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 |
|---|---|---|---|---|---|---|---|---|
[
90,
10,
33,
16
] | 58 | [
"90/10=9",
"33+16=49",
"9+49=58"
] | Current State: 58:[90, 10, 33, 16], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [33, 16, 9]
Generated Node #2: [33, 16, 9] from Operation: 90/10=9
Current State: 58:[33, 16, 9], Operations: ['90/10=9']
Exploring Operation: 33+16=49, Resulting Numbers: [9, 49]
Generated Node #3: [9, 49] from Operation: 33+16=49
Current State: 58:[9, 49], Operations: ['90/10=9', '33+16=49']
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[90, 10, 33, 16], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [10, 33, 74]
Generated Node #0,0: 58:[10, 33, 74] Operation: 90-16=74
Exploring Operation: 90/10=9, Resulting Numbers: [33, 16, 9]
Generated Node #0,1: 58:[33, 16, 9] Operation: 90/10=9
Exploring Operation: 90-33=57, Resulting Numbers: [10, 16, 57]
Generated Node #0,2: 58:[10, 16, 57] Operation: 90-33=57
Start Sub Search at level 1: Moving to Node #0,2
Current State: 58:[10, 16, 57], Operations: ['90-33=57']
Exploring Operation: 10+16=26, Resulting Numbers: [57, 26]
Generated Node #0,2,0: 58:[57, 26] Operation: 10+16=26
Exploring Operation: 57-16=41, Resulting Numbers: [10, 41]
Generated Node #0,2,1: 58:[10, 41] Operation: 57-16=41
Exploring Operation: 16-10=6, Resulting Numbers: [57, 6]
Generated Node #0,2,2: 58:[57, 6] Operation: 16-10=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 58:[57, 26], Operations: ['90-33=57', '10+16=26']
Exploring Operation: 57-26=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 57*26=1482, Resulting Numbers: [1482]
1482,58 unequal: No Solution
Exploring Operation: 57+26=83, Resulting Numbers: [83]
83,58 unequal: No Solution
No 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: 58:[57, 6], Operations: ['90-33=57', '16-10=6']
Exploring Operation: 57-6=51, Resulting Numbers: [51]
51,58 unequal: No Solution
Exploring Operation: 57+6=63, Resulting Numbers: [63]
63,58 unequal: No Solution
Exploring Operation: 57*6=342, Resulting Numbers: [342]
342,58 unequal: No Solution
No 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: 58:[10, 41], Operations: ['90-33=57', '57-16=41']
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,58 unequal: No Solution
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,58 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: 58:[33, 16, 9], Operations: ['90/10=9']
Exploring Operation: 33+16=49, Resulting Numbers: [9, 49]
Generated Node #0,1,0: 58:[9, 49] Operation: 33+16=49
Exploring Operation: 16-9=7, Resulting Numbers: [33, 7]
Generated Node #0,1,1: 58:[33, 7] Operation: 16-9=7
Exploring Operation: 16+9=25, Resulting Numbers: [33, 25]
Generated Node #0,1,2: 58:[33, 25] Operation: 16+9=25
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 58:[33, 25], Operations: ['90/10=9', '16+9=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[90, 10, 33, 16], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [33, 16, 9]
Generated Node #0,1: 58:[33, 16, 9] Operation: 90/10=9
Moving to Node #0,1
Current State: 58:[33, 16, 9], Operations: ['90/10=9']
Exploring Operation: 16+9=25, Resulting Numbers: [33, 25]
Generated Node #0,1,2: 58:[33, 25] Operation: 16+9=25
Moving to Node #0,1,2
Current State: 58:[33, 25], Operations: ['90/10=9', '16+9=25']
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.980035 | hs_3 | sum_heuristic |
[
77,
67,
74,
77
] | 74 | [
"77-77=0",
"67*0=0",
"74+0=74"
] | Current State: 74:[77, 67, 74, 77], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0]
Generated Node #2: [67, 74, 0] from Operation: 77-77=0
Current State: 74:[67, 74, 0], Operations: ['77-77=0']
Exploring Operation: 67*0=0, Resulting Numbers: [74, 0]
Generated Node #3: [74, 0] from Operation: 67*0=0
Current State: 74:[74, 0], Operations: ['77-77=0', '67*0=0']
Exploring Operation: 74+0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 | Current State: 74:[77, 67, 74, 77], Operations: []
Exploring Operation: 77/77=1, Resulting Numbers: [67, 74, 1]
Generated Node #0,0: 74:[67, 74, 1] Operation: 77/77=1
Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0]
Generated Node #0,1: 74:[67, 74, 0] Operation: 77-77=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 74:[67, 74, 1], Operations: ['77/77=1']
Exploring Operation: 67+1=68, Resulting Numbers: [74, 68]
Generated Node #0,0,0: 74:[74, 68] Operation: 67+1=68
Exploring Operation: 74-67=7, Resulting Numbers: [1, 7]
Generated Node #0,0,1: 74:[1, 7] Operation: 74-67=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 74:[74, 68], Operations: ['77/77=1', '67+1=68']
Exploring Operation: 74+68=142, Resulting Numbers: [142]
142,74 unequal: No Solution
Exploring Operation: 74-68=6, Resulting Numbers: [6]
6,74 unequal: No Solution
No 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: 74:[1, 7], Operations: ['77/77=1', '74-67=7']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,74 unequal: No Solution
Exploring Operation: 1*7=7, Resulting Numbers: [7]
7,74 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 74:[67, 74, 0], Operations: ['77-77=0']
Exploring Operation: 67*0=0, Resulting Numbers: [74, 0]
Generated Node #0,1,0: 74:[74, 0] Operation: 67*0=0
Exploring Operation: 74-67=7, Resulting Numbers: [0, 7]
Generated Node #0,1,1: 74:[0, 7] Operation: 74-67=7
Moving to Node #0,1,0
Current State: 74:[74, 0], Operations: ['77-77=0', '67*0=0']
Exploring Operation: 74-0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Moving to Node #0
Current State: 74:[77, 67, 74, 77], Operations: []
Exploring Operation: 77-77=0, Resulting Numbers: [67, 74, 0]
Generated Node #0,1: 74:[67, 74, 0] Operation: 77-77=0
Moving to Node #0,1
Current State: 74:[67, 74, 0], Operations: ['77-77=0']
Exploring Operation: 67*0=0, Resulting Numbers: [74, 0]
Generated Node #0,1,0: 74:[74, 0] Operation: 67*0=0
Moving to Node #0,1,0
Current State: 74:[74, 0], Operations: ['77-77=0', '67*0=0']
Exploring Operation: 74-0=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_2 | mult_heuristic |
[
99,
77,
14,
97
] | 89 | [
"99-77=22",
"14+97=111",
"111-22=89"
] | Current State: 89:[99, 77, 14, 97], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [14, 97, 22]
Generated Node #2: [14, 97, 22] from Operation: 99-77=22
Current State: 89:[14, 97, 22], Operations: ['99-77=22']
Exploring Operation: 14+97=111, Resulting Numbers: [22, 111]
Generated Node #3: [22, 111] from Operation: 14+97=111
Current State: 89:[22, 111], Operations: ['99-77=22', '14+97=111']
Exploring Operation: 111-22=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[99, 77, 14, 97], Operations: []
Exploring Operation: 77-14=63, Resulting Numbers: [99, 97, 63]
Generated Node #0,0: 89:[99, 97, 63] Operation: 77-14=63
Exploring Operation: 97-14=83, Resulting Numbers: [99, 77, 83]
Generated Node #0,1: 89:[99, 77, 83] Operation: 97-14=83
Exploring Operation: 99+14=113, Resulting Numbers: [77, 97, 113]
Generated Node #0,2: 89:[77, 97, 113] Operation: 99+14=113
Exploring Operation: 77+14=91, Resulting Numbers: [99, 97, 91]
Generated Node #0,3: 89:[99, 97, 91] Operation: 77+14=91
Exploring Operation: 99-14=85, Resulting Numbers: [77, 97, 85]
Generated Node #0,4: 89:[77, 97, 85] Operation: 99-14=85
Moving to Node #0,3
Current State: 89:[99, 97, 91], Operations: ['77+14=91']
Exploring Operation: 99+97=196, Resulting Numbers: [91, 196]
Generated Node #0,3,0: 89:[91, 196] Operation: 99+97=196
Exploring Operation: 99+91=190, Resulting Numbers: [97, 190]
Generated Node #0,3,1: 89:[97, 190] Operation: 99+91=190
Exploring Operation: 99-97=2, Resulting Numbers: [91, 2]
Generated Node #0,3,2: 89:[91, 2] Operation: 99-97=2
Exploring Operation: 99-91=8, Resulting Numbers: [97, 8]
Generated Node #0,3,3: 89:[97, 8] Operation: 99-91=8
Exploring Operation: 97-91=6, Resulting Numbers: [99, 6]
Generated Node #0,3,4: 89:[99, 6] Operation: 97-91=6
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 89:[91, 2], Operations: ['77+14=91', '99-97=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,89 unequal: No Solution
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[99, 77, 14, 97], Operations: []
Exploring Operation: 77+14=91, Resulting Numbers: [99, 97, 91]
Generated Node #0,3: 89:[99, 97, 91] Operation: 77+14=91
Moving to Node #0,3
Current State: 89:[99, 97, 91], Operations: ['77+14=91']
Exploring Operation: 99-97=2, Resulting Numbers: [91, 2]
Generated Node #0,3,2: 89:[91, 2] Operation: 99-97=2
Moving to Node #0,3,2
Current State: 89:[91, 2], Operations: ['77+14=91', '99-97=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
93,
93,
97,
62
] | 62 | [
"93-93=0",
"97*0=0",
"62+0=62"
] | Current State: 62:[93, 93, 97, 62], Operations: []
Exploring Operation: 93-93=0, Resulting Numbers: [97, 62, 0]
Generated Node #2: [97, 62, 0] from Operation: 93-93=0
Current State: 62:[97, 62, 0], Operations: ['93-93=0']
Exploring Operation: 97*0=0, Resulting Numbers: [62, 0]
Generated Node #3: [62, 0] from Operation: 97*0=0
Current State: 62:[62, 0], Operations: ['93-93=0', '97*0=0']
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[93, 93, 97, 62], Operations: []
Exploring Operation: 97-93=4, Resulting Numbers: [93, 62, 4]
Generated Node #0,0: 62:[93, 62, 4] Operation: 97-93=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[93, 62, 4], Operations: ['97-93=4']
Exploring Operation: 93-62=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 62:[4, 31] Operation: 93-62=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[4, 31], Operations: ['97-93=4', '93-62=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,62 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 |
[
1,
45,
15,
76
] | 17 | [
"45-1=44",
"76-15=61",
"61-44=17"
] | Current State: 17:[1, 45, 15, 76], Operations: []
Exploring Operation: 45-1=44, Resulting Numbers: [15, 76, 44]
Generated Node #2: [15, 76, 44] from Operation: 45-1=44
Current State: 17:[15, 76, 44], Operations: ['45-1=44']
Exploring Operation: 76-15=61, Resulting Numbers: [44, 61]
Generated Node #3: [44, 61] from Operation: 76-15=61
Current State: 17:[44, 61], Operations: ['45-1=44', '76-15=61']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[1, 45, 15, 76], Operations: []
Exploring Operation: 76-1=75, Resulting Numbers: [45, 15, 75]
Generated Node #0,0: 17:[45, 15, 75] Operation: 76-1=75
Exploring Operation: 1+15=16, Resulting Numbers: [45, 76, 16]
Generated Node #0,1: 17:[45, 76, 16] Operation: 1+15=16
Exploring Operation: 45-1=44, Resulting Numbers: [15, 76, 44]
Generated Node #0,2: 17:[15, 76, 44] Operation: 45-1=44
Exploring Operation: 45-15=30, Resulting Numbers: [1, 76, 30]
Generated Node #0,3: 17:[1, 76, 30] Operation: 45-15=30
Exploring Operation: 76-45=31, Resulting Numbers: [1, 15, 31]
Generated Node #0,4: 17:[1, 15, 31] Operation: 76-45=31
Moving to Node #0,4
Current State: 17:[1, 15, 31], Operations: ['76-45=31']
Exploring Operation: 15/1=15, Resulting Numbers: [31, 15]
Generated Node #0,4,0: 17:[31, 15] Operation: 15/1=15
Exploring Operation: 1*15=15, Resulting Numbers: [31, 15]
Generated Node #0,4,1: 17:[31, 15] Operation: 1*15=15
Exploring Operation: 1*31=31, Resulting Numbers: [15, 31]
Generated Node #0,4,2: 17:[15, 31] Operation: 1*31=31
Exploring Operation: 31-1=30, Resulting Numbers: [15, 30]
Generated Node #0,4,3: 17:[15, 30] Operation: 31-1=30
Exploring Operation: 1+15=16, Resulting Numbers: [31, 16]
Generated Node #0,4,4: 17:[31, 16] Operation: 1+15=16
Moving to Node #0,1
Current State: 17:[45, 76, 16], Operations: ['1+15=16']
Exploring Operation: 76+16=92, Resulting Numbers: [45, 92]
Generated Node #0,1,0: 17:[45, 92] Operation: 76+16=92
Exploring Operation: 45-16=29, Resulting Numbers: [76, 29]
Generated Node #0,1,1: 17:[76, 29] Operation: 45-16=29
Exploring Operation: 76-45=31, Resulting Numbers: [16, 31]
Generated Node #0,1,2: 17:[16, 31] Operation: 76-45=31
Exploring Operation: 45+16=61, Resulting Numbers: [76, 61]
Generated Node #0,1,3: 17:[76, 61] Operation: 45+16=61
Exploring Operation: 76-16=60, Resulting Numbers: [45, 60]
Generated Node #0,1,4: 17:[45, 60] Operation: 76-16=60
Moving to Node #0,3
Current State: 17:[1, 76, 30], Operations: ['45-15=30']
Exploring Operation: 76-30=46, Resulting Numbers: [1, 46]
Generated Node #0,3,0: 17:[1, 46] Operation: 76-30=46
Exploring Operation: 76/1=76, Resulting Numbers: [30, 76]
Generated Node #0,3,1: 17:[30, 76] Operation: 76/1=76
Exploring Operation: 76-1=75, Resulting Numbers: [30, 75]
Generated Node #0,3,2: 17:[30, 75] Operation: 76-1=75
Exploring Operation: 1*76=76, Resulting Numbers: [30, 76]
Generated Node #0,3,3: 17:[30, 76] Operation: 1*76=76
Exploring Operation: 30-1=29, Resulting Numbers: [76, 29]
Generated Node #0,3,4: 17:[76, 29] Operation: 30-1=29
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 17:[1, 46], Operations: ['45-15=30', '76-30=46']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 1*46=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 17:[30, 75], Operations: ['45-15=30', '76-1=75']
Exploring Operation: 30+75=105, Resulting Numbers: [105]
105,17 unequal: No Solution
Exploring Operation: 30*75=2250, Resulting Numbers: [2250]
2250,17 unequal: No Solution
Exploring Operation: 75-30=45, Resulting Numbers: [45]
45,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 17:[76, 29], Operations: ['45-15=30', '30-1=29']
Exploring Operation: 76*29=2204, Resulting Numbers: [2204]
2204,17 unequal: No Solution
Exploring Operation: 76+29=105, Resulting Numbers: [105]
105,17 unequal: No Solution
Exploring Operation: 76-29=47, Resulting Numbers: [47]
47,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 17:[30, 76], Operations: ['45-15=30', '76/1=76']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,17 unequal: No Solution
Exploring Operation: 30*76=2280, Resulting Numbers: [2280]
2280,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 17:[30, 76], Operations: ['45-15=30', '1*76=76']
Exploring Operation: 30*76=2280, Resulting Numbers: [2280]
2280,17 unequal: No Solution
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 17:[45, 15, 75], Operations: ['76-1=75']
Exploring Operation: 45/15=3, Resulting Numbers: [75, 3]
Generated Node #0,0,0: 17:[75, 3] Operation: 45/15=3
Exploring Operation: 75-15=60, Resulting Numbers: [45, 60]
Generated Node #0,0,1: 17:[45, 60] Operation: 75-15=60
Exploring Operation: 45-15=30, Resulting Numbers: [75, 30]
Generated Node #0,0,2: 17:[75, 30] Operation: 45-15=30
Exploring Operation: 75-45=30, Resulting Numbers: [15, 30]
Generated Node #0,0,3: 17:[15, 30] Operation: 75-45=30
Exploring Operation: 75/15=5, Resulting Numbers: [45, 5]
Generated Node #0,0,4: 17:[45, 5] Operation: 75/15=5
Moving to Node #0,2
Current State: 17:[15, 76, 44], Operations: ['45-1=44']
Exploring Operation: 76-44=32, Resulting Numbers: [15, 32]
Generated Node #0,2,0: 17:[15, 32] Operation: 76-44=32
Exploring Operation: 44-15=29, Resulting Numbers: [76, 29]
Generated Node #0,2,1: 17:[76, 29] Operation: 44-15=29
Exploring Operation: 15+44=59, Resulting Numbers: [76, 59]
Generated Node #0,2,2: 17:[76, 59] Operation: 15+44=59
Exploring Operation: 15+76=91, Resulting Numbers: [44, 91]
Generated Node #0,2,3: 17:[44, 91] Operation: 15+76=91
Exploring Operation: 76-15=61, Resulting Numbers: [44, 61]
Generated Node #0,2,4: 17:[44, 61] Operation: 76-15=61
Moving to Node #0,4,3
Current State: 17:[15, 30], Operations: ['76-45=31', '31-1=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[16, 31], Operations: ['1+15=16', '76-45=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[31, 16], Operations: ['76-45=31', '1+15=16']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Exploring Operation: 31*16=496, Resulting Numbers: [496]
496,17 unequal: No Solution
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Moving to Node #0,0,3
Current State: 17:[15, 30], Operations: ['76-1=75', '75-45=30']
Exploring Operation: 15*30=450, Resulting Numbers: [450]
450,17 unequal: No Solution
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,17 unequal: No Solution
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,17 unequal: No Solution
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,17 unequal: No Solution
Moving to Node #0,4,0
Current State: 17:[31, 15], Operations: ['76-45=31', '15/1=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[15, 31], Operations: ['76-45=31', '1*31=31']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Exploring Operation: 15*31=465, Resulting Numbers: [465]
465,17 unequal: No Solution
Moving to Node #0,4,1
Current State: 17:[31, 15], Operations: ['76-45=31', '1*15=15']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,17 unequal: No Solution
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[15, 32], Operations: ['45-1=44', '76-44=32']
Exploring Operation: 15+32=47, Resulting Numbers: [47]
47,17 unequal: No Solution
Exploring Operation: 15*32=480, Resulting Numbers: [480]
480,17 unequal: No Solution
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[1, 45, 15, 76], Operations: []
Exploring Operation: 45-1=44, Resulting Numbers: [15, 76, 44]
Generated Node #0,2: 17:[15, 76, 44] Operation: 45-1=44
Moving to Node #0,2
Current State: 17:[15, 76, 44], Operations: ['45-1=44']
Exploring Operation: 76-44=32, Resulting Numbers: [15, 32]
Generated Node #0,2,0: 17:[15, 32] Operation: 76-44=32
Moving to Node #0,2,0
Current State: 17:[15, 32], Operations: ['45-1=44', '76-44=32']
Exploring Operation: 32-15=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.934028 | hs_5 | mult_heuristic |
[
20,
1,
32,
36
] | 48 | [
"20*1=20",
"32+36=68",
"68-20=48"
] | Current State: 48:[20, 1, 32, 36], Operations: []
Exploring Operation: 20*1=20, Resulting Numbers: [32, 36, 20]
Generated Node #2: [32, 36, 20] from Operation: 20*1=20
Current State: 48:[32, 36, 20], Operations: ['20*1=20']
Exploring Operation: 32+36=68, Resulting Numbers: [20, 68]
Generated Node #3: [20, 68] from Operation: 32+36=68
Current State: 48:[20, 68], Operations: ['20*1=20', '32+36=68']
Exploring Operation: 68-20=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[20, 1, 32, 36], Operations: []
Exploring Operation: 36-32=4, Resulting Numbers: [20, 1, 4]
Generated Node #0,0: 48:[20, 1, 4] Operation: 36-32=4
Moving to Node #0,0
Current State: 48:[20, 1, 4], Operations: ['36-32=4']
Exploring Operation: 20+4=24, Resulting Numbers: [1, 24]
Generated Node #0,0,0: 48:[1, 24] Operation: 20+4=24
Moving to Node #0,0,0
Current State: 48:[1, 24], Operations: ['36-32=4', '20+4=24']
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,48 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
70,
77,
16,
17
] | 42 | [
"70*17=1190",
"77*16=1232",
"1232-1190=42"
] | Current State: 42:[70, 77, 16, 17], Operations: []
Exploring Operation: 70*17=1190, Resulting Numbers: [77, 16, 1190]
Generated Node #2: [77, 16, 1190] from Operation: 70*17=1190
Current State: 42:[77, 16, 1190], Operations: ['70*17=1190']
Exploring Operation: 77*16=1232, Resulting Numbers: [1190, 1232]
Generated Node #3: [1190, 1232] from Operation: 77*16=1232
Current State: 42:[1190, 1232], Operations: ['70*17=1190', '77*16=1232']
Exploring Operation: 1232-1190=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[70, 77, 16, 17], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [16, 17, 7]
Generated Node #0,0: 42:[16, 17, 7] Operation: 77-70=7
Moving to Node #0,0
Current State: 42:[16, 17, 7], Operations: ['77-70=7']
Exploring Operation: 17-16=1, Resulting Numbers: [7, 1]
Generated Node #0,0,0: 42:[7, 1] Operation: 17-16=1
Moving to Node #0,0,0
Current State: 42:[7, 1], Operations: ['77-70=7', '17-16=1']
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,42 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
3,
38,
99
] | 45 | [
"76+38=114",
"114-99=15",
"3*15=45"
] | Current State: 45:[76, 3, 38, 99], Operations: []
Exploring Operation: 76+38=114, Resulting Numbers: [3, 99, 114]
Generated Node #2: [3, 99, 114] from Operation: 76+38=114
Current State: 45:[3, 99, 114], Operations: ['76+38=114']
Exploring Operation: 114-99=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 114-99=15
Current State: 45:[3, 15], Operations: ['76+38=114', '114-99=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[76, 3, 38, 99], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [3, 38, 23]
Generated Node #0,0: 45:[3, 38, 23] Operation: 99-76=23
Exploring Operation: 76-38=38, Resulting Numbers: [3, 99, 38]
Generated Node #0,1: 45:[3, 99, 38] Operation: 76-38=38
Exploring Operation: 99-38=61, Resulting Numbers: [76, 3, 61]
Generated Node #0,2: 45:[76, 3, 61] Operation: 99-38=61
Exploring Operation: 99/3=33, Resulting Numbers: [76, 38, 33]
Generated Node #0,3: 45:[76, 38, 33] Operation: 99/3=33
Exploring Operation: 76/38=2, Resulting Numbers: [3, 99, 2]
Generated Node #0,4: 45:[3, 99, 2] Operation: 76/38=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[3, 38, 23], Operations: ['99-76=23']
Exploring Operation: 38+23=61, Resulting Numbers: [3, 61]
Generated Node #0,0,0: 45:[3, 61] Operation: 38+23=61
Exploring Operation: 38-3=35, Resulting Numbers: [23, 35]
Generated Node #0,0,1: 45:[23, 35] Operation: 38-3=35
Exploring Operation: 38-23=15, Resulting Numbers: [3, 15]
Generated Node #0,0,2: 45:[3, 15] Operation: 38-23=15
Exploring Operation: 23-3=20, Resulting Numbers: [38, 20]
Generated Node #0,0,3: 45:[38, 20] Operation: 23-3=20
Exploring Operation: 3+38=41, Resulting Numbers: [23, 41]
Generated Node #0,0,4: 45:[23, 41] Operation: 3+38=41
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 45:[3, 15], Operations: ['99-76=23', '38-23=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[76, 3, 38, 99], Operations: []
Exploring Operation: 99-76=23, Resulting Numbers: [3, 38, 23]
Generated Node #0,0: 45:[3, 38, 23] Operation: 99-76=23
Moving to Node #0,0
Current State: 45:[3, 38, 23], Operations: ['99-76=23']
Exploring Operation: 38-23=15, Resulting Numbers: [3, 15]
Generated Node #0,0,2: 45:[3, 15] Operation: 38-23=15
Moving to Node #0,0,2
Current State: 45:[3, 15], Operations: ['99-76=23', '38-23=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
44,
22,
4,
51
] | 19 | [
"44+22=66",
"51-4=47",
"66-47=19"
] | Current State: 19:[44, 22, 4, 51], Operations: []
Exploring Operation: 44+22=66, Resulting Numbers: [4, 51, 66]
Generated Node #2: [4, 51, 66] from Operation: 44+22=66
Current State: 19:[4, 51, 66], Operations: ['44+22=66']
Exploring Operation: 51-4=47, Resulting Numbers: [66, 47]
Generated Node #3: [66, 47] from Operation: 51-4=47
Current State: 19:[66, 47], Operations: ['44+22=66', '51-4=47']
Exploring Operation: 66-47=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[44, 22, 4, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [22, 4, 7]
Generated Node #0,0: 19:[22, 4, 7] Operation: 51-44=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[22, 4, 7], Operations: ['51-44=7']
Exploring Operation: 4+7=11, Resulting Numbers: [22, 11]
Generated Node #0,0,0: 19:[22, 11] Operation: 4+7=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[22, 11], Operations: ['51-44=7', '4+7=11']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
70,
79,
74,
55
] | 81 | [
"79-74=5",
"55/5=11",
"70+11=81"
] | Current State: 81:[70, 79, 74, 55], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [70, 55, 5]
Generated Node #2: [70, 55, 5] from Operation: 79-74=5
Current State: 81:[70, 55, 5], Operations: ['79-74=5']
Exploring Operation: 55/5=11, Resulting Numbers: [70, 11]
Generated Node #3: [70, 11] from Operation: 55/5=11
Current State: 81:[70, 11], Operations: ['79-74=5', '55/5=11']
Exploring Operation: 70+11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[70, 79, 74, 55], Operations: []
Exploring Operation: 70-55=15, Resulting Numbers: [79, 74, 15]
Generated Node #0,0: 81:[79, 74, 15] Operation: 70-55=15
Exploring Operation: 79-55=24, Resulting Numbers: [70, 74, 24]
Generated Node #0,1: 81:[70, 74, 24] Operation: 79-55=24
Moving to Node #0,0
Current State: 81:[79, 74, 15], Operations: ['70-55=15']
Exploring Operation: 74+15=89, Resulting Numbers: [79, 89]
Generated Node #0,0,0: 81:[79, 89] Operation: 74+15=89
Exploring Operation: 79-74=5, Resulting Numbers: [15, 5]
Generated Node #0,0,1: 81:[15, 5] Operation: 79-74=5
Moving to Node #0,1
Current State: 81:[70, 74, 24], Operations: ['79-55=24']
Exploring Operation: 74-70=4, Resulting Numbers: [24, 4]
Generated Node #0,1,0: 81:[24, 4] Operation: 74-70=4
Exploring Operation: 70+24=94, Resulting Numbers: [74, 94]
Generated Node #0,1,1: 81:[74, 94] Operation: 70+24=94
Moving to Node #0,1,0
Current State: 81:[24, 4], Operations: ['79-55=24', '74-70=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,81 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[15, 5], Operations: ['70-55=15', '79-74=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[79, 89], Operations: ['70-55=15', '74+15=89']
Exploring Operation: 79+89=168, Resulting Numbers: [168]
168,81 unequal: No Solution
Exploring Operation: 89-79=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[74, 94], Operations: ['79-55=24', '70+24=94']
Exploring Operation: 74+94=168, Resulting Numbers: [168]
168,81 unequal: No Solution
Exploring Operation: 94-74=20, Resulting Numbers: [20]
20,81 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
2,
88,
78
] | 69 | [
"88-28=60",
"78+60=138",
"138/2=69"
] | Current State: 69:[28, 2, 88, 78], Operations: []
Exploring Operation: 88-28=60, Resulting Numbers: [2, 78, 60]
Generated Node #2: [2, 78, 60] from Operation: 88-28=60
Current State: 69:[2, 78, 60], Operations: ['88-28=60']
Exploring Operation: 78+60=138, Resulting Numbers: [2, 138]
Generated Node #3: [2, 138] from Operation: 78+60=138
Current State: 69:[2, 138], Operations: ['88-28=60', '78+60=138']
Exploring Operation: 138/2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[28, 2, 88, 78], Operations: []
Exploring Operation: 78-2=76, Resulting Numbers: [28, 88, 76]
Generated Node #0,0: 69:[28, 88, 76] Operation: 78-2=76
Exploring Operation: 88-2=86, Resulting Numbers: [28, 78, 86]
Generated Node #0,1: 69:[28, 78, 86] Operation: 88-2=86
Exploring Operation: 88-78=10, Resulting Numbers: [28, 2, 10]
Generated Node #0,2: 69:[28, 2, 10] Operation: 88-78=10
Exploring Operation: 88-28=60, Resulting Numbers: [2, 78, 60]
Generated Node #0,3: 69:[2, 78, 60] Operation: 88-28=60
Exploring Operation: 28-2=26, Resulting Numbers: [88, 78, 26]
Generated Node #0,4: 69:[88, 78, 26] Operation: 28-2=26
Moving to Node #0,2
Current State: 69:[28, 2, 10], Operations: ['88-78=10']
Exploring Operation: 28-2=26, Resulting Numbers: [10, 26]
Generated Node #0,2,0: 69:[10, 26] Operation: 28-2=26
Exploring Operation: 10-2=8, Resulting Numbers: [28, 8]
Generated Node #0,2,1: 69:[28, 8] Operation: 10-2=8
Exploring Operation: 28-10=18, Resulting Numbers: [2, 18]
Generated Node #0,2,2: 69:[2, 18] Operation: 28-10=18
Exploring Operation: 2*10=20, Resulting Numbers: [28, 20]
Generated Node #0,2,3: 69:[28, 20] Operation: 2*10=20
Exploring Operation: 10/2=5, Resulting Numbers: [28, 5]
Generated Node #0,2,4: 69:[28, 5] Operation: 10/2=5
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[2, 18], Operations: ['88-78=10', '28-10=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,69 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 #0,2,4
Current State: 69:[28, 5], Operations: ['88-78=10', '10/2=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,69 unequal: No Solution
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,69 unequal: No Solution
Exploring Operation: 28*5=140, Resulting Numbers: [140]
140,69 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 #0,2,3
Current State: 69:[28, 20], Operations: ['88-78=10', '2*10=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,69 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,69 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,69 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 #0,2,0
Current State: 69:[10, 26], Operations: ['88-78=10', '28-2=26']
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 10*26=260, Resulting Numbers: [260]
260,69 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 #0,2,1
Current State: 69:[28, 8], Operations: ['88-78=10', '10-2=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,69 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: 69:[2, 78, 60], Operations: ['88-28=60']
Exploring Operation: 2+60=62, Resulting Numbers: [78, 62]
Generated Node #0,3,0: 69:[78, 62] Operation: 2+60=62
Exploring Operation: 78-2=76, Resulting Numbers: [60, 76]
Generated Node #0,3,1: 69:[60, 76] Operation: 78-2=76
Exploring Operation: 60/2=30, Resulting Numbers: [78, 30]
Generated Node #0,3,2: 69:[78, 30] Operation: 60/2=30
Exploring Operation: 78-60=18, Resulting Numbers: [2, 18]
Generated Node #0,3,3: 69:[2, 18] Operation: 78-60=18
Exploring Operation: 2+78=80, Resulting Numbers: [60, 80]
Generated Node #0,3,4: 69:[60, 80] Operation: 2+78=80
Moving to Node #0,0
Current State: 69:[28, 88, 76], Operations: ['78-2=76']
Exploring Operation: 28+76=104, Resulting Numbers: [88, 104]
Generated Node #0,0,0: 69:[88, 104] Operation: 28+76=104
Exploring Operation: 88-76=12, Resulting Numbers: [28, 12]
Generated Node #0,0,1: 69:[28, 12] Operation: 88-76=12
Exploring Operation: 88-28=60, Resulting Numbers: [76, 60]
Generated Node #0,0,2: 69:[76, 60] Operation: 88-28=60
Exploring Operation: 28+88=116, Resulting Numbers: [76, 116]
Generated Node #0,0,3: 69:[76, 116] Operation: 28+88=116
Exploring Operation: 76-28=48, Resulting Numbers: [88, 48]
Generated Node #0,0,4: 69:[88, 48] Operation: 76-28=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 69:[28, 12], Operations: ['78-2=76', '88-76=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 28*12=336, Resulting Numbers: [336]
336,69 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 69:[76, 60], Operations: ['78-2=76', '88-28=60']
Exploring Operation: 76*60=4560, Resulting Numbers: [4560]
4560,69 unequal: No Solution
Exploring Operation: 76+60=136, Resulting Numbers: [136]
136,69 unequal: No Solution
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,69 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 #0,0,4
Current State: 69:[88, 48], Operations: ['78-2=76', '76-28=48']
Exploring Operation: 88-48=40, Resulting Numbers: [40]
40,69 unequal: No Solution
Exploring Operation: 88+48=136, Resulting Numbers: [136]
136,69 unequal: No Solution
Exploring Operation: 88*48=4224, Resulting Numbers: [4224]
4224,69 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 #0,0,0
Current State: 69:[88, 104], Operations: ['78-2=76', '28+76=104']
Exploring Operation: 88*104=9152, Resulting Numbers: [9152]
9152,69 unequal: No Solution
Exploring Operation: 88+104=192, Resulting Numbers: [192]
192,69 unequal: No Solution
Exploring Operation: 104-88=16, Resulting Numbers: [16]
16,69 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 #0,0,3
Current State: 69:[76, 116], Operations: ['78-2=76', '28+88=116']
Exploring Operation: 76*116=8816, Resulting Numbers: [8816]
8816,69 unequal: No Solution
Exploring Operation: 76+116=192, Resulting Numbers: [192]
192,69 unequal: No Solution
Exploring Operation: 116-76=40, Resulting Numbers: [40]
40,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 69:[28, 78, 86], Operations: ['88-2=86']
Exploring Operation: 78-28=50, Resulting Numbers: [86, 50]
Generated Node #0,1,0: 69:[86, 50] Operation: 78-28=50
Exploring Operation: 28+86=114, Resulting Numbers: [78, 114]
Generated Node #0,1,1: 69:[78, 114] Operation: 28+86=114
Exploring Operation: 86-78=8, Resulting Numbers: [28, 8]
Generated Node #0,1,2: 69:[28, 8] Operation: 86-78=8
Exploring Operation: 28+78=106, Resulting Numbers: [86, 106]
Generated Node #0,1,3: 69:[86, 106] Operation: 28+78=106
Exploring Operation: 86-28=58, Resulting Numbers: [78, 58]
Generated Node #0,1,4: 69:[78, 58] Operation: 86-28=58
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 69:[28, 8], Operations: ['88-2=86', '86-78=8']
Exploring Operation: 28+8=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 28-8=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 28*8=224, Resulting Numbers: [224]
224,69 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 #0,1,4
Current State: 69:[78, 58], Operations: ['88-2=86', '86-28=58']
Exploring Operation: 78-58=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 78*58=4524, Resulting Numbers: [4524]
4524,69 unequal: No Solution
Exploring Operation: 78+58=136, Resulting Numbers: [136]
136,69 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 #0,1,0
Current State: 69:[86, 50], Operations: ['88-2=86', '78-28=50']
Exploring Operation: 86*50=4300, Resulting Numbers: [4300]
4300,69 unequal: No Solution
Exploring Operation: 86+50=136, Resulting Numbers: [136]
136,69 unequal: No Solution
Exploring Operation: 86-50=36, Resulting Numbers: [36]
36,69 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 #0,1,1
Current State: 69:[78, 114], Operations: ['88-2=86', '28+86=114']
Exploring Operation: 78*114=8892, Resulting Numbers: [8892]
8892,69 unequal: No Solution
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,69 unequal: No Solution
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,69 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 #0,1,3
Current State: 69:[86, 106], Operations: ['88-2=86', '28+78=106']
Exploring Operation: 86+106=192, Resulting Numbers: [192]
192,69 unequal: No Solution
Exploring Operation: 86*106=9116, Resulting Numbers: [9116]
9116,69 unequal: No Solution
Exploring Operation: 106-86=20, Resulting Numbers: [20]
20,69 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: 69:[88, 78, 26], Operations: ['28-2=26']
Exploring Operation: 88-26=62, Resulting Numbers: [78, 62]
Generated Node #0,4,0: 69:[78, 62] Operation: 88-26=62
Exploring Operation: 88-78=10, Resulting Numbers: [26, 10]
Generated Node #0,4,1: 69:[26, 10] Operation: 88-78=10
Exploring Operation: 78/26=3, Resulting Numbers: [88, 3]
Generated Node #0,4,2: 69:[88, 3] Operation: 78/26=3
Exploring Operation: 78-26=52, Resulting Numbers: [88, 52]
Generated Node #0,4,3: 69:[88, 52] Operation: 78-26=52
Exploring Operation: 88+26=114, Resulting Numbers: [78, 114]
Generated Node #0,4,4: 69:[78, 114] Operation: 88+26=114
Moving to Node #0,3,3
Current State: 69:[2, 18], Operations: ['88-28=60', '78-60=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,69 unequal: No Solution
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Moving to Node #0,4,1
Current State: 69:[26, 10], Operations: ['28-2=26', '88-78=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 26*10=260, Resulting Numbers: [260]
260,69 unequal: No Solution
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Moving to Node #0,4,0
Current State: 69:[78, 62], Operations: ['28-2=26', '88-26=62']
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,69 unequal: No Solution
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Moving to Node #0,3,1
Current State: 69:[60, 76], Operations: ['88-28=60', '78-2=76']
Exploring Operation: 76-60=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 60+76=136, Resulting Numbers: [136]
136,69 unequal: No Solution
Exploring Operation: 60*76=4560, Resulting Numbers: [4560]
4560,69 unequal: No Solution
Moving to Node #0,3,0
Current State: 69:[78, 62], Operations: ['88-28=60', '2+60=62']
Exploring Operation: 78+62=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 78*62=4836, Resulting Numbers: [4836]
4836,69 unequal: No Solution
Exploring Operation: 78-62=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Moving to Node #0,3,2
Current State: 69:[78, 30], Operations: ['88-28=60', '60/2=30']
Exploring Operation: 78*30=2340, Resulting Numbers: [2340]
2340,69 unequal: No Solution
Exploring Operation: 78-30=48, Resulting Numbers: [48]
48,69 unequal: No Solution
Exploring Operation: 78+30=108, Resulting Numbers: [108]
108,69 unequal: No Solution
Moving to Node #0,4,2
Current State: 69:[88, 3], Operations: ['28-2=26', '78/26=3']
Exploring Operation: 88*3=264, Resulting Numbers: [264]
264,69 unequal: No Solution
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,69 unequal: No Solution
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,69 unequal: No Solution
Moving to Node #0,3,4
Current State: 69:[60, 80], Operations: ['88-28=60', '2+78=80']
Exploring Operation: 60+80=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 80-60=20, Resulting Numbers: [20]
20,69 unequal: No Solution
Exploring Operation: 60*80=4800, Resulting Numbers: [4800]
4800,69 unequal: No Solution
Moving to Node #0,4,3
Current State: 69:[88, 52], Operations: ['28-2=26', '78-26=52']
Exploring Operation: 88+52=140, Resulting Numbers: [140]
140,69 unequal: No Solution
Exploring Operation: 88*52=4576, Resulting Numbers: [4576]
4576,69 unequal: No Solution
Exploring Operation: 88-52=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Moving to Node #0,4,4
Current State: 69:[78, 114], Operations: ['28-2=26', '88+26=114']
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 78*114=8892, Resulting Numbers: [8892]
8892,69 unequal: No Solution
Exploring Operation: 78+114=192, Resulting Numbers: [192]
192,69 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
40,
14,
18,
99
] | 96 | [
"40+14=54",
"54/18=3",
"99-3=96"
] | Current State: 96:[40, 14, 18, 99], Operations: []
Exploring Operation: 40+14=54, Resulting Numbers: [18, 99, 54]
Generated Node #2: [18, 99, 54] from Operation: 40+14=54
Current State: 96:[18, 99, 54], Operations: ['40+14=54']
Exploring Operation: 54/18=3, Resulting Numbers: [99, 3]
Generated Node #3: [99, 3] from Operation: 54/18=3
Current State: 96:[99, 3], Operations: ['40+14=54', '54/18=3']
Exploring Operation: 99-3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[40, 14, 18, 99], Operations: []
Exploring Operation: 40-14=26, Resulting Numbers: [18, 99, 26]
Generated Node #0,0: 96:[18, 99, 26] Operation: 40-14=26
Exploring Operation: 40-18=22, Resulting Numbers: [14, 99, 22]
Generated Node #0,1: 96:[14, 99, 22] Operation: 40-18=22
Moving to Node #0,0
Current State: 96:[18, 99, 26], Operations: ['40-14=26']
Exploring Operation: 18+26=44, Resulting Numbers: [99, 44]
Generated Node #0,0,0: 96:[99, 44] Operation: 18+26=44
Exploring Operation: 26-18=8, Resulting Numbers: [99, 8]
Generated Node #0,0,1: 96:[99, 8] Operation: 26-18=8
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[99, 8], Operations: ['40-14=26', '26-18=8']
Exploring Operation: 99+8=107, Resulting Numbers: [107]
107,96 unequal: No Solution
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[99, 44], Operations: ['40-14=26', '18+26=44']
Exploring Operation: 99+44=143, Resulting Numbers: [143]
143,96 unequal: No Solution
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,96 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: 96:[14, 99, 22], Operations: ['40-18=22']
Exploring Operation: 22-14=8, Resulting Numbers: [99, 8]
Generated Node #0,1,0: 96:[99, 8] Operation: 22-14=8
Exploring Operation: 14+22=36, Resulting Numbers: [99, 36]
Generated Node #0,1,1: 96:[99, 36] Operation: 14+22=36
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[99, 8], Operations: ['40-18=22', '22-14=8']
Exploring Operation: 99+8=107, Resulting Numbers: [107]
107,96 unequal: No Solution
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[99, 36], Operations: ['40-18=22', '14+22=36']
Exploring Operation: 99+36=135, Resulting Numbers: [135]
135,96 unequal: No Solution
Exploring Operation: 99-36=63, Resulting Numbers: [63]
63,96 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 |
[
28,
50,
8,
30
] | 34 | [
"30-28=2",
"8*2=16",
"50-16=34"
] | Current State: 34:[28, 50, 8, 30], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [50, 8, 2]
Generated Node #2: [50, 8, 2] from Operation: 30-28=2
Current State: 34:[50, 8, 2], Operations: ['30-28=2']
Exploring Operation: 8*2=16, Resulting Numbers: [50, 16]
Generated Node #3: [50, 16] from Operation: 8*2=16
Current State: 34:[50, 16], Operations: ['30-28=2', '8*2=16']
Exploring Operation: 50-16=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[28, 50, 8, 30], Operations: []
Exploring Operation: 50-28=22, Resulting Numbers: [8, 30, 22]
Generated Node #0,0: 34:[8, 30, 22] Operation: 50-28=22
Exploring Operation: 50-30=20, Resulting Numbers: [28, 8, 20]
Generated Node #0,1: 34:[28, 8, 20] Operation: 50-30=20
Moving to Node #0,0
Current State: 34:[8, 30, 22], Operations: ['50-28=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30, 30]
Generated Node #0,0,0: 34:[30, 30] Operation: 8+22=30
Exploring Operation: 22-8=14, Resulting Numbers: [30, 14]
Generated Node #0,0,1: 34:[30, 14] Operation: 22-8=14
Moving to Node #0,1
Current State: 34:[28, 8, 20], Operations: ['50-30=20']
Exploring Operation: 28+8=36, Resulting Numbers: [20, 36]
Generated Node #0,1,0: 34:[20, 36] Operation: 28+8=36
Exploring Operation: 28-8=20, Resulting Numbers: [20, 20]
Generated Node #0,1,1: 34:[20, 20] Operation: 28-8=20
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[20, 36], Operations: ['50-30=20', '28+8=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 34:[20, 20], Operations: ['50-30=20', '28-8=20']
Exploring Operation: 20-20=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 20/20=1, Resulting Numbers: [1]
1,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,1
Current State: 34:[30, 14], Operations: ['50-28=22', '22-8=14']
Exploring Operation: 30+14=44, Resulting Numbers: [44]
44,34 unequal: No Solution
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,34 unequal: No Solution
Moving to Node #0,0,0
Current State: 34:[30, 30], Operations: ['50-28=22', '8+22=30']
Exploring Operation: 30-30=0, Resulting Numbers: [0]
0,34 unequal: No Solution
Exploring Operation: 30/30=1, Resulting Numbers: [1]
1,34 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
46,
14,
60,
39
] | 40 | [
"46+14=60",
"60/60=1",
"39+1=40"
] | Current State: 40:[46, 14, 60, 39], Operations: []
Exploring Operation: 46+14=60, Resulting Numbers: [60, 39, 60]
Generated Node #2: [60, 39, 60] from Operation: 46+14=60
Current State: 40:[60, 39, 60], Operations: ['46+14=60']
Exploring Operation: 60/60=1, Resulting Numbers: [39, 1]
Generated Node #3: [39, 1] from Operation: 60/60=1
Current State: 40:[39, 1], Operations: ['46+14=60', '60/60=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[46, 14, 60, 39], Operations: []
Exploring Operation: 60-39=21, Resulting Numbers: [46, 14, 21]
Generated Node #0,0: 40:[46, 14, 21] Operation: 60-39=21
Exploring Operation: 60-46=14, Resulting Numbers: [14, 39, 14]
Generated Node #0,1: 40:[14, 39, 14] Operation: 60-46=14
Moving to Node #0,1
Current State: 40:[14, 39, 14], Operations: ['60-46=14']
Exploring Operation: 14-14=0, Resulting Numbers: [39, 0]
Generated Node #0,1,0: 40:[39, 0] Operation: 14-14=0
Exploring Operation: 14/14=1, Resulting Numbers: [39, 1]
Generated Node #0,1,1: 40:[39, 1] Operation: 14/14=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 40:[39, 1], Operations: ['60-46=14', '14/14=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[46, 14, 60, 39], Operations: []
Exploring Operation: 60-46=14, Resulting Numbers: [14, 39, 14]
Generated Node #0,1: 40:[14, 39, 14] Operation: 60-46=14
Moving to Node #0,1
Current State: 40:[14, 39, 14], Operations: ['60-46=14']
Exploring Operation: 14/14=1, Resulting Numbers: [39, 1]
Generated Node #0,1,1: 40:[39, 1] Operation: 14/14=1
Moving to Node #0,1,1
Current State: 40:[39, 1], Operations: ['60-46=14', '14/14=1']
Exploring Operation: 39+1=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
52,
9,
12,
3
] | 58 | [
"52-9=43",
"12+3=15",
"43+15=58"
] | Current State: 58:[52, 9, 12, 3], Operations: []
Exploring Operation: 52-9=43, Resulting Numbers: [12, 3, 43]
Generated Node #2: [12, 3, 43] from Operation: 52-9=43
Current State: 58:[12, 3, 43], Operations: ['52-9=43']
Exploring Operation: 12+3=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 12+3=15
Current State: 58:[43, 15], Operations: ['52-9=43', '12+3=15']
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[52, 9, 12, 3], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [52, 3, 3]
Generated Node #0,0: 58:[52, 3, 3] Operation: 12-9=3
Exploring Operation: 52+9=61, Resulting Numbers: [12, 3, 61]
Generated Node #0,1: 58:[12, 3, 61] Operation: 52+9=61
Moving to Node #0,0
Current State: 58:[52, 3, 3], Operations: ['12-9=3']
Exploring Operation: 52+3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,0: 58:[3, 55] Operation: 52+3=55
Exploring Operation: 52+3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,1: 58:[3, 55] Operation: 52+3=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 58:[3, 55], Operations: ['12-9=3', '52+3=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[52, 9, 12, 3], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [52, 3, 3]
Generated Node #0,0: 58:[52, 3, 3] Operation: 12-9=3
Moving to Node #0,0
Current State: 58:[52, 3, 3], Operations: ['12-9=3']
Exploring Operation: 52+3=55, Resulting Numbers: [3, 55]
Generated Node #0,0,0: 58:[3, 55] Operation: 52+3=55
Moving to Node #0,0,0
Current State: 58:[3, 55], Operations: ['12-9=3', '52+3=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
9,
68,
17,
32
] | 17 | [
"17-9=8",
"68*8=544",
"544/32=17"
] | Current State: 17:[9, 68, 17, 32], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [68, 32, 8]
Generated Node #2: [68, 32, 8] from Operation: 17-9=8
Current State: 17:[68, 32, 8], Operations: ['17-9=8']
Exploring Operation: 68*8=544, Resulting Numbers: [32, 544]
Generated Node #3: [32, 544] from Operation: 68*8=544
Current State: 17:[32, 544], Operations: ['17-9=8', '68*8=544']
Exploring Operation: 544/32=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[9, 68, 17, 32], Operations: []
Exploring Operation: 32-9=23, Resulting Numbers: [68, 17, 23]
Generated Node #0,0: 17:[68, 17, 23] Operation: 32-9=23
Exploring Operation: 68-32=36, Resulting Numbers: [9, 17, 36]
Generated Node #0,1: 17:[9, 17, 36] Operation: 68-32=36
Exploring Operation: 68/17=4, Resulting Numbers: [9, 32, 4]
Generated Node #0,2: 17:[9, 32, 4] Operation: 68/17=4
Exploring Operation: 68-17=51, Resulting Numbers: [9, 32, 51]
Generated Node #0,3: 17:[9, 32, 51] Operation: 68-17=51
Exploring Operation: 68-9=59, Resulting Numbers: [17, 32, 59]
Generated Node #0,4: 17:[17, 32, 59] Operation: 68-9=59
Start Sub Search at level 1: Moving to Node #0,1
Current State: 17:[9, 17, 36], Operations: ['68-32=36']
Exploring Operation: 36-9=27, Resulting Numbers: [17, 27]
Generated Node #0,1,0: 17:[17, 27] Operation: 36-9=27
Exploring Operation: 9+17=26, Resulting Numbers: [36, 26]
Generated Node #0,1,1: 17:[36, 26] Operation: 9+17=26
Exploring Operation: 36/9=4, Resulting Numbers: [17, 4]
Generated Node #0,1,2: 17:[17, 4] Operation: 36/9=4
Exploring Operation: 17-9=8, Resulting Numbers: [36, 8]
Generated Node #0,1,3: 17:[36, 8] Operation: 17-9=8
Exploring Operation: 36-17=19, Resulting Numbers: [9, 19]
Generated Node #0,1,4: 17:[9, 19] Operation: 36-17=19
Moving to Node #0,1,0
Current State: 17:[17, 27], Operations: ['68-32=36', '36-9=27']
Exploring Operation: 17*27=459, Resulting Numbers: [459]
459,17 unequal: No Solution
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,17 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Moving to Node #0,1,4
Current State: 17:[9, 19], Operations: ['68-32=36', '36-17=19']
Exploring Operation: 9*19=171, Resulting Numbers: [171]
171,17 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Exploring Operation: 9+19=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Moving to Node #0,1,2
Current State: 17:[17, 4], Operations: ['68-32=36', '36/9=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,17 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,17 unequal: No Solution
Moving to Node #0,1,1
Current State: 17:[36, 26], Operations: ['68-32=36', '9+17=26']
Exploring Operation: 36*26=936, Resulting Numbers: [936]
936,17 unequal: No Solution
Exploring Operation: 36+26=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 36-26=10, Resulting Numbers: [10]
10,17 unequal: No Solution
Moving to Node #0,1,3
Current State: 17:[36, 8], Operations: ['68-32=36', '17-9=8']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,17 unequal: No Solution
Exploring Operation: 36*8=288, Resulting Numbers: [288]
288,17 unequal: No Solution
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,17 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[9, 32, 4], Operations: ['68/17=4']
Exploring Operation: 32-9=23, Resulting Numbers: [4, 23]
Generated Node #0,2,0: 17:[4, 23] Operation: 32-9=23
Exploring Operation: 32-4=28, Resulting Numbers: [9, 28]
Generated Node #0,2,1: 17:[9, 28] Operation: 32-4=28
Exploring Operation: 9-4=5, Resulting Numbers: [32, 5]
Generated Node #0,2,2: 17:[32, 5] Operation: 9-4=5
Exploring Operation: 32/4=8, Resulting Numbers: [9, 8]
Generated Node #0,2,3: 17:[9, 8] Operation: 32/4=8
Exploring Operation: 9+4=13, Resulting Numbers: [32, 13]
Generated Node #0,2,4: 17:[32, 13] Operation: 9+4=13
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 17:[9, 8], Operations: ['68/17=4', '32/4=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,17 unequal: No Solution
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[9, 68, 17, 32], Operations: []
Exploring Operation: 68/17=4, Resulting Numbers: [9, 32, 4]
Generated Node #0,2: 17:[9, 32, 4] Operation: 68/17=4
Moving to Node #0,2
Current State: 17:[9, 32, 4], Operations: ['68/17=4']
Exploring Operation: 32/4=8, Resulting Numbers: [9, 8]
Generated Node #0,2,3: 17:[9, 8] Operation: 32/4=8
Moving to Node #0,2,3
Current State: 17:[9, 8], Operations: ['68/17=4', '32/4=8']
Exploring Operation: 9+8=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_5 | mult_heuristic |
[
45,
2,
29,
64
] | 56 | [
"45-29=16",
"16/2=8",
"64-8=56"
] | Current State: 56:[45, 2, 29, 64], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [2, 64, 16]
Generated Node #2: [2, 64, 16] from Operation: 45-29=16
Current State: 56:[2, 64, 16], Operations: ['45-29=16']
Exploring Operation: 16/2=8, Resulting Numbers: [64, 8]
Generated Node #3: [64, 8] from Operation: 16/2=8
Current State: 56:[64, 8], Operations: ['45-29=16', '16/2=8']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[45, 2, 29, 64], Operations: []
Exploring Operation: 45-29=16, Resulting Numbers: [2, 64, 16]
Generated Node #0,0: 56:[2, 64, 16] Operation: 45-29=16
Exploring Operation: 64-45=19, Resulting Numbers: [2, 29, 19]
Generated Node #0,1: 56:[2, 29, 19] Operation: 64-45=19
Moving to Node #0,1
Current State: 56:[2, 29, 19], Operations: ['64-45=19']
Exploring Operation: 19-2=17, Resulting Numbers: [29, 17]
Generated Node #0,1,0: 56:[29, 17] Operation: 19-2=17
Exploring Operation: 29-19=10, Resulting Numbers: [2, 10]
Generated Node #0,1,1: 56:[2, 10] Operation: 29-19=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 56:[2, 10], Operations: ['64-45=19', '29-19=10']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 56:[29, 17], Operations: ['64-45=19', '19-2=17']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 29+17=46, Resulting Numbers: [46]
46,56 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: 56:[2, 64, 16], Operations: ['45-29=16']
Exploring Operation: 64/2=32, Resulting Numbers: [16, 32]
Generated Node #0,0,0: 56:[16, 32] Operation: 64/2=32
Exploring Operation: 64/16=4, Resulting Numbers: [2, 4]
Generated Node #0,0,1: 56:[2, 4] Operation: 64/16=4
Moving to Node #0,0,1
Current State: 56:[2, 4], Operations: ['45-29=16', '64/16=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[16, 32], Operations: ['45-29=16', '64/2=32']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,56 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,56 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
24,
31,
78,
26
] | 52 | [
"24+31=55",
"78/26=3",
"55-3=52"
] | Current State: 52:[24, 31, 78, 26], Operations: []
Exploring Operation: 24+31=55, Resulting Numbers: [78, 26, 55]
Generated Node #2: [78, 26, 55] from Operation: 24+31=55
Current State: 52:[78, 26, 55], Operations: ['24+31=55']
Exploring Operation: 78/26=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 78/26=3
Current State: 52:[55, 3], Operations: ['24+31=55', '78/26=3']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[24, 31, 78, 26], Operations: []
Exploring Operation: 24+31=55, Resulting Numbers: [78, 26, 55]
Generated Node #0,0: 52:[78, 26, 55] Operation: 24+31=55
Exploring Operation: 78/26=3, Resulting Numbers: [24, 31, 3]
Generated Node #0,1: 52:[24, 31, 3] Operation: 78/26=3
Exploring Operation: 78-24=54, Resulting Numbers: [31, 26, 54]
Generated Node #0,2: 52:[31, 26, 54] Operation: 78-24=54
Exploring Operation: 78-31=47, Resulting Numbers: [24, 26, 47]
Generated Node #0,3: 52:[24, 26, 47] Operation: 78-31=47
Exploring Operation: 78-26=52, Resulting Numbers: [24, 31, 52]
Generated Node #0,4: 52:[24, 31, 52] Operation: 78-26=52
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[31, 26, 54], Operations: ['78-24=54']
Exploring Operation: 31+54=85, Resulting Numbers: [26, 85]
Generated Node #0,2,0: 52:[26, 85] Operation: 31+54=85
Exploring Operation: 31+26=57, Resulting Numbers: [54, 57]
Generated Node #0,2,1: 52:[54, 57] Operation: 31+26=57
Exploring Operation: 54-31=23, Resulting Numbers: [26, 23]
Generated Node #0,2,2: 52:[26, 23] Operation: 54-31=23
Exploring Operation: 31-26=5, Resulting Numbers: [54, 5]
Generated Node #0,2,3: 52:[54, 5] Operation: 31-26=5
Exploring Operation: 54-26=28, Resulting Numbers: [31, 28]
Generated Node #0,2,4: 52:[31, 28] Operation: 54-26=28
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 52:[26, 23], Operations: ['78-24=54', '54-31=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 52:[54, 5], Operations: ['78-24=54', '31-26=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 54*5=270, Resulting Numbers: [270]
270,52 unequal: No Solution
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 52:[54, 57], Operations: ['78-24=54', '31+26=57']
Exploring Operation: 54+57=111, Resulting Numbers: [111]
111,52 unequal: No Solution
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 54*57=3078, Resulting Numbers: [3078]
3078,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 52:[31, 28], Operations: ['78-24=54', '54-26=28']
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,52 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 52:[26, 85], Operations: ['78-24=54', '31+54=85']
Exploring Operation: 26*85=2210, Resulting Numbers: [2210]
2210,52 unequal: No Solution
Exploring Operation: 85-26=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 26+85=111, Resulting Numbers: [111]
111,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 52:[24, 26, 47], Operations: ['78-31=47']
Exploring Operation: 26-24=2, Resulting Numbers: [47, 2]
Generated Node #0,3,0: 52:[47, 2] Operation: 26-24=2
Exploring Operation: 47-26=21, Resulting Numbers: [24, 21]
Generated Node #0,3,1: 52:[24, 21] Operation: 47-26=21
Exploring Operation: 24+26=50, Resulting Numbers: [47, 50]
Generated Node #0,3,2: 52:[47, 50] Operation: 24+26=50
Exploring Operation: 24+47=71, Resulting Numbers: [26, 71]
Generated Node #0,3,3: 52:[26, 71] Operation: 24+47=71
Exploring Operation: 47-24=23, Resulting Numbers: [26, 23]
Generated Node #0,3,4: 52:[26, 23] Operation: 47-24=23
Moving to Node #0,3,4
Current State: 52:[26, 23], Operations: ['78-31=47', '47-24=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,52 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Moving to Node #0,3,0
Current State: 52:[47, 2], Operations: ['78-31=47', '26-24=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Moving to Node #0,3,1
Current State: 52:[24, 21], Operations: ['78-31=47', '47-26=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,52 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,3,2
Current State: 52:[47, 50], Operations: ['78-31=47', '24+26=50']
Exploring Operation: 47*50=2350, Resulting Numbers: [2350]
2350,52 unequal: No Solution
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,52 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,3,3
Current State: 52:[26, 71], Operations: ['78-31=47', '24+47=71']
Exploring Operation: 26*71=1846, Resulting Numbers: [1846]
1846,52 unequal: No Solution
Exploring Operation: 71-26=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 26+71=97, Resulting Numbers: [97]
97,52 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 #0,4
Current State: 52:[24, 31, 52], Operations: ['78-26=52']
Exploring Operation: 52-31=21, Resulting Numbers: [24, 21]
Generated Node #0,4,0: 52:[24, 21] Operation: 52-31=21
Exploring Operation: 31-24=7, Resulting Numbers: [52, 7]
Generated Node #0,4,1: 52:[52, 7] Operation: 31-24=7
Exploring Operation: 24+52=76, Resulting Numbers: [31, 76]
Generated Node #0,4,2: 52:[31, 76] Operation: 24+52=76
Exploring Operation: 52-24=28, Resulting Numbers: [31, 28]
Generated Node #0,4,3: 52:[31, 28] Operation: 52-24=28
Exploring Operation: 24+31=55, Resulting Numbers: [52, 55]
Generated Node #0,4,4: 52:[52, 55] Operation: 24+31=55
Moving to Node #0,4,1
Current State: 52:[52, 7], Operations: ['78-26=52', '31-24=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 52*7=364, Resulting Numbers: [364]
364,52 unequal: No Solution
Moving to Node #0,4,4
Current State: 52:[52, 55], Operations: ['78-26=52', '24+31=55']
Exploring Operation: 55-52=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 52*55=2860, Resulting Numbers: [2860]
2860,52 unequal: No Solution
Exploring Operation: 52+55=107, Resulting Numbers: [107]
107,52 unequal: No Solution
Moving to Node #0,4,0
Current State: 52:[24, 21], Operations: ['78-26=52', '52-31=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 24*21=504, Resulting Numbers: [504]
504,52 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,4,3
Current State: 52:[31, 28], Operations: ['78-26=52', '52-24=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,52 unequal: No Solution
Moving to Node #0,4,2
Current State: 52:[31, 76], Operations: ['78-26=52', '24+52=76']
Exploring Operation: 76-31=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 31+76=107, Resulting Numbers: [107]
107,52 unequal: No Solution
Exploring Operation: 31*76=2356, Resulting Numbers: [2356]
2356,52 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 #0,1
Current State: 52:[24, 31, 3], Operations: ['78/26=3']
Exploring Operation: 24+31=55, Resulting Numbers: [3, 55]
Generated Node #0,1,0: 52:[3, 55] Operation: 24+31=55
Exploring Operation: 24+3=27, Resulting Numbers: [31, 27]
Generated Node #0,1,1: 52:[31, 27] Operation: 24+3=27
Exploring Operation: 31-24=7, Resulting Numbers: [3, 7]
Generated Node #0,1,2: 52:[3, 7] Operation: 31-24=7
Exploring Operation: 31-3=28, Resulting Numbers: [24, 28]
Generated Node #0,1,3: 52:[24, 28] Operation: 31-3=28
Exploring Operation: 24/3=8, Resulting Numbers: [31, 8]
Generated Node #0,1,4: 52:[31, 8] Operation: 24/3=8
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[3, 55], Operations: ['78/26=3', '24+31=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,52 unequal: No Solution
Exploring Operation: 3*55=165, Resulting Numbers: [165]
165,52 unequal: No Solution
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[24, 31, 78, 26], Operations: []
Exploring Operation: 78/26=3, Resulting Numbers: [24, 31, 3]
Generated Node #0,1: 52:[24, 31, 3] Operation: 78/26=3
Moving to Node #0,1
Current State: 52:[24, 31, 3], Operations: ['78/26=3']
Exploring Operation: 24+31=55, Resulting Numbers: [3, 55]
Generated Node #0,1,0: 52:[3, 55] Operation: 24+31=55
Moving to Node #0,1,0
Current State: 52:[3, 55], Operations: ['78/26=3', '24+31=55']
Exploring Operation: 55-3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.93316 | hs_5 | mult_heuristic |
[
4,
27,
30,
44
] | 44 | [
"4+27=31",
"31-30=1",
"44*1=44"
] | Current State: 44:[4, 27, 30, 44], Operations: []
Exploring Operation: 4+27=31, Resulting Numbers: [30, 44, 31]
Generated Node #2: [30, 44, 31] from Operation: 4+27=31
Current State: 44:[30, 44, 31], Operations: ['4+27=31']
Exploring Operation: 31-30=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 31-30=1
Current State: 44:[44, 1], Operations: ['4+27=31', '31-30=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[4, 27, 30, 44], Operations: []
Exploring Operation: 44/4=11, Resulting Numbers: [27, 30, 11]
Generated Node #0,0: 44:[27, 30, 11] Operation: 44/4=11
Exploring Operation: 44-30=14, Resulting Numbers: [4, 27, 14]
Generated Node #0,1: 44:[4, 27, 14] Operation: 44-30=14
Exploring Operation: 30-4=26, Resulting Numbers: [27, 44, 26]
Generated Node #0,2: 44:[27, 44, 26] Operation: 30-4=26
Exploring Operation: 30-27=3, Resulting Numbers: [4, 44, 3]
Generated Node #0,3: 44:[4, 44, 3] Operation: 30-27=3
Exploring Operation: 27-4=23, Resulting Numbers: [30, 44, 23]
Generated Node #0,4: 44:[30, 44, 23] Operation: 27-4=23
Start Sub Search at level 1: Moving to Node #0,3
Current State: 44:[4, 44, 3], Operations: ['30-27=3']
Exploring Operation: 4-3=1, Resulting Numbers: [44, 1]
Generated Node #0,3,0: 44:[44, 1] Operation: 4-3=1
Exploring Operation: 44+3=47, Resulting Numbers: [4, 47]
Generated Node #0,3,1: 44:[4, 47] Operation: 44+3=47
Exploring Operation: 44/4=11, Resulting Numbers: [3, 11]
Generated Node #0,3,2: 44:[3, 11] Operation: 44/4=11
Exploring Operation: 4+3=7, Resulting Numbers: [44, 7]
Generated Node #0,3,3: 44:[44, 7] Operation: 4+3=7
Exploring Operation: 4*3=12, Resulting Numbers: [44, 12]
Generated Node #0,3,4: 44:[44, 12] Operation: 4*3=12
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 44:[44, 1], Operations: ['30-27=3', '4-3=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[4, 27, 30, 44], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [4, 44, 3]
Generated Node #0,3: 44:[4, 44, 3] Operation: 30-27=3
Moving to Node #0,3
Current State: 44:[4, 44, 3], Operations: ['30-27=3']
Exploring Operation: 4-3=1, Resulting Numbers: [44, 1]
Generated Node #0,3,0: 44:[44, 1] Operation: 4-3=1
Moving to Node #0,3,0
Current State: 44:[44, 1], Operations: ['30-27=3', '4-3=1']
Exploring Operation: 44*1=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_5 | mult_heuristic |
[
41,
10,
63,
51
] | 19 | [
"41-10=31",
"63-51=12",
"31-12=19"
] | Current State: 19:[41, 10, 63, 51], Operations: []
Exploring Operation: 41-10=31, Resulting Numbers: [63, 51, 31]
Generated Node #2: [63, 51, 31] from Operation: 41-10=31
Current State: 19:[63, 51, 31], Operations: ['41-10=31']
Exploring Operation: 63-51=12, Resulting Numbers: [31, 12]
Generated Node #3: [31, 12] from Operation: 63-51=12
Current State: 19:[31, 12], Operations: ['41-10=31', '63-51=12']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[41, 10, 63, 51], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [41, 10, 12]
Generated Node #0,0: 19:[41, 10, 12] Operation: 63-51=12
Moving to Node #0,0
Current State: 19:[41, 10, 12], Operations: ['63-51=12']
Exploring Operation: 41-10=31, Resulting Numbers: [12, 31]
Generated Node #0,0,0: 19:[12, 31] Operation: 41-10=31
Moving to Node #0,0,0
Current State: 19:[12, 31], Operations: ['63-51=12', '41-10=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[41, 10, 63, 51], Operations: []
Exploring Operation: 63-51=12, Resulting Numbers: [41, 10, 12]
Generated Node #0,0: 19:[41, 10, 12] Operation: 63-51=12
Moving to Node #0,0
Current State: 19:[41, 10, 12], Operations: ['63-51=12']
Exploring Operation: 41-10=31, Resulting Numbers: [12, 31]
Generated Node #0,0,0: 19:[12, 31] Operation: 41-10=31
Moving to Node #0,0,0
Current State: 19:[12, 31], Operations: ['63-51=12', '41-10=31']
Exploring Operation: 31-12=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
6,
92,
2,
24
] | 52 | [
"92+24=116",
"116/2=58",
"58-6=52"
] | Current State: 52:[6, 92, 2, 24], Operations: []
Exploring Operation: 92+24=116, Resulting Numbers: [6, 2, 116]
Generated Node #2: [6, 2, 116] from Operation: 92+24=116
Current State: 52:[6, 2, 116], Operations: ['92+24=116']
Exploring Operation: 116/2=58, Resulting Numbers: [6, 58]
Generated Node #3: [6, 58] from Operation: 116/2=58
Current State: 52:[6, 58], Operations: ['92+24=116', '116/2=58']
Exploring Operation: 58-6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[6, 92, 2, 24], Operations: []
Exploring Operation: 92/2=46, Resulting Numbers: [6, 24, 46]
Generated Node #0,0: 52:[6, 24, 46] Operation: 92/2=46
Moving to Node #0,0
Current State: 52:[6, 24, 46], Operations: ['92/2=46']
Exploring Operation: 6+46=52, Resulting Numbers: [24, 52]
Generated Node #0,0,0: 52:[24, 52] Operation: 6+46=52
Moving to Node #0,0,0
Current State: 52:[24, 52], Operations: ['92/2=46', '6+46=52']
Exploring Operation: 52-24=28, Resulting Numbers: [28]
28,52 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
6,
10,
47,
54
] | 23 | [
"6+10=16",
"54-47=7",
"16+7=23"
] | Current State: 23:[6, 10, 47, 54], Operations: []
Exploring Operation: 6+10=16, Resulting Numbers: [47, 54, 16]
Generated Node #2: [47, 54, 16] from Operation: 6+10=16
Current State: 23:[47, 54, 16], Operations: ['6+10=16']
Exploring Operation: 54-47=7, Resulting Numbers: [16, 7]
Generated Node #3: [16, 7] from Operation: 54-47=7
Current State: 23:[16, 7], Operations: ['6+10=16', '54-47=7']
Exploring Operation: 16+7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[6, 10, 47, 54], Operations: []
Exploring Operation: 54/6=9, Resulting Numbers: [10, 47, 9]
Generated Node #0,0: 23:[10, 47, 9] Operation: 54/6=9
Exploring Operation: 54-47=7, Resulting Numbers: [6, 10, 7]
Generated Node #0,1: 23:[6, 10, 7] Operation: 54-47=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 23:[6, 10, 7], Operations: ['54-47=7']
Exploring Operation: 6+7=13, Resulting Numbers: [10, 13]
Generated Node #0,1,0: 23:[10, 13] Operation: 6+7=13
Exploring Operation: 6+10=16, Resulting Numbers: [7, 16]
Generated Node #0,1,1: 23:[7, 16] Operation: 6+10=16
Moving to Node #0,1,0
Current State: 23:[10, 13], Operations: ['54-47=7', '6+7=13']
Exploring Operation: 13-10=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Moving to Node #0
Current State: 23:[6, 10, 47, 54], Operations: []
Exploring Operation: 54-47=7, Resulting Numbers: [6, 10, 7]
Generated Node #0,1: 23:[6, 10, 7] Operation: 54-47=7
Moving to Node #0,1
Current State: 23:[6, 10, 7], Operations: ['54-47=7']
Exploring Operation: 6+7=13, Resulting Numbers: [10, 13]
Generated Node #0,1,0: 23:[10, 13] Operation: 6+7=13
Moving to Node #0,1,0
Current State: 23:[10, 13], Operations: ['54-47=7', '6+7=13']
Exploring Operation: 10+13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | sum_heuristic |
[
33,
72,
68,
92
] | 81 | [
"33+72=105",
"92-68=24",
"105-24=81"
] | Current State: 81:[33, 72, 68, 92], Operations: []
Exploring Operation: 33+72=105, Resulting Numbers: [68, 92, 105]
Generated Node #2: [68, 92, 105] from Operation: 33+72=105
Current State: 81:[68, 92, 105], Operations: ['33+72=105']
Exploring Operation: 92-68=24, Resulting Numbers: [105, 24]
Generated Node #3: [105, 24] from Operation: 92-68=24
Current State: 81:[105, 24], Operations: ['33+72=105', '92-68=24']
Exploring Operation: 105-24=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[33, 72, 68, 92], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [33, 72, 24]
Generated Node #0,0: 81:[33, 72, 24] Operation: 92-68=24
Exploring Operation: 72-68=4, Resulting Numbers: [33, 92, 4]
Generated Node #0,1: 81:[33, 92, 4] Operation: 72-68=4
Exploring Operation: 92-72=20, Resulting Numbers: [33, 68, 20]
Generated Node #0,2: 81:[33, 68, 20] Operation: 92-72=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 81:[33, 72, 24], Operations: ['92-68=24']
Exploring Operation: 72/24=3, Resulting Numbers: [33, 3]
Generated Node #0,0,0: 81:[33, 3] Operation: 72/24=3
Exploring Operation: 72-33=39, Resulting Numbers: [24, 39]
Generated Node #0,0,1: 81:[24, 39] Operation: 72-33=39
Exploring Operation: 33-24=9, Resulting Numbers: [72, 9]
Generated Node #0,0,2: 81:[72, 9] Operation: 33-24=9
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 81:[33, 3], Operations: ['92-68=24', '72/24=3']
Exploring Operation: 33+3=36, Resulting Numbers: [36]
36,81 unequal: No Solution
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,81 unequal: No Solution
No 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: 81:[72, 9], Operations: ['92-68=24', '33-24=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[33, 72, 68, 92], Operations: []
Exploring Operation: 92-68=24, Resulting Numbers: [33, 72, 24]
Generated Node #0,0: 81:[33, 72, 24] Operation: 92-68=24
Moving to Node #0,0
Current State: 81:[33, 72, 24], Operations: ['92-68=24']
Exploring Operation: 33-24=9, Resulting Numbers: [72, 9]
Generated Node #0,0,2: 81:[72, 9] Operation: 33-24=9
Moving to Node #0,0,2
Current State: 81:[72, 9], Operations: ['92-68=24', '33-24=9']
Exploring Operation: 72+9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
85,
97,
57,
80
] | 35 | [
"97-85=12",
"80-57=23",
"12+23=35"
] | Current State: 35:[85, 97, 57, 80], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [57, 80, 12]
Generated Node #2: [57, 80, 12] from Operation: 97-85=12
Current State: 35:[57, 80, 12], Operations: ['97-85=12']
Exploring Operation: 80-57=23, Resulting Numbers: [12, 23]
Generated Node #3: [12, 23] from Operation: 80-57=23
Current State: 35:[12, 23], Operations: ['97-85=12', '80-57=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[85, 97, 57, 80], Operations: []
Exploring Operation: 97-80=17, Resulting Numbers: [85, 57, 17]
Generated Node #0,0: 35:[85, 57, 17] Operation: 97-80=17
Exploring Operation: 97-85=12, Resulting Numbers: [57, 80, 12]
Generated Node #0,1: 35:[57, 80, 12] Operation: 97-85=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[57, 80, 12], Operations: ['97-85=12']
Exploring Operation: 57-12=45, Resulting Numbers: [80, 45]
Generated Node #0,1,0: 35:[80, 45] Operation: 57-12=45
Exploring Operation: 80-57=23, Resulting Numbers: [12, 23]
Generated Node #0,1,1: 35:[12, 23] Operation: 80-57=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 35:[12, 23], Operations: ['97-85=12', '80-57=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[85, 97, 57, 80], Operations: []
Exploring Operation: 97-85=12, Resulting Numbers: [57, 80, 12]
Generated Node #0,1: 35:[57, 80, 12] Operation: 97-85=12
Moving to Node #0,1
Current State: 35:[57, 80, 12], Operations: ['97-85=12']
Exploring Operation: 80-57=23, Resulting Numbers: [12, 23]
Generated Node #0,1,1: 35:[12, 23] Operation: 80-57=23
Moving to Node #0,1,1
Current State: 35:[12, 23], Operations: ['97-85=12', '80-57=23']
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
13,
78,
2,
5
] | 84 | [
"13+78=91",
"2+5=7",
"91-7=84"
] | Current State: 84:[13, 78, 2, 5], Operations: []
Exploring Operation: 13+78=91, Resulting Numbers: [2, 5, 91]
Generated Node #2: [2, 5, 91] from Operation: 13+78=91
Current State: 84:[2, 5, 91], Operations: ['13+78=91']
Exploring Operation: 2+5=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 2+5=7
Current State: 84:[91, 7], Operations: ['13+78=91', '2+5=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[13, 78, 2, 5], Operations: []
Exploring Operation: 78/2=39, Resulting Numbers: [13, 5, 39]
Generated Node #0,0: 84:[13, 5, 39] Operation: 78/2=39
Exploring Operation: 78+2=80, Resulting Numbers: [13, 5, 80]
Generated Node #0,1: 84:[13, 5, 80] Operation: 78+2=80
Exploring Operation: 13-5=8, Resulting Numbers: [78, 2, 8]
Generated Node #0,2: 84:[78, 2, 8] Operation: 13-5=8
Exploring Operation: 78+5=83, Resulting Numbers: [13, 2, 83]
Generated Node #0,3: 84:[13, 2, 83] Operation: 78+5=83
Exploring Operation: 78/13=6, Resulting Numbers: [2, 5, 6]
Generated Node #0,4: 84:[2, 5, 6] Operation: 78/13=6
Moving to Node #0,4
Current State: 84:[2, 5, 6], Operations: ['78/13=6']
Exploring Operation: 2*6=12, Resulting Numbers: [5, 12]
Generated Node #0,4,0: 84:[5, 12] Operation: 2*6=12
Exploring Operation: 5-2=3, Resulting Numbers: [6, 3]
Generated Node #0,4,1: 84:[6, 3] Operation: 5-2=3
Exploring Operation: 2+5=7, Resulting Numbers: [6, 7]
Generated Node #0,4,2: 84:[6, 7] Operation: 2+5=7
Exploring Operation: 6/2=3, Resulting Numbers: [5, 3]
Generated Node #0,4,3: 84:[5, 3] Operation: 6/2=3
Exploring Operation: 6-2=4, Resulting Numbers: [5, 4]
Generated Node #0,4,4: 84:[5, 4] Operation: 6-2=4
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 84:[6, 3], Operations: ['78/13=6', '5-2=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,84 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 #0,4,2
Current State: 84:[6, 7], Operations: ['78/13=6', '2+5=7']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,84 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,84 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 #0,4,0
Current State: 84:[5, 12], Operations: ['78/13=6', '2*6=12']
Exploring Operation: 5+12=17, Resulting Numbers: [17]
17,84 unequal: No Solution
Exploring Operation: 12-5=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,84 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 #0,4,3
Current State: 84:[5, 3], Operations: ['78/13=6', '6/2=3']
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,84 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 #0,4,4
Current State: 84:[5, 4], Operations: ['78/13=6', '6-2=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,84 unequal: No Solution
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,84 unequal: No Solution
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,84 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: 84:[13, 2, 83], Operations: ['78+5=83']
Exploring Operation: 13-2=11, Resulting Numbers: [83, 11]
Generated Node #0,3,0: 84:[83, 11] Operation: 13-2=11
Exploring Operation: 13*2=26, Resulting Numbers: [83, 26]
Generated Node #0,3,1: 84:[83, 26] Operation: 13*2=26
Exploring Operation: 83-2=81, Resulting Numbers: [13, 81]
Generated Node #0,3,2: 84:[13, 81] Operation: 83-2=81
Exploring Operation: 13+2=15, Resulting Numbers: [83, 15]
Generated Node #0,3,3: 84:[83, 15] Operation: 13+2=15
Exploring Operation: 2+83=85, Resulting Numbers: [13, 85]
Generated Node #0,3,4: 84:[13, 85] Operation: 2+83=85
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 84:[83, 11], Operations: ['78+5=83', '13-2=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 83*11=913, Resulting Numbers: [913]
913,84 unequal: No Solution
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,84 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:[83, 15], Operations: ['78+5=83', '13+2=15']
Exploring Operation: 83-15=68, Resulting Numbers: [68]
68,84 unequal: No Solution
Exploring Operation: 83+15=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 83*15=1245, Resulting Numbers: [1245]
1245,84 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 #0,3,4
Current State: 84:[13, 85], Operations: ['78+5=83', '2+83=85']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,84 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:[83, 26], Operations: ['78+5=83', '13*2=26']
Exploring Operation: 83-26=57, Resulting Numbers: [57]
57,84 unequal: No Solution
Exploring Operation: 83+26=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 83*26=2158, Resulting Numbers: [2158]
2158,84 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 #0,3,2
Current State: 84:[13, 81], Operations: ['78+5=83', '83-2=81']
Exploring Operation: 13*81=1053, Resulting Numbers: [1053]
1053,84 unequal: No Solution
Exploring Operation: 13+81=94, Resulting Numbers: [94]
94,84 unequal: No Solution
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,84 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:[13, 5, 39], Operations: ['78/2=39']
Exploring Operation: 13+5=18, Resulting Numbers: [39, 18]
Generated Node #0,0,0: 84:[39, 18] Operation: 13+5=18
Exploring Operation: 39/13=3, Resulting Numbers: [5, 3]
Generated Node #0,0,1: 84:[5, 3] Operation: 39/13=3
Exploring Operation: 39-13=26, Resulting Numbers: [5, 26]
Generated Node #0,0,2: 84:[5, 26] Operation: 39-13=26
Exploring Operation: 5+39=44, Resulting Numbers: [13, 44]
Generated Node #0,0,3: 84:[13, 44] Operation: 5+39=44
Exploring Operation: 13-5=8, Resulting Numbers: [39, 8]
Generated Node #0,0,4: 84:[39, 8] Operation: 13-5=8
Moving to Node #0,1
Current State: 84:[13, 5, 80], Operations: ['78+2=80']
Exploring Operation: 5+80=85, Resulting Numbers: [13, 85]
Generated Node #0,1,0: 84:[13, 85] Operation: 5+80=85
Exploring Operation: 13-5=8, Resulting Numbers: [80, 8]
Generated Node #0,1,1: 84:[80, 8] Operation: 13-5=8
Exploring Operation: 80/5=16, Resulting Numbers: [13, 16]
Generated Node #0,1,2: 84:[13, 16] Operation: 80/5=16
Exploring Operation: 13+80=93, Resulting Numbers: [5, 93]
Generated Node #0,1,3: 84:[5, 93] Operation: 13+80=93
Exploring Operation: 13+5=18, Resulting Numbers: [80, 18]
Generated Node #0,1,4: 84:[80, 18] Operation: 13+5=18
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 84:[13, 85], Operations: ['78+2=80', '5+80=85']
Exploring Operation: 85-13=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 13*85=1105, Resulting Numbers: [1105]
1105,84 unequal: No Solution
Exploring Operation: 13+85=98, Resulting Numbers: [98]
98,84 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 #0,1,2
Current State: 84:[13, 16], Operations: ['78+2=80', '80/5=16']
Exploring Operation: 13+16=29, Resulting Numbers: [29]
29,84 unequal: No Solution
Exploring Operation: 16-13=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 13*16=208, Resulting Numbers: [208]
208,84 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 #0,1,1
Current State: 84:[80, 8], Operations: ['78+2=80', '13-5=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,84 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,84 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 #0,1,4
Current State: 84:[80, 18], Operations: ['78+2=80', '13+5=18']
Exploring Operation: 80-18=62, Resulting Numbers: [62]
62,84 unequal: No Solution
Exploring Operation: 80+18=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 80*18=1440, Resulting Numbers: [1440]
1440,84 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 #0,1,3
Current State: 84:[5, 93], Operations: ['78+2=80', '13+80=93']
Exploring Operation: 5*93=465, Resulting Numbers: [465]
465,84 unequal: No Solution
Exploring Operation: 5+93=98, Resulting Numbers: [98]
98,84 unequal: No Solution
Exploring Operation: 93-5=88, Resulting Numbers: [88]
88,84 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: 84:[78, 2, 8], Operations: ['13-5=8']
Exploring Operation: 78+8=86, Resulting Numbers: [2, 86]
Generated Node #0,2,0: 84:[2, 86] Operation: 78+8=86
Exploring Operation: 78/2=39, Resulting Numbers: [8, 39]
Generated Node #0,2,1: 84:[8, 39] Operation: 78/2=39
Exploring Operation: 8-2=6, Resulting Numbers: [78, 6]
Generated Node #0,2,2: 84:[78, 6] Operation: 8-2=6
Exploring Operation: 78+2=80, Resulting Numbers: [8, 80]
Generated Node #0,2,3: 84:[8, 80] Operation: 78+2=80
Exploring Operation: 8/2=4, Resulting Numbers: [78, 4]
Generated Node #0,2,4: 84:[78, 4] Operation: 8/2=4
Moving to Node #0,0,1
Current State: 84:[5, 3], Operations: ['78/2=39', '39/13=3']
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,84 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,84 unequal: No Solution
Moving to Node #0,2,0
Current State: 84:[2, 86], Operations: ['13-5=8', '78+8=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,84 unequal: No Solution
Exploring Operation: 2+86=88, Resulting Numbers: [88]
88,84 unequal: No Solution
Exploring Operation: 2*86=172, Resulting Numbers: [172]
172,84 unequal: No Solution
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[13, 78, 2, 5], Operations: []
Exploring Operation: 13-5=8, Resulting Numbers: [78, 2, 8]
Generated Node #0,2: 84:[78, 2, 8] Operation: 13-5=8
Moving to Node #0,2
Current State: 84:[78, 2, 8], Operations: ['13-5=8']
Exploring Operation: 78+8=86, Resulting Numbers: [2, 86]
Generated Node #0,2,0: 84:[2, 86] Operation: 78+8=86
Moving to Node #0,2,0
Current State: 84:[2, 86], Operations: ['13-5=8', '78+8=86']
Exploring Operation: 86-2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.923611 | hs_5 | mult_heuristic |
[
43,
75,
46,
36
] | 13 | [
"46-43=3",
"75-36=39",
"39/3=13"
] | Current State: 13:[43, 75, 46, 36], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [75, 36, 3]
Generated Node #2: [75, 36, 3] from Operation: 46-43=3
Current State: 13:[75, 36, 3], Operations: ['46-43=3']
Exploring Operation: 75-36=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 75-36=39
Current State: 13:[3, 39], Operations: ['46-43=3', '75-36=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[43, 75, 46, 36], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [43, 36, 29]
Generated Node #0,0: 13:[43, 36, 29] Operation: 75-46=29
Exploring Operation: 46-43=3, Resulting Numbers: [75, 36, 3]
Generated Node #0,1: 13:[75, 36, 3] Operation: 46-43=3
Exploring Operation: 75-43=32, Resulting Numbers: [46, 36, 32]
Generated Node #0,2: 13:[46, 36, 32] Operation: 75-43=32
Exploring Operation: 75-36=39, Resulting Numbers: [43, 46, 39]
Generated Node #0,3: 13:[43, 46, 39] Operation: 75-36=39
Moving to Node #0,0
Current State: 13:[43, 36, 29], Operations: ['75-46=29']
Exploring Operation: 43-36=7, Resulting Numbers: [29, 7]
Generated Node #0,0,0: 13:[29, 7] Operation: 43-36=7
Exploring Operation: 36-29=7, Resulting Numbers: [43, 7]
Generated Node #0,0,1: 13:[43, 7] Operation: 36-29=7
Exploring Operation: 43-29=14, Resulting Numbers: [36, 14]
Generated Node #0,0,2: 13:[36, 14] Operation: 43-29=14
Exploring Operation: 43+36=79, Resulting Numbers: [29, 79]
Generated Node #0,0,3: 13:[29, 79] Operation: 43+36=79
Moving to Node #0,2
Current State: 13:[46, 36, 32], Operations: ['75-43=32']
Exploring Operation: 46-32=14, Resulting Numbers: [36, 14]
Generated Node #0,2,0: 13:[36, 14] Operation: 46-32=14
Exploring Operation: 46+36=82, Resulting Numbers: [32, 82]
Generated Node #0,2,1: 13:[32, 82] Operation: 46+36=82
Exploring Operation: 36-32=4, Resulting Numbers: [46, 4]
Generated Node #0,2,2: 13:[46, 4] Operation: 36-32=4
Exploring Operation: 46-36=10, Resulting Numbers: [32, 10]
Generated Node #0,2,3: 13:[32, 10] Operation: 46-36=10
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 13:[32, 10], Operations: ['75-43=32', '46-36=10']
Exploring Operation: 32*10=320, Resulting Numbers: [320]
320,13 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 32+10=42, Resulting Numbers: [42]
42,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 13:[36, 14], Operations: ['75-43=32', '46-32=14']
Exploring Operation: 36*14=504, Resulting Numbers: [504]
504,13 unequal: No Solution
Exploring Operation: 36-14=22, Resulting Numbers: [22]
22,13 unequal: No Solution
Exploring Operation: 36+14=50, Resulting Numbers: [50]
50,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 13:[46, 4], Operations: ['75-43=32', '36-32=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,13 unequal: No Solution
Exploring Operation: 46*4=184, Resulting Numbers: [184]
184,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 13:[32, 82], Operations: ['75-43=32', '46+36=82']
Exploring Operation: 32+82=114, Resulting Numbers: [114]
114,13 unequal: No Solution
Exploring Operation: 82-32=50, Resulting Numbers: [50]
50,13 unequal: No Solution
Exploring Operation: 32*82=2624, Resulting Numbers: [2624]
2624,13 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: 13:[43, 46, 39], Operations: ['75-36=39']
Exploring Operation: 43+46=89, Resulting Numbers: [39, 89]
Generated Node #0,3,0: 13:[39, 89] Operation: 43+46=89
Exploring Operation: 46-39=7, Resulting Numbers: [43, 7]
Generated Node #0,3,1: 13:[43, 7] Operation: 46-39=7
Exploring Operation: 46-43=3, Resulting Numbers: [39, 3]
Generated Node #0,3,2: 13:[39, 3] Operation: 46-43=3
Exploring Operation: 43-39=4, Resulting Numbers: [46, 4]
Generated Node #0,3,3: 13:[46, 4] Operation: 43-39=4
Moving to Node #0,1
Current State: 13:[75, 36, 3], Operations: ['46-43=3']
Exploring Operation: 75-36=39, Resulting Numbers: [3, 39]
Generated Node #0,1,0: 13:[3, 39] Operation: 75-36=39
Exploring Operation: 36/3=12, Resulting Numbers: [75, 12]
Generated Node #0,1,1: 13:[75, 12] Operation: 36/3=12
Exploring Operation: 75/3=25, Resulting Numbers: [36, 25]
Generated Node #0,1,2: 13:[36, 25] Operation: 75/3=25
Exploring Operation: 75-3=72, Resulting Numbers: [36, 72]
Generated Node #0,1,3: 13:[36, 72] Operation: 75-3=72
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 13:[36, 25], Operations: ['46-43=3', '75/3=25']
Exploring Operation: 36-25=11, Resulting Numbers: [11]
11,13 unequal: No Solution
Exploring Operation: 36*25=900, Resulting Numbers: [900]
900,13 unequal: No Solution
Exploring Operation: 36+25=61, Resulting Numbers: [61]
61,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 13:[3, 39], Operations: ['46-43=3', '75-36=39']
Exploring Operation: 3+39=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[43, 75, 46, 36], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [75, 36, 3]
Generated Node #0,1: 13:[75, 36, 3] Operation: 46-43=3
Moving to Node #0,1
Current State: 13:[75, 36, 3], Operations: ['46-43=3']
Exploring Operation: 75-36=39, Resulting Numbers: [3, 39]
Generated Node #0,1,0: 13:[3, 39] Operation: 75-36=39
Moving to Node #0,1,0
Current State: 13:[3, 39], Operations: ['46-43=3', '75-36=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_4 | sum_heuristic |
[
33,
81,
79,
19
] | 54 | [
"33+81=114",
"79-19=60",
"114-60=54"
] | Current State: 54:[33, 81, 79, 19], Operations: []
Exploring Operation: 33+81=114, Resulting Numbers: [79, 19, 114]
Generated Node #2: [79, 19, 114] from Operation: 33+81=114
Current State: 54:[79, 19, 114], Operations: ['33+81=114']
Exploring Operation: 79-19=60, Resulting Numbers: [114, 60]
Generated Node #3: [114, 60] from Operation: 79-19=60
Current State: 54:[114, 60], Operations: ['33+81=114', '79-19=60']
Exploring Operation: 114-60=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[33, 81, 79, 19], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [33, 19, 2]
Generated Node #0,0: 54:[33, 19, 2] Operation: 81-79=2
Exploring Operation: 81-33=48, Resulting Numbers: [79, 19, 48]
Generated Node #0,1: 54:[79, 19, 48] Operation: 81-33=48
Moving to Node #0,0
Current State: 54:[33, 19, 2], Operations: ['81-79=2']
Exploring Operation: 33-19=14, Resulting Numbers: [2, 14]
Generated Node #0,0,0: 54:[2, 14] Operation: 33-19=14
Exploring Operation: 33+19=52, Resulting Numbers: [2, 52]
Generated Node #0,0,1: 54:[2, 52] Operation: 33+19=52
Moving to Node #0,1
Current State: 54:[79, 19, 48], Operations: ['81-33=48']
Exploring Operation: 79-48=31, Resulting Numbers: [19, 31]
Generated Node #0,1,0: 54:[19, 31] Operation: 79-48=31
Exploring Operation: 79-19=60, Resulting Numbers: [48, 60]
Generated Node #0,1,1: 54:[48, 60] Operation: 79-19=60
Moving to Node #0,0,1
Current State: 54:[2, 52], Operations: ['81-79=2', '33+19=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[33, 81, 79, 19], Operations: []
Exploring Operation: 81-79=2, Resulting Numbers: [33, 19, 2]
Generated Node #0,0: 54:[33, 19, 2] Operation: 81-79=2
Moving to Node #0,0
Current State: 54:[33, 19, 2], Operations: ['81-79=2']
Exploring Operation: 33+19=52, Resulting Numbers: [2, 52]
Generated Node #0,0,1: 54:[2, 52] Operation: 33+19=52
Moving to Node #0,0,1
Current State: 54:[2, 52], Operations: ['81-79=2', '33+19=52']
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.990451 | hs_2 | mult_heuristic |
[
7,
16,
39,
65
] | 86 | [
"7*16=112",
"65-39=26",
"112-26=86"
] | Current State: 86:[7, 16, 39, 65], Operations: []
Exploring Operation: 7*16=112, Resulting Numbers: [39, 65, 112]
Generated Node #2: [39, 65, 112] from Operation: 7*16=112
Current State: 86:[39, 65, 112], Operations: ['7*16=112']
Exploring Operation: 65-39=26, Resulting Numbers: [112, 26]
Generated Node #3: [112, 26] from Operation: 65-39=26
Current State: 86:[112, 26], Operations: ['7*16=112', '65-39=26']
Exploring Operation: 112-26=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[7, 16, 39, 65], Operations: []
Exploring Operation: 16+65=81, Resulting Numbers: [7, 39, 81]
Generated Node #0,0: 86:[7, 39, 81] Operation: 16+65=81
Moving to Node #0,0
Current State: 86:[7, 39, 81], Operations: ['16+65=81']
Exploring Operation: 7+81=88, Resulting Numbers: [39, 88]
Generated Node #0,0,0: 86:[39, 88] Operation: 7+81=88
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[39, 88], Operations: ['16+65=81', '7+81=88']
Exploring Operation: 88-39=49, Resulting Numbers: [49]
49,86 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 |
[
61,
83,
36,
97
] | 66 | [
"83+97=180",
"180/36=5",
"61+5=66"
] | Current State: 66:[61, 83, 36, 97], Operations: []
Exploring Operation: 83+97=180, Resulting Numbers: [61, 36, 180]
Generated Node #2: [61, 36, 180] from Operation: 83+97=180
Current State: 66:[61, 36, 180], Operations: ['83+97=180']
Exploring Operation: 180/36=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 180/36=5
Current State: 66:[61, 5], Operations: ['83+97=180', '180/36=5']
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[61, 83, 36, 97], Operations: []
Exploring Operation: 97-83=14, Resulting Numbers: [61, 36, 14]
Generated Node #0,0: 66:[61, 36, 14] Operation: 97-83=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[61, 36, 14], Operations: ['97-83=14']
Exploring Operation: 36-14=22, Resulting Numbers: [61, 22]
Generated Node #0,0,0: 66:[61, 22] Operation: 36-14=22
Moving to Node #0,0,0
Current State: 66:[61, 22], Operations: ['97-83=14', '36-14=22']
Exploring Operation: 61-22=39, Resulting Numbers: [39]
39,66 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 |
[
60,
58,
19,
8
] | 76 | [
"60-58=2",
"19*8=152",
"152/2=76"
] | Current State: 76:[60, 58, 19, 8], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [19, 8, 2]
Generated Node #2: [19, 8, 2] from Operation: 60-58=2
Current State: 76:[19, 8, 2], Operations: ['60-58=2']
Exploring Operation: 19*8=152, Resulting Numbers: [2, 152]
Generated Node #3: [2, 152] from Operation: 19*8=152
Current State: 76:[2, 152], Operations: ['60-58=2', '19*8=152']
Exploring Operation: 152/2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[60, 58, 19, 8], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [19, 8, 2]
Generated Node #0,0: 76:[19, 8, 2] Operation: 60-58=2
Exploring Operation: 58+19=77, Resulting Numbers: [60, 8, 77]
Generated Node #0,1: 76:[60, 8, 77] Operation: 58+19=77
Moving to Node #0,0
Current State: 76:[19, 8, 2], Operations: ['60-58=2']
Exploring Operation: 8/2=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 76:[19, 4] Operation: 8/2=4
Exploring Operation: 8-2=6, Resulting Numbers: [19, 6]
Generated Node #0,0,1: 76:[19, 6] Operation: 8-2=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[19, 4], Operations: ['60-58=2', '8/2=4']
Exploring Operation: 19+4=23, Resulting Numbers: [23]
23,76 unequal: No Solution
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[60, 58, 19, 8], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [19, 8, 2]
Generated Node #0,0: 76:[19, 8, 2] Operation: 60-58=2
Moving to Node #0,0
Current State: 76:[19, 8, 2], Operations: ['60-58=2']
Exploring Operation: 8/2=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 76:[19, 4] Operation: 8/2=4
Moving to Node #0,0,0
Current State: 76:[19, 4], Operations: ['60-58=2', '8/2=4']
Exploring Operation: 19*4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
94,
19,
32,
61
] | 84 | [
"94+19=113",
"61-32=29",
"113-29=84"
] | Current State: 84:[94, 19, 32, 61], Operations: []
Exploring Operation: 94+19=113, Resulting Numbers: [32, 61, 113]
Generated Node #2: [32, 61, 113] from Operation: 94+19=113
Current State: 84:[32, 61, 113], Operations: ['94+19=113']
Exploring Operation: 61-32=29, Resulting Numbers: [113, 29]
Generated Node #3: [113, 29] from Operation: 61-32=29
Current State: 84:[113, 29], Operations: ['94+19=113', '61-32=29']
Exploring Operation: 113-29=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[94, 19, 32, 61], Operations: []
Exploring Operation: 94-61=33, Resulting Numbers: [19, 32, 33]
Generated Node #0,0: 84:[19, 32, 33] Operation: 94-61=33
Exploring Operation: 61-19=42, Resulting Numbers: [94, 32, 42]
Generated Node #0,1: 84:[94, 32, 42] Operation: 61-19=42
Exploring Operation: 61-32=29, Resulting Numbers: [94, 19, 29]
Generated Node #0,2: 84:[94, 19, 29] Operation: 61-32=29
Moving to Node #0,0
Current State: 84:[19, 32, 33], Operations: ['94-61=33']
Exploring Operation: 32-19=13, Resulting Numbers: [33, 13]
Generated Node #0,0,0: 84:[33, 13] Operation: 32-19=13
Exploring Operation: 33-32=1, Resulting Numbers: [19, 1]
Generated Node #0,0,1: 84:[19, 1] Operation: 33-32=1
Exploring Operation: 33-19=14, Resulting Numbers: [32, 14]
Generated Node #0,0,2: 84:[32, 14] Operation: 33-19=14
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 84:[19, 1], Operations: ['94-61=33', '33-32=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,84 unequal: No Solution
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,84 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 #0,0,2
Current State: 84:[32, 14], Operations: ['94-61=33', '33-19=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,84 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,84 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 #0,0,0
Current State: 84:[33, 13], Operations: ['94-61=33', '32-19=13']
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,84 unequal: No Solution
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,84 unequal: No Solution
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 84:[94, 19, 29], Operations: ['61-32=29']
Exploring Operation: 94-19=75, Resulting Numbers: [29, 75]
Generated Node #0,2,0: 84:[29, 75] Operation: 94-19=75
Exploring Operation: 29-19=10, Resulting Numbers: [94, 10]
Generated Node #0,2,1: 84:[94, 10] Operation: 29-19=10
Exploring Operation: 19+29=48, Resulting Numbers: [94, 48]
Generated Node #0,2,2: 84:[94, 48] Operation: 19+29=48
Moving to Node #0,1
Current State: 84:[94, 32, 42], Operations: ['61-19=42']
Exploring Operation: 94-42=52, Resulting Numbers: [32, 52]
Generated Node #0,1,0: 84:[32, 52] Operation: 94-42=52
Exploring Operation: 42-32=10, Resulting Numbers: [94, 10]
Generated Node #0,1,1: 84:[94, 10] Operation: 42-32=10
Exploring Operation: 94-32=62, Resulting Numbers: [42, 62]
Generated Node #0,1,2: 84:[42, 62] Operation: 94-32=62
Moving to Node #0,2,0
Current State: 84:[29, 75], Operations: ['61-32=29', '94-19=75']
Exploring Operation: 75-29=46, Resulting Numbers: [46]
46,84 unequal: No Solution
Exploring Operation: 29+75=104, Resulting Numbers: [104]
104,84 unequal: No Solution
Exploring Operation: 29*75=2175, Resulting Numbers: [2175]
2175,84 unequal: No Solution
Moving to Node #0,2,1
Current State: 84:[94, 10], Operations: ['61-32=29', '29-19=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[94, 19, 32, 61], Operations: []
Exploring Operation: 61-32=29, Resulting Numbers: [94, 19, 29]
Generated Node #0,2: 84:[94, 19, 29] Operation: 61-32=29
Moving to Node #0,2
Current State: 84:[94, 19, 29], Operations: ['61-32=29']
Exploring Operation: 29-19=10, Resulting Numbers: [94, 10]
Generated Node #0,2,1: 84:[94, 10] Operation: 29-19=10
Moving to Node #0,2,1
Current State: 84:[94, 10], Operations: ['61-32=29', '29-19=10']
Exploring Operation: 94-10=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.974826 | hs_3 | sum_heuristic |
[
97,
82,
64,
66
] | 56 | [
"66-64=2",
"82/2=41",
"97-41=56"
] | Current State: 56:[97, 82, 64, 66], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [97, 82, 2]
Generated Node #2: [97, 82, 2] from Operation: 66-64=2
Current State: 56:[97, 82, 2], Operations: ['66-64=2']
Exploring Operation: 82/2=41, Resulting Numbers: [97, 41]
Generated Node #3: [97, 41] from Operation: 82/2=41
Current State: 56:[97, 41], Operations: ['66-64=2', '82/2=41']
Exploring Operation: 97-41=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[97, 82, 64, 66], Operations: []
Exploring Operation: 82-64=18, Resulting Numbers: [97, 66, 18]
Generated Node #0,0: 56:[97, 66, 18] Operation: 82-64=18
Exploring Operation: 97-82=15, Resulting Numbers: [64, 66, 15]
Generated Node #0,1: 56:[64, 66, 15] Operation: 97-82=15
Exploring Operation: 97-64=33, Resulting Numbers: [82, 66, 33]
Generated Node #0,2: 56:[82, 66, 33] Operation: 97-64=33
Exploring Operation: 82-66=16, Resulting Numbers: [97, 64, 16]
Generated Node #0,3: 56:[97, 64, 16] Operation: 82-66=16
Exploring Operation: 97-66=31, Resulting Numbers: [82, 64, 31]
Generated Node #0,4: 56:[82, 64, 31] Operation: 97-66=31
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[64, 66, 15], Operations: ['97-82=15']
Exploring Operation: 64-15=49, Resulting Numbers: [66, 49]
Generated Node #0,1,0: 56:[66, 49] Operation: 64-15=49
Exploring Operation: 66-64=2, Resulting Numbers: [15, 2]
Generated Node #0,1,1: 56:[15, 2] Operation: 66-64=2
Exploring Operation: 64+15=79, Resulting Numbers: [66, 79]
Generated Node #0,1,2: 56:[66, 79] Operation: 64+15=79
Exploring Operation: 66+15=81, Resulting Numbers: [64, 81]
Generated Node #0,1,3: 56:[64, 81] Operation: 66+15=81
Exploring Operation: 66-15=51, Resulting Numbers: [64, 51]
Generated Node #0,1,4: 56:[64, 51] Operation: 66-15=51
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 56:[15, 2], Operations: ['97-82=15', '66-64=2']
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 56:[64, 51], Operations: ['97-82=15', '66-15=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,56 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 56:[66, 49], Operations: ['97-82=15', '64-15=49']
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 66*49=3234, Resulting Numbers: [3234]
3234,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 56:[66, 79], Operations: ['97-82=15', '64+15=79']
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,56 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 56:[64, 81], Operations: ['97-82=15', '66+15=81']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 64*81=5184, Resulting Numbers: [5184]
5184,56 unequal: No Solution
Exploring Operation: 64+81=145, Resulting Numbers: [145]
145,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 56:[82, 64, 31], Operations: ['97-66=31']
Exploring Operation: 82-64=18, Resulting Numbers: [31, 18]
Generated Node #0,4,0: 56:[31, 18] Operation: 82-64=18
Exploring Operation: 64-31=33, Resulting Numbers: [82, 33]
Generated Node #0,4,1: 56:[82, 33] Operation: 64-31=33
Exploring Operation: 82-31=51, Resulting Numbers: [64, 51]
Generated Node #0,4,2: 56:[64, 51] Operation: 82-31=51
Exploring Operation: 64+31=95, Resulting Numbers: [82, 95]
Generated Node #0,4,3: 56:[82, 95] Operation: 64+31=95
Exploring Operation: 82+31=113, Resulting Numbers: [64, 113]
Generated Node #0,4,4: 56:[64, 113] Operation: 82+31=113
Moving to Node #0,4,0
Current State: 56:[31, 18], Operations: ['97-66=31', '82-64=18']
Exploring Operation: 31+18=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 31*18=558, Resulting Numbers: [558]
558,56 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Moving to Node #0,4,2
Current State: 56:[64, 51], Operations: ['97-66=31', '82-31=51']
Exploring Operation: 64-51=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 64*51=3264, Resulting Numbers: [3264]
3264,56 unequal: No Solution
Exploring Operation: 64+51=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Moving to Node #0,4,1
Current State: 56:[82, 33], Operations: ['97-66=31', '64-31=33']
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 82+33=115, Resulting Numbers: [115]
115,56 unequal: No Solution
Exploring Operation: 82*33=2706, Resulting Numbers: [2706]
2706,56 unequal: No Solution
Moving to Node #0,4,3
Current State: 56:[82, 95], Operations: ['97-66=31', '64+31=95']
Exploring Operation: 82+95=177, Resulting Numbers: [177]
177,56 unequal: No Solution
Exploring Operation: 95-82=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 82*95=7790, Resulting Numbers: [7790]
7790,56 unequal: No Solution
Moving to Node #0,4,4
Current State: 56:[64, 113], Operations: ['97-66=31', '82+31=113']
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 64*113=7232, Resulting Numbers: [7232]
7232,56 unequal: No Solution
Exploring Operation: 64+113=177, Resulting Numbers: [177]
177,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[82, 66, 33], Operations: ['97-64=33']
Exploring Operation: 82+33=115, Resulting Numbers: [66, 115]
Generated Node #0,2,0: 56:[66, 115] Operation: 82+33=115
Exploring Operation: 66/33=2, Resulting Numbers: [82, 2]
Generated Node #0,2,1: 56:[82, 2] Operation: 66/33=2
Exploring Operation: 66-33=33, Resulting Numbers: [82, 33]
Generated Node #0,2,2: 56:[82, 33] Operation: 66-33=33
Exploring Operation: 82-66=16, Resulting Numbers: [33, 16]
Generated Node #0,2,3: 56:[33, 16] Operation: 82-66=16
Exploring Operation: 82-33=49, Resulting Numbers: [66, 49]
Generated Node #0,2,4: 56:[66, 49] Operation: 82-33=49
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 56:[33, 16], Operations: ['97-64=33', '82-66=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 33*16=528, Resulting Numbers: [528]
528,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 56:[66, 49], Operations: ['97-64=33', '82-33=49']
Exploring Operation: 66*49=3234, Resulting Numbers: [3234]
3234,56 unequal: No Solution
Exploring Operation: 66-49=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 66+49=115, Resulting Numbers: [115]
115,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 56:[82, 2], Operations: ['97-64=33', '66/33=2']
Exploring Operation: 82-2=80, Resulting Numbers: [80]
80,56 unequal: No Solution
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,56 unequal: No Solution
Exploring Operation: 82*2=164, Resulting Numbers: [164]
164,56 unequal: No Solution
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 56:[82, 33], Operations: ['97-64=33', '66-33=33']
Exploring Operation: 82*33=2706, Resulting Numbers: [2706]
2706,56 unequal: No Solution
Exploring Operation: 82-33=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 82+33=115, Resulting Numbers: [115]
115,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[66, 115], Operations: ['97-64=33', '82+33=115']
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,56 unequal: No Solution
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,56 unequal: No Solution
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 56:[97, 64, 16], Operations: ['82-66=16']
Exploring Operation: 64-16=48, Resulting Numbers: [97, 48]
Generated Node #0,3,0: 56:[97, 48] Operation: 64-16=48
Exploring Operation: 97+16=113, Resulting Numbers: [64, 113]
Generated Node #0,3,1: 56:[64, 113] Operation: 97+16=113
Exploring Operation: 97-16=81, Resulting Numbers: [64, 81]
Generated Node #0,3,2: 56:[64, 81] Operation: 97-16=81
Exploring Operation: 64/16=4, Resulting Numbers: [97, 4]
Generated Node #0,3,3: 56:[97, 4] Operation: 64/16=4
Exploring Operation: 97-64=33, Resulting Numbers: [16, 33]
Generated Node #0,3,4: 56:[16, 33] Operation: 97-64=33
Moving to Node #0,3,4
Current State: 56:[16, 33], Operations: ['82-66=16', '97-64=33']
Exploring Operation: 16*33=528, Resulting Numbers: [528]
528,56 unequal: No Solution
Exploring Operation: 33-16=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 16+33=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Moving to Node #0,3,2
Current State: 56:[64, 81], Operations: ['82-66=16', '97-16=81']
Exploring Operation: 64+81=145, Resulting Numbers: [145]
145,56 unequal: No Solution
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,56 unequal: No Solution
Exploring Operation: 64*81=5184, Resulting Numbers: [5184]
5184,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[97, 4], Operations: ['82-66=16', '64/16=4']
Exploring Operation: 97+4=101, Resulting Numbers: [101]
101,56 unequal: No Solution
Exploring Operation: 97*4=388, Resulting Numbers: [388]
388,56 unequal: No Solution
Exploring Operation: 97-4=93, Resulting Numbers: [93]
93,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[97, 48], Operations: ['82-66=16', '64-16=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,56 unequal: No Solution
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[64, 113], Operations: ['82-66=16', '97+16=113']
Exploring Operation: 113-64=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 64*113=7232, Resulting Numbers: [7232]
7232,56 unequal: No Solution
Exploring Operation: 64+113=177, Resulting Numbers: [177]
177,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[97, 66, 18], Operations: ['82-64=18']
Exploring Operation: 97+18=115, Resulting Numbers: [66, 115]
Generated Node #0,0,0: 56:[66, 115] Operation: 97+18=115
Exploring Operation: 97-18=79, Resulting Numbers: [66, 79]
Generated Node #0,0,1: 56:[66, 79] Operation: 97-18=79
Exploring Operation: 66+18=84, Resulting Numbers: [97, 84]
Generated Node #0,0,2: 56:[97, 84] Operation: 66+18=84
Exploring Operation: 66-18=48, Resulting Numbers: [97, 48]
Generated Node #0,0,3: 56:[97, 48] Operation: 66-18=48
Exploring Operation: 97-66=31, Resulting Numbers: [18, 31]
Generated Node #0,0,4: 56:[18, 31] Operation: 97-66=31
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 56:[18, 31], Operations: ['82-64=18', '97-66=31']
Exploring Operation: 18+31=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 18*31=558, Resulting Numbers: [558]
558,56 unequal: No Solution
Exploring Operation: 31-18=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 56:[66, 79], Operations: ['82-64=18', '97-18=79']
Exploring Operation: 66+79=145, Resulting Numbers: [145]
145,56 unequal: No Solution
Exploring Operation: 66*79=5214, Resulting Numbers: [5214]
5214,56 unequal: No Solution
Exploring Operation: 79-66=13, Resulting Numbers: [13]
13,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 56:[97, 48], Operations: ['82-64=18', '66-18=48']
Exploring Operation: 97-48=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 97*48=4656, Resulting Numbers: [4656]
4656,56 unequal: No Solution
Exploring Operation: 97+48=145, Resulting Numbers: [145]
145,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[66, 115], Operations: ['82-64=18', '97+18=115']
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,56 unequal: No Solution
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,56 unequal: No Solution
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 56:[97, 84], Operations: ['82-64=18', '66+18=84']
Exploring Operation: 97*84=8148, Resulting Numbers: [8148]
8148,56 unequal: No Solution
Exploring Operation: 97-84=13, Resulting Numbers: [13]
13,56 unequal: No Solution
Exploring Operation: 97+84=181, Resulting Numbers: [181]
181,56 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
46,
54,
17,
3
] | 75 | [
"54-46=8",
"17+8=25",
"3*25=75"
] | Current State: 75:[46, 54, 17, 3], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [17, 3, 8]
Generated Node #2: [17, 3, 8] from Operation: 54-46=8
Current State: 75:[17, 3, 8], Operations: ['54-46=8']
Exploring Operation: 17+8=25, Resulting Numbers: [3, 25]
Generated Node #3: [3, 25] from Operation: 17+8=25
Current State: 75:[3, 25], Operations: ['54-46=8', '17+8=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[46, 54, 17, 3], Operations: []
Exploring Operation: 46-17=29, Resulting Numbers: [54, 3, 29]
Generated Node #0,0: 75:[54, 3, 29] Operation: 46-17=29
Exploring Operation: 54-46=8, Resulting Numbers: [17, 3, 8]
Generated Node #0,1: 75:[17, 3, 8] Operation: 54-46=8
Exploring Operation: 46+54=100, Resulting Numbers: [17, 3, 100]
Generated Node #0,2: 75:[17, 3, 100] Operation: 46+54=100
Exploring Operation: 54+17=71, Resulting Numbers: [46, 3, 71]
Generated Node #0,3: 75:[46, 3, 71] Operation: 54+17=71
Exploring Operation: 54/3=18, Resulting Numbers: [46, 17, 18]
Generated Node #0,4: 75:[46, 17, 18] Operation: 54/3=18
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[17, 3, 8], Operations: ['54-46=8']
Exploring Operation: 17-8=9, Resulting Numbers: [3, 9]
Generated Node #0,1,0: 75:[3, 9] Operation: 17-8=9
Exploring Operation: 8-3=5, Resulting Numbers: [17, 5]
Generated Node #0,1,1: 75:[17, 5] Operation: 8-3=5
Exploring Operation: 17-3=14, Resulting Numbers: [8, 14]
Generated Node #0,1,2: 75:[8, 14] Operation: 17-3=14
Exploring Operation: 3*8=24, Resulting Numbers: [17, 24]
Generated Node #0,1,3: 75:[17, 24] Operation: 3*8=24
Exploring Operation: 17+8=25, Resulting Numbers: [3, 25]
Generated Node #0,1,4: 75:[3, 25] Operation: 17+8=25
Moving to Node #0,1,4
Current State: 75:[3, 25], Operations: ['54-46=8', '17+8=25']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 3+25=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[46, 54, 17, 3], Operations: []
Exploring Operation: 54-46=8, Resulting Numbers: [17, 3, 8]
Generated Node #0,1: 75:[17, 3, 8] Operation: 54-46=8
Moving to Node #0,1
Current State: 75:[17, 3, 8], Operations: ['54-46=8']
Exploring Operation: 17+8=25, Resulting Numbers: [3, 25]
Generated Node #0,1,4: 75:[3, 25] Operation: 17+8=25
Moving to Node #0,1,4
Current State: 75:[3, 25], Operations: ['54-46=8', '17+8=25']
Exploring Operation: 3*25=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
30,
28,
29,
65
] | 96 | [
"30-28=2",
"29+65=94",
"2+94=96"
] | Current State: 96:[30, 28, 29, 65], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [29, 65, 2]
Generated Node #2: [29, 65, 2] from Operation: 30-28=2
Current State: 96:[29, 65, 2], Operations: ['30-28=2']
Exploring Operation: 29+65=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 29+65=94
Current State: 96:[2, 94], Operations: ['30-28=2', '29+65=94']
Exploring Operation: 2+94=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[30, 28, 29, 65], Operations: []
Exploring Operation: 28+65=93, Resulting Numbers: [30, 29, 93]
Generated Node #0,0: 96:[30, 29, 93] Operation: 28+65=93
Exploring Operation: 65-30=35, Resulting Numbers: [28, 29, 35]
Generated Node #0,1: 96:[28, 29, 35] Operation: 65-30=35
Exploring Operation: 65-28=37, Resulting Numbers: [30, 29, 37]
Generated Node #0,2: 96:[30, 29, 37] Operation: 65-28=37
Exploring Operation: 29+65=94, Resulting Numbers: [30, 28, 94]
Generated Node #0,3: 96:[30, 28, 94] Operation: 29+65=94
Exploring Operation: 30+65=95, Resulting Numbers: [28, 29, 95]
Generated Node #0,4: 96:[28, 29, 95] Operation: 30+65=95
Moving to Node #0,0
Current State: 96:[30, 29, 93], Operations: ['28+65=93']
Exploring Operation: 93-29=64, Resulting Numbers: [30, 64]
Generated Node #0,0,0: 96:[30, 64] Operation: 93-29=64
Exploring Operation: 30-29=1, Resulting Numbers: [93, 1]
Generated Node #0,0,1: 96:[93, 1] Operation: 30-29=1
Exploring Operation: 30+29=59, Resulting Numbers: [93, 59]
Generated Node #0,0,2: 96:[93, 59] Operation: 30+29=59
Exploring Operation: 29+93=122, Resulting Numbers: [30, 122]
Generated Node #0,0,3: 96:[30, 122] Operation: 29+93=122
Exploring Operation: 93-30=63, Resulting Numbers: [29, 63]
Generated Node #0,0,4: 96:[29, 63] Operation: 93-30=63
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[93, 1], Operations: ['28+65=93', '30-29=1']
Exploring Operation: 93/1=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 93*1=93, Resulting Numbers: [93]
93,96 unequal: No Solution
Exploring Operation: 93-1=92, Resulting Numbers: [92]
92,96 unequal: No Solution
Exploring Operation: 93+1=94, Resulting Numbers: [94]
94,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 96:[93, 59], Operations: ['28+65=93', '30+29=59']
Exploring Operation: 93+59=152, Resulting Numbers: [152]
152,96 unequal: No Solution
Exploring Operation: 93*59=5487, Resulting Numbers: [5487]
5487,96 unequal: No Solution
Exploring Operation: 93-59=34, Resulting Numbers: [34]
34,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[30, 64], Operations: ['28+65=93', '93-29=64']
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,96 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 96:[29, 63], Operations: ['28+65=93', '93-30=63']
Exploring Operation: 63-29=34, Resulting Numbers: [34]
34,96 unequal: No Solution
Exploring Operation: 29*63=1827, Resulting Numbers: [1827]
1827,96 unequal: No Solution
Exploring Operation: 29+63=92, Resulting Numbers: [92]
92,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 96:[30, 122], Operations: ['28+65=93', '29+93=122']
Exploring Operation: 30+122=152, Resulting Numbers: [152]
152,96 unequal: No Solution
Exploring Operation: 122-30=92, Resulting Numbers: [92]
92,96 unequal: No Solution
Exploring Operation: 30*122=3660, Resulting Numbers: [3660]
3660,96 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: 96:[28, 29, 95], Operations: ['30+65=95']
Exploring Operation: 28+29=57, Resulting Numbers: [95, 57]
Generated Node #0,4,0: 96:[95, 57] Operation: 28+29=57
Exploring Operation: 95-29=66, Resulting Numbers: [28, 66]
Generated Node #0,4,1: 96:[28, 66] Operation: 95-29=66
Exploring Operation: 95-28=67, Resulting Numbers: [29, 67]
Generated Node #0,4,2: 96:[29, 67] Operation: 95-28=67
Exploring Operation: 29-28=1, Resulting Numbers: [95, 1]
Generated Node #0,4,3: 96:[95, 1] Operation: 29-28=1
Exploring Operation: 28+95=123, Resulting Numbers: [29, 123]
Generated Node #0,4,4: 96:[29, 123] Operation: 28+95=123
Moving to Node #0,3
Current State: 96:[30, 28, 94], Operations: ['29+65=94']
Exploring Operation: 28+94=122, Resulting Numbers: [30, 122]
Generated Node #0,3,0: 96:[30, 122] Operation: 28+94=122
Exploring Operation: 94-30=64, Resulting Numbers: [28, 64]
Generated Node #0,3,1: 96:[28, 64] Operation: 94-30=64
Exploring Operation: 30+28=58, Resulting Numbers: [94, 58]
Generated Node #0,3,2: 96:[94, 58] Operation: 30+28=58
Exploring Operation: 30-28=2, Resulting Numbers: [94, 2]
Generated Node #0,3,3: 96:[94, 2] Operation: 30-28=2
Exploring Operation: 94-28=66, Resulting Numbers: [30, 66]
Generated Node #0,3,4: 96:[30, 66] Operation: 94-28=66
Moving to Node #0,1
Current State: 96:[28, 29, 35], Operations: ['65-30=35']
Exploring Operation: 35-28=7, Resulting Numbers: [29, 7]
Generated Node #0,1,0: 96:[29, 7] Operation: 35-28=7
Exploring Operation: 28+29=57, Resulting Numbers: [35, 57]
Generated Node #0,1,1: 96:[35, 57] Operation: 28+29=57
Exploring Operation: 28+35=63, Resulting Numbers: [29, 63]
Generated Node #0,1,2: 96:[29, 63] Operation: 28+35=63
Exploring Operation: 35-29=6, Resulting Numbers: [28, 6]
Generated Node #0,1,3: 96:[28, 6] Operation: 35-29=6
Exploring Operation: 29-28=1, Resulting Numbers: [35, 1]
Generated Node #0,1,4: 96:[35, 1] Operation: 29-28=1
Moving to Node #0,2
Current State: 96:[30, 29, 37], Operations: ['65-28=37']
Exploring Operation: 30+29=59, Resulting Numbers: [37, 59]
Generated Node #0,2,0: 96:[37, 59] Operation: 30+29=59
Exploring Operation: 29+37=66, Resulting Numbers: [30, 66]
Generated Node #0,2,1: 96:[30, 66] Operation: 29+37=66
Exploring Operation: 37-30=7, Resulting Numbers: [29, 7]
Generated Node #0,2,2: 96:[29, 7] Operation: 37-30=7
Exploring Operation: 37-29=8, Resulting Numbers: [30, 8]
Generated Node #0,2,3: 96:[30, 8] Operation: 37-29=8
Exploring Operation: 30-29=1, Resulting Numbers: [37, 1]
Generated Node #0,2,4: 96:[37, 1] Operation: 30-29=1
Moving to Node #0,4,3
Current State: 96:[95, 1], Operations: ['30+65=95', '29-28=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,96 unequal: No Solution
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[30, 28, 29, 65], Operations: []
Exploring Operation: 30+65=95, Resulting Numbers: [28, 29, 95]
Generated Node #0,4: 96:[28, 29, 95] Operation: 30+65=95
Moving to Node #0,4
Current State: 96:[28, 29, 95], Operations: ['30+65=95']
Exploring Operation: 29-28=1, Resulting Numbers: [95, 1]
Generated Node #0,4,3: 96:[95, 1] Operation: 29-28=1
Moving to Node #0,4,3
Current State: 96:[95, 1], Operations: ['30+65=95', '29-28=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.954861 | hs_5 | sum_heuristic |
[
32,
58,
64,
34
] | 63 | [
"32*58=1856",
"1856/64=29",
"34+29=63"
] | Current State: 63:[32, 58, 64, 34], Operations: []
Exploring Operation: 32*58=1856, Resulting Numbers: [64, 34, 1856]
Generated Node #2: [64, 34, 1856] from Operation: 32*58=1856
Current State: 63:[64, 34, 1856], Operations: ['32*58=1856']
Exploring Operation: 1856/64=29, Resulting Numbers: [34, 29]
Generated Node #3: [34, 29] from Operation: 1856/64=29
Current State: 63:[34, 29], Operations: ['32*58=1856', '1856/64=29']
Exploring Operation: 34+29=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[32, 58, 64, 34], Operations: []
Exploring Operation: 34-32=2, Resulting Numbers: [58, 64, 2]
Generated Node #0,0: 63:[58, 64, 2] Operation: 34-32=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[58, 64, 2], Operations: ['34-32=2']
Exploring Operation: 64-58=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 63:[2, 6] Operation: 64-58=6
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[2, 6], Operations: ['34-32=2', '64-58=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
71,
15,
65
] | 60 | [
"71+65=136",
"136/34=4",
"15*4=60"
] | Current State: 60:[34, 71, 15, 65], Operations: []
Exploring Operation: 71+65=136, Resulting Numbers: [34, 15, 136]
Generated Node #2: [34, 15, 136] from Operation: 71+65=136
Current State: 60:[34, 15, 136], Operations: ['71+65=136']
Exploring Operation: 136/34=4, Resulting Numbers: [15, 4]
Generated Node #3: [15, 4] from Operation: 136/34=4
Current State: 60:[15, 4], Operations: ['71+65=136', '136/34=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[34, 71, 15, 65], Operations: []
Exploring Operation: 71-65=6, Resulting Numbers: [34, 15, 6]
Generated Node #0,0: 60:[34, 15, 6] Operation: 71-65=6
Exploring Operation: 71-34=37, Resulting Numbers: [15, 65, 37]
Generated Node #0,1: 60:[15, 65, 37] Operation: 71-34=37
Moving to Node #0,0
Current State: 60:[34, 15, 6], Operations: ['71-65=6']
Exploring Operation: 34-15=19, Resulting Numbers: [6, 19]
Generated Node #0,0,0: 60:[6, 19] Operation: 34-15=19
Exploring Operation: 34-6=28, Resulting Numbers: [15, 28]
Generated Node #0,0,1: 60:[15, 28] Operation: 34-6=28
Moving to Node #0,1
Current State: 60:[15, 65, 37], Operations: ['71-34=37']
Exploring Operation: 37-15=22, Resulting Numbers: [65, 22]
Generated Node #0,1,0: 60:[65, 22] Operation: 37-15=22
Exploring Operation: 65-37=28, Resulting Numbers: [15, 28]
Generated Node #0,1,1: 60:[15, 28] Operation: 65-37=28
Moving to Node #0,0,0
Current State: 60:[6, 19], Operations: ['71-65=6', '34-15=19']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 6+19=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[15, 28], Operations: ['71-34=37', '65-37=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[15, 28], Operations: ['71-65=6', '34-6=28']
Exploring Operation: 28-15=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Exploring Operation: 15+28=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[65, 22], Operations: ['71-34=37', '37-15=22']
Exploring Operation: 65-22=43, Resulting Numbers: [43]
43,60 unequal: No Solution
Exploring Operation: 65+22=87, Resulting Numbers: [87]
87,60 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
39,
9,
63,
2
] | 57 | [
"63-39=24",
"2*24=48",
"9+48=57"
] | Current State: 57:[39, 9, 63, 2], Operations: []
Exploring Operation: 63-39=24, Resulting Numbers: [9, 2, 24]
Generated Node #2: [9, 2, 24] from Operation: 63-39=24
Current State: 57:[9, 2, 24], Operations: ['63-39=24']
Exploring Operation: 2*24=48, Resulting Numbers: [9, 48]
Generated Node #3: [9, 48] from Operation: 2*24=48
Current State: 57:[9, 48], Operations: ['63-39=24', '2*24=48']
Exploring Operation: 9+48=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[39, 9, 63, 2], Operations: []
Exploring Operation: 39+9=48, Resulting Numbers: [63, 2, 48]
Generated Node #0,0: 57:[63, 2, 48] Operation: 39+9=48
Exploring Operation: 63-39=24, Resulting Numbers: [9, 2, 24]
Generated Node #0,1: 57:[9, 2, 24] Operation: 63-39=24
Exploring Operation: 39-9=30, Resulting Numbers: [63, 2, 30]
Generated Node #0,2: 57:[63, 2, 30] Operation: 39-9=30
Start Sub Search at level 1: Moving to Node #0,1
Current State: 57:[9, 2, 24], Operations: ['63-39=24']
Exploring Operation: 24-9=15, Resulting Numbers: [2, 15]
Generated Node #0,1,0: 57:[2, 15] Operation: 24-9=15
Exploring Operation: 9-2=7, Resulting Numbers: [24, 7]
Generated Node #0,1,1: 57:[24, 7] Operation: 9-2=7
Exploring Operation: 9*2=18, Resulting Numbers: [24, 18]
Generated Node #0,1,2: 57:[24, 18] Operation: 9*2=18
Moving to Node #0,1,0
Current State: 57:[2, 15], Operations: ['63-39=24', '24-9=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Moving to Node #0,1,2
Current State: 57:[24, 18], Operations: ['63-39=24', '9*2=18']
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,57 unequal: No Solution
Exploring Operation: 24*18=432, Resulting Numbers: [432]
432,57 unequal: No Solution
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Moving to Node #0,1,1
Current State: 57:[24, 7], Operations: ['63-39=24', '9-2=7']
Exploring Operation: 24+7=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 24*7=168, Resulting Numbers: [168]
168,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 57:[63, 2, 48], Operations: ['39+9=48']
Exploring Operation: 48/2=24, Resulting Numbers: [63, 24]
Generated Node #0,0,0: 57:[63, 24] Operation: 48/2=24
Exploring Operation: 63-48=15, Resulting Numbers: [2, 15]
Generated Node #0,0,1: 57:[2, 15] Operation: 63-48=15
Exploring Operation: 63-2=61, Resulting Numbers: [48, 61]
Generated Node #0,0,2: 57:[48, 61] Operation: 63-2=61
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 57:[2, 15], Operations: ['39+9=48', '63-48=15']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,57 unequal: No Solution
Exploring Operation: 2+15=17, Resulting Numbers: [17]
17,57 unequal: No Solution
Exploring Operation: 2*15=30, Resulting Numbers: [30]
30,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 57:[63, 24], Operations: ['39+9=48', '48/2=24']
Exploring Operation: 63*24=1512, Resulting Numbers: [1512]
1512,57 unequal: No Solution
Exploring Operation: 63+24=87, Resulting Numbers: [87]
87,57 unequal: No Solution
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 57:[48, 61], Operations: ['39+9=48', '63-2=61']
Exploring Operation: 48+61=109, Resulting Numbers: [109]
109,57 unequal: No Solution
Exploring Operation: 48*61=2928, Resulting Numbers: [2928]
2928,57 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 57:[63, 2, 30], Operations: ['39-9=30']
Exploring Operation: 63-2=61, Resulting Numbers: [30, 61]
Generated Node #0,2,0: 57:[30, 61] Operation: 63-2=61
Exploring Operation: 2*30=60, Resulting Numbers: [63, 60]
Generated Node #0,2,1: 57:[63, 60] Operation: 2*30=60
Exploring Operation: 30/2=15, Resulting Numbers: [63, 15]
Generated Node #0,2,2: 57:[63, 15] Operation: 30/2=15
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 57:[63, 60], Operations: ['39-9=30', '2*30=60']
Exploring Operation: 63*60=3780, Resulting Numbers: [3780]
3780,57 unequal: No Solution
Exploring Operation: 63+60=123, Resulting Numbers: [123]
123,57 unequal: No Solution
Exploring Operation: 63-60=3, Resulting Numbers: [3]
3,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 57:[63, 15], Operations: ['39-9=30', '30/2=15']
Exploring Operation: 63+15=78, Resulting Numbers: [78]
78,57 unequal: No Solution
Exploring Operation: 63-15=48, Resulting Numbers: [48]
48,57 unequal: No Solution
Exploring Operation: 63*15=945, Resulting Numbers: [945]
945,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 57:[30, 61], Operations: ['39-9=30', '63-2=61']
Exploring Operation: 30*61=1830, Resulting Numbers: [1830]
1830,57 unequal: No Solution
Exploring Operation: 30+61=91, Resulting Numbers: [91]
91,57 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,57 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
82,
44,
22,
89
] | 15 | [
"82+44=126",
"22+89=111",
"126-111=15"
] | Current State: 15:[82, 44, 22, 89], Operations: []
Exploring Operation: 82+44=126, Resulting Numbers: [22, 89, 126]
Generated Node #2: [22, 89, 126] from Operation: 82+44=126
Current State: 15:[22, 89, 126], Operations: ['82+44=126']
Exploring Operation: 22+89=111, Resulting Numbers: [126, 111]
Generated Node #3: [126, 111] from Operation: 22+89=111
Current State: 15:[126, 111], Operations: ['82+44=126', '22+89=111']
Exploring Operation: 126-111=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[82, 44, 22, 89], Operations: []
Exploring Operation: 89-82=7, Resulting Numbers: [44, 22, 7]
Generated Node #0,0: 15:[44, 22, 7] Operation: 89-82=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 15:[44, 22, 7], Operations: ['89-82=7']
Exploring Operation: 44/22=2, Resulting Numbers: [7, 2]
Generated Node #0,0,0: 15:[7, 2] Operation: 44/22=2
Moving to Node #0,0,0
Current State: 15:[7, 2], Operations: ['89-82=7', '44/22=2']
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,15 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 |
[
15,
30,
91,
60
] | 93 | [
"60-30=30",
"30/15=2",
"91+2=93"
] | Current State: 93:[15, 30, 91, 60], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [15, 91, 30]
Generated Node #2: [15, 91, 30] from Operation: 60-30=30
Current State: 93:[15, 91, 30], Operations: ['60-30=30']
Exploring Operation: 30/15=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 30/15=2
Current State: 93:[91, 2], Operations: ['60-30=30', '30/15=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[15, 30, 91, 60], Operations: []
Exploring Operation: 91-60=31, Resulting Numbers: [15, 30, 31]
Generated Node #0,0: 93:[15, 30, 31] Operation: 91-60=31
Exploring Operation: 60-30=30, Resulting Numbers: [15, 91, 30]
Generated Node #0,1: 93:[15, 91, 30] Operation: 60-30=30
Exploring Operation: 60/15=4, Resulting Numbers: [30, 91, 4]
Generated Node #0,2: 93:[30, 91, 4] Operation: 60/15=4
Moving to Node #0,2
Current State: 93:[30, 91, 4], Operations: ['60/15=4']
Exploring Operation: 30-4=26, Resulting Numbers: [91, 26]
Generated Node #0,2,0: 93:[91, 26] Operation: 30-4=26
Exploring Operation: 91+4=95, Resulting Numbers: [30, 95]
Generated Node #0,2,1: 93:[30, 95] Operation: 91+4=95
Exploring Operation: 30+4=34, Resulting Numbers: [91, 34]
Generated Node #0,2,2: 93:[91, 34] Operation: 30+4=34
Moving to Node #0,0
Current State: 93:[15, 30, 31], Operations: ['91-60=31']
Exploring Operation: 30/15=2, Resulting Numbers: [31, 2]
Generated Node #0,0,0: 93:[31, 2] Operation: 30/15=2
Exploring Operation: 15+30=45, Resulting Numbers: [31, 45]
Generated Node #0,0,1: 93:[31, 45] Operation: 15+30=45
Exploring Operation: 30-15=15, Resulting Numbers: [31, 15]
Generated Node #0,0,2: 93:[31, 15] Operation: 30-15=15
Moving to Node #0,1
Current State: 93:[15, 91, 30], Operations: ['60-30=30']
Exploring Operation: 15+91=106, Resulting Numbers: [30, 106]
Generated Node #0,1,0: 93:[30, 106] Operation: 15+91=106
Exploring Operation: 30-15=15, Resulting Numbers: [91, 15]
Generated Node #0,1,1: 93:[91, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [91, 2]
Generated Node #0,1,2: 93:[91, 2] Operation: 30/15=2
Moving to Node #0,0,0
Current State: 93:[31, 2], Operations: ['91-60=31', '30/15=2']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[91, 2], Operations: ['60-30=30', '30/15=2']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,93 unequal: No Solution
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[15, 30, 91, 60], Operations: []
Exploring Operation: 60-30=30, Resulting Numbers: [15, 91, 30]
Generated Node #0,1: 93:[15, 91, 30] Operation: 60-30=30
Moving to Node #0,1
Current State: 93:[15, 91, 30], Operations: ['60-30=30']
Exploring Operation: 30/15=2, Resulting Numbers: [91, 2]
Generated Node #0,1,2: 93:[91, 2] Operation: 30/15=2
Moving to Node #0,1,2
Current State: 93:[91, 2], Operations: ['60-30=30', '30/15=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
9,
13,
23,
3
] | 12 | [
"9/3=3",
"13+23=36",
"36/3=12"
] | Current State: 12:[9, 13, 23, 3], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [13, 23, 3]
Generated Node #2: [13, 23, 3] from Operation: 9/3=3
Current State: 12:[13, 23, 3], Operations: ['9/3=3']
Exploring Operation: 13+23=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 13+23=36
Current State: 12:[3, 36], Operations: ['9/3=3', '13+23=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[9, 13, 23, 3], Operations: []
Exploring Operation: 13-9=4, Resulting Numbers: [23, 3, 4]
Generated Node #0,0: 12:[23, 3, 4] Operation: 13-9=4
Exploring Operation: 23-9=14, Resulting Numbers: [13, 3, 14]
Generated Node #0,1: 12:[13, 3, 14] Operation: 23-9=14
Exploring Operation: 9+3=12, Resulting Numbers: [13, 23, 12]
Generated Node #0,2: 12:[13, 23, 12] Operation: 9+3=12
Exploring Operation: 23-13=10, Resulting Numbers: [9, 3, 10]
Generated Node #0,3: 12:[9, 3, 10] Operation: 23-13=10
Moving to Node #0,1
Current State: 12:[13, 3, 14], Operations: ['23-9=14']
Exploring Operation: 14-13=1, Resulting Numbers: [3, 1]
Generated Node #0,1,0: 12:[3, 1] Operation: 14-13=1
Exploring Operation: 14-3=11, Resulting Numbers: [13, 11]
Generated Node #0,1,1: 12:[13, 11] Operation: 14-3=11
Exploring Operation: 13+3=16, Resulting Numbers: [14, 16]
Generated Node #0,1,2: 12:[14, 16] Operation: 13+3=16
Exploring Operation: 13-3=10, Resulting Numbers: [14, 10]
Generated Node #0,1,3: 12:[14, 10] Operation: 13-3=10
Moving to Node #0,3
Current State: 12:[9, 3, 10], Operations: ['23-13=10']
Exploring Operation: 9-3=6, Resulting Numbers: [10, 6]
Generated Node #0,3,0: 12:[10, 6] Operation: 9-3=6
Exploring Operation: 10-9=1, Resulting Numbers: [3, 1]
Generated Node #0,3,1: 12:[3, 1] Operation: 10-9=1
Exploring Operation: 9/3=3, Resulting Numbers: [10, 3]
Generated Node #0,3,2: 12:[10, 3] Operation: 9/3=3
Exploring Operation: 9+3=12, Resulting Numbers: [10, 12]
Generated Node #0,3,3: 12:[10, 12] Operation: 9+3=12
Moving to Node #0,0
Current State: 12:[23, 3, 4], Operations: ['13-9=4']
Exploring Operation: 3+4=7, Resulting Numbers: [23, 7]
Generated Node #0,0,0: 12:[23, 7] Operation: 3+4=7
Exploring Operation: 3*4=12, Resulting Numbers: [23, 12]
Generated Node #0,0,1: 12:[23, 12] Operation: 3*4=12
Exploring Operation: 23-4=19, Resulting Numbers: [3, 19]
Generated Node #0,0,2: 12:[3, 19] Operation: 23-4=19
Exploring Operation: 23-3=20, Resulting Numbers: [4, 20]
Generated Node #0,0,3: 12:[4, 20] Operation: 23-3=20
Moving to Node #0,2
Current State: 12:[13, 23, 12], Operations: ['9+3=12']
Exploring Operation: 13+23=36, Resulting Numbers: [12, 36]
Generated Node #0,2,0: 12:[12, 36] Operation: 13+23=36
Exploring Operation: 23-12=11, Resulting Numbers: [13, 11]
Generated Node #0,2,1: 12:[13, 11] Operation: 23-12=11
Exploring Operation: 13-12=1, Resulting Numbers: [23, 1]
Generated Node #0,2,2: 12:[23, 1] Operation: 13-12=1
Exploring Operation: 23-13=10, Resulting Numbers: [12, 10]
Generated Node #0,2,3: 12:[12, 10] Operation: 23-13=10
Moving to Node #0,1,0
Current State: 12:[3, 1], Operations: ['23-9=14', '14-13=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[3, 1], Operations: ['23-13=10', '10-9=1']
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[10, 6], Operations: ['23-13=10', '9-3=6']
Exploring Operation: 10*6=60, Resulting Numbers: [60]
60,12 unequal: No Solution
Exploring Operation: 10+6=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,3,2
Current State: 12:[10, 3], Operations: ['23-13=10', '9/3=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,12 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,2,3
Current State: 12:[12, 10], Operations: ['9+3=12', '23-13=10']
Exploring Operation: 12*10=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 12+10=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Moving to Node #0,2,1
Current State: 12:[13, 11], Operations: ['9+3=12', '23-12=11']
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[13, 11], Operations: ['23-9=14', '14-3=11']
Exploring Operation: 13*11=143, Resulting Numbers: [143]
143,12 unequal: No Solution
Exploring Operation: 13+11=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 13-11=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Moving to Node #0,3,3
Current State: 12:[10, 12], Operations: ['23-13=10', '9+3=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Exploring Operation: 12-10=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 10*12=120, Resulting Numbers: [120]
120,12 unequal: No Solution
Moving to Node #0,1,3
Current State: 12:[14, 10], Operations: ['23-9=14', '13-3=10']
Exploring Operation: 14*10=140, Resulting Numbers: [140]
140,12 unequal: No Solution
Exploring Operation: 14+10=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 14-10=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Moving to Node #0,1,2
Current State: 12:[14, 16], Operations: ['23-9=14', '13+3=16']
Exploring Operation: 14*16=224, Resulting Numbers: [224]
224,12 unequal: No Solution
Exploring Operation: 14+16=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 16-14=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[3, 19], Operations: ['13-9=4', '23-4=19']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 3*19=57, Resulting Numbers: [57]
57,12 unequal: No Solution
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Moving to Node #0,0,3
Current State: 12:[4, 20], Operations: ['13-9=4', '23-3=20']
Exploring Operation: 4*20=80, Resulting Numbers: [80]
80,12 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Exploring Operation: 4+20=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[23, 12], Operations: ['13-9=4', '3*4=12']
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Exploring Operation: 23+12=35, Resulting Numbers: [35]
35,12 unequal: No Solution
Exploring Operation: 23*12=276, Resulting Numbers: [276]
276,12 unequal: No Solution
Moving to Node #0,2,2
Current State: 12:[23, 1], Operations: ['9+3=12', '13-12=1']
Exploring Operation: 23+1=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 23*1=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,12 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[23, 7], Operations: ['13-9=4', '3+4=7']
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,12 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,12 unequal: No Solution
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,12 unequal: No Solution
Moving to Node #0,2,0
Current State: 12:[12, 36], Operations: ['9+3=12', '13+23=36']
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,12 unequal: No Solution
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,12 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,12 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,12 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
25,
41,
61,
18
] | 95 | [
"41-25=16",
"61+18=79",
"16+79=95"
] | Current State: 95:[25, 41, 61, 18], Operations: []
Exploring Operation: 41-25=16, Resulting Numbers: [61, 18, 16]
Generated Node #2: [61, 18, 16] from Operation: 41-25=16
Current State: 95:[61, 18, 16], Operations: ['41-25=16']
Exploring Operation: 61+18=79, Resulting Numbers: [16, 79]
Generated Node #3: [16, 79] from Operation: 61+18=79
Current State: 95:[16, 79], Operations: ['41-25=16', '61+18=79']
Exploring Operation: 16+79=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 | Current State: 95:[25, 41, 61, 18], Operations: []
Exploring Operation: 41+61=102, Resulting Numbers: [25, 18, 102]
Generated Node #0,0: 95:[25, 18, 102] Operation: 41+61=102
Exploring Operation: 25+61=86, Resulting Numbers: [41, 18, 86]
Generated Node #0,1: 95:[41, 18, 86] Operation: 25+61=86
Exploring Operation: 61-41=20, Resulting Numbers: [25, 18, 20]
Generated Node #0,2: 95:[25, 18, 20] Operation: 61-41=20
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[25, 18, 20], Operations: ['61-41=20']
Exploring Operation: 25-20=5, Resulting Numbers: [18, 5]
Generated Node #0,2,0: 95:[18, 5] Operation: 25-20=5
Exploring Operation: 25-18=7, Resulting Numbers: [20, 7]
Generated Node #0,2,1: 95:[20, 7] Operation: 25-18=7
Exploring Operation: 20-18=2, Resulting Numbers: [25, 2]
Generated Node #0,2,2: 95:[25, 2] Operation: 20-18=2
Moving to Node #0,2,0
Current State: 95:[18, 5], Operations: ['61-41=20', '25-20=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,95 unequal: No Solution
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,95 unequal: No Solution
Moving to Node #0,2,1
Current State: 95:[20, 7], Operations: ['61-41=20', '25-18=7']
Exploring Operation: 20+7=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 20*7=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Moving to Node #0,2,2
Current State: 95:[25, 2], Operations: ['61-41=20', '20-18=2']
Exploring Operation: 25+2=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,95 unequal: No Solution
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,95 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
Current State: 95:[25, 18, 102], Operations: ['41+61=102']
Exploring Operation: 25-18=7, Resulting Numbers: [102, 7]
Generated Node #0,0,0: 95:[102, 7] Operation: 25-18=7
Exploring Operation: 102-25=77, Resulting Numbers: [18, 77]
Generated Node #0,0,1: 95:[18, 77] Operation: 102-25=77
Exploring Operation: 102-18=84, Resulting Numbers: [25, 84]
Generated Node #0,0,2: 95:[25, 84] Operation: 102-18=84
Moving to Node #0,0,0
Current State: 95:[102, 7], Operations: ['41+61=102', '25-18=7']
Exploring Operation: 102*7=714, Resulting Numbers: [714]
714,95 unequal: No Solution
Exploring Operation: 102+7=109, Resulting Numbers: [109]
109,95 unequal: No Solution
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Moving to Node #0
Current State: 95:[25, 41, 61, 18], Operations: []
Exploring Operation: 41+61=102, Resulting Numbers: [25, 18, 102]
Generated Node #0,0: 95:[25, 18, 102] Operation: 41+61=102
Moving to Node #0,0
Current State: 95:[25, 18, 102], Operations: ['41+61=102']
Exploring Operation: 25-18=7, Resulting Numbers: [102, 7]
Generated Node #0,0,0: 95:[102, 7] Operation: 25-18=7
Moving to Node #0,0,0
Current State: 95:[102, 7], Operations: ['41+61=102', '25-18=7']
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | sum_heuristic |
[
36,
43,
21,
95
] | 92 | [
"43-36=7",
"21/7=3",
"95-3=92"
] | Current State: 92:[36, 43, 21, 95], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [21, 95, 7]
Generated Node #2: [21, 95, 7] from Operation: 43-36=7
Current State: 92:[21, 95, 7], Operations: ['43-36=7']
Exploring Operation: 21/7=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 21/7=3
Current State: 92:[95, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[36, 43, 21, 95], Operations: []
Exploring Operation: 36-21=15, Resulting Numbers: [43, 95, 15]
Generated Node #0,0: 92:[43, 95, 15] Operation: 36-21=15
Exploring Operation: 43-36=7, Resulting Numbers: [21, 95, 7]
Generated Node #0,1: 92:[21, 95, 7] Operation: 43-36=7
Moving to Node #0,1
Current State: 92:[21, 95, 7], Operations: ['43-36=7']
Exploring Operation: 95-7=88, Resulting Numbers: [21, 88]
Generated Node #0,1,0: 92:[21, 88] Operation: 95-7=88
Exploring Operation: 21/7=3, Resulting Numbers: [95, 3]
Generated Node #0,1,1: 92:[95, 3] Operation: 21/7=3
Moving to Node #0,0
Current State: 92:[43, 95, 15], Operations: ['36-21=15']
Exploring Operation: 95-43=52, Resulting Numbers: [15, 52]
Generated Node #0,0,0: 92:[15, 52] Operation: 95-43=52
Exploring Operation: 43-15=28, Resulting Numbers: [95, 28]
Generated Node #0,0,1: 92:[95, 28] Operation: 43-15=28
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 92:[95, 28], Operations: ['36-21=15', '43-15=28']
Exploring Operation: 95-28=67, Resulting Numbers: [67]
67,92 unequal: No Solution
Exploring Operation: 95+28=123, Resulting Numbers: [123]
123,92 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 #0,0,0
Current State: 92:[15, 52], Operations: ['36-21=15', '95-43=52']
Exploring Operation: 52-15=37, Resulting Numbers: [37]
37,92 unequal: No Solution
Exploring Operation: 15+52=67, Resulting Numbers: [67]
67,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,1
Current State: 92:[95, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
Moving to Node #0
Current State: 92:[36, 43, 21, 95], Operations: []
Exploring Operation: 43-36=7, Resulting Numbers: [21, 95, 7]
Generated Node #0,1: 92:[21, 95, 7] Operation: 43-36=7
Moving to Node #0,1
Current State: 92:[21, 95, 7], Operations: ['43-36=7']
Exploring Operation: 21/7=3, Resulting Numbers: [95, 3]
Generated Node #0,1,1: 92:[95, 3] Operation: 21/7=3
Moving to Node #0,1,1
Current State: 92:[95, 3], Operations: ['43-36=7', '21/7=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 0.986979 | hs_2 | mult_heuristic |
[
73,
44,
3,
76
] | 35 | [
"73-44=29",
"76+29=105",
"105/3=35"
] | Current State: 35:[73, 44, 3, 76], Operations: []
Exploring Operation: 73-44=29, Resulting Numbers: [3, 76, 29]
Generated Node #2: [3, 76, 29] from Operation: 73-44=29
Current State: 35:[3, 76, 29], Operations: ['73-44=29']
Exploring Operation: 76+29=105, Resulting Numbers: [3, 105]
Generated Node #3: [3, 105] from Operation: 76+29=105
Current State: 35:[3, 105], Operations: ['73-44=29', '76+29=105']
Exploring Operation: 105/3=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[73, 44, 3, 76], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [44, 3, 3]
Generated Node #0,0: 35:[44, 3, 3] Operation: 76-73=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[44, 3, 3], Operations: ['76-73=3']
Exploring Operation: 44-3=41, Resulting Numbers: [3, 41]
Generated Node #0,0,0: 35:[3, 41] Operation: 44-3=41
Moving to Node #0,0,0
Current State: 35:[3, 41], Operations: ['76-73=3', '44-3=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
92,
64,
81,
56
] | 72 | [
"92*64=5888",
"5888-56=5832",
"5832/81=72"
] | Current State: 72:[92, 64, 81, 56], Operations: []
Exploring Operation: 92*64=5888, Resulting Numbers: [81, 56, 5888]
Generated Node #2: [81, 56, 5888] from Operation: 92*64=5888
Current State: 72:[81, 56, 5888], Operations: ['92*64=5888']
Exploring Operation: 5888-56=5832, Resulting Numbers: [81, 5832]
Generated Node #3: [81, 5832] from Operation: 5888-56=5832
Current State: 72:[81, 5832], Operations: ['92*64=5888', '5888-56=5832']
Exploring Operation: 5832/81=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[92, 64, 81, 56], Operations: []
Exploring Operation: 92-64=28, Resulting Numbers: [81, 56, 28]
Generated Node #0,0: 72:[81, 56, 28] Operation: 92-64=28
Exploring Operation: 92-56=36, Resulting Numbers: [64, 81, 36]
Generated Node #0,1: 72:[64, 81, 36] Operation: 92-56=36
Exploring Operation: 64-56=8, Resulting Numbers: [92, 81, 8]
Generated Node #0,2: 72:[92, 81, 8] Operation: 64-56=8
Exploring Operation: 92-81=11, Resulting Numbers: [64, 56, 11]
Generated Node #0,3: 72:[64, 56, 11] Operation: 92-81=11
Moving to Node #0,1
Current State: 72:[64, 81, 36], Operations: ['92-56=36']
Exploring Operation: 81-36=45, Resulting Numbers: [64, 45]
Generated Node #0,1,0: 72:[64, 45] Operation: 81-36=45
Exploring Operation: 64+36=100, Resulting Numbers: [81, 100]
Generated Node #0,1,1: 72:[81, 100] Operation: 64+36=100
Exploring Operation: 81-64=17, Resulting Numbers: [36, 17]
Generated Node #0,1,2: 72:[36, 17] Operation: 81-64=17
Exploring Operation: 64-36=28, Resulting Numbers: [81, 28]
Generated Node #0,1,3: 72:[81, 28] Operation: 64-36=28
Moving to Node #0,3
Current State: 72:[64, 56, 11], Operations: ['92-81=11']
Exploring Operation: 64+11=75, Resulting Numbers: [56, 75]
Generated Node #0,3,0: 72:[56, 75] Operation: 64+11=75
Exploring Operation: 56-11=45, Resulting Numbers: [64, 45]
Generated Node #0,3,1: 72:[64, 45] Operation: 56-11=45
Exploring Operation: 64-56=8, Resulting Numbers: [11, 8]
Generated Node #0,3,2: 72:[11, 8] Operation: 64-56=8
Exploring Operation: 56+11=67, Resulting Numbers: [64, 67]
Generated Node #0,3,3: 72:[64, 67] Operation: 56+11=67
Moving to Node #0,2
Current State: 72:[92, 81, 8], Operations: ['64-56=8']
Exploring Operation: 92-81=11, Resulting Numbers: [8, 11]
Generated Node #0,2,0: 72:[8, 11] Operation: 92-81=11
Exploring Operation: 92-8=84, Resulting Numbers: [81, 84]
Generated Node #0,2,1: 72:[81, 84] Operation: 92-8=84
Exploring Operation: 81-8=73, Resulting Numbers: [92, 73]
Generated Node #0,2,2: 72:[92, 73] Operation: 81-8=73
Exploring Operation: 92+8=100, Resulting Numbers: [81, 100]
Generated Node #0,2,3: 72:[81, 100] Operation: 92+8=100
Moving to Node #0,0
Current State: 72:[81, 56, 28], Operations: ['92-64=28']
Exploring Operation: 56-28=28, Resulting Numbers: [81, 28]
Generated Node #0,0,0: 72:[81, 28] Operation: 56-28=28
Exploring Operation: 81-56=25, Resulting Numbers: [28, 25]
Generated Node #0,0,1: 72:[28, 25] Operation: 81-56=25
Exploring Operation: 56+28=84, Resulting Numbers: [81, 84]
Generated Node #0,0,2: 72:[81, 84] Operation: 56+28=84
Exploring Operation: 56/28=2, Resulting Numbers: [81, 2]
Generated Node #0,0,3: 72:[81, 2] Operation: 56/28=2
Moving to Node #0,1,2
Current State: 72:[36, 17], Operations: ['92-56=36', '81-64=17']
Exploring Operation: 36*17=612, Resulting Numbers: [612]
612,72 unequal: No Solution
Exploring Operation: 36+17=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[11, 8], Operations: ['92-81=11', '64-56=8']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 11+8=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 11*8=88, Resulting Numbers: [88]
88,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[8, 11], Operations: ['64-56=8', '92-81=11']
Exploring Operation: 11-8=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 8+11=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[28, 25], Operations: ['92-64=28', '81-56=25']
Exploring Operation: 28-25=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 28+25=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 28*25=700, Resulting Numbers: [700]
700,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[81, 2], Operations: ['92-64=28', '56/28=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[64, 67], Operations: ['92-81=11', '56+11=67']
Exploring Operation: 67-64=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 64*67=4288, Resulting Numbers: [4288]
4288,72 unequal: No Solution
Exploring Operation: 64+67=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[81, 28], Operations: ['92-56=36', '64-36=28']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 81*28=2268, Resulting Numbers: [2268]
2268,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[81, 28], Operations: ['92-64=28', '56-28=28']
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 81*28=2268, Resulting Numbers: [2268]
2268,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[64, 45], Operations: ['92-81=11', '56-11=45']
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,72 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[64, 45], Operations: ['92-56=36', '81-36=45']
Exploring Operation: 64*45=2880, Resulting Numbers: [2880]
2880,72 unequal: No Solution
Exploring Operation: 64+45=109, Resulting Numbers: [109]
109,72 unequal: No Solution
Exploring Operation: 64-45=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[56, 75], Operations: ['92-81=11', '64+11=75']
Exploring Operation: 75-56=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 56+75=131, Resulting Numbers: [131]
131,72 unequal: No Solution
Exploring Operation: 56*75=4200, Resulting Numbers: [4200]
4200,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[92, 73], Operations: ['64-56=8', '81-8=73']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 92+73=165, Resulting Numbers: [165]
165,72 unequal: No Solution
Exploring Operation: 92*73=6716, Resulting Numbers: [6716]
6716,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[81, 84], Operations: ['64-56=8', '92-8=84']
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,72 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,72 unequal: No Solution
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[81, 84], Operations: ['92-64=28', '56+28=84']
Exploring Operation: 84-81=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Exploring Operation: 81+84=165, Resulting Numbers: [165]
165,72 unequal: No Solution
Exploring Operation: 81*84=6804, Resulting Numbers: [6804]
6804,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[81, 100], Operations: ['64-56=8', '92+8=100']
Exploring Operation: 81+100=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 81*100=8100, Resulting Numbers: [8100]
8100,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[81, 100], Operations: ['92-56=36', '64+36=100']
Exploring Operation: 81+100=181, Resulting Numbers: [181]
181,72 unequal: No Solution
Exploring Operation: 100-81=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Exploring Operation: 81*100=8100, Resulting Numbers: [8100]
8100,72 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
98,
51,
21,
70
] | 59 | [
"98+70=168",
"168/21=8",
"51+8=59"
] | Current State: 59:[98, 51, 21, 70], Operations: []
Exploring Operation: 98+70=168, Resulting Numbers: [51, 21, 168]
Generated Node #2: [51, 21, 168] from Operation: 98+70=168
Current State: 59:[51, 21, 168], Operations: ['98+70=168']
Exploring Operation: 168/21=8, Resulting Numbers: [51, 8]
Generated Node #3: [51, 8] from Operation: 168/21=8
Current State: 59:[51, 8], Operations: ['98+70=168', '168/21=8']
Exploring Operation: 51+8=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[98, 51, 21, 70], Operations: []
Exploring Operation: 70-21=49, Resulting Numbers: [98, 51, 49]
Generated Node #0,0: 59:[98, 51, 49] Operation: 70-21=49
Exploring Operation: 98-51=47, Resulting Numbers: [21, 70, 47]
Generated Node #0,1: 59:[21, 70, 47] Operation: 98-51=47
Exploring Operation: 51+21=72, Resulting Numbers: [98, 70, 72]
Generated Node #0,2: 59:[98, 70, 72] Operation: 51+21=72
Exploring Operation: 98-21=77, Resulting Numbers: [51, 70, 77]
Generated Node #0,3: 59:[51, 70, 77] Operation: 98-21=77
Start Sub Search at level 1: Moving to Node #0,3
Current State: 59:[51, 70, 77], Operations: ['98-21=77']
Exploring Operation: 70-51=19, Resulting Numbers: [77, 19]
Generated Node #0,3,0: 59:[77, 19] Operation: 70-51=19
Exploring Operation: 77-51=26, Resulting Numbers: [70, 26]
Generated Node #0,3,1: 59:[70, 26] Operation: 77-51=26
Exploring Operation: 51+70=121, Resulting Numbers: [77, 121]
Generated Node #0,3,2: 59:[77, 121] Operation: 51+70=121
Exploring Operation: 77-70=7, Resulting Numbers: [51, 7]
Generated Node #0,3,3: 59:[51, 7] Operation: 77-70=7
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 59:[70, 26], Operations: ['98-21=77', '77-51=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 59:[77, 19], Operations: ['98-21=77', '70-51=19']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,59 unequal: No Solution
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 59:[51, 7], Operations: ['98-21=77', '77-70=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,59 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 51*7=357, Resulting Numbers: [357]
357,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 59:[77, 121], Operations: ['98-21=77', '51+70=121']
Exploring Operation: 77+121=198, Resulting Numbers: [198]
198,59 unequal: No Solution
Exploring Operation: 77*121=9317, Resulting Numbers: [9317]
9317,59 unequal: No Solution
Exploring Operation: 121-77=44, Resulting Numbers: [44]
44,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[98, 51, 49], Operations: ['70-21=49']
Exploring Operation: 98-51=47, Resulting Numbers: [49, 47]
Generated Node #0,0,0: 59:[49, 47] Operation: 98-51=47
Exploring Operation: 98/49=2, Resulting Numbers: [51, 2]
Generated Node #0,0,1: 59:[51, 2] Operation: 98/49=2
Exploring Operation: 98-49=49, Resulting Numbers: [51, 49]
Generated Node #0,0,2: 59:[51, 49] Operation: 98-49=49
Exploring Operation: 51+49=100, Resulting Numbers: [98, 100]
Generated Node #0,0,3: 59:[98, 100] Operation: 51+49=100
Moving to Node #0,0,2
Current State: 59:[51, 49], Operations: ['70-21=49', '98-49=49']
Exploring Operation: 51-49=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 51*49=2499, Resulting Numbers: [2499]
2499,59 unequal: No Solution
Exploring Operation: 51+49=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,0,0
Current State: 59:[49, 47], Operations: ['70-21=49', '98-51=47']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 49*47=2303, Resulting Numbers: [2303]
2303,59 unequal: No Solution
Exploring Operation: 49+47=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Moving to Node #0,0,1
Current State: 59:[51, 2], Operations: ['70-21=49', '98/49=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,59 unequal: No Solution
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,59 unequal: No Solution
Exploring Operation: 51*2=102, Resulting Numbers: [102]
102,59 unequal: No Solution
Moving to Node #0,0,3
Current State: 59:[98, 100], Operations: ['70-21=49', '51+49=100']
Exploring Operation: 100-98=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 98+100=198, Resulting Numbers: [198]
198,59 unequal: No Solution
Exploring Operation: 98*100=9800, Resulting Numbers: [9800]
9800,59 unequal: No Solution
No 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: 59:[21, 70, 47], Operations: ['98-51=47']
Exploring Operation: 70-21=49, Resulting Numbers: [47, 49]
Generated Node #0,1,0: 59:[47, 49] Operation: 70-21=49
Exploring Operation: 21+47=68, Resulting Numbers: [70, 68]
Generated Node #0,1,1: 59:[70, 68] Operation: 21+47=68
Exploring Operation: 21+70=91, Resulting Numbers: [47, 91]
Generated Node #0,1,2: 59:[47, 91] Operation: 21+70=91
Exploring Operation: 47-21=26, Resulting Numbers: [70, 26]
Generated Node #0,1,3: 59:[70, 26] Operation: 47-21=26
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 59:[70, 68], Operations: ['98-51=47', '21+47=68']
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 70+68=138, Resulting Numbers: [138]
138,59 unequal: No Solution
Exploring Operation: 70*68=4760, Resulting Numbers: [4760]
4760,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 59:[47, 49], Operations: ['98-51=47', '70-21=49']
Exploring Operation: 49-47=2, Resulting Numbers: [2]
2,59 unequal: No Solution
Exploring Operation: 47+49=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 47*49=2303, Resulting Numbers: [2303]
2303,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 59:[47, 91], Operations: ['98-51=47', '21+70=91']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 47+91=138, Resulting Numbers: [138]
138,59 unequal: No Solution
Exploring Operation: 47*91=4277, Resulting Numbers: [4277]
4277,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 59:[70, 26], Operations: ['98-51=47', '47-21=26']
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,59 unequal: No Solution
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 59:[98, 70, 72], Operations: ['51+21=72']
Exploring Operation: 72-70=2, Resulting Numbers: [98, 2]
Generated Node #0,2,0: 59:[98, 2] Operation: 72-70=2
Exploring Operation: 98-70=28, Resulting Numbers: [72, 28]
Generated Node #0,2,1: 59:[72, 28] Operation: 98-70=28
Exploring Operation: 98-72=26, Resulting Numbers: [70, 26]
Generated Node #0,2,2: 59:[70, 26] Operation: 98-72=26
Exploring Operation: 98+70=168, Resulting Numbers: [72, 168]
Generated Node #0,2,3: 59:[72, 168] Operation: 98+70=168
Moving to Node #0,2,1
Current State: 59:[72, 28], Operations: ['51+21=72', '98-70=28']
Exploring Operation: 72*28=2016, Resulting Numbers: [2016]
2016,59 unequal: No Solution
Exploring Operation: 72-28=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,2,2
Current State: 59:[70, 26], Operations: ['51+21=72', '98-72=26']
Exploring Operation: 70+26=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 70-26=44, Resulting Numbers: [44]
44,59 unequal: No Solution
Exploring Operation: 70*26=1820, Resulting Numbers: [1820]
1820,59 unequal: No Solution
Moving to Node #0,2,0
Current State: 59:[98, 2], Operations: ['51+21=72', '72-70=2']
Exploring Operation: 98/2=49, Resulting Numbers: [49]
49,59 unequal: No Solution
Exploring Operation: 98-2=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 98*2=196, Resulting Numbers: [196]
196,59 unequal: No Solution
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,59 unequal: No Solution
Moving to Node #0,2,3
Current State: 59:[72, 168], Operations: ['51+21=72', '98+70=168']
Exploring Operation: 168-72=96, Resulting Numbers: [96]
96,59 unequal: No Solution
Exploring Operation: 72+168=240, Resulting Numbers: [240]
240,59 unequal: No Solution
Exploring Operation: 72*168=12096, Resulting Numbers: [12096]
12096,59 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 |
[
4,
1,
6,
10
] | 63 | [
"4-1=3",
"6*10=60",
"3+60=63"
] | Current State: 63:[4, 1, 6, 10], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [6, 10, 3]
Generated Node #2: [6, 10, 3] from Operation: 4-1=3
Current State: 63:[6, 10, 3], Operations: ['4-1=3']
Exploring Operation: 6*10=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 6*10=60
Current State: 63:[3, 60], Operations: ['4-1=3', '6*10=60']
Exploring Operation: 3+60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[4, 1, 6, 10], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [6, 10, 3]
Generated Node #0,0: 63:[6, 10, 3] Operation: 4-1=3
Exploring Operation: 4*1=4, Resulting Numbers: [6, 10, 4]
Generated Node #0,1: 63:[6, 10, 4] Operation: 4*1=4
Exploring Operation: 1+6=7, Resulting Numbers: [4, 10, 7]
Generated Node #0,2: 63:[4, 10, 7] Operation: 1+6=7
Exploring Operation: 10-1=9, Resulting Numbers: [4, 6, 9]
Generated Node #0,3: 63:[4, 6, 9] Operation: 10-1=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[6, 10, 3], Operations: ['4-1=3']
Exploring Operation: 6-3=3, Resulting Numbers: [10, 3]
Generated Node #0,0,0: 63:[10, 3] Operation: 6-3=3
Exploring Operation: 6+3=9, Resulting Numbers: [10, 9]
Generated Node #0,0,1: 63:[10, 9] Operation: 6+3=9
Exploring Operation: 10-6=4, Resulting Numbers: [3, 4]
Generated Node #0,0,2: 63:[3, 4] Operation: 10-6=4
Exploring Operation: 10-3=7, Resulting Numbers: [6, 7]
Generated Node #0,0,3: 63:[6, 7] Operation: 10-3=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[10, 3], Operations: ['4-1=3', '6-3=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[10, 9], Operations: ['4-1=3', '6+3=9']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 10+9=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 63:[3, 4], Operations: ['4-1=3', '10-6=4']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 3+4=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 3*4=12, Resulting Numbers: [12]
12,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 63:[6, 7], Operations: ['4-1=3', '10-3=7']
Exploring Operation: 6*7=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 63:[4, 10, 7], Operations: ['1+6=7']
Exploring Operation: 4+7=11, Resulting Numbers: [10, 11]
Generated Node #0,2,0: 63:[10, 11] Operation: 4+7=11
Exploring Operation: 10-4=6, Resulting Numbers: [7, 6]
Generated Node #0,2,1: 63:[7, 6] Operation: 10-4=6
Exploring Operation: 10-7=3, Resulting Numbers: [4, 3]
Generated Node #0,2,2: 63:[4, 3] Operation: 10-7=3
Exploring Operation: 7-4=3, Resulting Numbers: [10, 3]
Generated Node #0,2,3: 63:[10, 3] Operation: 7-4=3
Moving to Node #0,2,1
Current State: 63:[7, 6], Operations: ['1+6=7', '10-4=6']
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,63 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Moving to Node #0,2,3
Current State: 63:[10, 3], Operations: ['1+6=7', '7-4=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,63 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,63 unequal: No Solution
Moving to Node #0,2,2
Current State: 63:[4, 3], Operations: ['1+6=7', '10-7=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Moving to Node #0,2,0
Current State: 63:[10, 11], Operations: ['1+6=7', '4+7=11']
Exploring Operation: 10+11=21, Resulting Numbers: [21]
21,63 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 10*11=110, Resulting Numbers: [110]
110,63 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 63:[4, 6, 9], Operations: ['10-1=9']
Exploring Operation: 4*6=24, Resulting Numbers: [9, 24]
Generated Node #0,3,0: 63:[9, 24] Operation: 4*6=24
Exploring Operation: 4+6=10, Resulting Numbers: [9, 10]
Generated Node #0,3,1: 63:[9, 10] Operation: 4+6=10
Exploring Operation: 9-6=3, Resulting Numbers: [4, 3]
Generated Node #0,3,2: 63:[4, 3] Operation: 9-6=3
Exploring Operation: 6-4=2, Resulting Numbers: [9, 2]
Generated Node #0,3,3: 63:[9, 2] Operation: 6-4=2
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 63:[9, 10], Operations: ['10-1=9', '4+6=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,63 unequal: No Solution
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 63:[4, 3], Operations: ['10-1=9', '9-6=3']
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 63:[9, 2], Operations: ['10-1=9', '6-4=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 63:[9, 24], Operations: ['10-1=9', '4*6=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,63 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,63 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[6, 10, 4], Operations: ['4*1=4']
Exploring Operation: 6-4=2, Resulting Numbers: [10, 2]
Generated Node #0,1,0: 63:[10, 2] Operation: 6-4=2
Exploring Operation: 10-6=4, Resulting Numbers: [4, 4]
Generated Node #0,1,1: 63:[4, 4] Operation: 10-6=4
Exploring Operation: 6+4=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 63:[10, 10] Operation: 6+4=10
Exploring Operation: 10-4=6, Resulting Numbers: [6, 6]
Generated Node #0,1,3: 63:[6, 6] Operation: 10-4=6
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[10, 2], Operations: ['4*1=4', '6-4=2']
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,63 unequal: No Solution
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[4, 4], Operations: ['4*1=4', '10-6=4']
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,63 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,63 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 63:[10, 10], Operations: ['4*1=4', '6+4=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,63 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,63 unequal: No Solution
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 63:[6, 6], Operations: ['4*1=4', '10-4=6']
Exploring Operation: 6/6=1, Resulting Numbers: [1]
1,63 unequal: No Solution
Exploring Operation: 6*6=36, Resulting Numbers: [36]
36,63 unequal: No Solution
Exploring Operation: 6+6=12, Resulting Numbers: [12]
12,63 unequal: No Solution
Exploring Operation: 6-6=0, Resulting Numbers: [0]
0,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
71,
43,
19,
80
] | 86 | [
"71+43=114",
"114/19=6",
"80+6=86"
] | Current State: 86:[71, 43, 19, 80], Operations: []
Exploring Operation: 71+43=114, Resulting Numbers: [19, 80, 114]
Generated Node #2: [19, 80, 114] from Operation: 71+43=114
Current State: 86:[19, 80, 114], Operations: ['71+43=114']
Exploring Operation: 114/19=6, Resulting Numbers: [80, 6]
Generated Node #3: [80, 6] from Operation: 114/19=6
Current State: 86:[80, 6], Operations: ['71+43=114', '114/19=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[71, 43, 19, 80], Operations: []
Exploring Operation: 80-71=9, Resulting Numbers: [43, 19, 9]
Generated Node #0,0: 86:[43, 19, 9] Operation: 80-71=9
Exploring Operation: 19+80=99, Resulting Numbers: [71, 43, 99]
Generated Node #0,1: 86:[71, 43, 99] Operation: 19+80=99
Exploring Operation: 80-19=61, Resulting Numbers: [71, 43, 61]
Generated Node #0,2: 86:[71, 43, 61] Operation: 80-19=61
Exploring Operation: 71-19=52, Resulting Numbers: [43, 80, 52]
Generated Node #0,3: 86:[43, 80, 52] Operation: 71-19=52
Exploring Operation: 71+19=90, Resulting Numbers: [43, 80, 90]
Generated Node #0,4: 86:[43, 80, 90] Operation: 71+19=90
Start Sub Search at level 1: Moving to Node #0,4
Current State: 86:[43, 80, 90], Operations: ['71+19=90']
Exploring Operation: 80-43=37, Resulting Numbers: [90, 37]
Generated Node #0,4,0: 86:[90, 37] Operation: 80-43=37
Exploring Operation: 90-43=47, Resulting Numbers: [80, 47]
Generated Node #0,4,1: 86:[80, 47] Operation: 90-43=47
Exploring Operation: 43+80=123, Resulting Numbers: [90, 123]
Generated Node #0,4,2: 86:[90, 123] Operation: 43+80=123
Exploring Operation: 43+90=133, Resulting Numbers: [80, 133]
Generated Node #0,4,3: 86:[80, 133] Operation: 43+90=133
Exploring Operation: 90-80=10, Resulting Numbers: [43, 10]
Generated Node #0,4,4: 86:[43, 10] Operation: 90-80=10
Moving to Node #0,4,4
Current State: 86:[43, 10], Operations: ['71+19=90', '90-80=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,86 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[80, 47], Operations: ['71+19=90', '90-43=47']
Exploring Operation: 80-47=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 80+47=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 80*47=3760, Resulting Numbers: [3760]
3760,86 unequal: No Solution
Moving to Node #0,4,0
Current State: 86:[90, 37], Operations: ['71+19=90', '80-43=37']
Exploring Operation: 90+37=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 90*37=3330, Resulting Numbers: [3330]
3330,86 unequal: No Solution
Exploring Operation: 90-37=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Moving to Node #0,4,2
Current State: 86:[90, 123], Operations: ['71+19=90', '43+80=123']
Exploring Operation: 90*123=11070, Resulting Numbers: [11070]
11070,86 unequal: No Solution
Exploring Operation: 123-90=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 90+123=213, Resulting Numbers: [213]
213,86 unequal: No Solution
Moving to Node #0,4,3
Current State: 86:[80, 133], Operations: ['71+19=90', '43+90=133']
Exploring Operation: 80+133=213, Resulting Numbers: [213]
213,86 unequal: No Solution
Exploring Operation: 80*133=10640, Resulting Numbers: [10640]
10640,86 unequal: No Solution
Exploring Operation: 133-80=53, Resulting Numbers: [53]
53,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 86:[43, 80, 52], Operations: ['71-19=52']
Exploring Operation: 80-43=37, Resulting Numbers: [52, 37]
Generated Node #0,3,0: 86:[52, 37] Operation: 80-43=37
Exploring Operation: 80-52=28, Resulting Numbers: [43, 28]
Generated Node #0,3,1: 86:[43, 28] Operation: 80-52=28
Exploring Operation: 43+80=123, Resulting Numbers: [52, 123]
Generated Node #0,3,2: 86:[52, 123] Operation: 43+80=123
Exploring Operation: 43+52=95, Resulting Numbers: [80, 95]
Generated Node #0,3,3: 86:[80, 95] Operation: 43+52=95
Exploring Operation: 52-43=9, Resulting Numbers: [80, 9]
Generated Node #0,3,4: 86:[80, 9] Operation: 52-43=9
Moving to Node #0,3,4
Current State: 86:[80, 9], Operations: ['71-19=52', '52-43=9']
Exploring Operation: 80-9=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 80*9=720, Resulting Numbers: [720]
720,86 unequal: No Solution
Exploring Operation: 80+9=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[43, 28], Operations: ['71-19=52', '80-52=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[52, 37], Operations: ['71-19=52', '80-43=37']
Exploring Operation: 52*37=1924, Resulting Numbers: [1924]
1924,86 unequal: No Solution
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Moving to Node #0,3,3
Current State: 86:[80, 95], Operations: ['71-19=52', '43+52=95']
Exploring Operation: 80+95=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 80*95=7600, Resulting Numbers: [7600]
7600,86 unequal: No Solution
Exploring Operation: 95-80=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Moving to Node #0,3,2
Current State: 86:[52, 123], Operations: ['71-19=52', '43+80=123']
Exploring Operation: 52*123=6396, Resulting Numbers: [6396]
6396,86 unequal: No Solution
Exploring Operation: 52+123=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 123-52=71, Resulting Numbers: [71]
71,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[43, 19, 9], Operations: ['80-71=9']
Exploring Operation: 19-9=10, Resulting Numbers: [43, 10]
Generated Node #0,0,0: 86:[43, 10] Operation: 19-9=10
Exploring Operation: 19+9=28, Resulting Numbers: [43, 28]
Generated Node #0,0,1: 86:[43, 28] Operation: 19+9=28
Exploring Operation: 43+19=62, Resulting Numbers: [9, 62]
Generated Node #0,0,2: 86:[9, 62] Operation: 43+19=62
Exploring Operation: 43-19=24, Resulting Numbers: [9, 24]
Generated Node #0,0,3: 86:[9, 24] Operation: 43-19=24
Exploring Operation: 43+9=52, Resulting Numbers: [19, 52]
Generated Node #0,0,4: 86:[19, 52] Operation: 43+9=52
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 86:[43, 10], Operations: ['80-71=9', '19-9=10']
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,86 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 86:[43, 28], Operations: ['80-71=9', '19+9=28']
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,86 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 86:[9, 62], Operations: ['80-71=9', '43+19=62']
Exploring Operation: 62-9=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 9*62=558, Resulting Numbers: [558]
558,86 unequal: No Solution
Exploring Operation: 9+62=71, Resulting Numbers: [71]
71,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 86:[9, 24], Operations: ['80-71=9', '43-19=24']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,86 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 86:[19, 52], Operations: ['80-71=9', '43+9=52']
Exploring Operation: 19*52=988, Resulting Numbers: [988]
988,86 unequal: No Solution
Exploring Operation: 19+52=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 52-19=33, Resulting Numbers: [33]
33,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[71, 43, 99], Operations: ['19+80=99']
Exploring Operation: 71+43=114, Resulting Numbers: [99, 114]
Generated Node #0,1,0: 86:[99, 114] Operation: 71+43=114
Exploring Operation: 43+99=142, Resulting Numbers: [71, 142]
Generated Node #0,1,1: 86:[71, 142] Operation: 43+99=142
Exploring Operation: 99-71=28, Resulting Numbers: [43, 28]
Generated Node #0,1,2: 86:[43, 28] Operation: 99-71=28
Exploring Operation: 99-43=56, Resulting Numbers: [71, 56]
Generated Node #0,1,3: 86:[71, 56] Operation: 99-43=56
Exploring Operation: 71-43=28, Resulting Numbers: [99, 28]
Generated Node #0,1,4: 86:[99, 28] Operation: 71-43=28
Moving to Node #0,1,2
Current State: 86:[43, 28], Operations: ['19+80=99', '99-71=28']
Exploring Operation: 43-28=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 43*28=1204, Resulting Numbers: [1204]
1204,86 unequal: No Solution
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[99, 28], Operations: ['19+80=99', '71-43=28']
Exploring Operation: 99-28=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 99*28=2772, Resulting Numbers: [2772]
2772,86 unequal: No Solution
Exploring Operation: 99+28=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[71, 56], Operations: ['19+80=99', '99-43=56']
Exploring Operation: 71+56=127, Resulting Numbers: [127]
127,86 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 71*56=3976, Resulting Numbers: [3976]
3976,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[99, 114], Operations: ['19+80=99', '71+43=114']
Exploring Operation: 114-99=15, Resulting Numbers: [15]
15,86 unequal: No Solution
Exploring Operation: 99+114=213, Resulting Numbers: [213]
213,86 unequal: No Solution
Exploring Operation: 99*114=11286, Resulting Numbers: [11286]
11286,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[71, 142], Operations: ['19+80=99', '43+99=142']
Exploring Operation: 71+142=213, Resulting Numbers: [213]
213,86 unequal: No Solution
Exploring Operation: 142-71=71, Resulting Numbers: [71]
71,86 unequal: No Solution
Exploring Operation: 142/71=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 71*142=10082, Resulting Numbers: [10082]
10082,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[71, 43, 61], Operations: ['80-19=61']
Exploring Operation: 71-43=28, Resulting Numbers: [61, 28]
Generated Node #0,2,0: 86:[61, 28] Operation: 71-43=28
Exploring Operation: 71-61=10, Resulting Numbers: [43, 10]
Generated Node #0,2,1: 86:[43, 10] Operation: 71-61=10
Exploring Operation: 43+61=104, Resulting Numbers: [71, 104]
Generated Node #0,2,2: 86:[71, 104] Operation: 43+61=104
Exploring Operation: 71+43=114, Resulting Numbers: [61, 114]
Generated Node #0,2,3: 86:[61, 114] Operation: 71+43=114
Exploring Operation: 61-43=18, Resulting Numbers: [71, 18]
Generated Node #0,2,4: 86:[71, 18] Operation: 61-43=18
Moving to Node #0,2,1
Current State: 86:[43, 10], Operations: ['80-19=61', '71-61=10']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 43+10=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 43*10=430, Resulting Numbers: [430]
430,86 unequal: No Solution
Moving to Node #0,2,4
Current State: 86:[71, 18], Operations: ['80-19=61', '61-43=18']
Exploring Operation: 71*18=1278, Resulting Numbers: [1278]
1278,86 unequal: No Solution
Exploring Operation: 71+18=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Exploring Operation: 71-18=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[61, 28], Operations: ['80-19=61', '71-43=28']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Exploring Operation: 61*28=1708, Resulting Numbers: [1708]
1708,86 unequal: No Solution
Exploring Operation: 61+28=89, Resulting Numbers: [89]
89,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[71, 104], Operations: ['80-19=61', '43+61=104']
Exploring Operation: 71*104=7384, Resulting Numbers: [7384]
7384,86 unequal: No Solution
Exploring Operation: 71+104=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 104-71=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[61, 114], Operations: ['80-19=61', '71+43=114']
Exploring Operation: 61+114=175, Resulting Numbers: [175]
175,86 unequal: No Solution
Exploring Operation: 114-61=53, Resulting Numbers: [53]
53,86 unequal: No Solution
Exploring Operation: 61*114=6954, Resulting Numbers: [6954]
6954,86 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 |
[
45,
10,
34,
58
] | 96 | [
"58-45=13",
"10*13=130",
"130-34=96"
] | Current State: 96:[45, 10, 34, 58], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [10, 34, 13]
Generated Node #2: [10, 34, 13] from Operation: 58-45=13
Current State: 96:[10, 34, 13], Operations: ['58-45=13']
Exploring Operation: 10*13=130, Resulting Numbers: [34, 130]
Generated Node #3: [34, 130] from Operation: 10*13=130
Current State: 96:[34, 130], Operations: ['58-45=13', '10*13=130']
Exploring Operation: 130-34=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[45, 10, 34, 58], Operations: []
Exploring Operation: 58-45=13, Resulting Numbers: [10, 34, 13]
Generated Node #0,0: 96:[10, 34, 13] Operation: 58-45=13
Exploring Operation: 34+58=92, Resulting Numbers: [45, 10, 92]
Generated Node #0,1: 96:[45, 10, 92] Operation: 34+58=92
Exploring Operation: 58-10=48, Resulting Numbers: [45, 34, 48]
Generated Node #0,2: 96:[45, 34, 48] Operation: 58-10=48
Exploring Operation: 58-34=24, Resulting Numbers: [45, 10, 24]
Generated Node #0,3: 96:[45, 10, 24] Operation: 58-34=24
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[10, 34, 13], Operations: ['58-45=13']
Exploring Operation: 34+13=47, Resulting Numbers: [10, 47]
Generated Node #0,0,0: 96:[10, 47] Operation: 34+13=47
Exploring Operation: 13-10=3, Resulting Numbers: [34, 3]
Generated Node #0,0,1: 96:[34, 3] Operation: 13-10=3
Exploring Operation: 34-10=24, Resulting Numbers: [13, 24]
Generated Node #0,0,2: 96:[13, 24] Operation: 34-10=24
Exploring Operation: 10+13=23, Resulting Numbers: [34, 23]
Generated Node #0,0,3: 96:[34, 23] Operation: 10+13=23
Moving to Node #0,0,2
Current State: 96:[13, 24], Operations: ['58-45=13', '34-10=24']
Exploring Operation: 13*24=312, Resulting Numbers: [312]
312,96 unequal: No Solution
Exploring Operation: 13+24=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 24-13=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Moving to Node #0,0,1
Current State: 96:[34, 3], Operations: ['58-45=13', '13-10=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,96 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,96 unequal: No Solution
Moving to Node #0,0,3
Current State: 96:[34, 23], Operations: ['58-45=13', '10+13=23']
Exploring Operation: 34+23=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 34*23=782, Resulting Numbers: [782]
782,96 unequal: No Solution
Moving to Node #0,0,0
Current State: 96:[10, 47], Operations: ['58-45=13', '34+13=47']
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 96:[45, 34, 48], Operations: ['58-10=48']
Exploring Operation: 48-34=14, Resulting Numbers: [45, 14]
Generated Node #0,2,0: 96:[45, 14] Operation: 48-34=14
Exploring Operation: 45+48=93, Resulting Numbers: [34, 93]
Generated Node #0,2,1: 96:[34, 93] Operation: 45+48=93
Exploring Operation: 48-45=3, Resulting Numbers: [34, 3]
Generated Node #0,2,2: 96:[34, 3] Operation: 48-45=3
Exploring Operation: 45-34=11, Resulting Numbers: [48, 11]
Generated Node #0,2,3: 96:[48, 11] Operation: 45-34=11
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 96:[48, 11], Operations: ['58-10=48', '45-34=11']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 48*11=528, Resulting Numbers: [528]
528,96 unequal: No Solution
Exploring Operation: 48+11=59, Resulting Numbers: [59]
59,96 unequal: No Solution
No 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: 96:[34, 3], Operations: ['58-10=48', '48-45=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,96 unequal: No Solution
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,96 unequal: No Solution
No 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: 96:[45, 14], Operations: ['58-10=48', '48-34=14']
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,96 unequal: No Solution
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,96 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,96 unequal: No Solution
No 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: 96:[34, 93], Operations: ['58-10=48', '45+48=93']
Exploring Operation: 34+93=127, Resulting Numbers: [127]
127,96 unequal: No Solution
Exploring Operation: 34*93=3162, Resulting Numbers: [3162]
3162,96 unequal: No Solution
Exploring Operation: 93-34=59, Resulting Numbers: [59]
59,96 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: 96:[45, 10, 24], Operations: ['58-34=24']
Exploring Operation: 10+24=34, Resulting Numbers: [45, 34]
Generated Node #0,3,0: 96:[45, 34] Operation: 10+24=34
Exploring Operation: 45-10=35, Resulting Numbers: [24, 35]
Generated Node #0,3,1: 96:[24, 35] Operation: 45-10=35
Exploring Operation: 45-24=21, Resulting Numbers: [10, 21]
Generated Node #0,3,2: 96:[10, 21] Operation: 45-24=21
Exploring Operation: 24-10=14, Resulting Numbers: [45, 14]
Generated Node #0,3,3: 96:[45, 14] Operation: 24-10=14
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 96:[24, 35], Operations: ['58-34=24', '45-10=35']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 24*35=840, Resulting Numbers: [840]
840,96 unequal: No Solution
Exploring Operation: 24+35=59, Resulting Numbers: [59]
59,96 unequal: No Solution
No 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: 96:[45, 34], Operations: ['58-34=24', '10+24=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,96 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,96 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,96 unequal: No Solution
No 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: 96:[10, 21], Operations: ['58-34=24', '45-24=21']
Exploring Operation: 10+21=31, Resulting Numbers: [31]
31,96 unequal: No Solution
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,96 unequal: No Solution
Exploring Operation: 10*21=210, Resulting Numbers: [210]
210,96 unequal: No Solution
No 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: 96:[45, 14], Operations: ['58-34=24', '24-10=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,96 unequal: No Solution
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,96 unequal: No Solution
Exploring Operation: 45*14=630, Resulting Numbers: [630]
630,96 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: 96:[45, 10, 92], Operations: ['34+58=92']
Exploring Operation: 45-10=35, Resulting Numbers: [92, 35]
Generated Node #0,1,0: 96:[92, 35] Operation: 45-10=35
Exploring Operation: 92-45=47, Resulting Numbers: [10, 47]
Generated Node #0,1,1: 96:[10, 47] Operation: 92-45=47
Exploring Operation: 45+10=55, Resulting Numbers: [92, 55]
Generated Node #0,1,2: 96:[92, 55] Operation: 45+10=55
Exploring Operation: 10+92=102, Resulting Numbers: [45, 102]
Generated Node #0,1,3: 96:[45, 102] Operation: 10+92=102
Moving to Node #0,1,1
Current State: 96:[10, 47], Operations: ['34+58=92', '92-45=47']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 10*47=470, Resulting Numbers: [470]
470,96 unequal: No Solution
Exploring Operation: 10+47=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[92, 35], Operations: ['34+58=92', '45-10=35']
Exploring Operation: 92*35=3220, Resulting Numbers: [3220]
3220,96 unequal: No Solution
Exploring Operation: 92-35=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 92+35=127, Resulting Numbers: [127]
127,96 unequal: No Solution
Moving to Node #0,1,3
Current State: 96:[45, 102], Operations: ['34+58=92', '10+92=102']
Exploring Operation: 45+102=147, Resulting Numbers: [147]
147,96 unequal: No Solution
Exploring Operation: 102-45=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 45*102=4590, Resulting Numbers: [4590]
4590,96 unequal: No Solution
Moving to Node #0,1,2
Current State: 96:[92, 55], Operations: ['34+58=92', '45+10=55']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,96 unequal: No Solution
Exploring Operation: 92+55=147, Resulting Numbers: [147]
147,96 unequal: No Solution
Exploring Operation: 92*55=5060, Resulting Numbers: [5060]
5060,96 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 |
[
13,
30,
18,
92
] | 31 | [
"13+30=43",
"92-18=74",
"74-43=31"
] | Current State: 31:[13, 30, 18, 92], Operations: []
Exploring Operation: 13+30=43, Resulting Numbers: [18, 92, 43]
Generated Node #2: [18, 92, 43] from Operation: 13+30=43
Current State: 31:[18, 92, 43], Operations: ['13+30=43']
Exploring Operation: 92-18=74, Resulting Numbers: [43, 74]
Generated Node #3: [43, 74] from Operation: 92-18=74
Current State: 31:[43, 74], Operations: ['13+30=43', '92-18=74']
Exploring Operation: 74-43=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[13, 30, 18, 92], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [30, 92, 31]
Generated Node #0,0: 31:[30, 92, 31] Operation: 13+18=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[30, 92, 31], Operations: ['13+18=31']
Exploring Operation: 92-30=62, Resulting Numbers: [31, 62]
Generated Node #0,0,0: 31:[31, 62] Operation: 92-30=62
Moving to Node #0,0,0
Current State: 31:[31, 62], Operations: ['13+18=31', '92-30=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[13, 30, 18, 92], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [30, 92, 31]
Generated Node #0,0: 31:[30, 92, 31] Operation: 13+18=31
Moving to Node #0,0
Current State: 31:[30, 92, 31], Operations: ['13+18=31']
Exploring Operation: 92-30=62, Resulting Numbers: [31, 62]
Generated Node #0,0,0: 31:[31, 62] Operation: 92-30=62
Moving to Node #0,0,0
Current State: 31:[31, 62], Operations: ['13+18=31', '92-30=62']
Exploring Operation: 62-31=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
31,
19,
57,
12
] | 27 | [
"57/19=3",
"12/3=4",
"31-4=27"
] | Current State: 27:[31, 19, 57, 12], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [31, 12, 3]
Generated Node #2: [31, 12, 3] from Operation: 57/19=3
Current State: 27:[31, 12, 3], Operations: ['57/19=3']
Exploring Operation: 12/3=4, Resulting Numbers: [31, 4]
Generated Node #3: [31, 4] from Operation: 12/3=4
Current State: 27:[31, 4], Operations: ['57/19=3', '12/3=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[31, 19, 57, 12], Operations: []
Exploring Operation: 31-19=12, Resulting Numbers: [57, 12, 12]
Generated Node #0,0: 27:[57, 12, 12] Operation: 31-19=12
Exploring Operation: 57/19=3, Resulting Numbers: [31, 12, 3]
Generated Node #0,1: 27:[31, 12, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [31, 12, 38]
Generated Node #0,2: 27:[31, 12, 38] Operation: 57-19=38
Exploring Operation: 57-12=45, Resulting Numbers: [31, 19, 45]
Generated Node #0,3: 27:[31, 19, 45] Operation: 57-12=45
Exploring Operation: 57-31=26, Resulting Numbers: [19, 12, 26]
Generated Node #0,4: 27:[19, 12, 26] Operation: 57-31=26
Moving to Node #0,1
Current State: 27:[31, 12, 3], Operations: ['57/19=3']
Exploring Operation: 12/3=4, Resulting Numbers: [31, 4]
Generated Node #0,1,0: 27:[31, 4] Operation: 12/3=4
Exploring Operation: 31-3=28, Resulting Numbers: [12, 28]
Generated Node #0,1,1: 27:[12, 28] Operation: 31-3=28
Exploring Operation: 31+3=34, Resulting Numbers: [12, 34]
Generated Node #0,1,2: 27:[12, 34] Operation: 31+3=34
Exploring Operation: 12-3=9, Resulting Numbers: [31, 9]
Generated Node #0,1,3: 27:[31, 9] Operation: 12-3=9
Exploring Operation: 31-12=19, Resulting Numbers: [3, 19]
Generated Node #0,1,4: 27:[3, 19] Operation: 31-12=19
Moving to Node #0,4
Current State: 27:[19, 12, 26], Operations: ['57-31=26']
Exploring Operation: 19+12=31, Resulting Numbers: [26, 31]
Generated Node #0,4,0: 27:[26, 31] Operation: 19+12=31
Exploring Operation: 12+26=38, Resulting Numbers: [19, 38]
Generated Node #0,4,1: 27:[19, 38] Operation: 12+26=38
Exploring Operation: 26-12=14, Resulting Numbers: [19, 14]
Generated Node #0,4,2: 27:[19, 14] Operation: 26-12=14
Exploring Operation: 19-12=7, Resulting Numbers: [26, 7]
Generated Node #0,4,3: 27:[26, 7] Operation: 19-12=7
Exploring Operation: 26-19=7, Resulting Numbers: [12, 7]
Generated Node #0,4,4: 27:[12, 7] Operation: 26-19=7
Moving to Node #0,2
Current State: 27:[31, 12, 38], Operations: ['57-19=38']
Exploring Operation: 38-31=7, Resulting Numbers: [12, 7]
Generated Node #0,2,0: 27:[12, 7] Operation: 38-31=7
Exploring Operation: 31+12=43, Resulting Numbers: [38, 43]
Generated Node #0,2,1: 27:[38, 43] Operation: 31+12=43
Exploring Operation: 38-12=26, Resulting Numbers: [31, 26]
Generated Node #0,2,2: 27:[31, 26] Operation: 38-12=26
Exploring Operation: 31-12=19, Resulting Numbers: [38, 19]
Generated Node #0,2,3: 27:[38, 19] Operation: 31-12=19
Exploring Operation: 12+38=50, Resulting Numbers: [31, 50]
Generated Node #0,2,4: 27:[31, 50] Operation: 12+38=50
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 27:[12, 7], Operations: ['57-19=38', '38-31=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,27 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 #0,2,2
Current State: 27:[31, 26], Operations: ['57-19=38', '38-12=26']
Exploring Operation: 31+26=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 31*26=806, Resulting Numbers: [806]
806,27 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,27 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 #0,2,3
Current State: 27:[38, 19], Operations: ['57-19=38', '31-12=19']
Exploring Operation: 38*19=722, Resulting Numbers: [722]
722,27 unequal: No Solution
Exploring Operation: 38-19=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 38+19=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Exploring Operation: 38/19=2, Resulting Numbers: [2]
2,27 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 #0,2,1
Current State: 27:[38, 43], Operations: ['57-19=38', '31+12=43']
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,27 unequal: No Solution
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,27 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 #0,2,4
Current State: 27:[31, 50], Operations: ['57-19=38', '12+38=50']
Exploring Operation: 31*50=1550, Resulting Numbers: [1550]
1550,27 unequal: No Solution
Exploring Operation: 50-31=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Exploring Operation: 31+50=81, Resulting Numbers: [81]
81,27 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: 27:[31, 19, 45], Operations: ['57-12=45']
Exploring Operation: 31-19=12, Resulting Numbers: [45, 12]
Generated Node #0,3,0: 27:[45, 12] Operation: 31-19=12
Exploring Operation: 19+45=64, Resulting Numbers: [31, 64]
Generated Node #0,3,1: 27:[31, 64] Operation: 19+45=64
Exploring Operation: 45-31=14, Resulting Numbers: [19, 14]
Generated Node #0,3,2: 27:[19, 14] Operation: 45-31=14
Exploring Operation: 31+19=50, Resulting Numbers: [45, 50]
Generated Node #0,3,3: 27:[45, 50] Operation: 31+19=50
Exploring Operation: 45-19=26, Resulting Numbers: [31, 26]
Generated Node #0,3,4: 27:[31, 26] Operation: 45-19=26
Moving to Node #0,0
Current State: 27:[57, 12, 12], Operations: ['31-19=12']
Exploring Operation: 12-12=0, Resulting Numbers: [57, 0]
Generated Node #0,0,0: 27:[57, 0] Operation: 12-12=0
Exploring Operation: 12/12=1, Resulting Numbers: [57, 1]
Generated Node #0,0,1: 27:[57, 1] Operation: 12/12=1
Exploring Operation: 57-12=45, Resulting Numbers: [12, 45]
Generated Node #0,0,2: 27:[12, 45] Operation: 57-12=45
Exploring Operation: 12+12=24, Resulting Numbers: [57, 24]
Generated Node #0,0,3: 27:[57, 24] Operation: 12+12=24
Exploring Operation: 57-12=45, Resulting Numbers: [12, 45]
Generated Node #0,0,4: 27:[12, 45] Operation: 57-12=45
Moving to Node #0,4,3
Current State: 27:[26, 7], Operations: ['57-31=26', '19-12=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,27 unequal: No Solution
Exploring Operation: 26*7=182, Resulting Numbers: [182]
182,27 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,27 unequal: No Solution
Moving to Node #0,1,1
Current State: 27:[12, 28], Operations: ['57/19=3', '31-3=28']
Exploring Operation: 12*28=336, Resulting Numbers: [336]
336,27 unequal: No Solution
Exploring Operation: 12+28=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Moving to Node #0,1,3
Current State: 27:[31, 9], Operations: ['57/19=3', '12-3=9']
Exploring Operation: 31+9=40, Resulting Numbers: [40]
40,27 unequal: No Solution
Exploring Operation: 31*9=279, Resulting Numbers: [279]
279,27 unequal: No Solution
Exploring Operation: 31-9=22, Resulting Numbers: [22]
22,27 unequal: No Solution
Moving to Node #0,4,0
Current State: 27:[26, 31], Operations: ['57-31=26', '19+12=31']
Exploring Operation: 26*31=806, Resulting Numbers: [806]
806,27 unequal: No Solution
Exploring Operation: 31-26=5, Resulting Numbers: [5]
5,27 unequal: No Solution
Exploring Operation: 26+31=57, Resulting Numbers: [57]
57,27 unequal: No Solution
Moving to Node #0,1,0
Current State: 27:[31, 4], Operations: ['57/19=3', '12/3=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[31, 19, 57, 12], Operations: []
Exploring Operation: 57/19=3, Resulting Numbers: [31, 12, 3]
Generated Node #0,1: 27:[31, 12, 3] Operation: 57/19=3
Moving to Node #0,1
Current State: 27:[31, 12, 3], Operations: ['57/19=3']
Exploring Operation: 12/3=4, Resulting Numbers: [31, 4]
Generated Node #0,1,0: 27:[31, 4] Operation: 12/3=4
Moving to Node #0,1,0
Current State: 27:[31, 4], Operations: ['57/19=3', '12/3=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.945313 | hs_5 | sum_heuristic |
[
51,
89,
2,
68
] | 36 | [
"51+89=140",
"140-68=72",
"72/2=36"
] | Current State: 36:[51, 89, 2, 68], Operations: []
Exploring Operation: 51+89=140, Resulting Numbers: [2, 68, 140]
Generated Node #2: [2, 68, 140] from Operation: 51+89=140
Current State: 36:[2, 68, 140], Operations: ['51+89=140']
Exploring Operation: 140-68=72, Resulting Numbers: [2, 72]
Generated Node #3: [2, 72] from Operation: 140-68=72
Current State: 36:[2, 72], Operations: ['51+89=140', '140-68=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[51, 89, 2, 68], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [89, 2, 17]
Generated Node #0,0: 36:[89, 2, 17] Operation: 68-51=17
Exploring Operation: 89-51=38, Resulting Numbers: [2, 68, 38]
Generated Node #0,1: 36:[2, 68, 38] Operation: 89-51=38
Exploring Operation: 89-68=21, Resulting Numbers: [51, 2, 21]
Generated Node #0,2: 36:[51, 2, 21] Operation: 89-68=21
Moving to Node #0,2
Current State: 36:[51, 2, 21], Operations: ['89-68=21']
Exploring Operation: 51-2=49, Resulting Numbers: [21, 49]
Generated Node #0,2,0: 36:[21, 49] Operation: 51-2=49
Exploring Operation: 21-2=19, Resulting Numbers: [51, 19]
Generated Node #0,2,1: 36:[51, 19] Operation: 21-2=19
Exploring Operation: 51-21=30, Resulting Numbers: [2, 30]
Generated Node #0,2,2: 36:[2, 30] Operation: 51-21=30
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 36:[2, 30], Operations: ['89-68=21', '51-21=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,36 unequal: No Solution
Exploring Operation: 2+30=32, Resulting Numbers: [32]
32,36 unequal: No Solution
Exploring Operation: 30-2=28, Resulting Numbers: [28]
28,36 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 #0,2,0
Current State: 36:[21, 49], Operations: ['89-68=21', '51-2=49']
Exploring Operation: 21*49=1029, Resulting Numbers: [1029]
1029,36 unequal: No Solution
Exploring Operation: 49-21=28, Resulting Numbers: [28]
28,36 unequal: No Solution
Exploring Operation: 21+49=70, Resulting Numbers: [70]
70,36 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 #0,2,1
Current State: 36:[51, 19], Operations: ['89-68=21', '21-2=19']
Exploring Operation: 51*19=969, Resulting Numbers: [969]
969,36 unequal: No Solution
Exploring Operation: 51+19=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 51-19=32, Resulting Numbers: [32]
32,36 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: 36:[2, 68, 38], Operations: ['89-51=38']
Exploring Operation: 68-38=30, Resulting Numbers: [2, 30]
Generated Node #0,1,0: 36:[2, 30] Operation: 68-38=30
Exploring Operation: 68-2=66, Resulting Numbers: [38, 66]
Generated Node #0,1,1: 36:[38, 66] Operation: 68-2=66
Exploring Operation: 68/2=34, Resulting Numbers: [38, 34]
Generated Node #0,1,2: 36:[38, 34] Operation: 68/2=34
Moving to Node #0,0
Current State: 36:[89, 2, 17], Operations: ['68-51=17']
Exploring Operation: 89-17=72, Resulting Numbers: [2, 72]
Generated Node #0,0,0: 36:[2, 72] Operation: 89-17=72
Exploring Operation: 89-2=87, Resulting Numbers: [17, 87]
Generated Node #0,0,1: 36:[17, 87] Operation: 89-2=87
Exploring Operation: 2+17=19, Resulting Numbers: [89, 19]
Generated Node #0,0,2: 36:[89, 19] Operation: 2+17=19
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 36:[2, 72], Operations: ['68-51=17', '89-17=72']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,36 unequal: No Solution
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[51, 89, 2, 68], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [89, 2, 17]
Generated Node #0,0: 36:[89, 2, 17] Operation: 68-51=17
Moving to Node #0,0
Current State: 36:[89, 2, 17], Operations: ['68-51=17']
Exploring Operation: 89-17=72, Resulting Numbers: [2, 72]
Generated Node #0,0,0: 36:[2, 72] Operation: 89-17=72
Moving to Node #0,0,0
Current State: 36:[2, 72], Operations: ['68-51=17', '89-17=72']
Exploring Operation: 72/2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_3 | mult_heuristic |
[
79,
65,
4,
58
] | 18 | [
"79-65=14",
"58+14=72",
"72/4=18"
] | Current State: 18:[79, 65, 4, 58], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [4, 58, 14]
Generated Node #2: [4, 58, 14] from Operation: 79-65=14
Current State: 18:[4, 58, 14], Operations: ['79-65=14']
Exploring Operation: 58+14=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 58+14=72
Current State: 18:[4, 72], Operations: ['79-65=14', '58+14=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[79, 65, 4, 58], Operations: []
Exploring Operation: 79-58=21, Resulting Numbers: [65, 4, 21]
Generated Node #0,0: 18:[65, 4, 21] Operation: 79-58=21
Exploring Operation: 79-65=14, Resulting Numbers: [4, 58, 14]
Generated Node #0,1: 18:[4, 58, 14] Operation: 79-65=14
Exploring Operation: 65-58=7, Resulting Numbers: [79, 4, 7]
Generated Node #0,2: 18:[79, 4, 7] Operation: 65-58=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 18:[4, 58, 14], Operations: ['79-65=14']
Exploring Operation: 58-4=54, Resulting Numbers: [14, 54]
Generated Node #0,1,0: 18:[14, 54] Operation: 58-4=54
Exploring Operation: 58-14=44, Resulting Numbers: [4, 44]
Generated Node #0,1,1: 18:[4, 44] Operation: 58-14=44
Exploring Operation: 4+14=18, Resulting Numbers: [58, 18]
Generated Node #0,1,2: 18:[58, 18] Operation: 4+14=18
Moving to Node #0,1,1
Current State: 18:[4, 44], Operations: ['79-65=14', '58-14=44']
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Moving to Node #0,1,0
Current State: 18:[14, 54], Operations: ['79-65=14', '58-4=54']
Exploring Operation: 14*54=756, Resulting Numbers: [756]
756,18 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,18 unequal: No Solution
Exploring Operation: 14+54=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Moving to Node #0,1,2
Current State: 18:[58, 18], Operations: ['79-65=14', '4+14=18']
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,18 unequal: No Solution
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,18 unequal: No Solution
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,18 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 18:[65, 4, 21], Operations: ['79-58=21']
Exploring Operation: 65-21=44, Resulting Numbers: [4, 44]
Generated Node #0,0,0: 18:[4, 44] Operation: 65-21=44
Exploring Operation: 21-4=17, Resulting Numbers: [65, 17]
Generated Node #0,0,1: 18:[65, 17] Operation: 21-4=17
Exploring Operation: 65-4=61, Resulting Numbers: [21, 61]
Generated Node #0,0,2: 18:[21, 61] Operation: 65-4=61
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 18:[4, 44], Operations: ['79-58=21', '65-21=44']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,18 unequal: No Solution
Exploring Operation: 4+44=48, Resulting Numbers: [48]
48,18 unequal: No Solution
Exploring Operation: 44-4=40, Resulting Numbers: [40]
40,18 unequal: No Solution
No 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: 18:[21, 61], Operations: ['79-58=21', '65-4=61']
Exploring Operation: 21+61=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Exploring Operation: 21*61=1281, Resulting Numbers: [1281]
1281,18 unequal: No Solution
Exploring Operation: 61-21=40, Resulting Numbers: [40]
40,18 unequal: No Solution
No 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: 18:[65, 17], Operations: ['79-58=21', '21-4=17']
Exploring Operation: 65+17=82, Resulting Numbers: [82]
82,18 unequal: No Solution
Exploring Operation: 65*17=1105, Resulting Numbers: [1105]
1105,18 unequal: No Solution
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,18 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: 18:[79, 4, 7], Operations: ['65-58=7']
Exploring Operation: 79-4=75, Resulting Numbers: [7, 75]
Generated Node #0,2,0: 18:[7, 75] Operation: 79-4=75
Exploring Operation: 7-4=3, Resulting Numbers: [79, 3]
Generated Node #0,2,1: 18:[79, 3] Operation: 7-4=3
Exploring Operation: 79-7=72, Resulting Numbers: [4, 72]
Generated Node #0,2,2: 18:[4, 72] Operation: 79-7=72
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 18:[4, 72], Operations: ['65-58=7', '79-7=72']
Exploring Operation: 72-4=68, Resulting Numbers: [68]
68,18 unequal: No Solution
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[79, 65, 4, 58], Operations: []
Exploring Operation: 65-58=7, Resulting Numbers: [79, 4, 7]
Generated Node #0,2: 18:[79, 4, 7] Operation: 65-58=7
Moving to Node #0,2
Current State: 18:[79, 4, 7], Operations: ['65-58=7']
Exploring Operation: 79-7=72, Resulting Numbers: [4, 72]
Generated Node #0,2,2: 18:[4, 72] Operation: 79-7=72
Moving to Node #0,2,2
Current State: 18:[4, 72], Operations: ['65-58=7', '79-7=72']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96875 | hs_3 | mult_heuristic |
[
28,
42,
38,
96
] | 87 | [
"96-38=58",
"42*58=2436",
"2436/28=87"
] | Current State: 87:[28, 42, 38, 96], Operations: []
Exploring Operation: 96-38=58, Resulting Numbers: [28, 42, 58]
Generated Node #2: [28, 42, 58] from Operation: 96-38=58
Current State: 87:[28, 42, 58], Operations: ['96-38=58']
Exploring Operation: 42*58=2436, Resulting Numbers: [28, 2436]
Generated Node #3: [28, 2436] from Operation: 42*58=2436
Current State: 87:[28, 2436], Operations: ['96-38=58', '42*58=2436']
Exploring Operation: 2436/28=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[28, 42, 38, 96], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [28, 96, 4]
Generated Node #0,0: 87:[28, 96, 4] Operation: 42-38=4
Exploring Operation: 28+42=70, Resulting Numbers: [38, 96, 70]
Generated Node #0,1: 87:[38, 96, 70] Operation: 28+42=70
Exploring Operation: 42+38=80, Resulting Numbers: [28, 96, 80]
Generated Node #0,2: 87:[28, 96, 80] Operation: 42+38=80
Exploring Operation: 42-28=14, Resulting Numbers: [38, 96, 14]
Generated Node #0,3: 87:[38, 96, 14] Operation: 42-28=14
Exploring Operation: 38-28=10, Resulting Numbers: [42, 96, 10]
Generated Node #0,4: 87:[42, 96, 10] Operation: 38-28=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[28, 96, 4], Operations: ['42-38=4']
Exploring Operation: 28/4=7, Resulting Numbers: [96, 7]
Generated Node #0,0,0: 87:[96, 7] Operation: 28/4=7
Exploring Operation: 96-4=92, Resulting Numbers: [28, 92]
Generated Node #0,0,1: 87:[28, 92] Operation: 96-4=92
Exploring Operation: 96/4=24, Resulting Numbers: [28, 24]
Generated Node #0,0,2: 87:[28, 24] Operation: 96/4=24
Exploring Operation: 28-4=24, Resulting Numbers: [96, 24]
Generated Node #0,0,3: 87:[96, 24] Operation: 28-4=24
Exploring Operation: 28+4=32, Resulting Numbers: [96, 32]
Generated Node #0,0,4: 87:[96, 32] Operation: 28+4=32
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[28, 92], Operations: ['42-38=4', '96-4=92']
Exploring Operation: 28*92=2576, Resulting Numbers: [2576]
2576,87 unequal: No Solution
Exploring Operation: 28+92=120, Resulting Numbers: [120]
120,87 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,87 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 #0,0,2
Current State: 87:[28, 24], Operations: ['42-38=4', '96/4=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,87 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,87 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 #0,0,4
Current State: 87:[96, 32], Operations: ['42-38=4', '28+4=32']
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 96+32=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 96*32=3072, Resulting Numbers: [3072]
3072,87 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 #0,0,0
Current State: 87:[96, 7], Operations: ['42-38=4', '28/4=7']
Exploring Operation: 96*7=672, Resulting Numbers: [672]
672,87 unequal: No Solution
Exploring Operation: 96+7=103, Resulting Numbers: [103]
103,87 unequal: No Solution
Exploring Operation: 96-7=89, Resulting Numbers: [89]
89,87 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 #0,0,3
Current State: 87:[96, 24], Operations: ['42-38=4', '28-4=24']
Exploring Operation: 96/24=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 96*24=2304, Resulting Numbers: [2304]
2304,87 unequal: No Solution
Exploring Operation: 96-24=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 96+24=120, Resulting Numbers: [120]
120,87 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 #0,2
Current State: 87:[28, 96, 80], Operations: ['42+38=80']
Exploring Operation: 80-28=52, Resulting Numbers: [96, 52]
Generated Node #0,2,0: 87:[96, 52] Operation: 80-28=52
Exploring Operation: 28+80=108, Resulting Numbers: [96, 108]
Generated Node #0,2,1: 87:[96, 108] Operation: 28+80=108
Exploring Operation: 96-28=68, Resulting Numbers: [80, 68]
Generated Node #0,2,2: 87:[80, 68] Operation: 96-28=68
Exploring Operation: 28+96=124, Resulting Numbers: [80, 124]
Generated Node #0,2,3: 87:[80, 124] Operation: 28+96=124
Exploring Operation: 96-80=16, Resulting Numbers: [28, 16]
Generated Node #0,2,4: 87:[28, 16] Operation: 96-80=16
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 87:[28, 16], Operations: ['42+38=80', '96-80=16']
Exploring Operation: 28*16=448, Resulting Numbers: [448]
448,87 unequal: No Solution
Exploring Operation: 28+16=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 28-16=12, Resulting Numbers: [12]
12,87 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 #0,2,2
Current State: 87:[80, 68], Operations: ['42+38=80', '96-28=68']
Exploring Operation: 80+68=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 80*68=5440, Resulting Numbers: [5440]
5440,87 unequal: No Solution
Exploring Operation: 80-68=12, Resulting Numbers: [12]
12,87 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:[96, 108], Operations: ['42+38=80', '28+80=108']
Exploring Operation: 108-96=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 96*108=10368, Resulting Numbers: [10368]
10368,87 unequal: No Solution
Exploring Operation: 96+108=204, Resulting Numbers: [204]
204,87 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:[96, 52], Operations: ['42+38=80', '80-28=52']
Exploring Operation: 96+52=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 96*52=4992, Resulting Numbers: [4992]
4992,87 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 #0,2,3
Current State: 87:[80, 124], Operations: ['42+38=80', '28+96=124']
Exploring Operation: 80*124=9920, Resulting Numbers: [9920]
9920,87 unequal: No Solution
Exploring Operation: 80+124=204, Resulting Numbers: [204]
204,87 unequal: No Solution
Exploring Operation: 124-80=44, Resulting Numbers: [44]
44,87 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 #0,3
Current State: 87:[38, 96, 14], Operations: ['42-28=14']
Exploring Operation: 96-38=58, Resulting Numbers: [14, 58]
Generated Node #0,3,0: 87:[14, 58] Operation: 96-38=58
Exploring Operation: 96-14=82, Resulting Numbers: [38, 82]
Generated Node #0,3,1: 87:[38, 82] Operation: 96-14=82
Exploring Operation: 96+14=110, Resulting Numbers: [38, 110]
Generated Node #0,3,2: 87:[38, 110] Operation: 96+14=110
Exploring Operation: 38+14=52, Resulting Numbers: [96, 52]
Generated Node #0,3,3: 87:[96, 52] Operation: 38+14=52
Exploring Operation: 38-14=24, Resulting Numbers: [96, 24]
Generated Node #0,3,4: 87:[96, 24] Operation: 38-14=24
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 87:[38, 82], Operations: ['42-28=14', '96-14=82']
Exploring Operation: 38*82=3116, Resulting Numbers: [3116]
3116,87 unequal: No Solution
Exploring Operation: 38+82=120, Resulting Numbers: [120]
120,87 unequal: No Solution
Exploring Operation: 82-38=44, Resulting Numbers: [44]
44,87 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 #0,3,4
Current State: 87:[96, 24], Operations: ['42-28=14', '38-14=24']
Exploring Operation: 96/24=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 96-24=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 96*24=2304, Resulting Numbers: [2304]
2304,87 unequal: No Solution
Exploring Operation: 96+24=120, Resulting Numbers: [120]
120,87 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 #0,3,2
Current State: 87:[38, 110], Operations: ['42-28=14', '96+14=110']
Exploring Operation: 110-38=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 38+110=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 38*110=4180, Resulting Numbers: [4180]
4180,87 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 #0,3,3
Current State: 87:[96, 52], Operations: ['42-28=14', '38+14=52']
Exploring Operation: 96+52=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 96*52=4992, Resulting Numbers: [4992]
4992,87 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 #0,3,0
Current State: 87:[14, 58], Operations: ['42-28=14', '96-38=58']
Exploring Operation: 58-14=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 14*58=812, Resulting Numbers: [812]
812,87 unequal: No Solution
Exploring Operation: 14+58=72, Resulting Numbers: [72]
72,87 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 #0,4
Current State: 87:[42, 96, 10], Operations: ['38-28=10']
Exploring Operation: 96-10=86, Resulting Numbers: [42, 86]
Generated Node #0,4,0: 87:[42, 86] Operation: 96-10=86
Exploring Operation: 96-42=54, Resulting Numbers: [10, 54]
Generated Node #0,4,1: 87:[10, 54] Operation: 96-42=54
Exploring Operation: 96+10=106, Resulting Numbers: [42, 106]
Generated Node #0,4,2: 87:[42, 106] Operation: 96+10=106
Exploring Operation: 42-10=32, Resulting Numbers: [96, 32]
Generated Node #0,4,3: 87:[96, 32] Operation: 42-10=32
Exploring Operation: 42+10=52, Resulting Numbers: [96, 52]
Generated Node #0,4,4: 87:[96, 52] Operation: 42+10=52
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 87:[96, 32], Operations: ['38-28=10', '42-10=32']
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 96*32=3072, Resulting Numbers: [3072]
3072,87 unequal: No Solution
Exploring Operation: 96+32=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,87 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 #0,4,0
Current State: 87:[42, 86], Operations: ['38-28=10', '96-10=86']
Exploring Operation: 42+86=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 42*86=3612, Resulting Numbers: [3612]
3612,87 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,87 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 #0,4,1
Current State: 87:[10, 54], Operations: ['38-28=10', '96-42=54']
Exploring Operation: 10+54=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,87 unequal: No Solution
Exploring Operation: 10*54=540, Resulting Numbers: [540]
540,87 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 #0,4,2
Current State: 87:[42, 106], Operations: ['38-28=10', '96+10=106']
Exploring Operation: 106-42=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 42+106=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 42*106=4452, Resulting Numbers: [4452]
4452,87 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 #0,4,4
Current State: 87:[96, 52], Operations: ['38-28=10', '42+10=52']
Exploring Operation: 96*52=4992, Resulting Numbers: [4992]
4992,87 unequal: No Solution
Exploring Operation: 96+52=148, Resulting Numbers: [148]
148,87 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,87 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:[38, 96, 70], Operations: ['28+42=70']
Exploring Operation: 96-70=26, Resulting Numbers: [38, 26]
Generated Node #0,1,0: 87:[38, 26] Operation: 96-70=26
Exploring Operation: 70-38=32, Resulting Numbers: [96, 32]
Generated Node #0,1,1: 87:[96, 32] Operation: 70-38=32
Exploring Operation: 38+96=134, Resulting Numbers: [70, 134]
Generated Node #0,1,2: 87:[70, 134] Operation: 38+96=134
Exploring Operation: 96-38=58, Resulting Numbers: [70, 58]
Generated Node #0,1,3: 87:[70, 58] Operation: 96-38=58
Exploring Operation: 38+70=108, Resulting Numbers: [96, 108]
Generated Node #0,1,4: 87:[96, 108] Operation: 38+70=108
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[38, 26], Operations: ['28+42=70', '96-70=26']
Exploring Operation: 38-26=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 38+26=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 38*26=988, Resulting Numbers: [988]
988,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[96, 32], Operations: ['28+42=70', '70-38=32']
Exploring Operation: 96/32=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 96-32=64, Resulting Numbers: [64]
64,87 unequal: No Solution
Exploring Operation: 96+32=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 96*32=3072, Resulting Numbers: [3072]
3072,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 87:[96, 108], Operations: ['28+42=70', '38+70=108']
Exploring Operation: 96+108=204, Resulting Numbers: [204]
204,87 unequal: No Solution
Exploring Operation: 96*108=10368, Resulting Numbers: [10368]
10368,87 unequal: No Solution
Exploring Operation: 108-96=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[70, 58], Operations: ['28+42=70', '96-38=58']
Exploring Operation: 70*58=4060, Resulting Numbers: [4060]
4060,87 unequal: No Solution
Exploring Operation: 70+58=128, Resulting Numbers: [128]
128,87 unequal: No Solution
Exploring Operation: 70-58=12, Resulting Numbers: [12]
12,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[70, 134], Operations: ['28+42=70', '38+96=134']
Exploring Operation: 70*134=9380, Resulting Numbers: [9380]
9380,87 unequal: No Solution
Exploring Operation: 70+134=204, Resulting Numbers: [204]
204,87 unequal: No Solution
Exploring Operation: 134-70=64, Resulting Numbers: [64]
64,87 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
No solution found.
| 0 | hs_5 | sum_heuristic |
[
50,
32,
25,
59
] | 48 | [
"50+32=82",
"59-25=34",
"82-34=48"
] | Current State: 48:[50, 32, 25, 59], Operations: []
Exploring Operation: 50+32=82, Resulting Numbers: [25, 59, 82]
Generated Node #2: [25, 59, 82] from Operation: 50+32=82
Current State: 48:[25, 59, 82], Operations: ['50+32=82']
Exploring Operation: 59-25=34, Resulting Numbers: [82, 34]
Generated Node #3: [82, 34] from Operation: 59-25=34
Current State: 48:[82, 34], Operations: ['50+32=82', '59-25=34']
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[50, 32, 25, 59], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [32, 25, 9]
Generated Node #0,0: 48:[32, 25, 9] Operation: 59-50=9
Exploring Operation: 59-32=27, Resulting Numbers: [50, 25, 27]
Generated Node #0,1: 48:[50, 25, 27] Operation: 59-32=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[50, 25, 27], Operations: ['59-32=27']
Exploring Operation: 50-27=23, Resulting Numbers: [25, 23]
Generated Node #0,1,0: 48:[25, 23] Operation: 50-27=23
Exploring Operation: 27-25=2, Resulting Numbers: [50, 2]
Generated Node #0,1,1: 48:[50, 2] Operation: 27-25=2
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[25, 23], Operations: ['59-32=27', '50-27=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[50, 32, 25, 59], Operations: []
Exploring Operation: 59-32=27, Resulting Numbers: [50, 25, 27]
Generated Node #0,1: 48:[50, 25, 27] Operation: 59-32=27
Moving to Node #0,1
Current State: 48:[50, 25, 27], Operations: ['59-32=27']
Exploring Operation: 50-27=23, Resulting Numbers: [25, 23]
Generated Node #0,1,0: 48:[25, 23] Operation: 50-27=23
Moving to Node #0,1,0
Current State: 48:[25, 23], Operations: ['59-32=27', '50-27=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
22,
25,
10,
87
] | 19 | [
"25-22=3",
"87/3=29",
"29-10=19"
] | Current State: 19:[22, 25, 10, 87], Operations: []
Exploring Operation: 25-22=3, Resulting Numbers: [10, 87, 3]
Generated Node #2: [10, 87, 3] from Operation: 25-22=3
Current State: 19:[10, 87, 3], Operations: ['25-22=3']
Exploring Operation: 87/3=29, Resulting Numbers: [10, 29]
Generated Node #3: [10, 29] from Operation: 87/3=29
Current State: 19:[10, 29], Operations: ['25-22=3', '87/3=29']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[22, 25, 10, 87], Operations: []
Exploring Operation: 87-25=62, Resulting Numbers: [22, 10, 62]
Generated Node #0,0: 19:[22, 10, 62] Operation: 87-25=62
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[22, 10, 62], Operations: ['87-25=62']
Exploring Operation: 62-22=40, Resulting Numbers: [10, 40]
Generated Node #0,0,0: 19:[10, 40] Operation: 62-22=40
Moving to Node #0,0,0
Current State: 19:[10, 40], Operations: ['87-25=62', '62-22=40']
Exploring Operation: 40-10=30, Resulting Numbers: [30]
30,19 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 |
[
52,
25,
58,
80
] | 70 | [
"58-52=6",
"25*6=150",
"150-80=70"
] | Current State: 70:[52, 25, 58, 80], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [25, 80, 6]
Generated Node #2: [25, 80, 6] from Operation: 58-52=6
Current State: 70:[25, 80, 6], Operations: ['58-52=6']
Exploring Operation: 25*6=150, Resulting Numbers: [80, 150]
Generated Node #3: [80, 150] from Operation: 25*6=150
Current State: 70:[80, 150], Operations: ['58-52=6', '25*6=150']
Exploring Operation: 150-80=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[52, 25, 58, 80], Operations: []
Exploring Operation: 58-52=6, Resulting Numbers: [25, 80, 6]
Generated Node #0,0: 70:[25, 80, 6] Operation: 58-52=6
Exploring Operation: 80-52=28, Resulting Numbers: [25, 58, 28]
Generated Node #0,1: 70:[25, 58, 28] Operation: 80-52=28
Exploring Operation: 52+25=77, Resulting Numbers: [58, 80, 77]
Generated Node #0,2: 70:[58, 80, 77] Operation: 52+25=77
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[25, 80, 6], Operations: ['58-52=6']
Exploring Operation: 25+6=31, Resulting Numbers: [80, 31]
Generated Node #0,0,0: 70:[80, 31] Operation: 25+6=31
Exploring Operation: 80-6=74, Resulting Numbers: [25, 74]
Generated Node #0,0,1: 70:[25, 74] Operation: 80-6=74
Exploring Operation: 25-6=19, Resulting Numbers: [80, 19]
Generated Node #0,0,2: 70:[80, 19] Operation: 25-6=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 70:[80, 31], Operations: ['58-52=6', '25+6=31']
Exploring Operation: 80*31=2480, Resulting Numbers: [2480]
2480,70 unequal: No Solution
Exploring Operation: 80+31=111, Resulting Numbers: [111]
111,70 unequal: No Solution
Exploring Operation: 80-31=49, Resulting Numbers: [49]
49,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 70:[25, 74], Operations: ['58-52=6', '80-6=74']
Exploring Operation: 74-25=49, Resulting Numbers: [49]
49,70 unequal: No Solution
Exploring Operation: 25*74=1850, Resulting Numbers: [1850]
1850,70 unequal: No Solution
Exploring Operation: 25+74=99, Resulting Numbers: [99]
99,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 70:[80, 19], Operations: ['58-52=6', '25-6=19']
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 80*19=1520, Resulting Numbers: [1520]
1520,70 unequal: No Solution
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 70:[25, 58, 28], Operations: ['80-52=28']
Exploring Operation: 28-25=3, Resulting Numbers: [58, 3]
Generated Node #0,1,0: 70:[58, 3] Operation: 28-25=3
Exploring Operation: 58-25=33, Resulting Numbers: [28, 33]
Generated Node #0,1,1: 70:[28, 33] Operation: 58-25=33
Exploring Operation: 58-28=30, Resulting Numbers: [25, 30]
Generated Node #0,1,2: 70:[25, 30] Operation: 58-28=30
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 70:[28, 33], Operations: ['80-52=28', '58-25=33']
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 28*33=924, Resulting Numbers: [924]
924,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 70:[58, 3], Operations: ['80-52=28', '28-25=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,70 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 70:[25, 30], Operations: ['80-52=28', '58-28=30']
Exploring Operation: 25+30=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,70 unequal: No Solution
Exploring Operation: 25*30=750, Resulting Numbers: [750]
750,70 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 70:[58, 80, 77], Operations: ['52+25=77']
Exploring Operation: 80-58=22, Resulting Numbers: [77, 22]
Generated Node #0,2,0: 70:[77, 22] Operation: 80-58=22
Exploring Operation: 80-77=3, Resulting Numbers: [58, 3]
Generated Node #0,2,1: 70:[58, 3] Operation: 80-77=3
Exploring Operation: 77-58=19, Resulting Numbers: [80, 19]
Generated Node #0,2,2: 70:[80, 19] Operation: 77-58=19
Moving to Node #0,2,1
Current State: 70:[58, 3], Operations: ['52+25=77', '80-77=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,70 unequal: No Solution
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[77, 22], Operations: ['52+25=77', '80-58=22']
Exploring Operation: 77-22=55, Resulting Numbers: [55]
55,70 unequal: No Solution
Exploring Operation: 77+22=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Exploring Operation: 77*22=1694, Resulting Numbers: [1694]
1694,70 unequal: No Solution
Moving to Node #0,2,2
Current State: 70:[80, 19], Operations: ['52+25=77', '77-58=19']
Exploring Operation: 80*19=1520, Resulting Numbers: [1520]
1520,70 unequal: No Solution
Exploring Operation: 80+19=99, Resulting Numbers: [99]
99,70 unequal: No Solution
Exploring Operation: 80-19=61, Resulting Numbers: [61]
61,70 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 |
[
57,
39,
29,
13
] | 89 | [
"57+29=86",
"39/13=3",
"86+3=89"
] | Current State: 89:[57, 39, 29, 13], Operations: []
Exploring Operation: 57+29=86, Resulting Numbers: [39, 13, 86]
Generated Node #2: [39, 13, 86] from Operation: 57+29=86
Current State: 89:[39, 13, 86], Operations: ['57+29=86']
Exploring Operation: 39/13=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 39/13=3
Current State: 89:[86, 3], Operations: ['57+29=86', '39/13=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[57, 39, 29, 13], Operations: []
Exploring Operation: 29+13=42, Resulting Numbers: [57, 39, 42]
Generated Node #0,0: 89:[57, 39, 42] Operation: 29+13=42
Exploring Operation: 39+13=52, Resulting Numbers: [57, 29, 52]
Generated Node #0,1: 89:[57, 29, 52] Operation: 39+13=52
Exploring Operation: 39+29=68, Resulting Numbers: [57, 13, 68]
Generated Node #0,2: 89:[57, 13, 68] Operation: 39+29=68
Exploring Operation: 57+13=70, Resulting Numbers: [39, 29, 70]
Generated Node #0,3: 89:[39, 29, 70] Operation: 57+13=70
Exploring Operation: 57+29=86, Resulting Numbers: [39, 13, 86]
Generated Node #0,4: 89:[39, 13, 86] Operation: 57+29=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[57, 39, 42], Operations: ['29+13=42']
Exploring Operation: 57-39=18, Resulting Numbers: [42, 18]
Generated Node #0,0,0: 89:[42, 18] Operation: 57-39=18
Exploring Operation: 57+42=99, Resulting Numbers: [39, 99]
Generated Node #0,0,1: 89:[39, 99] Operation: 57+42=99
Exploring Operation: 42-39=3, Resulting Numbers: [57, 3]
Generated Node #0,0,2: 89:[57, 3] Operation: 42-39=3
Exploring Operation: 39+42=81, Resulting Numbers: [57, 81]
Generated Node #0,0,3: 89:[57, 81] Operation: 39+42=81
Exploring Operation: 57+39=96, Resulting Numbers: [42, 96]
Generated Node #0,0,4: 89:[42, 96] Operation: 57+39=96
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 89:[57, 81], Operations: ['29+13=42', '39+42=81']
Exploring Operation: 57+81=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 57*81=4617, Resulting Numbers: [4617]
4617,89 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 #0,0,4
Current State: 89:[42, 96], Operations: ['29+13=42', '57+39=96']
Exploring Operation: 42+96=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 96-42=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 42*96=4032, Resulting Numbers: [4032]
4032,89 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 #0,0,1
Current State: 89:[39, 99], Operations: ['29+13=42', '57+42=99']
Exploring Operation: 39+99=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 39*99=3861, Resulting Numbers: [3861]
3861,89 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,89 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 #0,0,0
Current State: 89:[42, 18], Operations: ['29+13=42', '57-39=18']
Exploring Operation: 42+18=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 42*18=756, Resulting Numbers: [756]
756,89 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 #0,0,2
Current State: 89:[57, 3], Operations: ['29+13=42', '42-39=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,89 unequal: No Solution
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,89 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[57, 29, 52], Operations: ['39+13=52']
Exploring Operation: 29+52=81, Resulting Numbers: [57, 81]
Generated Node #0,1,0: 89:[57, 81] Operation: 29+52=81
Exploring Operation: 57-29=28, Resulting Numbers: [52, 28]
Generated Node #0,1,1: 89:[52, 28] Operation: 57-29=28
Exploring Operation: 52-29=23, Resulting Numbers: [57, 23]
Generated Node #0,1,2: 89:[57, 23] Operation: 52-29=23
Exploring Operation: 57+29=86, Resulting Numbers: [52, 86]
Generated Node #0,1,3: 89:[52, 86] Operation: 57+29=86
Exploring Operation: 57+52=109, Resulting Numbers: [29, 109]
Generated Node #0,1,4: 89:[29, 109] Operation: 57+52=109
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[57, 81], Operations: ['39+13=52', '29+52=81']
Exploring Operation: 57*81=4617, Resulting Numbers: [4617]
4617,89 unequal: No Solution
Exploring Operation: 57+81=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,89 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 #0,1,3
Current State: 89:[52, 86], Operations: ['39+13=52', '57+29=86']
Exploring Operation: 52+86=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,89 unequal: No Solution
Exploring Operation: 52*86=4472, Resulting Numbers: [4472]
4472,89 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 #0,1,4
Current State: 89:[29, 109], Operations: ['39+13=52', '57+52=109']
Exploring Operation: 29+109=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 29*109=3161, Resulting Numbers: [3161]
3161,89 unequal: No Solution
Exploring Operation: 109-29=80, Resulting Numbers: [80]
80,89 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 #0,1,1
Current State: 89:[52, 28], Operations: ['39+13=52', '57-29=28']
Exploring Operation: 52+28=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 52-28=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 52*28=1456, Resulting Numbers: [1456]
1456,89 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 #0,1,2
Current State: 89:[57, 23], Operations: ['39+13=52', '52-29=23']
Exploring Operation: 57*23=1311, Resulting Numbers: [1311]
1311,89 unequal: No Solution
Exploring Operation: 57+23=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 89:[57, 13, 68], Operations: ['39+29=68']
Exploring Operation: 68-13=55, Resulting Numbers: [57, 55]
Generated Node #0,2,0: 89:[57, 55] Operation: 68-13=55
Exploring Operation: 57-13=44, Resulting Numbers: [68, 44]
Generated Node #0,2,1: 89:[68, 44] Operation: 57-13=44
Exploring Operation: 13+68=81, Resulting Numbers: [57, 81]
Generated Node #0,2,2: 89:[57, 81] Operation: 13+68=81
Exploring Operation: 57+68=125, Resulting Numbers: [13, 125]
Generated Node #0,2,3: 89:[13, 125] Operation: 57+68=125
Exploring Operation: 57+13=70, Resulting Numbers: [68, 70]
Generated Node #0,2,4: 89:[68, 70] Operation: 57+13=70
Moving to Node #0,2,2
Current State: 89:[57, 81], Operations: ['39+29=68', '13+68=81']
Exploring Operation: 57+81=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 57*81=4617, Resulting Numbers: [4617]
4617,89 unequal: No Solution
Exploring Operation: 81-57=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Moving to Node #0,2,4
Current State: 89:[68, 70], Operations: ['39+29=68', '57+13=70']
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 68+70=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 68*70=4760, Resulting Numbers: [4760]
4760,89 unequal: No Solution
Moving to Node #0,2,0
Current State: 89:[57, 55], Operations: ['39+29=68', '68-13=55']
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,89 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,89 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Moving to Node #0,2,1
Current State: 89:[68, 44], Operations: ['39+29=68', '57-13=44']
Exploring Operation: 68-44=24, Resulting Numbers: [24]
24,89 unequal: No Solution
Exploring Operation: 68*44=2992, Resulting Numbers: [2992]
2992,89 unequal: No Solution
Exploring Operation: 68+44=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Moving to Node #0,2,3
Current State: 89:[13, 125], Operations: ['39+29=68', '57+68=125']
Exploring Operation: 125-13=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 13+125=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 13*125=1625, Resulting Numbers: [1625]
1625,89 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 #0,3
Current State: 89:[39, 29, 70], Operations: ['57+13=70']
Exploring Operation: 29+70=99, Resulting Numbers: [39, 99]
Generated Node #0,3,0: 89:[39, 99] Operation: 29+70=99
Exploring Operation: 70-29=41, Resulting Numbers: [39, 41]
Generated Node #0,3,1: 89:[39, 41] Operation: 70-29=41
Exploring Operation: 39+70=109, Resulting Numbers: [29, 109]
Generated Node #0,3,2: 89:[29, 109] Operation: 39+70=109
Exploring Operation: 39-29=10, Resulting Numbers: [70, 10]
Generated Node #0,3,3: 89:[70, 10] Operation: 39-29=10
Exploring Operation: 39+29=68, Resulting Numbers: [70, 68]
Generated Node #0,3,4: 89:[70, 68] Operation: 39+29=68
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 89:[70, 68], Operations: ['57+13=70', '39+29=68']
Exploring Operation: 70*68=4760, Resulting Numbers: [4760]
4760,89 unequal: No Solution
Exploring Operation: 70+68=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 70-68=2, Resulting Numbers: [2]
2,89 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 #0,3,0
Current State: 89:[39, 99], Operations: ['57+13=70', '29+70=99']
Exploring Operation: 39+99=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 39*99=3861, Resulting Numbers: [3861]
3861,89 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 #0,3,2
Current State: 89:[29, 109], Operations: ['57+13=70', '39+70=109']
Exploring Operation: 29*109=3161, Resulting Numbers: [3161]
3161,89 unequal: No Solution
Exploring Operation: 109-29=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 29+109=138, Resulting Numbers: [138]
138,89 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 #0,3,1
Current State: 89:[39, 41], Operations: ['57+13=70', '70-29=41']
Exploring Operation: 39+41=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 39*41=1599, Resulting Numbers: [1599]
1599,89 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,89 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 #0,3,3
Current State: 89:[70, 10], Operations: ['57+13=70', '39-29=10']
Exploring Operation: 70-10=60, Resulting Numbers: [60]
60,89 unequal: No Solution
Exploring Operation: 70*10=700, Resulting Numbers: [700]
700,89 unequal: No Solution
Exploring Operation: 70+10=80, Resulting Numbers: [80]
80,89 unequal: No Solution
Exploring Operation: 70/10=7, Resulting Numbers: [7]
7,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 89:[39, 13, 86], Operations: ['57+29=86']
Exploring Operation: 39/13=3, Resulting Numbers: [86, 3]
Generated Node #0,4,0: 89:[86, 3] Operation: 39/13=3
Exploring Operation: 86-13=73, Resulting Numbers: [39, 73]
Generated Node #0,4,1: 89:[39, 73] Operation: 86-13=73
Exploring Operation: 13+86=99, Resulting Numbers: [39, 99]
Generated Node #0,4,2: 89:[39, 99] Operation: 13+86=99
Exploring Operation: 39+13=52, Resulting Numbers: [86, 52]
Generated Node #0,4,3: 89:[86, 52] Operation: 39+13=52
Exploring Operation: 39-13=26, Resulting Numbers: [86, 26]
Generated Node #0,4,4: 89:[86, 26] Operation: 39-13=26
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 89:[86, 52], Operations: ['57+29=86', '39+13=52']
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,89 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,89 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 #0,4,2
Current State: 89:[39, 99], Operations: ['57+29=86', '13+86=99']
Exploring Operation: 39+99=138, Resulting Numbers: [138]
138,89 unequal: No Solution
Exploring Operation: 39*99=3861, Resulting Numbers: [3861]
3861,89 unequal: No Solution
Exploring Operation: 99-39=60, Resulting Numbers: [60]
60,89 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 #0,4,1
Current State: 89:[39, 73], Operations: ['57+29=86', '86-13=73']
Exploring Operation: 39+73=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 39*73=2847, Resulting Numbers: [2847]
2847,89 unequal: No Solution
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,89 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 #0,4,4
Current State: 89:[86, 26], Operations: ['57+29=86', '39-13=26']
Exploring Operation: 86+26=112, Resulting Numbers: [112]
112,89 unequal: No Solution
Exploring Operation: 86*26=2236, Resulting Numbers: [2236]
2236,89 unequal: No Solution
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,89 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 #0,4,0
Current State: 89:[86, 3], Operations: ['57+29=86', '39/13=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,89 unequal: No Solution
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Moving to Node #0
Current State: 89:[57, 39, 29, 13], Operations: []
Exploring Operation: 57+29=86, Resulting Numbers: [39, 13, 86]
Generated Node #0,4: 89:[39, 13, 86] Operation: 57+29=86
Moving to Node #0,4
Current State: 89:[39, 13, 86], Operations: ['57+29=86']
Exploring Operation: 39/13=3, Resulting Numbers: [86, 3]
Generated Node #0,4,0: 89:[86, 3] Operation: 39/13=3
Moving to Node #0,4,0
Current State: 89:[86, 3], Operations: ['57+29=86', '39/13=3']
Exploring Operation: 86+3=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.904514 | hs_5 | mult_heuristic |
[
22,
80,
32,
20
] | 14 | [
"32-22=10",
"80/20=4",
"10+4=14"
] | Current State: 14:[22, 80, 32, 20], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [80, 20, 10]
Generated Node #2: [80, 20, 10] from Operation: 32-22=10
Current State: 14:[80, 20, 10], Operations: ['32-22=10']
Exploring Operation: 80/20=4, Resulting Numbers: [10, 4]
Generated Node #3: [10, 4] from Operation: 80/20=4
Current State: 14:[10, 4], Operations: ['32-22=10', '80/20=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[22, 80, 32, 20], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [22, 32, 4]
Generated Node #0,0: 14:[22, 32, 4] Operation: 80/20=4
Moving to Node #0,0
Current State: 14:[22, 32, 4], Operations: ['80/20=4']
Exploring Operation: 32-22=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 14:[4, 10] Operation: 32-22=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 14:[4, 10], Operations: ['80/20=4', '32-22=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[22, 80, 32, 20], Operations: []
Exploring Operation: 80/20=4, Resulting Numbers: [22, 32, 4]
Generated Node #0,0: 14:[22, 32, 4] Operation: 80/20=4
Moving to Node #0,0
Current State: 14:[22, 32, 4], Operations: ['80/20=4']
Exploring Operation: 32-22=10, Resulting Numbers: [4, 10]
Generated Node #0,0,0: 14:[4, 10] Operation: 32-22=10
Moving to Node #0,0,0
Current State: 14:[4, 10], Operations: ['80/20=4', '32-22=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
24,
7,
19,
34
] | 46 | [
"24+7=31",
"34-19=15",
"31+15=46"
] | Current State: 46:[24, 7, 19, 34], Operations: []
Exploring Operation: 24+7=31, Resulting Numbers: [19, 34, 31]
Generated Node #2: [19, 34, 31] from Operation: 24+7=31
Current State: 46:[19, 34, 31], Operations: ['24+7=31']
Exploring Operation: 34-19=15, Resulting Numbers: [31, 15]
Generated Node #3: [31, 15] from Operation: 34-19=15
Current State: 46:[31, 15], Operations: ['24+7=31', '34-19=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[24, 7, 19, 34], Operations: []
Exploring Operation: 34-19=15, Resulting Numbers: [24, 7, 15]
Generated Node #0,0: 46:[24, 7, 15] Operation: 34-19=15
Exploring Operation: 19+34=53, Resulting Numbers: [24, 7, 53]
Generated Node #0,1: 46:[24, 7, 53] Operation: 19+34=53
Exploring Operation: 34-7=27, Resulting Numbers: [24, 19, 27]
Generated Node #0,2: 46:[24, 19, 27] Operation: 34-7=27
Exploring Operation: 7+19=26, Resulting Numbers: [24, 34, 26]
Generated Node #0,3: 46:[24, 34, 26] Operation: 7+19=26
Exploring Operation: 7+34=41, Resulting Numbers: [24, 19, 41]
Generated Node #0,4: 46:[24, 19, 41] Operation: 7+34=41
Moving to Node #0,2
Current State: 46:[24, 19, 27], Operations: ['34-7=27']
Exploring Operation: 27-19=8, Resulting Numbers: [24, 8]
Generated Node #0,2,0: 46:[24, 8] Operation: 27-19=8
Exploring Operation: 24-19=5, Resulting Numbers: [27, 5]
Generated Node #0,2,1: 46:[27, 5] Operation: 24-19=5
Exploring Operation: 19+27=46, Resulting Numbers: [24, 46]
Generated Node #0,2,2: 46:[24, 46] Operation: 19+27=46
Exploring Operation: 27-24=3, Resulting Numbers: [19, 3]
Generated Node #0,2,3: 46:[19, 3] Operation: 27-24=3
Exploring Operation: 24+19=43, Resulting Numbers: [27, 43]
Generated Node #0,2,4: 46:[27, 43] Operation: 24+19=43
Moving to Node #0,4
Current State: 46:[24, 19, 41], Operations: ['7+34=41']
Exploring Operation: 19+41=60, Resulting Numbers: [24, 60]
Generated Node #0,4,0: 46:[24, 60] Operation: 19+41=60
Exploring Operation: 24-19=5, Resulting Numbers: [41, 5]
Generated Node #0,4,1: 46:[41, 5] Operation: 24-19=5
Exploring Operation: 41-19=22, Resulting Numbers: [24, 22]
Generated Node #0,4,2: 46:[24, 22] Operation: 41-19=22
Exploring Operation: 24+19=43, Resulting Numbers: [41, 43]
Generated Node #0,4,3: 46:[41, 43] Operation: 24+19=43
Exploring Operation: 41-24=17, Resulting Numbers: [19, 17]
Generated Node #0,4,4: 46:[19, 17] Operation: 41-24=17
Moving to Node #0,1
Current State: 46:[24, 7, 53], Operations: ['19+34=53']
Exploring Operation: 24-7=17, Resulting Numbers: [53, 17]
Generated Node #0,1,0: 46:[53, 17] Operation: 24-7=17
Exploring Operation: 24+7=31, Resulting Numbers: [53, 31]
Generated Node #0,1,1: 46:[53, 31] Operation: 24+7=31
Exploring Operation: 53-7=46, Resulting Numbers: [24, 46]
Generated Node #0,1,2: 46:[24, 46] Operation: 53-7=46
Exploring Operation: 7+53=60, Resulting Numbers: [24, 60]
Generated Node #0,1,3: 46:[24, 60] Operation: 7+53=60
Exploring Operation: 53-24=29, Resulting Numbers: [7, 29]
Generated Node #0,1,4: 46:[7, 29] Operation: 53-24=29
Moving to Node #0,0
Current State: 46:[24, 7, 15], Operations: ['34-19=15']
Exploring Operation: 24-15=9, Resulting Numbers: [7, 9]
Generated Node #0,0,0: 46:[7, 9] Operation: 24-15=9
Exploring Operation: 7+15=22, Resulting Numbers: [24, 22]
Generated Node #0,0,1: 46:[24, 22] Operation: 7+15=22
Exploring Operation: 24+15=39, Resulting Numbers: [7, 39]
Generated Node #0,0,2: 46:[7, 39] Operation: 24+15=39
Exploring Operation: 15-7=8, Resulting Numbers: [24, 8]
Generated Node #0,0,3: 46:[24, 8] Operation: 15-7=8
Exploring Operation: 24-7=17, Resulting Numbers: [15, 17]
Generated Node #0,0,4: 46:[15, 17] Operation: 24-7=17
Moving to Node #0,3
Current State: 46:[24, 34, 26], Operations: ['7+19=26']
Exploring Operation: 34-26=8, Resulting Numbers: [24, 8]
Generated Node #0,3,0: 46:[24, 8] Operation: 34-26=8
Exploring Operation: 24+26=50, Resulting Numbers: [34, 50]
Generated Node #0,3,1: 46:[34, 50] Operation: 24+26=50
Exploring Operation: 24+34=58, Resulting Numbers: [26, 58]
Generated Node #0,3,2: 46:[26, 58] Operation: 24+34=58
Exploring Operation: 26-24=2, Resulting Numbers: [34, 2]
Generated Node #0,3,3: 46:[34, 2] Operation: 26-24=2
Exploring Operation: 34-24=10, Resulting Numbers: [26, 10]
Generated Node #0,3,4: 46:[26, 10] Operation: 34-24=10
Moving to Node #0,2,2
Current State: 46:[24, 46], Operations: ['34-7=27', '19+27=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,46 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[24, 46], Operations: ['19+34=53', '53-7=46']
Exploring Operation: 24+46=70, Resulting Numbers: [70]
70,46 unequal: No Solution
Exploring Operation: 24*46=1104, Resulting Numbers: [1104]
1104,46 unequal: No Solution
Exploring Operation: 46-24=22, Resulting Numbers: [22]
22,46 unequal: No Solution
Moving to Node #0,4,2
Current State: 46:[24, 22], Operations: ['7+34=41', '41-19=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[24, 7, 19, 34], Operations: []
Exploring Operation: 7+34=41, Resulting Numbers: [24, 19, 41]
Generated Node #0,4: 46:[24, 19, 41] Operation: 7+34=41
Moving to Node #0,4
Current State: 46:[24, 19, 41], Operations: ['7+34=41']
Exploring Operation: 41-19=22, Resulting Numbers: [24, 22]
Generated Node #0,4,2: 46:[24, 22] Operation: 41-19=22
Moving to Node #0,4,2
Current State: 46:[24, 22], Operations: ['7+34=41', '41-19=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 0.96441 | hs_5 | mult_heuristic |
[
9,
89,
20,
79
] | 21 | [
"89-9=80",
"79-20=59",
"80-59=21"
] | Current State: 21:[9, 89, 20, 79], Operations: []
Exploring Operation: 89-9=80, Resulting Numbers: [20, 79, 80]
Generated Node #2: [20, 79, 80] from Operation: 89-9=80
Current State: 21:[20, 79, 80], Operations: ['89-9=80']
Exploring Operation: 79-20=59, Resulting Numbers: [80, 59]
Generated Node #3: [80, 59] from Operation: 79-20=59
Current State: 21:[80, 59], Operations: ['89-9=80', '79-20=59']
Exploring Operation: 80-59=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[9, 89, 20, 79], Operations: []
Exploring Operation: 79-20=59, Resulting Numbers: [9, 89, 59]
Generated Node #0,0: 21:[9, 89, 59] Operation: 79-20=59
Exploring Operation: 89-20=69, Resulting Numbers: [9, 79, 69]
Generated Node #0,1: 21:[9, 79, 69] Operation: 89-20=69
Exploring Operation: 89-79=10, Resulting Numbers: [9, 20, 10]
Generated Node #0,2: 21:[9, 20, 10] Operation: 89-79=10
Moving to Node #0,2
Current State: 21:[9, 20, 10], Operations: ['89-79=10']
Exploring Operation: 20/10=2, Resulting Numbers: [9, 2]
Generated Node #0,2,0: 21:[9, 2] Operation: 20/10=2
Exploring Operation: 9+10=19, Resulting Numbers: [20, 19]
Generated Node #0,2,1: 21:[20, 19] Operation: 9+10=19
Exploring Operation: 10-9=1, Resulting Numbers: [20, 1]
Generated Node #0,2,2: 21:[20, 1] Operation: 10-9=1
Moving to Node #0,0
Current State: 21:[9, 89, 59], Operations: ['79-20=59']
Exploring Operation: 59-9=50, Resulting Numbers: [89, 50]
Generated Node #0,0,0: 21:[89, 50] Operation: 59-9=50
Exploring Operation: 89-9=80, Resulting Numbers: [59, 80]
Generated Node #0,0,1: 21:[59, 80] Operation: 89-9=80
Exploring Operation: 89-59=30, Resulting Numbers: [9, 30]
Generated Node #0,0,2: 21:[9, 30] Operation: 89-59=30
Moving to Node #0,1
Current State: 21:[9, 79, 69], Operations: ['89-20=69']
Exploring Operation: 69-9=60, Resulting Numbers: [79, 60]
Generated Node #0,1,0: 21:[79, 60] Operation: 69-9=60
Exploring Operation: 79-69=10, Resulting Numbers: [9, 10]
Generated Node #0,1,1: 21:[9, 10] Operation: 79-69=10
Exploring Operation: 79-9=70, Resulting Numbers: [69, 70]
Generated Node #0,1,2: 21:[69, 70] Operation: 79-9=70
Moving to Node #0,2,0
Current State: 21:[9, 2], Operations: ['89-79=10', '20/10=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,21 unequal: No Solution
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,21 unequal: No Solution
Moving to Node #0,2,2
Current State: 21:[20, 1], Operations: ['89-79=10', '10-9=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,21 unequal: No Solution
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Moving to Node #0
Current State: 21:[9, 89, 20, 79], Operations: []
Exploring Operation: 89-79=10, Resulting Numbers: [9, 20, 10]
Generated Node #0,2: 21:[9, 20, 10] Operation: 89-79=10
Moving to Node #0,2
Current State: 21:[9, 20, 10], Operations: ['89-79=10']
Exploring Operation: 10-9=1, Resulting Numbers: [20, 1]
Generated Node #0,2,2: 21:[20, 1] Operation: 10-9=1
Moving to Node #0,2,2
Current State: 21:[20, 1], Operations: ['89-79=10', '10-9=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 0.981771 | hs_3 | sum_heuristic |
[
41,
6,
39,
37
] | 52 | [
"41+37=78",
"78/6=13",
"39+13=52"
] | Current State: 52:[41, 6, 39, 37], Operations: []
Exploring Operation: 41+37=78, Resulting Numbers: [6, 39, 78]
Generated Node #2: [6, 39, 78] from Operation: 41+37=78
Current State: 52:[6, 39, 78], Operations: ['41+37=78']
Exploring Operation: 78/6=13, Resulting Numbers: [39, 13]
Generated Node #3: [39, 13] from Operation: 78/6=13
Current State: 52:[39, 13], Operations: ['41+37=78', '78/6=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[41, 6, 39, 37], Operations: []
Exploring Operation: 41-37=4, Resulting Numbers: [6, 39, 4]
Generated Node #0,0: 52:[6, 39, 4] Operation: 41-37=4
Exploring Operation: 39-37=2, Resulting Numbers: [41, 6, 2]
Generated Node #0,1: 52:[41, 6, 2] Operation: 39-37=2
Exploring Operation: 41-39=2, Resulting Numbers: [6, 37, 2]
Generated Node #0,2: 52:[6, 37, 2] Operation: 41-39=2
Exploring Operation: 41+6=47, Resulting Numbers: [39, 37, 47]
Generated Node #0,3: 52:[39, 37, 47] Operation: 41+6=47
Moving to Node #0,1
Current State: 52:[41, 6, 2], Operations: ['39-37=2']
Exploring Operation: 6-2=4, Resulting Numbers: [41, 4]
Generated Node #0,1,0: 52:[41, 4] Operation: 6-2=4
Exploring Operation: 41-6=35, Resulting Numbers: [2, 35]
Generated Node #0,1,1: 52:[2, 35] Operation: 41-6=35
Exploring Operation: 41+2=43, Resulting Numbers: [6, 43]
Generated Node #0,1,2: 52:[6, 43] Operation: 41+2=43
Exploring Operation: 41+6=47, Resulting Numbers: [2, 47]
Generated Node #0,1,3: 52:[2, 47] Operation: 41+6=47
Moving to Node #0,2
Current State: 52:[6, 37, 2], Operations: ['41-39=2']
Exploring Operation: 37-6=31, Resulting Numbers: [2, 31]
Generated Node #0,2,0: 52:[2, 31] Operation: 37-6=31
Exploring Operation: 6+37=43, Resulting Numbers: [2, 43]
Generated Node #0,2,1: 52:[2, 43] Operation: 6+37=43
Exploring Operation: 37-2=35, Resulting Numbers: [6, 35]
Generated Node #0,2,2: 52:[6, 35] Operation: 37-2=35
Exploring Operation: 6-2=4, Resulting Numbers: [37, 4]
Generated Node #0,2,3: 52:[37, 4] Operation: 6-2=4
Moving to Node #0,0
Current State: 52:[6, 39, 4], Operations: ['41-37=4']
Exploring Operation: 39-6=33, Resulting Numbers: [4, 33]
Generated Node #0,0,0: 52:[4, 33] Operation: 39-6=33
Exploring Operation: 39-4=35, Resulting Numbers: [6, 35]
Generated Node #0,0,1: 52:[6, 35] Operation: 39-4=35
Exploring Operation: 39+4=43, Resulting Numbers: [6, 43]
Generated Node #0,0,2: 52:[6, 43] Operation: 39+4=43
Exploring Operation: 6+39=45, Resulting Numbers: [4, 45]
Generated Node #0,0,3: 52:[4, 45] Operation: 6+39=45
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[4, 33], Operations: ['41-37=4', '39-6=33']
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,52 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,52 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 #0,0,3
Current State: 52:[4, 45], Operations: ['41-37=4', '6+39=45']
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,52 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,52 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 #0,0,1
Current State: 52:[6, 35], Operations: ['41-37=4', '39-4=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,52 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 #0,0,2
Current State: 52:[6, 43], Operations: ['41-37=4', '39+4=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,52 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: 52:[39, 37, 47], Operations: ['41+6=47']
Exploring Operation: 47-37=10, Resulting Numbers: [39, 10]
Generated Node #0,3,0: 52:[39, 10] Operation: 47-37=10
Exploring Operation: 39+37=76, Resulting Numbers: [47, 76]
Generated Node #0,3,1: 52:[47, 76] Operation: 39+37=76
Exploring Operation: 39-37=2, Resulting Numbers: [47, 2]
Generated Node #0,3,2: 52:[47, 2] Operation: 39-37=2
Exploring Operation: 47-39=8, Resulting Numbers: [37, 8]
Generated Node #0,3,3: 52:[37, 8] Operation: 47-39=8
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 52:[47, 2], Operations: ['41+6=47', '39-37=2']
Exploring Operation: 47+2=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 47*2=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 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 #0,3,3
Current State: 52:[37, 8], Operations: ['41+6=47', '47-39=8']
Exploring Operation: 37*8=296, Resulting Numbers: [296]
296,52 unequal: No Solution
Exploring Operation: 37-8=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 37+8=45, Resulting Numbers: [45]
45,52 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 #0,3,0
Current State: 52:[39, 10], Operations: ['41+6=47', '47-37=10']
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 39*10=390, Resulting Numbers: [390]
390,52 unequal: No Solution
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,52 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 #0,3,1
Current State: 52:[47, 76], Operations: ['41+6=47', '39+37=76']
Exploring Operation: 47+76=123, Resulting Numbers: [123]
123,52 unequal: No Solution
Exploring Operation: 47*76=3572, Resulting Numbers: [3572]
3572,52 unequal: No Solution
Exploring Operation: 76-47=29, Resulting Numbers: [29]
29,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,3
Current State: 52:[2, 47], Operations: ['39-37=2', '41+6=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,52 unequal: No Solution
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,52 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Moving to Node #0,2,0
Current State: 52:[2, 31], Operations: ['41-39=2', '37-6=31']
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 2*31=62, Resulting Numbers: [62]
62,52 unequal: No Solution
Exploring Operation: 2+31=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[2, 43], Operations: ['41-39=2', '6+37=43']
Exploring Operation: 2*43=86, Resulting Numbers: [86]
86,52 unequal: No Solution
Exploring Operation: 2+43=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 43-2=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[2, 35], Operations: ['39-37=2', '41-6=35']
Exploring Operation: 35-2=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,52 unequal: No Solution
Exploring Operation: 2+35=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[41, 4], Operations: ['39-37=2', '6-2=4']
Exploring Operation: 41+4=45, Resulting Numbers: [45]
45,52 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 41*4=164, Resulting Numbers: [164]
164,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[6, 35], Operations: ['41-39=2', '37-2=35']
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,52 unequal: No Solution
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[37, 4], Operations: ['41-39=2', '6-2=4']
Exploring Operation: 37+4=41, Resulting Numbers: [41]
41,52 unequal: No Solution
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,52 unequal: No Solution
Exploring Operation: 37*4=148, Resulting Numbers: [148]
148,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[6, 43], Operations: ['39-37=2', '41+2=43']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,52 unequal: No Solution
Exploring Operation: 6*43=258, Resulting Numbers: [258]
258,52 unequal: No Solution
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,52 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
50,
97,
3,
2
] | 46 | [
"97-50=47",
"3-2=1",
"47-1=46"
] | Current State: 46:[50, 97, 3, 2], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [3, 2, 47]
Generated Node #2: [3, 2, 47] from Operation: 97-50=47
Current State: 46:[3, 2, 47], Operations: ['97-50=47']
Exploring Operation: 3-2=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 3-2=1
Current State: 46:[47, 1], Operations: ['97-50=47', '3-2=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[50, 97, 3, 2], Operations: []
Exploring Operation: 50-3=47, Resulting Numbers: [97, 2, 47]
Generated Node #0,0: 46:[97, 2, 47] Operation: 50-3=47
Exploring Operation: 97-3=94, Resulting Numbers: [50, 2, 94]
Generated Node #0,1: 46:[50, 2, 94] Operation: 97-3=94
Exploring Operation: 97-50=47, Resulting Numbers: [3, 2, 47]
Generated Node #0,2: 46:[3, 2, 47] Operation: 97-50=47
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[3, 2, 47], Operations: ['97-50=47']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,2,0: 46:[2, 44] Operation: 47-3=44
Exploring Operation: 3-2=1, Resulting Numbers: [47, 1]
Generated Node #0,2,1: 46:[47, 1] Operation: 3-2=1
Exploring Operation: 47-2=45, Resulting Numbers: [3, 45]
Generated Node #0,2,2: 46:[3, 45] Operation: 47-2=45
Moving to Node #0,2,0
Current State: 46:[2, 44], Operations: ['97-50=47', '47-3=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[50, 97, 3, 2], Operations: []
Exploring Operation: 97-50=47, Resulting Numbers: [3, 2, 47]
Generated Node #0,2: 46:[3, 2, 47] Operation: 97-50=47
Moving to Node #0,2
Current State: 46:[3, 2, 47], Operations: ['97-50=47']
Exploring Operation: 47-3=44, Resulting Numbers: [2, 44]
Generated Node #0,2,0: 46:[2, 44] Operation: 47-3=44
Moving to Node #0,2,0
Current State: 46:[2, 44], Operations: ['97-50=47', '47-3=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
24,
21,
31,
24
] | 38 | [
"24+21=45",
"31-24=7",
"45-7=38"
] | Current State: 38:[24, 21, 31, 24], Operations: []
Exploring Operation: 24+21=45, Resulting Numbers: [31, 45]
Generated Node #2: [31, 45] from Operation: 24+21=45
Current State: 38:[31, 45], Operations: ['24+21=45']
Exploring Operation: 31-24=7, Resulting Numbers: [45, 7]
Generated Node #3: [45, 7] from Operation: 31-24=7
Current State: 38:[45, 7], Operations: ['24+21=45', '31-24=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[24, 21, 31, 24], Operations: []
Exploring Operation: 24/24=1, Resulting Numbers: [21, 31, 1]
Generated Node #0,0: 38:[21, 31, 1] Operation: 24/24=1
Exploring Operation: 31-24=7, Resulting Numbers: [21, 24, 7]
Generated Node #0,1: 38:[21, 24, 7] Operation: 31-24=7
Exploring Operation: 24-24=0, Resulting Numbers: [21, 31, 0]
Generated Node #0,2: 38:[21, 31, 0] Operation: 24-24=0
Start Sub Search at level 1: Moving to Node #0,0
Current State: 38:[21, 31, 1], Operations: ['24/24=1']
Exploring Operation: 31+1=32, Resulting Numbers: [21, 32]
Generated Node #0,0,0: 38:[21, 32] Operation: 31+1=32
Exploring Operation: 21-1=20, Resulting Numbers: [31, 20]
Generated Node #0,0,1: 38:[31, 20] Operation: 21-1=20
Exploring Operation: 31-21=10, Resulting Numbers: [1, 10]
Generated Node #0,0,2: 38:[1, 10] Operation: 31-21=10
Moving to Node #0,0,0
Current State: 38:[21, 32], Operations: ['24/24=1', '31+1=32']
Exploring Operation: 21*32=672, Resulting Numbers: [672]
672,38 unequal: No Solution
Exploring Operation: 32-21=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 21+32=53, Resulting Numbers: [53]
53,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[31, 20], Operations: ['24/24=1', '21-1=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,38 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[1, 10], Operations: ['24/24=1', '31-21=10']
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 1+10=11, Resulting Numbers: [11]
11,38 unequal: No Solution
Exploring Operation: 1*10=10, Resulting Numbers: [10]
10,38 unequal: No Solution
No 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: 38:[21, 31, 0], Operations: ['24-24=0']
Exploring Operation: 21+0=21, Resulting Numbers: [31, 21]
Generated Node #0,2,0: 38:[31, 21] Operation: 21+0=21
Exploring Operation: 31*0=0, Resulting Numbers: [21, 0]
Generated Node #0,2,1: 38:[21, 0] Operation: 31*0=0
Exploring Operation: 21*0=0, Resulting Numbers: [31, 0]
Generated Node #0,2,2: 38:[31, 0] Operation: 21*0=0
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 38:[21, 0], Operations: ['24-24=0', '31*0=0']
Exploring Operation: 21-0=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 21+0=21, Resulting Numbers: [21]
21,38 unequal: No Solution
Exploring Operation: 21*0=0, Resulting Numbers: [0]
0,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 38:[31, 21], Operations: ['24-24=0', '21+0=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,38 unequal: No Solution
Exploring Operation: 31*21=651, Resulting Numbers: [651]
651,38 unequal: No Solution
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 38:[31, 0], Operations: ['24-24=0', '21*0=0']
Exploring Operation: 31+0=31, Resulting Numbers: [31]
31,38 unequal: No Solution
Exploring Operation: 31*0=0, Resulting Numbers: [0]
0,38 unequal: No Solution
Exploring Operation: 31-0=31, Resulting Numbers: [31]
31,38 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: 38:[21, 24, 7], Operations: ['31-24=7']
Exploring Operation: 24-21=3, Resulting Numbers: [7, 3]
Generated Node #0,1,0: 38:[7, 3] Operation: 24-21=3
Exploring Operation: 24-7=17, Resulting Numbers: [21, 17]
Generated Node #0,1,1: 38:[21, 17] Operation: 24-7=17
Exploring Operation: 21/7=3, Resulting Numbers: [24, 3]
Generated Node #0,1,2: 38:[24, 3] Operation: 21/7=3
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[21, 17], Operations: ['31-24=7', '24-7=17']
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,38 unequal: No Solution
Exploring Operation: 21*17=357, Resulting Numbers: [357]
357,38 unequal: No Solution
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[24, 21, 31, 24], Operations: []
Exploring Operation: 31-24=7, Resulting Numbers: [21, 24, 7]
Generated Node #0,1: 38:[21, 24, 7] Operation: 31-24=7
Moving to Node #0,1
Current State: 38:[21, 24, 7], Operations: ['31-24=7']
Exploring Operation: 24-7=17, Resulting Numbers: [21, 17]
Generated Node #0,1,1: 38:[21, 17] Operation: 24-7=17
Moving to Node #0,1,1
Current State: 38:[21, 17], Operations: ['31-24=7', '24-7=17']
Exploring Operation: 21+17=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967882 | hs_3 | mult_heuristic |
[
88,
44,
74,
91
] | 19 | [
"88/44=2",
"91-74=17",
"2+17=19"
] | Current State: 19:[88, 44, 74, 91], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [74, 91, 2]
Generated Node #2: [74, 91, 2] from Operation: 88/44=2
Current State: 19:[74, 91, 2], Operations: ['88/44=2']
Exploring Operation: 91-74=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 91-74=17
Current State: 19:[2, 17], Operations: ['88/44=2', '91-74=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[88, 44, 74, 91], Operations: []
Exploring Operation: 91-88=3, Resulting Numbers: [44, 74, 3]
Generated Node #0,0: 19:[44, 74, 3] Operation: 91-88=3
Moving to Node #0,0
Current State: 19:[44, 74, 3], Operations: ['91-88=3']
Exploring Operation: 74-44=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 19:[3, 30] Operation: 74-44=30
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[3, 30], Operations: ['91-88=3', '74-44=30']
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
86,
27,
18
] | 83 | [
"27+18=45",
"45/15=3",
"86-3=83"
] | Current State: 83:[15, 86, 27, 18], Operations: []
Exploring Operation: 27+18=45, Resulting Numbers: [15, 86, 45]
Generated Node #2: [15, 86, 45] from Operation: 27+18=45
Current State: 83:[15, 86, 45], Operations: ['27+18=45']
Exploring Operation: 45/15=3, Resulting Numbers: [86, 3]
Generated Node #3: [86, 3] from Operation: 45/15=3
Current State: 83:[86, 3], Operations: ['27+18=45', '45/15=3']
Exploring Operation: 86-3=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[15, 86, 27, 18], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [86, 18, 42]
Generated Node #0,0: 83:[86, 18, 42] Operation: 15+27=42
Exploring Operation: 15+18=33, Resulting Numbers: [86, 27, 33]
Generated Node #0,1: 83:[86, 27, 33] Operation: 15+18=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[86, 18, 42], Operations: ['15+27=42']
Exploring Operation: 86-18=68, Resulting Numbers: [42, 68]
Generated Node #0,0,0: 83:[42, 68] Operation: 86-18=68
Exploring Operation: 18+42=60, Resulting Numbers: [86, 60]
Generated Node #0,0,1: 83:[86, 60] Operation: 18+42=60
Moving to Node #0,0,1
Current State: 83:[86, 60], Operations: ['15+27=42', '18+42=60']
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 86+60=146, Resulting Numbers: [146]
146,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[42, 68], Operations: ['15+27=42', '86-18=68']
Exploring Operation: 42+68=110, Resulting Numbers: [110]
110,83 unequal: No Solution
Exploring Operation: 68-42=26, Resulting Numbers: [26]
26,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[86, 27, 33], Operations: ['15+18=33']
Exploring Operation: 27+33=60, Resulting Numbers: [86, 60]
Generated Node #0,1,0: 83:[86, 60] Operation: 27+33=60
Exploring Operation: 86-27=59, Resulting Numbers: [33, 59]
Generated Node #0,1,1: 83:[33, 59] Operation: 86-27=59
Moving to Node #0,1,0
Current State: 83:[86, 60], Operations: ['15+18=33', '27+33=60']
Exploring Operation: 86-60=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 86+60=146, Resulting Numbers: [146]
146,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[33, 59], Operations: ['15+18=33', '86-27=59']
Exploring Operation: 59-33=26, Resulting Numbers: [26]
26,83 unequal: No Solution
Exploring Operation: 33+59=92, Resulting Numbers: [92]
92,83 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 |
[
2,
54,
59,
30
] | 62 | [
"54/2=27",
"59+30=89",
"89-27=62"
] | Current State: 62:[2, 54, 59, 30], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [59, 30, 27]
Generated Node #2: [59, 30, 27] from Operation: 54/2=27
Current State: 62:[59, 30, 27], Operations: ['54/2=27']
Exploring Operation: 59+30=89, Resulting Numbers: [27, 89]
Generated Node #3: [27, 89] from Operation: 59+30=89
Current State: 62:[27, 89], Operations: ['54/2=27', '59+30=89']
Exploring Operation: 89-27=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[2, 54, 59, 30], Operations: []
Exploring Operation: 59-54=5, Resulting Numbers: [2, 30, 5]
Generated Node #0,0: 62:[2, 30, 5] Operation: 59-54=5
Moving to Node #0,0
Current State: 62:[2, 30, 5], Operations: ['59-54=5']
Exploring Operation: 5-2=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 62:[30, 3] Operation: 5-2=3
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[30, 3], Operations: ['59-54=5', '5-2=3']
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,62 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 |
[
50,
31,
90,
5
] | 59 | [
"50+90=140",
"140/5=28",
"31+28=59"
] | Current State: 59:[50, 31, 90, 5], Operations: []
Exploring Operation: 50+90=140, Resulting Numbers: [31, 5, 140]
Generated Node #2: [31, 5, 140] from Operation: 50+90=140
Current State: 59:[31, 5, 140], Operations: ['50+90=140']
Exploring Operation: 140/5=28, Resulting Numbers: [31, 28]
Generated Node #3: [31, 28] from Operation: 140/5=28
Current State: 59:[31, 28], Operations: ['50+90=140', '140/5=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[50, 31, 90, 5], Operations: []
Exploring Operation: 50+5=55, Resulting Numbers: [31, 90, 55]
Generated Node #0,0: 59:[31, 90, 55] Operation: 50+5=55
Moving to Node #0,0
Current State: 59:[31, 90, 55], Operations: ['50+5=55']
Exploring Operation: 90-31=59, Resulting Numbers: [55, 59]
Generated Node #0,0,0: 59:[55, 59] Operation: 90-31=59
Moving to Node #0,0,0
Current State: 59:[55, 59], Operations: ['50+5=55', '90-31=59']
Exploring Operation: 55+59=114, Resulting Numbers: [114]
114,59 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
71,
3,
2,
88
] | 30 | [
"71+3=74",
"88/2=44",
"74-44=30"
] | Current State: 30:[71, 3, 2, 88], Operations: []
Exploring Operation: 71+3=74, Resulting Numbers: [2, 88, 74]
Generated Node #2: [2, 88, 74] from Operation: 71+3=74
Current State: 30:[2, 88, 74], Operations: ['71+3=74']
Exploring Operation: 88/2=44, Resulting Numbers: [74, 44]
Generated Node #3: [74, 44] from Operation: 88/2=44
Current State: 30:[74, 44], Operations: ['71+3=74', '88/2=44']
Exploring Operation: 74-44=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[71, 3, 2, 88], Operations: []
Exploring Operation: 88-3=85, Resulting Numbers: [71, 2, 85]
Generated Node #0,0: 30:[71, 2, 85] Operation: 88-3=85
Exploring Operation: 88-71=17, Resulting Numbers: [3, 2, 17]
Generated Node #0,1: 30:[3, 2, 17] Operation: 88-71=17
Exploring Operation: 88/2=44, Resulting Numbers: [71, 3, 44]
Generated Node #0,2: 30:[71, 3, 44] Operation: 88/2=44
Exploring Operation: 71-2=69, Resulting Numbers: [3, 88, 69]
Generated Node #0,3: 30:[3, 88, 69] Operation: 71-2=69
Exploring Operation: 71-3=68, Resulting Numbers: [2, 88, 68]
Generated Node #0,4: 30:[2, 88, 68] Operation: 71-3=68
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[3, 2, 17], Operations: ['88-71=17']
Exploring Operation: 3-2=1, Resulting Numbers: [17, 1]
Generated Node #0,1,0: 30:[17, 1] Operation: 3-2=1
Exploring Operation: 3*2=6, Resulting Numbers: [17, 6]
Generated Node #0,1,1: 30:[17, 6] Operation: 3*2=6
Exploring Operation: 3+2=5, Resulting Numbers: [17, 5]
Generated Node #0,1,2: 30:[17, 5] Operation: 3+2=5
Exploring Operation: 17-3=14, Resulting Numbers: [2, 14]
Generated Node #0,1,3: 30:[2, 14] Operation: 17-3=14
Exploring Operation: 17-2=15, Resulting Numbers: [3, 15]
Generated Node #0,1,4: 30:[3, 15] Operation: 17-2=15
Moving to Node #0,1,4
Current State: 30:[3, 15], Operations: ['88-71=17', '17-2=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,30 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,30 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Moving to Node #0,1,3
Current State: 30:[2, 14], Operations: ['88-71=17', '17-3=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,30 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,30 unequal: No Solution
Moving to Node #0,1,1
Current State: 30:[17, 6], Operations: ['88-71=17', '3*2=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,30 unequal: No Solution
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,30 unequal: No Solution
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,30 unequal: No Solution
Moving to Node #0,1,2
Current State: 30:[17, 5], Operations: ['88-71=17', '3+2=5']
Exploring Operation: 17*5=85, Resulting Numbers: [85]
85,30 unequal: No Solution
Exploring Operation: 17-5=12, Resulting Numbers: [12]
12,30 unequal: No Solution
Exploring Operation: 17+5=22, Resulting Numbers: [22]
22,30 unequal: No Solution
Moving to Node #0,1,0
Current State: 30:[17, 1], Operations: ['88-71=17', '3-2=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,30 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,30 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,30 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 30:[71, 3, 44], Operations: ['88/2=44']
Exploring Operation: 3+44=47, Resulting Numbers: [71, 47]
Generated Node #0,2,0: 30:[71, 47] Operation: 3+44=47
Exploring Operation: 44-3=41, Resulting Numbers: [71, 41]
Generated Node #0,2,1: 30:[71, 41] Operation: 44-3=41
Exploring Operation: 71+3=74, Resulting Numbers: [44, 74]
Generated Node #0,2,2: 30:[44, 74] Operation: 71+3=74
Exploring Operation: 71-44=27, Resulting Numbers: [3, 27]
Generated Node #0,2,3: 30:[3, 27] Operation: 71-44=27
Exploring Operation: 71-3=68, Resulting Numbers: [44, 68]
Generated Node #0,2,4: 30:[44, 68] Operation: 71-3=68
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 30:[3, 27], Operations: ['88/2=44', '71-44=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,30 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,30 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[71, 3, 2, 88], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [71, 3, 44]
Generated Node #0,2: 30:[71, 3, 44] Operation: 88/2=44
Moving to Node #0,2
Current State: 30:[71, 3, 44], Operations: ['88/2=44']
Exploring Operation: 71-44=27, Resulting Numbers: [3, 27]
Generated Node #0,2,3: 30:[3, 27] Operation: 71-44=27
Moving to Node #0,2,3
Current State: 30:[3, 27], Operations: ['88/2=44', '71-44=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.96441 | hs_5 | sum_heuristic |
[
84,
35,
40,
8
] | 72 | [
"84-35=49",
"49-40=9",
"8*9=72"
] | Current State: 72:[84, 35, 40, 8], Operations: []
Exploring Operation: 84-35=49, Resulting Numbers: [40, 8, 49]
Generated Node #2: [40, 8, 49] from Operation: 84-35=49
Current State: 72:[40, 8, 49], Operations: ['84-35=49']
Exploring Operation: 49-40=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 49-40=9
Current State: 72:[8, 9], Operations: ['84-35=49', '49-40=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[84, 35, 40, 8], Operations: []
Exploring Operation: 40-35=5, Resulting Numbers: [84, 8, 5]
Generated Node #0,0: 72:[84, 8, 5] Operation: 40-35=5
Exploring Operation: 84-40=44, Resulting Numbers: [35, 8, 44]
Generated Node #0,1: 72:[35, 8, 44] Operation: 84-40=44
Exploring Operation: 84-8=76, Resulting Numbers: [35, 40, 76]
Generated Node #0,2: 72:[35, 40, 76] Operation: 84-8=76
Exploring Operation: 40/8=5, Resulting Numbers: [84, 35, 5]
Generated Node #0,3: 72:[84, 35, 5] Operation: 40/8=5
Exploring Operation: 35+40=75, Resulting Numbers: [84, 8, 75]
Generated Node #0,4: 72:[84, 8, 75] Operation: 35+40=75
Moving to Node #0,1
Current State: 72:[35, 8, 44], Operations: ['84-40=44']
Exploring Operation: 44-35=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 72:[8, 9] Operation: 44-35=9
Exploring Operation: 35+44=79, Resulting Numbers: [8, 79]
Generated Node #0,1,1: 72:[8, 79] Operation: 35+44=79
Exploring Operation: 35-8=27, Resulting Numbers: [44, 27]
Generated Node #0,1,2: 72:[44, 27] Operation: 35-8=27
Exploring Operation: 44-8=36, Resulting Numbers: [35, 36]
Generated Node #0,1,3: 72:[35, 36] Operation: 44-8=36
Exploring Operation: 35+8=43, Resulting Numbers: [44, 43]
Generated Node #0,1,4: 72:[44, 43] Operation: 35+8=43
Moving to Node #0,2
Current State: 72:[35, 40, 76], Operations: ['84-8=76']
Exploring Operation: 76-35=41, Resulting Numbers: [40, 41]
Generated Node #0,2,0: 72:[40, 41] Operation: 76-35=41
Exploring Operation: 40-35=5, Resulting Numbers: [76, 5]
Generated Node #0,2,1: 72:[76, 5] Operation: 40-35=5
Exploring Operation: 35+40=75, Resulting Numbers: [76, 75]
Generated Node #0,2,2: 72:[76, 75] Operation: 35+40=75
Exploring Operation: 35+76=111, Resulting Numbers: [40, 111]
Generated Node #0,2,3: 72:[40, 111] Operation: 35+76=111
Exploring Operation: 76-40=36, Resulting Numbers: [35, 36]
Generated Node #0,2,4: 72:[35, 36] Operation: 76-40=36
Moving to Node #0,0
Current State: 72:[84, 8, 5], Operations: ['40-35=5']
Exploring Operation: 8-5=3, Resulting Numbers: [84, 3]
Generated Node #0,0,0: 72:[84, 3] Operation: 8-5=3
Exploring Operation: 8*5=40, Resulting Numbers: [84, 40]
Generated Node #0,0,1: 72:[84, 40] Operation: 8*5=40
Exploring Operation: 84-8=76, Resulting Numbers: [5, 76]
Generated Node #0,0,2: 72:[5, 76] Operation: 84-8=76
Exploring Operation: 84-5=79, Resulting Numbers: [8, 79]
Generated Node #0,0,3: 72:[8, 79] Operation: 84-5=79
Exploring Operation: 8+5=13, Resulting Numbers: [84, 13]
Generated Node #0,0,4: 72:[84, 13] Operation: 8+5=13
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 72:[5, 76], Operations: ['40-35=5', '84-8=76']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Exploring Operation: 5+76=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 5*76=380, Resulting Numbers: [380]
380,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 72:[8, 79], Operations: ['40-35=5', '84-5=79']
Exploring Operation: 8*79=632, Resulting Numbers: [632]
632,72 unequal: No Solution
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,72 unequal: No Solution
Exploring Operation: 79-8=71, Resulting Numbers: [71]
71,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 72:[84, 3], Operations: ['40-35=5', '8-5=3']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,72 unequal: No Solution
Exploring Operation: 84*3=252, Resulting Numbers: [252]
252,72 unequal: No Solution
Exploring Operation: 84/3=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 84+3=87, Resulting Numbers: [87]
87,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 72:[84, 13], Operations: ['40-35=5', '8+5=13']
Exploring Operation: 84-13=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Exploring Operation: 84+13=97, Resulting Numbers: [97]
97,72 unequal: No Solution
Exploring Operation: 84*13=1092, Resulting Numbers: [1092]
1092,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[84, 40], Operations: ['40-35=5', '8*5=40']
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,72 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,72 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,72 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: 72:[84, 35, 5], Operations: ['40/8=5']
Exploring Operation: 84-35=49, Resulting Numbers: [5, 49]
Generated Node #0,3,0: 72:[5, 49] Operation: 84-35=49
Exploring Operation: 84-5=79, Resulting Numbers: [35, 79]
Generated Node #0,3,1: 72:[35, 79] Operation: 84-5=79
Exploring Operation: 84+5=89, Resulting Numbers: [35, 89]
Generated Node #0,3,2: 72:[35, 89] Operation: 84+5=89
Exploring Operation: 35/5=7, Resulting Numbers: [84, 7]
Generated Node #0,3,3: 72:[84, 7] Operation: 35/5=7
Exploring Operation: 35+5=40, Resulting Numbers: [84, 40]
Generated Node #0,3,4: 72:[84, 40] Operation: 35+5=40
Moving to Node #0,4
Current State: 72:[84, 8, 75], Operations: ['35+40=75']
Exploring Operation: 84+8=92, Resulting Numbers: [75, 92]
Generated Node #0,4,0: 72:[75, 92] Operation: 84+8=92
Exploring Operation: 8+75=83, Resulting Numbers: [84, 83]
Generated Node #0,4,1: 72:[84, 83] Operation: 8+75=83
Exploring Operation: 75-8=67, Resulting Numbers: [84, 67]
Generated Node #0,4,2: 72:[84, 67] Operation: 75-8=67
Exploring Operation: 84-8=76, Resulting Numbers: [75, 76]
Generated Node #0,4,3: 72:[75, 76] Operation: 84-8=76
Exploring Operation: 84-75=9, Resulting Numbers: [8, 9]
Generated Node #0,4,4: 72:[8, 9] Operation: 84-75=9
Moving to Node #0,1,0
Current State: 72:[8, 9], Operations: ['84-40=44', '44-35=9']
Exploring Operation: 8+9=17, Resulting Numbers: [17]
17,72 unequal: No Solution
Exploring Operation: 9-8=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[84, 35, 40, 8], Operations: []
Exploring Operation: 84-40=44, Resulting Numbers: [35, 8, 44]
Generated Node #0,1: 72:[35, 8, 44] Operation: 84-40=44
Moving to Node #0,1
Current State: 72:[35, 8, 44], Operations: ['84-40=44']
Exploring Operation: 44-35=9, Resulting Numbers: [8, 9]
Generated Node #0,1,0: 72:[8, 9] Operation: 44-35=9
Moving to Node #0,1,0
Current State: 72:[8, 9], Operations: ['84-40=44', '44-35=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.953993 | hs_5 | sum_heuristic |
[
64,
83,
65,
34
] | 80 | [
"83-64=19",
"65+34=99",
"99-19=80"
] | Current State: 80:[64, 83, 65, 34], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [65, 34, 19]
Generated Node #2: [65, 34, 19] from Operation: 83-64=19
Current State: 80:[65, 34, 19], Operations: ['83-64=19']
Exploring Operation: 65+34=99, Resulting Numbers: [19, 99]
Generated Node #3: [19, 99] from Operation: 65+34=99
Current State: 80:[19, 99], Operations: ['83-64=19', '65+34=99']
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[64, 83, 65, 34], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [65, 34, 19]
Generated Node #0,0: 80:[65, 34, 19] Operation: 83-64=19
Exploring Operation: 64-34=30, Resulting Numbers: [83, 65, 30]
Generated Node #0,1: 80:[83, 65, 30] Operation: 64-34=30
Exploring Operation: 65-64=1, Resulting Numbers: [83, 34, 1]
Generated Node #0,2: 80:[83, 34, 1] Operation: 65-64=1
Exploring Operation: 83-65=18, Resulting Numbers: [64, 34, 18]
Generated Node #0,3: 80:[64, 34, 18] Operation: 83-65=18
Exploring Operation: 65-34=31, Resulting Numbers: [64, 83, 31]
Generated Node #0,4: 80:[64, 83, 31] Operation: 65-34=31
Start Sub Search at level 1: Moving to Node #0,2
Current State: 80:[83, 34, 1], Operations: ['65-64=1']
Exploring Operation: 34+1=35, Resulting Numbers: [83, 35]
Generated Node #0,2,0: 80:[83, 35] Operation: 34+1=35
Exploring Operation: 34*1=34, Resulting Numbers: [83, 34]
Generated Node #0,2,1: 80:[83, 34] Operation: 34*1=34
Exploring Operation: 83-1=82, Resulting Numbers: [34, 82]
Generated Node #0,2,2: 80:[34, 82] Operation: 83-1=82
Exploring Operation: 83*1=83, Resulting Numbers: [34, 83]
Generated Node #0,2,3: 80:[34, 83] Operation: 83*1=83
Exploring Operation: 83/1=83, Resulting Numbers: [34, 83]
Generated Node #0,2,4: 80:[34, 83] Operation: 83/1=83
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 80:[83, 35], Operations: ['65-64=1', '34+1=35']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 83*35=2905, Resulting Numbers: [2905]
2905,80 unequal: No Solution
Exploring Operation: 83+35=118, Resulting Numbers: [118]
118,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 80:[34, 82], Operations: ['65-64=1', '83-1=82']
Exploring Operation: 34*82=2788, Resulting Numbers: [2788]
2788,80 unequal: No Solution
Exploring Operation: 34+82=116, Resulting Numbers: [116]
116,80 unequal: No Solution
Exploring Operation: 82-34=48, Resulting Numbers: [48]
48,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 80:[83, 34], Operations: ['65-64=1', '34*1=34']
Exploring Operation: 83*34=2822, Resulting Numbers: [2822]
2822,80 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 83+34=117, Resulting Numbers: [117]
117,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 80:[34, 83], Operations: ['65-64=1', '83*1=83']
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Exploring Operation: 34*83=2822, Resulting Numbers: [2822]
2822,80 unequal: No Solution
Exploring Operation: 34+83=117, Resulting Numbers: [117]
117,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 80:[34, 83], Operations: ['65-64=1', '83/1=83']
Exploring Operation: 34+83=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 34*83=2822, Resulting Numbers: [2822]
2822,80 unequal: No Solution
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,80 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 80:[65, 34, 19], Operations: ['83-64=19']
Exploring Operation: 65+34=99, Resulting Numbers: [19, 99]
Generated Node #0,0,0: 80:[19, 99] Operation: 65+34=99
Exploring Operation: 65+19=84, Resulting Numbers: [34, 84]
Generated Node #0,0,1: 80:[34, 84] Operation: 65+19=84
Exploring Operation: 34-19=15, Resulting Numbers: [65, 15]
Generated Node #0,0,2: 80:[65, 15] Operation: 34-19=15
Exploring Operation: 65-19=46, Resulting Numbers: [34, 46]
Generated Node #0,0,3: 80:[34, 46] Operation: 65-19=46
Exploring Operation: 65-34=31, Resulting Numbers: [19, 31]
Generated Node #0,0,4: 80:[19, 31] Operation: 65-34=31
Moving to Node #0,0,1
Current State: 80:[34, 84], Operations: ['83-64=19', '65+19=84']
Exploring Operation: 84-34=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Exploring Operation: 34*84=2856, Resulting Numbers: [2856]
2856,80 unequal: No Solution
Exploring Operation: 34+84=118, Resulting Numbers: [118]
118,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[19, 31], Operations: ['83-64=19', '65-34=31']
Exploring Operation: 19*31=589, Resulting Numbers: [589]
589,80 unequal: No Solution
Exploring Operation: 31-19=12, Resulting Numbers: [12]
12,80 unequal: No Solution
Exploring Operation: 19+31=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[34, 46], Operations: ['83-64=19', '65-19=46']
Exploring Operation: 34*46=1564, Resulting Numbers: [1564]
1564,80 unequal: No Solution
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[64, 83, 65, 34], Operations: []
Exploring Operation: 83-64=19, Resulting Numbers: [65, 34, 19]
Generated Node #0,0: 80:[65, 34, 19] Operation: 83-64=19
Moving to Node #0,0
Current State: 80:[65, 34, 19], Operations: ['83-64=19']
Exploring Operation: 65-19=46, Resulting Numbers: [34, 46]
Generated Node #0,0,3: 80:[34, 46] Operation: 65-19=46
Moving to Node #0,0,3
Current State: 80:[34, 46], Operations: ['83-64=19', '65-19=46']
Exploring Operation: 34+46=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
49,
12,
41,
20
] | 64 | [
"49-41=8",
"20-12=8",
"8*8=64"
] | Current State: 64:[49, 12, 41, 20], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [12, 20, 8]
Generated Node #2: [12, 20, 8] from Operation: 49-41=8
Current State: 64:[12, 20, 8], Operations: ['49-41=8']
Exploring Operation: 20-12=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 20-12=8
Current State: 64:[8, 8], Operations: ['49-41=8', '20-12=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[49, 12, 41, 20], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [12, 20, 8]
Generated Node #0,0: 64:[12, 20, 8] Operation: 49-41=8
Moving to Node #0,0
Current State: 64:[12, 20, 8], Operations: ['49-41=8']
Exploring Operation: 12+20=32, Resulting Numbers: [8, 32]
Generated Node #0,0,0: 64:[8, 32] Operation: 12+20=32
Moving to Node #0,0,0
Current State: 64:[8, 32], Operations: ['49-41=8', '12+20=32']
Exploring Operation: 32/8=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
69,
14,
22,
24
] | 46 | [
"69*24=1656",
"14+22=36",
"1656/36=46"
] | Current State: 46:[69, 14, 22, 24], Operations: []
Exploring Operation: 69*24=1656, Resulting Numbers: [14, 22, 1656]
Generated Node #2: [14, 22, 1656] from Operation: 69*24=1656
Current State: 46:[14, 22, 1656], Operations: ['69*24=1656']
Exploring Operation: 14+22=36, Resulting Numbers: [1656, 36]
Generated Node #3: [1656, 36] from Operation: 14+22=36
Current State: 46:[1656, 36], Operations: ['69*24=1656', '14+22=36']
Exploring Operation: 1656/36=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[69, 14, 22, 24], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [14, 22, 45]
Generated Node #0,0: 46:[14, 22, 45] Operation: 69-24=45
Exploring Operation: 22-14=8, Resulting Numbers: [69, 24, 8]
Generated Node #0,1: 46:[69, 24, 8] Operation: 22-14=8
Exploring Operation: 69-22=47, Resulting Numbers: [14, 24, 47]
Generated Node #0,2: 46:[14, 24, 47] Operation: 69-22=47
Exploring Operation: 69-14=55, Resulting Numbers: [22, 24, 55]
Generated Node #0,3: 46:[22, 24, 55] Operation: 69-14=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[14, 22, 45], Operations: ['69-24=45']
Exploring Operation: 45-22=23, Resulting Numbers: [14, 23]
Generated Node #0,0,0: 46:[14, 23] Operation: 45-22=23
Exploring Operation: 22-14=8, Resulting Numbers: [45, 8]
Generated Node #0,0,1: 46:[45, 8] Operation: 22-14=8
Exploring Operation: 45-14=31, Resulting Numbers: [22, 31]
Generated Node #0,0,2: 46:[22, 31] Operation: 45-14=31
Exploring Operation: 14+22=36, Resulting Numbers: [45, 36]
Generated Node #0,0,3: 46:[45, 36] Operation: 14+22=36
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 46:[45, 8], Operations: ['69-24=45', '22-14=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 45*8=360, Resulting Numbers: [360]
360,46 unequal: No Solution
Exploring Operation: 45+8=53, Resulting Numbers: [53]
53,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 46:[14, 23], Operations: ['69-24=45', '45-22=23']
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,46 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 46:[22, 31], Operations: ['69-24=45', '45-14=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 46:[45, 36], Operations: ['69-24=45', '14+22=36']
Exploring Operation: 45*36=1620, Resulting Numbers: [1620]
1620,46 unequal: No Solution
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,46 unequal: No Solution
Exploring Operation: 45-36=9, Resulting Numbers: [9]
9,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[14, 24, 47], Operations: ['69-22=47']
Exploring Operation: 14+24=38, Resulting Numbers: [47, 38]
Generated Node #0,2,0: 46:[47, 38] Operation: 14+24=38
Exploring Operation: 47-14=33, Resulting Numbers: [24, 33]
Generated Node #0,2,1: 46:[24, 33] Operation: 47-14=33
Exploring Operation: 24-14=10, Resulting Numbers: [47, 10]
Generated Node #0,2,2: 46:[47, 10] Operation: 24-14=10
Exploring Operation: 47-24=23, Resulting Numbers: [14, 23]
Generated Node #0,2,3: 46:[14, 23] Operation: 47-24=23
Moving to Node #0,2,0
Current State: 46:[47, 38], Operations: ['69-22=47', '14+24=38']
Exploring Operation: 47+38=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 47*38=1786, Resulting Numbers: [1786]
1786,46 unequal: No Solution
Exploring Operation: 47-38=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Moving to Node #0,2,3
Current State: 46:[14, 23], Operations: ['69-22=47', '47-24=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,46 unequal: No Solution
Moving to Node #0,2,2
Current State: 46:[47, 10], Operations: ['69-22=47', '24-14=10']
Exploring Operation: 47-10=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 47*10=470, Resulting Numbers: [470]
470,46 unequal: No Solution
Exploring Operation: 47+10=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Moving to Node #0,2,1
Current State: 46:[24, 33], Operations: ['69-22=47', '47-14=33']
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,46 unequal: No Solution
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 46:[22, 24, 55], Operations: ['69-14=55']
Exploring Operation: 22+24=46, Resulting Numbers: [55, 46]
Generated Node #0,3,0: 46:[55, 46] Operation: 22+24=46
Exploring Operation: 24-22=2, Resulting Numbers: [55, 2]
Generated Node #0,3,1: 46:[55, 2] Operation: 24-22=2
Exploring Operation: 55-24=31, Resulting Numbers: [22, 31]
Generated Node #0,3,2: 46:[22, 31] Operation: 55-24=31
Exploring Operation: 55-22=33, Resulting Numbers: [24, 33]
Generated Node #0,3,3: 46:[24, 33] Operation: 55-22=33
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 46:[55, 46], Operations: ['69-14=55', '22+24=46']
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,46 unequal: No Solution
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 55*46=2530, Resulting Numbers: [2530]
2530,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 46:[55, 2], Operations: ['69-14=55', '24-22=2']
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,46 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 46:[22, 31], Operations: ['69-14=55', '55-24=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,46 unequal: No Solution
Exploring Operation: 22*31=682, Resulting Numbers: [682]
682,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 46:[24, 33], Operations: ['69-14=55', '55-22=33']
Exploring Operation: 24+33=57, Resulting Numbers: [57]
57,46 unequal: No Solution
Exploring Operation: 24*33=792, Resulting Numbers: [792]
792,46 unequal: No Solution
Exploring Operation: 33-24=9, Resulting Numbers: [9]
9,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[69, 24, 8], Operations: ['22-14=8']
Exploring Operation: 24/8=3, Resulting Numbers: [69, 3]
Generated Node #0,1,0: 46:[69, 3] Operation: 24/8=3
Exploring Operation: 24-8=16, Resulting Numbers: [69, 16]
Generated Node #0,1,1: 46:[69, 16] Operation: 24-8=16
Exploring Operation: 69-8=61, Resulting Numbers: [24, 61]
Generated Node #0,1,2: 46:[24, 61] Operation: 69-8=61
Exploring Operation: 69-24=45, Resulting Numbers: [8, 45]
Generated Node #0,1,3: 46:[8, 45] Operation: 69-24=45
Moving to Node #0,1,3
Current State: 46:[8, 45], Operations: ['22-14=8', '69-24=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 8+45=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 8*45=360, Resulting Numbers: [360]
360,46 unequal: No Solution
Moving to Node #0,1,2
Current State: 46:[24, 61], Operations: ['22-14=8', '69-8=61']
Exploring Operation: 24*61=1464, Resulting Numbers: [1464]
1464,46 unequal: No Solution
Exploring Operation: 61-24=37, Resulting Numbers: [37]
37,46 unequal: No Solution
Exploring Operation: 24+61=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Moving to Node #0,1,0
Current State: 46:[69, 3], Operations: ['22-14=8', '24/8=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,46 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,46 unequal: No Solution
Exploring Operation: 69*3=207, Resulting Numbers: [207]
207,46 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Moving to Node #0,1,1
Current State: 46:[69, 16], Operations: ['22-14=8', '24-8=16']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,46 unequal: No Solution
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,46 unequal: No Solution
Exploring Operation: 69*16=1104, Resulting Numbers: [1104]
1104,46 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 |
[
84,
72,
94,
22
] | 84 | [
"84+72=156",
"94-22=72",
"156-72=84"
] | Current State: 84:[84, 72, 94, 22], Operations: []
Exploring Operation: 84+72=156, Resulting Numbers: [94, 22, 156]
Generated Node #2: [94, 22, 156] from Operation: 84+72=156
Current State: 84:[94, 22, 156], Operations: ['84+72=156']
Exploring Operation: 94-22=72, Resulting Numbers: [156, 72]
Generated Node #3: [156, 72] from Operation: 94-22=72
Current State: 84:[156, 72], Operations: ['84+72=156', '94-22=72']
Exploring Operation: 156-72=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[84, 72, 94, 22], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [84, 22, 22]
Generated Node #0,0: 84:[84, 22, 22] Operation: 94-72=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[84, 22, 22], Operations: ['94-72=22']
Exploring Operation: 22/22=1, Resulting Numbers: [84, 1]
Generated Node #0,0,0: 84:[84, 1] Operation: 22/22=1
Moving to Node #0,0,0
Current State: 84:[84, 1], Operations: ['94-72=22', '22/22=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[84, 72, 94, 22], Operations: []
Exploring Operation: 94-72=22, Resulting Numbers: [84, 22, 22]
Generated Node #0,0: 84:[84, 22, 22] Operation: 94-72=22
Moving to Node #0,0
Current State: 84:[84, 22, 22], Operations: ['94-72=22']
Exploring Operation: 22/22=1, Resulting Numbers: [84, 1]
Generated Node #0,0,0: 84:[84, 1] Operation: 22/22=1
Moving to Node #0,0,0
Current State: 84:[84, 1], Operations: ['94-72=22', '22/22=1']
Exploring Operation: 84*1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
36,
18,
12,
34
] | 88 | [
"36*18=648",
"648/12=54",
"34+54=88"
] | Current State: 88:[36, 18, 12, 34], Operations: []
Exploring Operation: 36*18=648, Resulting Numbers: [12, 34, 648]
Generated Node #2: [12, 34, 648] from Operation: 36*18=648
Current State: 88:[12, 34, 648], Operations: ['36*18=648']
Exploring Operation: 648/12=54, Resulting Numbers: [34, 54]
Generated Node #3: [34, 54] from Operation: 648/12=54
Current State: 88:[34, 54], Operations: ['36*18=648', '648/12=54']
Exploring Operation: 34+54=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[36, 18, 12, 34], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [36, 18, 22]
Generated Node #0,0: 88:[36, 18, 22] Operation: 34-12=22
Exploring Operation: 36/18=2, Resulting Numbers: [12, 34, 2]
Generated Node #0,1: 88:[12, 34, 2] Operation: 36/18=2
Exploring Operation: 36-34=2, Resulting Numbers: [18, 12, 2]
Generated Node #0,2: 88:[18, 12, 2] Operation: 36-34=2
Exploring Operation: 34-18=16, Resulting Numbers: [36, 12, 16]
Generated Node #0,3: 88:[36, 12, 16] Operation: 34-18=16
Start Sub Search at level 1: Moving to Node #0,2
Current State: 88:[18, 12, 2], Operations: ['36-34=2']
Exploring Operation: 18/2=9, Resulting Numbers: [12, 9]
Generated Node #0,2,0: 88:[12, 9] Operation: 18/2=9
Exploring Operation: 18+2=20, Resulting Numbers: [12, 20]
Generated Node #0,2,1: 88:[12, 20] Operation: 18+2=20
Exploring Operation: 12-2=10, Resulting Numbers: [18, 10]
Generated Node #0,2,2: 88:[18, 10] Operation: 12-2=10
Exploring Operation: 18-12=6, Resulting Numbers: [2, 6]
Generated Node #0,2,3: 88:[2, 6] Operation: 18-12=6
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 88:[12, 9], Operations: ['36-34=2', '18/2=9']
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,88 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,88 unequal: No Solution
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,88 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 #0,2,3
Current State: 88:[2, 6], Operations: ['36-34=2', '18-12=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,88 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,88 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,88 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 #0,2,1
Current State: 88:[12, 20], Operations: ['36-34=2', '18+2=20']
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,88 unequal: No Solution
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,88 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 #0,2,2
Current State: 88:[18, 10], Operations: ['36-34=2', '12-2=10']
Exploring Operation: 18+10=28, Resulting Numbers: [28]
28,88 unequal: No Solution
Exploring Operation: 18-10=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 18*10=180, Resulting Numbers: [180]
180,88 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:[12, 34, 2], Operations: ['36/18=2']
Exploring Operation: 34-12=22, Resulting Numbers: [2, 22]
Generated Node #0,1,0: 88:[2, 22] Operation: 34-12=22
Exploring Operation: 12+34=46, Resulting Numbers: [2, 46]
Generated Node #0,1,1: 88:[2, 46] Operation: 12+34=46
Exploring Operation: 34/2=17, Resulting Numbers: [12, 17]
Generated Node #0,1,2: 88:[12, 17] Operation: 34/2=17
Exploring Operation: 34+2=36, Resulting Numbers: [12, 36]
Generated Node #0,1,3: 88:[12, 36] Operation: 34+2=36
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 88:[2, 22], Operations: ['36/18=2', '34-12=22']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 2*22=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 22/2=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 #0,1,1
Current State: 88:[2, 46], Operations: ['36/18=2', '12+34=46']
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,88 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,88 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:[12, 17], Operations: ['36/18=2', '34/2=17']
Exploring Operation: 12*17=204, Resulting Numbers: [204]
204,88 unequal: No Solution
Exploring Operation: 12+17=29, Resulting Numbers: [29]
29,88 unequal: No Solution
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,88 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:[12, 36], Operations: ['36/18=2', '34+2=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Exploring Operation: 12*36=432, Resulting Numbers: [432]
432,88 unequal: No Solution
Exploring Operation: 12+36=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 36/12=3, Resulting Numbers: [3]
3,88 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 #0,0
Current State: 88:[36, 18, 22], Operations: ['34-12=22']
Exploring Operation: 36/18=2, Resulting Numbers: [22, 2]
Generated Node #0,0,0: 88:[22, 2] Operation: 36/18=2
Exploring Operation: 36-22=14, Resulting Numbers: [18, 14]
Generated Node #0,0,1: 88:[18, 14] Operation: 36-22=14
Exploring Operation: 22-18=4, Resulting Numbers: [36, 4]
Generated Node #0,0,2: 88:[36, 4] Operation: 22-18=4
Exploring Operation: 36-18=18, Resulting Numbers: [22, 18]
Generated Node #0,0,3: 88:[22, 18] Operation: 36-18=18
Moving to Node #0,0,0
Current State: 88:[22, 2], Operations: ['34-12=22', '36/18=2']
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,88 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,88 unequal: No Solution
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,88 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,88 unequal: No Solution
Moving to Node #0,0,3
Current State: 88:[22, 18], Operations: ['34-12=22', '36-18=18']
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,88 unequal: No Solution
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Moving to Node #0,0,1
Current State: 88:[18, 14], Operations: ['34-12=22', '36-22=14']
Exploring Operation: 18*14=252, Resulting Numbers: [252]
252,88 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,88 unequal: No Solution
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Moving to Node #0,0,2
Current State: 88:[36, 4], Operations: ['34-12=22', '22-18=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,88 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,88 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 88:[36, 12, 16], Operations: ['34-18=16']
Exploring Operation: 36-16=20, Resulting Numbers: [12, 20]
Generated Node #0,3,0: 88:[12, 20] Operation: 36-16=20
Exploring Operation: 16-12=4, Resulting Numbers: [36, 4]
Generated Node #0,3,1: 88:[36, 4] Operation: 16-12=4
Exploring Operation: 36-12=24, Resulting Numbers: [16, 24]
Generated Node #0,3,2: 88:[16, 24] Operation: 36-12=24
Exploring Operation: 36/12=3, Resulting Numbers: [16, 3]
Generated Node #0,3,3: 88:[16, 3] Operation: 36/12=3
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 88:[12, 20], Operations: ['34-18=16', '36-16=20']
Exploring Operation: 20-12=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 12+20=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 12*20=240, Resulting Numbers: [240]
240,88 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:[16, 3], Operations: ['34-18=16', '36/12=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,88 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,88 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,88 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 #0,3,2
Current State: 88:[16, 24], Operations: ['34-18=16', '36-12=24']
Exploring Operation: 16*24=384, Resulting Numbers: [384]
384,88 unequal: No Solution
Exploring Operation: 24-16=8, Resulting Numbers: [8]
8,88 unequal: No Solution
Exploring Operation: 16+24=40, Resulting Numbers: [40]
40,88 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:[36, 4], Operations: ['34-18=16', '16-12=4']
Exploring Operation: 36+4=40, Resulting Numbers: [40]
40,88 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,88 unequal: No Solution
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,88 unequal: No Solution
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,88 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
No solution found.
| 0 | hs_4 | sum_heuristic |
[
77,
81,
4,
11
] | 84 | [
"77/11=7",
"81-4=77",
"7+77=84"
] | Current State: 84:[77, 81, 4, 11], Operations: []
Exploring Operation: 77/11=7, Resulting Numbers: [81, 4, 7]
Generated Node #2: [81, 4, 7] from Operation: 77/11=7
Current State: 84:[81, 4, 7], Operations: ['77/11=7']
Exploring Operation: 81-4=77, Resulting Numbers: [7, 77]
Generated Node #3: [7, 77] from Operation: 81-4=77
Current State: 84:[7, 77], Operations: ['77/11=7', '81-4=77']
Exploring Operation: 7+77=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[77, 81, 4, 11], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [4, 11, 4]
Generated Node #0,0: 84:[4, 11, 4] Operation: 81-77=4
Exploring Operation: 77/11=7, Resulting Numbers: [81, 4, 7]
Generated Node #0,1: 84:[81, 4, 7] Operation: 77/11=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[4, 11, 4], Operations: ['81-77=4']
Exploring Operation: 11-4=7, Resulting Numbers: [4, 7]
Generated Node #0,0,0: 84:[4, 7] Operation: 11-4=7
Exploring Operation: 11-4=7, Resulting Numbers: [4, 7]
Generated Node #0,0,1: 84:[4, 7] Operation: 11-4=7
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[4, 7], Operations: ['81-77=4', '11-4=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 84:[4, 7], Operations: ['81-77=4', '11-4=7']
Exploring Operation: 4*7=28, Resulting Numbers: [28]
28,84 unequal: No Solution
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 84:[81, 4, 7], Operations: ['77/11=7']
Exploring Operation: 81+4=85, Resulting Numbers: [7, 85]
Generated Node #0,1,0: 84:[7, 85] Operation: 81+4=85
Exploring Operation: 4*7=28, Resulting Numbers: [81, 28]
Generated Node #0,1,1: 84:[81, 28] Operation: 4*7=28
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 84:[7, 85], Operations: ['77/11=7', '81+4=85']
Exploring Operation: 7+85=92, Resulting Numbers: [92]
92,84 unequal: No Solution
Exploring Operation: 85-7=78, Resulting Numbers: [78]
78,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 84:[81, 28], Operations: ['77/11=7', '4*7=28']
Exploring Operation: 81+28=109, Resulting Numbers: [109]
109,84 unequal: No Solution
Exploring Operation: 81-28=53, Resulting Numbers: [53]
53,84 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
99,
3,
28,
32
] | 13 | [
"99-28=71",
"71-32=39",
"39/3=13"
] | Current State: 13:[99, 3, 28, 32], Operations: []
Exploring Operation: 99-28=71, Resulting Numbers: [3, 32, 71]
Generated Node #2: [3, 32, 71] from Operation: 99-28=71
Current State: 13:[3, 32, 71], Operations: ['99-28=71']
Exploring Operation: 71-32=39, Resulting Numbers: [3, 39]
Generated Node #3: [3, 39] from Operation: 71-32=39
Current State: 13:[3, 39], Operations: ['99-28=71', '71-32=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[99, 3, 28, 32], Operations: []
Exploring Operation: 99/3=33, Resulting Numbers: [28, 32, 33]
Generated Node #0,0: 13:[28, 32, 33] Operation: 99/3=33
Exploring Operation: 99-32=67, Resulting Numbers: [3, 28, 67]
Generated Node #0,1: 13:[3, 28, 67] Operation: 99-32=67
Exploring Operation: 99-28=71, Resulting Numbers: [3, 32, 71]
Generated Node #0,2: 13:[3, 32, 71] Operation: 99-28=71
Moving to Node #0,0
Current State: 13:[28, 32, 33], Operations: ['99/3=33']
Exploring Operation: 33-32=1, Resulting Numbers: [28, 1]
Generated Node #0,0,0: 13:[28, 1] Operation: 33-32=1
Exploring Operation: 32-28=4, Resulting Numbers: [33, 4]
Generated Node #0,0,1: 13:[33, 4] Operation: 32-28=4
Exploring Operation: 33-28=5, Resulting Numbers: [32, 5]
Generated Node #0,0,2: 13:[32, 5] Operation: 33-28=5
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[28, 1], Operations: ['99/3=33', '33-32=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,13 unequal: No Solution
Exploring Operation: 28/1=28, Resulting Numbers: [28]
28,13 unequal: No Solution
Exploring Operation: 28*1=28, Resulting Numbers: [28]
28,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 13:[32, 5], Operations: ['99/3=33', '33-28=5']
Exploring Operation: 32*5=160, Resulting Numbers: [160]
160,13 unequal: No Solution
Exploring Operation: 32+5=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 13:[33, 4], Operations: ['99/3=33', '32-28=4']
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,13 unequal: No Solution
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,13 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 13:[3, 28, 67], Operations: ['99-32=67']
Exploring Operation: 67-28=39, Resulting Numbers: [3, 39]
Generated Node #0,1,0: 13:[3, 39] Operation: 67-28=39
Exploring Operation: 28-3=25, Resulting Numbers: [67, 25]
Generated Node #0,1,1: 13:[67, 25] Operation: 28-3=25
Exploring Operation: 67-3=64, Resulting Numbers: [28, 64]
Generated Node #0,1,2: 13:[28, 64] Operation: 67-3=64
Moving to Node #0,2
Current State: 13:[3, 32, 71], Operations: ['99-28=71']
Exploring Operation: 32-3=29, Resulting Numbers: [71, 29]
Generated Node #0,2,0: 13:[71, 29] Operation: 32-3=29
Exploring Operation: 71-32=39, Resulting Numbers: [3, 39]
Generated Node #0,2,1: 13:[3, 39] Operation: 71-32=39
Exploring Operation: 71-3=68, Resulting Numbers: [32, 68]
Generated Node #0,2,2: 13:[32, 68] Operation: 71-3=68
Moving to Node #0,1,0
Current State: 13:[3, 39], Operations: ['99-32=67', '67-28=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[99, 3, 28, 32], Operations: []
Exploring Operation: 99-32=67, Resulting Numbers: [3, 28, 67]
Generated Node #0,1: 13:[3, 28, 67] Operation: 99-32=67
Moving to Node #0,1
Current State: 13:[3, 28, 67], Operations: ['99-32=67']
Exploring Operation: 67-28=39, Resulting Numbers: [3, 39]
Generated Node #0,1,0: 13:[3, 39] Operation: 67-28=39
Moving to Node #0,1,0
Current State: 13:[3, 39], Operations: ['99-32=67', '67-28=39']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 0.977431 | hs_3 | mult_heuristic |
[
28,
3,
35,
52
] | 93 | [
"28+35=63",
"3*52=156",
"156-63=93"
] | Current State: 93:[28, 3, 35, 52], Operations: []
Exploring Operation: 28+35=63, Resulting Numbers: [3, 52, 63]
Generated Node #2: [3, 52, 63] from Operation: 28+35=63
Current State: 93:[3, 52, 63], Operations: ['28+35=63']
Exploring Operation: 3*52=156, Resulting Numbers: [63, 156]
Generated Node #3: [63, 156] from Operation: 3*52=156
Current State: 93:[63, 156], Operations: ['28+35=63', '3*52=156']
Exploring Operation: 156-63=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[28, 3, 35, 52], Operations: []
Exploring Operation: 28+52=80, Resulting Numbers: [3, 35, 80]
Generated Node #0,0: 93:[3, 35, 80] Operation: 28+52=80
Exploring Operation: 35+52=87, Resulting Numbers: [28, 3, 87]
Generated Node #0,1: 93:[28, 3, 87] Operation: 35+52=87
Exploring Operation: 28+3=31, Resulting Numbers: [35, 52, 31]
Generated Node #0,2: 93:[35, 52, 31] Operation: 28+3=31
Exploring Operation: 52-28=24, Resulting Numbers: [3, 35, 24]
Generated Node #0,3: 93:[3, 35, 24] Operation: 52-28=24
Exploring Operation: 52-35=17, Resulting Numbers: [28, 3, 17]
Generated Node #0,4: 93:[28, 3, 17] Operation: 52-35=17
Moving to Node #0,1
Current State: 93:[28, 3, 87], Operations: ['35+52=87']
Exploring Operation: 87-3=84, Resulting Numbers: [28, 84]
Generated Node #0,1,0: 93:[28, 84] Operation: 87-3=84
Exploring Operation: 28+3=31, Resulting Numbers: [87, 31]
Generated Node #0,1,1: 93:[87, 31] Operation: 28+3=31
Exploring Operation: 87/3=29, Resulting Numbers: [28, 29]
Generated Node #0,1,2: 93:[28, 29] Operation: 87/3=29
Exploring Operation: 3+87=90, Resulting Numbers: [28, 90]
Generated Node #0,1,3: 93:[28, 90] Operation: 3+87=90
Exploring Operation: 28-3=25, Resulting Numbers: [87, 25]
Generated Node #0,1,4: 93:[87, 25] Operation: 28-3=25
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 93:[28, 29], Operations: ['35+52=87', '87/3=29']
Exploring Operation: 28+29=57, Resulting Numbers: [57]
57,93 unequal: No Solution
Exploring Operation: 29-28=1, Resulting Numbers: [1]
1,93 unequal: No Solution
Exploring Operation: 28*29=812, Resulting Numbers: [812]
812,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 93:[87, 31], Operations: ['35+52=87', '28+3=31']
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,93 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 #0,1,3
Current State: 93:[28, 90], Operations: ['35+52=87', '3+87=90']
Exploring Operation: 28+90=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 28*90=2520, Resulting Numbers: [2520]
2520,93 unequal: No Solution
Exploring Operation: 90-28=62, Resulting Numbers: [62]
62,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 93:[28, 84], Operations: ['35+52=87', '87-3=84']
Exploring Operation: 28*84=2352, Resulting Numbers: [2352]
2352,93 unequal: No Solution
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 28+84=112, Resulting Numbers: [112]
112,93 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 #0,1,4
Current State: 93:[87, 25], Operations: ['35+52=87', '28-3=25']
Exploring Operation: 87*25=2175, Resulting Numbers: [2175]
2175,93 unequal: No Solution
Exploring Operation: 87-25=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 87+25=112, Resulting Numbers: [112]
112,93 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: 93:[3, 35, 24], Operations: ['52-28=24']
Exploring Operation: 3+35=38, Resulting Numbers: [24, 38]
Generated Node #0,3,0: 93:[24, 38] Operation: 3+35=38
Exploring Operation: 3+24=27, Resulting Numbers: [35, 27]
Generated Node #0,3,1: 93:[35, 27] Operation: 3+24=27
Exploring Operation: 35-3=32, Resulting Numbers: [24, 32]
Generated Node #0,3,2: 93:[24, 32] Operation: 35-3=32
Exploring Operation: 35-24=11, Resulting Numbers: [3, 11]
Generated Node #0,3,3: 93:[3, 11] Operation: 35-24=11
Exploring Operation: 24/3=8, Resulting Numbers: [35, 8]
Generated Node #0,3,4: 93:[35, 8] Operation: 24/3=8
Moving to Node #0,0
Current State: 93:[3, 35, 80], Operations: ['28+52=80']
Exploring Operation: 35-3=32, Resulting Numbers: [80, 32]
Generated Node #0,0,0: 93:[80, 32] Operation: 35-3=32
Exploring Operation: 80-35=45, Resulting Numbers: [3, 45]
Generated Node #0,0,1: 93:[3, 45] Operation: 80-35=45
Exploring Operation: 3+80=83, Resulting Numbers: [35, 83]
Generated Node #0,0,2: 93:[35, 83] Operation: 3+80=83
Exploring Operation: 3+35=38, Resulting Numbers: [80, 38]
Generated Node #0,0,3: 93:[80, 38] Operation: 3+35=38
Exploring Operation: 80-3=77, Resulting Numbers: [35, 77]
Generated Node #0,0,4: 93:[35, 77] Operation: 80-3=77
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 93:[80, 32], Operations: ['28+52=80', '35-3=32']
Exploring Operation: 80*32=2560, Resulting Numbers: [2560]
2560,93 unequal: No Solution
Exploring Operation: 80+32=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 80-32=48, Resulting Numbers: [48]
48,93 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 #0,0,1
Current State: 93:[3, 45], Operations: ['28+52=80', '80-35=45']
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,93 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 #0,0,2
Current State: 93:[35, 83], Operations: ['28+52=80', '3+80=83']
Exploring Operation: 35+83=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 35*83=2905, Resulting Numbers: [2905]
2905,93 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 #0,0,3
Current State: 93:[80, 38], Operations: ['28+52=80', '3+35=38']
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,93 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,93 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 #0,0,4
Current State: 93:[35, 77], Operations: ['28+52=80', '80-3=77']
Exploring Operation: 77-35=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Exploring Operation: 35+77=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 35*77=2695, Resulting Numbers: [2695]
2695,93 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: 93:[28, 3, 17], Operations: ['52-35=17']
Exploring Operation: 28+17=45, Resulting Numbers: [3, 45]
Generated Node #0,4,0: 93:[3, 45] Operation: 28+17=45
Exploring Operation: 28+3=31, Resulting Numbers: [17, 31]
Generated Node #0,4,1: 93:[17, 31] Operation: 28+3=31
Exploring Operation: 17-3=14, Resulting Numbers: [28, 14]
Generated Node #0,4,2: 93:[28, 14] Operation: 17-3=14
Exploring Operation: 28-17=11, Resulting Numbers: [3, 11]
Generated Node #0,4,3: 93:[3, 11] Operation: 28-17=11
Exploring Operation: 3+17=20, Resulting Numbers: [28, 20]
Generated Node #0,4,4: 93:[28, 20] Operation: 3+17=20
Moving to Node #0,2
Current State: 93:[35, 52, 31], Operations: ['28+3=31']
Exploring Operation: 35-31=4, Resulting Numbers: [52, 4]
Generated Node #0,2,0: 93:[52, 4] Operation: 35-31=4
Exploring Operation: 52-35=17, Resulting Numbers: [31, 17]
Generated Node #0,2,1: 93:[31, 17] Operation: 52-35=17
Exploring Operation: 52+31=83, Resulting Numbers: [35, 83]
Generated Node #0,2,2: 93:[35, 83] Operation: 52+31=83
Exploring Operation: 35+52=87, Resulting Numbers: [31, 87]
Generated Node #0,2,3: 93:[31, 87] Operation: 35+52=87
Exploring Operation: 52-31=21, Resulting Numbers: [35, 21]
Generated Node #0,2,4: 93:[35, 21] Operation: 52-31=21
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 93:[31, 87], Operations: ['28+3=31', '35+52=87']
Exploring Operation: 31+87=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 31*87=2697, Resulting Numbers: [2697]
2697,93 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 #0,2,1
Current State: 93:[31, 17], Operations: ['28+3=31', '52-35=17']
Exploring Operation: 31+17=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 31*17=527, Resulting Numbers: [527]
527,93 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 #0,2,2
Current State: 93:[35, 83], Operations: ['28+3=31', '52+31=83']
Exploring Operation: 35+83=118, Resulting Numbers: [118]
118,93 unequal: No Solution
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 35*83=2905, Resulting Numbers: [2905]
2905,93 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 #0,2,4
Current State: 93:[35, 21], Operations: ['28+3=31', '52-31=21']
Exploring Operation: 35*21=735, Resulting Numbers: [735]
735,93 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,93 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 #0,2,0
Current State: 93:[52, 4], Operations: ['28+3=31', '35-31=4']
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,93 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,1
Current State: 93:[35, 27], Operations: ['52-28=24', '3+24=27']
Exploring Operation: 35-27=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 35+27=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 35*27=945, Resulting Numbers: [945]
945,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[3, 11], Operations: ['52-28=24', '35-24=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[3, 11], Operations: ['52-35=17', '28-17=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,93 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[24, 32], Operations: ['52-28=24', '35-3=32']
Exploring Operation: 32-24=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 24+32=56, Resulting Numbers: [56]
56,93 unequal: No Solution
Exploring Operation: 24*32=768, Resulting Numbers: [768]
768,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[35, 8], Operations: ['52-28=24', '24/3=8']
Exploring Operation: 35*8=280, Resulting Numbers: [280]
280,93 unequal: No Solution
Exploring Operation: 35-8=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Exploring Operation: 35+8=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[3, 45], Operations: ['52-35=17', '28+17=45']
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 3*45=135, Resulting Numbers: [135]
135,93 unequal: No Solution
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,93 unequal: No Solution
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[28, 20], Operations: ['52-35=17', '3+17=20']
Exploring Operation: 28*20=560, Resulting Numbers: [560]
560,93 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Exploring Operation: 28+20=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[28, 14], Operations: ['52-35=17', '17-3=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,93 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[24, 38], Operations: ['52-28=24', '3+35=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,93 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[17, 31], Operations: ['52-35=17', '28+3=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,93 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,93 unequal: No Solution
Exploring Operation: 31-17=14, Resulting Numbers: [14]
14,93 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
8,
40,
87,
1
] | 83 | [
"40/8=5",
"87+1=88",
"88-5=83"
] | Current State: 83:[8, 40, 87, 1], Operations: []
Exploring Operation: 40/8=5, Resulting Numbers: [87, 1, 5]
Generated Node #2: [87, 1, 5] from Operation: 40/8=5
Current State: 83:[87, 1, 5], Operations: ['40/8=5']
Exploring Operation: 87+1=88, Resulting Numbers: [5, 88]
Generated Node #3: [5, 88] from Operation: 87+1=88
Current State: 83:[5, 88], Operations: ['40/8=5', '87+1=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[8, 40, 87, 1], Operations: []
Exploring Operation: 87-1=86, Resulting Numbers: [8, 40, 86]
Generated Node #0,0: 83:[8, 40, 86] Operation: 87-1=86
Exploring Operation: 8*1=8, Resulting Numbers: [40, 87, 8]
Generated Node #0,1: 83:[40, 87, 8] Operation: 8*1=8
Exploring Operation: 8+1=9, Resulting Numbers: [40, 87, 9]
Generated Node #0,2: 83:[40, 87, 9] Operation: 8+1=9
Exploring Operation: 8+40=48, Resulting Numbers: [87, 1, 48]
Generated Node #0,3: 83:[87, 1, 48] Operation: 8+40=48
Exploring Operation: 40+1=41, Resulting Numbers: [8, 87, 41]
Generated Node #0,4: 83:[8, 87, 41] Operation: 40+1=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[8, 40, 86], Operations: ['87-1=86']
Exploring Operation: 40-8=32, Resulting Numbers: [86, 32]
Generated Node #0,0,0: 83:[86, 32] Operation: 40-8=32
Exploring Operation: 8+86=94, Resulting Numbers: [40, 94]
Generated Node #0,0,1: 83:[40, 94] Operation: 8+86=94
Exploring Operation: 8+40=48, Resulting Numbers: [86, 48]
Generated Node #0,0,2: 83:[86, 48] Operation: 8+40=48
Exploring Operation: 86-8=78, Resulting Numbers: [40, 78]
Generated Node #0,0,3: 83:[40, 78] Operation: 86-8=78
Exploring Operation: 40/8=5, Resulting Numbers: [86, 5]
Generated Node #0,0,4: 83:[86, 5] Operation: 40/8=5
Moving to Node #0,0,2
Current State: 83:[86, 48], Operations: ['87-1=86', '8+40=48']
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,83 unequal: No Solution
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Moving to Node #0,0,3
Current State: 83:[40, 78], Operations: ['87-1=86', '86-8=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,83 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Moving to Node #0,0,0
Current State: 83:[86, 32], Operations: ['87-1=86', '40-8=32']
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,83 unequal: No Solution
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Moving to Node #0,0,1
Current State: 83:[40, 94], Operations: ['87-1=86', '8+86=94']
Exploring Operation: 40+94=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 40*94=3760, Resulting Numbers: [3760]
3760,83 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Moving to Node #0,0,4
Current State: 83:[86, 5], Operations: ['87-1=86', '40/8=5']
Exploring Operation: 86+5=91, Resulting Numbers: [91]
91,83 unequal: No Solution
Exploring Operation: 86*5=430, Resulting Numbers: [430]
430,83 unequal: No Solution
Exploring Operation: 86-5=81, Resulting Numbers: [81]
81,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[40, 87, 9], Operations: ['8+1=9']
Exploring Operation: 87-9=78, Resulting Numbers: [40, 78]
Generated Node #0,2,0: 83:[40, 78] Operation: 87-9=78
Exploring Operation: 87+9=96, Resulting Numbers: [40, 96]
Generated Node #0,2,1: 83:[40, 96] Operation: 87+9=96
Exploring Operation: 87-40=47, Resulting Numbers: [9, 47]
Generated Node #0,2,2: 83:[9, 47] Operation: 87-40=47
Exploring Operation: 40+9=49, Resulting Numbers: [87, 49]
Generated Node #0,2,3: 83:[87, 49] Operation: 40+9=49
Exploring Operation: 40-9=31, Resulting Numbers: [87, 31]
Generated Node #0,2,4: 83:[87, 31] Operation: 40-9=31
Moving to Node #0,2,3
Current State: 83:[87, 49], Operations: ['8+1=9', '40+9=49']
Exploring Operation: 87+49=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 87*49=4263, Resulting Numbers: [4263]
4263,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[40, 78], Operations: ['8+1=9', '87-9=78']
Exploring Operation: 40+78=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 40*78=3120, Resulting Numbers: [3120]
3120,83 unequal: No Solution
Moving to Node #0,2,1
Current State: 83:[40, 96], Operations: ['8+1=9', '87+9=96']
Exploring Operation: 40+96=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Exploring Operation: 40*96=3840, Resulting Numbers: [3840]
3840,83 unequal: No Solution
Exploring Operation: 96-40=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Moving to Node #0,2,4
Current State: 83:[87, 31], Operations: ['8+1=9', '40-9=31']
Exploring Operation: 87+31=118, Resulting Numbers: [118]
118,83 unequal: No Solution
Exploring Operation: 87*31=2697, Resulting Numbers: [2697]
2697,83 unequal: No Solution
Exploring Operation: 87-31=56, Resulting Numbers: [56]
56,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[9, 47], Operations: ['8+1=9', '87-40=47']
Exploring Operation: 47-9=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 9*47=423, Resulting Numbers: [423]
423,83 unequal: No Solution
Exploring Operation: 9+47=56, Resulting Numbers: [56]
56,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[87, 1, 48], Operations: ['8+40=48']
Exploring Operation: 87/1=87, Resulting Numbers: [48, 87]
Generated Node #0,3,0: 83:[48, 87] Operation: 87/1=87
Exploring Operation: 87-1=86, Resulting Numbers: [48, 86]
Generated Node #0,3,1: 83:[48, 86] Operation: 87-1=86
Exploring Operation: 1+48=49, Resulting Numbers: [87, 49]
Generated Node #0,3,2: 83:[87, 49] Operation: 1+48=49
Exploring Operation: 87*1=87, Resulting Numbers: [48, 87]
Generated Node #0,3,3: 83:[48, 87] Operation: 87*1=87
Exploring Operation: 1*48=48, Resulting Numbers: [87, 48]
Generated Node #0,3,4: 83:[87, 48] Operation: 1*48=48
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[48, 86], Operations: ['8+40=48', '87-1=86']
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,83 unequal: No Solution
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,83 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[87, 49], Operations: ['8+40=48', '1+48=49']
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 87+49=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Exploring Operation: 87*49=4263, Resulting Numbers: [4263]
4263,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[48, 87], Operations: ['8+40=48', '87/1=87']
Exploring Operation: 48*87=4176, Resulting Numbers: [4176]
4176,83 unequal: No Solution
Exploring Operation: 48+87=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[48, 87], Operations: ['8+40=48', '87*1=87']
Exploring Operation: 48+87=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 48*87=4176, Resulting Numbers: [4176]
4176,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 83:[87, 48], Operations: ['8+40=48', '1*48=48']
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,83 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 83:[8, 87, 41], Operations: ['40+1=41']
Exploring Operation: 87-8=79, Resulting Numbers: [41, 79]
Generated Node #0,4,0: 83:[41, 79] Operation: 87-8=79
Exploring Operation: 87-41=46, Resulting Numbers: [8, 46]
Generated Node #0,4,1: 83:[8, 46] Operation: 87-41=46
Exploring Operation: 8+87=95, Resulting Numbers: [41, 95]
Generated Node #0,4,2: 83:[41, 95] Operation: 8+87=95
Exploring Operation: 41-8=33, Resulting Numbers: [87, 33]
Generated Node #0,4,3: 83:[87, 33] Operation: 41-8=33
Exploring Operation: 8+41=49, Resulting Numbers: [87, 49]
Generated Node #0,4,4: 83:[87, 49] Operation: 8+41=49
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 83:[87, 49], Operations: ['40+1=41', '8+41=49']
Exploring Operation: 87*49=4263, Resulting Numbers: [4263]
4263,83 unequal: No Solution
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 87+49=136, Resulting Numbers: [136]
136,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 83:[41, 79], Operations: ['40+1=41', '87-8=79']
Exploring Operation: 41+79=120, Resulting Numbers: [120]
120,83 unequal: No Solution
Exploring Operation: 41*79=3239, Resulting Numbers: [3239]
3239,83 unequal: No Solution
Exploring Operation: 79-41=38, Resulting Numbers: [38]
38,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 83:[41, 95], Operations: ['40+1=41', '8+87=95']
Exploring Operation: 41+95=136, Resulting Numbers: [136]
136,83 unequal: No Solution
Exploring Operation: 95-41=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 41*95=3895, Resulting Numbers: [3895]
3895,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 83:[87, 33], Operations: ['40+1=41', '41-8=33']
Exploring Operation: 87+33=120, Resulting Numbers: [120]
120,83 unequal: No Solution
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 87*33=2871, Resulting Numbers: [2871]
2871,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 83:[8, 46], Operations: ['40+1=41', '87-41=46']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,83 unequal: No Solution
Exploring Operation: 8+46=54, Resulting Numbers: [54]
54,83 unequal: No Solution
Exploring Operation: 8*46=368, Resulting Numbers: [368]
368,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[40, 87, 8], Operations: ['8*1=8']
Exploring Operation: 40+8=48, Resulting Numbers: [87, 48]
Generated Node #0,1,0: 83:[87, 48] Operation: 40+8=48
Exploring Operation: 40/8=5, Resulting Numbers: [87, 5]
Generated Node #0,1,1: 83:[87, 5] Operation: 40/8=5
Exploring Operation: 87-8=79, Resulting Numbers: [40, 79]
Generated Node #0,1,2: 83:[40, 79] Operation: 87-8=79
Exploring Operation: 40-8=32, Resulting Numbers: [87, 32]
Generated Node #0,1,3: 83:[87, 32] Operation: 40-8=32
Exploring Operation: 87+8=95, Resulting Numbers: [40, 95]
Generated Node #0,1,4: 83:[40, 95] Operation: 87+8=95
Moving to Node #0,1,0
Current State: 83:[87, 48], Operations: ['8*1=8', '40+8=48']
Exploring Operation: 87+48=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 87*48=4176, Resulting Numbers: [4176]
4176,83 unequal: No Solution
Exploring Operation: 87-48=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Moving to Node #0,1,2
Current State: 83:[40, 79], Operations: ['8*1=8', '87-8=79']
Exploring Operation: 40*79=3160, Resulting Numbers: [3160]
3160,83 unequal: No Solution
Exploring Operation: 40+79=119, Resulting Numbers: [119]
119,83 unequal: No Solution
Exploring Operation: 79-40=39, Resulting Numbers: [39]
39,83 unequal: No Solution
Moving to Node #0,1,3
Current State: 83:[87, 32], Operations: ['8*1=8', '40-8=32']
Exploring Operation: 87+32=119, Resulting Numbers: [119]
119,83 unequal: No Solution
Exploring Operation: 87-32=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 87*32=2784, Resulting Numbers: [2784]
2784,83 unequal: No Solution
Moving to Node #0,1,4
Current State: 83:[40, 95], Operations: ['8*1=8', '87+8=95']
Exploring Operation: 95-40=55, Resulting Numbers: [55]
55,83 unequal: No Solution
Exploring Operation: 40+95=135, Resulting Numbers: [135]
135,83 unequal: No Solution
Exploring Operation: 40*95=3800, Resulting Numbers: [3800]
3800,83 unequal: No Solution
Moving to Node #0,1,1
Current State: 83:[87, 5], Operations: ['8*1=8', '40/8=5']
Exploring Operation: 87+5=92, Resulting Numbers: [92]
92,83 unequal: No Solution
Exploring Operation: 87-5=82, Resulting Numbers: [82]
82,83 unequal: No Solution
Exploring Operation: 87*5=435, Resulting Numbers: [435]
435,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
5,
94,
15,
69
] | 15 | [
"5+94=99",
"15+69=84",
"99-84=15"
] | Current State: 15:[5, 94, 15, 69], Operations: []
Exploring Operation: 5+94=99, Resulting Numbers: [15, 69, 99]
Generated Node #2: [15, 69, 99] from Operation: 5+94=99
Current State: 15:[15, 69, 99], Operations: ['5+94=99']
Exploring Operation: 15+69=84, Resulting Numbers: [99, 84]
Generated Node #3: [99, 84] from Operation: 15+69=84
Current State: 15:[99, 84], Operations: ['5+94=99', '15+69=84']
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[5, 94, 15, 69], Operations: []
Exploring Operation: 94-5=89, Resulting Numbers: [15, 69, 89]
Generated Node #0,0: 15:[15, 69, 89] Operation: 94-5=89
Exploring Operation: 94-69=25, Resulting Numbers: [5, 15, 25]
Generated Node #0,1: 15:[5, 15, 25] Operation: 94-69=25
Exploring Operation: 94-15=79, Resulting Numbers: [5, 69, 79]
Generated Node #0,2: 15:[5, 69, 79] Operation: 94-15=79
Exploring Operation: 69-15=54, Resulting Numbers: [5, 94, 54]
Generated Node #0,3: 15:[5, 94, 54] Operation: 69-15=54
Moving to Node #0,1
Current State: 15:[5, 15, 25], Operations: ['94-69=25']
Exploring Operation: 25-15=10, Resulting Numbers: [5, 10]
Generated Node #0,1,0: 15:[5, 10] Operation: 25-15=10
Exploring Operation: 25-5=20, Resulting Numbers: [15, 20]
Generated Node #0,1,1: 15:[15, 20] Operation: 25-5=20
Exploring Operation: 25/5=5, Resulting Numbers: [15, 5]
Generated Node #0,1,2: 15:[15, 5] Operation: 25/5=5
Exploring Operation: 15/5=3, Resulting Numbers: [25, 3]
Generated Node #0,1,3: 15:[25, 3] Operation: 15/5=3
Moving to Node #0,3
Current State: 15:[5, 94, 54], Operations: ['69-15=54']
Exploring Operation: 94-5=89, Resulting Numbers: [54, 89]
Generated Node #0,3,0: 15:[54, 89] Operation: 94-5=89
Exploring Operation: 94-54=40, Resulting Numbers: [5, 40]
Generated Node #0,3,1: 15:[5, 40] Operation: 94-54=40
Exploring Operation: 5+94=99, Resulting Numbers: [54, 99]
Generated Node #0,3,2: 15:[54, 99] Operation: 5+94=99
Exploring Operation: 54-5=49, Resulting Numbers: [94, 49]
Generated Node #0,3,3: 15:[94, 49] Operation: 54-5=49
Moving to Node #0,2
Current State: 15:[5, 69, 79], Operations: ['94-15=79']
Exploring Operation: 79-69=10, Resulting Numbers: [5, 10]
Generated Node #0,2,0: 15:[5, 10] Operation: 79-69=10
Exploring Operation: 5+69=74, Resulting Numbers: [79, 74]
Generated Node #0,2,1: 15:[79, 74] Operation: 5+69=74
Exploring Operation: 69-5=64, Resulting Numbers: [79, 64]
Generated Node #0,2,2: 15:[79, 64] Operation: 69-5=64
Exploring Operation: 79-5=74, Resulting Numbers: [69, 74]
Generated Node #0,2,3: 15:[69, 74] Operation: 79-5=74
Moving to Node #0,0
Current State: 15:[15, 69, 89], Operations: ['94-5=89']
Exploring Operation: 69-15=54, Resulting Numbers: [89, 54]
Generated Node #0,0,0: 15:[89, 54] Operation: 69-15=54
Exploring Operation: 15+69=84, Resulting Numbers: [89, 84]
Generated Node #0,0,1: 15:[89, 84] Operation: 15+69=84
Exploring Operation: 89-15=74, Resulting Numbers: [69, 74]
Generated Node #0,0,2: 15:[69, 74] Operation: 89-15=74
Exploring Operation: 89-69=20, Resulting Numbers: [15, 20]
Generated Node #0,0,3: 15:[15, 20] Operation: 89-69=20
Moving to Node #0,1,2
Current State: 15:[15, 5], Operations: ['94-69=25', '25/5=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,15 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[15, 20], Operations: ['94-69=25', '25-5=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,15 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,0,3
Current State: 15:[15, 20], Operations: ['94-5=89', '89-69=20']
Exploring Operation: 15+20=35, Resulting Numbers: [35]
35,15 unequal: No Solution
Exploring Operation: 15*20=300, Resulting Numbers: [300]
300,15 unequal: No Solution
Exploring Operation: 20-15=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[5, 10], Operations: ['94-69=25', '25-15=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,15 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,15 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,15 unequal: No Solution
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[5, 94, 15, 69], Operations: []
Exploring Operation: 94-69=25, Resulting Numbers: [5, 15, 25]
Generated Node #0,1: 15:[5, 15, 25] Operation: 94-69=25
Moving to Node #0,1
Current State: 15:[5, 15, 25], Operations: ['94-69=25']
Exploring Operation: 25-15=10, Resulting Numbers: [5, 10]
Generated Node #0,1,0: 15:[5, 10] Operation: 25-15=10
Moving to Node #0,1,0
Current State: 15:[5, 10], Operations: ['94-69=25', '25-15=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.967014 | hs_4 | mult_heuristic |
[
46,
37,
43,
30
] | 64 | [
"46-37=9",
"43+30=73",
"73-9=64"
] | Current State: 64:[46, 37, 43, 30], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [43, 30, 9]
Generated Node #2: [43, 30, 9] from Operation: 46-37=9
Current State: 64:[43, 30, 9], Operations: ['46-37=9']
Exploring Operation: 43+30=73, Resulting Numbers: [9, 73]
Generated Node #3: [9, 73] from Operation: 43+30=73
Current State: 64:[9, 73], Operations: ['46-37=9', '43+30=73']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[46, 37, 43, 30], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [37, 30, 3]
Generated Node #0,0: 64:[37, 30, 3] Operation: 46-43=3
Moving to Node #0,0
Current State: 64:[37, 30, 3], Operations: ['46-43=3']
Exploring Operation: 37-30=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 64:[3, 7] Operation: 37-30=7
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[3, 7], Operations: ['46-43=3', '37-30=7']
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
87,
11,
60,
20
] | 54 | [
"11*60=660",
"660/20=33",
"87-33=54"
] | Current State: 54:[87, 11, 60, 20], Operations: []
Exploring Operation: 11*60=660, Resulting Numbers: [87, 20, 660]
Generated Node #2: [87, 20, 660] from Operation: 11*60=660
Current State: 54:[87, 20, 660], Operations: ['11*60=660']
Exploring Operation: 660/20=33, Resulting Numbers: [87, 33]
Generated Node #3: [87, 33] from Operation: 660/20=33
Current State: 54:[87, 33], Operations: ['11*60=660', '660/20=33']
Exploring Operation: 87-33=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[87, 11, 60, 20], Operations: []
Exploring Operation: 87-60=27, Resulting Numbers: [11, 20, 27]
Generated Node #0,0: 54:[11, 20, 27] Operation: 87-60=27
Exploring Operation: 87-11=76, Resulting Numbers: [60, 20, 76]
Generated Node #0,1: 54:[60, 20, 76] Operation: 87-11=76
Exploring Operation: 87-20=67, Resulting Numbers: [11, 60, 67]
Generated Node #0,2: 54:[11, 60, 67] Operation: 87-20=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[11, 20, 27], Operations: ['87-60=27']
Exploring Operation: 27-20=7, Resulting Numbers: [11, 7]
Generated Node #0,0,0: 54:[11, 7] Operation: 27-20=7
Exploring Operation: 11+20=31, Resulting Numbers: [27, 31]
Generated Node #0,0,1: 54:[27, 31] Operation: 11+20=31
Exploring Operation: 20-11=9, Resulting Numbers: [27, 9]
Generated Node #0,0,2: 54:[27, 9] Operation: 20-11=9
Moving to Node #0,0,2
Current State: 54:[27, 9], Operations: ['87-60=27', '20-11=9']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 27+9=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Moving to Node #0,0,0
Current State: 54:[11, 7], Operations: ['87-60=27', '27-20=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,54 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Moving to Node #0,0,1
Current State: 54:[27, 31], Operations: ['87-60=27', '11+20=31']
Exploring Operation: 27*31=837, Resulting Numbers: [837]
837,54 unequal: No Solution
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,54 unequal: No Solution
No 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: 54:[11, 60, 67], Operations: ['87-20=67']
Exploring Operation: 67-11=56, Resulting Numbers: [60, 56]
Generated Node #0,2,0: 54:[60, 56] Operation: 67-11=56
Exploring Operation: 67-60=7, Resulting Numbers: [11, 7]
Generated Node #0,2,1: 54:[11, 7] Operation: 67-60=7
Exploring Operation: 60-11=49, Resulting Numbers: [67, 49]
Generated Node #0,2,2: 54:[67, 49] Operation: 60-11=49
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[11, 7], Operations: ['87-20=67', '67-60=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,54 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,54 unequal: No Solution
No 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: 54:[60, 56], Operations: ['87-20=67', '67-11=56']
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,54 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,54 unequal: No Solution
No 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: 54:[67, 49], Operations: ['87-20=67', '60-11=49']
Exploring Operation: 67*49=3283, Resulting Numbers: [3283]
3283,54 unequal: No Solution
Exploring Operation: 67+49=116, Resulting Numbers: [116]
116,54 unequal: No Solution
Exploring Operation: 67-49=18, Resulting Numbers: [18]
18,54 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: 54:[60, 20, 76], Operations: ['87-11=76']
Exploring Operation: 60/20=3, Resulting Numbers: [76, 3]
Generated Node #0,1,0: 54:[76, 3] Operation: 60/20=3
Exploring Operation: 76-60=16, Resulting Numbers: [20, 16]
Generated Node #0,1,1: 54:[20, 16] Operation: 76-60=16
Exploring Operation: 76-20=56, Resulting Numbers: [60, 56]
Generated Node #0,1,2: 54:[60, 56] Operation: 76-20=56
Moving to Node #0,1,1
Current State: 54:[20, 16], Operations: ['87-11=76', '76-60=16']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,54 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,54 unequal: No Solution
Moving to Node #0,1,2
Current State: 54:[60, 56], Operations: ['87-11=76', '76-20=56']
Exploring Operation: 60+56=116, Resulting Numbers: [116]
116,54 unequal: No Solution
Exploring Operation: 60-56=4, Resulting Numbers: [4]
4,54 unequal: No Solution
Exploring Operation: 60*56=3360, Resulting Numbers: [3360]
3360,54 unequal: No Solution
Moving to Node #0,1,0
Current State: 54:[76, 3], Operations: ['87-11=76', '60/20=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,54 unequal: No Solution
Exploring Operation: 76-3=73, Resulting Numbers: [73]
73,54 unequal: No Solution
Exploring Operation: 76*3=228, Resulting Numbers: [228]
228,54 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 |
[
6,
58,
84,
86
] | 38 | [
"58+84=142",
"86+142=228",
"228/6=38"
] | Current State: 38:[6, 58, 84, 86], Operations: []
Exploring Operation: 58+84=142, Resulting Numbers: [6, 86, 142]
Generated Node #2: [6, 86, 142] from Operation: 58+84=142
Current State: 38:[6, 86, 142], Operations: ['58+84=142']
Exploring Operation: 86+142=228, Resulting Numbers: [6, 228]
Generated Node #3: [6, 228] from Operation: 86+142=228
Current State: 38:[6, 228], Operations: ['58+84=142', '86+142=228']
Exploring Operation: 228/6=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[6, 58, 84, 86], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [6, 86, 26]
Generated Node #0,0: 38:[6, 86, 26] Operation: 84-58=26
Exploring Operation: 86-84=2, Resulting Numbers: [6, 58, 2]
Generated Node #0,1: 38:[6, 58, 2] Operation: 86-84=2
Exploring Operation: 86-58=28, Resulting Numbers: [6, 84, 28]
Generated Node #0,2: 38:[6, 84, 28] Operation: 86-58=28
Exploring Operation: 84/6=14, Resulting Numbers: [58, 86, 14]
Generated Node #0,3: 38:[58, 86, 14] Operation: 84/6=14
Moving to Node #0,1
Current State: 38:[6, 58, 2], Operations: ['86-84=2']
Exploring Operation: 6-2=4, Resulting Numbers: [58, 4]
Generated Node #0,1,0: 38:[58, 4] Operation: 6-2=4
Exploring Operation: 6/2=3, Resulting Numbers: [58, 3]
Generated Node #0,1,1: 38:[58, 3] Operation: 6/2=3
Exploring Operation: 58-6=52, Resulting Numbers: [2, 52]
Generated Node #0,1,2: 38:[2, 52] Operation: 58-6=52
Exploring Operation: 58/2=29, Resulting Numbers: [6, 29]
Generated Node #0,1,3: 38:[6, 29] Operation: 58/2=29
Moving to Node #0,2
Current State: 38:[6, 84, 28], Operations: ['86-58=28']
Exploring Operation: 84-28=56, Resulting Numbers: [6, 56]
Generated Node #0,2,0: 38:[6, 56] Operation: 84-28=56
Exploring Operation: 84-6=78, Resulting Numbers: [28, 78]
Generated Node #0,2,1: 38:[28, 78] Operation: 84-6=78
Exploring Operation: 84/6=14, Resulting Numbers: [28, 14]
Generated Node #0,2,2: 38:[28, 14] Operation: 84/6=14
Exploring Operation: 84/28=3, Resulting Numbers: [6, 3]
Generated Node #0,2,3: 38:[6, 3] Operation: 84/28=3
Moving to Node #0,0
Current State: 38:[6, 86, 26], Operations: ['84-58=26']
Exploring Operation: 26-6=20, Resulting Numbers: [86, 20]
Generated Node #0,0,0: 38:[86, 20] Operation: 26-6=20
Exploring Operation: 6+26=32, Resulting Numbers: [86, 32]
Generated Node #0,0,1: 38:[86, 32] Operation: 6+26=32
Exploring Operation: 86-6=80, Resulting Numbers: [26, 80]
Generated Node #0,0,2: 38:[26, 80] Operation: 86-6=80
Exploring Operation: 86-26=60, Resulting Numbers: [6, 60]
Generated Node #0,0,3: 38:[6, 60] Operation: 86-26=60
Moving to Node #0,3
Current State: 38:[58, 86, 14], Operations: ['84/6=14']
Exploring Operation: 58-14=44, Resulting Numbers: [86, 44]
Generated Node #0,3,0: 38:[86, 44] Operation: 58-14=44
Exploring Operation: 86-14=72, Resulting Numbers: [58, 72]
Generated Node #0,3,1: 38:[58, 72] Operation: 86-14=72
Exploring Operation: 86-58=28, Resulting Numbers: [14, 28]
Generated Node #0,3,2: 38:[14, 28] Operation: 86-58=28
Exploring Operation: 58+14=72, Resulting Numbers: [86, 72]
Generated Node #0,3,3: 38:[86, 72] Operation: 58+14=72
Moving to Node #0,2,3
Current State: 38:[6, 3], Operations: ['86-58=28', '84/28=3']
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 6*3=18, Resulting Numbers: [18]
18,38 unequal: No Solution
Exploring Operation: 6+3=9, Resulting Numbers: [9]
9,38 unequal: No Solution
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,38 unequal: No Solution
Moving to Node #0,1,3
Current State: 38:[6, 29], Operations: ['86-84=2', '58/2=29']
Exploring Operation: 6*29=174, Resulting Numbers: [174]
174,38 unequal: No Solution
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,38 unequal: No Solution
Exploring Operation: 6+29=35, Resulting Numbers: [35]
35,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[28, 14], Operations: ['86-58=28', '84/6=14']
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,38 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Moving to Node #0,3,2
Current State: 38:[14, 28], Operations: ['84/6=14', '86-58=28']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,38 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[2, 52], Operations: ['86-84=2', '58-6=52']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,38 unequal: No Solution
Exploring Operation: 2*52=104, Resulting Numbers: [104]
104,38 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 2+52=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[58, 3], Operations: ['86-84=2', '6/2=3']
Exploring Operation: 58*3=174, Resulting Numbers: [174]
174,38 unequal: No Solution
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,38 unequal: No Solution
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[6, 56], Operations: ['86-58=28', '84-28=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 6+56=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 6*56=336, Resulting Numbers: [336]
336,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[58, 4], Operations: ['86-84=2', '6-2=4']
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 58+4=62, Resulting Numbers: [62]
62,38 unequal: No Solution
Exploring Operation: 58*4=232, Resulting Numbers: [232]
232,38 unequal: No Solution
Moving to Node #0,0,3
Current State: 38:[6, 60], Operations: ['84-58=26', '86-26=60']
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,38 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,38 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 6*60=360, Resulting Numbers: [360]
360,38 unequal: No Solution
Moving to Node #0,0,2
Current State: 38:[26, 80], Operations: ['84-58=26', '86-6=80']
Exploring Operation: 26*80=2080, Resulting Numbers: [2080]
2080,38 unequal: No Solution
Exploring Operation: 26+80=106, Resulting Numbers: [106]
106,38 unequal: No Solution
Exploring Operation: 80-26=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[28, 78], Operations: ['86-58=28', '84-6=78']
Exploring Operation: 28+78=106, Resulting Numbers: [106]
106,38 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,38 unequal: No Solution
Exploring Operation: 28*78=2184, Resulting Numbers: [2184]
2184,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[86, 20], Operations: ['84-58=26', '26-6=20']
Exploring Operation: 86+20=106, Resulting Numbers: [106]
106,38 unequal: No Solution
Exploring Operation: 86*20=1720, Resulting Numbers: [1720]
1720,38 unequal: No Solution
Exploring Operation: 86-20=66, Resulting Numbers: [66]
66,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[86, 32], Operations: ['84-58=26', '6+26=32']
Exploring Operation: 86-32=54, Resulting Numbers: [54]
54,38 unequal: No Solution
Exploring Operation: 86*32=2752, Resulting Numbers: [2752]
2752,38 unequal: No Solution
Exploring Operation: 86+32=118, Resulting Numbers: [118]
118,38 unequal: No Solution
Moving to Node #0,3,1
Current State: 38:[58, 72], Operations: ['84/6=14', '86-14=72']
Exploring Operation: 58+72=130, Resulting Numbers: [130]
130,38 unequal: No Solution
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 58*72=4176, Resulting Numbers: [4176]
4176,38 unequal: No Solution
Moving to Node #0,3,0
Current State: 38:[86, 44], Operations: ['84/6=14', '58-14=44']
Exploring Operation: 86+44=130, Resulting Numbers: [130]
130,38 unequal: No Solution
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 86*44=3784, Resulting Numbers: [3784]
3784,38 unequal: No Solution
Moving to Node #0,3,3
Current State: 38:[86, 72], Operations: ['84/6=14', '58+14=72']
Exploring Operation: 86+72=158, Resulting Numbers: [158]
158,38 unequal: No Solution
Exploring Operation: 86-72=14, Resulting Numbers: [14]
14,38 unequal: No Solution
Exploring Operation: 86*72=6192, Resulting Numbers: [6192]
6192,38 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
67,
8,
62,
23
] | 69 | [
"67-8=59",
"62-59=3",
"23*3=69"
] | Current State: 69:[67, 8, 62, 23], Operations: []
Exploring Operation: 67-8=59, Resulting Numbers: [62, 23, 59]
Generated Node #2: [62, 23, 59] from Operation: 67-8=59
Current State: 69:[62, 23, 59], Operations: ['67-8=59']
Exploring Operation: 62-59=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 62-59=3
Current State: 69:[23, 3], Operations: ['67-8=59', '62-59=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[67, 8, 62, 23], Operations: []
Exploring Operation: 67-62=5, Resulting Numbers: [8, 23, 5]
Generated Node #0,0: 69:[8, 23, 5] Operation: 67-62=5
Exploring Operation: 67-8=59, Resulting Numbers: [62, 23, 59]
Generated Node #0,1: 69:[62, 23, 59] Operation: 67-8=59
Exploring Operation: 8+62=70, Resulting Numbers: [67, 23, 70]
Generated Node #0,2: 69:[67, 23, 70] Operation: 8+62=70
Exploring Operation: 67+8=75, Resulting Numbers: [62, 23, 75]
Generated Node #0,3: 69:[62, 23, 75] Operation: 67+8=75
Start Sub Search at level 1: Moving to Node #0,2
Current State: 69:[67, 23, 70], Operations: ['8+62=70']
Exploring Operation: 70-67=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 69:[23, 3] Operation: 70-67=3
Exploring Operation: 67+23=90, Resulting Numbers: [70, 90]
Generated Node #0,2,1: 69:[70, 90] Operation: 67+23=90
Exploring Operation: 67-23=44, Resulting Numbers: [70, 44]
Generated Node #0,2,2: 69:[70, 44] Operation: 67-23=44
Exploring Operation: 70-23=47, Resulting Numbers: [67, 47]
Generated Node #0,2,3: 69:[67, 47] Operation: 70-23=47
Moving to Node #0,2,0
Current State: 69:[23, 3], Operations: ['8+62=70', '70-67=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[67, 8, 62, 23], Operations: []
Exploring Operation: 8+62=70, Resulting Numbers: [67, 23, 70]
Generated Node #0,2: 69:[67, 23, 70] Operation: 8+62=70
Moving to Node #0,2
Current State: 69:[67, 23, 70], Operations: ['8+62=70']
Exploring Operation: 70-67=3, Resulting Numbers: [23, 3]
Generated Node #0,2,0: 69:[23, 3] Operation: 70-67=3
Moving to Node #0,2,0
Current State: 69:[23, 3], Operations: ['8+62=70', '70-67=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
28,
8,
90,
93
] | 41 | [
"28*8=224",
"90+93=183",
"224-183=41"
] | Current State: 41:[28, 8, 90, 93], Operations: []
Exploring Operation: 28*8=224, Resulting Numbers: [90, 93, 224]
Generated Node #2: [90, 93, 224] from Operation: 28*8=224
Current State: 41:[90, 93, 224], Operations: ['28*8=224']
Exploring Operation: 90+93=183, Resulting Numbers: [224, 183]
Generated Node #3: [224, 183] from Operation: 90+93=183
Current State: 41:[224, 183], Operations: ['28*8=224', '90+93=183']
Exploring Operation: 224-183=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[28, 8, 90, 93], Operations: []
Exploring Operation: 93-28=65, Resulting Numbers: [8, 90, 65]
Generated Node #0,0: 41:[8, 90, 65] Operation: 93-28=65
Exploring Operation: 90-28=62, Resulting Numbers: [8, 93, 62]
Generated Node #0,1: 41:[8, 93, 62] Operation: 90-28=62
Exploring Operation: 28+8=36, Resulting Numbers: [90, 93, 36]
Generated Node #0,2: 41:[90, 93, 36] Operation: 28+8=36
Exploring Operation: 93-90=3, Resulting Numbers: [28, 8, 3]
Generated Node #0,3: 41:[28, 8, 3] Operation: 93-90=3
Moving to Node #0,3
Current State: 41:[28, 8, 3], Operations: ['93-90=3']
Exploring Operation: 28+8=36, Resulting Numbers: [3, 36]
Generated Node #0,3,0: 41:[3, 36] Operation: 28+8=36
Exploring Operation: 8*3=24, Resulting Numbers: [28, 24]
Generated Node #0,3,1: 41:[28, 24] Operation: 8*3=24
Exploring Operation: 28+3=31, Resulting Numbers: [8, 31]
Generated Node #0,3,2: 41:[8, 31] Operation: 28+3=31
Exploring Operation: 8+3=11, Resulting Numbers: [28, 11]
Generated Node #0,3,3: 41:[28, 11] Operation: 8+3=11
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 41:[28, 24], Operations: ['93-90=3', '8*3=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,41 unequal: No Solution
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,41 unequal: No Solution
Exploring Operation: 28*24=672, Resulting Numbers: [672]
672,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 41:[3, 36], Operations: ['93-90=3', '28+8=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 41:[8, 31], Operations: ['93-90=3', '28+3=31']
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,41 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 41:[28, 11], Operations: ['93-90=3', '8+3=11']
Exploring Operation: 28*11=308, Resulting Numbers: [308]
308,41 unequal: No Solution
Exploring Operation: 28+11=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 28-11=17, Resulting Numbers: [17]
17,41 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: 41:[8, 93, 62], Operations: ['90-28=62']
Exploring Operation: 8+93=101, Resulting Numbers: [62, 101]
Generated Node #0,1,0: 41:[62, 101] Operation: 8+93=101
Exploring Operation: 93-8=85, Resulting Numbers: [62, 85]
Generated Node #0,1,1: 41:[62, 85] Operation: 93-8=85
Exploring Operation: 62-8=54, Resulting Numbers: [93, 54]
Generated Node #0,1,2: 41:[93, 54] Operation: 62-8=54
Exploring Operation: 93-62=31, Resulting Numbers: [8, 31]
Generated Node #0,1,3: 41:[8, 31] Operation: 93-62=31
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 41:[8, 31], Operations: ['90-28=62', '93-62=31']
Exploring Operation: 8*31=248, Resulting Numbers: [248]
248,41 unequal: No Solution
Exploring Operation: 31-8=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 8+31=39, Resulting Numbers: [39]
39,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 41:[62, 85], Operations: ['90-28=62', '93-8=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,41 unequal: No Solution
Exploring Operation: 62*85=5270, Resulting Numbers: [5270]
5270,41 unequal: No Solution
Exploring Operation: 62+85=147, Resulting Numbers: [147]
147,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 41:[93, 54], Operations: ['90-28=62', '62-8=54']
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,41 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,41 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 41:[62, 101], Operations: ['90-28=62', '8+93=101']
Exploring Operation: 62+101=163, Resulting Numbers: [163]
163,41 unequal: No Solution
Exploring Operation: 62*101=6262, Resulting Numbers: [6262]
6262,41 unequal: No Solution
Exploring Operation: 101-62=39, Resulting Numbers: [39]
39,41 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: 41:[8, 90, 65], Operations: ['93-28=65']
Exploring Operation: 65-8=57, Resulting Numbers: [90, 57]
Generated Node #0,0,0: 41:[90, 57] Operation: 65-8=57
Exploring Operation: 90-65=25, Resulting Numbers: [8, 25]
Generated Node #0,0,1: 41:[8, 25] Operation: 90-65=25
Exploring Operation: 8+90=98, Resulting Numbers: [65, 98]
Generated Node #0,0,2: 41:[65, 98] Operation: 8+90=98
Exploring Operation: 90-8=82, Resulting Numbers: [65, 82]
Generated Node #0,0,3: 41:[65, 82] Operation: 90-8=82
Moving to Node #0,2
Current State: 41:[90, 93, 36], Operations: ['28+8=36']
Exploring Operation: 93-36=57, Resulting Numbers: [90, 57]
Generated Node #0,2,0: 41:[90, 57] Operation: 93-36=57
Exploring Operation: 90+36=126, Resulting Numbers: [93, 126]
Generated Node #0,2,1: 41:[93, 126] Operation: 90+36=126
Exploring Operation: 93-90=3, Resulting Numbers: [36, 3]
Generated Node #0,2,2: 41:[36, 3] Operation: 93-90=3
Exploring Operation: 90-36=54, Resulting Numbers: [93, 54]
Generated Node #0,2,3: 41:[93, 54] Operation: 90-36=54
Moving to Node #0,2,2
Current State: 41:[36, 3], Operations: ['28+8=36', '93-90=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,41 unequal: No Solution
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,41 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Moving to Node #0,0,1
Current State: 41:[8, 25], Operations: ['93-28=65', '90-65=25']
Exploring Operation: 25-8=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 8+25=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 8*25=200, Resulting Numbers: [200]
200,41 unequal: No Solution
Moving to Node #0,0,3
Current State: 41:[65, 82], Operations: ['93-28=65', '90-8=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,41 unequal: No Solution
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 65*82=5330, Resulting Numbers: [5330]
5330,41 unequal: No Solution
Moving to Node #0,2,0
Current State: 41:[90, 57], Operations: ['28+8=36', '93-36=57']
Exploring Operation: 90+57=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 90*57=5130, Resulting Numbers: [5130]
5130,41 unequal: No Solution
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[93, 54], Operations: ['28+8=36', '90-36=54']
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,41 unequal: No Solution
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,41 unequal: No Solution
Moving to Node #0,0,0
Current State: 41:[90, 57], Operations: ['93-28=65', '65-8=57']
Exploring Operation: 90*57=5130, Resulting Numbers: [5130]
5130,41 unequal: No Solution
Exploring Operation: 90-57=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 90+57=147, Resulting Numbers: [147]
147,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[65, 98], Operations: ['93-28=65', '8+90=98']
Exploring Operation: 98-65=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 65*98=6370, Resulting Numbers: [6370]
6370,41 unequal: No Solution
Exploring Operation: 65+98=163, Resulting Numbers: [163]
163,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[93, 126], Operations: ['28+8=36', '90+36=126']
Exploring Operation: 126-93=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 93*126=11718, Resulting Numbers: [11718]
11718,41 unequal: No Solution
Exploring Operation: 93+126=219, Resulting Numbers: [219]
219,41 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
94,
43,
44,
87
] | 80 | [
"94-43=51",
"44+87=131",
"131-51=80"
] | Current State: 80:[94, 43, 44, 87], Operations: []
Exploring Operation: 94-43=51, Resulting Numbers: [44, 87, 51]
Generated Node #2: [44, 87, 51] from Operation: 94-43=51
Current State: 80:[44, 87, 51], Operations: ['94-43=51']
Exploring Operation: 44+87=131, Resulting Numbers: [51, 131]
Generated Node #3: [51, 131] from Operation: 44+87=131
Current State: 80:[51, 131], Operations: ['94-43=51', '44+87=131']
Exploring Operation: 131-51=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 | Current State: 80:[94, 43, 44, 87], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [43, 44, 7]
Generated Node #0,0: 80:[43, 44, 7] Operation: 94-87=7
Exploring Operation: 87-44=43, Resulting Numbers: [94, 43, 43]
Generated Node #0,1: 80:[94, 43, 43] Operation: 87-44=43
Exploring Operation: 94-44=50, Resulting Numbers: [43, 87, 50]
Generated Node #0,2: 80:[43, 87, 50] Operation: 94-44=50
Moving to Node #0,0
Current State: 80:[43, 44, 7], Operations: ['94-87=7']
Exploring Operation: 44-7=37, Resulting Numbers: [43, 37]
Generated Node #0,0,0: 80:[43, 37] Operation: 44-7=37
Exploring Operation: 43+44=87, Resulting Numbers: [7, 87]
Generated Node #0,0,1: 80:[7, 87] Operation: 43+44=87
Exploring Operation: 44-43=1, Resulting Numbers: [7, 1]
Generated Node #0,0,2: 80:[7, 1] Operation: 44-43=1
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 80:[7, 1], Operations: ['94-87=7', '44-43=1']
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,80 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 80:[43, 37], Operations: ['94-87=7', '44-7=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Moving to Node #0
Current State: 80:[94, 43, 44, 87], Operations: []
Exploring Operation: 94-87=7, Resulting Numbers: [43, 44, 7]
Generated Node #0,0: 80:[43, 44, 7] Operation: 94-87=7
Moving to Node #0,0
Current State: 80:[43, 44, 7], Operations: ['94-87=7']
Exploring Operation: 44-7=37, Resulting Numbers: [43, 37]
Generated Node #0,0,0: 80:[43, 37] Operation: 44-7=37
Moving to Node #0,0,0
Current State: 80:[43, 37], Operations: ['94-87=7', '44-7=37']
Exploring Operation: 43+37=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
87,
21,
55,
36
] | 84 | [
"87-55=32",
"36-32=4",
"21*4=84"
] | Current State: 84:[87, 21, 55, 36], Operations: []
Exploring Operation: 87-55=32, Resulting Numbers: [21, 36, 32]
Generated Node #2: [21, 36, 32] from Operation: 87-55=32
Current State: 84:[21, 36, 32], Operations: ['87-55=32']
Exploring Operation: 36-32=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 36-32=4
Current State: 84:[21, 4], Operations: ['87-55=32', '36-32=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[87, 21, 55, 36], Operations: []
Exploring Operation: 55-36=19, Resulting Numbers: [87, 21, 19]
Generated Node #0,0: 84:[87, 21, 19] Operation: 55-36=19
Moving to Node #0,0
Current State: 84:[87, 21, 19], Operations: ['55-36=19']
Exploring Operation: 21-19=2, Resulting Numbers: [87, 2]
Generated Node #0,0,0: 84:[87, 2] Operation: 21-19=2
Moving to Node #0,0,0
Current State: 84:[87, 2], Operations: ['55-36=19', '21-19=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,84 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
34,
42,
12,
77
] | 97 | [
"42-34=8",
"12+77=89",
"8+89=97"
] | Current State: 97:[34, 42, 12, 77], Operations: []
Exploring Operation: 42-34=8, Resulting Numbers: [12, 77, 8]
Generated Node #2: [12, 77, 8] from Operation: 42-34=8
Current State: 97:[12, 77, 8], Operations: ['42-34=8']
Exploring Operation: 12+77=89, Resulting Numbers: [8, 89]
Generated Node #3: [8, 89] from Operation: 12+77=89
Current State: 97:[8, 89], Operations: ['42-34=8', '12+77=89']
Exploring Operation: 8+89=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[34, 42, 12, 77], Operations: []
Exploring Operation: 12+77=89, Resulting Numbers: [34, 42, 89]
Generated Node #0,0: 97:[34, 42, 89] Operation: 12+77=89
Exploring Operation: 34+42=76, Resulting Numbers: [12, 77, 76]
Generated Node #0,1: 97:[12, 77, 76] Operation: 34+42=76
Exploring Operation: 34+12=46, Resulting Numbers: [42, 77, 46]
Generated Node #0,2: 97:[42, 77, 46] Operation: 34+12=46
Exploring Operation: 42+12=54, Resulting Numbers: [34, 77, 54]
Generated Node #0,3: 97:[34, 77, 54] Operation: 42+12=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[34, 42, 89], Operations: ['12+77=89']
Exploring Operation: 34+42=76, Resulting Numbers: [89, 76]
Generated Node #0,0,0: 97:[89, 76] Operation: 34+42=76
Exploring Operation: 89-34=55, Resulting Numbers: [42, 55]
Generated Node #0,0,1: 97:[42, 55] Operation: 89-34=55
Exploring Operation: 34+89=123, Resulting Numbers: [42, 123]
Generated Node #0,0,2: 97:[42, 123] Operation: 34+89=123
Exploring Operation: 42-34=8, Resulting Numbers: [89, 8]
Generated Node #0,0,3: 97:[89, 8] Operation: 42-34=8
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[89, 76], Operations: ['12+77=89', '34+42=76']
Exploring Operation: 89+76=165, Resulting Numbers: [165]
165,97 unequal: No Solution
Exploring Operation: 89-76=13, Resulting Numbers: [13]
13,97 unequal: No Solution
Exploring Operation: 89*76=6764, Resulting Numbers: [6764]
6764,97 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 #0,0,2
Current State: 97:[42, 123], Operations: ['12+77=89', '34+89=123']
Exploring Operation: 123-42=81, Resulting Numbers: [81]
81,97 unequal: No Solution
Exploring Operation: 42+123=165, Resulting Numbers: [165]
165,97 unequal: No Solution
Exploring Operation: 42*123=5166, Resulting Numbers: [5166]
5166,97 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 #0,0,1
Current State: 97:[42, 55], Operations: ['12+77=89', '89-34=55']
Exploring Operation: 42*55=2310, Resulting Numbers: [2310]
2310,97 unequal: No Solution
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[34, 42, 12, 77], Operations: []
Exploring Operation: 12+77=89, Resulting Numbers: [34, 42, 89]
Generated Node #0,0: 97:[34, 42, 89] Operation: 12+77=89
Moving to Node #0,0
Current State: 97:[34, 42, 89], Operations: ['12+77=89']
Exploring Operation: 89-34=55, Resulting Numbers: [42, 55]
Generated Node #0,0,1: 97:[42, 55] Operation: 89-34=55
Moving to Node #0,0,1
Current State: 97:[42, 55], Operations: ['12+77=89', '89-34=55']
Exploring Operation: 42+55=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | mult_heuristic |
[
23,
83,
70,
9
] | 94 | [
"83-70=13",
"9*13=117",
"117-23=94"
] | Current State: 94:[23, 83, 70, 9], Operations: []
Exploring Operation: 83-70=13, Resulting Numbers: [23, 9, 13]
Generated Node #2: [23, 9, 13] from Operation: 83-70=13
Current State: 94:[23, 9, 13], Operations: ['83-70=13']
Exploring Operation: 9*13=117, Resulting Numbers: [23, 117]
Generated Node #3: [23, 117] from Operation: 9*13=117
Current State: 94:[23, 117], Operations: ['83-70=13', '9*13=117']
Exploring Operation: 117-23=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 | Current State: 94:[23, 83, 70, 9], Operations: []
Exploring Operation: 23+70=93, Resulting Numbers: [83, 9, 93]
Generated Node #0,0: 94:[83, 9, 93] Operation: 23+70=93
Exploring Operation: 70-23=47, Resulting Numbers: [83, 9, 47]
Generated Node #0,1: 94:[83, 9, 47] Operation: 70-23=47
Start Sub Search at level 1: Moving to Node #0,1
Current State: 94:[83, 9, 47], Operations: ['70-23=47']
Exploring Operation: 83+9=92, Resulting Numbers: [47, 92]
Generated Node #0,1,0: 94:[47, 92] Operation: 83+9=92
Exploring Operation: 83-47=36, Resulting Numbers: [9, 36]
Generated Node #0,1,1: 94:[9, 36] Operation: 83-47=36
Moving to Node #0,1,0
Current State: 94:[47, 92], Operations: ['70-23=47', '83+9=92']
Exploring Operation: 92-47=45, Resulting Numbers: [45]
45,94 unequal: No Solution
Exploring Operation: 47+92=139, Resulting Numbers: [139]
139,94 unequal: No Solution
Moving to Node #0,1,1
Current State: 94:[9, 36], Operations: ['70-23=47', '83-47=36']
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,94 unequal: No Solution
Exploring Operation: 9+36=45, Resulting Numbers: [45]
45,94 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 94:[83, 9, 93], Operations: ['23+70=93']
Exploring Operation: 93-83=10, Resulting Numbers: [9, 10]
Generated Node #0,0,0: 94:[9, 10] Operation: 93-83=10
Exploring Operation: 83+9=92, Resulting Numbers: [93, 92]
Generated Node #0,0,1: 94:[93, 92] Operation: 83+9=92
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 94:[93, 92], Operations: ['23+70=93', '83+9=92']
Exploring Operation: 93-92=1, Resulting Numbers: [1]
1,94 unequal: No Solution
Exploring Operation: 93+92=185, Resulting Numbers: [185]
185,94 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:[9, 10], Operations: ['23+70=93', '93-83=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,94 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,94 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
24,
14,
68,
7
] | 46 | [
"24+68=92",
"14/7=2",
"92/2=46"
] | Current State: 46:[24, 14, 68, 7], Operations: []
Exploring Operation: 24+68=92, Resulting Numbers: [14, 7, 92]
Generated Node #2: [14, 7, 92] from Operation: 24+68=92
Current State: 46:[14, 7, 92], Operations: ['24+68=92']
Exploring Operation: 14/7=2, Resulting Numbers: [92, 2]
Generated Node #3: [92, 2] from Operation: 14/7=2
Current State: 46:[92, 2], Operations: ['24+68=92', '14/7=2']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[24, 14, 68, 7], Operations: []
Exploring Operation: 68-14=54, Resulting Numbers: [24, 7, 54]
Generated Node #0,0: 46:[24, 7, 54] Operation: 68-14=54
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[24, 7, 54], Operations: ['68-14=54']
Exploring Operation: 54-7=47, Resulting Numbers: [24, 47]
Generated Node #0,0,0: 46:[24, 47] Operation: 54-7=47
Moving to Node #0,0,0
Current State: 46:[24, 47], Operations: ['68-14=54', '54-7=47']
Exploring Operation: 47-24=23, Resulting Numbers: [23]
23,46 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 |
[
62,
53,
65,
72
] | 22 | [
"62+53=115",
"65+72=137",
"137-115=22"
] | Current State: 22:[62, 53, 65, 72], Operations: []
Exploring Operation: 62+53=115, Resulting Numbers: [65, 72, 115]
Generated Node #2: [65, 72, 115] from Operation: 62+53=115
Current State: 22:[65, 72, 115], Operations: ['62+53=115']
Exploring Operation: 65+72=137, Resulting Numbers: [115, 137]
Generated Node #3: [115, 137] from Operation: 65+72=137
Current State: 22:[115, 137], Operations: ['62+53=115', '65+72=137']
Exploring Operation: 137-115=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[62, 53, 65, 72], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [53, 65, 10]
Generated Node #0,0: 22:[53, 65, 10] Operation: 72-62=10
Exploring Operation: 72-65=7, Resulting Numbers: [62, 53, 7]
Generated Node #0,1: 22:[62, 53, 7] Operation: 72-65=7
Moving to Node #0,0
Current State: 22:[53, 65, 10], Operations: ['72-62=10']
Exploring Operation: 65-53=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 22:[10, 12] Operation: 65-53=12
Exploring Operation: 53-10=43, Resulting Numbers: [65, 43]
Generated Node #0,0,1: 22:[65, 43] Operation: 53-10=43
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[10, 12], Operations: ['72-62=10', '65-53=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[62, 53, 65, 72], Operations: []
Exploring Operation: 72-62=10, Resulting Numbers: [53, 65, 10]
Generated Node #0,0: 22:[53, 65, 10] Operation: 72-62=10
Moving to Node #0,0
Current State: 22:[53, 65, 10], Operations: ['72-62=10']
Exploring Operation: 65-53=12, Resulting Numbers: [10, 12]
Generated Node #0,0,0: 22:[10, 12] Operation: 65-53=12
Moving to Node #0,0,0
Current State: 22:[10, 12], Operations: ['72-62=10', '65-53=12']
Exploring Operation: 10+12=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
70,
77,
33,
92
] | 52 | [
"77-70=7",
"92-33=59",
"59-7=52"
] | Current State: 52:[70, 77, 33, 92], Operations: []
Exploring Operation: 77-70=7, Resulting Numbers: [33, 92, 7]
Generated Node #2: [33, 92, 7] from Operation: 77-70=7
Current State: 52:[33, 92, 7], Operations: ['77-70=7']
Exploring Operation: 92-33=59, Resulting Numbers: [7, 59]
Generated Node #3: [7, 59] from Operation: 92-33=59
Current State: 52:[7, 59], Operations: ['77-70=7', '92-33=59']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[70, 77, 33, 92], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [70, 33, 15]
Generated Node #0,0: 52:[70, 33, 15] Operation: 92-77=15
Exploring Operation: 92-70=22, Resulting Numbers: [77, 33, 22]
Generated Node #0,1: 52:[77, 33, 22] Operation: 92-70=22
Moving to Node #0,0
Current State: 52:[70, 33, 15], Operations: ['92-77=15']
Exploring Operation: 70-15=55, Resulting Numbers: [33, 55]
Generated Node #0,0,0: 52:[33, 55] Operation: 70-15=55
Exploring Operation: 70-33=37, Resulting Numbers: [15, 37]
Generated Node #0,0,1: 52:[15, 37] Operation: 70-33=37
Moving to Node #0,1
Current State: 52:[77, 33, 22], Operations: ['92-70=22']
Exploring Operation: 77-22=55, Resulting Numbers: [33, 55]
Generated Node #0,1,0: 52:[33, 55] Operation: 77-22=55
Exploring Operation: 77-33=44, Resulting Numbers: [22, 44]
Generated Node #0,1,1: 52:[22, 44] Operation: 77-33=44
Moving to Node #0,0,0
Current State: 52:[33, 55], Operations: ['92-77=15', '70-15=55']
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[33, 55], Operations: ['92-70=22', '77-22=55']
Exploring Operation: 33+55=88, Resulting Numbers: [88]
88,52 unequal: No Solution
Exploring Operation: 55-33=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[22, 44], Operations: ['92-70=22', '77-33=44']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[15, 37], Operations: ['92-77=15', '70-33=37']
Exploring Operation: 37-15=22, Resulting Numbers: [22]
22,52 unequal: No Solution
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[70, 77, 33, 92], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [70, 33, 15]
Generated Node #0,0: 52:[70, 33, 15] Operation: 92-77=15
Moving to Node #0,0
Current State: 52:[70, 33, 15], Operations: ['92-77=15']
Exploring Operation: 70-33=37, Resulting Numbers: [15, 37]
Generated Node #0,0,1: 52:[15, 37] Operation: 70-33=37
Moving to Node #0,0,1
Current State: 52:[15, 37], Operations: ['92-77=15', '70-33=37']
Exploring Operation: 15+37=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.984375 | hs_2 | mult_heuristic |
[
8,
25,
11,
51
] | 42 | [
"11-8=3",
"51/3=17",
"25+17=42"
] | Current State: 42:[8, 25, 11, 51], Operations: []
Exploring Operation: 11-8=3, Resulting Numbers: [25, 51, 3]
Generated Node #2: [25, 51, 3] from Operation: 11-8=3
Current State: 42:[25, 51, 3], Operations: ['11-8=3']
Exploring Operation: 51/3=17, Resulting Numbers: [25, 17]
Generated Node #3: [25, 17] from Operation: 51/3=17
Current State: 42:[25, 17], Operations: ['11-8=3', '51/3=17']
Exploring Operation: 25+17=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[8, 25, 11, 51], Operations: []
Exploring Operation: 51-11=40, Resulting Numbers: [8, 25, 40]
Generated Node #0,0: 42:[8, 25, 40] Operation: 51-11=40
Exploring Operation: 51-8=43, Resulting Numbers: [25, 11, 43]
Generated Node #0,1: 42:[25, 11, 43] Operation: 51-8=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[8, 25, 40], Operations: ['51-11=40']
Exploring Operation: 40-25=15, Resulting Numbers: [8, 15]
Generated Node #0,0,0: 42:[8, 15] Operation: 40-25=15
Exploring Operation: 25-8=17, Resulting Numbers: [40, 17]
Generated Node #0,0,1: 42:[40, 17] Operation: 25-8=17
Moving to Node #0,0,0
Current State: 42:[8, 15], Operations: ['51-11=40', '40-25=15']
Exploring Operation: 8+15=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 15-8=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Moving to Node #0,0,1
Current State: 42:[40, 17], Operations: ['51-11=40', '25-8=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,42 unequal: No Solution
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,42 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
Current State: 42:[25, 11, 43], Operations: ['51-8=43']
Exploring Operation: 25-11=14, Resulting Numbers: [43, 14]
Generated Node #0,1,0: 42:[43, 14] Operation: 25-11=14
Exploring Operation: 43-25=18, Resulting Numbers: [11, 18]
Generated Node #0,1,1: 42:[11, 18] Operation: 43-25=18
Moving to Node #0,1,0
Current State: 42:[43, 14], Operations: ['51-8=43', '25-11=14']
Exploring Operation: 43-14=29, Resulting Numbers: [29]
29,42 unequal: No Solution
Exploring Operation: 43+14=57, Resulting Numbers: [57]
57,42 unequal: No Solution
Moving to Node #0,1,1
Current State: 42:[11, 18], Operations: ['51-8=43', '43-25=18']
Exploring Operation: 18-11=7, Resulting Numbers: [7]
7,42 unequal: No Solution
Exploring Operation: 11+18=29, Resulting Numbers: [29]
29,42 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 |
[
36,
7,
3,
66
] | 81 | [
"36+66=102",
"7*3=21",
"102-21=81"
] | Current State: 81:[36, 7, 3, 66], Operations: []
Exploring Operation: 36+66=102, Resulting Numbers: [7, 3, 102]
Generated Node #2: [7, 3, 102] from Operation: 36+66=102
Current State: 81:[7, 3, 102], Operations: ['36+66=102']
Exploring Operation: 7*3=21, Resulting Numbers: [102, 21]
Generated Node #3: [102, 21] from Operation: 7*3=21
Current State: 81:[102, 21], Operations: ['36+66=102', '7*3=21']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[36, 7, 3, 66], Operations: []
Exploring Operation: 66-36=30, Resulting Numbers: [7, 3, 30]
Generated Node #0,0: 81:[7, 3, 30] Operation: 66-36=30
Exploring Operation: 36-7=29, Resulting Numbers: [3, 66, 29]
Generated Node #0,1: 81:[3, 66, 29] Operation: 36-7=29
Exploring Operation: 66/3=22, Resulting Numbers: [36, 7, 22]
Generated Node #0,2: 81:[36, 7, 22] Operation: 66/3=22
Exploring Operation: 7+66=73, Resulting Numbers: [36, 3, 73]
Generated Node #0,3: 81:[36, 3, 73] Operation: 7+66=73
Moving to Node #0,0
Current State: 81:[7, 3, 30], Operations: ['66-36=30']
Exploring Operation: 7-3=4, Resulting Numbers: [30, 4]
Generated Node #0,0,0: 81:[30, 4] Operation: 7-3=4
Exploring Operation: 30-3=27, Resulting Numbers: [7, 27]
Generated Node #0,0,1: 81:[7, 27] Operation: 30-3=27
Exploring Operation: 7+3=10, Resulting Numbers: [30, 10]
Generated Node #0,0,2: 81:[30, 10] Operation: 7+3=10
Exploring Operation: 30/3=10, Resulting Numbers: [7, 10]
Generated Node #0,0,3: 81:[7, 10] Operation: 30/3=10
Moving to Node #0,2
Current State: 81:[36, 7, 22], Operations: ['66/3=22']
Exploring Operation: 7+22=29, Resulting Numbers: [36, 29]
Generated Node #0,2,0: 81:[36, 29] Operation: 7+22=29
Exploring Operation: 36-7=29, Resulting Numbers: [22, 29]
Generated Node #0,2,1: 81:[22, 29] Operation: 36-7=29
Exploring Operation: 36-22=14, Resulting Numbers: [7, 14]
Generated Node #0,2,2: 81:[7, 14] Operation: 36-22=14
Exploring Operation: 22-7=15, Resulting Numbers: [36, 15]
Generated Node #0,2,3: 81:[36, 15] Operation: 22-7=15
Moving to Node #0,3
Current State: 81:[36, 3, 73], Operations: ['7+66=73']
Exploring Operation: 3+73=76, Resulting Numbers: [36, 76]
Generated Node #0,3,0: 81:[36, 76] Operation: 3+73=76
Exploring Operation: 36/3=12, Resulting Numbers: [73, 12]
Generated Node #0,3,1: 81:[73, 12] Operation: 36/3=12
Exploring Operation: 36-3=33, Resulting Numbers: [73, 33]
Generated Node #0,3,2: 81:[73, 33] Operation: 36-3=33
Exploring Operation: 73-36=37, Resulting Numbers: [3, 37]
Generated Node #0,3,3: 81:[3, 37] Operation: 73-36=37
Moving to Node #0,1
Current State: 81:[3, 66, 29], Operations: ['36-7=29']
Exploring Operation: 66/3=22, Resulting Numbers: [29, 22]
Generated Node #0,1,0: 81:[29, 22] Operation: 66/3=22
Exploring Operation: 3+66=69, Resulting Numbers: [29, 69]
Generated Node #0,1,1: 81:[29, 69] Operation: 3+66=69
Exploring Operation: 66+29=95, Resulting Numbers: [3, 95]
Generated Node #0,1,2: 81:[3, 95] Operation: 66+29=95
Exploring Operation: 66-29=37, Resulting Numbers: [3, 37]
Generated Node #0,1,3: 81:[3, 37] Operation: 66-29=37
Moving to Node #0,0,1
Current State: 81:[7, 27], Operations: ['66-36=30', '30-3=27']
Exploring Operation: 7*27=189, Resulting Numbers: [189]
189,81 unequal: No Solution
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[7, 10], Operations: ['66-36=30', '30/3=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,81 unequal: No Solution
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[30, 4], Operations: ['66-36=30', '7-3=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,81 unequal: No Solution
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 30*4=120, Resulting Numbers: [120]
120,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[30, 10], Operations: ['66-36=30', '7+3=10']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,81 unequal: No Solution
Exploring Operation: 30/10=3, Resulting Numbers: [3]
3,81 unequal: No Solution
Exploring Operation: 30+10=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 30*10=300, Resulting Numbers: [300]
300,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[7, 14], Operations: ['66/3=22', '36-22=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,81 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[29, 22], Operations: ['36-7=29', '66/3=22']
Exploring Operation: 29*22=638, Resulting Numbers: [638]
638,81 unequal: No Solution
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[22, 29], Operations: ['66/3=22', '36-7=29']
Exploring Operation: 22*29=638, Resulting Numbers: [638]
638,81 unequal: No Solution
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[3, 37], Operations: ['36-7=29', '66-29=37']
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,81 unequal: No Solution
Moving to Node #0,3,3
Current State: 81:[3, 37], Operations: ['7+66=73', '73-36=37']
Exploring Operation: 3*37=111, Resulting Numbers: [111]
111,81 unequal: No Solution
Exploring Operation: 37-3=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 3+37=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[36, 29], Operations: ['66/3=22', '7+22=29']
Exploring Operation: 36*29=1044, Resulting Numbers: [1044]
1044,81 unequal: No Solution
Exploring Operation: 36+29=65, Resulting Numbers: [65]
65,81 unequal: No Solution
Exploring Operation: 36-29=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Moving to Node #0,3,1
Current State: 81:[73, 12], Operations: ['7+66=73', '36/3=12']
Exploring Operation: 73+12=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,81 unequal: No Solution
Exploring Operation: 73*12=876, Resulting Numbers: [876]
876,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[29, 69], Operations: ['36-7=29', '3+66=69']
Exploring Operation: 29*69=2001, Resulting Numbers: [2001]
2001,81 unequal: No Solution
Exploring Operation: 29+69=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Moving to Node #0,3,2
Current State: 81:[73, 33], Operations: ['7+66=73', '36-3=33']
Exploring Operation: 73*33=2409, Resulting Numbers: [2409]
2409,81 unequal: No Solution
Exploring Operation: 73-33=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Exploring Operation: 73+33=106, Resulting Numbers: [106]
106,81 unequal: No Solution
Moving to Node #0,1,2
Current State: 81:[3, 95], Operations: ['36-7=29', '66+29=95']
Exploring Operation: 3+95=98, Resulting Numbers: [98]
98,81 unequal: No Solution
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,81 unequal: No Solution
Exploring Operation: 3*95=285, Resulting Numbers: [285]
285,81 unequal: No Solution
Moving to Node #0,3,0
Current State: 81:[36, 76], Operations: ['7+66=73', '3+73=76']
Exploring Operation: 36+76=112, Resulting Numbers: [112]
112,81 unequal: No Solution
Exploring Operation: 36*76=2736, Resulting Numbers: [2736]
2736,81 unequal: No Solution
Exploring Operation: 76-36=40, Resulting Numbers: [40]
40,81 unequal: No Solution
Moving to Node #0,2,3
Current State: 81:[36, 15], Operations: ['66/3=22', '22-7=15']
Exploring Operation: 36-15=21, Resulting Numbers: [21]
21,81 unequal: No Solution
Exploring Operation: 36+15=51, Resulting Numbers: [51]
51,81 unequal: No Solution
Exploring Operation: 36*15=540, Resulting Numbers: [540]
540,81 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
50,
27,
75,
48
] | 51 | [
"50-48=2",
"27+75=102",
"102/2=51"
] | Current State: 51:[50, 27, 75, 48], Operations: []
Exploring Operation: 50-48=2, Resulting Numbers: [27, 75, 2]
Generated Node #2: [27, 75, 2] from Operation: 50-48=2
Current State: 51:[27, 75, 2], Operations: ['50-48=2']
Exploring Operation: 27+75=102, Resulting Numbers: [2, 102]
Generated Node #3: [2, 102] from Operation: 27+75=102
Current State: 51:[2, 102], Operations: ['50-48=2', '27+75=102']
Exploring Operation: 102/2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[50, 27, 75, 48], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [50, 48, 48]
Generated Node #0,0: 51:[50, 48, 48] Operation: 75-27=48
Exploring Operation: 75-48=27, Resulting Numbers: [50, 27, 27]
Generated Node #0,1: 51:[50, 27, 27] Operation: 75-48=27
Exploring Operation: 75-50=25, Resulting Numbers: [27, 48, 25]
Generated Node #0,2: 51:[27, 48, 25] Operation: 75-50=25
Moving to Node #0,0
Current State: 51:[50, 48, 48], Operations: ['75-27=48']
Exploring Operation: 48/48=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 51:[50, 1] Operation: 48/48=1
Exploring Operation: 50-48=2, Resulting Numbers: [48, 2]
Generated Node #0,0,1: 51:[48, 2] Operation: 50-48=2
Exploring Operation: 50-48=2, Resulting Numbers: [48, 2]
Generated Node #0,0,2: 51:[48, 2] Operation: 50-48=2
Moving to Node #0,1
Current State: 51:[50, 27, 27], Operations: ['75-48=27']
Exploring Operation: 27-27=0, Resulting Numbers: [50, 0]
Generated Node #0,1,0: 51:[50, 0] Operation: 27-27=0
Exploring Operation: 27/27=1, Resulting Numbers: [50, 1]
Generated Node #0,1,1: 51:[50, 1] Operation: 27/27=1
Exploring Operation: 27+27=54, Resulting Numbers: [50, 54]
Generated Node #0,1,2: 51:[50, 54] Operation: 27+27=54
Moving to Node #0,2
Current State: 51:[27, 48, 25], Operations: ['75-50=25']
Exploring Operation: 48-27=21, Resulting Numbers: [25, 21]
Generated Node #0,2,0: 51:[25, 21] Operation: 48-27=21
Exploring Operation: 27+25=52, Resulting Numbers: [48, 52]
Generated Node #0,2,1: 51:[48, 52] Operation: 27+25=52
Exploring Operation: 27-25=2, Resulting Numbers: [48, 2]
Generated Node #0,2,2: 51:[48, 2] Operation: 27-25=2
Moving to Node #0,0,0
Current State: 51:[50, 1], Operations: ['75-27=48', '48/48=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[50, 27, 75, 48], Operations: []
Exploring Operation: 75-27=48, Resulting Numbers: [50, 48, 48]
Generated Node #0,0: 51:[50, 48, 48] Operation: 75-27=48
Moving to Node #0,0
Current State: 51:[50, 48, 48], Operations: ['75-27=48']
Exploring Operation: 48/48=1, Resulting Numbers: [50, 1]
Generated Node #0,0,0: 51:[50, 1] Operation: 48/48=1
Moving to Node #0,0,0
Current State: 51:[50, 1], Operations: ['75-27=48', '48/48=1']
Exploring Operation: 50+1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 0.985243 | hs_3 | sum_heuristic |
[
50,
59,
74,
25
] | 11 | [
"59-50=9",
"74+25=99",
"99/9=11"
] | Current State: 11:[50, 59, 74, 25], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [74, 25, 9]
Generated Node #2: [74, 25, 9] from Operation: 59-50=9
Current State: 11:[74, 25, 9], Operations: ['59-50=9']
Exploring Operation: 74+25=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 74+25=99
Current State: 11:[9, 99], Operations: ['59-50=9', '74+25=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[50, 59, 74, 25], Operations: []
Exploring Operation: 74-50=24, Resulting Numbers: [59, 25, 24]
Generated Node #0,0: 11:[59, 25, 24] Operation: 74-50=24
Exploring Operation: 59-50=9, Resulting Numbers: [74, 25, 9]
Generated Node #0,1: 11:[74, 25, 9] Operation: 59-50=9
Exploring Operation: 74-59=15, Resulting Numbers: [50, 25, 15]
Generated Node #0,2: 11:[50, 25, 15] Operation: 74-59=15
Moving to Node #0,2
Current State: 11:[50, 25, 15], Operations: ['74-59=15']
Exploring Operation: 50/25=2, Resulting Numbers: [15, 2]
Generated Node #0,2,0: 11:[15, 2] Operation: 50/25=2
Exploring Operation: 50-25=25, Resulting Numbers: [15, 25]
Generated Node #0,2,1: 11:[15, 25] Operation: 50-25=25
Exploring Operation: 50-15=35, Resulting Numbers: [25, 35]
Generated Node #0,2,2: 11:[25, 35] Operation: 50-15=35
Moving to Node #0,0
Current State: 11:[59, 25, 24], Operations: ['74-50=24']
Exploring Operation: 25-24=1, Resulting Numbers: [59, 1]
Generated Node #0,0,0: 11:[59, 1] Operation: 25-24=1
Exploring Operation: 59-25=34, Resulting Numbers: [24, 34]
Generated Node #0,0,1: 11:[24, 34] Operation: 59-25=34
Exploring Operation: 59-24=35, Resulting Numbers: [25, 35]
Generated Node #0,0,2: 11:[25, 35] Operation: 59-24=35
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[24, 34], Operations: ['74-50=24', '59-25=34']
Exploring Operation: 34-24=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 24+34=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 24*34=816, Resulting Numbers: [816]
816,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 11:[25, 35], Operations: ['74-50=24', '59-24=35']
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,11 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 11:[59, 1], Operations: ['74-50=24', '25-24=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,11 unequal: No Solution
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,11 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 11:[74, 25, 9], Operations: ['59-50=9']
Exploring Operation: 25-9=16, Resulting Numbers: [74, 16]
Generated Node #0,1,0: 11:[74, 16] Operation: 25-9=16
Exploring Operation: 74-25=49, Resulting Numbers: [9, 49]
Generated Node #0,1,1: 11:[9, 49] Operation: 74-25=49
Exploring Operation: 74-9=65, Resulting Numbers: [25, 65]
Generated Node #0,1,2: 11:[25, 65] Operation: 74-9=65
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[9, 49], Operations: ['59-50=9', '74-25=49']
Exploring Operation: 9+49=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 9*49=441, Resulting Numbers: [441]
441,11 unequal: No Solution
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 11:[74, 16], Operations: ['59-50=9', '25-9=16']
Exploring Operation: 74-16=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 74*16=1184, Resulting Numbers: [1184]
1184,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 11:[25, 65], Operations: ['59-50=9', '74-9=65']
Exploring Operation: 25+65=90, Resulting Numbers: [90]
90,11 unequal: No Solution
Exploring Operation: 25*65=1625, Resulting Numbers: [1625]
1625,11 unequal: No Solution
Exploring Operation: 65-25=40, Resulting Numbers: [40]
40,11 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,0
Current State: 11:[15, 2], Operations: ['74-59=15', '50/25=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,11 unequal: No Solution
Exploring Operation: 15+2=17, Resulting Numbers: [17]
17,11 unequal: No Solution
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[15, 25], Operations: ['74-59=15', '50-25=25']
Exploring Operation: 15+25=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Exploring Operation: 25-15=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 15*25=375, Resulting Numbers: [375]
375,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[25, 35], Operations: ['74-59=15', '50-15=35']
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,11 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,11 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,11 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
62,
88,
42,
44
] | 57 | [
"44-42=2",
"62/2=31",
"88-31=57"
] | Current State: 57:[62, 88, 42, 44], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [62, 88, 2]
Generated Node #2: [62, 88, 2] from Operation: 44-42=2
Current State: 57:[62, 88, 2], Operations: ['44-42=2']
Exploring Operation: 62/2=31, Resulting Numbers: [88, 31]
Generated Node #3: [88, 31] from Operation: 62/2=31
Current State: 57:[88, 31], Operations: ['44-42=2', '62/2=31']
Exploring Operation: 88-31=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[62, 88, 42, 44], Operations: []
Exploring Operation: 88-42=46, Resulting Numbers: [62, 44, 46]
Generated Node #0,0: 57:[62, 44, 46] Operation: 88-42=46
Exploring Operation: 88/44=2, Resulting Numbers: [62, 42, 2]
Generated Node #0,1: 57:[62, 42, 2] Operation: 88/44=2
Moving to Node #0,1
Current State: 57:[62, 42, 2], Operations: ['88/44=2']
Exploring Operation: 42/2=21, Resulting Numbers: [62, 21]
Generated Node #0,1,0: 57:[62, 21] Operation: 42/2=21
Exploring Operation: 62-42=20, Resulting Numbers: [2, 20]
Generated Node #0,1,1: 57:[2, 20] Operation: 62-42=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[2, 20], Operations: ['88/44=2', '62-42=20']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,57 unequal: No Solution
Exploring Operation: 2+20=22, Resulting Numbers: [22]
22,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[62, 21], Operations: ['88/44=2', '42/2=21']
Exploring Operation: 62+21=83, Resulting Numbers: [83]
83,57 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 57:[62, 44, 46], Operations: ['88-42=46']
Exploring Operation: 62-44=18, Resulting Numbers: [46, 18]
Generated Node #0,0,0: 57:[46, 18] Operation: 62-44=18
Exploring Operation: 46-44=2, Resulting Numbers: [62, 2]
Generated Node #0,0,1: 57:[62, 2] Operation: 46-44=2
Moving to Node #0,0,1
Current State: 57:[62, 2], Operations: ['88-42=46', '46-44=2']
Exploring Operation: 62+2=64, Resulting Numbers: [64]
64,57 unequal: No Solution
Exploring Operation: 62-2=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Moving to Node #0,0,0
Current State: 57:[46, 18], Operations: ['88-42=46', '62-44=18']
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,57 unequal: No Solution
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,57 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
56,
49,
92,
84
] | 71 | [
"56+49=105",
"92+84=176",
"176-105=71"
] | Current State: 71:[56, 49, 92, 84], Operations: []
Exploring Operation: 56+49=105, Resulting Numbers: [92, 84, 105]
Generated Node #2: [92, 84, 105] from Operation: 56+49=105
Current State: 71:[92, 84, 105], Operations: ['56+49=105']
Exploring Operation: 92+84=176, Resulting Numbers: [105, 176]
Generated Node #3: [105, 176] from Operation: 92+84=176
Current State: 71:[105, 176], Operations: ['56+49=105', '92+84=176']
Exploring Operation: 176-105=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[56, 49, 92, 84], Operations: []
Exploring Operation: 56+49=105, Resulting Numbers: [92, 84, 105]
Generated Node #0,0: 71:[92, 84, 105] Operation: 56+49=105
Exploring Operation: 92-56=36, Resulting Numbers: [49, 84, 36]
Generated Node #0,1: 71:[49, 84, 36] Operation: 92-56=36
Exploring Operation: 92-49=43, Resulting Numbers: [56, 84, 43]
Generated Node #0,2: 71:[56, 84, 43] Operation: 92-49=43
Exploring Operation: 84-49=35, Resulting Numbers: [56, 92, 35]
Generated Node #0,3: 71:[56, 92, 35] Operation: 84-49=35
Start Sub Search at level 1: Moving to Node #0,2
Current State: 71:[56, 84, 43], Operations: ['92-49=43']
Exploring Operation: 56+43=99, Resulting Numbers: [84, 99]
Generated Node #0,2,0: 71:[84, 99] Operation: 56+43=99
Exploring Operation: 84-56=28, Resulting Numbers: [43, 28]
Generated Node #0,2,1: 71:[43, 28] Operation: 84-56=28
Exploring Operation: 84-43=41, Resulting Numbers: [56, 41]
Generated Node #0,2,2: 71:[56, 41] Operation: 84-43=41
Exploring Operation: 56-43=13, Resulting Numbers: [84, 13]
Generated Node #0,2,3: 71:[84, 13] Operation: 56-43=13
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 71:[84, 99], Operations: ['92-49=43', '56+43=99']
Exploring Operation: 84*99=8316, Resulting Numbers: [8316]
8316,71 unequal: No Solution
Exploring Operation: 99-84=15, Resulting Numbers: [15]
15,71 unequal: No Solution
Exploring Operation: 84+99=183, Resulting Numbers: [183]
183,71 unequal: No Solution
No 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: 71:[56, 41], Operations: ['92-49=43', '84-43=41']
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,71 unequal: No Solution
Exploring Operation: 56*41=2296, Resulting Numbers: [2296]
2296,71 unequal: No Solution
Exploring Operation: 56-41=15, Resulting Numbers: [15]
15,71 unequal: No Solution
No 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: 71:[43, 28], Operations: ['92-49=43', '84-56=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Moving to Node #0
Current State: 71:[56, 49, 92, 84], Operations: []
Exploring Operation: 92-49=43, Resulting Numbers: [56, 84, 43]
Generated Node #0,2: 71:[56, 84, 43] Operation: 92-49=43
Moving to Node #0,2
Current State: 71:[56, 84, 43], Operations: ['92-49=43']
Exploring Operation: 84-56=28, Resulting Numbers: [43, 28]
Generated Node #0,2,1: 71:[43, 28] Operation: 84-56=28
Moving to Node #0,2,1
Current State: 71:[43, 28], Operations: ['92-49=43', '84-56=28']
Exploring Operation: 43+28=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_4 | sum_heuristic |
[
10,
13,
71,
14
] | 73 | [
"10*13=130",
"71-14=57",
"130-57=73"
] | Current State: 73:[10, 13, 71, 14], Operations: []
Exploring Operation: 10*13=130, Resulting Numbers: [71, 14, 130]
Generated Node #2: [71, 14, 130] from Operation: 10*13=130
Current State: 73:[71, 14, 130], Operations: ['10*13=130']
Exploring Operation: 71-14=57, Resulting Numbers: [130, 57]
Generated Node #3: [130, 57] from Operation: 71-14=57
Current State: 73:[130, 57], Operations: ['10*13=130', '71-14=57']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[10, 13, 71, 14], Operations: []
Exploring Operation: 10*13=130, Resulting Numbers: [71, 14, 130]
Generated Node #0,0: 73:[71, 14, 130] Operation: 10*13=130
Exploring Operation: 13+14=27, Resulting Numbers: [10, 71, 27]
Generated Node #0,1: 73:[10, 71, 27] Operation: 13+14=27
Exploring Operation: 10+13=23, Resulting Numbers: [71, 14, 23]
Generated Node #0,2: 73:[71, 14, 23] Operation: 10+13=23
Exploring Operation: 10+71=81, Resulting Numbers: [13, 14, 81]
Generated Node #0,3: 73:[13, 14, 81] Operation: 10+71=81
Exploring Operation: 10+14=24, Resulting Numbers: [13, 71, 24]
Generated Node #0,4: 73:[13, 71, 24] Operation: 10+14=24
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[10, 71, 27], Operations: ['13+14=27']
Exploring Operation: 10+27=37, Resulting Numbers: [71, 37]
Generated Node #0,1,0: 73:[71, 37] Operation: 10+27=37
Exploring Operation: 71-10=61, Resulting Numbers: [27, 61]
Generated Node #0,1,1: 73:[27, 61] Operation: 71-10=61
Exploring Operation: 27-10=17, Resulting Numbers: [71, 17]
Generated Node #0,1,2: 73:[71, 17] Operation: 27-10=17
Exploring Operation: 71+27=98, Resulting Numbers: [10, 98]
Generated Node #0,1,3: 73:[10, 98] Operation: 71+27=98
Exploring Operation: 10+71=81, Resulting Numbers: [27, 81]
Generated Node #0,1,4: 73:[27, 81] Operation: 10+71=81
Moving to Node #0,1,0
Current State: 73:[71, 37], Operations: ['13+14=27', '10+27=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,73 unequal: No Solution
Moving to Node #0,1,4
Current State: 73:[27, 81], Operations: ['13+14=27', '10+71=81']
Exploring Operation: 81/27=3, Resulting Numbers: [3]
3,73 unequal: No Solution
Exploring Operation: 27+81=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 27*81=2187, Resulting Numbers: [2187]
2187,73 unequal: No Solution
Exploring Operation: 81-27=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[27, 61], Operations: ['13+14=27', '71-10=61']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 27*61=1647, Resulting Numbers: [1647]
1647,73 unequal: No Solution
Exploring Operation: 27+61=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Moving to Node #0,1,2
Current State: 73:[71, 17], Operations: ['13+14=27', '27-10=17']
Exploring Operation: 71-17=54, Resulting Numbers: [54]
54,73 unequal: No Solution
Exploring Operation: 71+17=88, Resulting Numbers: [88]
88,73 unequal: No Solution
Exploring Operation: 71*17=1207, Resulting Numbers: [1207]
1207,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[10, 98], Operations: ['13+14=27', '71+27=98']
Exploring Operation: 10*98=980, Resulting Numbers: [980]
980,73 unequal: No Solution
Exploring Operation: 10+98=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,73 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:[71, 14, 23], Operations: ['10+13=23']
Exploring Operation: 71+23=94, Resulting Numbers: [14, 94]
Generated Node #0,2,0: 73:[14, 94] Operation: 71+23=94
Exploring Operation: 71+14=85, Resulting Numbers: [23, 85]
Generated Node #0,2,1: 73:[23, 85] Operation: 71+14=85
Exploring Operation: 23-14=9, Resulting Numbers: [71, 9]
Generated Node #0,2,2: 73:[71, 9] Operation: 23-14=9
Exploring Operation: 14+23=37, Resulting Numbers: [71, 37]
Generated Node #0,2,3: 73:[71, 37] Operation: 14+23=37
Exploring Operation: 71-14=57, Resulting Numbers: [23, 57]
Generated Node #0,2,4: 73:[23, 57] Operation: 71-14=57
Moving to Node #0,2,3
Current State: 73:[71, 37], Operations: ['10+13=23', '14+23=37']
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,73 unequal: No Solution
Moving to Node #0,2,1
Current State: 73:[23, 85], Operations: ['10+13=23', '71+14=85']
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,73 unequal: No Solution
Exploring Operation: 23*85=1955, Resulting Numbers: [1955]
1955,73 unequal: No Solution
Exploring Operation: 23+85=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[71, 9], Operations: ['10+13=23', '23-14=9']
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,73 unequal: No Solution
Exploring Operation: 71*9=639, Resulting Numbers: [639]
639,73 unequal: No Solution
Moving to Node #0,2,4
Current State: 73:[23, 57], Operations: ['10+13=23', '71-14=57']
Exploring Operation: 23+57=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 23*57=1311, Resulting Numbers: [1311]
1311,73 unequal: No Solution
Exploring Operation: 57-23=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[14, 94], Operations: ['10+13=23', '71+23=94']
Exploring Operation: 14*94=1316, Resulting Numbers: [1316]
1316,73 unequal: No Solution
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,73 unequal: No Solution
Exploring Operation: 14+94=108, Resulting Numbers: [108]
108,73 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 #0,4
Current State: 73:[13, 71, 24], Operations: ['10+14=24']
Exploring Operation: 71+24=95, Resulting Numbers: [13, 95]
Generated Node #0,4,0: 73:[13, 95] Operation: 71+24=95
Exploring Operation: 13+71=84, Resulting Numbers: [24, 84]
Generated Node #0,4,1: 73:[24, 84] Operation: 13+71=84
Exploring Operation: 13+24=37, Resulting Numbers: [71, 37]
Generated Node #0,4,2: 73:[71, 37] Operation: 13+24=37
Exploring Operation: 24-13=11, Resulting Numbers: [71, 11]
Generated Node #0,4,3: 73:[71, 11] Operation: 24-13=11
Exploring Operation: 71-13=58, Resulting Numbers: [24, 58]
Generated Node #0,4,4: 73:[24, 58] Operation: 71-13=58
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 73:[71, 37], Operations: ['10+14=24', '13+24=37']
Exploring Operation: 71-37=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 71+37=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 71*37=2627, Resulting Numbers: [2627]
2627,73 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 #0,4,1
Current State: 73:[24, 84], Operations: ['10+14=24', '13+71=84']
Exploring Operation: 24*84=2016, Resulting Numbers: [2016]
2016,73 unequal: No Solution
Exploring Operation: 24+84=108, Resulting Numbers: [108]
108,73 unequal: No Solution
Exploring Operation: 84-24=60, Resulting Numbers: [60]
60,73 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 #0,4,3
Current State: 73:[71, 11], Operations: ['10+14=24', '24-13=11']
Exploring Operation: 71+11=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 71*11=781, Resulting Numbers: [781]
781,73 unequal: No Solution
Exploring Operation: 71-11=60, Resulting Numbers: [60]
60,73 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 #0,4,4
Current State: 73:[24, 58], Operations: ['10+14=24', '71-13=58']
Exploring Operation: 58-24=34, Resulting Numbers: [34]
34,73 unequal: No Solution
Exploring Operation: 24+58=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 24*58=1392, Resulting Numbers: [1392]
1392,73 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 #0,4,0
Current State: 73:[13, 95], Operations: ['10+14=24', '71+24=95']
Exploring Operation: 95-13=82, Resulting Numbers: [82]
82,73 unequal: No Solution
Exploring Operation: 13*95=1235, Resulting Numbers: [1235]
1235,73 unequal: No Solution
Exploring Operation: 13+95=108, Resulting Numbers: [108]
108,73 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[71, 14, 130], Operations: ['10*13=130']
Exploring Operation: 130-14=116, Resulting Numbers: [71, 116]
Generated Node #0,0,0: 73:[71, 116] Operation: 130-14=116
Exploring Operation: 71-14=57, Resulting Numbers: [130, 57]
Generated Node #0,0,1: 73:[130, 57] Operation: 71-14=57
Exploring Operation: 130-71=59, Resulting Numbers: [14, 59]
Generated Node #0,0,2: 73:[14, 59] Operation: 130-71=59
Exploring Operation: 71+14=85, Resulting Numbers: [130, 85]
Generated Node #0,0,3: 73:[130, 85] Operation: 71+14=85
Exploring Operation: 14+130=144, Resulting Numbers: [71, 144]
Generated Node #0,0,4: 73:[71, 144] Operation: 14+130=144
Moving to Node #0,0,0
Current State: 73:[71, 116], Operations: ['10*13=130', '130-14=116']
Exploring Operation: 116-71=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 71*116=8236, Resulting Numbers: [8236]
8236,73 unequal: No Solution
Exploring Operation: 71+116=187, Resulting Numbers: [187]
187,73 unequal: No Solution
Moving to Node #0,0,3
Current State: 73:[130, 85], Operations: ['10*13=130', '71+14=85']
Exploring Operation: 130-85=45, Resulting Numbers: [45]
45,73 unequal: No Solution
Exploring Operation: 130+85=215, Resulting Numbers: [215]
215,73 unequal: No Solution
Exploring Operation: 130*85=11050, Resulting Numbers: [11050]
11050,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[130, 57], Operations: ['10*13=130', '71-14=57']
Exploring Operation: 130*57=7410, Resulting Numbers: [7410]
7410,73 unequal: No Solution
Exploring Operation: 130+57=187, Resulting Numbers: [187]
187,73 unequal: No Solution
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Moving to Node #0
Current State: 73:[10, 13, 71, 14], Operations: []
Exploring Operation: 10*13=130, Resulting Numbers: [71, 14, 130]
Generated Node #0,0: 73:[71, 14, 130] Operation: 10*13=130
Moving to Node #0,0
Current State: 73:[71, 14, 130], Operations: ['10*13=130']
Exploring Operation: 71-14=57, Resulting Numbers: [130, 57]
Generated Node #0,0,1: 73:[130, 57] Operation: 71-14=57
Moving to Node #0,0,1
Current State: 73:[130, 57], Operations: ['10*13=130', '71-14=57']
Exploring Operation: 130-57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
Exit Sub Search at level 1
| 0.927083 | hs_5 | mult_heuristic |
[
47,
39,
42,
94
] | 83 | [
"94/47=2",
"39+42=81",
"2+81=83"
] | Current State: 83:[47, 39, 42, 94], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [39, 42, 2]
Generated Node #2: [39, 42, 2] from Operation: 94/47=2
Current State: 83:[39, 42, 2], Operations: ['94/47=2']
Exploring Operation: 39+42=81, Resulting Numbers: [2, 81]
Generated Node #3: [2, 81] from Operation: 39+42=81
Current State: 83:[2, 81], Operations: ['94/47=2', '39+42=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 | Current State: 83:[47, 39, 42, 94], Operations: []
Exploring Operation: 47+42=89, Resulting Numbers: [39, 94, 89]
Generated Node #0,0: 83:[39, 94, 89] Operation: 47+42=89
Exploring Operation: 39+42=81, Resulting Numbers: [47, 94, 81]
Generated Node #0,1: 83:[47, 94, 81] Operation: 39+42=81
Exploring Operation: 47+39=86, Resulting Numbers: [42, 94, 86]
Generated Node #0,2: 83:[42, 94, 86] Operation: 47+39=86
Exploring Operation: 94-39=55, Resulting Numbers: [47, 42, 55]
Generated Node #0,3: 83:[47, 42, 55] Operation: 94-39=55
Start Sub Search at level 1: Moving to Node #0,1
Current State: 83:[47, 94, 81], Operations: ['39+42=81']
Exploring Operation: 81-47=34, Resulting Numbers: [94, 34]
Generated Node #0,1,0: 83:[94, 34] Operation: 81-47=34
Exploring Operation: 47+94=141, Resulting Numbers: [81, 141]
Generated Node #0,1,1: 83:[81, 141] Operation: 47+94=141
Exploring Operation: 94-47=47, Resulting Numbers: [81, 47]
Generated Node #0,1,2: 83:[81, 47] Operation: 94-47=47
Exploring Operation: 47+81=128, Resulting Numbers: [94, 128]
Generated Node #0,1,3: 83:[94, 128] Operation: 47+81=128
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 83:[81, 47], Operations: ['39+42=81', '94-47=47']
Exploring Operation: 81+47=128, Resulting Numbers: [128]
128,83 unequal: No Solution
Exploring Operation: 81*47=3807, Resulting Numbers: [3807]
3807,83 unequal: No Solution
Exploring Operation: 81-47=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 83:[94, 128], Operations: ['39+42=81', '47+81=128']
Exploring Operation: 94+128=222, Resulting Numbers: [222]
222,83 unequal: No Solution
Exploring Operation: 94*128=12032, Resulting Numbers: [12032]
12032,83 unequal: No Solution
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 83:[94, 34], Operations: ['39+42=81', '81-47=34']
Exploring Operation: 94-34=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 94+34=128, Resulting Numbers: [128]
128,83 unequal: No Solution
Exploring Operation: 94*34=3196, Resulting Numbers: [3196]
3196,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 83:[81, 141], Operations: ['39+42=81', '47+94=141']
Exploring Operation: 141-81=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 81+141=222, Resulting Numbers: [222]
222,83 unequal: No Solution
Exploring Operation: 81*141=11421, Resulting Numbers: [11421]
11421,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 83:[42, 94, 86], Operations: ['47+39=86']
Exploring Operation: 42+86=128, Resulting Numbers: [94, 128]
Generated Node #0,2,0: 83:[94, 128] Operation: 42+86=128
Exploring Operation: 94-42=52, Resulting Numbers: [86, 52]
Generated Node #0,2,1: 83:[86, 52] Operation: 94-42=52
Exploring Operation: 86-42=44, Resulting Numbers: [94, 44]
Generated Node #0,2,2: 83:[94, 44] Operation: 86-42=44
Exploring Operation: 42+94=136, Resulting Numbers: [86, 136]
Generated Node #0,2,3: 83:[86, 136] Operation: 42+94=136
Moving to Node #0,2,1
Current State: 83:[86, 52], Operations: ['47+39=86', '94-42=52']
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,83 unequal: No Solution
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Moving to Node #0,2,2
Current State: 83:[94, 44], Operations: ['47+39=86', '86-42=44']
Exploring Operation: 94+44=138, Resulting Numbers: [138]
138,83 unequal: No Solution
Exploring Operation: 94*44=4136, Resulting Numbers: [4136]
4136,83 unequal: No Solution
Exploring Operation: 94-44=50, Resulting Numbers: [50]
50,83 unequal: No Solution
Moving to Node #0,2,3
Current State: 83:[86, 136], Operations: ['47+39=86', '42+94=136']
Exploring Operation: 86*136=11696, Resulting Numbers: [11696]
11696,83 unequal: No Solution
Exploring Operation: 86+136=222, Resulting Numbers: [222]
222,83 unequal: No Solution
Exploring Operation: 136-86=50, Resulting Numbers: [50]
50,83 unequal: No Solution
Moving to Node #0,2,0
Current State: 83:[94, 128], Operations: ['47+39=86', '42+86=128']
Exploring Operation: 94*128=12032, Resulting Numbers: [12032]
12032,83 unequal: No Solution
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 94+128=222, Resulting Numbers: [222]
222,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 83:[39, 94, 89], Operations: ['47+42=89']
Exploring Operation: 89-39=50, Resulting Numbers: [94, 50]
Generated Node #0,0,0: 83:[94, 50] Operation: 89-39=50
Exploring Operation: 94-39=55, Resulting Numbers: [89, 55]
Generated Node #0,0,1: 83:[89, 55] Operation: 94-39=55
Exploring Operation: 39+94=133, Resulting Numbers: [89, 133]
Generated Node #0,0,2: 83:[89, 133] Operation: 39+94=133
Exploring Operation: 39+89=128, Resulting Numbers: [94, 128]
Generated Node #0,0,3: 83:[94, 128] Operation: 39+89=128
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 83:[89, 55], Operations: ['47+42=89', '94-39=55']
Exploring Operation: 89*55=4895, Resulting Numbers: [4895]
4895,83 unequal: No Solution
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 89+55=144, Resulting Numbers: [144]
144,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 83:[94, 50], Operations: ['47+42=89', '89-39=50']
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 94+50=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 94*50=4700, Resulting Numbers: [4700]
4700,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 83:[89, 133], Operations: ['47+42=89', '39+94=133']
Exploring Operation: 133-89=44, Resulting Numbers: [44]
44,83 unequal: No Solution
Exploring Operation: 89*133=11837, Resulting Numbers: [11837]
11837,83 unequal: No Solution
Exploring Operation: 89+133=222, Resulting Numbers: [222]
222,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 83:[94, 128], Operations: ['47+42=89', '39+89=128']
Exploring Operation: 94+128=222, Resulting Numbers: [222]
222,83 unequal: No Solution
Exploring Operation: 128-94=34, Resulting Numbers: [34]
34,83 unequal: No Solution
Exploring Operation: 94*128=12032, Resulting Numbers: [12032]
12032,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 83:[47, 42, 55], Operations: ['94-39=55']
Exploring Operation: 42+55=97, Resulting Numbers: [47, 97]
Generated Node #0,3,0: 83:[47, 97] Operation: 42+55=97
Exploring Operation: 47+42=89, Resulting Numbers: [55, 89]
Generated Node #0,3,1: 83:[55, 89] Operation: 47+42=89
Exploring Operation: 47+55=102, Resulting Numbers: [42, 102]
Generated Node #0,3,2: 83:[42, 102] Operation: 47+55=102
Exploring Operation: 47-42=5, Resulting Numbers: [55, 5]
Generated Node #0,3,3: 83:[55, 5] Operation: 47-42=5
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 83:[55, 89], Operations: ['94-39=55', '47+42=89']
Exploring Operation: 55+89=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 55*89=4895, Resulting Numbers: [4895]
4895,83 unequal: No Solution
Exploring Operation: 89-55=34, Resulting Numbers: [34]
34,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 83:[47, 97], Operations: ['94-39=55', '42+55=97']
Exploring Operation: 47+97=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 47*97=4559, Resulting Numbers: [4559]
4559,83 unequal: No Solution
Exploring Operation: 97-47=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 83:[42, 102], Operations: ['94-39=55', '47+55=102']
Exploring Operation: 42+102=144, Resulting Numbers: [144]
144,83 unequal: No Solution
Exploring Operation: 102-42=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 42*102=4284, Resulting Numbers: [4284]
4284,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 83:[55, 5], Operations: ['94-39=55', '47-42=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,83 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,83 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,83 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,83 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
46,
47,
46,
58
] | 81 | [
"46+47=93",
"58-46=12",
"93-12=81"
] | Current State: 81:[46, 47, 46, 58], Operations: []
Exploring Operation: 46+47=93, Resulting Numbers: [58, 93]
Generated Node #2: [58, 93] from Operation: 46+47=93
Current State: 81:[58, 93], Operations: ['46+47=93']
Exploring Operation: 58-46=12, Resulting Numbers: [93, 12]
Generated Node #3: [93, 12] from Operation: 58-46=12
Current State: 81:[93, 12], Operations: ['46+47=93', '58-46=12']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[46, 47, 46, 58], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [46, 46, 11]
Generated Node #0,0: 81:[46, 46, 11] Operation: 58-47=11
Exploring Operation: 47-46=1, Resulting Numbers: [46, 58, 1]
Generated Node #0,1: 81:[46, 58, 1] Operation: 47-46=1
Exploring Operation: 58-46=12, Resulting Numbers: [46, 47, 12]
Generated Node #0,2: 81:[46, 47, 12] Operation: 58-46=12
Exploring Operation: 58-46=12, Resulting Numbers: [47, 46, 12]
Generated Node #0,3: 81:[47, 46, 12] Operation: 58-46=12
Moving to Node #0,0
Current State: 81:[46, 46, 11], Operations: ['58-47=11']
Exploring Operation: 46/46=1, Resulting Numbers: [11, 1]
Generated Node #0,0,0: 81:[11, 1] Operation: 46/46=1
Exploring Operation: 46+46=92, Resulting Numbers: [11, 92]
Generated Node #0,0,1: 81:[11, 92] Operation: 46+46=92
Exploring Operation: 46-46=0, Resulting Numbers: [11, 0]
Generated Node #0,0,2: 81:[11, 0] Operation: 46-46=0
Exploring Operation: 46-11=35, Resulting Numbers: [46, 35]
Generated Node #0,0,3: 81:[46, 35] Operation: 46-11=35
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[11, 1], Operations: ['58-47=11', '46/46=1']
Exploring Operation: 11/1=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,81 unequal: No Solution
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,81 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 #0,0,2
Current State: 81:[11, 0], Operations: ['58-47=11', '46-46=0']
Exploring Operation: 11+0=11, Resulting Numbers: [11]
11,81 unequal: No Solution
Exploring Operation: 11*0=0, Resulting Numbers: [0]
0,81 unequal: No Solution
Exploring Operation: 11-0=11, Resulting Numbers: [11]
11,81 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 #0,0,1
Current State: 81:[11, 92], Operations: ['58-47=11', '46+46=92']
Exploring Operation: 11*92=1012, Resulting Numbers: [1012]
1012,81 unequal: No Solution
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[46, 47, 46, 58], Operations: []
Exploring Operation: 58-47=11, Resulting Numbers: [46, 46, 11]
Generated Node #0,0: 81:[46, 46, 11] Operation: 58-47=11
Moving to Node #0,0
Current State: 81:[46, 46, 11], Operations: ['58-47=11']
Exploring Operation: 46+46=92, Resulting Numbers: [11, 92]
Generated Node #0,0,1: 81:[11, 92] Operation: 46+46=92
Moving to Node #0,0,1
Current State: 81:[11, 92], Operations: ['58-47=11', '46+46=92']
Exploring Operation: 92-11=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_4 | sum_heuristic |
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