: [54, 50, 27] from Operation: 69-42=27
Current State: 52:[54, 50, 27], Operations: ['69-42=27']
Exploring Operation: 54/27=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 54/27=2
Current State: 52:[50, 2], Operations: ['69-42=27', '54/27=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[69, 42, 54, 50], Operations: []
Exploring Operation: 69-54=15, Resulting Numbers: [42, 50, 15]
Generated Node #0,0: 52:[42, 50, 15] Operation: 69-54=15
Exploring Operation: 54-42=12, Resulting Numbers: [69, 50, 12]
Generated Node #0,1: 52:[69, 50, 12] Operation: 54-42=12
Exploring Operation: 69-50=19, Resulting Numbers: [42, 54, 19]
Generated Node #0,2: 52:[42, 54, 19] Operation: 69-50=19
Exploring Operation: 69-42=27, Resulting Numbers: [54, 50, 27]
Generated Node #0,3: 52:[54, 50, 27] Operation: 69-42=27
Moving to Node #0,3
Current State: 52:[54, 50, 27], Operations: ['69-42=27']
Exploring Operation: 54-50=4, Resulting Numbers: [27, 4]
Generated Node #0,3,0: 52:[27, 4] Operation: 54-50=4
Exploring Operation: 54-27=27, Resulting Numbers: [50, 27]
Generated Node #0,3,1: 52:[50, 27] Operation: 54-27=27
Exploring Operation: 54/27=2, Resulting Numbers: [50, 2]
Generated Node #0,3,2: 52:[50, 2] Operation: 54/27=2
Exploring Operation: 50-27=23, Resulting Numbers: [54, 23]
Generated Node #0,3,3: 52:[54, 23] Operation: 50-27=23
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 52:[27, 4], Operations: ['69-42=27', '54-50=4']
Exploring Operation: 27*4=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 27-4=23, Resulting Numbers: [23]
23,52 unequal: No Solution
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[50, 2], Operations: ['69-42=27', '54/27=2']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,52 unequal: No Solution
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,52 unequal: No Solution
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[69, 42, 54, 50], Operations: []
Exploring Operation: 69-42=27, Resulting Numbers: [54, 50, 27]
Generated Node #0,3: 52:[54, 50, 27] Operation: 69-42=27
Moving to Node #0,3
Current State: 52:[54, 50, 27], Operations: ['69-42=27']
Exploring Operation: 54/27=2, Resulting Numbers: [50, 2]
Generated Node #0,3,2: 52:[50, 2] Operation: 54/27=2
Moving to Node #0,3,2
Current State: 52:[50, 2], Operations: ['69-42=27', '54/27=2']
Exploring Operation: 50+2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
74,
8,
55,
16
] | 43 | [
"74+8=82",
"55-16=39",
"82-39=43"
] | Current State: 43:[74, 8, 55, 16], Operations: []
Exploring Operation: 74+8=82, Resulting Numbers: [55, 16, 82]
Generated Node #2: [55, 16, 82] from Operation: 74+8=82
Current State: 43:[55, 16, 82], Operations: ['74+8=82']
Exploring Operation: 55-16=39, Resulting Numbers: [82, 39]
Generated Node #3: [82, 39] from Operation: 55-16=39
Current State: 43:[82, 39], Operations: ['74+8=82', '55-16=39']
Exploring Operation: 82-39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[74, 8, 55, 16], Operations: []
Exploring Operation: 55-8=47, Resulting Numbers: [74, 16, 47]
Generated Node #0,0: 43:[74, 16, 47] Operation: 55-8=47
Exploring Operation: 55-16=39, Resulting Numbers: [74, 8, 39]
Generated Node #0,1: 43:[74, 8, 39] Operation: 55-16=39
Exploring Operation: 8+16=24, Resulting Numbers: [74, 55, 24]
Generated Node #0,2: 43:[74, 55, 24] Operation: 8+16=24
Exploring Operation: 74-8=66, Resulting Numbers: [55, 16, 66]
Generated Node #0,3: 43:[55, 16, 66] Operation: 74-8=66
Exploring Operation: 74-16=58, Resulting Numbers: [8, 55, 58]
Generated Node #0,4: 43:[8, 55, 58] Operation: 74-16=58
Start Sub Search at level 1: Moving to Node #0,0
Current State: 43:[74, 16, 47], Operations: ['55-8=47']
Exploring Operation: 16+47=63, Resulting Numbers: [74, 63]
Generated Node #0,0,0: 43:[74, 63] Operation: 16+47=63
Exploring Operation: 74+16=90, Resulting Numbers: [47, 90]
Generated Node #0,0,1: 43:[47, 90] Operation: 74+16=90
Exploring Operation: 74-47=27, Resulting Numbers: [16, 27]
Generated Node #0,0,2: 43:[16, 27] Operation: 74-47=27
Exploring Operation: 74-16=58, Resulting Numbers: [47, 58]
Generated Node #0,0,3: 43:[47, 58] Operation: 74-16=58
Exploring Operation: 47-16=31, Resulting Numbers: [74, 31]
Generated Node #0,0,4: 43:[74, 31] Operation: 47-16=31
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 43:[47, 58], Operations: ['55-8=47', '74-16=58']
Exploring Operation: 58-47=11, Resulting Numbers: [11]
11,43 unequal: No Solution
Exploring Operation: 47+58=105, Resulting Numbers: [105]
105,43 unequal: No Solution
Exploring Operation: 47*58=2726, Resulting Numbers: [2726]
2726,43 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 #0,0,2
Current State: 43:[16, 27], Operations: ['55-8=47', '74-47=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[74, 8, 55, 16], Operations: []
Exploring Operation: 55-8=47, Resulting Numbers: [74, 16, 47]
Generated Node #0,0: 43:[74, 16, 47] Operation: 55-8=47
Moving to Node #0,0
Current State: 43:[74, 16, 47], Operations: ['55-8=47']
Exploring Operation: 74-47=27, Resulting Numbers: [16, 27]
Generated Node #0,0,2: 43:[16, 27] Operation: 74-47=27
Moving to Node #0,0,2
Current State: 43:[16, 27], Operations: ['55-8=47', '74-47=27']
Exploring Operation: 16+27=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.984375 | hs_5 | sum_heuristic |
[
30,
53,
64,
1
] | 87 | [
"53-30=23",
"64*1=64",
"23+64=87"
] | Current State: 87:[30, 53, 64, 1], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [64, 1, 23]
Generated Node #2: [64, 1, 23] from Operation: 53-30=23
Current State: 87:[64, 1, 23], Operations: ['53-30=23']
Exploring Operation: 64*1=64, Resulting Numbers: [23, 64]
Generated Node #3: [23, 64] from Operation: 64*1=64
Current State: 87:[23, 64], Operations: ['53-30=23', '64*1=64']
Exploring Operation: 23+64=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[30, 53, 64, 1], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [30, 1, 11]
Generated Node #0,0: 87:[30, 1, 11] Operation: 64-53=11
Exploring Operation: 53-30=23, Resulting Numbers: [64, 1, 23]
Generated Node #0,1: 87:[64, 1, 23] Operation: 53-30=23
Exploring Operation: 30+53=83, Resulting Numbers: [64, 1, 83]
Generated Node #0,2: 87:[64, 1, 83] Operation: 30+53=83
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[30, 1, 11], Operations: ['64-53=11']
Exploring Operation: 30*1=30, Resulting Numbers: [11, 30]
Generated Node #0,0,0: 87:[11, 30] Operation: 30*1=30
Exploring Operation: 30-1=29, Resulting Numbers: [11, 29]
Generated Node #0,0,1: 87:[11, 29] Operation: 30-1=29
Exploring Operation: 11-1=10, Resulting Numbers: [30, 10]
Generated Node #0,0,2: 87:[30, 10] Operation: 11-1=10
Moving to Node #0,0,1
Current State: 87:[11, 29], Operations: ['64-53=11', '30-1=29']
Exploring Operation: 11*29=319, Resulting Numbers: [319]
319,87 unequal: No Solution
Exploring Operation: 29-11=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 11+29=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Moving to Node #0,0,2
Current State: 87:[30, 10], Operations: ['64-53=11', '11-1=10']
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,87 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[11, 30], Operations: ['64-53=11', '30*1=30']
Exploring Operation: 11*30=330, Resulting Numbers: [330]
330,87 unequal: No Solution
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,87 unequal: No Solution
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[64, 1, 83], Operations: ['30+53=83']
Exploring Operation: 1+83=84, Resulting Numbers: [64, 84]
Generated Node #0,2,0: 87:[64, 84] Operation: 1+83=84
Exploring Operation: 64+1=65, Resulting Numbers: [83, 65]
Generated Node #0,2,1: 87:[83, 65] Operation: 64+1=65
Exploring Operation: 83-64=19, Resulting Numbers: [1, 19]
Generated Node #0,2,2: 87:[1, 19] Operation: 83-64=19
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 87:[1, 19], Operations: ['30+53=83', '83-64=19']
Exploring Operation: 1+19=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,87 unequal: No Solution
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 87:[64, 84], Operations: ['30+53=83', '1+83=84']
Exploring Operation: 84-64=20, Resulting Numbers: [20]
20,87 unequal: No Solution
Exploring Operation: 64+84=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 64*84=5376, Resulting Numbers: [5376]
5376,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 87:[83, 65], Operations: ['30+53=83', '64+1=65']
Exploring Operation: 83+65=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 83*65=5395, Resulting Numbers: [5395]
5395,87 unequal: No Solution
Exploring Operation: 83-65=18, Resulting Numbers: [18]
18,87 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: 87:[64, 1, 23], Operations: ['53-30=23']
Exploring Operation: 64-23=41, Resulting Numbers: [1, 41]
Generated Node #0,1,0: 87:[1, 41] Operation: 64-23=41
Exploring Operation: 64+23=87, Resulting Numbers: [1, 87]
Generated Node #0,1,1: 87:[1, 87] Operation: 64+23=87
Exploring Operation: 64+1=65, Resulting Numbers: [23, 65]
Generated Node #0,1,2: 87:[23, 65] Operation: 64+1=65
Moving to Node #0,1,1
Current State: 87:[1, 87], Operations: ['53-30=23', '64+23=87']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[30, 53, 64, 1], Operations: []
Exploring Operation: 53-30=23, Resulting Numbers: [64, 1, 23]
Generated Node #0,1: 87:[64, 1, 23] Operation: 53-30=23
Moving to Node #0,1
Current State: 87:[64, 1, 23], Operations: ['53-30=23']
Exploring Operation: 64+23=87, Resulting Numbers: [1, 87]
Generated Node #0,1,1: 87:[1, 87] Operation: 64+23=87
Moving to Node #0,1,1
Current State: 87:[1, 87], Operations: ['53-30=23', '64+23=87']
Exploring Operation: 87/1=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_3 | mult_heuristic |
[
25,
26,
77,
66
] | 92 | [
"25+26=51",
"77+66=143",
"143-51=92"
] | Current State: 92:[25, 26, 77, 66], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [77, 66, 51]
Generated Node #2: [77, 66, 51] from Operation: 25+26=51
Current State: 92:[77, 66, 51], Operations: ['25+26=51']
Exploring Operation: 77+66=143, Resulting Numbers: [51, 143]
Generated Node #3: [51, 143] from Operation: 77+66=143
Current State: 92:[51, 143], Operations: ['25+26=51', '77+66=143']
Exploring Operation: 143-51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[25, 26, 77, 66], Operations: []
Exploring Operation: 26+66=92, Resulting Numbers: [25, 77, 92]
Generated Node #0,0: 92:[25, 77, 92] Operation: 26+66=92
Exploring Operation: 25+66=91, Resulting Numbers: [26, 77, 91]
Generated Node #0,1: 92:[26, 77, 91] Operation: 25+66=91
Exploring Operation: 66-25=41, Resulting Numbers: [26, 77, 41]
Generated Node #0,2: 92:[26, 77, 41] Operation: 66-25=41
Exploring Operation: 77-66=11, Resulting Numbers: [25, 26, 11]
Generated Node #0,3: 92:[25, 26, 11] Operation: 77-66=11
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[25, 26, 11], Operations: ['77-66=11']
Exploring Operation: 26-11=15, Resulting Numbers: [25, 15]
Generated Node #0,3,0: 92:[25, 15] Operation: 26-11=15
Exploring Operation: 25+26=51, Resulting Numbers: [11, 51]
Generated Node #0,3,1: 92:[11, 51] Operation: 25+26=51
Exploring Operation: 26-25=1, Resulting Numbers: [11, 1]
Generated Node #0,3,2: 92:[11, 1] Operation: 26-25=1
Exploring Operation: 26+11=37, Resulting Numbers: [25, 37]
Generated Node #0,3,3: 92:[25, 37] Operation: 26+11=37
Moving to Node #0,3,2
Current State: 92:[11, 1], Operations: ['77-66=11', '26-25=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,92 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Moving to Node #0,3,0
Current State: 92:[25, 15], Operations: ['77-66=11', '26-11=15']
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,92 unequal: No Solution
Moving to Node #0,3,3
Current State: 92:[25, 37], Operations: ['77-66=11', '26+11=37']
Exploring Operation: 25+37=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 25*37=925, Resulting Numbers: [925]
925,92 unequal: No Solution
Moving to Node #0,3,1
Current State: 92:[11, 51], Operations: ['77-66=11', '25+26=51']
Exploring Operation: 11+51=62, Resulting Numbers: [62]
62,92 unequal: No Solution
Exploring Operation: 11*51=561, Resulting Numbers: [561]
561,92 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,92 unequal: No Solution
No 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: 92:[25, 77, 92], Operations: ['26+66=92']
Exploring Operation: 25+77=102, Resulting Numbers: [92, 102]
Generated Node #0,0,0: 92:[92, 102] Operation: 25+77=102
Exploring Operation: 92-25=67, Resulting Numbers: [77, 67]
Generated Node #0,0,1: 92:[77, 67] Operation: 92-25=67
Exploring Operation: 77-25=52, Resulting Numbers: [92, 52]
Generated Node #0,0,2: 92:[92, 52] Operation: 77-25=52
Exploring Operation: 92-77=15, Resulting Numbers: [25, 15]
Generated Node #0,0,3: 92:[25, 15] Operation: 92-77=15
Moving to Node #0,0,2
Current State: 92:[92, 52], Operations: ['26+66=92', '77-25=52']
Exploring Operation: 92-52=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 92+52=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Exploring Operation: 92*52=4784, Resulting Numbers: [4784]
4784,92 unequal: No Solution
Moving to Node #0,0,3
Current State: 92:[25, 15], Operations: ['26+66=92', '92-77=15']
Exploring Operation: 25+15=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 25*15=375, Resulting Numbers: [375]
375,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[92, 102], Operations: ['26+66=92', '25+77=102']
Exploring Operation: 92+102=194, Resulting Numbers: [194]
194,92 unequal: No Solution
Exploring Operation: 92*102=9384, Resulting Numbers: [9384]
9384,92 unequal: No Solution
Exploring Operation: 102-92=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[77, 67], Operations: ['26+66=92', '92-25=67']
Exploring Operation: 77+67=144, Resulting Numbers: [144]
144,92 unequal: No Solution
Exploring Operation: 77-67=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 77*67=5159, Resulting Numbers: [5159]
5159,92 unequal: No Solution
No 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: 92:[26, 77, 91], Operations: ['25+66=91']
Exploring Operation: 77-26=51, Resulting Numbers: [91, 51]
Generated Node #0,1,0: 92:[91, 51] Operation: 77-26=51
Exploring Operation: 91-77=14, Resulting Numbers: [26, 14]
Generated Node #0,1,1: 92:[26, 14] Operation: 91-77=14
Exploring Operation: 91-26=65, Resulting Numbers: [77, 65]
Generated Node #0,1,2: 92:[77, 65] Operation: 91-26=65
Exploring Operation: 26+77=103, Resulting Numbers: [91, 103]
Generated Node #0,1,3: 92:[91, 103] Operation: 26+77=103
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 92:[91, 51], Operations: ['25+66=91', '77-26=51']
Exploring Operation: 91+51=142, Resulting Numbers: [142]
142,92 unequal: No Solution
Exploring Operation: 91*51=4641, Resulting Numbers: [4641]
4641,92 unequal: No Solution
Exploring Operation: 91-51=40, Resulting Numbers: [40]
40,92 unequal: No Solution
No 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: 92:[26, 14], Operations: ['25+66=91', '91-77=14']
Exploring Operation: 26*14=364, Resulting Numbers: [364]
364,92 unequal: No Solution
Exploring Operation: 26+14=40, Resulting Numbers: [40]
40,92 unequal: No Solution
Exploring Operation: 26-14=12, Resulting Numbers: [12]
12,92 unequal: No Solution
No 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: 92:[91, 103], Operations: ['25+66=91', '26+77=103']
Exploring Operation: 103-91=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 91+103=194, Resulting Numbers: [194]
194,92 unequal: No Solution
Exploring Operation: 91*103=9373, Resulting Numbers: [9373]
9373,92 unequal: No Solution
No 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: 92:[77, 65], Operations: ['25+66=91', '91-26=65']
Exploring Operation: 77-65=12, Resulting Numbers: [12]
12,92 unequal: No Solution
Exploring Operation: 77*65=5005, Resulting Numbers: [5005]
5005,92 unequal: No Solution
Exploring Operation: 77+65=142, Resulting Numbers: [142]
142,92 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: 92:[26, 77, 41], Operations: ['66-25=41']
Exploring Operation: 77-41=36, Resulting Numbers: [26, 36]
Generated Node #0,2,0: 92:[26, 36] Operation: 77-41=36
Exploring Operation: 26+77=103, Resulting Numbers: [41, 103]
Generated Node #0,2,1: 92:[41, 103] Operation: 26+77=103
Exploring Operation: 41-26=15, Resulting Numbers: [77, 15]
Generated Node #0,2,2: 92:[77, 15] Operation: 41-26=15
Exploring Operation: 77-26=51, Resulting Numbers: [41, 51]
Generated Node #0,2,3: 92:[41, 51] Operation: 77-26=51
Moving to Node #0,2,3
Current State: 92:[41, 51], Operations: ['66-25=41', '77-26=51']
Exploring Operation: 41*51=2091, Resulting Numbers: [2091]
2091,92 unequal: No Solution
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[25, 26, 77, 66], Operations: []
Exploring Operation: 66-25=41, Resulting Numbers: [26, 77, 41]
Generated Node #0,2: 92:[26, 77, 41] Operation: 66-25=41
Moving to Node #0,2
Current State: 92:[26, 77, 41], Operations: ['66-25=41']
Exploring Operation: 77-26=51, Resulting Numbers: [41, 51]
Generated Node #0,2,3: 92:[41, 51] Operation: 77-26=51
Moving to Node #0,2,3
Current State: 92:[41, 51], Operations: ['66-25=41', '77-26=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Exit Sub Search at level 1
| 0.945313 | hs_4 | mult_heuristic |
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