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 |
|---|---|---|---|---|---|---|---|---|
[
73,
59,
60,
7
] | 53 | [
"73-59=14",
"60+7=67",
"67-14=53"
] | Current State: 53:[73, 59, 60, 7], Operations: []
Exploring Operation: 73-59=14, Resulting Numbers: [60, 7, 14]
Generated Node #2: [60, 7, 14] from Operation: 73-59=14
Current State: 53:[60, 7, 14], Operations: ['73-59=14']
Exploring Operation: 60+7=67, Resulting Numbers: [14, 67]
Generated Node #3: [14, 67] from Operation: 60+7=67
Current State: 53:[14, 67], Operations: ['73-59=14', '60+7=67']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[73, 59, 60, 7], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [59, 60, 66]
Generated Node #0,0: 53:[59, 60, 66] Operation: 73-7=66
Moving to Node #0,0
Current State: 53:[59, 60, 66], Operations: ['73-7=66']
Exploring Operation: 66-59=7, Resulting Numbers: [60, 7]
Generated Node #0,0,0: 53:[60, 7] Operation: 66-59=7
Moving to Node #0,0,0
Current State: 53:[60, 7], Operations: ['73-7=66', '66-59=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[73, 59, 60, 7], Operations: []
Exploring Operation: 73-7=66, Resulting Numbers: [59, 60, 66]
Generated Node #0,0: 53:[59, 60, 66] Operation: 73-7=66
Moving to Node #0,0
Current State: 53:[59, 60, 66], Operations: ['73-7=66']
Exploring Operation: 66-59=7, Resulting Numbers: [60, 7]
Generated Node #0,0,0: 53:[60, 7] Operation: 66-59=7
Moving to Node #0,0,0
Current State: 53:[60, 7], Operations: ['73-7=66', '66-59=7']
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 0.993924 | hs_1 | sum_heuristic |
[
11,
12,
60,
98
] | 15 | [
"11+12=23",
"98-60=38",
"38-23=15"
] | Current State: 15:[11, 12, 60, 98], Operations: []
Exploring Operation: 11+12=23, Resulting Numbers: [60, 98, 23]
Generated Node #2: [60, 98, 23] from Operation: 11+12=23
Current State: 15:[60, 98, 23], Operations: ['11+12=23']
Exploring Operation: 98-60=38, Resulting Numbers: [23, 38]
Generated Node #3: [23, 38] from Operation: 98-60=38
Current State: 15:[23, 38], Operations: ['11+12=23', '98-60=38']
Exploring Operation: 38-23=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[11, 12, 60, 98], Operations: []
Exploring Operation: 60/12=5, Resulting Numbers: [11, 98, 5]
Generated Node #0,0: 15:[11, 98, 5] Operation: 60/12=5
Exploring Operation: 98-11=87, Resulting Numbers: [12, 60, 87]
Generated Node #0,1: 15:[12, 60, 87] Operation: 98-11=87
Exploring Operation: 98-60=38, Resulting Numbers: [11, 12, 38]
Generated Node #0,2: 15:[11, 12, 38] Operation: 98-60=38
Exploring Operation: 60-11=49, Resulting Numbers: [12, 98, 49]
Generated Node #0,3: 15:[12, 98, 49] Operation: 60-11=49
Moving to Node #0,2
Current State: 15:[11, 12, 38], Operations: ['98-60=38']
Exploring Operation: 12-11=1, Resulting Numbers: [38, 1]
Generated Node #0,2,0: 15:[38, 1] Operation: 12-11=1
Exploring Operation: 38-11=27, Resulting Numbers: [12, 27]
Generated Node #0,2,1: 15:[12, 27] Operation: 38-11=27
Exploring Operation: 38-12=26, Resulting Numbers: [11, 26]
Generated Node #0,2,2: 15:[11, 26] Operation: 38-12=26
Exploring Operation: 11+12=23, Resulting Numbers: [38, 23]
Generated Node #0,2,3: 15:[38, 23] Operation: 11+12=23
Moving to Node #0,0
Current State: 15:[11, 98, 5], Operations: ['60/12=5']
Exploring Operation: 98-11=87, Resulting Numbers: [5, 87]
Generated Node #0,0,0: 15:[5, 87] Operation: 98-11=87
Exploring Operation: 11+5=16, Resulting Numbers: [98, 16]
Generated Node #0,0,1: 15:[98, 16] Operation: 11+5=16
Exploring Operation: 11-5=6, Resulting Numbers: [98, 6]
Generated Node #0,0,2: 15:[98, 6] Operation: 11-5=6
Exploring Operation: 98-5=93, Resulting Numbers: [11, 93]
Generated Node #0,0,3: 15:[11, 93] Operation: 98-5=93
Moving to Node #0,3
Current State: 15:[12, 98, 49], Operations: ['60-11=49']
Exploring Operation: 98-49=49, Resulting Numbers: [12, 49]
Generated Node #0,3,0: 15:[12, 49] Operation: 98-49=49
Exploring Operation: 98-12=86, Resulting Numbers: [49, 86]
Generated Node #0,3,1: 15:[49, 86] Operation: 98-12=86
Exploring Operation: 49-12=37, Resulting Numbers: [98, 37]
Generated Node #0,3,2: 15:[98, 37] Operation: 49-12=37
Exploring Operation: 98/49=2, Resulting Numbers: [12, 2]
Generated Node #0,3,3: 15:[12, 2] Operation: 98/49=2
Moving to Node #0,1
Current State: 15:[12, 60, 87], Operations: ['98-11=87']
Exploring Operation: 60-12=48, Resulting Numbers: [87, 48]
Generated Node #0,1,0: 15:[87, 48] Operation: 60-12=48
Exploring Operation: 60/12=5, Resulting Numbers: [87, 5]
Generated Node #0,1,1: 15:[87, 5] Operation: 60/12=5
Exploring Operation: 87-12=75, Resulting Numbers: [60, 75]
Generated Node #0,1,2: 15:[60, 75] Operation: 87-12=75
Exploring Operation: 87-60=27, Resulting Numbers: [12, 27]
Generated Node #0,1,3: 15:[12, 27] Operation: 87-60=27
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[12, 27], Operations: ['98-11=87', '87-60=27']
Exploring Operation: 12+27=39, Resulting Numbers: [39]
39,15 unequal: No Solution
Exploring Operation: 12*27=324, Resulting Numbers: [324]
324,15 unequal: No Solution
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[11, 12, 60, 98], Operations: []
Exploring Operation: 98-11=87, Resulting Numbers: [12, 60, 87]
Generated Node #0,1: 15:[12, 60, 87] Operation: 98-11=87
Moving to Node #0,1
Current State: 15:[12, 60, 87], Operations: ['98-11=87']
Exploring Operation: 87-60=27, Resulting Numbers: [12, 27]
Generated Node #0,1,3: 15:[12, 27] Operation: 87-60=27
Moving to Node #0,1,3
Current State: 15:[12, 27], Operations: ['98-11=87', '87-60=27']
Exploring Operation: 27-12=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | sum_heuristic |
[
17,
85,
82,
45
] | 65 | [
"17+85=102",
"82-45=37",
"102-37=65"
] | Current State: 65:[17, 85, 82, 45], Operations: []
Exploring Operation: 17+85=102, Resulting Numbers: [82, 45, 102]
Generated Node #2: [82, 45, 102] from Operation: 17+85=102
Current State: 65:[82, 45, 102], Operations: ['17+85=102']
Exploring Operation: 82-45=37, Resulting Numbers: [102, 37]
Generated Node #3: [102, 37] from Operation: 82-45=37
Current State: 65:[102, 37], Operations: ['17+85=102', '82-45=37']
Exploring Operation: 102-37=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[17, 85, 82, 45], Operations: []
Exploring Operation: 85-17=68, Resulting Numbers: [82, 45, 68]
Generated Node #0,0: 65:[82, 45, 68] Operation: 85-17=68
Exploring Operation: 85/17=5, Resulting Numbers: [82, 45, 5]
Generated Node #0,1: 65:[82, 45, 5] Operation: 85/17=5
Exploring Operation: 85-82=3, Resulting Numbers: [17, 45, 3]
Generated Node #0,2: 65:[17, 45, 3] Operation: 85-82=3
Start Sub Search at level 1: Moving to Node #0,2
Current State: 65:[17, 45, 3], Operations: ['85-82=3']
Exploring Operation: 45-17=28, Resulting Numbers: [3, 28]
Generated Node #0,2,0: 65:[3, 28] Operation: 45-17=28
Exploring Operation: 45/3=15, Resulting Numbers: [17, 15]
Generated Node #0,2,1: 65:[17, 15] Operation: 45/3=15
Exploring Operation: 17+45=62, Resulting Numbers: [3, 62]
Generated Node #0,2,2: 65:[3, 62] Operation: 17+45=62
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 65:[3, 62], Operations: ['85-82=3', '17+45=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,65 unequal: No Solution
Exploring Operation: 3*62=186, Resulting Numbers: [186]
186,65 unequal: No Solution
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[17, 85, 82, 45], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [17, 45, 3]
Generated Node #0,2: 65:[17, 45, 3] Operation: 85-82=3
Moving to Node #0,2
Current State: 65:[17, 45, 3], Operations: ['85-82=3']
Exploring Operation: 17+45=62, Resulting Numbers: [3, 62]
Generated Node #0,2,2: 65:[3, 62] Operation: 17+45=62
Moving to Node #0,2,2
Current State: 65:[3, 62], Operations: ['85-82=3', '17+45=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
38,
25,
86,
63
] | 76 | [
"86-25=61",
"63-61=2",
"38*2=76"
] | Current State: 76:[38, 25, 86, 63], Operations: []
Exploring Operation: 86-25=61, Resulting Numbers: [38, 63, 61]
Generated Node #2: [38, 63, 61] from Operation: 86-25=61
Current State: 76:[38, 63, 61], Operations: ['86-25=61']
Exploring Operation: 63-61=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 63-61=2
Current State: 76:[38, 2], Operations: ['86-25=61', '63-61=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[38, 25, 86, 63], Operations: []
Exploring Operation: 25+63=88, Resulting Numbers: [38, 86, 88]
Generated Node #0,0: 76:[38, 86, 88] Operation: 25+63=88
Exploring Operation: 63-38=25, Resulting Numbers: [25, 86, 25]
Generated Node #0,1: 76:[25, 86, 25] Operation: 63-38=25
Exploring Operation: 86-63=23, Resulting Numbers: [38, 25, 23]
Generated Node #0,2: 76:[38, 25, 23] Operation: 86-63=23
Exploring Operation: 86-25=61, Resulting Numbers: [38, 63, 61]
Generated Node #0,3: 76:[38, 63, 61] Operation: 86-25=61
Exploring Operation: 63-25=38, Resulting Numbers: [38, 86, 38]
Generated Node #0,4: 76:[38, 86, 38] Operation: 63-25=38
Moving to Node #0,2
Current State: 76:[38, 25, 23], Operations: ['86-63=23']
Exploring Operation: 38+25=63, Resulting Numbers: [23, 63]
Generated Node #0,2,0: 76:[23, 63] Operation: 38+25=63
Exploring Operation: 25-23=2, Resulting Numbers: [38, 2]
Generated Node #0,2,1: 76:[38, 2] Operation: 25-23=2
Exploring Operation: 38-23=15, Resulting Numbers: [25, 15]
Generated Node #0,2,2: 76:[25, 15] Operation: 38-23=15
Exploring Operation: 38-25=13, Resulting Numbers: [23, 13]
Generated Node #0,2,3: 76:[23, 13] Operation: 38-25=13
Exploring Operation: 25+23=48, Resulting Numbers: [38, 48]
Generated Node #0,2,4: 76:[38, 48] Operation: 25+23=48
Moving to Node #0,4
Current State: 76:[38, 86, 38], Operations: ['63-25=38']
Exploring Operation: 86-38=48, Resulting Numbers: [38, 48]
Generated Node #0,4,0: 76:[38, 48] Operation: 86-38=48
Exploring Operation: 38-38=0, Resulting Numbers: [86, 0]
Generated Node #0,4,1: 76:[86, 0] Operation: 38-38=0
Exploring Operation: 38+38=76, Resulting Numbers: [86, 76]
Generated Node #0,4,2: 76:[86, 76] Operation: 38+38=76
Exploring Operation: 38/38=1, Resulting Numbers: [86, 1]
Generated Node #0,4,3: 76:[86, 1] Operation: 38/38=1
Exploring Operation: 86-38=48, Resulting Numbers: [38, 48]
Generated Node #0,4,4: 76:[38, 48] Operation: 86-38=48
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 76:[38, 48], Operations: ['63-25=38', '86-38=48']
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,76 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 76:[86, 76], Operations: ['63-25=38', '38+38=76']
Exploring Operation: 86*76=6536, Resulting Numbers: [6536]
6536,76 unequal: No Solution
Exploring Operation: 86+76=162, Resulting Numbers: [162]
162,76 unequal: No Solution
Exploring Operation: 86-76=10, Resulting Numbers: [10]
10,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 76:[38, 48], Operations: ['63-25=38', '86-38=48']
Exploring Operation: 38*48=1824, Resulting Numbers: [1824]
1824,76 unequal: No Solution
Exploring Operation: 38+48=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 48-38=10, Resulting Numbers: [10]
10,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 76:[86, 1], Operations: ['63-25=38', '38/38=1']
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,76 unequal: No Solution
Exploring Operation: 86*1=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 86+1=87, Resulting Numbers: [87]
87,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 76:[86, 0], Operations: ['63-25=38', '38-38=0']
Exploring Operation: 86+0=86, Resulting Numbers: [86]
86,76 unequal: No Solution
Exploring Operation: 86*0=0, Resulting Numbers: [0]
0,76 unequal: No Solution
Exploring Operation: 86-0=86, Resulting Numbers: [86]
86,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 76:[38, 86, 88], Operations: ['25+63=88']
Exploring Operation: 88-86=2, Resulting Numbers: [38, 2]
Generated Node #0,0,0: 76:[38, 2] Operation: 88-86=2
Exploring Operation: 86-38=48, Resulting Numbers: [88, 48]
Generated Node #0,0,1: 76:[88, 48] Operation: 86-38=48
Exploring Operation: 88-38=50, Resulting Numbers: [86, 50]
Generated Node #0,0,2: 76:[86, 50] Operation: 88-38=50
Exploring Operation: 38+86=124, Resulting Numbers: [88, 124]
Generated Node #0,0,3: 76:[88, 124] Operation: 38+86=124
Exploring Operation: 38+88=126, Resulting Numbers: [86, 126]
Generated Node #0,0,4: 76:[86, 126] Operation: 38+88=126
Moving to Node #0,1
Current State: 76:[25, 86, 25], Operations: ['63-38=25']
Exploring Operation: 25/25=1, Resulting Numbers: [86, 1]
Generated Node #0,1,0: 76:[86, 1] Operation: 25/25=1
Exploring Operation: 25+25=50, Resulting Numbers: [86, 50]
Generated Node #0,1,1: 76:[86, 50] Operation: 25+25=50
Exploring Operation: 86-25=61, Resulting Numbers: [25, 61]
Generated Node #0,1,2: 76:[25, 61] Operation: 86-25=61
Exploring Operation: 25-25=0, Resulting Numbers: [86, 0]
Generated Node #0,1,3: 76:[86, 0] Operation: 25-25=0
Exploring Operation: 86-25=61, Resulting Numbers: [25, 61]
Generated Node #0,1,4: 76:[25, 61] Operation: 86-25=61
Moving to Node #0,3
Current State: 76:[38, 63, 61], Operations: ['86-25=61']
Exploring Operation: 61-38=23, Resulting Numbers: [63, 23]
Generated Node #0,3,0: 76:[63, 23] Operation: 61-38=23
Exploring Operation: 38+63=101, Resulting Numbers: [61, 101]
Generated Node #0,3,1: 76:[61, 101] Operation: 38+63=101
Exploring Operation: 63-61=2, Resulting Numbers: [38, 2]
Generated Node #0,3,2: 76:[38, 2] Operation: 63-61=2
Exploring Operation: 63-38=25, Resulting Numbers: [61, 25]
Generated Node #0,3,3: 76:[61, 25] Operation: 63-38=25
Exploring Operation: 38+61=99, Resulting Numbers: [63, 99]
Generated Node #0,3,4: 76:[63, 99] Operation: 38+61=99
Moving to Node #0,2,1
Current State: 76:[38, 2], Operations: ['86-63=23', '25-23=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[38, 25, 86, 63], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [38, 25, 23]
Generated Node #0,2: 76:[38, 25, 23] Operation: 86-63=23
Moving to Node #0,2
Current State: 76:[38, 25, 23], Operations: ['86-63=23']
Exploring Operation: 25-23=2, Resulting Numbers: [38, 2]
Generated Node #0,2,1: 76:[38, 2] Operation: 25-23=2
Moving to Node #0,2,1
Current State: 76:[38, 2], Operations: ['86-63=23', '25-23=2']
Exploring Operation: 38*2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 0.953125 | hs_5 | sum_heuristic |
[
18,
79,
51,
91
] | 34 | [
"91-79=12",
"51*12=612",
"612/18=34"
] | Current State: 34:[18, 79, 51, 91], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [18, 51, 12]
Generated Node #2: [18, 51, 12] from Operation: 91-79=12
Current State: 34:[18, 51, 12], Operations: ['91-79=12']
Exploring Operation: 51*12=612, Resulting Numbers: [18, 612]
Generated Node #3: [18, 612] from Operation: 51*12=612
Current State: 34:[18, 612], Operations: ['91-79=12', '51*12=612']
Exploring Operation: 612/18=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[18, 79, 51, 91], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [18, 51, 12]
Generated Node #0,0: 34:[18, 51, 12] Operation: 91-79=12
Start Sub Search at level 1: Moving to Node #0,0
Current State: 34:[18, 51, 12], Operations: ['91-79=12']
Exploring Operation: 51-18=33, Resulting Numbers: [12, 33]
Generated Node #0,0,0: 34:[12, 33] Operation: 51-18=33
Moving to Node #0,0,0
Current State: 34:[12, 33], Operations: ['91-79=12', '51-18=33']
Exploring Operation: 33-12=21, Resulting Numbers: [21]
21,34 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 |
[
66,
10,
44,
78
] | 90 | [
"66-10=56",
"78-44=34",
"56+34=90"
] | Current State: 90:[66, 10, 44, 78], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [44, 78, 56]
Generated Node #2: [44, 78, 56] from Operation: 66-10=56
Current State: 90:[44, 78, 56], Operations: ['66-10=56']
Exploring Operation: 78-44=34, Resulting Numbers: [56, 34]
Generated Node #3: [56, 34] from Operation: 78-44=34
Current State: 90:[56, 34], Operations: ['66-10=56', '78-44=34']
Exploring Operation: 56+34=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[66, 10, 44, 78], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [44, 78, 56]
Generated Node #0,0: 90:[44, 78, 56] Operation: 66-10=56
Exploring Operation: 78-66=12, Resulting Numbers: [10, 44, 12]
Generated Node #0,1: 90:[10, 44, 12] Operation: 78-66=12
Exploring Operation: 66-44=22, Resulting Numbers: [10, 78, 22]
Generated Node #0,2: 90:[10, 78, 22] Operation: 66-44=22
Exploring Operation: 10+78=88, Resulting Numbers: [66, 44, 88]
Generated Node #0,3: 90:[66, 44, 88] Operation: 10+78=88
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[10, 44, 12], Operations: ['78-66=12']
Exploring Operation: 12-10=2, Resulting Numbers: [44, 2]
Generated Node #0,1,0: 90:[44, 2] Operation: 12-10=2
Exploring Operation: 10+12=22, Resulting Numbers: [44, 22]
Generated Node #0,1,1: 90:[44, 22] Operation: 10+12=22
Exploring Operation: 44-12=32, Resulting Numbers: [10, 32]
Generated Node #0,1,2: 90:[10, 32] Operation: 44-12=32
Exploring Operation: 44-10=34, Resulting Numbers: [12, 34]
Generated Node #0,1,3: 90:[12, 34] Operation: 44-10=34
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 90:[44, 2], Operations: ['78-66=12', '12-10=2']
Exploring Operation: 44+2=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 44/2=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 90:[10, 32], Operations: ['78-66=12', '44-12=32']
Exploring Operation: 10+32=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 32-10=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 10*32=320, Resulting Numbers: [320]
320,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 90:[44, 22], Operations: ['78-66=12', '10+12=22']
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,90 unequal: No Solution
Exploring Operation: 44+22=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 44*22=968, Resulting Numbers: [968]
968,90 unequal: No Solution
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 90:[12, 34], Operations: ['78-66=12', '44-10=34']
Exploring Operation: 12*34=408, Resulting Numbers: [408]
408,90 unequal: No Solution
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 12+34=46, Resulting Numbers: [46]
46,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[10, 78, 22], Operations: ['66-44=22']
Exploring Operation: 10+22=32, Resulting Numbers: [78, 32]
Generated Node #0,2,0: 90:[78, 32] Operation: 10+22=32
Exploring Operation: 78+22=100, Resulting Numbers: [10, 100]
Generated Node #0,2,1: 90:[10, 100] Operation: 78+22=100
Exploring Operation: 10+78=88, Resulting Numbers: [22, 88]
Generated Node #0,2,2: 90:[22, 88] Operation: 10+78=88
Exploring Operation: 78-22=56, Resulting Numbers: [10, 56]
Generated Node #0,2,3: 90:[10, 56] Operation: 78-22=56
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[22, 88], Operations: ['66-44=22', '10+78=88']
Exploring Operation: 22*88=1936, Resulting Numbers: [1936]
1936,90 unequal: No Solution
Exploring Operation: 88/22=4, Resulting Numbers: [4]
4,90 unequal: No Solution
Exploring Operation: 88-22=66, Resulting Numbers: [66]
66,90 unequal: No Solution
Exploring Operation: 22+88=110, Resulting Numbers: [110]
110,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[10, 100], Operations: ['66-44=22', '78+22=100']
Exploring Operation: 100-10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[66, 10, 44, 78], Operations: []
Exploring Operation: 66-44=22, Resulting Numbers: [10, 78, 22]
Generated Node #0,2: 90:[10, 78, 22] Operation: 66-44=22
Moving to Node #0,2
Current State: 90:[10, 78, 22], Operations: ['66-44=22']
Exploring Operation: 78+22=100, Resulting Numbers: [10, 100]
Generated Node #0,2,1: 90:[10, 100] Operation: 78+22=100
Moving to Node #0,2,1
Current State: 90:[10, 100], Operations: ['66-44=22', '78+22=100']
Exploring Operation: 100-10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.969618 | hs_4 | sum_heuristic |
[
52,
10,
9,
53
] | 19 | [
"53-52=1",
"10+9=19",
"1*19=19"
] | Current State: 19:[52, 10, 9, 53], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [10, 9, 1]
Generated Node #2: [10, 9, 1] from Operation: 53-52=1
Current State: 19:[10, 9, 1], Operations: ['53-52=1']
Exploring Operation: 10+9=19, Resulting Numbers: [1, 19]
Generated Node #3: [1, 19] from Operation: 10+9=19
Current State: 19:[1, 19], Operations: ['53-52=1', '10+9=19']
Exploring Operation: 1*19=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[52, 10, 9, 53], Operations: []
Exploring Operation: 10+9=19, Resulting Numbers: [52, 53, 19]
Generated Node #0,0: 19:[52, 53, 19] Operation: 10+9=19
Exploring Operation: 52-10=42, Resulting Numbers: [9, 53, 42]
Generated Node #0,1: 19:[9, 53, 42] Operation: 52-10=42
Exploring Operation: 52-9=43, Resulting Numbers: [10, 53, 43]
Generated Node #0,2: 19:[10, 53, 43] Operation: 52-9=43
Exploring Operation: 53-10=43, Resulting Numbers: [52, 9, 43]
Generated Node #0,3: 19:[52, 9, 43] Operation: 53-10=43
Exploring Operation: 53-52=1, Resulting Numbers: [10, 9, 1]
Generated Node #0,4: 19:[10, 9, 1] Operation: 53-52=1
Moving to Node #0,4
Current State: 19:[10, 9, 1], Operations: ['53-52=1']
Exploring Operation: 10/1=10, Resulting Numbers: [9, 10]
Generated Node #0,4,0: 19:[9, 10] Operation: 10/1=10
Exploring Operation: 10+1=11, Resulting Numbers: [9, 11]
Generated Node #0,4,1: 19:[9, 11] Operation: 10+1=11
Exploring Operation: 10+9=19, Resulting Numbers: [1, 19]
Generated Node #0,4,2: 19:[1, 19] Operation: 10+9=19
Exploring Operation: 9+1=10, Resulting Numbers: [10, 10]
Generated Node #0,4,3: 19:[10, 10] Operation: 9+1=10
Exploring Operation: 10*1=10, Resulting Numbers: [9, 10]
Generated Node #0,4,4: 19:[9, 10] Operation: 10*1=10
Moving to Node #0,1
Current State: 19:[9, 53, 42], Operations: ['52-10=42']
Exploring Operation: 53-42=11, Resulting Numbers: [9, 11]
Generated Node #0,1,0: 19:[9, 11] Operation: 53-42=11
Exploring Operation: 9+42=51, Resulting Numbers: [53, 51]
Generated Node #0,1,1: 19:[53, 51] Operation: 9+42=51
Exploring Operation: 53-9=44, Resulting Numbers: [42, 44]
Generated Node #0,1,2: 19:[42, 44] Operation: 53-9=44
Exploring Operation: 42-9=33, Resulting Numbers: [53, 33]
Generated Node #0,1,3: 19:[53, 33] Operation: 42-9=33
Exploring Operation: 9+53=62, Resulting Numbers: [42, 62]
Generated Node #0,1,4: 19:[42, 62] Operation: 9+53=62
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 19:[9, 11], Operations: ['52-10=42', '53-42=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,19 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 19:[42, 44], Operations: ['52-10=42', '53-9=44']
Exploring Operation: 42*44=1848, Resulting Numbers: [1848]
1848,19 unequal: No Solution
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 42+44=86, Resulting Numbers: [86]
86,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 19:[53, 33], Operations: ['52-10=42', '42-9=33']
Exploring Operation: 53*33=1749, Resulting Numbers: [1749]
1749,19 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 19:[53, 51], Operations: ['52-10=42', '9+42=51']
Exploring Operation: 53-51=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 53+51=104, Resulting Numbers: [104]
104,19 unequal: No Solution
Exploring Operation: 53*51=2703, Resulting Numbers: [2703]
2703,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 19:[42, 62], Operations: ['52-10=42', '9+53=62']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 42*62=2604, Resulting Numbers: [2604]
2604,19 unequal: No Solution
Exploring Operation: 42+62=104, Resulting Numbers: [104]
104,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 19:[52, 9, 43], Operations: ['53-10=43']
Exploring Operation: 52-9=43, Resulting Numbers: [43, 43]
Generated Node #0,3,0: 19:[43, 43] Operation: 52-9=43
Exploring Operation: 52-43=9, Resulting Numbers: [9, 9]
Generated Node #0,3,1: 19:[9, 9] Operation: 52-43=9
Exploring Operation: 43-9=34, Resulting Numbers: [52, 34]
Generated Node #0,3,2: 19:[52, 34] Operation: 43-9=34
Exploring Operation: 52+9=61, Resulting Numbers: [43, 61]
Generated Node #0,3,3: 19:[43, 61] Operation: 52+9=61
Exploring Operation: 9+43=52, Resulting Numbers: [52, 52]
Generated Node #0,3,4: 19:[52, 52] Operation: 9+43=52
Moving to Node #0,0
Current State: 19:[52, 53, 19], Operations: ['10+9=19']
Exploring Operation: 52-19=33, Resulting Numbers: [53, 33]
Generated Node #0,0,0: 19:[53, 33] Operation: 52-19=33
Exploring Operation: 52+53=105, Resulting Numbers: [19, 105]
Generated Node #0,0,1: 19:[19, 105] Operation: 52+53=105
Exploring Operation: 52+19=71, Resulting Numbers: [53, 71]
Generated Node #0,0,2: 19:[53, 71] Operation: 52+19=71
Exploring Operation: 53-19=34, Resulting Numbers: [52, 34]
Generated Node #0,0,3: 19:[52, 34] Operation: 53-19=34
Exploring Operation: 53-52=1, Resulting Numbers: [19, 1]
Generated Node #0,0,4: 19:[19, 1] Operation: 53-52=1
Moving to Node #0,2
Current State: 19:[10, 53, 43], Operations: ['52-9=43']
Exploring Operation: 53-10=43, Resulting Numbers: [43, 43]
Generated Node #0,2,0: 19:[43, 43] Operation: 53-10=43
Exploring Operation: 53-43=10, Resulting Numbers: [10, 10]
Generated Node #0,2,1: 19:[10, 10] Operation: 53-43=10
Exploring Operation: 10+53=63, Resulting Numbers: [43, 63]
Generated Node #0,2,2: 19:[43, 63] Operation: 10+53=63
Exploring Operation: 43-10=33, Resulting Numbers: [53, 33]
Generated Node #0,2,3: 19:[53, 33] Operation: 43-10=33
Exploring Operation: 10+43=53, Resulting Numbers: [53, 53]
Generated Node #0,2,4: 19:[53, 53] Operation: 10+43=53
Moving to Node #0,4,1
Current State: 19:[9, 11], Operations: ['53-52=1', '10+1=11']
Exploring Operation: 9+11=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,19 unequal: No Solution
Exploring Operation: 11-9=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,4,3
Current State: 19:[10, 10], Operations: ['53-52=1', '9+1=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,19 unequal: No Solution
Moving to Node #0,4,2
Current State: 19:[1, 19], Operations: ['53-52=1', '10+9=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[52, 10, 9, 53], Operations: []
Exploring Operation: 53-52=1, Resulting Numbers: [10, 9, 1]
Generated Node #0,4: 19:[10, 9, 1] Operation: 53-52=1
Moving to Node #0,4
Current State: 19:[10, 9, 1], Operations: ['53-52=1']
Exploring Operation: 10+9=19, Resulting Numbers: [1, 19]
Generated Node #0,4,2: 19:[1, 19] Operation: 10+9=19
Moving to Node #0,4,2
Current State: 19:[1, 19], Operations: ['53-52=1', '10+9=19']
Exploring Operation: 19/1=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 0.950521 | hs_5 | sum_heuristic |
[
74,
23,
71,
31
] | 100 | [
"74-71=3",
"23*3=69",
"31+69=100"
] | Current State: 100:[74, 23, 71, 31], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [23, 31, 3]
Generated Node #2: [23, 31, 3] from Operation: 74-71=3
Current State: 100:[23, 31, 3], Operations: ['74-71=3']
Exploring Operation: 23*3=69, Resulting Numbers: [31, 69]
Generated Node #3: [31, 69] from Operation: 23*3=69
Current State: 100:[31, 69], Operations: ['74-71=3', '23*3=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[74, 23, 71, 31], Operations: []
Exploring Operation: 74-23=51, Resulting Numbers: [71, 31, 51]
Generated Node #0,0: 100:[71, 31, 51] Operation: 74-23=51
Exploring Operation: 74-71=3, Resulting Numbers: [23, 31, 3]
Generated Node #0,1: 100:[23, 31, 3] Operation: 74-71=3
Exploring Operation: 71+31=102, Resulting Numbers: [74, 23, 102]
Generated Node #0,2: 100:[74, 23, 102] Operation: 71+31=102
Exploring Operation: 74+31=105, Resulting Numbers: [23, 71, 105]
Generated Node #0,3: 100:[23, 71, 105] Operation: 74+31=105
Moving to Node #0,1
Current State: 100:[23, 31, 3], Operations: ['74-71=3']
Exploring Operation: 31-23=8, Resulting Numbers: [3, 8]
Generated Node #0,1,0: 100:[3, 8] Operation: 31-23=8
Exploring Operation: 23+31=54, Resulting Numbers: [3, 54]
Generated Node #0,1,1: 100:[3, 54] Operation: 23+31=54
Exploring Operation: 23-3=20, Resulting Numbers: [31, 20]
Generated Node #0,1,2: 100:[31, 20] Operation: 23-3=20
Exploring Operation: 31-3=28, Resulting Numbers: [23, 28]
Generated Node #0,1,3: 100:[23, 28] Operation: 31-3=28
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 100:[3, 8], Operations: ['74-71=3', '31-23=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,100 unequal: No Solution
No 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: 100:[3, 54], Operations: ['74-71=3', '23+31=54']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 3+54=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 3*54=162, Resulting Numbers: [162]
162,100 unequal: No Solution
No 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: 100:[23, 28], Operations: ['74-71=3', '31-3=28']
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,100 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,100 unequal: No Solution
No 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: 100:[31, 20], Operations: ['74-71=3', '23-3=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,100 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: 100:[74, 23, 102], Operations: ['71+31=102']
Exploring Operation: 102-23=79, Resulting Numbers: [74, 79]
Generated Node #0,2,0: 100:[74, 79] Operation: 102-23=79
Exploring Operation: 74-23=51, Resulting Numbers: [102, 51]
Generated Node #0,2,1: 100:[102, 51] Operation: 74-23=51
Exploring Operation: 102-74=28, Resulting Numbers: [23, 28]
Generated Node #0,2,2: 100:[23, 28] Operation: 102-74=28
Exploring Operation: 74+23=97, Resulting Numbers: [102, 97]
Generated Node #0,2,3: 100:[102, 97] Operation: 74+23=97
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 100:[102, 51], Operations: ['71+31=102', '74-23=51']
Exploring Operation: 102-51=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 102*51=5202, Resulting Numbers: [5202]
5202,100 unequal: No Solution
Exploring Operation: 102/51=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 102+51=153, Resulting Numbers: [153]
153,100 unequal: No Solution
No 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: 100:[23, 28], Operations: ['71+31=102', '102-74=28']
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 23*28=644, Resulting Numbers: [644]
644,100 unequal: No Solution
Exploring Operation: 23+28=51, Resulting Numbers: [51]
51,100 unequal: No Solution
No 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: 100:[102, 97], Operations: ['71+31=102', '74+23=97']
Exploring Operation: 102+97=199, Resulting Numbers: [199]
199,100 unequal: No Solution
Exploring Operation: 102-97=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 102*97=9894, Resulting Numbers: [9894]
9894,100 unequal: No Solution
No 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: 100:[74, 79], Operations: ['71+31=102', '102-23=79']
Exploring Operation: 74+79=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 79-74=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 74*79=5846, Resulting Numbers: [5846]
5846,100 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: 100:[71, 31, 51], Operations: ['74-23=51']
Exploring Operation: 71+31=102, Resulting Numbers: [51, 102]
Generated Node #0,0,0: 100:[51, 102] Operation: 71+31=102
Exploring Operation: 51-31=20, Resulting Numbers: [71, 20]
Generated Node #0,0,1: 100:[71, 20] Operation: 51-31=20
Exploring Operation: 71-31=40, Resulting Numbers: [51, 40]
Generated Node #0,0,2: 100:[51, 40] Operation: 71-31=40
Exploring Operation: 71-51=20, Resulting Numbers: [31, 20]
Generated Node #0,0,3: 100:[31, 20] Operation: 71-51=20
Moving to Node #0,3
Current State: 100:[23, 71, 105], Operations: ['74+31=105']
Exploring Operation: 23+71=94, Resulting Numbers: [105, 94]
Generated Node #0,3,0: 100:[105, 94] Operation: 23+71=94
Exploring Operation: 105-23=82, Resulting Numbers: [71, 82]
Generated Node #0,3,1: 100:[71, 82] Operation: 105-23=82
Exploring Operation: 105-71=34, Resulting Numbers: [23, 34]
Generated Node #0,3,2: 100:[23, 34] Operation: 105-71=34
Exploring Operation: 71-23=48, Resulting Numbers: [105, 48]
Generated Node #0,3,3: 100:[105, 48] Operation: 71-23=48
Moving to Node #0,0,0
Current State: 100:[51, 102], Operations: ['74-23=51', '71+31=102']
Exploring Operation: 102/51=2, Resulting Numbers: [2]
2,100 unequal: No Solution
Exploring Operation: 51+102=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 51*102=5202, Resulting Numbers: [5202]
5202,100 unequal: No Solution
Exploring Operation: 102-51=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[31, 20], Operations: ['74-23=51', '71-51=20']
Exploring Operation: 31+20=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 31*20=620, Resulting Numbers: [620]
620,100 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[105, 48], Operations: ['74+31=105', '71-23=48']
Exploring Operation: 105+48=153, Resulting Numbers: [153]
153,100 unequal: No Solution
Exploring Operation: 105-48=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 105*48=5040, Resulting Numbers: [5040]
5040,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[51, 40], Operations: ['74-23=51', '71-31=40']
Exploring Operation: 51+40=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Exploring Operation: 51*40=2040, Resulting Numbers: [2040]
2040,100 unequal: No Solution
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[105, 94], Operations: ['74+31=105', '23+71=94']
Exploring Operation: 105+94=199, Resulting Numbers: [199]
199,100 unequal: No Solution
Exploring Operation: 105-94=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 105*94=9870, Resulting Numbers: [9870]
9870,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[23, 34], Operations: ['74+31=105', '105-71=34']
Exploring Operation: 23*34=782, Resulting Numbers: [782]
782,100 unequal: No Solution
Exploring Operation: 23+34=57, Resulting Numbers: [57]
57,100 unequal: No Solution
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[71, 20], Operations: ['74-23=51', '51-31=20']
Exploring Operation: 71*20=1420, Resulting Numbers: [1420]
1420,100 unequal: No Solution
Exploring Operation: 71-20=51, Resulting Numbers: [51]
51,100 unequal: No Solution
Exploring Operation: 71+20=91, Resulting Numbers: [91]
91,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[71, 82], Operations: ['74+31=105', '105-23=82']
Exploring Operation: 82-71=11, Resulting Numbers: [11]
11,100 unequal: No Solution
Exploring Operation: 71*82=5822, Resulting Numbers: [5822]
5822,100 unequal: No Solution
Exploring Operation: 71+82=153, Resulting Numbers: [153]
153,100 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
13,
69,
30,
59
] | 90 | [
"69-13=56",
"59-56=3",
"30*3=90"
] | Current State: 90:[13, 69, 30, 59], Operations: []
Exploring Operation: 69-13=56, Resulting Numbers: [30, 59, 56]
Generated Node #2: [30, 59, 56] from Operation: 69-13=56
Current State: 90:[30, 59, 56], Operations: ['69-13=56']
Exploring Operation: 59-56=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 59-56=3
Current State: 90:[30, 3], Operations: ['69-13=56', '59-56=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 | Current State: 90:[13, 69, 30, 59], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [13, 30, 10]
Generated Node #0,0: 90:[13, 30, 10] Operation: 69-59=10
Exploring Operation: 69-30=39, Resulting Numbers: [13, 59, 39]
Generated Node #0,1: 90:[13, 59, 39] Operation: 69-30=39
Exploring Operation: 30+59=89, Resulting Numbers: [13, 69, 89]
Generated Node #0,2: 90:[13, 69, 89] Operation: 30+59=89
Exploring Operation: 59-13=46, Resulting Numbers: [69, 30, 46]
Generated Node #0,3: 90:[69, 30, 46] Operation: 59-13=46
Exploring Operation: 13+69=82, Resulting Numbers: [30, 59, 82]
Generated Node #0,4: 90:[30, 59, 82] Operation: 13+69=82
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[13, 30, 10], Operations: ['69-59=10']
Exploring Operation: 13-10=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 90:[30, 3] Operation: 13-10=3
Exploring Operation: 30-13=17, Resulting Numbers: [10, 17]
Generated Node #0,0,1: 90:[10, 17] Operation: 30-13=17
Exploring Operation: 30-10=20, Resulting Numbers: [13, 20]
Generated Node #0,0,2: 90:[13, 20] Operation: 30-10=20
Exploring Operation: 30/10=3, Resulting Numbers: [13, 3]
Generated Node #0,0,3: 90:[13, 3] Operation: 30/10=3
Exploring Operation: 13+30=43, Resulting Numbers: [10, 43]
Generated Node #0,0,4: 90:[10, 43] Operation: 13+30=43
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[30, 3], Operations: ['69-59=10', '13-10=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Moving to Node #0
Current State: 90:[13, 69, 30, 59], Operations: []
Exploring Operation: 69-59=10, Resulting Numbers: [13, 30, 10]
Generated Node #0,0: 90:[13, 30, 10] Operation: 69-59=10
Moving to Node #0,0
Current State: 90:[13, 30, 10], Operations: ['69-59=10']
Exploring Operation: 13-10=3, Resulting Numbers: [30, 3]
Generated Node #0,0,0: 90:[30, 3] Operation: 13-10=3
Moving to Node #0,0,0
Current State: 90:[30, 3], Operations: ['69-59=10', '13-10=3']
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_5 | mult_heuristic |
[
90,
76,
74,
33
] | 27 | [
"90-76=14",
"74-33=41",
"41-14=27"
] | Current State: 27:[90, 76, 74, 33], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [74, 33, 14]
Generated Node #2: [74, 33, 14] from Operation: 90-76=14
Current State: 27:[74, 33, 14], Operations: ['90-76=14']
Exploring Operation: 74-33=41, Resulting Numbers: [14, 41]
Generated Node #3: [14, 41] from Operation: 74-33=41
Current State: 27:[14, 41], Operations: ['90-76=14', '74-33=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[90, 76, 74, 33], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [74, 33, 14]
Generated Node #0,0: 27:[74, 33, 14] Operation: 90-76=14
Exploring Operation: 90-74=16, Resulting Numbers: [76, 33, 16]
Generated Node #0,1: 27:[76, 33, 16] Operation: 90-74=16
Moving to Node #0,0
Current State: 27:[74, 33, 14], Operations: ['90-76=14']
Exploring Operation: 74-33=41, Resulting Numbers: [14, 41]
Generated Node #0,0,0: 27:[14, 41] Operation: 74-33=41
Exploring Operation: 74-14=60, Resulting Numbers: [33, 60]
Generated Node #0,0,1: 27:[33, 60] Operation: 74-14=60
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[14, 41], Operations: ['90-76=14', '74-33=41']
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,27 unequal: No Solution
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[90, 76, 74, 33], Operations: []
Exploring Operation: 90-76=14, Resulting Numbers: [74, 33, 14]
Generated Node #0,0: 27:[74, 33, 14] Operation: 90-76=14
Moving to Node #0,0
Current State: 27:[74, 33, 14], Operations: ['90-76=14']
Exploring Operation: 74-33=41, Resulting Numbers: [14, 41]
Generated Node #0,0,0: 27:[14, 41] Operation: 74-33=41
Moving to Node #0,0,0
Current State: 27:[14, 41], Operations: ['90-76=14', '74-33=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
93,
52,
82,
22
] | 26 | [
"93-82=11",
"52*11=572",
"572/22=26"
] | Current State: 26:[93, 52, 82, 22], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [52, 22, 11]
Generated Node #2: [52, 22, 11] from Operation: 93-82=11
Current State: 26:[52, 22, 11], Operations: ['93-82=11']
Exploring Operation: 52*11=572, Resulting Numbers: [22, 572]
Generated Node #3: [22, 572] from Operation: 52*11=572
Current State: 26:[22, 572], Operations: ['93-82=11', '52*11=572']
Exploring Operation: 572/22=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[93, 52, 82, 22], Operations: []
Exploring Operation: 93-82=11, Resulting Numbers: [52, 22, 11]
Generated Node #0,0: 26:[52, 22, 11] Operation: 93-82=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[52, 22, 11], Operations: ['93-82=11']
Exploring Operation: 52-22=30, Resulting Numbers: [11, 30]
Generated Node #0,0,0: 26:[11, 30] Operation: 52-22=30
Moving to Node #0,0,0
Current State: 26:[11, 30], Operations: ['93-82=11', '52-22=30']
Exploring Operation: 30-11=19, Resulting Numbers: [19]
19,26 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 |
[
99,
17,
31,
85
] | 56 | [
"85/17=5",
"31*5=155",
"155-99=56"
] | Current State: 56:[99, 17, 31, 85], Operations: []
Exploring Operation: 85/17=5, Resulting Numbers: [99, 31, 5]
Generated Node #2: [99, 31, 5] from Operation: 85/17=5
Current State: 56:[99, 31, 5], Operations: ['85/17=5']
Exploring Operation: 31*5=155, Resulting Numbers: [99, 155]
Generated Node #3: [99, 155] from Operation: 31*5=155
Current State: 56:[99, 155], Operations: ['85/17=5', '31*5=155']
Exploring Operation: 155-99=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[99, 17, 31, 85], Operations: []
Exploring Operation: 99-85=14, Resulting Numbers: [17, 31, 14]
Generated Node #0,0: 56:[17, 31, 14] Operation: 99-85=14
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[17, 31, 14], Operations: ['99-85=14']
Exploring Operation: 31-17=14, Resulting Numbers: [14, 14]
Generated Node #0,0,0: 56:[14, 14] Operation: 31-17=14
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 56:[14, 14], Operations: ['99-85=14', '31-17=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,56 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_1 | mult_heuristic |
[
42,
21,
23,
26
] | 98 | [
"42/21=2",
"23+26=49",
"2*49=98"
] | Current State: 98:[42, 21, 23, 26], Operations: []
Exploring Operation: 42/21=2, Resulting Numbers: [23, 26, 2]
Generated Node #2: [23, 26, 2] from Operation: 42/21=2
Current State: 98:[23, 26, 2], Operations: ['42/21=2']
Exploring Operation: 23+26=49, Resulting Numbers: [2, 49]
Generated Node #3: [2, 49] from Operation: 23+26=49
Current State: 98:[2, 49], Operations: ['42/21=2', '23+26=49']
Exploring Operation: 2*49=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[42, 21, 23, 26], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [21, 23, 16]
Generated Node #0,0: 98:[21, 23, 16] Operation: 42-26=16
Exploring Operation: 26-23=3, Resulting Numbers: [42, 21, 3]
Generated Node #0,1: 98:[42, 21, 3] Operation: 26-23=3
Exploring Operation: 23+26=49, Resulting Numbers: [42, 21, 49]
Generated Node #0,2: 98:[42, 21, 49] Operation: 23+26=49
Exploring Operation: 21+26=47, Resulting Numbers: [42, 23, 47]
Generated Node #0,3: 98:[42, 23, 47] Operation: 21+26=47
Moving to Node #0,2
Current State: 98:[42, 21, 49], Operations: ['23+26=49']
Exploring Operation: 42+21=63, Resulting Numbers: [49, 63]
Generated Node #0,2,0: 98:[49, 63] Operation: 42+21=63
Exploring Operation: 42-21=21, Resulting Numbers: [49, 21]
Generated Node #0,2,1: 98:[49, 21] Operation: 42-21=21
Exploring Operation: 42/21=2, Resulting Numbers: [49, 2]
Generated Node #0,2,2: 98:[49, 2] Operation: 42/21=2
Exploring Operation: 49-42=7, Resulting Numbers: [21, 7]
Generated Node #0,2,3: 98:[21, 7] Operation: 49-42=7
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 98:[49, 2], Operations: ['23+26=49', '42/21=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,98 unequal: No Solution
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,98 unequal: No Solution
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[42, 21, 23, 26], Operations: []
Exploring Operation: 23+26=49, Resulting Numbers: [42, 21, 49]
Generated Node #0,2: 98:[42, 21, 49] Operation: 23+26=49
Moving to Node #0,2
Current State: 98:[42, 21, 49], Operations: ['23+26=49']
Exploring Operation: 42/21=2, Resulting Numbers: [49, 2]
Generated Node #0,2,2: 98:[49, 2] Operation: 42/21=2
Moving to Node #0,2,2
Current State: 98:[49, 2], Operations: ['23+26=49', '42/21=2']
Exploring Operation: 49*2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
32,
38,
60,
58
] | 22 | [
"32*38=1216",
"60+1216=1276",
"1276/58=22"
] | Current State: 22:[32, 38, 60, 58], Operations: []
Exploring Operation: 32*38=1216, Resulting Numbers: [60, 58, 1216]
Generated Node #2: [60, 58, 1216] from Operation: 32*38=1216
Current State: 22:[60, 58, 1216], Operations: ['32*38=1216']
Exploring Operation: 60+1216=1276, Resulting Numbers: [58, 1276]
Generated Node #3: [58, 1276] from Operation: 60+1216=1276
Current State: 22:[58, 1276], Operations: ['32*38=1216', '60+1216=1276']
Exploring Operation: 1276/58=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[32, 38, 60, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [32, 38, 2]
Generated Node #0,0: 22:[32, 38, 2] Operation: 60-58=2
Exploring Operation: 60-38=22, Resulting Numbers: [32, 58, 22]
Generated Node #0,1: 22:[32, 58, 22] Operation: 60-38=22
Exploring Operation: 58-38=20, Resulting Numbers: [32, 60, 20]
Generated Node #0,2: 22:[32, 60, 20] Operation: 58-38=20
Moving to Node #0,0
Current State: 22:[32, 38, 2], Operations: ['60-58=2']
Exploring Operation: 38-32=6, Resulting Numbers: [2, 6]
Generated Node #0,0,0: 22:[2, 6] Operation: 38-32=6
Exploring Operation: 38/2=19, Resulting Numbers: [32, 19]
Generated Node #0,0,1: 22:[32, 19] Operation: 38/2=19
Exploring Operation: 32/2=16, Resulting Numbers: [38, 16]
Generated Node #0,0,2: 22:[38, 16] Operation: 32/2=16
Moving to Node #0,1
Current State: 22:[32, 58, 22], Operations: ['60-38=22']
Exploring Operation: 58-32=26, Resulting Numbers: [22, 26]
Generated Node #0,1,0: 22:[22, 26] Operation: 58-32=26
Exploring Operation: 32-22=10, Resulting Numbers: [58, 10]
Generated Node #0,1,1: 22:[58, 10] Operation: 32-22=10
Exploring Operation: 58-22=36, Resulting Numbers: [32, 36]
Generated Node #0,1,2: 22:[32, 36] Operation: 58-22=36
Moving to Node #0,2
Current State: 22:[32, 60, 20], Operations: ['58-38=20']
Exploring Operation: 60-20=40, Resulting Numbers: [32, 40]
Generated Node #0,2,0: 22:[32, 40] Operation: 60-20=40
Exploring Operation: 60-32=28, Resulting Numbers: [20, 28]
Generated Node #0,2,1: 22:[20, 28] Operation: 60-32=28
Exploring Operation: 60/20=3, Resulting Numbers: [32, 3]
Generated Node #0,2,2: 22:[32, 3] Operation: 60/20=3
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 22:[20, 28], Operations: ['58-38=20', '60-32=28']
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,22 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 22:[32, 3], Operations: ['58-38=20', '60/20=3']
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,22 unequal: No Solution
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,22 unequal: No Solution
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 22:[32, 40], Operations: ['58-38=20', '60-20=40']
Exploring Operation: 40-32=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Exploring Operation: 32+40=72, Resulting Numbers: [72]
72,22 unequal: No Solution
Exploring Operation: 32*40=1280, Resulting Numbers: [1280]
1280,22 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,0
Current State: 22:[2, 6], Operations: ['60-58=2', '38-32=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[22, 26], Operations: ['60-38=22', '58-32=26']
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,22 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,22 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[32, 19], Operations: ['60-58=2', '38/2=19']
Exploring Operation: 32-19=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 32+19=51, Resulting Numbers: [51]
51,22 unequal: No Solution
Exploring Operation: 32*19=608, Resulting Numbers: [608]
608,22 unequal: No Solution
Moving to Node #0,0,2
Current State: 22:[38, 16], Operations: ['60-58=2', '32/2=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,22 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[32, 38, 60, 58], Operations: []
Exploring Operation: 60-58=2, Resulting Numbers: [32, 38, 2]
Generated Node #0,0: 22:[32, 38, 2] Operation: 60-58=2
Moving to Node #0,0
Current State: 22:[32, 38, 2], Operations: ['60-58=2']
Exploring Operation: 32/2=16, Resulting Numbers: [38, 16]
Generated Node #0,0,2: 22:[38, 16] Operation: 32/2=16
Moving to Node #0,0,2
Current State: 22:[38, 16], Operations: ['60-58=2', '32/2=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 0.96875 | hs_3 | mult_heuristic |
[
26,
85,
82,
14
] | 16 | [
"85-82=3",
"14*3=42",
"42-26=16"
] | Current State: 16:[26, 85, 82, 14], Operations: []
Exploring Operation: 85-82=3, Resulting Numbers: [26, 14, 3]
Generated Node #2: [26, 14, 3] from Operation: 85-82=3
Current State: 16:[26, 14, 3], Operations: ['85-82=3']
Exploring Operation: 14*3=42, Resulting Numbers: [26, 42]
Generated Node #3: [26, 42] from Operation: 14*3=42
Current State: 16:[26, 42], Operations: ['85-82=3', '14*3=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[26, 85, 82, 14], Operations: []
Exploring Operation: 82-26=56, Resulting Numbers: [85, 14, 56]
Generated Node #0,0: 16:[85, 14, 56] Operation: 82-26=56
Exploring Operation: 85-82=3, Resulting Numbers: [26, 14, 3]
Generated Node #0,1: 16:[26, 14, 3] Operation: 85-82=3
Exploring Operation: 85-26=59, Resulting Numbers: [82, 14, 59]
Generated Node #0,2: 16:[82, 14, 59] Operation: 85-26=59
Moving to Node #0,1
Current State: 16:[26, 14, 3], Operations: ['85-82=3']
Exploring Operation: 26-14=12, Resulting Numbers: [3, 12]
Generated Node #0,1,0: 16:[3, 12] Operation: 26-14=12
Exploring Operation: 26-3=23, Resulting Numbers: [14, 23]
Generated Node #0,1,1: 16:[14, 23] Operation: 26-3=23
Exploring Operation: 14+3=17, Resulting Numbers: [26, 17]
Generated Node #0,1,2: 16:[26, 17] Operation: 14+3=17
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 16:[3, 12], Operations: ['85-82=3', '26-14=12']
Exploring Operation: 3+12=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 16:[14, 23], Operations: ['85-82=3', '26-3=23']
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,16 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,16 unequal: No Solution
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 16:[26, 17], Operations: ['85-82=3', '14+3=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,16 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,16 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: 16:[85, 14, 56], Operations: ['82-26=56']
Exploring Operation: 85-14=71, Resulting Numbers: [56, 71]
Generated Node #0,0,0: 16:[56, 71] Operation: 85-14=71
Exploring Operation: 85-56=29, Resulting Numbers: [14, 29]
Generated Node #0,0,1: 16:[14, 29] Operation: 85-56=29
Exploring Operation: 56/14=4, Resulting Numbers: [85, 4]
Generated Node #0,0,2: 16:[85, 4] Operation: 56/14=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[14, 29], Operations: ['82-26=56', '85-56=29']
Exploring Operation: 14*29=406, Resulting Numbers: [406]
406,16 unequal: No Solution
Exploring Operation: 29-14=15, Resulting Numbers: [15]
15,16 unequal: No Solution
Exploring Operation: 14+29=43, Resulting Numbers: [43]
43,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 16:[85, 4], Operations: ['82-26=56', '56/14=4']
Exploring Operation: 85*4=340, Resulting Numbers: [340]
340,16 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,16 unequal: No Solution
Exploring Operation: 85+4=89, Resulting Numbers: [89]
89,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[56, 71], Operations: ['82-26=56', '85-14=71']
Exploring Operation: 56*71=3976, Resulting Numbers: [3976]
3976,16 unequal: No Solution
Exploring Operation: 56+71=127, Resulting Numbers: [127]
127,16 unequal: No Solution
Exploring Operation: 71-56=15, Resulting Numbers: [15]
15,16 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: 16:[82, 14, 59], Operations: ['85-26=59']
Exploring Operation: 82-14=68, Resulting Numbers: [59, 68]
Generated Node #0,2,0: 16:[59, 68] Operation: 82-14=68
Exploring Operation: 59-14=45, Resulting Numbers: [82, 45]
Generated Node #0,2,1: 16:[82, 45] Operation: 59-14=45
Exploring Operation: 82-59=23, Resulting Numbers: [14, 23]
Generated Node #0,2,2: 16:[14, 23] Operation: 82-59=23
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 16:[14, 23], Operations: ['85-26=59', '82-59=23']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,16 unequal: No Solution
Exploring Operation: 14*23=322, Resulting Numbers: [322]
322,16 unequal: No Solution
Exploring Operation: 14+23=37, Resulting Numbers: [37]
37,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 16:[59, 68], Operations: ['85-26=59', '82-14=68']
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,16 unequal: No Solution
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,16 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 16:[82, 45], Operations: ['85-26=59', '59-14=45']
Exploring Operation: 82*45=3690, Resulting Numbers: [3690]
3690,16 unequal: No Solution
Exploring Operation: 82+45=127, Resulting Numbers: [127]
127,16 unequal: No Solution
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,16 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 |
[
54,
70,
2,
55
] | 67 | [
"54+70=124",
"2+55=57",
"124-57=67"
] | Current State: 67:[54, 70, 2, 55], Operations: []
Exploring Operation: 54+70=124, Resulting Numbers: [2, 55, 124]
Generated Node #2: [2, 55, 124] from Operation: 54+70=124
Current State: 67:[2, 55, 124], Operations: ['54+70=124']
Exploring Operation: 2+55=57, Resulting Numbers: [124, 57]
Generated Node #3: [124, 57] from Operation: 2+55=57
Current State: 67:[124, 57], Operations: ['54+70=124', '2+55=57']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[54, 70, 2, 55], Operations: []
Exploring Operation: 54+2=56, Resulting Numbers: [70, 55, 56]
Generated Node #0,0: 67:[70, 55, 56] Operation: 54+2=56
Exploring Operation: 2+55=57, Resulting Numbers: [54, 70, 57]
Generated Node #0,1: 67:[54, 70, 57] Operation: 2+55=57
Exploring Operation: 70-2=68, Resulting Numbers: [54, 55, 68]
Generated Node #0,2: 67:[54, 55, 68] Operation: 70-2=68
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[70, 55, 56], Operations: ['54+2=56']
Exploring Operation: 70-55=15, Resulting Numbers: [56, 15]
Generated Node #0,0,0: 67:[56, 15] Operation: 70-55=15
Exploring Operation: 70-56=14, Resulting Numbers: [55, 14]
Generated Node #0,0,1: 67:[55, 14] Operation: 70-56=14
Exploring Operation: 55+56=111, Resulting Numbers: [70, 111]
Generated Node #0,0,2: 67:[70, 111] Operation: 55+56=111
Moving to Node #0,0,2
Current State: 67:[70, 111], Operations: ['54+2=56', '55+56=111']
Exploring Operation: 70+111=181, Resulting Numbers: [181]
181,67 unequal: No Solution
Exploring Operation: 70*111=7770, Resulting Numbers: [7770]
7770,67 unequal: No Solution
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[56, 15], Operations: ['54+2=56', '70-55=15']
Exploring Operation: 56*15=840, Resulting Numbers: [840]
840,67 unequal: No Solution
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,67 unequal: No Solution
Exploring Operation: 56-15=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[55, 14], Operations: ['54+2=56', '70-56=14']
Exploring Operation: 55+14=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 55*14=770, Resulting Numbers: [770]
770,67 unequal: No Solution
Exploring Operation: 55-14=41, Resulting Numbers: [41]
41,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 67:[54, 70, 57], Operations: ['2+55=57']
Exploring Operation: 54+57=111, Resulting Numbers: [70, 111]
Generated Node #0,1,0: 67:[70, 111] Operation: 54+57=111
Exploring Operation: 54+70=124, Resulting Numbers: [57, 124]
Generated Node #0,1,1: 67:[57, 124] Operation: 54+70=124
Exploring Operation: 70-54=16, Resulting Numbers: [57, 16]
Generated Node #0,1,2: 67:[57, 16] Operation: 70-54=16
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 67:[70, 111], Operations: ['2+55=57', '54+57=111']
Exploring Operation: 70+111=181, Resulting Numbers: [181]
181,67 unequal: No Solution
Exploring Operation: 70*111=7770, Resulting Numbers: [7770]
7770,67 unequal: No Solution
Exploring Operation: 111-70=41, Resulting Numbers: [41]
41,67 unequal: No Solution
No 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: 67:[57, 16], Operations: ['2+55=57', '70-54=16']
Exploring Operation: 57*16=912, Resulting Numbers: [912]
912,67 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 57+16=73, Resulting Numbers: [73]
73,67 unequal: No Solution
No 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: 67:[57, 124], Operations: ['2+55=57', '54+70=124']
Exploring Operation: 57+124=181, Resulting Numbers: [181]
181,67 unequal: No Solution
Exploring Operation: 57*124=7068, Resulting Numbers: [7068]
7068,67 unequal: No Solution
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[54, 70, 2, 55], Operations: []
Exploring Operation: 2+55=57, Resulting Numbers: [54, 70, 57]
Generated Node #0,1: 67:[54, 70, 57] Operation: 2+55=57
Moving to Node #0,1
Current State: 67:[54, 70, 57], Operations: ['2+55=57']
Exploring Operation: 54+70=124, Resulting Numbers: [57, 124]
Generated Node #0,1,1: 67:[57, 124] Operation: 54+70=124
Moving to Node #0,1,1
Current State: 67:[57, 124], Operations: ['2+55=57', '54+70=124']
Exploring Operation: 124-57=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | mult_heuristic |
[
74,
85,
75,
52
] | 33 | [
"75-74=1",
"85-52=33",
"1*33=33"
] | Current State: 33:[74, 85, 75, 52], Operations: []
Exploring Operation: 75-74=1, Resulting Numbers: [85, 52, 1]
Generated Node #2: [85, 52, 1] from Operation: 75-74=1
Current State: 33:[85, 52, 1], Operations: ['75-74=1']
Exploring Operation: 85-52=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 85-52=33
Current State: 33:[1, 33], Operations: ['75-74=1', '85-52=33']
Exploring Operation: 1*33=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[74, 85, 75, 52], Operations: []
Exploring Operation: 85-74=11, Resulting Numbers: [75, 52, 11]
Generated Node #0,0: 33:[75, 52, 11] Operation: 85-74=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 33:[75, 52, 11], Operations: ['85-74=11']
Exploring Operation: 75-52=23, Resulting Numbers: [11, 23]
Generated Node #0,0,0: 33:[11, 23] Operation: 75-52=23
Moving to Node #0,0,0
Current State: 33:[11, 23], Operations: ['85-74=11', '75-52=23']
Exploring Operation: 11+23=34, Resulting Numbers: [34]
34,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
50,
59,
78,
56
] | 13 | [
"59-50=9",
"78-56=22",
"22-9=13"
] | Current State: 13:[50, 59, 78, 56], Operations: []
Exploring Operation: 59-50=9, Resulting Numbers: [78, 56, 9]
Generated Node #2: [78, 56, 9] from Operation: 59-50=9
Current State: 13:[78, 56, 9], Operations: ['59-50=9']
Exploring Operation: 78-56=22, Resulting Numbers: [9, 22]
Generated Node #3: [9, 22] from Operation: 78-56=22
Current State: 13:[9, 22], Operations: ['59-50=9', '78-56=22']
Exploring Operation: 22-9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[50, 59, 78, 56], Operations: []
Exploring Operation: 78-59=19, Resulting Numbers: [50, 56, 19]
Generated Node #0,0: 13:[50, 56, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[50, 56, 19], Operations: ['78-59=19']
Exploring Operation: 56-50=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 13:[19, 6] Operation: 56-50=6
Moving to Node #0,0,0
Current State: 13:[19, 6], Operations: ['78-59=19', '56-50=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[50, 59, 78, 56], Operations: []
Exploring Operation: 78-59=19, Resulting Numbers: [50, 56, 19]
Generated Node #0,0: 13:[50, 56, 19] Operation: 78-59=19
Moving to Node #0,0
Current State: 13:[50, 56, 19], Operations: ['78-59=19']
Exploring Operation: 56-50=6, Resulting Numbers: [19, 6]
Generated Node #0,0,0: 13:[19, 6] Operation: 56-50=6
Moving to Node #0,0,0
Current State: 13:[19, 6], Operations: ['78-59=19', '56-50=6']
Exploring Operation: 19-6=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | mult_heuristic |
[
5,
6,
96,
43
] | 22 | [
"43-5=38",
"96/6=16",
"38-16=22"
] | Current State: 22:[5, 6, 96, 43], Operations: []
Exploring Operation: 43-5=38, Resulting Numbers: [6, 96, 38]
Generated Node #2: [6, 96, 38] from Operation: 43-5=38
Current State: 22:[6, 96, 38], Operations: ['43-5=38']
Exploring Operation: 96/6=16, Resulting Numbers: [38, 16]
Generated Node #3: [38, 16] from Operation: 96/6=16
Current State: 22:[38, 16], Operations: ['43-5=38', '96/6=16']
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[5, 6, 96, 43], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [5, 43, 16]
Generated Node #0,0: 22:[5, 43, 16] Operation: 96/6=16
Exploring Operation: 96-43=53, Resulting Numbers: [5, 6, 53]
Generated Node #0,1: 22:[5, 6, 53] Operation: 96-43=53
Exploring Operation: 96-6=90, Resulting Numbers: [5, 43, 90]
Generated Node #0,2: 22:[5, 43, 90] Operation: 96-6=90
Exploring Operation: 43-6=37, Resulting Numbers: [5, 96, 37]
Generated Node #0,3: 22:[5, 96, 37] Operation: 43-6=37
Exploring Operation: 96-5=91, Resulting Numbers: [6, 43, 91]
Generated Node #0,4: 22:[6, 43, 91] Operation: 96-5=91
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[5, 43, 16], Operations: ['96/6=16']
Exploring Operation: 5+16=21, Resulting Numbers: [43, 21]
Generated Node #0,0,0: 22:[43, 21] Operation: 5+16=21
Exploring Operation: 5+43=48, Resulting Numbers: [16, 48]
Generated Node #0,0,1: 22:[16, 48] Operation: 5+43=48
Exploring Operation: 16-5=11, Resulting Numbers: [43, 11]
Generated Node #0,0,2: 22:[43, 11] Operation: 16-5=11
Exploring Operation: 43-16=27, Resulting Numbers: [5, 27]
Generated Node #0,0,3: 22:[5, 27] Operation: 43-16=27
Exploring Operation: 43-5=38, Resulting Numbers: [16, 38]
Generated Node #0,0,4: 22:[16, 38] Operation: 43-5=38
Moving to Node #0,0,3
Current State: 22:[5, 27], Operations: ['96/6=16', '43-16=27']
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,22 unequal: No Solution
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[5, 6, 96, 43], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [5, 43, 16]
Generated Node #0,0: 22:[5, 43, 16] Operation: 96/6=16
Moving to Node #0,0
Current State: 22:[5, 43, 16], Operations: ['96/6=16']
Exploring Operation: 43-16=27, Resulting Numbers: [5, 27]
Generated Node #0,0,3: 22:[5, 27] Operation: 43-16=27
Moving to Node #0,0,3
Current State: 22:[5, 27], Operations: ['96/6=16', '43-16=27']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
27,
20,
10,
46
] | 15 | [
"27*20=540",
"46-10=36",
"540/36=15"
] | Current State: 15:[27, 20, 10, 46], Operations: []
Exploring Operation: 27*20=540, Resulting Numbers: [10, 46, 540]
Generated Node #2: [10, 46, 540] from Operation: 27*20=540
Current State: 15:[10, 46, 540], Operations: ['27*20=540']
Exploring Operation: 46-10=36, Resulting Numbers: [540, 36]
Generated Node #3: [540, 36] from Operation: 46-10=36
Current State: 15:[540, 36], Operations: ['27*20=540', '46-10=36']
Exploring Operation: 540/36=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[27, 20, 10, 46], Operations: []
Exploring Operation: 46-20=26, Resulting Numbers: [27, 10, 26]
Generated Node #0,0: 15:[27, 10, 26] Operation: 46-20=26
Exploring Operation: 46-27=19, Resulting Numbers: [20, 10, 19]
Generated Node #0,1: 15:[20, 10, 19] Operation: 46-27=19
Exploring Operation: 27-20=7, Resulting Numbers: [10, 46, 7]
Generated Node #0,2: 15:[10, 46, 7] Operation: 27-20=7
Moving to Node #0,1
Current State: 15:[20, 10, 19], Operations: ['46-27=19']
Exploring Operation: 20-19=1, Resulting Numbers: [10, 1]
Generated Node #0,1,0: 15:[10, 1] Operation: 20-19=1
Exploring Operation: 20/10=2, Resulting Numbers: [19, 2]
Generated Node #0,1,1: 15:[19, 2] Operation: 20/10=2
Exploring Operation: 20-10=10, Resulting Numbers: [19, 10]
Generated Node #0,1,2: 15:[19, 10] Operation: 20-10=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[19, 2], Operations: ['46-27=19', '20/10=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,15 unequal: No Solution
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,15 unequal: No Solution
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[10, 1], Operations: ['46-27=19', '20-19=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[19, 10], Operations: ['46-27=19', '20-10=10']
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 19*10=190, Resulting Numbers: [190]
190,15 unequal: No Solution
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 15:[27, 10, 26], Operations: ['46-20=26']
Exploring Operation: 27-26=1, Resulting Numbers: [10, 1]
Generated Node #0,0,0: 15:[10, 1] Operation: 27-26=1
Exploring Operation: 27-10=17, Resulting Numbers: [26, 17]
Generated Node #0,0,1: 15:[26, 17] Operation: 27-10=17
Exploring Operation: 26-10=16, Resulting Numbers: [27, 16]
Generated Node #0,0,2: 15:[27, 16] Operation: 26-10=16
Moving to Node #0,2
Current State: 15:[10, 46, 7], Operations: ['27-20=7']
Exploring Operation: 10-7=3, Resulting Numbers: [46, 3]
Generated Node #0,2,0: 15:[46, 3] Operation: 10-7=3
Exploring Operation: 46-10=36, Resulting Numbers: [7, 36]
Generated Node #0,2,1: 15:[7, 36] Operation: 46-10=36
Exploring Operation: 46-7=39, Resulting Numbers: [10, 39]
Generated Node #0,2,2: 15:[10, 39] Operation: 46-7=39
Moving to Node #0,0,0
Current State: 15:[10, 1], Operations: ['46-20=26', '27-26=1']
Exploring Operation: 10+1=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Exploring Operation: 10-1=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 10*1=10, Resulting Numbers: [10]
10,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[27, 16], Operations: ['46-20=26', '26-10=16']
Exploring Operation: 27*16=432, Resulting Numbers: [432]
432,15 unequal: No Solution
Exploring Operation: 27+16=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 27-16=11, Resulting Numbers: [11]
11,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[26, 17], Operations: ['46-20=26', '27-10=17']
Exploring Operation: 26-17=9, Resulting Numbers: [9]
9,15 unequal: No Solution
Exploring Operation: 26*17=442, Resulting Numbers: [442]
442,15 unequal: No Solution
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[7, 36], Operations: ['27-20=7', '46-10=36']
Exploring Operation: 7+36=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 36-7=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Exploring Operation: 7*36=252, Resulting Numbers: [252]
252,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[10, 39], Operations: ['27-20=7', '46-7=39']
Exploring Operation: 10*39=390, Resulting Numbers: [390]
390,15 unequal: No Solution
Exploring Operation: 10+39=49, Resulting Numbers: [49]
49,15 unequal: No Solution
Exploring Operation: 39-10=29, Resulting Numbers: [29]
29,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[46, 3], Operations: ['27-20=7', '10-7=3']
Exploring Operation: 46*3=138, Resulting Numbers: [138]
138,15 unequal: No Solution
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,15 unequal: No Solution
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,15 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
19,
53,
85,
4
] | 79 | [
"19+85=104",
"104/4=26",
"53+26=79"
] | Current State: 79:[19, 53, 85, 4], Operations: []
Exploring Operation: 19+85=104, Resulting Numbers: [53, 4, 104]
Generated Node #2: [53, 4, 104] from Operation: 19+85=104
Current State: 79:[53, 4, 104], Operations: ['19+85=104']
Exploring Operation: 104/4=26, Resulting Numbers: [53, 26]
Generated Node #3: [53, 26] from Operation: 104/4=26
Current State: 79:[53, 26], Operations: ['19+85=104', '104/4=26']
Exploring Operation: 53+26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[19, 53, 85, 4], Operations: []
Exploring Operation: 19+53=72, Resulting Numbers: [85, 4, 72]
Generated Node #0,0: 79:[85, 4, 72] Operation: 19+53=72
Exploring Operation: 19+4=23, Resulting Numbers: [53, 85, 23]
Generated Node #0,1: 79:[53, 85, 23] Operation: 19+4=23
Exploring Operation: 85-4=81, Resulting Numbers: [19, 53, 81]
Generated Node #0,2: 79:[19, 53, 81] Operation: 85-4=81
Exploring Operation: 53+4=57, Resulting Numbers: [19, 85, 57]
Generated Node #0,3: 79:[19, 85, 57] Operation: 53+4=57
Exploring Operation: 19*4=76, Resulting Numbers: [53, 85, 76]
Generated Node #0,4: 79:[53, 85, 76] Operation: 19*4=76
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[53, 85, 76], Operations: ['19*4=76']
Exploring Operation: 85-53=32, Resulting Numbers: [76, 32]
Generated Node #0,4,0: 79:[76, 32] Operation: 85-53=32
Exploring Operation: 53+76=129, Resulting Numbers: [85, 129]
Generated Node #0,4,1: 79:[85, 129] Operation: 53+76=129
Exploring Operation: 53+85=138, Resulting Numbers: [76, 138]
Generated Node #0,4,2: 79:[76, 138] Operation: 53+85=138
Exploring Operation: 76-53=23, Resulting Numbers: [85, 23]
Generated Node #0,4,3: 79:[85, 23] Operation: 76-53=23
Exploring Operation: 85-76=9, Resulting Numbers: [53, 9]
Generated Node #0,4,4: 79:[53, 9] Operation: 85-76=9
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 79:[76, 32], Operations: ['19*4=76', '85-53=32']
Exploring Operation: 76+32=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 76*32=2432, Resulting Numbers: [2432]
2432,79 unequal: No Solution
Exploring Operation: 76-32=44, Resulting Numbers: [44]
44,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 79:[85, 129], Operations: ['19*4=76', '53+76=129']
Exploring Operation: 129-85=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 85*129=10965, Resulting Numbers: [10965]
10965,79 unequal: No Solution
Exploring Operation: 85+129=214, Resulting Numbers: [214]
214,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 79:[76, 138], Operations: ['19*4=76', '53+85=138']
Exploring Operation: 76*138=10488, Resulting Numbers: [10488]
10488,79 unequal: No Solution
Exploring Operation: 76+138=214, Resulting Numbers: [214]
214,79 unequal: No Solution
Exploring Operation: 138-76=62, Resulting Numbers: [62]
62,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 79:[85, 23], Operations: ['19*4=76', '76-53=23']
Exploring Operation: 85+23=108, Resulting Numbers: [108]
108,79 unequal: No Solution
Exploring Operation: 85-23=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 85*23=1955, Resulting Numbers: [1955]
1955,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 79:[53, 9], Operations: ['19*4=76', '85-76=9']
Exploring Operation: 53+9=62, Resulting Numbers: [62]
62,79 unequal: No Solution
Exploring Operation: 53-9=44, Resulting Numbers: [44]
44,79 unequal: No Solution
Exploring Operation: 53*9=477, Resulting Numbers: [477]
477,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[85, 4, 72], Operations: ['19+53=72']
Exploring Operation: 4+72=76, Resulting Numbers: [85, 76]
Generated Node #0,0,0: 79:[85, 76] Operation: 4+72=76
Exploring Operation: 85+4=89, Resulting Numbers: [72, 89]
Generated Node #0,0,1: 79:[72, 89] Operation: 85+4=89
Exploring Operation: 85-4=81, Resulting Numbers: [72, 81]
Generated Node #0,0,2: 79:[72, 81] Operation: 85-4=81
Exploring Operation: 72-4=68, Resulting Numbers: [85, 68]
Generated Node #0,0,3: 79:[85, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [85, 18]
Generated Node #0,0,4: 79:[85, 18] Operation: 72/4=18
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 79:[85, 76], Operations: ['19+53=72', '4+72=76']
Exploring Operation: 85-76=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 85+76=161, Resulting Numbers: [161]
161,79 unequal: No Solution
Exploring Operation: 85*76=6460, Resulting Numbers: [6460]
6460,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 79:[72, 81], Operations: ['19+53=72', '85-4=81']
Exploring Operation: 72+81=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 72*81=5832, Resulting Numbers: [5832]
5832,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 79:[72, 89], Operations: ['19+53=72', '85+4=89']
Exploring Operation: 89-72=17, Resulting Numbers: [17]
17,79 unequal: No Solution
Exploring Operation: 72*89=6408, Resulting Numbers: [6408]
6408,79 unequal: No Solution
Exploring Operation: 72+89=161, Resulting Numbers: [161]
161,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 79:[85, 68], Operations: ['19+53=72', '72-4=68']
Exploring Operation: 85*68=5780, Resulting Numbers: [5780]
5780,79 unequal: No Solution
Exploring Operation: 85+68=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 85-68=17, Resulting Numbers: [17]
17,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 79:[85, 18], Operations: ['19+53=72', '72/4=18']
Exploring Operation: 85-18=67, Resulting Numbers: [67]
67,79 unequal: No Solution
Exploring Operation: 85+18=103, Resulting Numbers: [103]
103,79 unequal: No Solution
Exploring Operation: 85*18=1530, Resulting Numbers: [1530]
1530,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[53, 85, 23], Operations: ['19+4=23']
Exploring Operation: 53-23=30, Resulting Numbers: [85, 30]
Generated Node #0,1,0: 79:[85, 30] Operation: 53-23=30
Exploring Operation: 85-23=62, Resulting Numbers: [53, 62]
Generated Node #0,1,1: 79:[53, 62] Operation: 85-23=62
Exploring Operation: 53+23=76, Resulting Numbers: [85, 76]
Generated Node #0,1,2: 79:[85, 76] Operation: 53+23=76
Exploring Operation: 85-53=32, Resulting Numbers: [23, 32]
Generated Node #0,1,3: 79:[23, 32] Operation: 85-53=32
Exploring Operation: 85+23=108, Resulting Numbers: [53, 108]
Generated Node #0,1,4: 79:[53, 108] Operation: 85+23=108
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[85, 76], Operations: ['19+4=23', '53+23=76']
Exploring Operation: 85*76=6460, Resulting Numbers: [6460]
6460,79 unequal: No Solution
Exploring Operation: 85+76=161, Resulting Numbers: [161]
161,79 unequal: No Solution
Exploring Operation: 85-76=9, Resulting Numbers: [9]
9,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[53, 62], Operations: ['19+4=23', '85-23=62']
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 53*62=3286, Resulting Numbers: [3286]
3286,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[85, 30], Operations: ['19+4=23', '53-23=30']
Exploring Operation: 85*30=2550, Resulting Numbers: [2550]
2550,79 unequal: No Solution
Exploring Operation: 85+30=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 79:[53, 108], Operations: ['19+4=23', '85+23=108']
Exploring Operation: 53+108=161, Resulting Numbers: [161]
161,79 unequal: No Solution
Exploring Operation: 108-53=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 53*108=5724, Resulting Numbers: [5724]
5724,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[23, 32], Operations: ['19+4=23', '85-53=32']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 23+32=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Exploring Operation: 23*32=736, Resulting Numbers: [736]
736,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[19, 53, 81], Operations: ['85-4=81']
Exploring Operation: 81-53=28, Resulting Numbers: [19, 28]
Generated Node #0,2,0: 79:[19, 28] Operation: 81-53=28
Exploring Operation: 81-19=62, Resulting Numbers: [53, 62]
Generated Node #0,2,1: 79:[53, 62] Operation: 81-19=62
Exploring Operation: 53-19=34, Resulting Numbers: [81, 34]
Generated Node #0,2,2: 79:[81, 34] Operation: 53-19=34
Exploring Operation: 19+53=72, Resulting Numbers: [81, 72]
Generated Node #0,2,3: 79:[81, 72] Operation: 19+53=72
Exploring Operation: 19+81=100, Resulting Numbers: [53, 100]
Generated Node #0,2,4: 79:[53, 100] Operation: 19+81=100
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[81, 72], Operations: ['85-4=81', '19+53=72']
Exploring Operation: 81+72=153, Resulting Numbers: [153]
153,79 unequal: No Solution
Exploring Operation: 81-72=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 81*72=5832, Resulting Numbers: [5832]
5832,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[53, 62], Operations: ['85-4=81', '81-19=62']
Exploring Operation: 53+62=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 62-53=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 53*62=3286, Resulting Numbers: [3286]
3286,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[81, 34], Operations: ['85-4=81', '53-19=34']
Exploring Operation: 81+34=115, Resulting Numbers: [115]
115,79 unequal: No Solution
Exploring Operation: 81*34=2754, Resulting Numbers: [2754]
2754,79 unequal: No Solution
Exploring Operation: 81-34=47, Resulting Numbers: [47]
47,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 79:[53, 100], Operations: ['85-4=81', '19+81=100']
Exploring Operation: 53*100=5300, Resulting Numbers: [5300]
5300,79 unequal: No Solution
Exploring Operation: 100-53=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 53+100=153, Resulting Numbers: [153]
153,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[19, 28], Operations: ['85-4=81', '81-53=28']
Exploring Operation: 28-19=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 19*28=532, Resulting Numbers: [532]
532,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[19, 85, 57], Operations: ['53+4=57']
Exploring Operation: 19+85=104, Resulting Numbers: [57, 104]
Generated Node #0,3,0: 79:[57, 104] Operation: 19+85=104
Exploring Operation: 57/19=3, Resulting Numbers: [85, 3]
Generated Node #0,3,1: 79:[85, 3] Operation: 57/19=3
Exploring Operation: 57-19=38, Resulting Numbers: [85, 38]
Generated Node #0,3,2: 79:[85, 38] Operation: 57-19=38
Exploring Operation: 19+57=76, Resulting Numbers: [85, 76]
Generated Node #0,3,3: 79:[85, 76] Operation: 19+57=76
Exploring Operation: 85-19=66, Resulting Numbers: [57, 66]
Generated Node #0,3,4: 79:[57, 66] Operation: 85-19=66
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 79:[85, 76], Operations: ['53+4=57', '19+57=76']
Exploring Operation: 85-76=9, Resulting Numbers: [9]
9,79 unequal: No Solution
Exploring Operation: 85+76=161, Resulting Numbers: [161]
161,79 unequal: No Solution
Exploring Operation: 85*76=6460, Resulting Numbers: [6460]
6460,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 79:[57, 66], Operations: ['53+4=57', '85-19=66']
Exploring Operation: 57*66=3762, Resulting Numbers: [3762]
3762,79 unequal: No Solution
Exploring Operation: 57+66=123, Resulting Numbers: [123]
123,79 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 79:[57, 104], Operations: ['53+4=57', '19+85=104']
Exploring Operation: 57*104=5928, Resulting Numbers: [5928]
5928,79 unequal: No Solution
Exploring Operation: 57+104=161, Resulting Numbers: [161]
161,79 unequal: No Solution
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 79:[85, 38], Operations: ['53+4=57', '57-19=38']
Exploring Operation: 85*38=3230, Resulting Numbers: [3230]
3230,79 unequal: No Solution
Exploring Operation: 85-38=47, Resulting Numbers: [47]
47,79 unequal: No Solution
Exploring Operation: 85+38=123, Resulting Numbers: [123]
123,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 79:[85, 3], Operations: ['53+4=57', '57/19=3']
Exploring Operation: 85*3=255, Resulting Numbers: [255]
255,79 unequal: No Solution
Exploring Operation: 85-3=82, Resulting Numbers: [82]
82,79 unequal: No Solution
Exploring Operation: 85+3=88, Resulting Numbers: [88]
88,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | sum_heuristic |
[
79,
61,
62,
17
] | 96 | [
"79+17=96",
"62-61=1",
"96*1=96"
] | Current State: 96:[79, 61, 62, 17], Operations: []
Exploring Operation: 79+17=96, Resulting Numbers: [61, 62, 96]
Generated Node #2: [61, 62, 96] from Operation: 79+17=96
Current State: 96:[61, 62, 96], Operations: ['79+17=96']
Exploring Operation: 62-61=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 62-61=1
Current State: 96:[96, 1], Operations: ['79+17=96', '62-61=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[79, 61, 62, 17], Operations: []
Exploring Operation: 79-61=18, Resulting Numbers: [62, 17, 18]
Generated Node #0,0: 96:[62, 17, 18] Operation: 79-61=18
Exploring Operation: 62-61=1, Resulting Numbers: [79, 17, 1]
Generated Node #0,1: 96:[79, 17, 1] Operation: 62-61=1
Exploring Operation: 79-62=17, Resulting Numbers: [61, 17, 17]
Generated Node #0,2: 96:[61, 17, 17] Operation: 79-62=17
Exploring Operation: 79+17=96, Resulting Numbers: [61, 62, 96]
Generated Node #0,3: 96:[61, 62, 96] Operation: 79+17=96
Moving to Node #0,2
Current State: 96:[61, 17, 17], Operations: ['79-62=17']
Exploring Operation: 61-17=44, Resulting Numbers: [17, 44]
Generated Node #0,2,0: 96:[17, 44] Operation: 61-17=44
Exploring Operation: 61-17=44, Resulting Numbers: [17, 44]
Generated Node #0,2,1: 96:[17, 44] Operation: 61-17=44
Exploring Operation: 17/17=1, Resulting Numbers: [61, 1]
Generated Node #0,2,2: 96:[61, 1] Operation: 17/17=1
Exploring Operation: 17+17=34, Resulting Numbers: [61, 34]
Generated Node #0,2,3: 96:[61, 34] Operation: 17+17=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[17, 44], Operations: ['79-62=17', '61-17=44']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 17*44=748, Resulting Numbers: [748]
748,96 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 #0,2,1
Current State: 96:[17, 44], Operations: ['79-62=17', '61-17=44']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 17*44=748, Resulting Numbers: [748]
748,96 unequal: No Solution
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,96 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 #0,2,2
Current State: 96:[61, 1], Operations: ['79-62=17', '17/17=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,96 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 #0,2,3
Current State: 96:[61, 34], Operations: ['79-62=17', '17+17=34']
Exploring Operation: 61*34=2074, Resulting Numbers: [2074]
2074,96 unequal: No Solution
Exploring Operation: 61-34=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 61+34=95, Resulting Numbers: [95]
95,96 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: 96:[62, 17, 18], Operations: ['79-61=18']
Exploring Operation: 62-18=44, Resulting Numbers: [17, 44]
Generated Node #0,0,0: 96:[17, 44] Operation: 62-18=44
Exploring Operation: 62+18=80, Resulting Numbers: [17, 80]
Generated Node #0,0,1: 96:[17, 80] Operation: 62+18=80
Exploring Operation: 62-17=45, Resulting Numbers: [18, 45]
Generated Node #0,0,2: 96:[18, 45] Operation: 62-17=45
Exploring Operation: 18-17=1, Resulting Numbers: [62, 1]
Generated Node #0,0,3: 96:[62, 1] Operation: 18-17=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[17, 44], Operations: ['79-61=18', '62-18=44']
Exploring Operation: 44-17=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 17+44=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 17*44=748, Resulting Numbers: [748]
748,96 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:[18, 45], Operations: ['79-61=18', '62-17=45']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,96 unequal: No Solution
Exploring Operation: 18*45=810, Resulting Numbers: [810]
810,96 unequal: No Solution
Exploring Operation: 18+45=63, Resulting Numbers: [63]
63,96 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:[62, 1], Operations: ['79-61=18', '18-17=1']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,96 unequal: No Solution
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,96 unequal: No Solution
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,96 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 #0,0,1
Current State: 96:[17, 80], Operations: ['79-61=18', '62+18=80']
Exploring Operation: 80-17=63, Resulting Numbers: [63]
63,96 unequal: No Solution
Exploring Operation: 17+80=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 17*80=1360, Resulting Numbers: [1360]
1360,96 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:[79, 17, 1], Operations: ['62-61=1']
Exploring Operation: 79-17=62, Resulting Numbers: [1, 62]
Generated Node #0,1,0: 96:[1, 62] Operation: 79-17=62
Exploring Operation: 79+1=80, Resulting Numbers: [17, 80]
Generated Node #0,1,1: 96:[17, 80] Operation: 79+1=80
Exploring Operation: 79+17=96, Resulting Numbers: [1, 96]
Generated Node #0,1,2: 96:[1, 96] Operation: 79+17=96
Exploring Operation: 17-1=16, Resulting Numbers: [79, 16]
Generated Node #0,1,3: 96:[79, 16] Operation: 17-1=16
Moving to Node #0,3
Current State: 96:[61, 62, 96], Operations: ['79+17=96']
Exploring Operation: 62-61=1, Resulting Numbers: [96, 1]
Generated Node #0,3,0: 96:[96, 1] Operation: 62-61=1
Exploring Operation: 61+62=123, Resulting Numbers: [96, 123]
Generated Node #0,3,1: 96:[96, 123] Operation: 61+62=123
Exploring Operation: 96-62=34, Resulting Numbers: [61, 34]
Generated Node #0,3,2: 96:[61, 34] Operation: 96-62=34
Exploring Operation: 96-61=35, Resulting Numbers: [62, 35]
Generated Node #0,3,3: 96:[62, 35] Operation: 96-61=35
Moving to Node #0,1,2
Current State: 96:[1, 96], Operations: ['62-61=1', '79+17=96']
Exploring Operation: 96-1=95, Resulting Numbers: [95]
95,96 unequal: No Solution
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[79, 61, 62, 17], Operations: []
Exploring Operation: 62-61=1, Resulting Numbers: [79, 17, 1]
Generated Node #0,1: 96:[79, 17, 1] Operation: 62-61=1
Moving to Node #0,1
Current State: 96:[79, 17, 1], Operations: ['62-61=1']
Exploring Operation: 79+17=96, Resulting Numbers: [1, 96]
Generated Node #0,1,2: 96:[1, 96] Operation: 79+17=96
Moving to Node #0,1,2
Current State: 96:[1, 96], Operations: ['62-61=1', '79+17=96']
Exploring Operation: 96/1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.954861 | hs_4 | mult_heuristic |
[
6,
58,
2,
98
] | 44 | [
"58-6=52",
"98-2=96",
"96-52=44"
] | Current State: 44:[6, 58, 2, 98], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [2, 98, 52]
Generated Node #2: [2, 98, 52] from Operation: 58-6=52
Current State: 44:[2, 98, 52], Operations: ['58-6=52']
Exploring Operation: 98-2=96, Resulting Numbers: [52, 96]
Generated Node #3: [52, 96] from Operation: 98-2=96
Current State: 44:[52, 96], Operations: ['58-6=52', '98-2=96']
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 | Current State: 44:[6, 58, 2, 98], Operations: []
Exploring Operation: 58-6=52, Resulting Numbers: [2, 98, 52]
Generated Node #0,0: 44:[2, 98, 52] Operation: 58-6=52
Exploring Operation: 98-58=40, Resulting Numbers: [6, 2, 40]
Generated Node #0,1: 44:[6, 2, 40] Operation: 98-58=40
Exploring Operation: 98/2=49, Resulting Numbers: [6, 58, 49]
Generated Node #0,2: 44:[6, 58, 49] Operation: 98/2=49
Start Sub Search at level 1: Moving to Node #0,1
Current State: 44:[6, 2, 40], Operations: ['98-58=40']
Exploring Operation: 6+40=46, Resulting Numbers: [2, 46]
Generated Node #0,1,0: 44:[2, 46] Operation: 6+40=46
Exploring Operation: 2+40=42, Resulting Numbers: [6, 42]
Generated Node #0,1,1: 44:[6, 42] Operation: 2+40=42
Exploring Operation: 6-2=4, Resulting Numbers: [40, 4]
Generated Node #0,1,2: 44:[40, 4] Operation: 6-2=4
Moving to Node #0,1,0
Current State: 44:[2, 46], Operations: ['98-58=40', '6+40=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Moving to Node #0
Current State: 44:[6, 58, 2, 98], Operations: []
Exploring Operation: 98-58=40, Resulting Numbers: [6, 2, 40]
Generated Node #0,1: 44:[6, 2, 40] Operation: 98-58=40
Moving to Node #0,1
Current State: 44:[6, 2, 40], Operations: ['98-58=40']
Exploring Operation: 6+40=46, Resulting Numbers: [2, 46]
Generated Node #0,1,0: 44:[2, 46] Operation: 6+40=46
Moving to Node #0,1,0
Current State: 44:[2, 46], Operations: ['98-58=40', '6+40=46']
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | sum_heuristic |
[
10,
85,
52,
41
] | 84 | [
"10+85=95",
"52-41=11",
"95-11=84"
] | Current State: 84:[10, 85, 52, 41], Operations: []
Exploring Operation: 10+85=95, Resulting Numbers: [52, 41, 95]
Generated Node #2: [52, 41, 95] from Operation: 10+85=95
Current State: 84:[52, 41, 95], Operations: ['10+85=95']
Exploring Operation: 52-41=11, Resulting Numbers: [95, 11]
Generated Node #3: [95, 11] from Operation: 52-41=11
Current State: 84:[95, 11], Operations: ['10+85=95', '52-41=11']
Exploring Operation: 95-11=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[10, 85, 52, 41], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [85, 41, 42]
Generated Node #0,0: 84:[85, 41, 42] Operation: 52-10=42
Exploring Operation: 52-41=11, Resulting Numbers: [10, 85, 11]
Generated Node #0,1: 84:[10, 85, 11] Operation: 52-41=11
Exploring Operation: 85-52=33, Resulting Numbers: [10, 41, 33]
Generated Node #0,2: 84:[10, 41, 33] Operation: 85-52=33
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[85, 41, 42], Operations: ['52-10=42']
Exploring Operation: 41+42=83, Resulting Numbers: [85, 83]
Generated Node #0,0,0: 84:[85, 83] Operation: 41+42=83
Exploring Operation: 85-42=43, Resulting Numbers: [41, 43]
Generated Node #0,0,1: 84:[41, 43] Operation: 85-42=43
Exploring Operation: 85-41=44, Resulting Numbers: [42, 44]
Generated Node #0,0,2: 84:[42, 44] Operation: 85-41=44
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 84:[85, 83], Operations: ['52-10=42', '41+42=83']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,84 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,84 unequal: No Solution
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,84 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:[41, 43], Operations: ['52-10=42', '85-42=43']
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[10, 85, 52, 41], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [85, 41, 42]
Generated Node #0,0: 84:[85, 41, 42] Operation: 52-10=42
Moving to Node #0,0
Current State: 84:[85, 41, 42], Operations: ['52-10=42']
Exploring Operation: 85-42=43, Resulting Numbers: [41, 43]
Generated Node #0,0,1: 84:[41, 43] Operation: 85-42=43
Moving to Node #0,0,1
Current State: 84:[41, 43], Operations: ['52-10=42', '85-42=43']
Exploring Operation: 41+43=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_3 | mult_heuristic |
[
10,
11,
70,
87
] | 17 | [
"11-10=1",
"87-70=17",
"1*17=17"
] | Current State: 17:[10, 11, 70, 87], Operations: []
Exploring Operation: 11-10=1, Resulting Numbers: [70, 87, 1]
Generated Node #2: [70, 87, 1] from Operation: 11-10=1
Current State: 17:[70, 87, 1], Operations: ['11-10=1']
Exploring Operation: 87-70=17, Resulting Numbers: [1, 17]
Generated Node #3: [1, 17] from Operation: 87-70=17
Current State: 17:[1, 17], Operations: ['11-10=1', '87-70=17']
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[10, 11, 70, 87], Operations: []
Exploring Operation: 70-10=60, Resulting Numbers: [11, 87, 60]
Generated Node #0,0: 17:[11, 87, 60] Operation: 70-10=60
Exploring Operation: 70/10=7, Resulting Numbers: [11, 87, 7]
Generated Node #0,1: 17:[11, 87, 7] Operation: 70/10=7
Exploring Operation: 87-70=17, Resulting Numbers: [10, 11, 17]
Generated Node #0,2: 17:[10, 11, 17] Operation: 87-70=17
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[10, 11, 17], Operations: ['87-70=17']
Exploring Operation: 10+11=21, Resulting Numbers: [17, 21]
Generated Node #0,2,0: 17:[17, 21] Operation: 10+11=21
Exploring Operation: 10+17=27, Resulting Numbers: [11, 27]
Generated Node #0,2,1: 17:[11, 27] Operation: 10+17=27
Exploring Operation: 11-10=1, Resulting Numbers: [17, 1]
Generated Node #0,2,2: 17:[17, 1] Operation: 11-10=1
Moving to Node #0,2,0
Current State: 17:[17, 21], Operations: ['87-70=17', '10+11=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,17 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,17 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[11, 27], Operations: ['87-70=17', '10+17=27']
Exploring Operation: 11*27=297, Resulting Numbers: [297]
297,17 unequal: No Solution
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[17, 1], Operations: ['87-70=17', '11-10=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[10, 11, 70, 87], Operations: []
Exploring Operation: 87-70=17, Resulting Numbers: [10, 11, 17]
Generated Node #0,2: 17:[10, 11, 17] Operation: 87-70=17
Moving to Node #0,2
Current State: 17:[10, 11, 17], Operations: ['87-70=17']
Exploring Operation: 11-10=1, Resulting Numbers: [17, 1]
Generated Node #0,2,2: 17:[17, 1] Operation: 11-10=1
Moving to Node #0,2,2
Current State: 17:[17, 1], Operations: ['87-70=17', '11-10=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | mult_heuristic |
[
83,
18,
16,
69
] | 16 | [
"83+18=101",
"16+69=85",
"101-85=16"
] | Current State: 16:[83, 18, 16, 69], Operations: []
Exploring Operation: 83+18=101, Resulting Numbers: [16, 69, 101]
Generated Node #2: [16, 69, 101] from Operation: 83+18=101
Current State: 16:[16, 69, 101], Operations: ['83+18=101']
Exploring Operation: 16+69=85, Resulting Numbers: [101, 85]
Generated Node #3: [101, 85] from Operation: 16+69=85
Current State: 16:[101, 85], Operations: ['83+18=101', '16+69=85']
Exploring Operation: 101-85=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[83, 18, 16, 69], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [18, 16, 14]
Generated Node #0,0: 16:[18, 16, 14] Operation: 83-69=14
Exploring Operation: 83-18=65, Resulting Numbers: [16, 69, 65]
Generated Node #0,1: 16:[16, 69, 65] Operation: 83-18=65
Exploring Operation: 69-18=51, Resulting Numbers: [83, 16, 51]
Generated Node #0,2: 16:[83, 16, 51] Operation: 69-18=51
Exploring Operation: 83-16=67, Resulting Numbers: [18, 69, 67]
Generated Node #0,3: 16:[18, 69, 67] Operation: 83-16=67
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[18, 16, 14], Operations: ['83-69=14']
Exploring Operation: 18-14=4, Resulting Numbers: [16, 4]
Generated Node #0,0,0: 16:[16, 4] Operation: 18-14=4
Exploring Operation: 18+14=32, Resulting Numbers: [16, 32]
Generated Node #0,0,1: 16:[16, 32] Operation: 18+14=32
Exploring Operation: 18-16=2, Resulting Numbers: [14, 2]
Generated Node #0,0,2: 16:[14, 2] Operation: 18-16=2
Exploring Operation: 16-14=2, Resulting Numbers: [18, 2]
Generated Node #0,0,3: 16:[18, 2] Operation: 16-14=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 16:[16, 4], Operations: ['83-69=14', '18-14=4']
Exploring Operation: 16/4=4, Resulting Numbers: [4]
4,16 unequal: No Solution
Exploring Operation: 16*4=64, Resulting Numbers: [64]
64,16 unequal: No Solution
Exploring Operation: 16+4=20, Resulting Numbers: [20]
20,16 unequal: No Solution
Exploring Operation: 16-4=12, Resulting Numbers: [12]
12,16 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 16:[14, 2], Operations: ['83-69=14', '18-16=2']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,16 unequal: No Solution
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,16 unequal: No Solution
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,16 unequal: No Solution
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[83, 18, 16, 69], Operations: []
Exploring Operation: 83-69=14, Resulting Numbers: [18, 16, 14]
Generated Node #0,0: 16:[18, 16, 14] Operation: 83-69=14
Moving to Node #0,0
Current State: 16:[18, 16, 14], Operations: ['83-69=14']
Exploring Operation: 18-16=2, Resulting Numbers: [14, 2]
Generated Node #0,0,2: 16:[14, 2] Operation: 18-16=2
Moving to Node #0,0,2
Current State: 16:[14, 2], Operations: ['83-69=14', '18-16=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
88,
38,
60,
2
] | 39 | [
"38+60=98",
"98/2=49",
"88-49=39"
] | Current State: 39:[88, 38, 60, 2], Operations: []
Exploring Operation: 38+60=98, Resulting Numbers: [88, 2, 98]
Generated Node #2: [88, 2, 98] from Operation: 38+60=98
Current State: 39:[88, 2, 98], Operations: ['38+60=98']
Exploring Operation: 98/2=49, Resulting Numbers: [88, 49]
Generated Node #3: [88, 49] from Operation: 98/2=49
Current State: 39:[88, 49], Operations: ['38+60=98', '98/2=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[88, 38, 60, 2], Operations: []
Exploring Operation: 88-60=28, Resulting Numbers: [38, 2, 28]
Generated Node #0,0: 39:[38, 2, 28] Operation: 88-60=28
Exploring Operation: 88/2=44, Resulting Numbers: [38, 60, 44]
Generated Node #0,1: 39:[38, 60, 44] Operation: 88/2=44
Moving to Node #0,0
Current State: 39:[38, 2, 28], Operations: ['88-60=28']
Exploring Operation: 28/2=14, Resulting Numbers: [38, 14]
Generated Node #0,0,0: 39:[38, 14] Operation: 28/2=14
Exploring Operation: 38-28=10, Resulting Numbers: [2, 10]
Generated Node #0,0,1: 39:[2, 10] Operation: 38-28=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[38, 14], Operations: ['88-60=28', '28/2=14']
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,39 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 39:[2, 10], Operations: ['88-60=28', '38-28=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,39 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 39:[38, 60, 44], Operations: ['88/2=44']
Exploring Operation: 60-44=16, Resulting Numbers: [38, 16]
Generated Node #0,1,0: 39:[38, 16] Operation: 60-44=16
Exploring Operation: 60-38=22, Resulting Numbers: [44, 22]
Generated Node #0,1,1: 39:[44, 22] Operation: 60-38=22
Moving to Node #0,1,0
Current State: 39:[38, 16], Operations: ['88/2=44', '60-44=16']
Exploring Operation: 38+16=54, Resulting Numbers: [54]
54,39 unequal: No Solution
Exploring Operation: 38-16=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Moving to Node #0,1,1
Current State: 39:[44, 22], Operations: ['88/2=44', '60-38=22']
Exploring Operation: 44-22=22, Resulting Numbers: [22]
22,39 unequal: No Solution
Exploring Operation: 44/22=2, Resulting Numbers: [2]
2,39 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
49,
40,
24,
51
] | 60 | [
"49+51=100",
"24*100=2400",
"2400/40=60"
] | Current State: 60:[49, 40, 24, 51], Operations: []
Exploring Operation: 49+51=100, Resulting Numbers: [40, 24, 100]
Generated Node #2: [40, 24, 100] from Operation: 49+51=100
Current State: 60:[40, 24, 100], Operations: ['49+51=100']
Exploring Operation: 24*100=2400, Resulting Numbers: [40, 2400]
Generated Node #3: [40, 2400] from Operation: 24*100=2400
Current State: 60:[40, 2400], Operations: ['49+51=100', '24*100=2400']
Exploring Operation: 2400/40=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 | Current State: 60:[49, 40, 24, 51], Operations: []
Exploring Operation: 49-40=9, Resulting Numbers: [24, 51, 9]
Generated Node #0,0: 60:[24, 51, 9] Operation: 49-40=9
Exploring Operation: 40-24=16, Resulting Numbers: [49, 51, 16]
Generated Node #0,1: 60:[49, 51, 16] Operation: 40-24=16
Exploring Operation: 51-49=2, Resulting Numbers: [40, 24, 2]
Generated Node #0,2: 60:[40, 24, 2] Operation: 51-49=2
Exploring Operation: 51-40=11, Resulting Numbers: [49, 24, 11]
Generated Node #0,3: 60:[49, 24, 11] Operation: 51-40=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 60:[24, 51, 9], Operations: ['49-40=9']
Exploring Operation: 24-9=15, Resulting Numbers: [51, 15]
Generated Node #0,0,0: 60:[51, 15] Operation: 24-9=15
Exploring Operation: 51+9=60, Resulting Numbers: [24, 60]
Generated Node #0,0,1: 60:[24, 60] Operation: 51+9=60
Exploring Operation: 51-24=27, Resulting Numbers: [9, 27]
Generated Node #0,0,2: 60:[9, 27] Operation: 51-24=27
Exploring Operation: 24+9=33, Resulting Numbers: [51, 33]
Generated Node #0,0,3: 60:[51, 33] Operation: 24+9=33
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 60:[24, 60], Operations: ['49-40=9', '51+9=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,60 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,60 unequal: No Solution
No 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: 60:[9, 27], Operations: ['49-40=9', '51-24=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Exploring Operation: 9*27=243, Resulting Numbers: [243]
243,60 unequal: No Solution
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,60 unequal: No Solution
No 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: 60:[51, 15], Operations: ['49-40=9', '24-9=15']
Exploring Operation: 51+15=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 51*15=765, Resulting Numbers: [765]
765,60 unequal: No Solution
Exploring Operation: 51-15=36, Resulting Numbers: [36]
36,60 unequal: No Solution
No 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: 60:[51, 33], Operations: ['49-40=9', '24+9=33']
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 51*33=1683, Resulting Numbers: [1683]
1683,60 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 60:[40, 24, 2], Operations: ['51-49=2']
Exploring Operation: 40/2=20, Resulting Numbers: [24, 20]
Generated Node #0,2,0: 60:[24, 20] Operation: 40/2=20
Exploring Operation: 40+24=64, Resulting Numbers: [2, 64]
Generated Node #0,2,1: 60:[2, 64] Operation: 40+24=64
Exploring Operation: 24/2=12, Resulting Numbers: [40, 12]
Generated Node #0,2,2: 60:[40, 12] Operation: 24/2=12
Exploring Operation: 40-24=16, Resulting Numbers: [2, 16]
Generated Node #0,2,3: 60:[2, 16] Operation: 40-24=16
Moving to Node #0,2,3
Current State: 60:[2, 16], Operations: ['51-49=2', '40-24=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[2, 64], Operations: ['51-49=2', '40+24=64']
Exploring Operation: 2+64=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Exploring Operation: 2*64=128, Resulting Numbers: [128]
128,60 unequal: No Solution
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[24, 20], Operations: ['51-49=2', '40/2=20']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,60 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[40, 12], Operations: ['51-49=2', '24/2=12']
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,60 unequal: No Solution
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Exploring Operation: 40*12=480, Resulting Numbers: [480]
480,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 60:[49, 24, 11], Operations: ['51-40=11']
Exploring Operation: 24-11=13, Resulting Numbers: [49, 13]
Generated Node #0,3,0: 60:[49, 13] Operation: 24-11=13
Exploring Operation: 49-24=25, Resulting Numbers: [11, 25]
Generated Node #0,3,1: 60:[11, 25] Operation: 49-24=25
Exploring Operation: 49+11=60, Resulting Numbers: [24, 60]
Generated Node #0,3,2: 60:[24, 60] Operation: 49+11=60
Exploring Operation: 49-11=38, Resulting Numbers: [24, 38]
Generated Node #0,3,3: 60:[24, 38] Operation: 49-11=38
Moving to Node #0,3,2
Current State: 60:[24, 60], Operations: ['51-40=11', '49+11=60']
Exploring Operation: 24*60=1440, Resulting Numbers: [1440]
1440,60 unequal: No Solution
Exploring Operation: 60-24=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[11, 25], Operations: ['51-40=11', '49-24=25']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 11+25=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 11*25=275, Resulting Numbers: [275]
275,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[24, 38], Operations: ['51-40=11', '49-11=38']
Exploring Operation: 24+38=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 24*38=912, Resulting Numbers: [912]
912,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[49, 13], Operations: ['51-40=11', '24-11=13']
Exploring Operation: 49*13=637, Resulting Numbers: [637]
637,60 unequal: No Solution
Exploring Operation: 49-13=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Exploring Operation: 49+13=62, Resulting Numbers: [62]
62,60 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 60:[49, 51, 16], Operations: ['40-24=16']
Exploring Operation: 49-16=33, Resulting Numbers: [51, 33]
Generated Node #0,1,0: 60:[51, 33] Operation: 49-16=33
Exploring Operation: 49+16=65, Resulting Numbers: [51, 65]
Generated Node #0,1,1: 60:[51, 65] Operation: 49+16=65
Exploring Operation: 51-16=35, Resulting Numbers: [49, 35]
Generated Node #0,1,2: 60:[49, 35] Operation: 51-16=35
Exploring Operation: 51-49=2, Resulting Numbers: [16, 2]
Generated Node #0,1,3: 60:[16, 2] Operation: 51-49=2
Moving to Node #0,1,3
Current State: 60:[16, 2], Operations: ['40-24=16', '51-49=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,60 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,60 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[51, 33], Operations: ['40-24=16', '49-16=33']
Exploring Operation: 51+33=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 51-33=18, Resulting Numbers: [18]
18,60 unequal: No Solution
Exploring Operation: 51*33=1683, Resulting Numbers: [1683]
1683,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[51, 65], Operations: ['40-24=16', '49+16=65']
Exploring Operation: 51*65=3315, Resulting Numbers: [3315]
3315,60 unequal: No Solution
Exploring Operation: 51+65=116, Resulting Numbers: [116]
116,60 unequal: No Solution
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[49, 35], Operations: ['40-24=16', '51-16=35']
Exploring Operation: 49*35=1715, Resulting Numbers: [1715]
1715,60 unequal: No Solution
Exploring Operation: 49+35=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Exploring Operation: 49-35=14, Resulting Numbers: [14]
14,60 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 |
[
18,
90,
12,
7
] | 25 | [
"90/18=5",
"12-7=5",
"5*5=25"
] | Current State: 25:[18, 90, 12, 7], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [12, 7, 5]
Generated Node #2: [12, 7, 5] from Operation: 90/18=5
Current State: 25:[12, 7, 5], Operations: ['90/18=5']
Exploring Operation: 12-7=5, Resulting Numbers: [5, 5]
Generated Node #3: [5, 5] from Operation: 12-7=5
Current State: 25:[5, 5], Operations: ['90/18=5', '12-7=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[18, 90, 12, 7], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [12, 7, 72]
Generated Node #0,0: 25:[12, 7, 72] Operation: 90-18=72
Exploring Operation: 18-12=6, Resulting Numbers: [90, 7, 6]
Generated Node #0,1: 25:[90, 7, 6] Operation: 18-12=6
Exploring Operation: 90-12=78, Resulting Numbers: [18, 7, 78]
Generated Node #0,2: 25:[18, 7, 78] Operation: 90-12=78
Exploring Operation: 90/18=5, Resulting Numbers: [12, 7, 5]
Generated Node #0,3: 25:[12, 7, 5] Operation: 90/18=5
Exploring Operation: 18+12=30, Resulting Numbers: [90, 7, 30]
Generated Node #0,4: 25:[90, 7, 30] Operation: 18+12=30
Moving to Node #0,3
Current State: 25:[12, 7, 5], Operations: ['90/18=5']
Exploring Operation: 12+5=17, Resulting Numbers: [7, 17]
Generated Node #0,3,0: 25:[7, 17] Operation: 12+5=17
Exploring Operation: 7-5=2, Resulting Numbers: [12, 2]
Generated Node #0,3,1: 25:[12, 2] Operation: 7-5=2
Exploring Operation: 12+7=19, Resulting Numbers: [5, 19]
Generated Node #0,3,2: 25:[5, 19] Operation: 12+7=19
Exploring Operation: 12-7=5, Resulting Numbers: [5, 5]
Generated Node #0,3,3: 25:[5, 5] Operation: 12-7=5
Exploring Operation: 12-5=7, Resulting Numbers: [7, 7]
Generated Node #0,3,4: 25:[7, 7] Operation: 12-5=7
Moving to Node #0,0
Current State: 25:[12, 7, 72], Operations: ['90-18=72']
Exploring Operation: 72-7=65, Resulting Numbers: [12, 65]
Generated Node #0,0,0: 25:[12, 65] Operation: 72-7=65
Exploring Operation: 12+7=19, Resulting Numbers: [72, 19]
Generated Node #0,0,1: 25:[72, 19] Operation: 12+7=19
Exploring Operation: 72/12=6, Resulting Numbers: [7, 6]
Generated Node #0,0,2: 25:[7, 6] Operation: 72/12=6
Exploring Operation: 12-7=5, Resulting Numbers: [72, 5]
Generated Node #0,0,3: 25:[72, 5] Operation: 12-7=5
Exploring Operation: 72-12=60, Resulting Numbers: [7, 60]
Generated Node #0,0,4: 25:[7, 60] Operation: 72-12=60
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[7, 6], Operations: ['90-18=72', '72/12=6']
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,25 unequal: No Solution
Exploring Operation: 7+6=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 7*6=42, Resulting Numbers: [42]
42,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 25:[7, 60], Operations: ['90-18=72', '72-12=60']
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[12, 65], Operations: ['90-18=72', '72-7=65']
Exploring Operation: 12*65=780, Resulting Numbers: [780]
780,25 unequal: No Solution
Exploring Operation: 65-12=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 12+65=77, Resulting Numbers: [77]
77,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[72, 5], Operations: ['90-18=72', '12-7=5']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 72*5=360, Resulting Numbers: [360]
360,25 unequal: No Solution
Exploring Operation: 72+5=77, Resulting Numbers: [77]
77,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[72, 19], Operations: ['90-18=72', '12+7=19']
Exploring Operation: 72-19=53, Resulting Numbers: [53]
53,25 unequal: No Solution
Exploring Operation: 72*19=1368, Resulting Numbers: [1368]
1368,25 unequal: No Solution
Exploring Operation: 72+19=91, Resulting Numbers: [91]
91,25 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: 25:[18, 7, 78], Operations: ['90-12=78']
Exploring Operation: 18+7=25, Resulting Numbers: [78, 25]
Generated Node #0,2,0: 25:[78, 25] Operation: 18+7=25
Exploring Operation: 18-7=11, Resulting Numbers: [78, 11]
Generated Node #0,2,1: 25:[78, 11] Operation: 18-7=11
Exploring Operation: 7+78=85, Resulting Numbers: [18, 85]
Generated Node #0,2,2: 25:[18, 85] Operation: 7+78=85
Exploring Operation: 78-7=71, Resulting Numbers: [18, 71]
Generated Node #0,2,3: 25:[18, 71] Operation: 78-7=71
Exploring Operation: 78-18=60, Resulting Numbers: [7, 60]
Generated Node #0,2,4: 25:[7, 60] Operation: 78-18=60
Moving to Node #0,1
Current State: 25:[90, 7, 6], Operations: ['18-12=6']
Exploring Operation: 90/6=15, Resulting Numbers: [7, 15]
Generated Node #0,1,0: 25:[7, 15] Operation: 90/6=15
Exploring Operation: 90+7=97, Resulting Numbers: [6, 97]
Generated Node #0,1,1: 25:[6, 97] Operation: 90+7=97
Exploring Operation: 7-6=1, Resulting Numbers: [90, 1]
Generated Node #0,1,2: 25:[90, 1] Operation: 7-6=1
Exploring Operation: 90-6=84, Resulting Numbers: [7, 84]
Generated Node #0,1,3: 25:[7, 84] Operation: 90-6=84
Exploring Operation: 90-7=83, Resulting Numbers: [6, 83]
Generated Node #0,1,4: 25:[6, 83] Operation: 90-7=83
Moving to Node #0,4
Current State: 25:[90, 7, 30], Operations: ['18+12=30']
Exploring Operation: 90-30=60, Resulting Numbers: [7, 60]
Generated Node #0,4,0: 25:[7, 60] Operation: 90-30=60
Exploring Operation: 90-7=83, Resulting Numbers: [30, 83]
Generated Node #0,4,1: 25:[30, 83] Operation: 90-7=83
Exploring Operation: 90/30=3, Resulting Numbers: [7, 3]
Generated Node #0,4,2: 25:[7, 3] Operation: 90/30=3
Exploring Operation: 90+7=97, Resulting Numbers: [30, 97]
Generated Node #0,4,3: 25:[30, 97] Operation: 90+7=97
Exploring Operation: 30-7=23, Resulting Numbers: [90, 23]
Generated Node #0,4,4: 25:[90, 23] Operation: 30-7=23
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 25:[7, 3], Operations: ['18+12=30', '90/30=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,25 unequal: No Solution
Exploring Operation: 7-3=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Exploring Operation: 7*3=21, Resulting Numbers: [21]
21,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 25:[7, 60], Operations: ['18+12=30', '90-30=60']
Exploring Operation: 7*60=420, Resulting Numbers: [420]
420,25 unequal: No Solution
Exploring Operation: 7+60=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 60-7=53, Resulting Numbers: [53]
53,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 25:[30, 83], Operations: ['18+12=30', '90-7=83']
Exploring Operation: 30+83=113, Resulting Numbers: [113]
113,25 unequal: No Solution
Exploring Operation: 30*83=2490, Resulting Numbers: [2490]
2490,25 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 25:[90, 23], Operations: ['18+12=30', '30-7=23']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 90+23=113, Resulting Numbers: [113]
113,25 unequal: No Solution
Exploring Operation: 90*23=2070, Resulting Numbers: [2070]
2070,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 25:[30, 97], Operations: ['18+12=30', '90+7=97']
Exploring Operation: 97-30=67, Resulting Numbers: [67]
67,25 unequal: No Solution
Exploring Operation: 30*97=2910, Resulting Numbers: [2910]
2910,25 unequal: No Solution
Exploring Operation: 30+97=127, Resulting Numbers: [127]
127,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3,3
Current State: 25:[5, 5], Operations: ['90/18=5', '12-7=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[18, 90, 12, 7], Operations: []
Exploring Operation: 90/18=5, Resulting Numbers: [12, 7, 5]
Generated Node #0,3: 25:[12, 7, 5] Operation: 90/18=5
Moving to Node #0,3
Current State: 25:[12, 7, 5], Operations: ['90/18=5']
Exploring Operation: 12-7=5, Resulting Numbers: [5, 5]
Generated Node #0,3,3: 25:[5, 5] Operation: 12-7=5
Moving to Node #0,3,3
Current State: 25:[5, 5], Operations: ['90/18=5', '12-7=5']
Exploring Operation: 5*5=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.943576 | hs_5 | sum_heuristic |
[
24,
30,
57,
68
] | 16 | [
"68-30=38",
"24*38=912",
"912/57=16"
] | Current State: 16:[24, 30, 57, 68], Operations: []
Exploring Operation: 68-30=38, Resulting Numbers: [24, 57, 38]
Generated Node #2: [24, 57, 38] from Operation: 68-30=38
Current State: 16:[24, 57, 38], Operations: ['68-30=38']
Exploring Operation: 24*38=912, Resulting Numbers: [57, 912]
Generated Node #3: [57, 912] from Operation: 24*38=912
Current State: 16:[57, 912], Operations: ['68-30=38', '24*38=912']
Exploring Operation: 912/57=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[24, 30, 57, 68], Operations: []
Exploring Operation: 68-57=11, Resulting Numbers: [24, 30, 11]
Generated Node #0,0: 16:[24, 30, 11] Operation: 68-57=11
Exploring Operation: 57-30=27, Resulting Numbers: [24, 68, 27]
Generated Node #0,1: 16:[24, 68, 27] Operation: 57-30=27
Moving to Node #0,0
Current State: 16:[24, 30, 11], Operations: ['68-57=11']
Exploring Operation: 30-11=19, Resulting Numbers: [24, 19]
Generated Node #0,0,0: 16:[24, 19] Operation: 30-11=19
Exploring Operation: 30-24=6, Resulting Numbers: [11, 6]
Generated Node #0,0,1: 16:[11, 6] Operation: 30-24=6
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 16:[11, 6], Operations: ['68-57=11', '30-24=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,16 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 16:[24, 19], Operations: ['68-57=11', '30-11=19']
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,16 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,16 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: 16:[24, 68, 27], Operations: ['57-30=27']
Exploring Operation: 68-24=44, Resulting Numbers: [27, 44]
Generated Node #0,1,0: 16:[27, 44] Operation: 68-24=44
Exploring Operation: 68-27=41, Resulting Numbers: [24, 41]
Generated Node #0,1,1: 16:[24, 41] Operation: 68-27=41
Moving to Node #0,1,1
Current State: 16:[24, 41], Operations: ['57-30=27', '68-27=41']
Exploring Operation: 24+41=65, Resulting Numbers: [65]
65,16 unequal: No Solution
Exploring Operation: 41-24=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Moving to Node #0,1,0
Current State: 16:[27, 44], Operations: ['57-30=27', '68-24=44']
Exploring Operation: 44-27=17, Resulting Numbers: [17]
17,16 unequal: No Solution
Exploring Operation: 27+44=71, Resulting Numbers: [71]
71,16 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
61,
6,
70,
7
] | 77 | [
"61+6=67",
"70/7=10",
"67+10=77"
] | Current State: 77:[61, 6, 70, 7], Operations: []
Exploring Operation: 61+6=67, Resulting Numbers: [70, 7, 67]
Generated Node #2: [70, 7, 67] from Operation: 61+6=67
Current State: 77:[70, 7, 67], Operations: ['61+6=67']
Exploring Operation: 70/7=10, Resulting Numbers: [67, 10]
Generated Node #3: [67, 10] from Operation: 70/7=10
Current State: 77:[67, 10], Operations: ['61+6=67', '70/7=10']
Exploring Operation: 67+10=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 | Current State: 77:[61, 6, 70, 7], Operations: []
Exploring Operation: 70-61=9, Resulting Numbers: [6, 7, 9]
Generated Node #0,0: 77:[6, 7, 9] Operation: 70-61=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 77:[6, 7, 9], Operations: ['70-61=9']
Exploring Operation: 6+7=13, Resulting Numbers: [9, 13]
Generated Node #0,0,0: 77:[9, 13] Operation: 6+7=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 77:[9, 13], Operations: ['70-61=9', '6+7=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,77 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
48,
31,
8,
7
] | 39 | [
"48-31=17",
"8*7=56",
"56-17=39"
] | Current State: 39:[48, 31, 8, 7], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [8, 7, 17]
Generated Node #2: [8, 7, 17] from Operation: 48-31=17
Current State: 39:[8, 7, 17], Operations: ['48-31=17']
Exploring Operation: 8*7=56, Resulting Numbers: [17, 56]
Generated Node #3: [17, 56] from Operation: 8*7=56
Current State: 39:[17, 56], Operations: ['48-31=17', '8*7=56']
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 | Current State: 39:[48, 31, 8, 7], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [8, 7, 17]
Generated Node #0,0: 39:[8, 7, 17] Operation: 48-31=17
Moving to Node #0,0
Current State: 39:[8, 7, 17], Operations: ['48-31=17']
Exploring Operation: 8+7=15, Resulting Numbers: [17, 15]
Generated Node #0,0,0: 39:[17, 15] Operation: 8+7=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 39:[17, 15], Operations: ['48-31=17', '8+7=15']
Exploring Operation: 17-15=2, Resulting Numbers: [2]
2,39 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 |
[
43,
57,
79,
55
] | 34 | [
"43+57=100",
"79+55=134",
"134-100=34"
] | Current State: 34:[43, 57, 79, 55], Operations: []
Exploring Operation: 43+57=100, Resulting Numbers: [79, 55, 100]
Generated Node #2: [79, 55, 100] from Operation: 43+57=100
Current State: 34:[79, 55, 100], Operations: ['43+57=100']
Exploring Operation: 79+55=134, Resulting Numbers: [100, 134]
Generated Node #3: [100, 134] from Operation: 79+55=134
Current State: 34:[100, 134], Operations: ['43+57=100', '79+55=134']
Exploring Operation: 134-100=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[43, 57, 79, 55], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [43, 79, 2]
Generated Node #0,0: 34:[43, 79, 2] Operation: 57-55=2
Exploring Operation: 79-57=22, Resulting Numbers: [43, 55, 22]
Generated Node #0,1: 34:[43, 55, 22] Operation: 79-57=22
Exploring Operation: 79-43=36, Resulting Numbers: [57, 55, 36]
Generated Node #0,2: 34:[57, 55, 36] Operation: 79-43=36
Exploring Operation: 79-55=24, Resulting Numbers: [43, 57, 24]
Generated Node #0,3: 34:[43, 57, 24] Operation: 79-55=24
Moving to Node #0,1
Current State: 34:[43, 55, 22], Operations: ['79-57=22']
Exploring Operation: 55-43=12, Resulting Numbers: [22, 12]
Generated Node #0,1,0: 34:[22, 12] Operation: 55-43=12
Exploring Operation: 43+22=65, Resulting Numbers: [55, 65]
Generated Node #0,1,1: 34:[55, 65] Operation: 43+22=65
Exploring Operation: 55-22=33, Resulting Numbers: [43, 33]
Generated Node #0,1,2: 34:[43, 33] Operation: 55-22=33
Exploring Operation: 43-22=21, Resulting Numbers: [55, 21]
Generated Node #0,1,3: 34:[55, 21] Operation: 43-22=21
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[22, 12], Operations: ['79-57=22', '55-43=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,34 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,34 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[43, 57, 79, 55], Operations: []
Exploring Operation: 79-57=22, Resulting Numbers: [43, 55, 22]
Generated Node #0,1: 34:[43, 55, 22] Operation: 79-57=22
Moving to Node #0,1
Current State: 34:[43, 55, 22], Operations: ['79-57=22']
Exploring Operation: 55-43=12, Resulting Numbers: [22, 12]
Generated Node #0,1,0: 34:[22, 12] Operation: 55-43=12
Moving to Node #0,1,0
Current State: 34:[22, 12], Operations: ['79-57=22', '55-43=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | mult_heuristic |
[
93,
59,
93,
28
] | 32 | [
"93/93=1",
"59-28=31",
"1+31=32"
] | Current State: 32:[93, 59, 93, 28], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [59, 28, 1]
Generated Node #2: [59, 28, 1] from Operation: 93/93=1
Current State: 32:[59, 28, 1], Operations: ['93/93=1']
Exploring Operation: 59-28=31, Resulting Numbers: [1, 31]
Generated Node #3: [1, 31] from Operation: 59-28=31
Current State: 32:[1, 31], Operations: ['93/93=1', '59-28=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[93, 59, 93, 28], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [59, 28, 1]
Generated Node #0,0: 32:[59, 28, 1] Operation: 93/93=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[59, 28, 1], Operations: ['93/93=1']
Exploring Operation: 59-28=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 32:[1, 31] Operation: 59-28=31
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 32:[1, 31], Operations: ['93/93=1', '59-28=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[93, 59, 93, 28], Operations: []
Exploring Operation: 93/93=1, Resulting Numbers: [59, 28, 1]
Generated Node #0,0: 32:[59, 28, 1] Operation: 93/93=1
Moving to Node #0,0
Current State: 32:[59, 28, 1], Operations: ['93/93=1']
Exploring Operation: 59-28=31, Resulting Numbers: [1, 31]
Generated Node #0,0,0: 32:[1, 31] Operation: 59-28=31
Moving to Node #0,0,0
Current State: 32:[1, 31], Operations: ['93/93=1', '59-28=31']
Exploring Operation: 1+31=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
7,
53,
99,
81
] | 79 | [
"7+99=106",
"106/53=2",
"81-2=79"
] | Current State: 79:[7, 53, 99, 81], Operations: []
Exploring Operation: 7+99=106, Resulting Numbers: [53, 81, 106]
Generated Node #2: [53, 81, 106] from Operation: 7+99=106
Current State: 79:[53, 81, 106], Operations: ['7+99=106']
Exploring Operation: 106/53=2, Resulting Numbers: [81, 2]
Generated Node #3: [81, 2] from Operation: 106/53=2
Current State: 79:[81, 2], Operations: ['7+99=106', '106/53=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[7, 53, 99, 81], Operations: []
Exploring Operation: 53-7=46, Resulting Numbers: [99, 81, 46]
Generated Node #0,0: 79:[99, 81, 46] Operation: 53-7=46
Exploring Operation: 99-7=92, Resulting Numbers: [53, 81, 92]
Generated Node #0,1: 79:[53, 81, 92] Operation: 99-7=92
Exploring Operation: 7+53=60, Resulting Numbers: [99, 81, 60]
Generated Node #0,2: 79:[99, 81, 60] Operation: 7+53=60
Exploring Operation: 7+99=106, Resulting Numbers: [53, 81, 106]
Generated Node #0,3: 79:[53, 81, 106] Operation: 7+99=106
Exploring Operation: 81-7=74, Resulting Numbers: [53, 99, 74]
Generated Node #0,4: 79:[53, 99, 74] Operation: 81-7=74
Start Sub Search at level 1: Moving to Node #0,1
Current State: 79:[53, 81, 92], Operations: ['99-7=92']
Exploring Operation: 53+81=134, Resulting Numbers: [92, 134]
Generated Node #0,1,0: 79:[92, 134] Operation: 53+81=134
Exploring Operation: 92-53=39, Resulting Numbers: [81, 39]
Generated Node #0,1,1: 79:[81, 39] Operation: 92-53=39
Exploring Operation: 53+92=145, Resulting Numbers: [81, 145]
Generated Node #0,1,2: 79:[81, 145] Operation: 53+92=145
Exploring Operation: 81-53=28, Resulting Numbers: [92, 28]
Generated Node #0,1,3: 79:[92, 28] Operation: 81-53=28
Exploring Operation: 92-81=11, Resulting Numbers: [53, 11]
Generated Node #0,1,4: 79:[53, 11] Operation: 92-81=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 79:[81, 39], Operations: ['99-7=92', '92-53=39']
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,79 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 79:[92, 28], Operations: ['99-7=92', '81-53=28']
Exploring Operation: 92*28=2576, Resulting Numbers: [2576]
2576,79 unequal: No Solution
Exploring Operation: 92-28=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 92+28=120, Resulting Numbers: [120]
120,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 79:[92, 134], Operations: ['99-7=92', '53+81=134']
Exploring Operation: 92+134=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 134-92=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 92*134=12328, Resulting Numbers: [12328]
12328,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 79:[81, 145], Operations: ['99-7=92', '53+92=145']
Exploring Operation: 81*145=11745, Resulting Numbers: [11745]
11745,79 unequal: No Solution
Exploring Operation: 81+145=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 145-81=64, Resulting Numbers: [64]
64,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 79:[53, 11], Operations: ['99-7=92', '92-81=11']
Exploring Operation: 53-11=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 53*11=583, Resulting Numbers: [583]
583,79 unequal: No Solution
Exploring Operation: 53+11=64, Resulting Numbers: [64]
64,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 79:[99, 81, 60], Operations: ['7+53=60']
Exploring Operation: 99-81=18, Resulting Numbers: [60, 18]
Generated Node #0,2,0: 79:[60, 18] Operation: 99-81=18
Exploring Operation: 81+60=141, Resulting Numbers: [99, 141]
Generated Node #0,2,1: 79:[99, 141] Operation: 81+60=141
Exploring Operation: 99-60=39, Resulting Numbers: [81, 39]
Generated Node #0,2,2: 79:[81, 39] Operation: 99-60=39
Exploring Operation: 81-60=21, Resulting Numbers: [99, 21]
Generated Node #0,2,3: 79:[99, 21] Operation: 81-60=21
Exploring Operation: 99+60=159, Resulting Numbers: [81, 159]
Generated Node #0,2,4: 79:[81, 159] Operation: 99+60=159
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 79:[81, 39], Operations: ['7+53=60', '99-60=39']
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,79 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 79:[99, 21], Operations: ['7+53=60', '81-60=21']
Exploring Operation: 99*21=2079, Resulting Numbers: [2079]
2079,79 unequal: No Solution
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 99+21=120, Resulting Numbers: [120]
120,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 79:[60, 18], Operations: ['7+53=60', '99-81=18']
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 60+18=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 60*18=1080, Resulting Numbers: [1080]
1080,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 79:[99, 141], Operations: ['7+53=60', '81+60=141']
Exploring Operation: 99+141=240, Resulting Numbers: [240]
240,79 unequal: No Solution
Exploring Operation: 141-99=42, Resulting Numbers: [42]
42,79 unequal: No Solution
Exploring Operation: 99*141=13959, Resulting Numbers: [13959]
13959,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 79:[81, 159], Operations: ['7+53=60', '99+60=159']
Exploring Operation: 81*159=12879, Resulting Numbers: [12879]
12879,79 unequal: No Solution
Exploring Operation: 159-81=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 81+159=240, Resulting Numbers: [240]
240,79 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 79:[53, 99, 74], Operations: ['81-7=74']
Exploring Operation: 99-53=46, Resulting Numbers: [74, 46]
Generated Node #0,4,0: 79:[74, 46] Operation: 99-53=46
Exploring Operation: 53+99=152, Resulting Numbers: [74, 152]
Generated Node #0,4,1: 79:[74, 152] Operation: 53+99=152
Exploring Operation: 74-53=21, Resulting Numbers: [99, 21]
Generated Node #0,4,2: 79:[99, 21] Operation: 74-53=21
Exploring Operation: 99-74=25, Resulting Numbers: [53, 25]
Generated Node #0,4,3: 79:[53, 25] Operation: 99-74=25
Exploring Operation: 53+74=127, Resulting Numbers: [99, 127]
Generated Node #0,4,4: 79:[99, 127] Operation: 53+74=127
Moving to Node #0,4,0
Current State: 79:[74, 46], Operations: ['81-7=74', '99-53=46']
Exploring Operation: 74-46=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 74+46=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Exploring Operation: 74*46=3404, Resulting Numbers: [3404]
3404,79 unequal: No Solution
Moving to Node #0,4,4
Current State: 79:[99, 127], Operations: ['81-7=74', '53+74=127']
Exploring Operation: 127-99=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 99*127=12573, Resulting Numbers: [12573]
12573,79 unequal: No Solution
Exploring Operation: 99+127=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Moving to Node #0,4,1
Current State: 79:[74, 152], Operations: ['81-7=74', '53+99=152']
Exploring Operation: 74+152=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 152-74=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 74*152=11248, Resulting Numbers: [11248]
11248,79 unequal: No Solution
Moving to Node #0,4,2
Current State: 79:[99, 21], Operations: ['81-7=74', '74-53=21']
Exploring Operation: 99-21=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 99*21=2079, Resulting Numbers: [2079]
2079,79 unequal: No Solution
Exploring Operation: 99+21=120, Resulting Numbers: [120]
120,79 unequal: No Solution
Moving to Node #0,4,3
Current State: 79:[53, 25], Operations: ['81-7=74', '99-74=25']
Exploring Operation: 53*25=1325, Resulting Numbers: [1325]
1325,79 unequal: No Solution
Exploring Operation: 53+25=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 79:[99, 81, 46], Operations: ['53-7=46']
Exploring Operation: 81-46=35, Resulting Numbers: [99, 35]
Generated Node #0,0,0: 79:[99, 35] Operation: 81-46=35
Exploring Operation: 99+46=145, Resulting Numbers: [81, 145]
Generated Node #0,0,1: 79:[81, 145] Operation: 99+46=145
Exploring Operation: 99-81=18, Resulting Numbers: [46, 18]
Generated Node #0,0,2: 79:[46, 18] Operation: 99-81=18
Exploring Operation: 99-46=53, Resulting Numbers: [81, 53]
Generated Node #0,0,3: 79:[81, 53] Operation: 99-46=53
Exploring Operation: 81+46=127, Resulting Numbers: [99, 127]
Generated Node #0,0,4: 79:[99, 127] Operation: 81+46=127
Moving to Node #0,0,3
Current State: 79:[81, 53], Operations: ['53-7=46', '99-46=53']
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[99, 35], Operations: ['53-7=46', '81-46=35']
Exploring Operation: 99*35=3465, Resulting Numbers: [3465]
3465,79 unequal: No Solution
Exploring Operation: 99-35=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 99+35=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[81, 145], Operations: ['53-7=46', '99+46=145']
Exploring Operation: 81+145=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Exploring Operation: 145-81=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 81*145=11745, Resulting Numbers: [11745]
11745,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[99, 127], Operations: ['53-7=46', '81+46=127']
Exploring Operation: 99*127=12573, Resulting Numbers: [12573]
12573,79 unequal: No Solution
Exploring Operation: 127-99=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 99+127=226, Resulting Numbers: [226]
226,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[46, 18], Operations: ['53-7=46', '99-81=18']
Exploring Operation: 46*18=828, Resulting Numbers: [828]
828,79 unequal: No Solution
Exploring Operation: 46+18=64, Resulting Numbers: [64]
64,79 unequal: No Solution
Exploring Operation: 46-18=28, Resulting Numbers: [28]
28,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 79:[53, 81, 106], Operations: ['7+99=106']
Exploring Operation: 81-53=28, Resulting Numbers: [106, 28]
Generated Node #0,3,0: 79:[106, 28] Operation: 81-53=28
Exploring Operation: 53+81=134, Resulting Numbers: [106, 134]
Generated Node #0,3,1: 79:[106, 134] Operation: 53+81=134
Exploring Operation: 106/53=2, Resulting Numbers: [81, 2]
Generated Node #0,3,2: 79:[81, 2] Operation: 106/53=2
Exploring Operation: 106-53=53, Resulting Numbers: [81, 53]
Generated Node #0,3,3: 79:[81, 53] Operation: 106-53=53
Exploring Operation: 106-81=25, Resulting Numbers: [53, 25]
Generated Node #0,3,4: 79:[53, 25] Operation: 106-81=25
Moving to Node #0,3,3
Current State: 79:[81, 53], Operations: ['7+99=106', '106-53=53']
Exploring Operation: 81+53=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Exploring Operation: 81-53=28, Resulting Numbers: [28]
28,79 unequal: No Solution
Exploring Operation: 81*53=4293, Resulting Numbers: [4293]
4293,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[106, 28], Operations: ['7+99=106', '81-53=28']
Exploring Operation: 106-28=78, Resulting Numbers: [78]
78,79 unequal: No Solution
Exploring Operation: 106*28=2968, Resulting Numbers: [2968]
2968,79 unequal: No Solution
Exploring Operation: 106+28=134, Resulting Numbers: [134]
134,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[81, 2], Operations: ['7+99=106', '106/53=2']
Exploring Operation: 81+2=83, Resulting Numbers: [83]
83,79 unequal: No Solution
Exploring Operation: 81*2=162, Resulting Numbers: [162]
162,79 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Moving to Node #0
Current State: 79:[7, 53, 99, 81], Operations: []
Exploring Operation: 7+99=106, Resulting Numbers: [53, 81, 106]
Generated Node #0,3: 79:[53, 81, 106] Operation: 7+99=106
Moving to Node #0,3
Current State: 79:[53, 81, 106], Operations: ['7+99=106']
Exploring Operation: 106/53=2, Resulting Numbers: [81, 2]
Generated Node #0,3,2: 79:[81, 2] Operation: 106/53=2
Moving to Node #0,3,2
Current State: 79:[81, 2], Operations: ['7+99=106', '106/53=2']
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
Exit Sub Search at level 1
| 0.91059 | hs_5 | sum_heuristic |
[
2,
76,
47,
66
] | 38 | [
"66-47=19",
"2*19=38",
"76-38=38"
] | Current State: 38:[2, 76, 47, 66], Operations: []
Exploring Operation: 66-47=19, Resulting Numbers: [2, 76, 19]
Generated Node #2: [2, 76, 19] from Operation: 66-47=19
Current State: 38:[2, 76, 19], Operations: ['66-47=19']
Exploring Operation: 2*19=38, Resulting Numbers: [76, 38]
Generated Node #3: [76, 38] from Operation: 2*19=38
Current State: 38:[76, 38], Operations: ['66-47=19', '2*19=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[2, 76, 47, 66], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [2, 47, 10]
Generated Node #0,0: 38:[2, 47, 10] Operation: 76-66=10
Moving to Node #0,0
Current State: 38:[2, 47, 10], Operations: ['76-66=10']
Exploring Operation: 47-10=37, Resulting Numbers: [2, 37]
Generated Node #0,0,0: 38:[2, 37] Operation: 47-10=37
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[2, 37], Operations: ['76-66=10', '47-10=37']
Exploring Operation: 2+37=39, Resulting Numbers: [39]
39,38 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 |
[
14,
54,
82,
82
] | 54 | [
"82-82=0",
"14*0=0",
"54+0=54"
] | Current State: 54:[14, 54, 82, 82], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [14, 54, 0]
Generated Node #2: [14, 54, 0] from Operation: 82-82=0
Current State: 54:[14, 54, 0], Operations: ['82-82=0']
Exploring Operation: 14*0=0, Resulting Numbers: [54, 0]
Generated Node #3: [54, 0] from Operation: 14*0=0
Current State: 54:[54, 0], Operations: ['82-82=0', '14*0=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[14, 54, 82, 82], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [14, 54, 0]
Generated Node #0,0: 54:[14, 54, 0] Operation: 82-82=0
Exploring Operation: 82-54=28, Resulting Numbers: [14, 82, 28]
Generated Node #0,1: 54:[14, 82, 28] Operation: 82-54=28
Exploring Operation: 82/82=1, Resulting Numbers: [14, 54, 1]
Generated Node #0,2: 54:[14, 54, 1] Operation: 82/82=1
Moving to Node #0,2
Current State: 54:[14, 54, 1], Operations: ['82/82=1']
Exploring Operation: 14*1=14, Resulting Numbers: [54, 14]
Generated Node #0,2,0: 54:[54, 14] Operation: 14*1=14
Exploring Operation: 14+1=15, Resulting Numbers: [54, 15]
Generated Node #0,2,1: 54:[54, 15] Operation: 14+1=15
Exploring Operation: 14-1=13, Resulting Numbers: [54, 13]
Generated Node #0,2,2: 54:[54, 13] Operation: 14-1=13
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 54:[54, 15], Operations: ['82/82=1', '14+1=15']
Exploring Operation: 54-15=39, Resulting Numbers: [39]
39,54 unequal: No Solution
Exploring Operation: 54*15=810, Resulting Numbers: [810]
810,54 unequal: No Solution
Exploring Operation: 54+15=69, Resulting Numbers: [69]
69,54 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 #0,2,0
Current State: 54:[54, 14], Operations: ['82/82=1', '14*1=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,54 unequal: No Solution
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,54 unequal: No Solution
Exploring Operation: 54*14=756, Resulting Numbers: [756]
756,54 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 #0,2,2
Current State: 54:[54, 13], Operations: ['82/82=1', '14-1=13']
Exploring Operation: 54*13=702, Resulting Numbers: [702]
702,54 unequal: No Solution
Exploring Operation: 54+13=67, Resulting Numbers: [67]
67,54 unequal: No Solution
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,54 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: 54:[14, 54, 0], Operations: ['82-82=0']
Exploring Operation: 14-0=14, Resulting Numbers: [54, 14]
Generated Node #0,0,0: 54:[54, 14] Operation: 14-0=14
Exploring Operation: 14*0=0, Resulting Numbers: [54, 0]
Generated Node #0,0,1: 54:[54, 0] Operation: 14*0=0
Exploring Operation: 14+0=14, Resulting Numbers: [54, 14]
Generated Node #0,0,2: 54:[54, 14] Operation: 14+0=14
Moving to Node #0,1
Current State: 54:[14, 82, 28], Operations: ['82-54=28']
Exploring Operation: 82-28=54, Resulting Numbers: [14, 54]
Generated Node #0,1,0: 54:[14, 54] Operation: 82-28=54
Exploring Operation: 82-14=68, Resulting Numbers: [28, 68]
Generated Node #0,1,1: 54:[28, 68] Operation: 82-14=68
Exploring Operation: 28/14=2, Resulting Numbers: [82, 2]
Generated Node #0,1,2: 54:[82, 2] Operation: 28/14=2
Moving to Node #0,0,1
Current State: 54:[54, 0], Operations: ['82-82=0', '14*0=0']
Exploring Operation: 54*0=0, Resulting Numbers: [0]
0,54 unequal: No Solution
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[14, 54, 82, 82], Operations: []
Exploring Operation: 82-82=0, Resulting Numbers: [14, 54, 0]
Generated Node #0,0: 54:[14, 54, 0] Operation: 82-82=0
Moving to Node #0,0
Current State: 54:[14, 54, 0], Operations: ['82-82=0']
Exploring Operation: 14*0=0, Resulting Numbers: [54, 0]
Generated Node #0,0,1: 54:[54, 0] Operation: 14*0=0
Moving to Node #0,0,1
Current State: 54:[54, 0], Operations: ['82-82=0', '14*0=0']
Exploring Operation: 54+0=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 0.976563 | hs_3 | sum_heuristic |
[
42,
84,
24,
42
] | 26 | [
"42*24=1008",
"84+1008=1092",
"1092/42=26"
] | Current State: 26:[42, 84, 24, 42], Operations: []
Exploring Operation: 42*24=1008, Resulting Numbers: [84, 1008]
Generated Node #2: [84, 1008] from Operation: 42*24=1008
Current State: 26:[84, 1008], Operations: ['42*24=1008']
Exploring Operation: 84+1008=1092, Resulting Numbers: [1092]
1092,26 equal: Goal Reached
Exploring Operation: 1092/42=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 | Current State: 26:[42, 84, 24, 42], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [24, 42, 2]
Generated Node #0,0: 26:[24, 42, 2] Operation: 84/42=2
Exploring Operation: 84/42=2, Resulting Numbers: [42, 24, 2]
Generated Node #0,1: 26:[42, 24, 2] Operation: 84/42=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 26:[24, 42, 2], Operations: ['84/42=2']
Exploring Operation: 42/2=21, Resulting Numbers: [24, 21]
Generated Node #0,0,0: 26:[24, 21] Operation: 42/2=21
Exploring Operation: 42-24=18, Resulting Numbers: [2, 18]
Generated Node #0,0,1: 26:[2, 18] Operation: 42-24=18
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 26:[2, 18], Operations: ['84/42=2', '42-24=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
No 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: 26:[24, 21], Operations: ['84/42=2', '42/2=21']
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,26 unequal: No Solution
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,26 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: 26:[42, 24, 2], Operations: ['84/42=2']
Exploring Operation: 42/2=21, Resulting Numbers: [24, 21]
Generated Node #0,1,0: 26:[24, 21] Operation: 42/2=21
Exploring Operation: 42-24=18, Resulting Numbers: [2, 18]
Generated Node #0,1,1: 26:[2, 18] Operation: 42-24=18
Moving to Node #0,1,1
Current State: 26:[2, 18], Operations: ['84/42=2', '42-24=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,26 unequal: No Solution
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,26 unequal: No Solution
Moving to Node #0,1,0
Current State: 26:[24, 21], Operations: ['84/42=2', '42/2=21']
Exploring Operation: 24-21=3, Resulting Numbers: [3]
3,26 unequal: No Solution
Exploring Operation: 24+21=45, Resulting Numbers: [45]
45,26 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
77,
17,
74,
93
] | 48 | [
"77-74=3",
"93/3=31",
"17+31=48"
] | Current State: 48:[77, 17, 74, 93], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [17, 93, 3]
Generated Node #2: [17, 93, 3] from Operation: 77-74=3
Current State: 48:[17, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93/3=31, Resulting Numbers: [17, 31]
Generated Node #3: [17, 31] from Operation: 93/3=31
Current State: 48:[17, 31], Operations: ['77-74=3', '93/3=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[77, 17, 74, 93], Operations: []
Exploring Operation: 93-74=19, Resulting Numbers: [77, 17, 19]
Generated Node #0,0: 48:[77, 17, 19] Operation: 93-74=19
Exploring Operation: 93-77=16, Resulting Numbers: [17, 74, 16]
Generated Node #0,1: 48:[17, 74, 16] Operation: 93-77=16
Exploring Operation: 77-17=60, Resulting Numbers: [74, 93, 60]
Generated Node #0,2: 48:[74, 93, 60] Operation: 77-17=60
Exploring Operation: 77-74=3, Resulting Numbers: [17, 93, 3]
Generated Node #0,3: 48:[17, 93, 3] Operation: 77-74=3
Exploring Operation: 74-17=57, Resulting Numbers: [77, 93, 57]
Generated Node #0,4: 48:[77, 93, 57] Operation: 74-17=57
Moving to Node #0,1
Current State: 48:[17, 74, 16], Operations: ['93-77=16']
Exploring Operation: 74-16=58, Resulting Numbers: [17, 58]
Generated Node #0,1,0: 48:[17, 58] Operation: 74-16=58
Exploring Operation: 17+16=33, Resulting Numbers: [74, 33]
Generated Node #0,1,1: 48:[74, 33] Operation: 17+16=33
Exploring Operation: 17-16=1, Resulting Numbers: [74, 1]
Generated Node #0,1,2: 48:[74, 1] Operation: 17-16=1
Exploring Operation: 17+74=91, Resulting Numbers: [16, 91]
Generated Node #0,1,3: 48:[16, 91] Operation: 17+74=91
Exploring Operation: 74-17=57, Resulting Numbers: [16, 57]
Generated Node #0,1,4: 48:[16, 57] Operation: 74-17=57
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 48:[16, 57], Operations: ['93-77=16', '74-17=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 16*57=912, Resulting Numbers: [912]
912,48 unequal: No Solution
Exploring Operation: 57-16=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 48:[17, 58], Operations: ['93-77=16', '74-16=58']
Exploring Operation: 17+58=75, Resulting Numbers: [75]
75,48 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 17*58=986, Resulting Numbers: [986]
986,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 48:[74, 1], Operations: ['93-77=16', '17-16=1']
Exploring Operation: 74/1=74, Resulting Numbers: [74]
74,48 unequal: No Solution
Exploring Operation: 74*1=74, Resulting Numbers: [74]
74,48 unequal: No Solution
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,48 unequal: No Solution
Exploring Operation: 74+1=75, Resulting Numbers: [75]
75,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 48:[74, 33], Operations: ['93-77=16', '17+16=33']
Exploring Operation: 74*33=2442, Resulting Numbers: [2442]
2442,48 unequal: No Solution
Exploring Operation: 74+33=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 48:[16, 91], Operations: ['93-77=16', '17+74=91']
Exploring Operation: 16+91=107, Resulting Numbers: [107]
107,48 unequal: No Solution
Exploring Operation: 91-16=75, Resulting Numbers: [75]
75,48 unequal: No Solution
Exploring Operation: 16*91=1456, Resulting Numbers: [1456]
1456,48 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: 48:[77, 17, 19], Operations: ['93-74=19']
Exploring Operation: 77-17=60, Resulting Numbers: [19, 60]
Generated Node #0,0,0: 48:[19, 60] Operation: 77-17=60
Exploring Operation: 77+17=94, Resulting Numbers: [19, 94]
Generated Node #0,0,1: 48:[19, 94] Operation: 77+17=94
Exploring Operation: 19-17=2, Resulting Numbers: [77, 2]
Generated Node #0,0,2: 48:[77, 2] Operation: 19-17=2
Exploring Operation: 17+19=36, Resulting Numbers: [77, 36]
Generated Node #0,0,3: 48:[77, 36] Operation: 17+19=36
Exploring Operation: 77-19=58, Resulting Numbers: [17, 58]
Generated Node #0,0,4: 48:[17, 58] Operation: 77-19=58
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 48:[17, 58], Operations: ['93-74=19', '77-19=58']
Exploring Operation: 17+58=75, Resulting Numbers: [75]
75,48 unequal: No Solution
Exploring Operation: 17*58=986, Resulting Numbers: [986]
986,48 unequal: No Solution
Exploring Operation: 58-17=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 48:[19, 60], Operations: ['93-74=19', '77-17=60']
Exploring Operation: 19+60=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 19*60=1140, Resulting Numbers: [1140]
1140,48 unequal: No Solution
Exploring Operation: 60-19=41, Resulting Numbers: [41]
41,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 48:[77, 2], Operations: ['93-74=19', '19-17=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,48 unequal: No Solution
Exploring Operation: 77+2=79, Resulting Numbers: [79]
79,48 unequal: No Solution
Exploring Operation: 77*2=154, Resulting Numbers: [154]
154,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 48:[77, 36], Operations: ['93-74=19', '17+19=36']
Exploring Operation: 77-36=41, Resulting Numbers: [41]
41,48 unequal: No Solution
Exploring Operation: 77+36=113, Resulting Numbers: [113]
113,48 unequal: No Solution
Exploring Operation: 77*36=2772, Resulting Numbers: [2772]
2772,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 48:[19, 94], Operations: ['93-74=19', '77+17=94']
Exploring Operation: 19*94=1786, Resulting Numbers: [1786]
1786,48 unequal: No Solution
Exploring Operation: 19+94=113, Resulting Numbers: [113]
113,48 unequal: No Solution
Exploring Operation: 94-19=75, Resulting Numbers: [75]
75,48 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: 48:[17, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93-3=90, Resulting Numbers: [17, 90]
Generated Node #0,3,0: 48:[17, 90] Operation: 93-3=90
Exploring Operation: 17*3=51, Resulting Numbers: [93, 51]
Generated Node #0,3,1: 48:[93, 51] Operation: 17*3=51
Exploring Operation: 93/3=31, Resulting Numbers: [17, 31]
Generated Node #0,3,2: 48:[17, 31] Operation: 93/3=31
Exploring Operation: 17-3=14, Resulting Numbers: [93, 14]
Generated Node #0,3,3: 48:[93, 14] Operation: 17-3=14
Exploring Operation: 93-17=76, Resulting Numbers: [3, 76]
Generated Node #0,3,4: 48:[3, 76] Operation: 93-17=76
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[17, 31], Operations: ['77-74=3', '93/3=31']
Exploring Operation: 17*31=527, Resulting Numbers: [527]
527,48 unequal: No Solution
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Moving to Node #0
Current State: 48:[77, 17, 74, 93], Operations: []
Exploring Operation: 77-74=3, Resulting Numbers: [17, 93, 3]
Generated Node #0,3: 48:[17, 93, 3] Operation: 77-74=3
Moving to Node #0,3
Current State: 48:[17, 93, 3], Operations: ['77-74=3']
Exploring Operation: 93/3=31, Resulting Numbers: [17, 31]
Generated Node #0,3,2: 48:[17, 31] Operation: 93/3=31
Moving to Node #0,3,2
Current State: 48:[17, 31], Operations: ['77-74=3', '93/3=31']
Exploring Operation: 17+31=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
Exit Sub Search at level 1
| 0.950521 | hs_5 | mult_heuristic |
[
23,
25,
24,
50
] | 62 | [
"25-23=2",
"24/2=12",
"50+12=62"
] | Current State: 62:[23, 25, 24, 50], Operations: []
Exploring Operation: 25-23=2, Resulting Numbers: [24, 50, 2]
Generated Node #2: [24, 50, 2] from Operation: 25-23=2
Current State: 62:[24, 50, 2], Operations: ['25-23=2']
Exploring Operation: 24/2=12, Resulting Numbers: [50, 12]
Generated Node #3: [50, 12] from Operation: 24/2=12
Current State: 62:[50, 12], Operations: ['25-23=2', '24/2=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 | Current State: 62:[23, 25, 24, 50], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [25, 24, 27]
Generated Node #0,0: 62:[25, 24, 27] Operation: 50-23=27
Exploring Operation: 50/25=2, Resulting Numbers: [23, 24, 2]
Generated Node #0,1: 62:[23, 24, 2] Operation: 50/25=2
Exploring Operation: 25-23=2, Resulting Numbers: [24, 50, 2]
Generated Node #0,2: 62:[24, 50, 2] Operation: 25-23=2
Exploring Operation: 24-23=1, Resulting Numbers: [25, 50, 1]
Generated Node #0,3: 62:[25, 50, 1] Operation: 24-23=1
Moving to Node #0,1
Current State: 62:[23, 24, 2], Operations: ['50/25=2']
Exploring Operation: 24-23=1, Resulting Numbers: [2, 1]
Generated Node #0,1,0: 62:[2, 1] Operation: 24-23=1
Exploring Operation: 23+2=25, Resulting Numbers: [24, 25]
Generated Node #0,1,1: 62:[24, 25] Operation: 23+2=25
Exploring Operation: 24+2=26, Resulting Numbers: [23, 26]
Generated Node #0,1,2: 62:[23, 26] Operation: 24+2=26
Exploring Operation: 23+24=47, Resulting Numbers: [2, 47]
Generated Node #0,1,3: 62:[2, 47] Operation: 23+24=47
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 62:[2, 1], Operations: ['50/25=2', '24-23=1']
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 62:[24, 25], Operations: ['50/25=2', '23+2=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,62 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 62:[23, 26], Operations: ['50/25=2', '24+2=26']
Exploring Operation: 23*26=598, Resulting Numbers: [598]
598,62 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 23+26=49, Resulting Numbers: [49]
49,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 62:[2, 47], Operations: ['50/25=2', '23+24=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,62 unequal: No Solution
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,62 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: 62:[25, 24, 27], Operations: ['50-23=27']
Exploring Operation: 25-24=1, Resulting Numbers: [27, 1]
Generated Node #0,0,0: 62:[27, 1] Operation: 25-24=1
Exploring Operation: 27-24=3, Resulting Numbers: [25, 3]
Generated Node #0,0,1: 62:[25, 3] Operation: 27-24=3
Exploring Operation: 27-25=2, Resulting Numbers: [24, 2]
Generated Node #0,0,2: 62:[24, 2] Operation: 27-25=2
Exploring Operation: 25+24=49, Resulting Numbers: [27, 49]
Generated Node #0,0,3: 62:[27, 49] Operation: 25+24=49
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 62:[27, 1], Operations: ['50-23=27', '25-24=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,62 unequal: No Solution
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 62:[25, 3], Operations: ['50-23=27', '27-24=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 62:[24, 2], Operations: ['50-23=27', '27-25=2']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,62 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,62 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 62:[27, 49], Operations: ['50-23=27', '25+24=49']
Exploring Operation: 49-27=22, Resulting Numbers: [22]
22,62 unequal: No Solution
Exploring Operation: 27+49=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 27*49=1323, Resulting Numbers: [1323]
1323,62 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: 62:[25, 50, 1], Operations: ['24-23=1']
Exploring Operation: 25+50=75, Resulting Numbers: [1, 75]
Generated Node #0,3,0: 62:[1, 75] Operation: 25+50=75
Exploring Operation: 25+1=26, Resulting Numbers: [50, 26]
Generated Node #0,3,1: 62:[50, 26] Operation: 25+1=26
Exploring Operation: 50-25=25, Resulting Numbers: [1, 25]
Generated Node #0,3,2: 62:[1, 25] Operation: 50-25=25
Exploring Operation: 50/25=2, Resulting Numbers: [1, 2]
Generated Node #0,3,3: 62:[1, 2] Operation: 50/25=2
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 62:[1, 2], Operations: ['24-23=1', '50/25=2']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,62 unequal: No Solution
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,62 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 62:[1, 25], Operations: ['24-23=1', '50-25=25']
Exploring Operation: 1+25=26, Resulting Numbers: [26]
26,62 unequal: No Solution
Exploring Operation: 25/1=25, Resulting Numbers: [25]
25,62 unequal: No Solution
Exploring Operation: 25-1=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 1*25=25, Resulting Numbers: [25]
25,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 62:[1, 75], Operations: ['24-23=1', '25+50=75']
Exploring Operation: 75-1=74, Resulting Numbers: [74]
74,62 unequal: No Solution
Exploring Operation: 1+75=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 1*75=75, Resulting Numbers: [75]
75,62 unequal: No Solution
Exploring Operation: 75/1=75, Resulting Numbers: [75]
75,62 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 62:[50, 26], Operations: ['24-23=1', '25+1=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,62 unequal: No Solution
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,62 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: 62:[24, 50, 2], Operations: ['25-23=2']
Exploring Operation: 24+2=26, Resulting Numbers: [50, 26]
Generated Node #0,2,0: 62:[50, 26] Operation: 24+2=26
Exploring Operation: 50/2=25, Resulting Numbers: [24, 25]
Generated Node #0,2,1: 62:[24, 25] Operation: 50/2=25
Exploring Operation: 50-24=26, Resulting Numbers: [2, 26]
Generated Node #0,2,2: 62:[2, 26] Operation: 50-24=26
Exploring Operation: 24+50=74, Resulting Numbers: [2, 74]
Generated Node #0,2,3: 62:[2, 74] Operation: 24+50=74
Moving to Node #0,2,2
Current State: 62:[2, 26], Operations: ['25-23=2', '50-24=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,62 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,62 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Moving to Node #0,2,3
Current State: 62:[2, 74], Operations: ['25-23=2', '24+50=74']
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,62 unequal: No Solution
Exploring Operation: 2*74=148, Resulting Numbers: [148]
148,62 unequal: No Solution
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,62 unequal: No Solution
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,62 unequal: No Solution
Moving to Node #0,2,1
Current State: 62:[24, 25], Operations: ['25-23=2', '50/2=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,62 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,62 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Moving to Node #0,2,0
Current State: 62:[50, 26], Operations: ['25-23=2', '24+2=26']
Exploring Operation: 50*26=1300, Resulting Numbers: [1300]
1300,62 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,62 unequal: No Solution
Exploring Operation: 50+26=76, Resulting Numbers: [76]
76,62 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
8,
68,
22,
11
] | 97 | [
"8*22=176",
"68+11=79",
"176-79=97"
] | Current State: 97:[8, 68, 22, 11], Operations: []
Exploring Operation: 8*22=176, Resulting Numbers: [68, 11, 176]
Generated Node #2: [68, 11, 176] from Operation: 8*22=176
Current State: 97:[68, 11, 176], Operations: ['8*22=176']
Exploring Operation: 68+11=79, Resulting Numbers: [176, 79]
Generated Node #3: [176, 79] from Operation: 68+11=79
Current State: 97:[176, 79], Operations: ['8*22=176', '68+11=79']
Exploring Operation: 176-79=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[8, 68, 22, 11], Operations: []
Exploring Operation: 8*11=88, Resulting Numbers: [68, 22, 88]
Generated Node #0,0: 97:[68, 22, 88] Operation: 8*11=88
Exploring Operation: 8+68=76, Resulting Numbers: [22, 11, 76]
Generated Node #0,1: 97:[22, 11, 76] Operation: 8+68=76
Start Sub Search at level 1: Moving to Node #0,0
Current State: 97:[68, 22, 88], Operations: ['8*11=88']
Exploring Operation: 68+22=90, Resulting Numbers: [88, 90]
Generated Node #0,0,0: 97:[88, 90] Operation: 68+22=90
Exploring Operation: 22+88=110, Resulting Numbers: [68, 110]
Generated Node #0,0,1: 97:[68, 110] Operation: 22+88=110
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 97:[88, 90], Operations: ['8*11=88', '68+22=90']
Exploring Operation: 90-88=2, Resulting Numbers: [2]
2,97 unequal: No Solution
Exploring Operation: 88+90=178, Resulting Numbers: [178]
178,97 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:[68, 110], Operations: ['8*11=88', '22+88=110']
Exploring Operation: 68+110=178, Resulting Numbers: [178]
178,97 unequal: No Solution
Exploring Operation: 110-68=42, Resulting Numbers: [42]
42,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 97:[22, 11, 76], Operations: ['8+68=76']
Exploring Operation: 22+11=33, Resulting Numbers: [76, 33]
Generated Node #0,1,0: 97:[76, 33] Operation: 22+11=33
Exploring Operation: 11+76=87, Resulting Numbers: [22, 87]
Generated Node #0,1,1: 97:[22, 87] Operation: 11+76=87
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 97:[76, 33], Operations: ['8+68=76', '22+11=33']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,97 unequal: No Solution
Exploring Operation: 76+33=109, Resulting Numbers: [109]
109,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 97:[22, 87], Operations: ['8+68=76', '11+76=87']
Exploring Operation: 22+87=109, Resulting Numbers: [109]
109,97 unequal: No Solution
Exploring Operation: 87-22=65, Resulting Numbers: [65]
65,97 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
17,
7,
95,
85
] | 14 | [
"17+7=24",
"95-85=10",
"24-10=14"
] | Current State: 14:[17, 7, 95, 85], Operations: []
Exploring Operation: 17+7=24, Resulting Numbers: [95, 85, 24]
Generated Node #2: [95, 85, 24] from Operation: 17+7=24
Current State: 14:[95, 85, 24], Operations: ['17+7=24']
Exploring Operation: 95-85=10, Resulting Numbers: [24, 10]
Generated Node #3: [24, 10] from Operation: 95-85=10
Current State: 14:[24, 10], Operations: ['17+7=24', '95-85=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[17, 7, 95, 85], Operations: []
Exploring Operation: 95-7=88, Resulting Numbers: [17, 85, 88]
Generated Node #0,0: 14:[17, 85, 88] Operation: 95-7=88
Exploring Operation: 95-85=10, Resulting Numbers: [17, 7, 10]
Generated Node #0,1: 14:[17, 7, 10] Operation: 95-85=10
Exploring Operation: 85/17=5, Resulting Numbers: [7, 95, 5]
Generated Node #0,2: 14:[7, 95, 5] Operation: 85/17=5
Exploring Operation: 95-17=78, Resulting Numbers: [7, 85, 78]
Generated Node #0,3: 14:[7, 85, 78] Operation: 95-17=78
Exploring Operation: 85-17=68, Resulting Numbers: [7, 95, 68]
Generated Node #0,4: 14:[7, 95, 68] Operation: 85-17=68
Moving to Node #0,1
Current State: 14:[17, 7, 10], Operations: ['95-85=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17, 17]
Generated Node #0,1,0: 14:[17, 17] Operation: 7+10=17
Exploring Operation: 17-10=7, Resulting Numbers: [7, 7]
Generated Node #0,1,1: 14:[7, 7] Operation: 17-10=7
Exploring Operation: 17-7=10, Resulting Numbers: [10, 10]
Generated Node #0,1,2: 14:[10, 10] Operation: 17-7=10
Exploring Operation: 17+7=24, Resulting Numbers: [10, 24]
Generated Node #0,1,3: 14:[10, 24] Operation: 17+7=24
Exploring Operation: 10-7=3, Resulting Numbers: [17, 3]
Generated Node #0,1,4: 14:[17, 3] Operation: 10-7=3
Moving to Node #0,2
Current State: 14:[7, 95, 5], Operations: ['85/17=5']
Exploring Operation: 7-5=2, Resulting Numbers: [95, 2]
Generated Node #0,2,0: 14:[95, 2] Operation: 7-5=2
Exploring Operation: 95/5=19, Resulting Numbers: [7, 19]
Generated Node #0,2,1: 14:[7, 19] Operation: 95/5=19
Exploring Operation: 95-7=88, Resulting Numbers: [5, 88]
Generated Node #0,2,2: 14:[5, 88] Operation: 95-7=88
Exploring Operation: 7+5=12, Resulting Numbers: [95, 12]
Generated Node #0,2,3: 14:[95, 12] Operation: 7+5=12
Exploring Operation: 95-5=90, Resulting Numbers: [7, 90]
Generated Node #0,2,4: 14:[7, 90] Operation: 95-5=90
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 14:[7, 19], Operations: ['85/17=5', '95/5=19']
Exploring Operation: 7*19=133, Resulting Numbers: [133]
133,14 unequal: No Solution
Exploring Operation: 7+19=26, Resulting Numbers: [26]
26,14 unequal: No Solution
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 14:[5, 88], Operations: ['85/17=5', '95-7=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,14 unequal: No Solution
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 14:[7, 90], Operations: ['85/17=5', '95-5=90']
Exploring Operation: 90-7=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 7*90=630, Resulting Numbers: [630]
630,14 unequal: No Solution
Exploring Operation: 7+90=97, Resulting Numbers: [97]
97,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[95, 2], Operations: ['85/17=5', '7-5=2']
Exploring Operation: 95+2=97, Resulting Numbers: [97]
97,14 unequal: No Solution
Exploring Operation: 95*2=190, Resulting Numbers: [190]
190,14 unequal: No Solution
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 14:[95, 12], Operations: ['85/17=5', '7+5=12']
Exploring Operation: 95*12=1140, Resulting Numbers: [1140]
1140,14 unequal: No Solution
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,14 unequal: No Solution
Exploring Operation: 95+12=107, Resulting Numbers: [107]
107,14 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: 14:[7, 85, 78], Operations: ['95-17=78']
Exploring Operation: 7+85=92, Resulting Numbers: [78, 92]
Generated Node #0,3,0: 14:[78, 92] Operation: 7+85=92
Exploring Operation: 85-7=78, Resulting Numbers: [78, 78]
Generated Node #0,3,1: 14:[78, 78] Operation: 85-7=78
Exploring Operation: 78-7=71, Resulting Numbers: [85, 71]
Generated Node #0,3,2: 14:[85, 71] Operation: 78-7=71
Exploring Operation: 85-78=7, Resulting Numbers: [7, 7]
Generated Node #0,3,3: 14:[7, 7] Operation: 85-78=7
Exploring Operation: 7+78=85, Resulting Numbers: [85, 85]
Generated Node #0,3,4: 14:[85, 85] Operation: 7+78=85
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 14:[7, 7], Operations: ['95-17=78', '85-78=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[17, 7, 95, 85], Operations: []
Exploring Operation: 95-17=78, Resulting Numbers: [7, 85, 78]
Generated Node #0,3: 14:[7, 85, 78] Operation: 95-17=78
Moving to Node #0,3
Current State: 14:[7, 85, 78], Operations: ['95-17=78']
Exploring Operation: 85-78=7, Resulting Numbers: [7, 7]
Generated Node #0,3,3: 14:[7, 7] Operation: 85-78=7
Moving to Node #0,3,3
Current State: 14:[7, 7], Operations: ['95-17=78', '85-78=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
84,
56,
63,
5
] | 87 | [
"63-5=58",
"84*58=4872",
"4872/56=87"
] | Current State: 87:[84, 56, 63, 5], Operations: []
Exploring Operation: 63-5=58, Resulting Numbers: [84, 56, 58]
Generated Node #2: [84, 56, 58] from Operation: 63-5=58
Current State: 87:[84, 56, 58], Operations: ['63-5=58']
Exploring Operation: 84*58=4872, Resulting Numbers: [56, 4872]
Generated Node #3: [56, 4872] from Operation: 84*58=4872
Current State: 87:[56, 4872], Operations: ['63-5=58', '84*58=4872']
Exploring Operation: 4872/56=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[84, 56, 63, 5], Operations: []
Exploring Operation: 84-56=28, Resulting Numbers: [63, 5, 28]
Generated Node #0,0: 87:[63, 5, 28] Operation: 84-56=28
Exploring Operation: 63-56=7, Resulting Numbers: [84, 5, 7]
Generated Node #0,1: 87:[84, 5, 7] Operation: 63-56=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[84, 5, 7], Operations: ['63-56=7']
Exploring Operation: 7-5=2, Resulting Numbers: [84, 2]
Generated Node #0,1,0: 87:[84, 2] Operation: 7-5=2
Exploring Operation: 84+5=89, Resulting Numbers: [7, 89]
Generated Node #0,1,1: 87:[7, 89] Operation: 84+5=89
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[84, 2], Operations: ['63-56=7', '7-5=2']
Exploring Operation: 84-2=82, Resulting Numbers: [82]
82,87 unequal: No Solution
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,87 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:[7, 89], Operations: ['63-56=7', '84+5=89']
Exploring Operation: 7+89=96, Resulting Numbers: [96]
96,87 unequal: No Solution
Exploring Operation: 89-7=82, Resulting Numbers: [82]
82,87 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 #0,0
Current State: 87:[63, 5, 28], Operations: ['84-56=28']
Exploring Operation: 63-28=35, Resulting Numbers: [5, 35]
Generated Node #0,0,0: 87:[5, 35] Operation: 63-28=35
Exploring Operation: 63+28=91, Resulting Numbers: [5, 91]
Generated Node #0,0,1: 87:[5, 91] Operation: 63+28=91
Moving to Node #0,0,1
Current State: 87:[5, 91], Operations: ['84-56=28', '63+28=91']
Exploring Operation: 5+91=96, Resulting Numbers: [96]
96,87 unequal: No Solution
Exploring Operation: 91-5=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[5, 35], Operations: ['84-56=28', '63-28=35']
Exploring Operation: 35-5=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
90,
24,
9,
12
] | 87 | [
"90-24=66",
"9+12=21",
"66+21=87"
] | Current State: 87:[90, 24, 9, 12], Operations: []
Exploring Operation: 90-24=66, Resulting Numbers: [9, 12, 66]
Generated Node #2: [9, 12, 66] from Operation: 90-24=66
Current State: 87:[9, 12, 66], Operations: ['90-24=66']
Exploring Operation: 9+12=21, Resulting Numbers: [66, 21]
Generated Node #3: [66, 21] from Operation: 9+12=21
Current State: 87:[66, 21], Operations: ['90-24=66', '9+12=21']
Exploring Operation: 66+21=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[90, 24, 9, 12], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [90, 9, 2]
Generated Node #0,0: 87:[90, 9, 2] Operation: 24/12=2
Exploring Operation: 12-9=3, Resulting Numbers: [90, 24, 3]
Generated Node #0,1: 87:[90, 24, 3] Operation: 12-9=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[90, 24, 3], Operations: ['12-9=3']
Exploring Operation: 90-3=87, Resulting Numbers: [24, 87]
Generated Node #0,1,0: 87:[24, 87] Operation: 90-3=87
Exploring Operation: 24+3=27, Resulting Numbers: [90, 27]
Generated Node #0,1,1: 87:[90, 27] Operation: 24+3=27
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[24, 87], Operations: ['12-9=3', '90-3=87']
Exploring Operation: 24+87=111, Resulting Numbers: [111]
111,87 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,87 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:[90, 27], Operations: ['12-9=3', '24+3=27']
Exploring Operation: 90+27=117, Resulting Numbers: [117]
117,87 unequal: No Solution
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,87 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 #0,0
Current State: 87:[90, 9, 2], Operations: ['24/12=2']
Exploring Operation: 90-2=88, Resulting Numbers: [9, 88]
Generated Node #0,0,0: 87:[9, 88] Operation: 90-2=88
Exploring Operation: 90-9=81, Resulting Numbers: [2, 81]
Generated Node #0,0,1: 87:[2, 81] Operation: 90-9=81
Moving to Node #0,0,0
Current State: 87:[9, 88], Operations: ['24/12=2', '90-2=88']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,87 unequal: No Solution
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,87 unequal: No Solution
Moving to Node #0,0,1
Current State: 87:[2, 81], Operations: ['24/12=2', '90-9=81']
Exploring Operation: 2+81=83, Resulting Numbers: [83]
83,87 unequal: No Solution
Exploring Operation: 81-2=79, Resulting Numbers: [79]
79,87 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 |
[
24,
80,
40,
1
] | 97 | [
"80-24=56",
"40+1=41",
"56+41=97"
] | Current State: 97:[24, 80, 40, 1], Operations: []
Exploring Operation: 80-24=56, Resulting Numbers: [40, 1, 56]
Generated Node #2: [40, 1, 56] from Operation: 80-24=56
Current State: 97:[40, 1, 56], Operations: ['80-24=56']
Exploring Operation: 40+1=41, Resulting Numbers: [56, 41]
Generated Node #3: [56, 41] from Operation: 40+1=41
Current State: 97:[56, 41], Operations: ['80-24=56', '40+1=41']
Exploring Operation: 56+41=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 | Current State: 97:[24, 80, 40, 1], Operations: []
Exploring Operation: 24+1=25, Resulting Numbers: [80, 40, 25]
Generated Node #0,0: 97:[80, 40, 25] Operation: 24+1=25
Exploring Operation: 80+1=81, Resulting Numbers: [24, 40, 81]
Generated Node #0,1: 97:[24, 40, 81] Operation: 80+1=81
Exploring Operation: 24+40=64, Resulting Numbers: [80, 1, 64]
Generated Node #0,2: 97:[80, 1, 64] Operation: 24+40=64
Moving to Node #0,0
Current State: 97:[80, 40, 25], Operations: ['24+1=25']
Exploring Operation: 80+25=105, Resulting Numbers: [40, 105]
Generated Node #0,0,0: 97:[40, 105] Operation: 80+25=105
Exploring Operation: 80+40=120, Resulting Numbers: [25, 120]
Generated Node #0,0,1: 97:[25, 120] Operation: 80+40=120
Exploring Operation: 40+25=65, Resulting Numbers: [80, 65]
Generated Node #0,0,2: 97:[80, 65] Operation: 40+25=65
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 97:[80, 65], Operations: ['24+1=25', '40+25=65']
Exploring Operation: 80+65=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 80-65=15, Resulting Numbers: [15]
15,97 unequal: No Solution
Exploring Operation: 80*65=5200, Resulting Numbers: [5200]
5200,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 97:[40, 105], Operations: ['24+1=25', '80+25=105']
Exploring Operation: 40+105=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 40*105=4200, Resulting Numbers: [4200]
4200,97 unequal: No Solution
Exploring Operation: 105-40=65, Resulting Numbers: [65]
65,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 97:[25, 120], Operations: ['24+1=25', '80+40=120']
Exploring Operation: 25+120=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 120-25=95, Resulting Numbers: [95]
95,97 unequal: No Solution
Exploring Operation: 25*120=3000, Resulting Numbers: [3000]
3000,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 97:[24, 40, 81], Operations: ['80+1=81']
Exploring Operation: 24+40=64, Resulting Numbers: [81, 64]
Generated Node #0,1,0: 97:[81, 64] Operation: 24+40=64
Exploring Operation: 24+81=105, Resulting Numbers: [40, 105]
Generated Node #0,1,1: 97:[40, 105] Operation: 24+81=105
Exploring Operation: 40-24=16, Resulting Numbers: [81, 16]
Generated Node #0,1,2: 97:[81, 16] Operation: 40-24=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 97:[81, 64], Operations: ['80+1=81', '24+40=64']
Exploring Operation: 81-64=17, Resulting Numbers: [17]
17,97 unequal: No Solution
Exploring Operation: 81*64=5184, Resulting Numbers: [5184]
5184,97 unequal: No Solution
Exploring Operation: 81+64=145, Resulting Numbers: [145]
145,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 97:[40, 105], Operations: ['80+1=81', '24+81=105']
Exploring Operation: 40+105=145, Resulting Numbers: [145]
145,97 unequal: No Solution
Exploring Operation: 40*105=4200, Resulting Numbers: [4200]
4200,97 unequal: No Solution
Exploring Operation: 105-40=65, Resulting Numbers: [65]
65,97 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 97:[81, 16], Operations: ['80+1=81', '40-24=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Moving to Node #0
Current State: 97:[24, 80, 40, 1], Operations: []
Exploring Operation: 80+1=81, Resulting Numbers: [24, 40, 81]
Generated Node #0,1: 97:[24, 40, 81] Operation: 80+1=81
Moving to Node #0,1
Current State: 97:[24, 40, 81], Operations: ['80+1=81']
Exploring Operation: 40-24=16, Resulting Numbers: [81, 16]
Generated Node #0,1,2: 97:[81, 16] Operation: 40-24=16
Moving to Node #0,1,2
Current State: 97:[81, 16], Operations: ['80+1=81', '40-24=16']
Exploring Operation: 81+16=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_3 | sum_heuristic |
[
59,
91,
53,
55
] | 42 | [
"59+91=150",
"53+55=108",
"150-108=42"
] | Current State: 42:[59, 91, 53, 55], Operations: []
Exploring Operation: 59+91=150, Resulting Numbers: [53, 55, 150]
Generated Node #2: [53, 55, 150] from Operation: 59+91=150
Current State: 42:[53, 55, 150], Operations: ['59+91=150']
Exploring Operation: 53+55=108, Resulting Numbers: [150, 108]
Generated Node #3: [150, 108] from Operation: 53+55=108
Current State: 42:[150, 108], Operations: ['59+91=150', '53+55=108']
Exploring Operation: 150-108=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[59, 91, 53, 55], Operations: []
Exploring Operation: 91-59=32, Resulting Numbers: [53, 55, 32]
Generated Node #0,0: 42:[53, 55, 32] Operation: 91-59=32
Exploring Operation: 91-55=36, Resulting Numbers: [59, 53, 36]
Generated Node #0,1: 42:[59, 53, 36] Operation: 91-55=36
Exploring Operation: 91-53=38, Resulting Numbers: [59, 55, 38]
Generated Node #0,2: 42:[59, 55, 38] Operation: 91-53=38
Moving to Node #0,0
Current State: 42:[53, 55, 32], Operations: ['91-59=32']
Exploring Operation: 55-32=23, Resulting Numbers: [53, 23]
Generated Node #0,0,0: 42:[53, 23] Operation: 55-32=23
Exploring Operation: 53-32=21, Resulting Numbers: [55, 21]
Generated Node #0,0,1: 42:[55, 21] Operation: 53-32=21
Exploring Operation: 55-53=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 42:[32, 2] Operation: 55-53=2
Moving to Node #0,1
Current State: 42:[59, 53, 36], Operations: ['91-55=36']
Exploring Operation: 59-53=6, Resulting Numbers: [36, 6]
Generated Node #0,1,0: 42:[36, 6] Operation: 59-53=6
Exploring Operation: 59-36=23, Resulting Numbers: [53, 23]
Generated Node #0,1,1: 42:[53, 23] Operation: 59-36=23
Exploring Operation: 53-36=17, Resulting Numbers: [59, 17]
Generated Node #0,1,2: 42:[59, 17] Operation: 53-36=17
Moving to Node #0,2
Current State: 42:[59, 55, 38], Operations: ['91-53=38']
Exploring Operation: 59-55=4, Resulting Numbers: [38, 4]
Generated Node #0,2,0: 42:[38, 4] Operation: 59-55=4
Exploring Operation: 59-38=21, Resulting Numbers: [55, 21]
Generated Node #0,2,1: 42:[55, 21] Operation: 59-38=21
Exploring Operation: 55-38=17, Resulting Numbers: [59, 17]
Generated Node #0,2,2: 42:[59, 17] Operation: 55-38=17
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[38, 4], Operations: ['91-53=38', '59-55=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[59, 91, 53, 55], Operations: []
Exploring Operation: 91-53=38, Resulting Numbers: [59, 55, 38]
Generated Node #0,2: 42:[59, 55, 38] Operation: 91-53=38
Moving to Node #0,2
Current State: 42:[59, 55, 38], Operations: ['91-53=38']
Exploring Operation: 59-55=4, Resulting Numbers: [38, 4]
Generated Node #0,2,0: 42:[38, 4] Operation: 59-55=4
Moving to Node #0,2,0
Current State: 42:[38, 4], Operations: ['91-53=38', '59-55=4']
Exploring Operation: 38+4=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_3 | sum_heuristic |
[
39,
51,
25,
44
] | 31 | [
"51-39=12",
"44-25=19",
"12+19=31"
] | Current State: 31:[39, 51, 25, 44], Operations: []
Exploring Operation: 51-39=12, Resulting Numbers: [25, 44, 12]
Generated Node #2: [25, 44, 12] from Operation: 51-39=12
Current State: 31:[25, 44, 12], Operations: ['51-39=12']
Exploring Operation: 44-25=19, Resulting Numbers: [12, 19]
Generated Node #3: [12, 19] from Operation: 44-25=19
Current State: 31:[12, 19], Operations: ['51-39=12', '44-25=19']
Exploring Operation: 12+19=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[39, 51, 25, 44], Operations: []
Exploring Operation: 44-25=19, Resulting Numbers: [39, 51, 19]
Generated Node #0,0: 31:[39, 51, 19] Operation: 44-25=19
Exploring Operation: 39-25=14, Resulting Numbers: [51, 44, 14]
Generated Node #0,1: 31:[51, 44, 14] Operation: 39-25=14
Exploring Operation: 51-25=26, Resulting Numbers: [39, 44, 26]
Generated Node #0,2: 31:[39, 44, 26] Operation: 51-25=26
Exploring Operation: 51-39=12, Resulting Numbers: [25, 44, 12]
Generated Node #0,3: 31:[25, 44, 12] Operation: 51-39=12
Exploring Operation: 51-44=7, Resulting Numbers: [39, 25, 7]
Generated Node #0,4: 31:[39, 25, 7] Operation: 51-44=7
Moving to Node #0,2
Current State: 31:[39, 44, 26], Operations: ['51-25=26']
Exploring Operation: 44-26=18, Resulting Numbers: [39, 18]
Generated Node #0,2,0: 31:[39, 18] Operation: 44-26=18
Exploring Operation: 44+26=70, Resulting Numbers: [39, 70]
Generated Node #0,2,1: 31:[39, 70] Operation: 44+26=70
Exploring Operation: 44-39=5, Resulting Numbers: [26, 5]
Generated Node #0,2,2: 31:[26, 5] Operation: 44-39=5
Exploring Operation: 39-26=13, Resulting Numbers: [44, 13]
Generated Node #0,2,3: 31:[44, 13] Operation: 39-26=13
Exploring Operation: 39+26=65, Resulting Numbers: [44, 65]
Generated Node #0,2,4: 31:[44, 65] Operation: 39+26=65
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 31:[39, 18], Operations: ['51-25=26', '44-26=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,31 unequal: No Solution
Exploring Operation: 39*18=702, Resulting Numbers: [702]
702,31 unequal: No Solution
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,31 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 31:[26, 5], Operations: ['51-25=26', '44-39=5']
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,31 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,31 unequal: No Solution
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[39, 51, 25, 44], Operations: []
Exploring Operation: 51-25=26, Resulting Numbers: [39, 44, 26]
Generated Node #0,2: 31:[39, 44, 26] Operation: 51-25=26
Moving to Node #0,2
Current State: 31:[39, 44, 26], Operations: ['51-25=26']
Exploring Operation: 44-39=5, Resulting Numbers: [26, 5]
Generated Node #0,2,2: 31:[26, 5] Operation: 44-39=5
Moving to Node #0,2,2
Current State: 31:[26, 5], Operations: ['51-25=26', '44-39=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_5 | sum_heuristic |
[
84,
45,
74,
79
] | 47 | [
"84+74=158",
"158/79=2",
"45+2=47"
] | Current State: 47:[84, 45, 74, 79], Operations: []
Exploring Operation: 84+74=158, Resulting Numbers: [45, 79, 158]
Generated Node #2: [45, 79, 158] from Operation: 84+74=158
Current State: 47:[45, 79, 158], Operations: ['84+74=158']
Exploring Operation: 158/79=2, Resulting Numbers: [45, 2]
Generated Node #3: [45, 2] from Operation: 158/79=2
Current State: 47:[45, 2], Operations: ['84+74=158', '158/79=2']
Exploring Operation: 45+2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[84, 45, 74, 79], Operations: []
Exploring Operation: 79-45=34, Resulting Numbers: [84, 74, 34]
Generated Node #0,0: 47:[84, 74, 34] Operation: 79-45=34
Exploring Operation: 84-45=39, Resulting Numbers: [74, 79, 39]
Generated Node #0,1: 47:[74, 79, 39] Operation: 84-45=39
Exploring Operation: 84-74=10, Resulting Numbers: [45, 79, 10]
Generated Node #0,2: 47:[45, 79, 10] Operation: 84-74=10
Exploring Operation: 84-79=5, Resulting Numbers: [45, 74, 5]
Generated Node #0,3: 47:[45, 74, 5] Operation: 84-79=5
Moving to Node #0,1
Current State: 47:[74, 79, 39], Operations: ['84-45=39']
Exploring Operation: 79-74=5, Resulting Numbers: [39, 5]
Generated Node #0,1,0: 47:[39, 5] Operation: 79-74=5
Exploring Operation: 74-39=35, Resulting Numbers: [79, 35]
Generated Node #0,1,1: 47:[79, 35] Operation: 74-39=35
Exploring Operation: 74+39=113, Resulting Numbers: [79, 113]
Generated Node #0,1,2: 47:[79, 113] Operation: 74+39=113
Exploring Operation: 79-39=40, Resulting Numbers: [74, 40]
Generated Node #0,1,3: 47:[74, 40] Operation: 79-39=40
Moving to Node #0,3
Current State: 47:[45, 74, 5], Operations: ['84-79=5']
Exploring Operation: 45-5=40, Resulting Numbers: [74, 40]
Generated Node #0,3,0: 47:[74, 40] Operation: 45-5=40
Exploring Operation: 74+5=79, Resulting Numbers: [45, 79]
Generated Node #0,3,1: 47:[45, 79] Operation: 74+5=79
Exploring Operation: 74-5=69, Resulting Numbers: [45, 69]
Generated Node #0,3,2: 47:[45, 69] Operation: 74-5=69
Exploring Operation: 45+5=50, Resulting Numbers: [74, 50]
Generated Node #0,3,3: 47:[74, 50] Operation: 45+5=50
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[45, 69], Operations: ['84-79=5', '74-5=69']
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 45+69=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 45*69=3105, Resulting Numbers: [3105]
3105,47 unequal: No Solution
No 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: 47:[74, 50], Operations: ['84-79=5', '45+5=50']
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,47 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,47 unequal: No Solution
No 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: 47:[74, 40], Operations: ['84-79=5', '45-5=40']
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,47 unequal: No Solution
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,47 unequal: No Solution
No 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: 47:[45, 79], Operations: ['84-79=5', '74+5=79']
Exploring Operation: 45+79=124, Resulting Numbers: [124]
124,47 unequal: No Solution
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 45*79=3555, Resulting Numbers: [3555]
3555,47 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: 47:[45, 79, 10], Operations: ['84-74=10']
Exploring Operation: 79-10=69, Resulting Numbers: [45, 69]
Generated Node #0,2,0: 47:[45, 69] Operation: 79-10=69
Exploring Operation: 45-10=35, Resulting Numbers: [79, 35]
Generated Node #0,2,1: 47:[79, 35] Operation: 45-10=35
Exploring Operation: 45+10=55, Resulting Numbers: [79, 55]
Generated Node #0,2,2: 47:[79, 55] Operation: 45+10=55
Exploring Operation: 79+10=89, Resulting Numbers: [45, 89]
Generated Node #0,2,3: 47:[45, 89] Operation: 79+10=89
Moving to Node #0,0
Current State: 47:[84, 74, 34], Operations: ['79-45=34']
Exploring Operation: 74-34=40, Resulting Numbers: [84, 40]
Generated Node #0,0,0: 47:[84, 40] Operation: 74-34=40
Exploring Operation: 84+34=118, Resulting Numbers: [74, 118]
Generated Node #0,0,1: 47:[74, 118] Operation: 84+34=118
Exploring Operation: 84-74=10, Resulting Numbers: [34, 10]
Generated Node #0,0,2: 47:[34, 10] Operation: 84-74=10
Exploring Operation: 84-34=50, Resulting Numbers: [74, 50]
Generated Node #0,0,3: 47:[74, 50] Operation: 84-34=50
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 47:[74, 50], Operations: ['79-45=34', '84-34=50']
Exploring Operation: 74*50=3700, Resulting Numbers: [3700]
3700,47 unequal: No Solution
Exploring Operation: 74+50=124, Resulting Numbers: [124]
124,47 unequal: No Solution
Exploring Operation: 74-50=24, Resulting Numbers: [24]
24,47 unequal: No Solution
No 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: 47:[84, 40], Operations: ['79-45=34', '74-34=40']
Exploring Operation: 84+40=124, Resulting Numbers: [124]
124,47 unequal: No Solution
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 84*40=3360, Resulting Numbers: [3360]
3360,47 unequal: No Solution
No 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: 47:[34, 10], Operations: ['79-45=34', '84-74=10']
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,47 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,47 unequal: No Solution
No 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: 47:[74, 118], Operations: ['79-45=34', '84+34=118']
Exploring Operation: 118-74=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 74*118=8732, Resulting Numbers: [8732]
8732,47 unequal: No Solution
Exploring Operation: 74+118=192, Resulting Numbers: [192]
192,47 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: 47:[45, 69], Operations: ['84-74=10', '79-10=69']
Exploring Operation: 45+69=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 69-45=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 45*69=3105, Resulting Numbers: [3105]
3105,47 unequal: No Solution
Moving to Node #0,1,3
Current State: 47:[74, 40], Operations: ['84-45=39', '79-39=40']
Exploring Operation: 74*40=2960, Resulting Numbers: [2960]
2960,47 unequal: No Solution
Exploring Operation: 74-40=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 74+40=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Moving to Node #0,2,2
Current State: 47:[79, 55], Operations: ['84-74=10', '45+10=55']
Exploring Operation: 79-55=24, Resulting Numbers: [24]
24,47 unequal: No Solution
Exploring Operation: 79*55=4345, Resulting Numbers: [4345]
4345,47 unequal: No Solution
Exploring Operation: 79+55=134, Resulting Numbers: [134]
134,47 unequal: No Solution
Moving to Node #0,2,1
Current State: 47:[79, 35], Operations: ['84-74=10', '45-10=35']
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 79+35=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 79*35=2765, Resulting Numbers: [2765]
2765,47 unequal: No Solution
Moving to Node #0,1,1
Current State: 47:[79, 35], Operations: ['84-45=39', '74-39=35']
Exploring Operation: 79+35=114, Resulting Numbers: [114]
114,47 unequal: No Solution
Exploring Operation: 79-35=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 79*35=2765, Resulting Numbers: [2765]
2765,47 unequal: No Solution
Moving to Node #0,2,3
Current State: 47:[45, 89], Operations: ['84-74=10', '79+10=89']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Exploring Operation: 45*89=4005, Resulting Numbers: [4005]
4005,47 unequal: No Solution
Exploring Operation: 45+89=134, Resulting Numbers: [134]
134,47 unequal: No Solution
Moving to Node #0,1,0
Current State: 47:[39, 5], Operations: ['84-45=39', '79-74=5']
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 39*5=195, Resulting Numbers: [195]
195,47 unequal: No Solution
Exploring Operation: 39+5=44, Resulting Numbers: [44]
44,47 unequal: No Solution
Moving to Node #0,1,2
Current State: 47:[79, 113], Operations: ['84-45=39', '74+39=113']
Exploring Operation: 113-79=34, Resulting Numbers: [34]
34,47 unequal: No Solution
Exploring Operation: 79+113=192, Resulting Numbers: [192]
192,47 unequal: No Solution
Exploring Operation: 79*113=8927, Resulting Numbers: [8927]
8927,47 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
30,
47,
51,
97
] | 100 | [
"47-30=17",
"51/17=3",
"97+3=100"
] | Current State: 100:[30, 47, 51, 97], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [51, 97, 17]
Generated Node #2: [51, 97, 17] from Operation: 47-30=17
Current State: 100:[51, 97, 17], Operations: ['47-30=17']
Exploring Operation: 51/17=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 51/17=3
Current State: 100:[97, 3], Operations: ['47-30=17', '51/17=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[30, 47, 51, 97], Operations: []
Exploring Operation: 51-30=21, Resulting Numbers: [47, 97, 21]
Generated Node #0,0: 100:[47, 97, 21] Operation: 51-30=21
Exploring Operation: 51-47=4, Resulting Numbers: [30, 97, 4]
Generated Node #0,1: 100:[30, 97, 4] Operation: 51-47=4
Exploring Operation: 47-30=17, Resulting Numbers: [51, 97, 17]
Generated Node #0,2: 100:[51, 97, 17] Operation: 47-30=17
Exploring Operation: 97-47=50, Resulting Numbers: [30, 51, 50]
Generated Node #0,3: 100:[30, 51, 50] Operation: 97-47=50
Moving to Node #0,3
Current State: 100:[30, 51, 50], Operations: ['97-47=50']
Exploring Operation: 50-30=20, Resulting Numbers: [51, 20]
Generated Node #0,3,0: 100:[51, 20] Operation: 50-30=20
Exploring Operation: 51-50=1, Resulting Numbers: [30, 1]
Generated Node #0,3,1: 100:[30, 1] Operation: 51-50=1
Exploring Operation: 51+50=101, Resulting Numbers: [30, 101]
Generated Node #0,3,2: 100:[30, 101] Operation: 51+50=101
Exploring Operation: 51-30=21, Resulting Numbers: [50, 21]
Generated Node #0,3,3: 100:[50, 21] Operation: 51-30=21
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 100:[51, 20], Operations: ['97-47=50', '50-30=20']
Exploring Operation: 51+20=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 51-20=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 51*20=1020, Resulting Numbers: [1020]
1020,100 unequal: No Solution
No 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: 100:[50, 21], Operations: ['97-47=50', '51-30=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,100 unequal: No Solution
No 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: 100:[30, 1], Operations: ['97-47=50', '51-50=1']
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,100 unequal: No Solution
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,100 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,100 unequal: No Solution
No 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: 100:[30, 101], Operations: ['97-47=50', '51+50=101']
Exploring Operation: 101-30=71, Resulting Numbers: [71]
71,100 unequal: No Solution
Exploring Operation: 30*101=3030, Resulting Numbers: [3030]
3030,100 unequal: No Solution
Exploring Operation: 30+101=131, Resulting Numbers: [131]
131,100 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: 100:[51, 97, 17], Operations: ['47-30=17']
Exploring Operation: 97-51=46, Resulting Numbers: [17, 46]
Generated Node #0,2,0: 100:[17, 46] Operation: 97-51=46
Exploring Operation: 97+17=114, Resulting Numbers: [51, 114]
Generated Node #0,2,1: 100:[51, 114] Operation: 97+17=114
Exploring Operation: 51-17=34, Resulting Numbers: [97, 34]
Generated Node #0,2,2: 100:[97, 34] Operation: 51-17=34
Exploring Operation: 51/17=3, Resulting Numbers: [97, 3]
Generated Node #0,2,3: 100:[97, 3] Operation: 51/17=3
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 100:[97, 3], Operations: ['47-30=17', '51/17=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[30, 47, 51, 97], Operations: []
Exploring Operation: 47-30=17, Resulting Numbers: [51, 97, 17]
Generated Node #0,2: 100:[51, 97, 17] Operation: 47-30=17
Moving to Node #0,2
Current State: 100:[51, 97, 17], Operations: ['47-30=17']
Exploring Operation: 51/17=3, Resulting Numbers: [97, 3]
Generated Node #0,2,3: 100:[97, 3] Operation: 51/17=3
Moving to Node #0,2,3
Current State: 100:[97, 3], Operations: ['47-30=17', '51/17=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.973958 | hs_4 | sum_heuristic |
[
33,
55,
74,
65
] | 79 | [
"33+55=88",
"74-65=9",
"88-9=79"
] | Current State: 79:[33, 55, 74, 65], Operations: []
Exploring Operation: 33+55=88, Resulting Numbers: [74, 65, 88]
Generated Node #2: [74, 65, 88] from Operation: 33+55=88
Current State: 79:[74, 65, 88], Operations: ['33+55=88']
Exploring Operation: 74-65=9, Resulting Numbers: [88, 9]
Generated Node #3: [88, 9] from Operation: 74-65=9
Current State: 79:[88, 9], Operations: ['33+55=88', '74-65=9']
Exploring Operation: 88-9=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 | Current State: 79:[33, 55, 74, 65], Operations: []
Exploring Operation: 33+55=88, Resulting Numbers: [74, 65, 88]
Generated Node #0,0: 79:[74, 65, 88] Operation: 33+55=88
Moving to Node #0,0
Current State: 79:[74, 65, 88], Operations: ['33+55=88']
Exploring Operation: 88-65=23, Resulting Numbers: [74, 23]
Generated Node #0,0,0: 79:[74, 23] Operation: 88-65=23
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 79:[74, 23], Operations: ['33+55=88', '88-65=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,79 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
5,
64,
4,
68
] | 11 | [
"68-64=4",
"4*4=16",
"16-5=11"
] | Current State: 11:[5, 64, 4, 68], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [5, 4, 4]
Generated Node #2: [5, 4, 4] from Operation: 68-64=4
Current State: 11:[5, 4, 4], Operations: ['68-64=4']
Exploring Operation: 4*4=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 4*4=16
Current State: 11:[5, 16], Operations: ['68-64=4', '4*4=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[5, 64, 4, 68], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [5, 68, 16]
Generated Node #0,0: 11:[5, 68, 16] Operation: 64/4=16
Exploring Operation: 68-64=4, Resulting Numbers: [5, 4, 4]
Generated Node #0,1: 11:[5, 4, 4] Operation: 68-64=4
Exploring Operation: 64-5=59, Resulting Numbers: [4, 68, 59]
Generated Node #0,2: 11:[4, 68, 59] Operation: 64-5=59
Exploring Operation: 68/4=17, Resulting Numbers: [5, 64, 17]
Generated Node #0,3: 11:[5, 64, 17] Operation: 68/4=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[5, 4, 4], Operations: ['68-64=4']
Exploring Operation: 4+4=8, Resulting Numbers: [5, 8]
Generated Node #0,1,0: 11:[5, 8] Operation: 4+4=8
Exploring Operation: 5+4=9, Resulting Numbers: [4, 9]
Generated Node #0,1,1: 11:[4, 9] Operation: 5+4=9
Exploring Operation: 5+4=9, Resulting Numbers: [4, 9]
Generated Node #0,1,2: 11:[4, 9] Operation: 5+4=9
Exploring Operation: 4*4=16, Resulting Numbers: [5, 16]
Generated Node #0,1,3: 11:[5, 16] Operation: 4*4=16
Moving to Node #0,1,0
Current State: 11:[5, 8], Operations: ['68-64=4', '4+4=8']
Exploring Operation: 5+8=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,11 unequal: No Solution
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[4, 9], Operations: ['68-64=4', '5+4=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[4, 9], Operations: ['68-64=4', '5+4=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,11 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,11 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[5, 16], Operations: ['68-64=4', '4*4=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,11 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,11 unequal: No Solution
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[5, 64, 4, 68], Operations: []
Exploring Operation: 68-64=4, Resulting Numbers: [5, 4, 4]
Generated Node #0,1: 11:[5, 4, 4] Operation: 68-64=4
Moving to Node #0,1
Current State: 11:[5, 4, 4], Operations: ['68-64=4']
Exploring Operation: 4*4=16, Resulting Numbers: [5, 16]
Generated Node #0,1,3: 11:[5, 16] Operation: 4*4=16
Moving to Node #0,1,3
Current State: 11:[5, 16], Operations: ['68-64=4', '4*4=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.979167 | hs_4 | mult_heuristic |
[
95,
62,
9,
19
] | 66 | [
"95/19=5",
"62+9=71",
"71-5=66"
] | Current State: 66:[95, 62, 9, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [62, 9, 5]
Generated Node #2: [62, 9, 5] from Operation: 95/19=5
Current State: 66:[62, 9, 5], Operations: ['95/19=5']
Exploring Operation: 62+9=71, Resulting Numbers: [5, 71]
Generated Node #3: [5, 71] from Operation: 62+9=71
Current State: 66:[5, 71], Operations: ['95/19=5', '62+9=71']
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[95, 62, 9, 19], Operations: []
Exploring Operation: 95-62=33, Resulting Numbers: [9, 19, 33]
Generated Node #0,0: 66:[9, 19, 33] Operation: 95-62=33
Exploring Operation: 95/19=5, Resulting Numbers: [62, 9, 5]
Generated Node #0,1: 66:[62, 9, 5] Operation: 95/19=5
Exploring Operation: 95-19=76, Resulting Numbers: [62, 9, 76]
Generated Node #0,2: 66:[62, 9, 76] Operation: 95-19=76
Exploring Operation: 95-9=86, Resulting Numbers: [62, 19, 86]
Generated Node #0,3: 66:[62, 19, 86] Operation: 95-9=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[9, 19, 33], Operations: ['95-62=33']
Exploring Operation: 33-9=24, Resulting Numbers: [19, 24]
Generated Node #0,0,0: 66:[19, 24] Operation: 33-9=24
Exploring Operation: 9+19=28, Resulting Numbers: [33, 28]
Generated Node #0,0,1: 66:[33, 28] Operation: 9+19=28
Exploring Operation: 19-9=10, Resulting Numbers: [33, 10]
Generated Node #0,0,2: 66:[33, 10] Operation: 19-9=10
Exploring Operation: 33-19=14, Resulting Numbers: [9, 14]
Generated Node #0,0,3: 66:[9, 14] Operation: 33-19=14
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 66:[33, 10], Operations: ['95-62=33', '19-9=10']
Exploring Operation: 33*10=330, Resulting Numbers: [330]
330,66 unequal: No Solution
Exploring Operation: 33-10=23, Resulting Numbers: [23]
23,66 unequal: No Solution
Exploring Operation: 33+10=43, Resulting Numbers: [43]
43,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 66:[19, 24], Operations: ['95-62=33', '33-9=24']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 19*24=456, Resulting Numbers: [456]
456,66 unequal: No Solution
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[33, 28], Operations: ['95-62=33', '9+19=28']
Exploring Operation: 33*28=924, Resulting Numbers: [924]
924,66 unequal: No Solution
Exploring Operation: 33-28=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 33+28=61, Resulting Numbers: [61]
61,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 66:[9, 14], Operations: ['95-62=33', '33-19=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,66 unequal: No Solution
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[62, 9, 5], Operations: ['95/19=5']
Exploring Operation: 62+9=71, Resulting Numbers: [5, 71]
Generated Node #0,1,0: 66:[5, 71] Operation: 62+9=71
Exploring Operation: 62+5=67, Resulting Numbers: [9, 67]
Generated Node #0,1,1: 66:[9, 67] Operation: 62+5=67
Exploring Operation: 9-5=4, Resulting Numbers: [62, 4]
Generated Node #0,1,2: 66:[62, 4] Operation: 9-5=4
Exploring Operation: 9+5=14, Resulting Numbers: [62, 14]
Generated Node #0,1,3: 66:[62, 14] Operation: 9+5=14
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 66:[9, 67], Operations: ['95/19=5', '62+5=67']
Exploring Operation: 9*67=603, Resulting Numbers: [603]
603,66 unequal: No Solution
Exploring Operation: 9+67=76, Resulting Numbers: [76]
76,66 unequal: No Solution
Exploring Operation: 67-9=58, Resulting Numbers: [58]
58,66 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 66:[62, 4], Operations: ['95/19=5', '9-5=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Moving to Node #0
Current State: 66:[95, 62, 9, 19], Operations: []
Exploring Operation: 95/19=5, Resulting Numbers: [62, 9, 5]
Generated Node #0,1: 66:[62, 9, 5] Operation: 95/19=5
Moving to Node #0,1
Current State: 66:[62, 9, 5], Operations: ['95/19=5']
Exploring Operation: 9-5=4, Resulting Numbers: [62, 4]
Generated Node #0,1,2: 66:[62, 4] Operation: 9-5=4
Moving to Node #0,1,2
Current State: 66:[62, 4], Operations: ['95/19=5', '9-5=4']
Exploring Operation: 62+4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222 | hs_4 | sum_heuristic |
[
67,
11,
25,
32
] | 34 | [
"67+32=99",
"99/11=9",
"25+9=34"
] | Current State: 34:[67, 11, 25, 32], Operations: []
Exploring Operation: 67+32=99, Resulting Numbers: [11, 25, 99]
Generated Node #2: [11, 25, 99] from Operation: 67+32=99
Current State: 34:[11, 25, 99], Operations: ['67+32=99']
Exploring Operation: 99/11=9, Resulting Numbers: [25, 9]
Generated Node #3: [25, 9] from Operation: 99/11=9
Current State: 34:[25, 9], Operations: ['67+32=99', '99/11=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[67, 11, 25, 32], Operations: []
Exploring Operation: 67-25=42, Resulting Numbers: [11, 32, 42]
Generated Node #0,0: 34:[11, 32, 42] Operation: 67-25=42
Exploring Operation: 67-32=35, Resulting Numbers: [11, 25, 35]
Generated Node #0,1: 34:[11, 25, 35] Operation: 67-32=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 34:[11, 25, 35], Operations: ['67-32=35']
Exploring Operation: 25-11=14, Resulting Numbers: [35, 14]
Generated Node #0,1,0: 34:[35, 14] Operation: 25-11=14
Exploring Operation: 11+25=36, Resulting Numbers: [35, 36]
Generated Node #0,1,1: 34:[35, 36] Operation: 11+25=36
Moving to Node #0,1,1
Current State: 34:[35, 36], Operations: ['67-32=35', '11+25=36']
Exploring Operation: 35+36=71, Resulting Numbers: [71]
71,34 unequal: No Solution
Exploring Operation: 36-35=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Moving to Node #0,1,0
Current State: 34:[35, 14], Operations: ['67-32=35', '25-11=14']
Exploring Operation: 35-14=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 35+14=49, Resulting Numbers: [49]
49,34 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 #0,0
Current State: 34:[11, 32, 42], Operations: ['67-25=42']
Exploring Operation: 42-11=31, Resulting Numbers: [32, 31]
Generated Node #0,0,0: 34:[32, 31] Operation: 42-11=31
Exploring Operation: 32-11=21, Resulting Numbers: [42, 21]
Generated Node #0,0,1: 34:[42, 21] Operation: 32-11=21
Moving to Node #0,0,0
Current State: 34:[32, 31], Operations: ['67-25=42', '42-11=31']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,34 unequal: No Solution
Exploring Operation: 32+31=63, Resulting Numbers: [63]
63,34 unequal: No Solution
Moving to Node #0,0,1
Current State: 34:[42, 21], Operations: ['67-25=42', '32-11=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,34 unequal: No Solution
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,34 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 |
[
14,
52,
2,
8
] | 11 | [
"14+52=66",
"8-2=6",
"66/6=11"
] | Current State: 11:[14, 52, 2, 8], Operations: []
Exploring Operation: 14+52=66, Resulting Numbers: [2, 8, 66]
Generated Node #2: [2, 8, 66] from Operation: 14+52=66
Current State: 11:[2, 8, 66], Operations: ['14+52=66']
Exploring Operation: 8-2=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 8-2=6
Current State: 11:[66, 6], Operations: ['14+52=66', '8-2=6']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[14, 52, 2, 8], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [2, 8, 38]
Generated Node #0,0: 11:[2, 8, 38] Operation: 52-14=38
Exploring Operation: 52/2=26, Resulting Numbers: [14, 8, 26]
Generated Node #0,1: 11:[14, 8, 26] Operation: 52/2=26
Exploring Operation: 52-8=44, Resulting Numbers: [14, 2, 44]
Generated Node #0,2: 11:[14, 2, 44] Operation: 52-8=44
Exploring Operation: 14-2=12, Resulting Numbers: [52, 8, 12]
Generated Node #0,3: 11:[52, 8, 12] Operation: 14-2=12
Exploring Operation: 52-2=50, Resulting Numbers: [14, 8, 50]
Generated Node #0,4: 11:[14, 8, 50] Operation: 52-2=50
Start Sub Search at level 1: Moving to Node #0,1
Current State: 11:[14, 8, 26], Operations: ['52/2=26']
Exploring Operation: 14-8=6, Resulting Numbers: [26, 6]
Generated Node #0,1,0: 11:[26, 6] Operation: 14-8=6
Exploring Operation: 8+26=34, Resulting Numbers: [14, 34]
Generated Node #0,1,1: 11:[14, 34] Operation: 8+26=34
Exploring Operation: 26-8=18, Resulting Numbers: [14, 18]
Generated Node #0,1,2: 11:[14, 18] Operation: 26-8=18
Exploring Operation: 14+8=22, Resulting Numbers: [26, 22]
Generated Node #0,1,3: 11:[26, 22] Operation: 14+8=22
Exploring Operation: 26-14=12, Resulting Numbers: [8, 12]
Generated Node #0,1,4: 11:[8, 12] Operation: 26-14=12
Moving to Node #0,1,4
Current State: 11:[8, 12], Operations: ['52/2=26', '26-14=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 8*12=96, Resulting Numbers: [96]
96,11 unequal: No Solution
Moving to Node #0,1,2
Current State: 11:[14, 18], Operations: ['52/2=26', '26-8=18']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,11 unequal: No Solution
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Moving to Node #0,1,0
Current State: 11:[26, 6], Operations: ['52/2=26', '14-8=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,11 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,11 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Moving to Node #0,1,1
Current State: 11:[14, 34], Operations: ['52/2=26', '8+26=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,11 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 14*34=476, Resulting Numbers: [476]
476,11 unequal: No Solution
Moving to Node #0,1,3
Current State: 11:[26, 22], Operations: ['52/2=26', '14+8=22']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,11 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,11 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,11 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
Current State: 11:[2, 8, 38], Operations: ['52-14=38']
Exploring Operation: 38/2=19, Resulting Numbers: [8, 19]
Generated Node #0,0,0: 11:[8, 19] Operation: 38/2=19
Exploring Operation: 38-2=36, Resulting Numbers: [8, 36]
Generated Node #0,0,1: 11:[8, 36] Operation: 38-2=36
Exploring Operation: 2+8=10, Resulting Numbers: [38, 10]
Generated Node #0,0,2: 11:[38, 10] Operation: 2+8=10
Exploring Operation: 2*8=16, Resulting Numbers: [38, 16]
Generated Node #0,0,3: 11:[38, 16] Operation: 2*8=16
Exploring Operation: 38-8=30, Resulting Numbers: [2, 30]
Generated Node #0,0,4: 11:[2, 30] Operation: 38-8=30
Moving to Node #0,0,0
Current State: 11:[8, 19], Operations: ['52-14=38', '38/2=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[14, 52, 2, 8], Operations: []
Exploring Operation: 52-14=38, Resulting Numbers: [2, 8, 38]
Generated Node #0,0: 11:[2, 8, 38] Operation: 52-14=38
Moving to Node #0,0
Current State: 11:[2, 8, 38], Operations: ['52-14=38']
Exploring Operation: 38/2=19, Resulting Numbers: [8, 19]
Generated Node #0,0,0: 11:[8, 19] Operation: 38/2=19
Moving to Node #0,0,0
Current State: 11:[8, 19], Operations: ['52-14=38', '38/2=19']
Exploring Operation: 19-8=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618 | hs_5 | mult_heuristic |
[
27,
28,
24,
52
] | 76 | [
"28-27=1",
"24+52=76",
"1*76=76"
] | Current State: 76:[27, 28, 24, 52], Operations: []
Exploring Operation: 28-27=1, Resulting Numbers: [24, 52, 1]
Generated Node #2: [24, 52, 1] from Operation: 28-27=1
Current State: 76:[24, 52, 1], Operations: ['28-27=1']
Exploring Operation: 24+52=76, Resulting Numbers: [1, 76]
Generated Node #3: [1, 76] from Operation: 24+52=76
Current State: 76:[1, 76], Operations: ['28-27=1', '24+52=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[27, 28, 24, 52], Operations: []
Exploring Operation: 27+52=79, Resulting Numbers: [28, 24, 79]
Generated Node #0,0: 76:[28, 24, 79] Operation: 27+52=79
Exploring Operation: 28+52=80, Resulting Numbers: [27, 24, 80]
Generated Node #0,1: 76:[27, 24, 80] Operation: 28+52=80
Exploring Operation: 52-28=24, Resulting Numbers: [27, 24, 24]
Generated Node #0,2: 76:[27, 24, 24] Operation: 52-28=24
Exploring Operation: 28-27=1, Resulting Numbers: [24, 52, 1]
Generated Node #0,3: 76:[24, 52, 1] Operation: 28-27=1
Exploring Operation: 24+52=76, Resulting Numbers: [27, 28, 76]
Generated Node #0,4: 76:[27, 28, 76] Operation: 24+52=76
Moving to Node #0,0
Current State: 76:[28, 24, 79], Operations: ['27+52=79']
Exploring Operation: 28-24=4, Resulting Numbers: [79, 4]
Generated Node #0,0,0: 76:[79, 4] Operation: 28-24=4
Exploring Operation: 79-24=55, Resulting Numbers: [28, 55]
Generated Node #0,0,1: 76:[28, 55] Operation: 79-24=55
Exploring Operation: 28+79=107, Resulting Numbers: [24, 107]
Generated Node #0,0,2: 76:[24, 107] Operation: 28+79=107
Exploring Operation: 79-28=51, Resulting Numbers: [24, 51]
Generated Node #0,0,3: 76:[24, 51] Operation: 79-28=51
Exploring Operation: 28+24=52, Resulting Numbers: [79, 52]
Generated Node #0,0,4: 76:[79, 52] Operation: 28+24=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[79, 4], Operations: ['27+52=79', '28-24=4']
Exploring Operation: 79*4=316, Resulting Numbers: [316]
316,76 unequal: No Solution
Exploring Operation: 79+4=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 79-4=75, Resulting Numbers: [75]
75,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[79, 52], Operations: ['27+52=79', '28+24=52']
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,76 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 76:[24, 51], Operations: ['27+52=79', '79-28=51']
Exploring Operation: 24*51=1224, Resulting Numbers: [1224]
1224,76 unequal: No Solution
Exploring Operation: 24+51=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 51-24=27, Resulting Numbers: [27]
27,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 76:[28, 55], Operations: ['27+52=79', '79-24=55']
Exploring Operation: 28*55=1540, Resulting Numbers: [1540]
1540,76 unequal: No Solution
Exploring Operation: 28+55=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[24, 107], Operations: ['27+52=79', '28+79=107']
Exploring Operation: 24+107=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 24*107=2568, Resulting Numbers: [2568]
2568,76 unequal: No Solution
Exploring Operation: 107-24=83, Resulting Numbers: [83]
83,76 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: 76:[27, 28, 76], Operations: ['24+52=76']
Exploring Operation: 28-27=1, Resulting Numbers: [76, 1]
Generated Node #0,4,0: 76:[76, 1] Operation: 28-27=1
Exploring Operation: 27+76=103, Resulting Numbers: [28, 103]
Generated Node #0,4,1: 76:[28, 103] Operation: 27+76=103
Exploring Operation: 76-27=49, Resulting Numbers: [28, 49]
Generated Node #0,4,2: 76:[28, 49] Operation: 76-27=49
Exploring Operation: 76-28=48, Resulting Numbers: [27, 48]
Generated Node #0,4,3: 76:[27, 48] Operation: 76-28=48
Exploring Operation: 27+28=55, Resulting Numbers: [76, 55]
Generated Node #0,4,4: 76:[76, 55] Operation: 27+28=55
Moving to Node #0,1
Current State: 76:[27, 24, 80], Operations: ['28+52=80']
Exploring Operation: 27+24=51, Resulting Numbers: [80, 51]
Generated Node #0,1,0: 76:[80, 51] Operation: 27+24=51
Exploring Operation: 27+80=107, Resulting Numbers: [24, 107]
Generated Node #0,1,1: 76:[24, 107] Operation: 27+80=107
Exploring Operation: 80-27=53, Resulting Numbers: [24, 53]
Generated Node #0,1,2: 76:[24, 53] Operation: 80-27=53
Exploring Operation: 80-24=56, Resulting Numbers: [27, 56]
Generated Node #0,1,3: 76:[27, 56] Operation: 80-24=56
Exploring Operation: 27-24=3, Resulting Numbers: [80, 3]
Generated Node #0,1,4: 76:[80, 3] Operation: 27-24=3
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 76:[80, 3], Operations: ['28+52=80', '27-24=3']
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,76 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[80, 51], Operations: ['28+52=80', '27+24=51']
Exploring Operation: 80*51=4080, Resulting Numbers: [4080]
4080,76 unequal: No Solution
Exploring Operation: 80+51=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 80-51=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 76:[24, 53], Operations: ['28+52=80', '80-27=53']
Exploring Operation: 24*53=1272, Resulting Numbers: [1272]
1272,76 unequal: No Solution
Exploring Operation: 24+53=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 53-24=29, Resulting Numbers: [29]
29,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 76:[27, 56], Operations: ['28+52=80', '80-24=56']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,76 unequal: No Solution
Exploring Operation: 27*56=1512, Resulting Numbers: [1512]
1512,76 unequal: No Solution
Exploring Operation: 27+56=83, Resulting Numbers: [83]
83,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[24, 107], Operations: ['28+52=80', '27+80=107']
Exploring Operation: 24+107=131, Resulting Numbers: [131]
131,76 unequal: No Solution
Exploring Operation: 107-24=83, Resulting Numbers: [83]
83,76 unequal: No Solution
Exploring Operation: 24*107=2568, Resulting Numbers: [2568]
2568,76 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: 76:[27, 24, 24], Operations: ['52-28=24']
Exploring Operation: 24/24=1, Resulting Numbers: [27, 1]
Generated Node #0,2,0: 76:[27, 1] Operation: 24/24=1
Exploring Operation: 27+24=51, Resulting Numbers: [24, 51]
Generated Node #0,2,1: 76:[24, 51] Operation: 27+24=51
Exploring Operation: 27-24=3, Resulting Numbers: [24, 3]
Generated Node #0,2,2: 76:[24, 3] Operation: 27-24=3
Exploring Operation: 27-24=3, Resulting Numbers: [24, 3]
Generated Node #0,2,3: 76:[24, 3] Operation: 27-24=3
Exploring Operation: 24-24=0, Resulting Numbers: [27, 0]
Generated Node #0,2,4: 76:[27, 0] Operation: 24-24=0
Moving to Node #0,3
Current State: 76:[24, 52, 1], Operations: ['28-27=1']
Exploring Operation: 52-1=51, Resulting Numbers: [24, 51]
Generated Node #0,3,0: 76:[24, 51] Operation: 52-1=51
Exploring Operation: 24+52=76, Resulting Numbers: [1, 76]
Generated Node #0,3,1: 76:[1, 76] Operation: 24+52=76
Exploring Operation: 24*1=24, Resulting Numbers: [52, 24]
Generated Node #0,3,2: 76:[52, 24] Operation: 24*1=24
Exploring Operation: 52-24=28, Resulting Numbers: [1, 28]
Generated Node #0,3,3: 76:[1, 28] Operation: 52-24=28
Exploring Operation: 24-1=23, Resulting Numbers: [52, 23]
Generated Node #0,3,4: 76:[52, 23] Operation: 24-1=23
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[1, 76], Operations: ['28-27=1', '24+52=76']
Exploring Operation: 76-1=75, Resulting Numbers: [75]
75,76 unequal: No Solution
Exploring Operation: 1+76=77, Resulting Numbers: [77]
77,76 unequal: No Solution
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[27, 28, 24, 52], Operations: []
Exploring Operation: 28-27=1, Resulting Numbers: [24, 52, 1]
Generated Node #0,3: 76:[24, 52, 1] Operation: 28-27=1
Moving to Node #0,3
Current State: 76:[24, 52, 1], Operations: ['28-27=1']
Exploring Operation: 24+52=76, Resulting Numbers: [1, 76]
Generated Node #0,3,1: 76:[1, 76] Operation: 24+52=76
Moving to Node #0,3,1
Current State: 76:[1, 76], Operations: ['28-27=1', '24+52=76']
Exploring Operation: 1*76=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.94184 | hs_5 | mult_heuristic |
[
80,
18,
72,
88
] | 12 | [
"88-80=8",
"72/18=4",
"8+4=12"
] | Current State: 12:[80, 18, 72, 88], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [18, 72, 8]
Generated Node #2: [18, 72, 8] from Operation: 88-80=8
Current State: 12:[18, 72, 8], Operations: ['88-80=8']
Exploring Operation: 72/18=4, Resulting Numbers: [8, 4]
Generated Node #3: [8, 4] from Operation: 72/18=4
Current State: 12:[8, 4], Operations: ['88-80=8', '72/18=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[80, 18, 72, 88], Operations: []
Exploring Operation: 88-72=16, Resulting Numbers: [80, 18, 16]
Generated Node #0,0: 12:[80, 18, 16] Operation: 88-72=16
Exploring Operation: 80-72=8, Resulting Numbers: [18, 88, 8]
Generated Node #0,1: 12:[18, 88, 8] Operation: 80-72=8
Exploring Operation: 88-80=8, Resulting Numbers: [18, 72, 8]
Generated Node #0,2: 12:[18, 72, 8] Operation: 88-80=8
Moving to Node #0,2
Current State: 12:[18, 72, 8], Operations: ['88-80=8']
Exploring Operation: 72/18=4, Resulting Numbers: [8, 4]
Generated Node #0,2,0: 12:[8, 4] Operation: 72/18=4
Exploring Operation: 72/8=9, Resulting Numbers: [18, 9]
Generated Node #0,2,1: 12:[18, 9] Operation: 72/8=9
Exploring Operation: 72-18=54, Resulting Numbers: [8, 54]
Generated Node #0,2,2: 12:[8, 54] Operation: 72-18=54
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 12:[8, 4], Operations: ['88-80=8', '72/18=4']
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[80, 18, 72, 88], Operations: []
Exploring Operation: 88-80=8, Resulting Numbers: [18, 72, 8]
Generated Node #0,2: 12:[18, 72, 8] Operation: 88-80=8
Moving to Node #0,2
Current State: 12:[18, 72, 8], Operations: ['88-80=8']
Exploring Operation: 72/18=4, Resulting Numbers: [8, 4]
Generated Node #0,2,0: 12:[8, 4] Operation: 72/18=4
Moving to Node #0,2,0
Current State: 12:[8, 4], Operations: ['88-80=8', '72/18=4']
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
23,
69,
2,
78
] | 85 | [
"23+69=92",
"78+92=170",
"170/2=85"
] | Current State: 85:[23, 69, 2, 78], Operations: []
Exploring Operation: 23+69=92, Resulting Numbers: [2, 78, 92]
Generated Node #2: [2, 78, 92] from Operation: 23+69=92
Current State: 85:[2, 78, 92], Operations: ['23+69=92']
Exploring Operation: 78+92=170, Resulting Numbers: [2, 170]
Generated Node #3: [2, 170] from Operation: 78+92=170
Current State: 85:[2, 170], Operations: ['23+69=92', '78+92=170']
Exploring Operation: 170/2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[23, 69, 2, 78], Operations: []
Exploring Operation: 78-69=9, Resulting Numbers: [23, 2, 9]
Generated Node #0,0: 85:[23, 2, 9] Operation: 78-69=9
Exploring Operation: 69/23=3, Resulting Numbers: [2, 78, 3]
Generated Node #0,1: 85:[2, 78, 3] Operation: 69/23=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[2, 78, 3], Operations: ['69/23=3']
Exploring Operation: 2+78=80, Resulting Numbers: [3, 80]
Generated Node #0,1,0: 85:[3, 80] Operation: 2+78=80
Exploring Operation: 2+3=5, Resulting Numbers: [78, 5]
Generated Node #0,1,1: 85:[78, 5] Operation: 2+3=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 85:[3, 80], Operations: ['69/23=3', '2+78=80']
Exploring Operation: 3+80=83, Resulting Numbers: [83]
83,85 unequal: No Solution
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,85 unequal: No Solution
No 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: 85:[78, 5], Operations: ['69/23=3', '2+3=5']
Exploring Operation: 78-5=73, Resulting Numbers: [73]
73,85 unequal: No Solution
Exploring Operation: 78+5=83, Resulting Numbers: [83]
83,85 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: 85:[23, 2, 9], Operations: ['78-69=9']
Exploring Operation: 2*9=18, Resulting Numbers: [23, 18]
Generated Node #0,0,0: 85:[23, 18] Operation: 2*9=18
Exploring Operation: 23-9=14, Resulting Numbers: [2, 14]
Generated Node #0,0,1: 85:[2, 14] Operation: 23-9=14
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 85:[2, 14], Operations: ['78-69=9', '23-9=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,85 unequal: No Solution
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,85 unequal: No Solution
No 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: 85:[23, 18], Operations: ['78-69=9', '2*9=18']
Exploring Operation: 23+18=41, Resulting Numbers: [41]
41,85 unequal: No Solution
Exploring Operation: 23-18=5, Resulting Numbers: [5]
5,85 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 |
[
67,
48,
81,
13
] | 72 | [
"67-13=54",
"48*81=3888",
"3888/54=72"
] | Current State: 72:[67, 48, 81, 13], Operations: []
Exploring Operation: 67-13=54, Resulting Numbers: [48, 81, 54]
Generated Node #2: [48, 81, 54] from Operation: 67-13=54
Current State: 72:[48, 81, 54], Operations: ['67-13=54']
Exploring Operation: 48*81=3888, Resulting Numbers: [54, 3888]
Generated Node #3: [54, 3888] from Operation: 48*81=3888
Current State: 72:[54, 3888], Operations: ['67-13=54', '48*81=3888']
Exploring Operation: 3888/54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[67, 48, 81, 13], Operations: []
Exploring Operation: 67-48=19, Resulting Numbers: [81, 13, 19]
Generated Node #0,0: 72:[81, 13, 19] Operation: 67-48=19
Exploring Operation: 81-48=33, Resulting Numbers: [67, 13, 33]
Generated Node #0,1: 72:[67, 13, 33] Operation: 81-48=33
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[67, 13, 33], Operations: ['81-48=33']
Exploring Operation: 33-13=20, Resulting Numbers: [67, 20]
Generated Node #0,1,0: 72:[67, 20] Operation: 33-13=20
Exploring Operation: 67-33=34, Resulting Numbers: [13, 34]
Generated Node #0,1,1: 72:[13, 34] Operation: 67-33=34
Moving to Node #0,1,1
Current State: 72:[13, 34], Operations: ['81-48=33', '67-33=34']
Exploring Operation: 13+34=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 34-13=21, Resulting Numbers: [21]
21,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[67, 20], Operations: ['81-48=33', '33-13=20']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 67+20=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
Current State: 72:[81, 13, 19], Operations: ['67-48=19']
Exploring Operation: 19-13=6, Resulting Numbers: [81, 6]
Generated Node #0,0,0: 72:[81, 6] Operation: 19-13=6
Exploring Operation: 81-13=68, Resulting Numbers: [19, 68]
Generated Node #0,0,1: 72:[19, 68] Operation: 81-13=68
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[19, 68], Operations: ['67-48=19', '81-13=68']
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,72 unequal: No Solution
No 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: 72:[81, 6], Operations: ['67-48=19', '19-13=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,72 unequal: No Solution
Exploring Operation: 81-6=75, Resulting Numbers: [75]
75,72 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 |
[
4,
75,
35,
84
] | 76 | [
"75-35=40",
"4*40=160",
"160-84=76"
] | Current State: 76:[4, 75, 35, 84], Operations: []
Exploring Operation: 75-35=40, Resulting Numbers: [4, 84, 40]
Generated Node #2: [4, 84, 40] from Operation: 75-35=40
Current State: 76:[4, 84, 40], Operations: ['75-35=40']
Exploring Operation: 4*40=160, Resulting Numbers: [84, 160]
Generated Node #3: [84, 160] from Operation: 4*40=160
Current State: 76:[84, 160], Operations: ['75-35=40', '4*40=160']
Exploring Operation: 160-84=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[4, 75, 35, 84], Operations: []
Exploring Operation: 84-4=80, Resulting Numbers: [75, 35, 80]
Generated Node #0,0: 76:[75, 35, 80] Operation: 84-4=80
Exploring Operation: 84/4=21, Resulting Numbers: [75, 35, 21]
Generated Node #0,1: 76:[75, 35, 21] Operation: 84/4=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[75, 35, 21], Operations: ['84/4=21']
Exploring Operation: 75-35=40, Resulting Numbers: [21, 40]
Generated Node #0,1,0: 76:[21, 40] Operation: 75-35=40
Exploring Operation: 35-21=14, Resulting Numbers: [75, 14]
Generated Node #0,1,1: 76:[75, 14] Operation: 35-21=14
Moving to Node #0,1,0
Current State: 76:[21, 40], Operations: ['84/4=21', '75-35=40']
Exploring Operation: 21+40=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[75, 14], Operations: ['84/4=21', '35-21=14']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,76 unequal: No Solution
Exploring Operation: 75+14=89, Resulting Numbers: [89]
89,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[75, 35, 80], Operations: ['84-4=80']
Exploring Operation: 80-75=5, Resulting Numbers: [35, 5]
Generated Node #0,0,0: 76:[35, 5] Operation: 80-75=5
Exploring Operation: 75-35=40, Resulting Numbers: [80, 40]
Generated Node #0,0,1: 76:[80, 40] Operation: 75-35=40
Moving to Node #0,0,0
Current State: 76:[35, 5], Operations: ['84-4=80', '80-75=5']
Exploring Operation: 35/5=7, Resulting Numbers: [7]
7,76 unequal: No Solution
Exploring Operation: 35+5=40, Resulting Numbers: [40]
40,76 unequal: No Solution
Moving to Node #0,0,1
Current State: 76:[80, 40], Operations: ['84-4=80', '75-35=40']
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,76 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 |
[
39,
87,
68,
69
] | 72 | [
"68-39=29",
"87/29=3",
"69+3=72"
] | Current State: 72:[39, 87, 68, 69], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [87, 69, 29]
Generated Node #2: [87, 69, 29] from Operation: 68-39=29
Current State: 72:[87, 69, 29], Operations: ['68-39=29']
Exploring Operation: 87/29=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 87/29=3
Current State: 72:[69, 3], Operations: ['68-39=29', '87/29=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 | Current State: 72:[39, 87, 68, 69], Operations: []
Exploring Operation: 87-39=48, Resulting Numbers: [68, 69, 48]
Generated Node #0,0: 72:[68, 69, 48] Operation: 87-39=48
Exploring Operation: 87-68=19, Resulting Numbers: [39, 69, 19]
Generated Node #0,1: 72:[39, 69, 19] Operation: 87-68=19
Exploring Operation: 87-69=18, Resulting Numbers: [39, 68, 18]
Generated Node #0,2: 72:[39, 68, 18] Operation: 87-69=18
Exploring Operation: 68-39=29, Resulting Numbers: [87, 69, 29]
Generated Node #0,3: 72:[87, 69, 29] Operation: 68-39=29
Exploring Operation: 69-68=1, Resulting Numbers: [39, 87, 1]
Generated Node #0,4: 72:[39, 87, 1] Operation: 69-68=1
Moving to Node #0,1
Current State: 72:[39, 69, 19], Operations: ['87-68=19']
Exploring Operation: 69-19=50, Resulting Numbers: [39, 50]
Generated Node #0,1,0: 72:[39, 50] Operation: 69-19=50
Exploring Operation: 69-39=30, Resulting Numbers: [19, 30]
Generated Node #0,1,1: 72:[19, 30] Operation: 69-39=30
Exploring Operation: 39+19=58, Resulting Numbers: [69, 58]
Generated Node #0,1,2: 72:[69, 58] Operation: 39+19=58
Exploring Operation: 69+19=88, Resulting Numbers: [39, 88]
Generated Node #0,1,3: 72:[39, 88] Operation: 69+19=88
Exploring Operation: 39-19=20, Resulting Numbers: [69, 20]
Generated Node #0,1,4: 72:[69, 20] Operation: 39-19=20
Moving to Node #0,2
Current State: 72:[39, 68, 18], Operations: ['87-69=18']
Exploring Operation: 68+18=86, Resulting Numbers: [39, 86]
Generated Node #0,2,0: 72:[39, 86] Operation: 68+18=86
Exploring Operation: 39+18=57, Resulting Numbers: [68, 57]
Generated Node #0,2,1: 72:[68, 57] Operation: 39+18=57
Exploring Operation: 68-18=50, Resulting Numbers: [39, 50]
Generated Node #0,2,2: 72:[39, 50] Operation: 68-18=50
Exploring Operation: 39-18=21, Resulting Numbers: [68, 21]
Generated Node #0,2,3: 72:[68, 21] Operation: 39-18=21
Exploring Operation: 68-39=29, Resulting Numbers: [18, 29]
Generated Node #0,2,4: 72:[18, 29] Operation: 68-39=29
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 72:[18, 29], Operations: ['87-69=18', '68-39=29']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,72 unequal: No Solution
Exploring Operation: 18*29=522, Resulting Numbers: [522]
522,72 unequal: No Solution
Exploring Operation: 18+29=47, Resulting Numbers: [47]
47,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 72:[68, 21], Operations: ['87-69=18', '39-18=21']
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 68*21=1428, Resulting Numbers: [1428]
1428,72 unequal: No Solution
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 72:[39, 86], Operations: ['87-69=18', '68+18=86']
Exploring Operation: 39+86=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 86-39=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 39*86=3354, Resulting Numbers: [3354]
3354,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 72:[39, 50], Operations: ['87-69=18', '68-18=50']
Exploring Operation: 39+50=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 39*50=1950, Resulting Numbers: [1950]
1950,72 unequal: No Solution
Exploring Operation: 50-39=11, Resulting Numbers: [11]
11,72 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 72:[68, 57], Operations: ['87-69=18', '39+18=57']
Exploring Operation: 68+57=125, Resulting Numbers: [125]
125,72 unequal: No Solution
Exploring Operation: 68*57=3876, Resulting Numbers: [3876]
3876,72 unequal: No Solution
Exploring Operation: 68-57=11, Resulting Numbers: [11]
11,72 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: 72:[68, 69, 48], Operations: ['87-39=48']
Exploring Operation: 69-68=1, Resulting Numbers: [48, 1]
Generated Node #0,0,0: 72:[48, 1] Operation: 69-68=1
Exploring Operation: 69+48=117, Resulting Numbers: [68, 117]
Generated Node #0,0,1: 72:[68, 117] Operation: 69+48=117
Exploring Operation: 69-48=21, Resulting Numbers: [68, 21]
Generated Node #0,0,2: 72:[68, 21] Operation: 69-48=21
Exploring Operation: 68+48=116, Resulting Numbers: [69, 116]
Generated Node #0,0,3: 72:[69, 116] Operation: 68+48=116
Exploring Operation: 68-48=20, Resulting Numbers: [69, 20]
Generated Node #0,0,4: 72:[69, 20] Operation: 68-48=20
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 72:[69, 20], Operations: ['87-39=48', '68-48=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 69*20=1380, Resulting Numbers: [1380]
1380,72 unequal: No Solution
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,72 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 #0,0,2
Current State: 72:[68, 21], Operations: ['87-39=48', '69-48=21']
Exploring Operation: 68*21=1428, Resulting Numbers: [1428]
1428,72 unequal: No Solution
Exploring Operation: 68+21=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Exploring Operation: 68-21=47, Resulting Numbers: [47]
47,72 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:[48, 1], Operations: ['87-39=48', '69-68=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,72 unequal: No Solution
Exploring Operation: 48-1=47, Resulting Numbers: [47]
47,72 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:[69, 116], Operations: ['87-39=48', '68+48=116']
Exploring Operation: 116-69=47, Resulting Numbers: [47]
47,72 unequal: No Solution
Exploring Operation: 69*116=8004, Resulting Numbers: [8004]
8004,72 unequal: No Solution
Exploring Operation: 69+116=185, Resulting Numbers: [185]
185,72 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:[68, 117], Operations: ['87-39=48', '69+48=117']
Exploring Operation: 68+117=185, Resulting Numbers: [185]
185,72 unequal: No Solution
Exploring Operation: 117-68=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Exploring Operation: 68*117=7956, Resulting Numbers: [7956]
7956,72 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: 72:[39, 87, 1], Operations: ['69-68=1']
Exploring Operation: 39/1=39, Resulting Numbers: [87, 39]
Generated Node #0,4,0: 72:[87, 39] Operation: 39/1=39
Exploring Operation: 39*1=39, Resulting Numbers: [87, 39]
Generated Node #0,4,1: 72:[87, 39] Operation: 39*1=39
Exploring Operation: 39-1=38, Resulting Numbers: [87, 38]
Generated Node #0,4,2: 72:[87, 38] Operation: 39-1=38
Exploring Operation: 87-1=86, Resulting Numbers: [39, 86]
Generated Node #0,4,3: 72:[39, 86] Operation: 87-1=86
Exploring Operation: 87-39=48, Resulting Numbers: [1, 48]
Generated Node #0,4,4: 72:[1, 48] Operation: 87-39=48
Moving to Node #0,3
Current State: 72:[87, 69, 29], Operations: ['68-39=29']
Exploring Operation: 69-29=40, Resulting Numbers: [87, 40]
Generated Node #0,3,0: 72:[87, 40] Operation: 69-29=40
Exploring Operation: 87-29=58, Resulting Numbers: [69, 58]
Generated Node #0,3,1: 72:[69, 58] Operation: 87-29=58
Exploring Operation: 69+29=98, Resulting Numbers: [87, 98]
Generated Node #0,3,2: 72:[87, 98] Operation: 69+29=98
Exploring Operation: 87-69=18, Resulting Numbers: [29, 18]
Generated Node #0,3,3: 72:[29, 18] Operation: 87-69=18
Exploring Operation: 87/29=3, Resulting Numbers: [69, 3]
Generated Node #0,3,4: 72:[69, 3] Operation: 87/29=3
Moving to Node #0,3,4
Current State: 72:[69, 3], Operations: ['68-39=29', '87/29=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 69/3=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
Moving to Node #0
Current State: 72:[39, 87, 68, 69], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [87, 69, 29]
Generated Node #0,3: 72:[87, 69, 29] Operation: 68-39=29
Moving to Node #0,3
Current State: 72:[87, 69, 29], Operations: ['68-39=29']
Exploring Operation: 87/29=3, Resulting Numbers: [69, 3]
Generated Node #0,3,4: 72:[69, 3] Operation: 87/29=3
Moving to Node #0,3,4
Current State: 72:[69, 3], Operations: ['68-39=29', '87/29=3']
Exploring Operation: 69+3=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
24,
19,
2,
31
] | 19 | [
"24+19=43",
"2*31=62",
"62-43=19"
] | Current State: 19:[24, 19, 2, 31], Operations: []
Exploring Operation: 24+19=43, Resulting Numbers: [2, 31, 43]
Generated Node #2: [2, 31, 43] from Operation: 24+19=43
Current State: 19:[2, 31, 43], Operations: ['24+19=43']
Exploring Operation: 2*31=62, Resulting Numbers: [43, 62]
Generated Node #3: [43, 62] from Operation: 2*31=62
Current State: 19:[43, 62], Operations: ['24+19=43', '2*31=62']
Exploring Operation: 62-43=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[24, 19, 2, 31], Operations: []
Exploring Operation: 31-2=29, Resulting Numbers: [24, 19, 29]
Generated Node #0,0: 19:[24, 19, 29] Operation: 31-2=29
Exploring Operation: 24+2=26, Resulting Numbers: [19, 31, 26]
Generated Node #0,1: 19:[19, 31, 26] Operation: 24+2=26
Exploring Operation: 24/2=12, Resulting Numbers: [19, 31, 12]
Generated Node #0,2: 19:[19, 31, 12] Operation: 24/2=12
Exploring Operation: 24-2=22, Resulting Numbers: [19, 31, 22]
Generated Node #0,3: 19:[19, 31, 22] Operation: 24-2=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[24, 19, 29], Operations: ['31-2=29']
Exploring Operation: 24-19=5, Resulting Numbers: [29, 5]
Generated Node #0,0,0: 19:[29, 5] Operation: 24-19=5
Exploring Operation: 24+19=43, Resulting Numbers: [29, 43]
Generated Node #0,0,1: 19:[29, 43] Operation: 24+19=43
Exploring Operation: 29-24=5, Resulting Numbers: [19, 5]
Generated Node #0,0,2: 19:[19, 5] Operation: 29-24=5
Exploring Operation: 29-19=10, Resulting Numbers: [24, 10]
Generated Node #0,0,3: 19:[24, 10] Operation: 29-19=10
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 19:[19, 5], Operations: ['31-2=29', '29-24=5']
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,19 unequal: No Solution
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No 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: 19:[24, 10], Operations: ['31-2=29', '29-19=10']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 24+10=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 24*10=240, Resulting Numbers: [240]
240,19 unequal: No Solution
No 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: 19:[29, 5], Operations: ['31-2=29', '24-19=5']
Exploring Operation: 29+5=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 29-5=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 29*5=145, Resulting Numbers: [145]
145,19 unequal: No Solution
No 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: 19:[29, 43], Operations: ['31-2=29', '24+19=43']
Exploring Operation: 29+43=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 29*43=1247, Resulting Numbers: [1247]
1247,19 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
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[19, 31, 22], Operations: ['24-2=22']
Exploring Operation: 22-19=3, Resulting Numbers: [31, 3]
Generated Node #0,3,0: 19:[31, 3] Operation: 22-19=3
Exploring Operation: 31-22=9, Resulting Numbers: [19, 9]
Generated Node #0,3,1: 19:[19, 9] Operation: 31-22=9
Exploring Operation: 19+31=50, Resulting Numbers: [22, 50]
Generated Node #0,3,2: 19:[22, 50] Operation: 19+31=50
Exploring Operation: 31-19=12, Resulting Numbers: [22, 12]
Generated Node #0,3,3: 19:[22, 12] Operation: 31-19=12
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 19:[19, 9], Operations: ['24-2=22', '31-22=9']
Exploring Operation: 19+9=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 19*9=171, Resulting Numbers: [171]
171,19 unequal: No Solution
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,19 unequal: No Solution
No 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: 19:[22, 12], Operations: ['24-2=22', '31-19=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,19 unequal: No Solution
Exploring Operation: 22*12=264, Resulting Numbers: [264]
264,19 unequal: No Solution
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,19 unequal: No Solution
No 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: 19:[31, 3], Operations: ['24-2=22', '22-19=3']
Exploring Operation: 31+3=34, Resulting Numbers: [34]
34,19 unequal: No Solution
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,19 unequal: No Solution
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,19 unequal: No Solution
No 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: 19:[22, 50], Operations: ['24-2=22', '19+31=50']
Exploring Operation: 22*50=1100, Resulting Numbers: [1100]
1100,19 unequal: No Solution
Exploring Operation: 22+50=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,19 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
Start Sub Search at level 1: Moving to Node #0,1
Current State: 19:[19, 31, 26], Operations: ['24+2=26']
Exploring Operation: 31-19=12, Resulting Numbers: [26, 12]
Generated Node #0,1,0: 19:[26, 12] Operation: 31-19=12
Exploring Operation: 31-26=5, Resulting Numbers: [19, 5]
Generated Node #0,1,1: 19:[19, 5] Operation: 31-26=5
Exploring Operation: 19+31=50, Resulting Numbers: [26, 50]
Generated Node #0,1,2: 19:[26, 50] Operation: 19+31=50
Exploring Operation: 26-19=7, Resulting Numbers: [31, 7]
Generated Node #0,1,3: 19:[31, 7] Operation: 26-19=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 19:[26, 12], Operations: ['24+2=26', '31-19=12']
Exploring Operation: 26+12=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 26*12=312, Resulting Numbers: [312]
312,19 unequal: No Solution
No 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: 19:[19, 5], Operations: ['24+2=26', '31-26=5']
Exploring Operation: 19+5=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 19-5=14, Resulting Numbers: [14]
14,19 unequal: No Solution
Exploring Operation: 19*5=95, Resulting Numbers: [95]
95,19 unequal: No Solution
No 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: 19:[31, 7], Operations: ['24+2=26', '26-19=7']
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,19 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,19 unequal: No Solution
No 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: 19:[26, 50], Operations: ['24+2=26', '19+31=50']
Exploring Operation: 26*50=1300, Resulting Numbers: [1300]
1300,19 unequal: No Solution
Exploring Operation: 50-26=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 26+50=76, Resulting Numbers: [76]
76,19 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
Start Sub Search at level 1: Moving to Node #0,2
Current State: 19:[19, 31, 12], Operations: ['24/2=12']
Exploring Operation: 19+12=31, Resulting Numbers: [31, 31]
Generated Node #0,2,0: 19:[31, 31] Operation: 19+12=31
Exploring Operation: 31-12=19, Resulting Numbers: [19, 19]
Generated Node #0,2,1: 19:[19, 19] Operation: 31-12=19
Exploring Operation: 19-12=7, Resulting Numbers: [31, 7]
Generated Node #0,2,2: 19:[31, 7] Operation: 19-12=7
Exploring Operation: 31-19=12, Resulting Numbers: [12, 12]
Generated Node #0,2,3: 19:[12, 12] Operation: 31-19=12
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 19:[19, 19], Operations: ['24/2=12', '31-12=19']
Exploring Operation: 19+19=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 19-19=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 19*19=361, Resulting Numbers: [361]
361,19 unequal: No Solution
Exploring Operation: 19/19=1, Resulting Numbers: [1]
1,19 unequal: No Solution
No 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: 19:[12, 12], Operations: ['24/2=12', '31-19=12']
Exploring Operation: 12-12=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,19 unequal: No Solution
Exploring Operation: 12*12=144, Resulting Numbers: [144]
144,19 unequal: No Solution
No 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: 19:[31, 31], Operations: ['24/2=12', '19+12=31']
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,19 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,19 unequal: No Solution
No 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: 19:[31, 7], Operations: ['24/2=12', '19-12=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,19 unequal: No Solution
Exploring Operation: 31*7=217, Resulting Numbers: [217]
217,19 unequal: No Solution
Exploring Operation: 31-7=24, Resulting Numbers: [24]
24,19 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_4 | sum_heuristic |
[
28,
84,
76,
92
] | 56 | [
"28+84=112",
"76+92=168",
"168-112=56"
] | Current State: 56:[28, 84, 76, 92], Operations: []
Exploring Operation: 28+84=112, Resulting Numbers: [76, 92, 112]
Generated Node #2: [76, 92, 112] from Operation: 28+84=112
Current State: 56:[76, 92, 112], Operations: ['28+84=112']
Exploring Operation: 76+92=168, Resulting Numbers: [112, 168]
Generated Node #3: [112, 168] from Operation: 76+92=168
Current State: 56:[112, 168], Operations: ['28+84=112', '76+92=168']
Exploring Operation: 168-112=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[28, 84, 76, 92], Operations: []
Exploring Operation: 92-76=16, Resulting Numbers: [28, 84, 16]
Generated Node #0,0: 56:[28, 84, 16] Operation: 92-76=16
Exploring Operation: 92-28=64, Resulting Numbers: [84, 76, 64]
Generated Node #0,1: 56:[84, 76, 64] Operation: 92-28=64
Exploring Operation: 84-76=8, Resulting Numbers: [28, 92, 8]
Generated Node #0,2: 56:[28, 92, 8] Operation: 84-76=8
Exploring Operation: 84-28=56, Resulting Numbers: [76, 92, 56]
Generated Node #0,3: 56:[76, 92, 56] Operation: 84-28=56
Exploring Operation: 92-84=8, Resulting Numbers: [28, 76, 8]
Generated Node #0,4: 56:[28, 76, 8] Operation: 92-84=8
Moving to Node #0,4
Current State: 56:[28, 76, 8], Operations: ['92-84=8']
Exploring Operation: 76-28=48, Resulting Numbers: [8, 48]
Generated Node #0,4,0: 56:[8, 48] Operation: 76-28=48
Exploring Operation: 76+8=84, Resulting Numbers: [28, 84]
Generated Node #0,4,1: 56:[28, 84] Operation: 76+8=84
Exploring Operation: 28-8=20, Resulting Numbers: [76, 20]
Generated Node #0,4,2: 56:[76, 20] Operation: 28-8=20
Exploring Operation: 76-8=68, Resulting Numbers: [28, 68]
Generated Node #0,4,3: 56:[28, 68] Operation: 76-8=68
Exploring Operation: 28+8=36, Resulting Numbers: [76, 36]
Generated Node #0,4,4: 56:[76, 36] Operation: 28+8=36
Moving to Node #0,0
Current State: 56:[28, 84, 16], Operations: ['92-76=16']
Exploring Operation: 28+16=44, Resulting Numbers: [84, 44]
Generated Node #0,0,0: 56:[84, 44] Operation: 28+16=44
Exploring Operation: 84-28=56, Resulting Numbers: [16, 56]
Generated Node #0,0,1: 56:[16, 56] Operation: 84-28=56
Exploring Operation: 28-16=12, Resulting Numbers: [84, 12]
Generated Node #0,0,2: 56:[84, 12] Operation: 28-16=12
Exploring Operation: 84/28=3, Resulting Numbers: [16, 3]
Generated Node #0,0,3: 56:[16, 3] Operation: 84/28=3
Exploring Operation: 84-16=68, Resulting Numbers: [28, 68]
Generated Node #0,0,4: 56:[28, 68] Operation: 84-16=68
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[16, 56], Operations: ['92-76=16', '84-28=56']
Exploring Operation: 16+56=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 56-16=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 16*56=896, Resulting Numbers: [896]
896,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 56:[16, 3], Operations: ['92-76=16', '84/28=3']
Exploring Operation: 16+3=19, Resulting Numbers: [19]
19,56 unequal: No Solution
Exploring Operation: 16*3=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,56 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 #0,0,4
Current State: 56:[28, 68], Operations: ['92-76=16', '84-16=68']
Exploring Operation: 28+68=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 28*68=1904, Resulting Numbers: [1904]
1904,56 unequal: No Solution
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[84, 12], Operations: ['92-76=16', '28-16=12']
Exploring Operation: 84+12=96, Resulting Numbers: [96]
96,56 unequal: No Solution
Exploring Operation: 84*12=1008, Resulting Numbers: [1008]
1008,56 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[84, 44], Operations: ['92-76=16', '28+16=44']
Exploring Operation: 84-44=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 84+44=128, Resulting Numbers: [128]
128,56 unequal: No Solution
Exploring Operation: 84*44=3696, Resulting Numbers: [3696]
3696,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 56:[28, 92, 8], Operations: ['84-76=8']
Exploring Operation: 92-28=64, Resulting Numbers: [8, 64]
Generated Node #0,2,0: 56:[8, 64] Operation: 92-28=64
Exploring Operation: 28+8=36, Resulting Numbers: [92, 36]
Generated Node #0,2,1: 56:[92, 36] Operation: 28+8=36
Exploring Operation: 92+8=100, Resulting Numbers: [28, 100]
Generated Node #0,2,2: 56:[28, 100] Operation: 92+8=100
Exploring Operation: 28-8=20, Resulting Numbers: [92, 20]
Generated Node #0,2,3: 56:[92, 20] Operation: 28-8=20
Exploring Operation: 92-8=84, Resulting Numbers: [28, 84]
Generated Node #0,2,4: 56:[28, 84] Operation: 92-8=84
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[8, 64], Operations: ['84-76=8', '92-28=64']
Exploring Operation: 64/8=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[28, 84, 76, 92], Operations: []
Exploring Operation: 84-76=8, Resulting Numbers: [28, 92, 8]
Generated Node #0,2: 56:[28, 92, 8] Operation: 84-76=8
Moving to Node #0,2
Current State: 56:[28, 92, 8], Operations: ['84-76=8']
Exploring Operation: 92-28=64, Resulting Numbers: [8, 64]
Generated Node #0,2,0: 56:[8, 64] Operation: 92-28=64
Moving to Node #0,2,0
Current State: 56:[8, 64], Operations: ['84-76=8', '92-28=64']
Exploring Operation: 64-8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 1
| 0.963542 | hs_5 | mult_heuristic |
[
76,
54,
46,
28
] | 27 | [
"76-46=30",
"30-28=2",
"54/2=27"
] | Current State: 27:[76, 54, 46, 28], Operations: []
Exploring Operation: 76-46=30, Resulting Numbers: [54, 28, 30]
Generated Node #2: [54, 28, 30] from Operation: 76-46=30
Current State: 27:[54, 28, 30], Operations: ['76-46=30']
Exploring Operation: 30-28=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 30-28=2
Current State: 27:[54, 2], Operations: ['76-46=30', '30-28=2']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[76, 54, 46, 28], Operations: []
Exploring Operation: 76-54=22, Resulting Numbers: [46, 28, 22]
Generated Node #0,0: 27:[46, 28, 22] Operation: 76-54=22
Moving to Node #0,0
Current State: 27:[46, 28, 22], Operations: ['76-54=22']
Exploring Operation: 46-22=24, Resulting Numbers: [28, 24]
Generated Node #0,0,0: 27:[28, 24] Operation: 46-22=24
Moving to Node #0,0,0
Current State: 27:[28, 24], Operations: ['76-54=22', '46-22=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,27 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
10,
99,
49
] | 11 | [
"2*49=98",
"10+99=109",
"109-98=11"
] | Current State: 11:[2, 10, 99, 49], Operations: []
Exploring Operation: 2*49=98, Resulting Numbers: [10, 99, 98]
Generated Node #2: [10, 99, 98] from Operation: 2*49=98
Current State: 11:[10, 99, 98], Operations: ['2*49=98']
Exploring Operation: 10+99=109, Resulting Numbers: [98, 109]
Generated Node #3: [98, 109] from Operation: 10+99=109
Current State: 11:[98, 109], Operations: ['2*49=98', '10+99=109']
Exploring Operation: 109-98=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 | Current State: 11:[2, 10, 99, 49], Operations: []
Exploring Operation: 99-2=97, Resulting Numbers: [10, 49, 97]
Generated Node #0,0: 11:[10, 49, 97] Operation: 99-2=97
Exploring Operation: 99-49=50, Resulting Numbers: [2, 10, 50]
Generated Node #0,1: 11:[2, 10, 50] Operation: 99-49=50
Exploring Operation: 49-2=47, Resulting Numbers: [10, 99, 47]
Generated Node #0,2: 11:[10, 99, 47] Operation: 49-2=47
Moving to Node #0,1
Current State: 11:[2, 10, 50], Operations: ['99-49=50']
Exploring Operation: 50-2=48, Resulting Numbers: [10, 48]
Generated Node #0,1,0: 11:[10, 48] Operation: 50-2=48
Exploring Operation: 50/2=25, Resulting Numbers: [10, 25]
Generated Node #0,1,1: 11:[10, 25] Operation: 50/2=25
Exploring Operation: 50/10=5, Resulting Numbers: [2, 5]
Generated Node #0,1,2: 11:[2, 5] Operation: 50/10=5
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 11:[10, 25], Operations: ['99-49=50', '50/2=25']
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,11 unequal: No Solution
Exploring Operation: 10*25=250, Resulting Numbers: [250]
250,11 unequal: No Solution
Exploring Operation: 10+25=35, Resulting Numbers: [35]
35,11 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:[2, 5], Operations: ['99-49=50', '50/10=5']
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,11 unequal: No Solution
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,11 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,11 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:[10, 48], Operations: ['99-49=50', '50-2=48']
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,11 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,11 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: 11:[10, 49, 97], Operations: ['99-2=97']
Exploring Operation: 97-10=87, Resulting Numbers: [49, 87]
Generated Node #0,0,0: 11:[49, 87] Operation: 97-10=87
Exploring Operation: 97-49=48, Resulting Numbers: [10, 48]
Generated Node #0,0,1: 11:[10, 48] Operation: 97-49=48
Exploring Operation: 49-10=39, Resulting Numbers: [97, 39]
Generated Node #0,0,2: 11:[97, 39] Operation: 49-10=39
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 11:[10, 48], Operations: ['99-2=97', '97-49=48']
Exploring Operation: 10*48=480, Resulting Numbers: [480]
480,11 unequal: No Solution
Exploring Operation: 10+48=58, Resulting Numbers: [58]
58,11 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,11 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:[49, 87], Operations: ['99-2=97', '97-10=87']
Exploring Operation: 87-49=38, Resulting Numbers: [38]
38,11 unequal: No Solution
Exploring Operation: 49+87=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Exploring Operation: 49*87=4263, Resulting Numbers: [4263]
4263,11 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:[97, 39], Operations: ['99-2=97', '49-10=39']
Exploring Operation: 97+39=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Exploring Operation: 97*39=3783, Resulting Numbers: [3783]
3783,11 unequal: No Solution
Exploring Operation: 97-39=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 #0,2
Current State: 11:[10, 99, 47], Operations: ['49-2=47']
Exploring Operation: 99-47=52, Resulting Numbers: [10, 52]
Generated Node #0,2,0: 11:[10, 52] Operation: 99-47=52
Exploring Operation: 99-10=89, Resulting Numbers: [47, 89]
Generated Node #0,2,1: 11:[47, 89] Operation: 99-10=89
Exploring Operation: 47-10=37, Resulting Numbers: [99, 37]
Generated Node #0,2,2: 11:[99, 37] Operation: 47-10=37
Moving to Node #0,2,0
Current State: 11:[10, 52], Operations: ['49-2=47', '99-47=52']
Exploring Operation: 52-10=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 10+52=62, Resulting Numbers: [62]
62,11 unequal: No Solution
Exploring Operation: 10*52=520, Resulting Numbers: [520]
520,11 unequal: No Solution
Moving to Node #0,2,1
Current State: 11:[47, 89], Operations: ['49-2=47', '99-10=89']
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,11 unequal: No Solution
Exploring Operation: 47*89=4183, Resulting Numbers: [4183]
4183,11 unequal: No Solution
Exploring Operation: 47+89=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Moving to Node #0,2,2
Current State: 11:[99, 37], Operations: ['49-2=47', '47-10=37']
Exploring Operation: 99+37=136, Resulting Numbers: [136]
136,11 unequal: No Solution
Exploring Operation: 99*37=3663, Resulting Numbers: [3663]
3663,11 unequal: No Solution
Exploring Operation: 99-37=62, Resulting Numbers: [62]
62,11 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
1,
66,
10,
12
] | 67 | [
"66-1=65",
"12-10=2",
"65+2=67"
] | Current State: 67:[1, 66, 10, 12], Operations: []
Exploring Operation: 66-1=65, Resulting Numbers: [10, 12, 65]
Generated Node #2: [10, 12, 65] from Operation: 66-1=65
Current State: 67:[10, 12, 65], Operations: ['66-1=65']
Exploring Operation: 12-10=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 12-10=2
Current State: 67:[65, 2], Operations: ['66-1=65', '12-10=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[1, 66, 10, 12], Operations: []
Exploring Operation: 1+66=67, Resulting Numbers: [10, 12, 67]
Generated Node #0,0: 67:[10, 12, 67] Operation: 1+66=67
Exploring Operation: 10+12=22, Resulting Numbers: [1, 66, 22]
Generated Node #0,1: 67:[1, 66, 22] Operation: 10+12=22
Exploring Operation: 1+12=13, Resulting Numbers: [66, 10, 13]
Generated Node #0,2: 67:[66, 10, 13] Operation: 1+12=13
Exploring Operation: 1+10=11, Resulting Numbers: [66, 12, 11]
Generated Node #0,3: 67:[66, 12, 11] Operation: 1+10=11
Exploring Operation: 1*66=66, Resulting Numbers: [10, 12, 66]
Generated Node #0,4: 67:[10, 12, 66] Operation: 1*66=66
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[10, 12, 67], Operations: ['1+66=67']
Exploring Operation: 67-10=57, Resulting Numbers: [12, 57]
Generated Node #0,0,0: 67:[12, 57] Operation: 67-10=57
Exploring Operation: 10+67=77, Resulting Numbers: [12, 77]
Generated Node #0,0,1: 67:[12, 77] Operation: 10+67=77
Exploring Operation: 10+12=22, Resulting Numbers: [67, 22]
Generated Node #0,0,2: 67:[67, 22] Operation: 10+12=22
Exploring Operation: 10*12=120, Resulting Numbers: [67, 120]
Generated Node #0,0,3: 67:[67, 120] Operation: 10*12=120
Exploring Operation: 12-10=2, Resulting Numbers: [67, 2]
Generated Node #0,0,4: 67:[67, 2] Operation: 12-10=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 67:[67, 22], Operations: ['1+66=67', '10+12=22']
Exploring Operation: 67*22=1474, Resulting Numbers: [1474]
1474,67 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 67+22=89, Resulting Numbers: [89]
89,67 unequal: No Solution
No 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: 67:[67, 120], Operations: ['1+66=67', '10*12=120']
Exploring Operation: 67+120=187, Resulting Numbers: [187]
187,67 unequal: No Solution
Exploring Operation: 120-67=53, Resulting Numbers: [53]
53,67 unequal: No Solution
Exploring Operation: 67*120=8040, Resulting Numbers: [8040]
8040,67 unequal: No Solution
No 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: 67:[12, 57], Operations: ['1+66=67', '67-10=57']
Exploring Operation: 12+57=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 57-12=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 12*57=684, Resulting Numbers: [684]
684,67 unequal: No Solution
No 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: 67:[12, 77], Operations: ['1+66=67', '10+67=77']
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,67 unequal: No Solution
No 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: 67:[67, 2], Operations: ['1+66=67', '12-10=2']
Exploring Operation: 67+2=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 67-2=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 67*2=134, Resulting Numbers: [134]
134,67 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: 67:[1, 66, 22], Operations: ['10+12=22']
Exploring Operation: 1*22=22, Resulting Numbers: [66, 22]
Generated Node #0,1,0: 67:[66, 22] Operation: 1*22=22
Exploring Operation: 66/1=66, Resulting Numbers: [22, 66]
Generated Node #0,1,1: 67:[22, 66] Operation: 66/1=66
Exploring Operation: 1+66=67, Resulting Numbers: [22, 67]
Generated Node #0,1,2: 67:[22, 67] Operation: 1+66=67
Exploring Operation: 1*66=66, Resulting Numbers: [22, 66]
Generated Node #0,1,3: 67:[22, 66] Operation: 1*66=66
Exploring Operation: 1+22=23, Resulting Numbers: [66, 23]
Generated Node #0,1,4: 67:[66, 23] Operation: 1+22=23
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 67:[22, 67], Operations: ['10+12=22', '1+66=67']
Exploring Operation: 22*67=1474, Resulting Numbers: [1474]
1474,67 unequal: No Solution
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,67 unequal: No Solution
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,67 unequal: No Solution
No 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: 67:[66, 23], Operations: ['10+12=22', '1+22=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,67 unequal: No Solution
No 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: 67:[66, 22], Operations: ['10+12=22', '1*22=22']
Exploring Operation: 66*22=1452, Resulting Numbers: [1452]
1452,67 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 66+22=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,67 unequal: No Solution
No 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: 67:[22, 66], Operations: ['10+12=22', '66/1=66']
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 22*66=1452, Resulting Numbers: [1452]
1452,67 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,67 unequal: No Solution
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,67 unequal: No Solution
No 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: 67:[22, 66], Operations: ['10+12=22', '1*66=66']
Exploring Operation: 66-22=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 22+66=88, Resulting Numbers: [88]
88,67 unequal: No Solution
Exploring Operation: 22*66=1452, Resulting Numbers: [1452]
1452,67 unequal: No Solution
Exploring Operation: 66/22=3, Resulting Numbers: [3]
3,67 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: 67:[66, 10, 13], Operations: ['1+12=13']
Exploring Operation: 10*13=130, Resulting Numbers: [66, 130]
Generated Node #0,2,0: 67:[66, 130] Operation: 10*13=130
Exploring Operation: 66-10=56, Resulting Numbers: [13, 56]
Generated Node #0,2,1: 67:[13, 56] Operation: 66-10=56
Exploring Operation: 10+13=23, Resulting Numbers: [66, 23]
Generated Node #0,2,2: 67:[66, 23] Operation: 10+13=23
Exploring Operation: 13-10=3, Resulting Numbers: [66, 3]
Generated Node #0,2,3: 67:[66, 3] Operation: 13-10=3
Exploring Operation: 66+10=76, Resulting Numbers: [13, 76]
Generated Node #0,2,4: 67:[13, 76] Operation: 66+10=76
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 67:[66, 23], Operations: ['1+12=13', '10+13=23']
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,67 unequal: No Solution
No 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: 67:[13, 76], Operations: ['1+12=13', '66+10=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 13*76=988, Resulting Numbers: [988]
988,67 unequal: No Solution
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,67 unequal: No Solution
No 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: 67:[66, 130], Operations: ['1+12=13', '10*13=130']
Exploring Operation: 66*130=8580, Resulting Numbers: [8580]
8580,67 unequal: No Solution
Exploring Operation: 66+130=196, Resulting Numbers: [196]
196,67 unequal: No Solution
Exploring Operation: 130-66=64, Resulting Numbers: [64]
64,67 unequal: No Solution
No 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: 67:[13, 56], Operations: ['1+12=13', '66-10=56']
Exploring Operation: 56-13=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 13+56=69, Resulting Numbers: [69]
69,67 unequal: No Solution
Exploring Operation: 13*56=728, Resulting Numbers: [728]
728,67 unequal: No Solution
No 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: 67:[66, 3], Operations: ['1+12=13', '13-10=3']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,67 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,67 unequal: No Solution
Exploring Operation: 66*3=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,67 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: 67:[66, 12, 11], Operations: ['1+10=11']
Exploring Operation: 66+11=77, Resulting Numbers: [12, 77]
Generated Node #0,3,0: 67:[12, 77] Operation: 66+11=77
Exploring Operation: 12*11=132, Resulting Numbers: [66, 132]
Generated Node #0,3,1: 67:[66, 132] Operation: 12*11=132
Exploring Operation: 12+11=23, Resulting Numbers: [66, 23]
Generated Node #0,3,2: 67:[66, 23] Operation: 12+11=23
Exploring Operation: 66+12=78, Resulting Numbers: [11, 78]
Generated Node #0,3,3: 67:[11, 78] Operation: 66+12=78
Exploring Operation: 66-11=55, Resulting Numbers: [12, 55]
Generated Node #0,3,4: 67:[12, 55] Operation: 66-11=55
Moving to Node #0,3,2
Current State: 67:[66, 23], Operations: ['1+10=11', '12+11=23']
Exploring Operation: 66+23=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Exploring Operation: 66-23=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 66*23=1518, Resulting Numbers: [1518]
1518,67 unequal: No Solution
Moving to Node #0,3,0
Current State: 67:[12, 77], Operations: ['1+10=11', '66+11=77']
Exploring Operation: 12*77=924, Resulting Numbers: [924]
924,67 unequal: No Solution
Exploring Operation: 77-12=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Exploring Operation: 12+77=89, Resulting Numbers: [89]
89,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[66, 132], Operations: ['1+10=11', '12*11=132']
Exploring Operation: 66+132=198, Resulting Numbers: [198]
198,67 unequal: No Solution
Exploring Operation: 132-66=66, Resulting Numbers: [66]
66,67 unequal: No Solution
Exploring Operation: 66*132=8712, Resulting Numbers: [8712]
8712,67 unequal: No Solution
Exploring Operation: 132/66=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Moving to Node #0,3,3
Current State: 67:[11, 78], Operations: ['1+10=11', '66+12=78']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[1, 66, 10, 12], Operations: []
Exploring Operation: 1+10=11, Resulting Numbers: [66, 12, 11]
Generated Node #0,3: 67:[66, 12, 11] Operation: 1+10=11
Moving to Node #0,3
Current State: 67:[66, 12, 11], Operations: ['1+10=11']
Exploring Operation: 66+12=78, Resulting Numbers: [11, 78]
Generated Node #0,3,3: 67:[11, 78] Operation: 66+12=78
Moving to Node #0,3,3
Current State: 67:[11, 78], Operations: ['1+10=11', '66+12=78']
Exploring Operation: 78-11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 1
| 0.922743 | hs_5 | sum_heuristic |
[
67,
15,
54,
60
] | 52 | [
"67-54=13",
"60/15=4",
"13*4=52"
] | Current State: 52:[67, 15, 54, 60], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [15, 60, 13]
Generated Node #2: [15, 60, 13] from Operation: 67-54=13
Current State: 52:[15, 60, 13], Operations: ['67-54=13']
Exploring Operation: 60/15=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 60/15=4
Current State: 52:[13, 4], Operations: ['67-54=13', '60/15=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[67, 15, 54, 60], Operations: []
Exploring Operation: 67-15=52, Resulting Numbers: [54, 60, 52]
Generated Node #0,0: 52:[54, 60, 52] Operation: 67-15=52
Exploring Operation: 67-60=7, Resulting Numbers: [15, 54, 7]
Generated Node #0,1: 52:[15, 54, 7] Operation: 67-60=7
Exploring Operation: 67-54=13, Resulting Numbers: [15, 60, 13]
Generated Node #0,2: 52:[15, 60, 13] Operation: 67-54=13
Exploring Operation: 60/15=4, Resulting Numbers: [67, 54, 4]
Generated Node #0,3: 52:[67, 54, 4] Operation: 60/15=4
Moving to Node #0,1
Current State: 52:[15, 54, 7], Operations: ['67-60=7']
Exploring Operation: 54-7=47, Resulting Numbers: [15, 47]
Generated Node #0,1,0: 52:[15, 47] Operation: 54-7=47
Exploring Operation: 15-7=8, Resulting Numbers: [54, 8]
Generated Node #0,1,1: 52:[54, 8] Operation: 15-7=8
Exploring Operation: 15+7=22, Resulting Numbers: [54, 22]
Generated Node #0,1,2: 52:[54, 22] Operation: 15+7=22
Exploring Operation: 54+7=61, Resulting Numbers: [15, 61]
Generated Node #0,1,3: 52:[15, 61] Operation: 54+7=61
Moving to Node #0,2
Current State: 52:[15, 60, 13], Operations: ['67-54=13']
Exploring Operation: 60-15=45, Resulting Numbers: [13, 45]
Generated Node #0,2,0: 52:[13, 45] Operation: 60-15=45
Exploring Operation: 60-13=47, Resulting Numbers: [15, 47]
Generated Node #0,2,1: 52:[15, 47] Operation: 60-13=47
Exploring Operation: 60/15=4, Resulting Numbers: [13, 4]
Generated Node #0,2,2: 52:[13, 4] Operation: 60/15=4
Exploring Operation: 15-13=2, Resulting Numbers: [60, 2]
Generated Node #0,2,3: 52:[60, 2] Operation: 15-13=2
Moving to Node #0,0
Current State: 52:[54, 60, 52], Operations: ['67-15=52']
Exploring Operation: 60-54=6, Resulting Numbers: [52, 6]
Generated Node #0,0,0: 52:[52, 6] Operation: 60-54=6
Exploring Operation: 54-52=2, Resulting Numbers: [60, 2]
Generated Node #0,0,1: 52:[60, 2] Operation: 54-52=2
Exploring Operation: 60-52=8, Resulting Numbers: [54, 8]
Generated Node #0,0,2: 52:[54, 8] Operation: 60-52=8
Exploring Operation: 54+60=114, Resulting Numbers: [52, 114]
Generated Node #0,0,3: 52:[52, 114] Operation: 54+60=114
Moving to Node #0,3
Current State: 52:[67, 54, 4], Operations: ['60/15=4']
Exploring Operation: 67-4=63, Resulting Numbers: [54, 63]
Generated Node #0,3,0: 52:[54, 63] Operation: 67-4=63
Exploring Operation: 67+4=71, Resulting Numbers: [54, 71]
Generated Node #0,3,1: 52:[54, 71] Operation: 67+4=71
Exploring Operation: 54-4=50, Resulting Numbers: [67, 50]
Generated Node #0,3,2: 52:[67, 50] Operation: 54-4=50
Exploring Operation: 67-54=13, Resulting Numbers: [4, 13]
Generated Node #0,3,3: 52:[4, 13] Operation: 67-54=13
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 52:[4, 13], Operations: ['60/15=4', '67-54=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,52 unequal: No Solution
Exploring Operation: 13-4=9, Resulting Numbers: [9]
9,52 unequal: No Solution
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[67, 15, 54, 60], Operations: []
Exploring Operation: 60/15=4, Resulting Numbers: [67, 54, 4]
Generated Node #0,3: 52:[67, 54, 4] Operation: 60/15=4
Moving to Node #0,3
Current State: 52:[67, 54, 4], Operations: ['60/15=4']
Exploring Operation: 67-54=13, Resulting Numbers: [4, 13]
Generated Node #0,3,3: 52:[4, 13] Operation: 67-54=13
Moving to Node #0,3,3
Current State: 52:[4, 13], Operations: ['60/15=4', '67-54=13']
Exploring Operation: 4*13=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.976563 | hs_4 | sum_heuristic |
[
59,
98,
78,
88
] | 49 | [
"98-59=39",
"88-78=10",
"39+10=49"
] | Current State: 49:[59, 98, 78, 88], Operations: []
Exploring Operation: 98-59=39, Resulting Numbers: [78, 88, 39]
Generated Node #2: [78, 88, 39] from Operation: 98-59=39
Current State: 49:[78, 88, 39], Operations: ['98-59=39']
Exploring Operation: 88-78=10, Resulting Numbers: [39, 10]
Generated Node #3: [39, 10] from Operation: 88-78=10
Current State: 49:[39, 10], Operations: ['98-59=39', '88-78=10']
Exploring Operation: 39+10=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 | Current State: 49:[59, 98, 78, 88], Operations: []
Exploring Operation: 88-78=10, Resulting Numbers: [59, 98, 10]
Generated Node #0,0: 49:[59, 98, 10] Operation: 88-78=10
Exploring Operation: 98-88=10, Resulting Numbers: [59, 78, 10]
Generated Node #0,1: 49:[59, 78, 10] Operation: 98-88=10
Exploring Operation: 98-78=20, Resulting Numbers: [59, 88, 20]
Generated Node #0,2: 49:[59, 88, 20] Operation: 98-78=20
Exploring Operation: 98-59=39, Resulting Numbers: [78, 88, 39]
Generated Node #0,3: 49:[78, 88, 39] Operation: 98-59=39
Moving to Node #0,1
Current State: 49:[59, 78, 10], Operations: ['98-88=10']
Exploring Operation: 59-10=49, Resulting Numbers: [78, 49]
Generated Node #0,1,0: 49:[78, 49] Operation: 59-10=49
Exploring Operation: 78-10=68, Resulting Numbers: [59, 68]
Generated Node #0,1,1: 49:[59, 68] Operation: 78-10=68
Exploring Operation: 59+10=69, Resulting Numbers: [78, 69]
Generated Node #0,1,2: 49:[78, 69] Operation: 59+10=69
Exploring Operation: 78-59=19, Resulting Numbers: [10, 19]
Generated Node #0,1,3: 49:[10, 19] Operation: 78-59=19
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 49:[10, 19], Operations: ['98-88=10', '78-59=19']
Exploring Operation: 10+19=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 10*19=190, Resulting Numbers: [190]
190,49 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 49:[78, 49], Operations: ['98-88=10', '59-10=49']
Exploring Operation: 78-49=29, Resulting Numbers: [29]
29,49 unequal: No Solution
Exploring Operation: 78*49=3822, Resulting Numbers: [3822]
3822,49 unequal: No Solution
Exploring Operation: 78+49=127, Resulting Numbers: [127]
127,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 49:[59, 68], Operations: ['98-88=10', '78-10=68']
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 49:[78, 69], Operations: ['98-88=10', '59+10=69']
Exploring Operation: 78-69=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 78*69=5382, Resulting Numbers: [5382]
5382,49 unequal: No Solution
Exploring Operation: 78+69=147, Resulting Numbers: [147]
147,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 49:[59, 88, 20], Operations: ['98-78=20']
Exploring Operation: 59-20=39, Resulting Numbers: [88, 39]
Generated Node #0,2,0: 49:[88, 39] Operation: 59-20=39
Exploring Operation: 88-20=68, Resulting Numbers: [59, 68]
Generated Node #0,2,1: 49:[59, 68] Operation: 88-20=68
Exploring Operation: 88-59=29, Resulting Numbers: [20, 29]
Generated Node #0,2,2: 49:[20, 29] Operation: 88-59=29
Exploring Operation: 59+20=79, Resulting Numbers: [88, 79]
Generated Node #0,2,3: 49:[88, 79] Operation: 59+20=79
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 49:[59, 68], Operations: ['98-78=20', '88-20=68']
Exploring Operation: 59+68=127, Resulting Numbers: [127]
127,49 unequal: No Solution
Exploring Operation: 68-59=9, Resulting Numbers: [9]
9,49 unequal: No Solution
Exploring Operation: 59*68=4012, Resulting Numbers: [4012]
4012,49 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 49:[20, 29], Operations: ['98-78=20', '88-59=29']
Exploring Operation: 20*29=580, Resulting Numbers: [580]
580,49 unequal: No Solution
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Moving to Node #0
Current State: 49:[59, 98, 78, 88], Operations: []
Exploring Operation: 98-78=20, Resulting Numbers: [59, 88, 20]
Generated Node #0,2: 49:[59, 88, 20] Operation: 98-78=20
Moving to Node #0,2
Current State: 49:[59, 88, 20], Operations: ['98-78=20']
Exploring Operation: 88-59=29, Resulting Numbers: [20, 29]
Generated Node #0,2,2: 49:[20, 29] Operation: 88-59=29
Moving to Node #0,2,2
Current State: 49:[20, 29], Operations: ['98-78=20', '88-59=29']
Exploring Operation: 20+29=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354 | hs_4 | sum_heuristic |
[
80,
6,
4,
92
] | 76 | [
"92-80=12",
"6*12=72",
"4+72=76"
] | Current State: 76:[80, 6, 4, 92], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [6, 4, 12]
Generated Node #2: [6, 4, 12] from Operation: 92-80=12
Current State: 76:[6, 4, 12], Operations: ['92-80=12']
Exploring Operation: 6*12=72, Resulting Numbers: [4, 72]
Generated Node #3: [4, 72] from Operation: 6*12=72
Current State: 76:[4, 72], Operations: ['92-80=12', '6*12=72']
Exploring Operation: 4+72=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[80, 6, 4, 92], Operations: []
Exploring Operation: 92-80=12, Resulting Numbers: [6, 4, 12]
Generated Node #0,0: 76:[6, 4, 12] Operation: 92-80=12
Moving to Node #0,0
Current State: 76:[6, 4, 12], Operations: ['92-80=12']
Exploring Operation: 12/6=2, Resulting Numbers: [4, 2]
Generated Node #0,0,0: 76:[4, 2] Operation: 12/6=2
Moving to Node #0,0,0
Current State: 76:[4, 2], Operations: ['92-80=12', '12/6=2']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,76 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
39,
81,
96,
30
] | 54 | [
"39+81=120",
"96-30=66",
"120-66=54"
] | Current State: 54:[39, 81, 96, 30], Operations: []
Exploring Operation: 39+81=120, Resulting Numbers: [96, 30, 120]
Generated Node #2: [96, 30, 120] from Operation: 39+81=120
Current State: 54:[96, 30, 120], Operations: ['39+81=120']
Exploring Operation: 96-30=66, Resulting Numbers: [120, 66]
Generated Node #3: [120, 66] from Operation: 96-30=66
Current State: 54:[120, 66], Operations: ['39+81=120', '96-30=66']
Exploring Operation: 120-66=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[39, 81, 96, 30], Operations: []
Exploring Operation: 96-81=15, Resulting Numbers: [39, 30, 15]
Generated Node #0,0: 54:[39, 30, 15] Operation: 96-81=15
Moving to Node #0,0
Current State: 54:[39, 30, 15], Operations: ['96-81=15']
Exploring Operation: 39-30=9, Resulting Numbers: [15, 9]
Generated Node #0,0,0: 54:[15, 9] Operation: 39-30=9
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 54:[15, 9], Operations: ['96-81=15', '39-30=9']
Exploring Operation: 15-9=6, Resulting Numbers: [6]
6,54 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
48,
25,
55,
68
] | 100 | [
"48-25=23",
"55+68=123",
"123-23=100"
] | Current State: 100:[48, 25, 55, 68], Operations: []
Exploring Operation: 48-25=23, Resulting Numbers: [55, 68, 23]
Generated Node #2: [55, 68, 23] from Operation: 48-25=23
Current State: 100:[55, 68, 23], Operations: ['48-25=23']
Exploring Operation: 55+68=123, Resulting Numbers: [23, 123]
Generated Node #3: [23, 123] from Operation: 55+68=123
Current State: 100:[23, 123], Operations: ['48-25=23', '55+68=123']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[48, 25, 55, 68], Operations: []
Exploring Operation: 68-55=13, Resulting Numbers: [48, 25, 13]
Generated Node #0,0: 100:[48, 25, 13] Operation: 68-55=13
Exploring Operation: 68-48=20, Resulting Numbers: [25, 55, 20]
Generated Node #0,1: 100:[25, 55, 20] Operation: 68-48=20
Exploring Operation: 25+68=93, Resulting Numbers: [48, 55, 93]
Generated Node #0,2: 100:[48, 55, 93] Operation: 25+68=93
Exploring Operation: 68-25=43, Resulting Numbers: [48, 55, 43]
Generated Node #0,3: 100:[48, 55, 43] Operation: 68-25=43
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[48, 25, 13], Operations: ['68-55=13']
Exploring Operation: 25-13=12, Resulting Numbers: [48, 12]
Generated Node #0,0,0: 100:[48, 12] Operation: 25-13=12
Exploring Operation: 48-25=23, Resulting Numbers: [13, 23]
Generated Node #0,0,1: 100:[13, 23] Operation: 48-25=23
Exploring Operation: 48+13=61, Resulting Numbers: [25, 61]
Generated Node #0,0,2: 100:[25, 61] Operation: 48+13=61
Exploring Operation: 48-13=35, Resulting Numbers: [25, 35]
Generated Node #0,0,3: 100:[25, 35] Operation: 48-13=35
Moving to Node #0,0,0
Current State: 100:[48, 12], Operations: ['68-55=13', '25-13=12']
Exploring Operation: 48*12=576, Resulting Numbers: [576]
576,100 unequal: No Solution
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,100 unequal: No Solution
Exploring Operation: 48-12=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 48/12=4, Resulting Numbers: [4]
4,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[13, 23], Operations: ['68-55=13', '48-25=23']
Exploring Operation: 13*23=299, Resulting Numbers: [299]
299,100 unequal: No Solution
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[25, 35], Operations: ['68-55=13', '48-13=35']
Exploring Operation: 25*35=875, Resulting Numbers: [875]
875,100 unequal: No Solution
Exploring Operation: 35-25=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 25+35=60, Resulting Numbers: [60]
60,100 unequal: No Solution
Moving to Node #0,0,2
Current State: 100:[25, 61], Operations: ['68-55=13', '48+13=61']
Exploring Operation: 61-25=36, Resulting Numbers: [36]
36,100 unequal: No Solution
Exploring Operation: 25+61=86, Resulting Numbers: [86]
86,100 unequal: No Solution
Exploring Operation: 25*61=1525, Resulting Numbers: [1525]
1525,100 unequal: No Solution
No 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: 100:[25, 55, 20], Operations: ['68-48=20']
Exploring Operation: 25-20=5, Resulting Numbers: [55, 5]
Generated Node #0,1,0: 100:[55, 5] Operation: 25-20=5
Exploring Operation: 25+20=45, Resulting Numbers: [55, 45]
Generated Node #0,1,1: 100:[55, 45] Operation: 25+20=45
Exploring Operation: 55-25=30, Resulting Numbers: [20, 30]
Generated Node #0,1,2: 100:[20, 30] Operation: 55-25=30
Exploring Operation: 55-20=35, Resulting Numbers: [25, 35]
Generated Node #0,1,3: 100:[25, 35] Operation: 55-20=35
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[55, 5], Operations: ['68-48=20', '25-20=5']
Exploring Operation: 55+5=60, Resulting Numbers: [60]
60,100 unequal: No Solution
Exploring Operation: 55-5=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 55*5=275, Resulting Numbers: [275]
275,100 unequal: No Solution
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,100 unequal: No Solution
No 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: 100:[20, 30], Operations: ['68-48=20', '55-25=30']
Exploring Operation: 20*30=600, Resulting Numbers: [600]
600,100 unequal: No Solution
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Exploring Operation: 30-20=10, Resulting Numbers: [10]
10,100 unequal: No Solution
No 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: 100:[55, 45], Operations: ['68-48=20', '25+20=45']
Exploring Operation: 55*45=2475, Resulting Numbers: [2475]
2475,100 unequal: No Solution
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,100 unequal: No Solution
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[48, 25, 55, 68], Operations: []
Exploring Operation: 68-48=20, Resulting Numbers: [25, 55, 20]
Generated Node #0,1: 100:[25, 55, 20] Operation: 68-48=20
Moving to Node #0,1
Current State: 100:[25, 55, 20], Operations: ['68-48=20']
Exploring Operation: 25+20=45, Resulting Numbers: [55, 45]
Generated Node #0,1,1: 100:[55, 45] Operation: 25+20=45
Moving to Node #0,1,1
Current State: 100:[55, 45], Operations: ['68-48=20', '25+20=45']
Exploring Operation: 55+45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.966146 | hs_4 | sum_heuristic |
[
93,
28,
37,
90
] | 45 | [
"93-37=56",
"28*90=2520",
"2520/56=45"
] | Current State: 45:[93, 28, 37, 90], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [28, 90, 56]
Generated Node #2: [28, 90, 56] from Operation: 93-37=56
Current State: 45:[28, 90, 56], Operations: ['93-37=56']
Exploring Operation: 28*90=2520, Resulting Numbers: [56, 2520]
Generated Node #3: [56, 2520] from Operation: 28*90=2520
Current State: 45:[56, 2520], Operations: ['93-37=56', '28*90=2520']
Exploring Operation: 2520/56=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[93, 28, 37, 90], Operations: []
Exploring Operation: 93-37=56, Resulting Numbers: [28, 90, 56]
Generated Node #0,0: 45:[28, 90, 56] Operation: 93-37=56
Exploring Operation: 93-90=3, Resulting Numbers: [28, 37, 3]
Generated Node #0,1: 45:[28, 37, 3] Operation: 93-90=3
Start Sub Search at level 1: Moving to Node #0,1
Current State: 45:[28, 37, 3], Operations: ['93-90=3']
Exploring Operation: 28-3=25, Resulting Numbers: [37, 25]
Generated Node #0,1,0: 45:[37, 25] Operation: 28-3=25
Exploring Operation: 37-28=9, Resulting Numbers: [3, 9]
Generated Node #0,1,1: 45:[3, 9] Operation: 37-28=9
Moving to Node #0,1,1
Current State: 45:[3, 9], Operations: ['93-90=3', '37-28=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,45 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,45 unequal: No Solution
Moving to Node #0,1,0
Current State: 45:[37, 25], Operations: ['93-90=3', '28-3=25']
Exploring Operation: 37-25=12, Resulting Numbers: [12]
12,45 unequal: No Solution
Exploring Operation: 37+25=62, Resulting Numbers: [62]
62,45 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[28, 90, 56], Operations: ['93-37=56']
Exploring Operation: 90-28=62, Resulting Numbers: [56, 62]
Generated Node #0,0,0: 45:[56, 62] Operation: 90-28=62
Exploring Operation: 90-56=34, Resulting Numbers: [28, 34]
Generated Node #0,0,1: 45:[28, 34] Operation: 90-56=34
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 45:[28, 34], Operations: ['93-37=56', '90-56=34']
Exploring Operation: 28+34=62, Resulting Numbers: [62]
62,45 unequal: No Solution
Exploring Operation: 34-28=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 45:[56, 62], Operations: ['93-37=56', '90-28=62']
Exploring Operation: 56+62=118, Resulting Numbers: [118]
118,45 unequal: No Solution
Exploring Operation: 62-56=6, Resulting Numbers: [6]
6,45 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
62,
31,
20,
51
] | 41 | [
"62/31=2",
"20/2=10",
"51-10=41"
] | Current State: 41:[62, 31, 20, 51], Operations: []
Exploring Operation: 62/31=2, Resulting Numbers: [20, 51, 2]
Generated Node #2: [20, 51, 2] from Operation: 62/31=2
Current State: 41:[20, 51, 2], Operations: ['62/31=2']
Exploring Operation: 20/2=10, Resulting Numbers: [51, 10]
Generated Node #3: [51, 10] from Operation: 20/2=10
Current State: 41:[51, 10], Operations: ['62/31=2', '20/2=10']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[62, 31, 20, 51], Operations: []
Exploring Operation: 62-20=42, Resulting Numbers: [31, 51, 42]
Generated Node #0,0: 41:[31, 51, 42] Operation: 62-20=42
Exploring Operation: 31+20=51, Resulting Numbers: [62, 51, 51]
Generated Node #0,1: 41:[62, 51, 51] Operation: 31+20=51
Exploring Operation: 51-20=31, Resulting Numbers: [62, 31, 31]
Generated Node #0,2: 41:[62, 31, 31] Operation: 51-20=31
Exploring Operation: 62-31=31, Resulting Numbers: [20, 51, 31]
Generated Node #0,3: 41:[20, 51, 31] Operation: 62-31=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[31, 51, 42], Operations: ['62-20=42']
Exploring Operation: 51-31=20, Resulting Numbers: [42, 20]
Generated Node #0,0,0: 41:[42, 20] Operation: 51-31=20
Exploring Operation: 31+42=73, Resulting Numbers: [51, 73]
Generated Node #0,0,1: 41:[51, 73] Operation: 31+42=73
Exploring Operation: 31+51=82, Resulting Numbers: [42, 82]
Generated Node #0,0,2: 41:[42, 82] Operation: 31+51=82
Exploring Operation: 42-31=11, Resulting Numbers: [51, 11]
Generated Node #0,0,3: 41:[51, 11] Operation: 42-31=11
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[42, 20], Operations: ['62-20=42', '51-31=20']
Exploring Operation: 42-20=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 42+20=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 42*20=840, Resulting Numbers: [840]
840,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 41:[51, 11], Operations: ['62-20=42', '42-31=11']
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,41 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 41:[51, 73], Operations: ['62-20=42', '31+42=73']
Exploring Operation: 73-51=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 51*73=3723, Resulting Numbers: [3723]
3723,41 unequal: No Solution
Exploring Operation: 51+73=124, Resulting Numbers: [124]
124,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 41:[42, 82], Operations: ['62-20=42', '31+51=82']
Exploring Operation: 42+82=124, Resulting Numbers: [124]
124,41 unequal: No Solution
Exploring Operation: 82-42=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 42*82=3444, Resulting Numbers: [3444]
3444,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 41:[62, 51, 51], Operations: ['31+20=51']
Exploring Operation: 62-51=11, Resulting Numbers: [51, 11]
Generated Node #0,1,0: 41:[51, 11] Operation: 62-51=11
Exploring Operation: 51-51=0, Resulting Numbers: [62, 0]
Generated Node #0,1,1: 41:[62, 0] Operation: 51-51=0
Exploring Operation: 62-51=11, Resulting Numbers: [51, 11]
Generated Node #0,1,2: 41:[51, 11] Operation: 62-51=11
Exploring Operation: 51/51=1, Resulting Numbers: [62, 1]
Generated Node #0,1,3: 41:[62, 1] Operation: 51/51=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 41:[51, 11], Operations: ['31+20=51', '62-51=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,41 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 41:[51, 11], Operations: ['31+20=51', '62-51=11']
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 41:[62, 1], Operations: ['31+20=51', '51/51=1']
Exploring Operation: 62+1=63, Resulting Numbers: [63]
63,41 unequal: No Solution
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,41 unequal: No Solution
Exploring Operation: 62*1=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 41:[62, 0], Operations: ['31+20=51', '51-51=0']
Exploring Operation: 62*0=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 62-0=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 62+0=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 41:[62, 31, 31], Operations: ['51-20=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62, 62]
Generated Node #0,2,0: 41:[62, 62] Operation: 31+31=62
Exploring Operation: 62-31=31, Resulting Numbers: [31, 31]
Generated Node #0,2,1: 41:[31, 31] Operation: 62-31=31
Exploring Operation: 62-31=31, Resulting Numbers: [31, 31]
Generated Node #0,2,2: 41:[31, 31] Operation: 62-31=31
Exploring Operation: 62/31=2, Resulting Numbers: [31, 2]
Generated Node #0,2,3: 41:[31, 2] Operation: 62/31=2
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 41:[31, 31], Operations: ['51-20=31', '62-31=31']
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,41 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 41:[31, 31], Operations: ['51-20=31', '62-31=31']
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 41:[62, 62], Operations: ['51-20=31', '31+31=62']
Exploring Operation: 62+62=124, Resulting Numbers: [124]
124,41 unequal: No Solution
Exploring Operation: 62-62=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 62*62=3844, Resulting Numbers: [3844]
3844,41 unequal: No Solution
Exploring Operation: 62/62=1, Resulting Numbers: [1]
1,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 41:[31, 2], Operations: ['51-20=31', '62/31=2']
Exploring Operation: 31+2=33, Resulting Numbers: [33]
33,41 unequal: No Solution
Exploring Operation: 31-2=29, Resulting Numbers: [29]
29,41 unequal: No Solution
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,41 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 41:[20, 51, 31], Operations: ['62-31=31']
Exploring Operation: 20+31=51, Resulting Numbers: [51, 51]
Generated Node #0,3,0: 41:[51, 51] Operation: 20+31=51
Exploring Operation: 20+51=71, Resulting Numbers: [31, 71]
Generated Node #0,3,1: 41:[31, 71] Operation: 20+51=71
Exploring Operation: 31-20=11, Resulting Numbers: [51, 11]
Generated Node #0,3,2: 41:[51, 11] Operation: 31-20=11
Exploring Operation: 51-20=31, Resulting Numbers: [31, 31]
Generated Node #0,3,3: 41:[31, 31] Operation: 51-20=31
Moving to Node #0,3,0
Current State: 41:[51, 51], Operations: ['62-31=31', '20+31=51']
Exploring Operation: 51-51=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 51/51=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 51+51=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 51*51=2601, Resulting Numbers: [2601]
2601,41 unequal: No Solution
Moving to Node #0,3,3
Current State: 41:[31, 31], Operations: ['62-31=31', '51-20=31']
Exploring Operation: 31+31=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 31/31=1, Resulting Numbers: [1]
1,41 unequal: No Solution
Exploring Operation: 31-31=0, Resulting Numbers: [0]
0,41 unequal: No Solution
Exploring Operation: 31*31=961, Resulting Numbers: [961]
961,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[51, 11], Operations: ['62-31=31', '31-20=11']
Exploring Operation: 51*11=561, Resulting Numbers: [561]
561,41 unequal: No Solution
Exploring Operation: 51+11=62, Resulting Numbers: [62]
62,41 unequal: No Solution
Exploring Operation: 51-11=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[31, 71], Operations: ['62-31=31', '20+51=71']
Exploring Operation: 71-31=40, Resulting Numbers: [40]
40,41 unequal: No Solution
Exploring Operation: 31+71=102, Resulting Numbers: [102]
102,41 unequal: No Solution
Exploring Operation: 31*71=2201, Resulting Numbers: [2201]
2201,41 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 |
[
93,
42,
31,
66
] | 27 | [
"93/31=3",
"66-42=24",
"3+24=27"
] | Current State: 27:[93, 42, 31, 66], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [42, 66, 3]
Generated Node #2: [42, 66, 3] from Operation: 93/31=3
Current State: 27:[42, 66, 3], Operations: ['93/31=3']
Exploring Operation: 66-42=24, Resulting Numbers: [3, 24]
Generated Node #3: [3, 24] from Operation: 66-42=24
Current State: 27:[3, 24], Operations: ['93/31=3', '66-42=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[93, 42, 31, 66], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [42, 66, 3]
Generated Node #0,0: 27:[42, 66, 3] Operation: 93/31=3
Exploring Operation: 66-42=24, Resulting Numbers: [93, 31, 24]
Generated Node #0,1: 27:[93, 31, 24] Operation: 66-42=24
Exploring Operation: 93-31=62, Resulting Numbers: [42, 66, 62]
Generated Node #0,2: 27:[42, 66, 62] Operation: 93-31=62
Exploring Operation: 93-42=51, Resulting Numbers: [31, 66, 51]
Generated Node #0,3: 27:[31, 66, 51] Operation: 93-42=51
Exploring Operation: 93-66=27, Resulting Numbers: [42, 31, 27]
Generated Node #0,4: 27:[42, 31, 27] Operation: 93-66=27
Start Sub Search at level 1: Moving to Node #0,4
Current State: 27:[42, 31, 27], Operations: ['93-66=27']
Exploring Operation: 42-27=15, Resulting Numbers: [31, 15]
Generated Node #0,4,0: 27:[31, 15] Operation: 42-27=15
Exploring Operation: 42+27=69, Resulting Numbers: [31, 69]
Generated Node #0,4,1: 27:[31, 69] Operation: 42+27=69
Exploring Operation: 42+31=73, Resulting Numbers: [27, 73]
Generated Node #0,4,2: 27:[27, 73] Operation: 42+31=73
Exploring Operation: 42-31=11, Resulting Numbers: [27, 11]
Generated Node #0,4,3: 27:[27, 11] Operation: 42-31=11
Exploring Operation: 31-27=4, Resulting Numbers: [42, 4]
Generated Node #0,4,4: 27:[42, 4] Operation: 31-27=4
Moving to Node #0,4,3
Current State: 27:[27, 11], Operations: ['93-66=27', '42-31=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,27 unequal: No Solution
Moving to Node #0,4,0
Current State: 27:[31, 15], Operations: ['93-66=27', '42-27=15']
Exploring Operation: 31+15=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 31*15=465, Resulting Numbers: [465]
465,27 unequal: No Solution
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,27 unequal: No Solution
Moving to Node #0,4,4
Current State: 27:[42, 4], Operations: ['93-66=27', '31-27=4']
Exploring Operation: 42*4=168, Resulting Numbers: [168]
168,27 unequal: No Solution
Exploring Operation: 42+4=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 42-4=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Moving to Node #0,4,1
Current State: 27:[31, 69], Operations: ['93-66=27', '42+27=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,27 unequal: No Solution
Exploring Operation: 31*69=2139, Resulting Numbers: [2139]
2139,27 unequal: No Solution
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Moving to Node #0,4,2
Current State: 27:[27, 73], Operations: ['93-66=27', '42+31=73']
Exploring Operation: 73-27=46, Resulting Numbers: [46]
46,27 unequal: No Solution
Exploring Operation: 27+73=100, Resulting Numbers: [100]
100,27 unequal: No Solution
Exploring Operation: 27*73=1971, Resulting Numbers: [1971]
1971,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[42, 66, 3], Operations: ['93/31=3']
Exploring Operation: 42-3=39, Resulting Numbers: [66, 39]
Generated Node #0,0,0: 27:[66, 39] Operation: 42-3=39
Exploring Operation: 42/3=14, Resulting Numbers: [66, 14]
Generated Node #0,0,1: 27:[66, 14] Operation: 42/3=14
Exploring Operation: 66/3=22, Resulting Numbers: [42, 22]
Generated Node #0,0,2: 27:[42, 22] Operation: 66/3=22
Exploring Operation: 66-42=24, Resulting Numbers: [3, 24]
Generated Node #0,0,3: 27:[3, 24] Operation: 66-42=24
Exploring Operation: 66-3=63, Resulting Numbers: [42, 63]
Generated Node #0,0,4: 27:[42, 63] Operation: 66-3=63
Moving to Node #0,0,3
Current State: 27:[3, 24], Operations: ['93/31=3', '66-42=24']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,27 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[93, 42, 31, 66], Operations: []
Exploring Operation: 93/31=3, Resulting Numbers: [42, 66, 3]
Generated Node #0,0: 27:[42, 66, 3] Operation: 93/31=3
Moving to Node #0,0
Current State: 27:[42, 66, 3], Operations: ['93/31=3']
Exploring Operation: 66-42=24, Resulting Numbers: [3, 24]
Generated Node #0,0,3: 27:[3, 24] Operation: 66-42=24
Moving to Node #0,0,3
Current State: 27:[3, 24], Operations: ['93/31=3', '66-42=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 1
| 0.967014 | hs_5 | mult_heuristic |
[
80,
16,
19,
41
] | 65 | [
"80/16=5",
"19+41=60",
"5+60=65"
] | Current State: 65:[80, 16, 19, 41], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [19, 41, 5]
Generated Node #2: [19, 41, 5] from Operation: 80/16=5
Current State: 65:[19, 41, 5], Operations: ['80/16=5']
Exploring Operation: 19+41=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 19+41=60
Current State: 65:[5, 60], Operations: ['80/16=5', '19+41=60']
Exploring Operation: 5+60=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 | Current State: 65:[80, 16, 19, 41], Operations: []
Exploring Operation: 80/16=5, Resulting Numbers: [19, 41, 5]
Generated Node #0,0: 65:[19, 41, 5] Operation: 80/16=5
Exploring Operation: 19+41=60, Resulting Numbers: [80, 16, 60]
Generated Node #0,1: 65:[80, 16, 60] Operation: 19+41=60
Exploring Operation: 41-19=22, Resulting Numbers: [80, 16, 22]
Generated Node #0,2: 65:[80, 16, 22] Operation: 41-19=22
Exploring Operation: 80-16=64, Resulting Numbers: [19, 41, 64]
Generated Node #0,3: 65:[19, 41, 64] Operation: 80-16=64
Exploring Operation: 16+41=57, Resulting Numbers: [80, 19, 57]
Generated Node #0,4: 65:[80, 19, 57] Operation: 16+41=57
Moving to Node #0,1
Current State: 65:[80, 16, 60], Operations: ['19+41=60']
Exploring Operation: 80/16=5, Resulting Numbers: [60, 5]
Generated Node #0,1,0: 65:[60, 5] Operation: 80/16=5
Exploring Operation: 80+16=96, Resulting Numbers: [60, 96]
Generated Node #0,1,1: 65:[60, 96] Operation: 80+16=96
Exploring Operation: 80-16=64, Resulting Numbers: [60, 64]
Generated Node #0,1,2: 65:[60, 64] Operation: 80-16=64
Exploring Operation: 80-60=20, Resulting Numbers: [16, 20]
Generated Node #0,1,3: 65:[16, 20] Operation: 80-60=20
Exploring Operation: 16+60=76, Resulting Numbers: [80, 76]
Generated Node #0,1,4: 65:[80, 76] Operation: 16+60=76
Moving to Node #0,2
Current State: 65:[80, 16, 22], Operations: ['41-19=22']
Exploring Operation: 80-22=58, Resulting Numbers: [16, 58]
Generated Node #0,2,0: 65:[16, 58] Operation: 80-22=58
Exploring Operation: 80/16=5, Resulting Numbers: [22, 5]
Generated Node #0,2,1: 65:[22, 5] Operation: 80/16=5
Exploring Operation: 80+16=96, Resulting Numbers: [22, 96]
Generated Node #0,2,2: 65:[22, 96] Operation: 80+16=96
Exploring Operation: 22-16=6, Resulting Numbers: [80, 6]
Generated Node #0,2,3: 65:[80, 6] Operation: 22-16=6
Exploring Operation: 80-16=64, Resulting Numbers: [22, 64]
Generated Node #0,2,4: 65:[22, 64] Operation: 80-16=64
Moving to Node #0,4
Current State: 65:[80, 19, 57], Operations: ['16+41=57']
Exploring Operation: 57-19=38, Resulting Numbers: [80, 38]
Generated Node #0,4,0: 65:[80, 38] Operation: 57-19=38
Exploring Operation: 80-19=61, Resulting Numbers: [57, 61]
Generated Node #0,4,1: 65:[57, 61] Operation: 80-19=61
Exploring Operation: 57/19=3, Resulting Numbers: [80, 3]
Generated Node #0,4,2: 65:[80, 3] Operation: 57/19=3
Exploring Operation: 19+57=76, Resulting Numbers: [80, 76]
Generated Node #0,4,3: 65:[80, 76] Operation: 19+57=76
Exploring Operation: 80-57=23, Resulting Numbers: [19, 23]
Generated Node #0,4,4: 65:[19, 23] Operation: 80-57=23
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 65:[57, 61], Operations: ['16+41=57', '80-19=61']
Exploring Operation: 57*61=3477, Resulting Numbers: [3477]
3477,65 unequal: No Solution
Exploring Operation: 61-57=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 57+61=118, Resulting Numbers: [118]
118,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 65:[19, 23], Operations: ['16+41=57', '80-57=23']
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,65 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 65:[80, 3], Operations: ['16+41=57', '57/19=3']
Exploring Operation: 80-3=77, Resulting Numbers: [77]
77,65 unequal: No Solution
Exploring Operation: 80+3=83, Resulting Numbers: [83]
83,65 unequal: No Solution
Exploring Operation: 80*3=240, Resulting Numbers: [240]
240,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 65:[80, 76], Operations: ['16+41=57', '19+57=76']
Exploring Operation: 80-76=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 80*76=6080, Resulting Numbers: [6080]
6080,65 unequal: No Solution
Exploring Operation: 80+76=156, Resulting Numbers: [156]
156,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 65:[80, 38], Operations: ['16+41=57', '57-19=38']
Exploring Operation: 80+38=118, Resulting Numbers: [118]
118,65 unequal: No Solution
Exploring Operation: 80*38=3040, Resulting Numbers: [3040]
3040,65 unequal: No Solution
Exploring Operation: 80-38=42, Resulting Numbers: [42]
42,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 65:[19, 41, 5], Operations: ['80/16=5']
Exploring Operation: 41+5=46, Resulting Numbers: [19, 46]
Generated Node #0,0,0: 65:[19, 46] Operation: 41+5=46
Exploring Operation: 19+41=60, Resulting Numbers: [5, 60]
Generated Node #0,0,1: 65:[5, 60] Operation: 19+41=60
Exploring Operation: 19-5=14, Resulting Numbers: [41, 14]
Generated Node #0,0,2: 65:[41, 14] Operation: 19-5=14
Exploring Operation: 41-5=36, Resulting Numbers: [19, 36]
Generated Node #0,0,3: 65:[19, 36] Operation: 41-5=36
Exploring Operation: 41-19=22, Resulting Numbers: [5, 22]
Generated Node #0,0,4: 65:[5, 22] Operation: 41-19=22
Moving to Node #0,3
Current State: 65:[19, 41, 64], Operations: ['80-16=64']
Exploring Operation: 19+64=83, Resulting Numbers: [41, 83]
Generated Node #0,3,0: 65:[41, 83] Operation: 19+64=83
Exploring Operation: 64-41=23, Resulting Numbers: [19, 23]
Generated Node #0,3,1: 65:[19, 23] Operation: 64-41=23
Exploring Operation: 41-19=22, Resulting Numbers: [64, 22]
Generated Node #0,3,2: 65:[64, 22] Operation: 41-19=22
Exploring Operation: 64-19=45, Resulting Numbers: [41, 45]
Generated Node #0,3,3: 65:[41, 45] Operation: 64-19=45
Exploring Operation: 19+41=60, Resulting Numbers: [64, 60]
Generated Node #0,3,4: 65:[64, 60] Operation: 19+41=60
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 65:[64, 60], Operations: ['80-16=64', '19+41=60']
Exploring Operation: 64*60=3840, Resulting Numbers: [3840]
3840,65 unequal: No Solution
Exploring Operation: 64+60=124, Resulting Numbers: [124]
124,65 unequal: No Solution
Exploring Operation: 64-60=4, Resulting Numbers: [4]
4,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 65:[64, 22], Operations: ['80-16=64', '41-19=22']
Exploring Operation: 64-22=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Exploring Operation: 64*22=1408, Resulting Numbers: [1408]
1408,65 unequal: No Solution
Exploring Operation: 64+22=86, Resulting Numbers: [86]
86,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 65:[19, 23], Operations: ['80-16=64', '64-41=23']
Exploring Operation: 19*23=437, Resulting Numbers: [437]
437,65 unequal: No Solution
Exploring Operation: 23-19=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 19+23=42, Resulting Numbers: [42]
42,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 65:[41, 83], Operations: ['80-16=64', '19+64=83']
Exploring Operation: 41+83=124, Resulting Numbers: [124]
124,65 unequal: No Solution
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,65 unequal: No Solution
Exploring Operation: 41*83=3403, Resulting Numbers: [3403]
3403,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 65:[41, 45], Operations: ['80-16=64', '64-19=45']
Exploring Operation: 41+45=86, Resulting Numbers: [86]
86,65 unequal: No Solution
Exploring Operation: 45-41=4, Resulting Numbers: [4]
4,65 unequal: No Solution
Exploring Operation: 41*45=1845, Resulting Numbers: [1845]
1845,65 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,0
Current State: 65:[60, 5], Operations: ['19+41=60', '80/16=5']
Exploring Operation: 60*5=300, Resulting Numbers: [300]
300,65 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,65 unequal: No Solution
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[80, 16, 19, 41], Operations: []
Exploring Operation: 19+41=60, Resulting Numbers: [80, 16, 60]
Generated Node #0,1: 65:[80, 16, 60] Operation: 19+41=60
Moving to Node #0,1
Current State: 65:[80, 16, 60], Operations: ['19+41=60']
Exploring Operation: 80/16=5, Resulting Numbers: [60, 5]
Generated Node #0,1,0: 65:[60, 5] Operation: 80/16=5
Moving to Node #0,1,0
Current State: 65:[60, 5], Operations: ['19+41=60', '80/16=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 0.940972 | hs_5 | mult_heuristic |
[
26,
35,
6,
36
] | 55 | [
"26+35=61",
"36/6=6",
"61-6=55"
] | Current State: 55:[26, 35, 6, 36], Operations: []
Exploring Operation: 26+35=61, Resulting Numbers: [6, 36, 61]
Generated Node #2: [6, 36, 61] from Operation: 26+35=61
Current State: 55:[6, 36, 61], Operations: ['26+35=61']
Exploring Operation: 36/6=6, Resulting Numbers: [61, 6]
Generated Node #3: [61, 6] from Operation: 36/6=6
Current State: 55:[61, 6], Operations: ['26+35=61', '36/6=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 | Current State: 55:[26, 35, 6, 36], Operations: []
Exploring Operation: 26+36=62, Resulting Numbers: [35, 6, 62]
Generated Node #0,0: 55:[35, 6, 62] Operation: 26+36=62
Exploring Operation: 36-35=1, Resulting Numbers: [26, 6, 1]
Generated Node #0,1: 55:[26, 6, 1] Operation: 36-35=1
Exploring Operation: 36-26=10, Resulting Numbers: [35, 6, 10]
Generated Node #0,2: 55:[35, 6, 10] Operation: 36-26=10
Exploring Operation: 35-26=9, Resulting Numbers: [6, 36, 9]
Generated Node #0,3: 55:[6, 36, 9] Operation: 35-26=9
Exploring Operation: 26+35=61, Resulting Numbers: [6, 36, 61]
Generated Node #0,4: 55:[6, 36, 61] Operation: 26+35=61
Start Sub Search at level 1: Moving to Node #0,1
Current State: 55:[26, 6, 1], Operations: ['36-35=1']
Exploring Operation: 6-1=5, Resulting Numbers: [26, 5]
Generated Node #0,1,0: 55:[26, 5] Operation: 6-1=5
Exploring Operation: 26*1=26, Resulting Numbers: [6, 26]
Generated Node #0,1,1: 55:[6, 26] Operation: 26*1=26
Exploring Operation: 26-1=25, Resulting Numbers: [6, 25]
Generated Node #0,1,2: 55:[6, 25] Operation: 26-1=25
Exploring Operation: 26/1=26, Resulting Numbers: [6, 26]
Generated Node #0,1,3: 55:[6, 26] Operation: 26/1=26
Exploring Operation: 26-6=20, Resulting Numbers: [1, 20]
Generated Node #0,1,4: 55:[1, 20] Operation: 26-6=20
Moving to Node #0,1,4
Current State: 55:[1, 20], Operations: ['36-35=1', '26-6=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 1+20=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 20-1=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 20/1=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[6, 25], Operations: ['36-35=1', '26-1=25']
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,55 unequal: No Solution
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[26, 5], Operations: ['36-35=1', '6-1=5']
Exploring Operation: 26+5=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 26*5=130, Resulting Numbers: [130]
130,55 unequal: No Solution
Exploring Operation: 26-5=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Moving to Node #0,1,1
Current State: 55:[6, 26], Operations: ['36-35=1', '26*1=26']
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,55 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,55 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[6, 26], Operations: ['36-35=1', '26/1=26']
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,55 unequal: No Solution
Exploring Operation: 6+26=32, Resulting Numbers: [32]
32,55 unequal: No Solution
Exploring Operation: 6*26=156, Resulting Numbers: [156]
156,55 unequal: No Solution
No 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: 55:[35, 6, 10], Operations: ['36-26=10']
Exploring Operation: 35+10=45, Resulting Numbers: [6, 45]
Generated Node #0,2,0: 55:[6, 45] Operation: 35+10=45
Exploring Operation: 35-10=25, Resulting Numbers: [6, 25]
Generated Node #0,2,1: 55:[6, 25] Operation: 35-10=25
Exploring Operation: 35+6=41, Resulting Numbers: [10, 41]
Generated Node #0,2,2: 55:[10, 41] Operation: 35+6=41
Exploring Operation: 10-6=4, Resulting Numbers: [35, 4]
Generated Node #0,2,3: 55:[35, 4] Operation: 10-6=4
Exploring Operation: 35-6=29, Resulting Numbers: [10, 29]
Generated Node #0,2,4: 55:[10, 29] Operation: 35-6=29
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 55:[6, 45], Operations: ['36-26=10', '35+10=45']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,55 unequal: No Solution
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,55 unequal: No Solution
No 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: 55:[6, 25], Operations: ['36-26=10', '35-10=25']
Exploring Operation: 25-6=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 6*25=150, Resulting Numbers: [150]
150,55 unequal: No Solution
Exploring Operation: 6+25=31, Resulting Numbers: [31]
31,55 unequal: No Solution
No 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: 55:[10, 41], Operations: ['36-26=10', '35+6=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 10*41=410, Resulting Numbers: [410]
410,55 unequal: No Solution
Exploring Operation: 10+41=51, Resulting Numbers: [51]
51,55 unequal: No Solution
No 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: 55:[10, 29], Operations: ['36-26=10', '35-6=29']
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,55 unequal: No Solution
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,55 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,55 unequal: No Solution
No 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: 55:[35, 4], Operations: ['36-26=10', '10-6=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,55 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,55 unequal: No Solution
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,55 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: 55:[6, 36, 9], Operations: ['35-26=9']
Exploring Operation: 36/9=4, Resulting Numbers: [6, 4]
Generated Node #0,3,0: 55:[6, 4] Operation: 36/9=4
Exploring Operation: 6+36=42, Resulting Numbers: [9, 42]
Generated Node #0,3,1: 55:[9, 42] Operation: 6+36=42
Exploring Operation: 36+9=45, Resulting Numbers: [6, 45]
Generated Node #0,3,2: 55:[6, 45] Operation: 36+9=45
Exploring Operation: 36-9=27, Resulting Numbers: [6, 27]
Generated Node #0,3,3: 55:[6, 27] Operation: 36-9=27
Exploring Operation: 36/6=6, Resulting Numbers: [9, 6]
Generated Node #0,3,4: 55:[9, 6] Operation: 36/6=6
Moving to Node #0,3,0
Current State: 55:[6, 4], Operations: ['35-26=9', '36/9=4']
Exploring Operation: 6+4=10, Resulting Numbers: [10]
10,55 unequal: No Solution
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,55 unequal: No Solution
Exploring Operation: 6-4=2, Resulting Numbers: [2]
2,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[9, 6], Operations: ['35-26=9', '36/6=6']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,55 unequal: No Solution
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,55 unequal: No Solution
Moving to Node #0,3,2
Current State: 55:[6, 45], Operations: ['35-26=9', '36+9=45']
Exploring Operation: 6+45=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,55 unequal: No Solution
Exploring Operation: 6*45=270, Resulting Numbers: [270]
270,55 unequal: No Solution
Moving to Node #0,3,1
Current State: 55:[9, 42], Operations: ['35-26=9', '6+36=42']
Exploring Operation: 9*42=378, Resulting Numbers: [378]
378,55 unequal: No Solution
Exploring Operation: 9+42=51, Resulting Numbers: [51]
51,55 unequal: No Solution
Exploring Operation: 42-9=33, Resulting Numbers: [33]
33,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[6, 27], Operations: ['35-26=9', '36-9=27']
Exploring Operation: 6*27=162, Resulting Numbers: [162]
162,55 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,55 unequal: No Solution
Exploring Operation: 6+27=33, Resulting Numbers: [33]
33,55 unequal: No Solution
No 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: 55:[6, 36, 61], Operations: ['26+35=61']
Exploring Operation: 61-36=25, Resulting Numbers: [6, 25]
Generated Node #0,4,0: 55:[6, 25] Operation: 61-36=25
Exploring Operation: 61-6=55, Resulting Numbers: [36, 55]
Generated Node #0,4,1: 55:[36, 55] Operation: 61-6=55
Exploring Operation: 36-6=30, Resulting Numbers: [61, 30]
Generated Node #0,4,2: 55:[61, 30] Operation: 36-6=30
Exploring Operation: 36/6=6, Resulting Numbers: [61, 6]
Generated Node #0,4,3: 55:[61, 6] Operation: 36/6=6
Exploring Operation: 6+36=42, Resulting Numbers: [61, 42]
Generated Node #0,4,4: 55:[61, 42] Operation: 6+36=42
Moving to Node #0,4,3
Current State: 55:[61, 6], Operations: ['26+35=61', '36/6=6']
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,55 unequal: No Solution
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,55 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Moving to Node #0
Current State: 55:[26, 35, 6, 36], Operations: []
Exploring Operation: 26+35=61, Resulting Numbers: [6, 36, 61]
Generated Node #0,4: 55:[6, 36, 61] Operation: 26+35=61
Moving to Node #0,4
Current State: 55:[6, 36, 61], Operations: ['26+35=61']
Exploring Operation: 36/6=6, Resulting Numbers: [61, 6]
Generated Node #0,4,3: 55:[61, 6] Operation: 36/6=6
Moving to Node #0,4,3
Current State: 55:[61, 6], Operations: ['26+35=61', '36/6=6']
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
Exit Sub Search at level 1
| 0.932292 | hs_5 | mult_heuristic |
[
3,
73,
58,
50
] | 17 | [
"73+50=123",
"123/3=41",
"58-41=17"
] | Current State: 17:[3, 73, 58, 50], Operations: []
Exploring Operation: 73+50=123, Resulting Numbers: [3, 58, 123]
Generated Node #2: [3, 58, 123] from Operation: 73+50=123
Current State: 17:[3, 58, 123], Operations: ['73+50=123']
Exploring Operation: 123/3=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 123/3=41
Current State: 17:[58, 41], Operations: ['73+50=123', '123/3=41']
Exploring Operation: 58-41=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 | Current State: 17:[3, 73, 58, 50], Operations: []
Exploring Operation: 73-50=23, Resulting Numbers: [3, 58, 23]
Generated Node #0,0: 17:[3, 58, 23] Operation: 73-50=23
Exploring Operation: 58-3=55, Resulting Numbers: [73, 50, 55]
Generated Node #0,1: 17:[73, 50, 55] Operation: 58-3=55
Exploring Operation: 58-50=8, Resulting Numbers: [3, 73, 8]
Generated Node #0,2: 17:[3, 73, 8] Operation: 58-50=8
Exploring Operation: 73-3=70, Resulting Numbers: [58, 50, 70]
Generated Node #0,3: 17:[58, 50, 70] Operation: 73-3=70
Exploring Operation: 73-58=15, Resulting Numbers: [3, 50, 15]
Generated Node #0,4: 17:[3, 50, 15] Operation: 73-58=15
Moving to Node #0,4
Current State: 17:[3, 50, 15], Operations: ['73-58=15']
Exploring Operation: 50-3=47, Resulting Numbers: [15, 47]
Generated Node #0,4,0: 17:[15, 47] Operation: 50-3=47
Exploring Operation: 3+50=53, Resulting Numbers: [15, 53]
Generated Node #0,4,1: 17:[15, 53] Operation: 3+50=53
Exploring Operation: 3+15=18, Resulting Numbers: [50, 18]
Generated Node #0,4,2: 17:[50, 18] Operation: 3+15=18
Exploring Operation: 15-3=12, Resulting Numbers: [50, 12]
Generated Node #0,4,3: 17:[50, 12] Operation: 15-3=12
Exploring Operation: 50-15=35, Resulting Numbers: [3, 35]
Generated Node #0,4,4: 17:[3, 35] Operation: 50-15=35
Moving to Node #0,0
Current State: 17:[3, 58, 23], Operations: ['73-50=23']
Exploring Operation: 3+58=61, Resulting Numbers: [23, 61]
Generated Node #0,0,0: 17:[23, 61] Operation: 3+58=61
Exploring Operation: 58-3=55, Resulting Numbers: [23, 55]
Generated Node #0,0,1: 17:[23, 55] Operation: 58-3=55
Exploring Operation: 3+23=26, Resulting Numbers: [58, 26]
Generated Node #0,0,2: 17:[58, 26] Operation: 3+23=26
Exploring Operation: 23-3=20, Resulting Numbers: [58, 20]
Generated Node #0,0,3: 17:[58, 20] Operation: 23-3=20
Exploring Operation: 58-23=35, Resulting Numbers: [3, 35]
Generated Node #0,0,4: 17:[3, 35] Operation: 58-23=35
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 17:[3, 35], Operations: ['73-50=23', '58-23=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,17 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 #0,0,1
Current State: 17:[23, 55], Operations: ['73-50=23', '58-3=55']
Exploring Operation: 23+55=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 23*55=1265, Resulting Numbers: [1265]
1265,17 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,17 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 #0,0,3
Current State: 17:[58, 20], Operations: ['73-50=23', '23-3=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,17 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,17 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 #0,0,0
Current State: 17:[23, 61], Operations: ['73-50=23', '3+58=61']
Exploring Operation: 23+61=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 61-23=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 23*61=1403, Resulting Numbers: [1403]
1403,17 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 #0,0,2
Current State: 17:[58, 26], Operations: ['73-50=23', '3+23=26']
Exploring Operation: 58-26=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 58+26=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 58*26=1508, Resulting Numbers: [1508]
1508,17 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: 17:[3, 73, 8], Operations: ['58-50=8']
Exploring Operation: 3*8=24, Resulting Numbers: [73, 24]
Generated Node #0,2,0: 17:[73, 24] Operation: 3*8=24
Exploring Operation: 3+8=11, Resulting Numbers: [73, 11]
Generated Node #0,2,1: 17:[73, 11] Operation: 3+8=11
Exploring Operation: 73-3=70, Resulting Numbers: [8, 70]
Generated Node #0,2,2: 17:[8, 70] Operation: 73-3=70
Exploring Operation: 3+73=76, Resulting Numbers: [8, 76]
Generated Node #0,2,3: 17:[8, 76] Operation: 3+73=76
Exploring Operation: 73-8=65, Resulting Numbers: [3, 65]
Generated Node #0,2,4: 17:[3, 65] Operation: 73-8=65
Moving to Node #0,1
Current State: 17:[73, 50, 55], Operations: ['58-3=55']
Exploring Operation: 73-50=23, Resulting Numbers: [55, 23]
Generated Node #0,1,0: 17:[55, 23] Operation: 73-50=23
Exploring Operation: 73+50=123, Resulting Numbers: [55, 123]
Generated Node #0,1,1: 17:[55, 123] Operation: 73+50=123
Exploring Operation: 73+55=128, Resulting Numbers: [50, 128]
Generated Node #0,1,2: 17:[50, 128] Operation: 73+55=128
Exploring Operation: 55-50=5, Resulting Numbers: [73, 5]
Generated Node #0,1,3: 17:[73, 5] Operation: 55-50=5
Exploring Operation: 73-55=18, Resulting Numbers: [50, 18]
Generated Node #0,1,4: 17:[50, 18] Operation: 73-55=18
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 17:[50, 18], Operations: ['58-3=55', '73-55=18']
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,17 unequal: No Solution
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,17 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 #0,1,0
Current State: 17:[55, 23], Operations: ['58-3=55', '73-50=23']
Exploring Operation: 55*23=1265, Resulting Numbers: [1265]
1265,17 unequal: No Solution
Exploring Operation: 55-23=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 55+23=78, Resulting Numbers: [78]
78,17 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 #0,1,3
Current State: 17:[73, 5], Operations: ['58-3=55', '55-50=5']
Exploring Operation: 73*5=365, Resulting Numbers: [365]
365,17 unequal: No Solution
Exploring Operation: 73+5=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 73-5=68, Resulting Numbers: [68]
68,17 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 #0,1,1
Current State: 17:[55, 123], Operations: ['58-3=55', '73+50=123']
Exploring Operation: 55*123=6765, Resulting Numbers: [6765]
6765,17 unequal: No Solution
Exploring Operation: 55+123=178, Resulting Numbers: [178]
178,17 unequal: No Solution
Exploring Operation: 123-55=68, Resulting Numbers: [68]
68,17 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 #0,1,2
Current State: 17:[50, 128], Operations: ['58-3=55', '73+55=128']
Exploring Operation: 50+128=178, Resulting Numbers: [178]
178,17 unequal: No Solution
Exploring Operation: 128-50=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 50*128=6400, Resulting Numbers: [6400]
6400,17 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: 17:[58, 50, 70], Operations: ['73-3=70']
Exploring Operation: 58-50=8, Resulting Numbers: [70, 8]
Generated Node #0,3,0: 17:[70, 8] Operation: 58-50=8
Exploring Operation: 58+50=108, Resulting Numbers: [70, 108]
Generated Node #0,3,1: 17:[70, 108] Operation: 58+50=108
Exploring Operation: 58+70=128, Resulting Numbers: [50, 128]
Generated Node #0,3,2: 17:[50, 128] Operation: 58+70=128
Exploring Operation: 70-58=12, Resulting Numbers: [50, 12]
Generated Node #0,3,3: 17:[50, 12] Operation: 70-58=12
Exploring Operation: 70-50=20, Resulting Numbers: [58, 20]
Generated Node #0,3,4: 17:[58, 20] Operation: 70-50=20
Moving to Node #0,4,0
Current State: 17:[15, 47], Operations: ['73-58=15', '50-3=47']
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 15*47=705, Resulting Numbers: [705]
705,17 unequal: No Solution
Exploring Operation: 15+47=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Moving to Node #0,4,4
Current State: 17:[3, 35], Operations: ['73-58=15', '50-15=35']
Exploring Operation: 35-3=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 3+35=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 3*35=105, Resulting Numbers: [105]
105,17 unequal: No Solution
Moving to Node #0,4,2
Current State: 17:[50, 18], Operations: ['73-58=15', '3+15=18']
Exploring Operation: 50-18=32, Resulting Numbers: [32]
32,17 unequal: No Solution
Exploring Operation: 50+18=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 50*18=900, Resulting Numbers: [900]
900,17 unequal: No Solution
Moving to Node #0,4,3
Current State: 17:[50, 12], Operations: ['73-58=15', '15-3=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,17 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Moving to Node #0,3,3
Current State: 17:[50, 12], Operations: ['73-3=70', '70-58=12']
Exploring Operation: 50+12=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 50*12=600, Resulting Numbers: [600]
600,17 unequal: No Solution
Exploring Operation: 50-12=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Moving to Node #0,4,1
Current State: 17:[15, 53], Operations: ['73-58=15', '3+50=53']
Exploring Operation: 15+53=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 53-15=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 15*53=795, Resulting Numbers: [795]
795,17 unequal: No Solution
Moving to Node #0,3,4
Current State: 17:[58, 20], Operations: ['73-3=70', '70-50=20']
Exploring Operation: 58*20=1160, Resulting Numbers: [1160]
1160,17 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 58+20=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Moving to Node #0,2,2
Current State: 17:[8, 70], Operations: ['58-50=8', '73-3=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 8*70=560, Resulting Numbers: [560]
560,17 unequal: No Solution
Exploring Operation: 8+70=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Moving to Node #0,3,0
Current State: 17:[70, 8], Operations: ['73-3=70', '58-50=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 70*8=560, Resulting Numbers: [560]
560,17 unequal: No Solution
Moving to Node #0,2,4
Current State: 17:[3, 65], Operations: ['58-50=8', '73-8=65']
Exploring Operation: 3*65=195, Resulting Numbers: [195]
195,17 unequal: No Solution
Exploring Operation: 3+65=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 65-3=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Moving to Node #0,2,1
Current State: 17:[73, 11], Operations: ['58-50=8', '3+8=11']
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,17 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[73, 24], Operations: ['58-50=8', '3*8=24']
Exploring Operation: 73+24=97, Resulting Numbers: [97]
97,17 unequal: No Solution
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,17 unequal: No Solution
Exploring Operation: 73*24=1752, Resulting Numbers: [1752]
1752,17 unequal: No Solution
Moving to Node #0,2,3
Current State: 17:[8, 76], Operations: ['58-50=8', '3+73=76']
Exploring Operation: 76-8=68, Resulting Numbers: [68]
68,17 unequal: No Solution
Exploring Operation: 8*76=608, Resulting Numbers: [608]
608,17 unequal: No Solution
Exploring Operation: 8+76=84, Resulting Numbers: [84]
84,17 unequal: No Solution
Moving to Node #0,3,1
Current State: 17:[70, 108], Operations: ['73-3=70', '58+50=108']
Exploring Operation: 70+108=178, Resulting Numbers: [178]
178,17 unequal: No Solution
Exploring Operation: 108-70=38, Resulting Numbers: [38]
38,17 unequal: No Solution
Exploring Operation: 70*108=7560, Resulting Numbers: [7560]
7560,17 unequal: No Solution
Moving to Node #0,3,2
Current State: 17:[50, 128], Operations: ['73-3=70', '58+70=128']
Exploring Operation: 50*128=6400, Resulting Numbers: [6400]
6400,17 unequal: No Solution
Exploring Operation: 128-50=78, Resulting Numbers: [78]
78,17 unequal: No Solution
Exploring Operation: 50+128=178, Resulting Numbers: [178]
178,17 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
8,
99,
91,
32
] | 33 | [
"99-8=91",
"91/91=1",
"32+1=33"
] | Current State: 33:[8, 99, 91, 32], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [91, 32, 91]
Generated Node #2: [91, 32, 91] from Operation: 99-8=91
Current State: 33:[91, 32, 91], Operations: ['99-8=91']
Exploring Operation: 91/91=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 91/91=1
Current State: 33:[32, 1], Operations: ['99-8=91', '91/91=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[8, 99, 91, 32], Operations: []
Exploring Operation: 91-8=83, Resulting Numbers: [99, 32, 83]
Generated Node #0,0: 33:[99, 32, 83] Operation: 91-8=83
Exploring Operation: 91-32=59, Resulting Numbers: [8, 99, 59]
Generated Node #0,1: 33:[8, 99, 59] Operation: 91-32=59
Exploring Operation: 99-91=8, Resulting Numbers: [8, 32, 8]
Generated Node #0,2: 33:[8, 32, 8] Operation: 99-91=8
Exploring Operation: 99-8=91, Resulting Numbers: [91, 32, 91]
Generated Node #0,3: 33:[91, 32, 91] Operation: 99-8=91
Exploring Operation: 99-32=67, Resulting Numbers: [8, 91, 67]
Generated Node #0,4: 33:[8, 91, 67] Operation: 99-32=67
Moving to Node #0,2
Current State: 33:[8, 32, 8], Operations: ['99-91=8']
Exploring Operation: 8/8=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 33:[32, 1] Operation: 8/8=1
Exploring Operation: 8-8=0, Resulting Numbers: [32, 0]
Generated Node #0,2,1: 33:[32, 0] Operation: 8-8=0
Exploring Operation: 32/8=4, Resulting Numbers: [8, 4]
Generated Node #0,2,2: 33:[8, 4] Operation: 32/8=4
Exploring Operation: 32/8=4, Resulting Numbers: [8, 4]
Generated Node #0,2,3: 33:[8, 4] Operation: 32/8=4
Exploring Operation: 8+8=16, Resulting Numbers: [32, 16]
Generated Node #0,2,4: 33:[32, 16] Operation: 8+8=16
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 33:[32, 1], Operations: ['99-91=8', '8/8=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[8, 99, 91, 32], Operations: []
Exploring Operation: 99-91=8, Resulting Numbers: [8, 32, 8]
Generated Node #0,2: 33:[8, 32, 8] Operation: 99-91=8
Moving to Node #0,2
Current State: 33:[8, 32, 8], Operations: ['99-91=8']
Exploring Operation: 8/8=1, Resulting Numbers: [32, 1]
Generated Node #0,2,0: 33:[32, 1] Operation: 8/8=1
Moving to Node #0,2,0
Current State: 33:[32, 1], Operations: ['99-91=8', '8/8=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
11,
22,
20,
5
] | 66 | [
"11*20=220",
"220/5=44",
"22+44=66"
] | Current State: 66:[11, 22, 20, 5], Operations: []
Exploring Operation: 11*20=220, Resulting Numbers: [22, 5, 220]
Generated Node #2: [22, 5, 220] from Operation: 11*20=220
Current State: 66:[22, 5, 220], Operations: ['11*20=220']
Exploring Operation: 220/5=44, Resulting Numbers: [22, 44]
Generated Node #3: [22, 44] from Operation: 220/5=44
Current State: 66:[22, 44], Operations: ['11*20=220', '220/5=44']
Exploring Operation: 22+44=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 | Current State: 66:[11, 22, 20, 5], Operations: []
Exploring Operation: 11+22=33, Resulting Numbers: [20, 5, 33]
Generated Node #0,0: 66:[20, 5, 33] Operation: 11+22=33
Exploring Operation: 20/5=4, Resulting Numbers: [11, 22, 4]
Generated Node #0,1: 66:[11, 22, 4] Operation: 20/5=4
Exploring Operation: 22-20=2, Resulting Numbers: [11, 5, 2]
Generated Node #0,2: 66:[11, 5, 2] Operation: 22-20=2
Exploring Operation: 11-5=6, Resulting Numbers: [22, 20, 6]
Generated Node #0,3: 66:[22, 20, 6] Operation: 11-5=6
Moving to Node #0,1
Current State: 66:[11, 22, 4], Operations: ['20/5=4']
Exploring Operation: 11+22=33, Resulting Numbers: [4, 33]
Generated Node #0,1,0: 66:[4, 33] Operation: 11+22=33
Exploring Operation: 11-4=7, Resulting Numbers: [22, 7]
Generated Node #0,1,1: 66:[22, 7] Operation: 11-4=7
Exploring Operation: 22/11=2, Resulting Numbers: [4, 2]
Generated Node #0,1,2: 66:[4, 2] Operation: 22/11=2
Exploring Operation: 22-11=11, Resulting Numbers: [4, 11]
Generated Node #0,1,3: 66:[4, 11] Operation: 22-11=11
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 66:[4, 33], Operations: ['20/5=4', '11+22=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Exploring Operation: 4*33=132, Resulting Numbers: [132]
132,66 unequal: No Solution
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 66:[22, 7], Operations: ['20/5=4', '11-4=7']
Exploring Operation: 22*7=154, Resulting Numbers: [154]
154,66 unequal: No Solution
Exploring Operation: 22+7=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 66:[4, 2], Operations: ['20/5=4', '22/11=2']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 4+2=6, Resulting Numbers: [6]
6,66 unequal: No Solution
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,66 unequal: No Solution
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 66:[4, 11], Operations: ['20/5=4', '22-11=11']
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,66 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,66 unequal: No Solution
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 66:[11, 5, 2], Operations: ['22-20=2']
Exploring Operation: 11*2=22, Resulting Numbers: [5, 22]
Generated Node #0,2,0: 66:[5, 22] Operation: 11*2=22
Exploring Operation: 5+2=7, Resulting Numbers: [11, 7]
Generated Node #0,2,1: 66:[11, 7] Operation: 5+2=7
Exploring Operation: 5-2=3, Resulting Numbers: [11, 3]
Generated Node #0,2,2: 66:[11, 3] Operation: 5-2=3
Exploring Operation: 11-5=6, Resulting Numbers: [2, 6]
Generated Node #0,2,3: 66:[2, 6] Operation: 11-5=6
Moving to Node #0,3
Current State: 66:[22, 20, 6], Operations: ['11-5=6']
Exploring Operation: 22-20=2, Resulting Numbers: [6, 2]
Generated Node #0,3,0: 66:[6, 2] Operation: 22-20=2
Exploring Operation: 20+6=26, Resulting Numbers: [22, 26]
Generated Node #0,3,1: 66:[22, 26] Operation: 20+6=26
Exploring Operation: 20-6=14, Resulting Numbers: [22, 14]
Generated Node #0,3,2: 66:[22, 14] Operation: 20-6=14
Exploring Operation: 22+6=28, Resulting Numbers: [20, 28]
Generated Node #0,3,3: 66:[20, 28] Operation: 22+6=28
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 66:[6, 2], Operations: ['11-5=6', '22-20=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 66:[22, 14], Operations: ['11-5=6', '20-6=14']
Exploring Operation: 22+14=36, Resulting Numbers: [36]
36,66 unequal: No Solution
Exploring Operation: 22*14=308, Resulting Numbers: [308]
308,66 unequal: No Solution
Exploring Operation: 22-14=8, Resulting Numbers: [8]
8,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 66:[22, 26], Operations: ['11-5=6', '20+6=26']
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 22*26=572, Resulting Numbers: [572]
572,66 unequal: No Solution
Exploring Operation: 22+26=48, Resulting Numbers: [48]
48,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 66:[20, 28], Operations: ['11-5=6', '22+6=28']
Exploring Operation: 20*28=560, Resulting Numbers: [560]
560,66 unequal: No Solution
Exploring Operation: 28-20=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 20+28=48, Resulting Numbers: [48]
48,66 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: 66:[20, 5, 33], Operations: ['11+22=33']
Exploring Operation: 20-5=15, Resulting Numbers: [33, 15]
Generated Node #0,0,0: 66:[33, 15] Operation: 20-5=15
Exploring Operation: 20/5=4, Resulting Numbers: [33, 4]
Generated Node #0,0,1: 66:[33, 4] Operation: 20/5=4
Exploring Operation: 20+5=25, Resulting Numbers: [33, 25]
Generated Node #0,0,2: 66:[33, 25] Operation: 20+5=25
Exploring Operation: 33-20=13, Resulting Numbers: [5, 13]
Generated Node #0,0,3: 66:[5, 13] Operation: 33-20=13
Moving to Node #0,2,2
Current State: 66:[11, 3], Operations: ['22-20=2', '5-2=3']
Exploring Operation: 11+3=14, Resulting Numbers: [14]
14,66 unequal: No Solution
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[2, 6], Operations: ['22-20=2', '11-5=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[5, 22], Operations: ['22-20=2', '11*2=22']
Exploring Operation: 22-5=17, Resulting Numbers: [17]
17,66 unequal: No Solution
Exploring Operation: 5+22=27, Resulting Numbers: [27]
27,66 unequal: No Solution
Exploring Operation: 5*22=110, Resulting Numbers: [110]
110,66 unequal: No Solution
Moving to Node #0,0,1
Current State: 66:[33, 4], Operations: ['11+22=33', '20/5=4']
Exploring Operation: 33*4=132, Resulting Numbers: [132]
132,66 unequal: No Solution
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,66 unequal: No Solution
Exploring Operation: 33+4=37, Resulting Numbers: [37]
37,66 unequal: No Solution
Moving to Node #0,2,1
Current State: 66:[11, 7], Operations: ['22-20=2', '5+2=7']
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 11*7=77, Resulting Numbers: [77]
77,66 unequal: No Solution
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Moving to Node #0,0,2
Current State: 66:[33, 25], Operations: ['11+22=33', '20+5=25']
Exploring Operation: 33*25=825, Resulting Numbers: [825]
825,66 unequal: No Solution
Exploring Operation: 33+25=58, Resulting Numbers: [58]
58,66 unequal: No Solution
Exploring Operation: 33-25=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Moving to Node #0,0,3
Current State: 66:[5, 13], Operations: ['11+22=33', '33-20=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,66 unequal: No Solution
Moving to Node #0,0,0
Current State: 66:[33, 15], Operations: ['11+22=33', '20-5=15']
Exploring Operation: 33-15=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 33*15=495, Resulting Numbers: [495]
495,66 unequal: No Solution
Exploring Operation: 33+15=48, Resulting Numbers: [48]
48,66 unequal: No Solution
No solution found.
| 0 | hs_4 | sum_heuristic |
[
57,
25,
84,
31
] | 29 | [
"57+25=82",
"84-31=53",
"82-53=29"
] | Current State: 29:[57, 25, 84, 31], Operations: []
Exploring Operation: 57+25=82, Resulting Numbers: [84, 31, 82]
Generated Node #2: [84, 31, 82] from Operation: 57+25=82
Current State: 29:[84, 31, 82], Operations: ['57+25=82']
Exploring Operation: 84-31=53, Resulting Numbers: [82, 53]
Generated Node #3: [82, 53] from Operation: 84-31=53
Current State: 29:[82, 53], Operations: ['57+25=82', '84-31=53']
Exploring Operation: 82-53=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 | Current State: 29:[57, 25, 84, 31], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [25, 31, 27]
Generated Node #0,0: 29:[25, 31, 27] Operation: 84-57=27
Exploring Operation: 57-25=32, Resulting Numbers: [84, 31, 32]
Generated Node #0,1: 29:[84, 31, 32] Operation: 57-25=32
Exploring Operation: 84-31=53, Resulting Numbers: [57, 25, 53]
Generated Node #0,2: 29:[57, 25, 53] Operation: 84-31=53
Exploring Operation: 57-31=26, Resulting Numbers: [25, 84, 26]
Generated Node #0,3: 29:[25, 84, 26] Operation: 57-31=26
Exploring Operation: 84-25=59, Resulting Numbers: [57, 31, 59]
Generated Node #0,4: 29:[57, 31, 59] Operation: 84-25=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 29:[25, 31, 27], Operations: ['84-57=27']
Exploring Operation: 31-27=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 29:[25, 4] Operation: 31-27=4
Exploring Operation: 31-25=6, Resulting Numbers: [27, 6]
Generated Node #0,0,1: 29:[27, 6] Operation: 31-25=6
Exploring Operation: 27-25=2, Resulting Numbers: [31, 2]
Generated Node #0,0,2: 29:[31, 2] Operation: 27-25=2
Exploring Operation: 25+31=56, Resulting Numbers: [27, 56]
Generated Node #0,0,3: 29:[27, 56] Operation: 25+31=56
Exploring Operation: 25+27=52, Resulting Numbers: [31, 52]
Generated Node #0,0,4: 29:[31, 52] Operation: 25+27=52
Moving to Node #0,0,1
Current State: 29:[27, 6], Operations: ['84-57=27', '31-25=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 27*6=162, Resulting Numbers: [162]
162,29 unequal: No Solution
Exploring Operation: 27-6=21, Resulting Numbers: [21]
21,29 unequal: No Solution
Moving to Node #0,0,4
Current State: 29:[31, 52], Operations: ['84-57=27', '25+27=52']
Exploring Operation: 31*52=1612, Resulting Numbers: [1612]
1612,29 unequal: No Solution
Exploring Operation: 31+52=83, Resulting Numbers: [83]
83,29 unequal: No Solution
Exploring Operation: 52-31=21, Resulting Numbers: [21]
21,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[25, 4], Operations: ['84-57=27', '31-27=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,29 unequal: No Solution
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,29 unequal: No Solution
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Moving to Node #0
Current State: 29:[57, 25, 84, 31], Operations: []
Exploring Operation: 84-57=27, Resulting Numbers: [25, 31, 27]
Generated Node #0,0: 29:[25, 31, 27] Operation: 84-57=27
Moving to Node #0,0
Current State: 29:[25, 31, 27], Operations: ['84-57=27']
Exploring Operation: 31-27=4, Resulting Numbers: [25, 4]
Generated Node #0,0,0: 29:[25, 4] Operation: 31-27=4
Moving to Node #0,0,0
Current State: 29:[25, 4], Operations: ['84-57=27', '31-27=4']
Exploring Operation: 25+4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
Exit Sub Search at level 1
| 0.980035 | hs_5 | mult_heuristic |
[
7,
68,
93,
98
] | 37 | [
"68+93=161",
"98+161=259",
"259/7=37"
] | Current State: 37:[7, 68, 93, 98], Operations: []
Exploring Operation: 68+93=161, Resulting Numbers: [7, 98, 161]
Generated Node #2: [7, 98, 161] from Operation: 68+93=161
Current State: 37:[7, 98, 161], Operations: ['68+93=161']
Exploring Operation: 98+161=259, Resulting Numbers: [7, 259]
Generated Node #3: [7, 259] from Operation: 98+161=259
Current State: 37:[7, 259], Operations: ['68+93=161', '98+161=259']
Exploring Operation: 259/7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 | Current State: 37:[7, 68, 93, 98], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [7, 68, 5]
Generated Node #0,0: 37:[7, 68, 5] Operation: 98-93=5
Exploring Operation: 68-7=61, Resulting Numbers: [93, 98, 61]
Generated Node #0,1: 37:[93, 98, 61] Operation: 68-7=61
Exploring Operation: 98/7=14, Resulting Numbers: [68, 93, 14]
Generated Node #0,2: 37:[68, 93, 14] Operation: 98/7=14
Exploring Operation: 93-68=25, Resulting Numbers: [7, 98, 25]
Generated Node #0,3: 37:[7, 98, 25] Operation: 93-68=25
Exploring Operation: 98-68=30, Resulting Numbers: [7, 93, 30]
Generated Node #0,4: 37:[7, 93, 30] Operation: 98-68=30
Moving to Node #0,0
Current State: 37:[7, 68, 5], Operations: ['98-93=5']
Exploring Operation: 7-5=2, Resulting Numbers: [68, 2]
Generated Node #0,0,0: 37:[68, 2] Operation: 7-5=2
Exploring Operation: 7*5=35, Resulting Numbers: [68, 35]
Generated Node #0,0,1: 37:[68, 35] Operation: 7*5=35
Exploring Operation: 68-7=61, Resulting Numbers: [5, 61]
Generated Node #0,0,2: 37:[5, 61] Operation: 68-7=61
Exploring Operation: 68-5=63, Resulting Numbers: [7, 63]
Generated Node #0,0,3: 37:[7, 63] Operation: 68-5=63
Exploring Operation: 7+5=12, Resulting Numbers: [68, 12]
Generated Node #0,0,4: 37:[68, 12] Operation: 7+5=12
Moving to Node #0,4
Current State: 37:[7, 93, 30], Operations: ['98-68=30']
Exploring Operation: 7+30=37, Resulting Numbers: [93, 37]
Generated Node #0,4,0: 37:[93, 37] Operation: 7+30=37
Exploring Operation: 7+93=100, Resulting Numbers: [30, 100]
Generated Node #0,4,1: 37:[30, 100] Operation: 7+93=100
Exploring Operation: 93-7=86, Resulting Numbers: [30, 86]
Generated Node #0,4,2: 37:[30, 86] Operation: 93-7=86
Exploring Operation: 30-7=23, Resulting Numbers: [93, 23]
Generated Node #0,4,3: 37:[93, 23] Operation: 30-7=23
Exploring Operation: 93-30=63, Resulting Numbers: [7, 63]
Generated Node #0,4,4: 37:[7, 63] Operation: 93-30=63
Moving to Node #0,3
Current State: 37:[7, 98, 25], Operations: ['93-68=25']
Exploring Operation: 98-7=91, Resulting Numbers: [25, 91]
Generated Node #0,3,0: 37:[25, 91] Operation: 98-7=91
Exploring Operation: 7+98=105, Resulting Numbers: [25, 105]
Generated Node #0,3,1: 37:[25, 105] Operation: 7+98=105
Exploring Operation: 7+25=32, Resulting Numbers: [98, 32]
Generated Node #0,3,2: 37:[98, 32] Operation: 7+25=32
Exploring Operation: 98-25=73, Resulting Numbers: [7, 73]
Generated Node #0,3,3: 37:[7, 73] Operation: 98-25=73
Exploring Operation: 98/7=14, Resulting Numbers: [25, 14]
Generated Node #0,3,4: 37:[25, 14] Operation: 98/7=14
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 37:[25, 14], Operations: ['93-68=25', '98/7=14']
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 25*14=350, Resulting Numbers: [350]
350,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 37:[25, 91], Operations: ['93-68=25', '98-7=91']
Exploring Operation: 25+91=116, Resulting Numbers: [116]
116,37 unequal: No Solution
Exploring Operation: 25*91=2275, Resulting Numbers: [2275]
2275,37 unequal: No Solution
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 37:[98, 32], Operations: ['93-68=25', '7+25=32']
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,37 unequal: No Solution
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 37:[7, 73], Operations: ['93-68=25', '98-25=73']
Exploring Operation: 7*73=511, Resulting Numbers: [511]
511,37 unequal: No Solution
Exploring Operation: 73-7=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 7+73=80, Resulting Numbers: [80]
80,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 37:[25, 105], Operations: ['93-68=25', '7+98=105']
Exploring Operation: 105-25=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 25+105=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 25*105=2625, Resulting Numbers: [2625]
2625,37 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: 37:[68, 93, 14], Operations: ['98/7=14']
Exploring Operation: 68-14=54, Resulting Numbers: [93, 54]
Generated Node #0,2,0: 37:[93, 54] Operation: 68-14=54
Exploring Operation: 93+14=107, Resulting Numbers: [68, 107]
Generated Node #0,2,1: 37:[68, 107] Operation: 93+14=107
Exploring Operation: 93-14=79, Resulting Numbers: [68, 79]
Generated Node #0,2,2: 37:[68, 79] Operation: 93-14=79
Exploring Operation: 93-68=25, Resulting Numbers: [14, 25]
Generated Node #0,2,3: 37:[14, 25] Operation: 93-68=25
Exploring Operation: 68+14=82, Resulting Numbers: [93, 82]
Generated Node #0,2,4: 37:[93, 82] Operation: 68+14=82
Moving to Node #0,1
Current State: 37:[93, 98, 61], Operations: ['68-7=61']
Exploring Operation: 98-93=5, Resulting Numbers: [61, 5]
Generated Node #0,1,0: 37:[61, 5] Operation: 98-93=5
Exploring Operation: 98-61=37, Resulting Numbers: [93, 37]
Generated Node #0,1,1: 37:[93, 37] Operation: 98-61=37
Exploring Operation: 93-61=32, Resulting Numbers: [98, 32]
Generated Node #0,1,2: 37:[98, 32] Operation: 93-61=32
Exploring Operation: 93+98=191, Resulting Numbers: [61, 191]
Generated Node #0,1,3: 37:[61, 191] Operation: 93+98=191
Exploring Operation: 93+61=154, Resulting Numbers: [98, 154]
Generated Node #0,1,4: 37:[98, 154] Operation: 93+61=154
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 37:[61, 5], Operations: ['68-7=61', '98-93=5']
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,37 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 37:[93, 37], Operations: ['68-7=61', '98-61=37']
Exploring Operation: 93+37=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 93*37=3441, Resulting Numbers: [3441]
3441,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 37:[98, 32], Operations: ['68-7=61', '93-61=32']
Exploring Operation: 98*32=3136, Resulting Numbers: [3136]
3136,37 unequal: No Solution
Exploring Operation: 98+32=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 37:[61, 191], Operations: ['68-7=61', '93+98=191']
Exploring Operation: 191-61=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 61+191=252, Resulting Numbers: [252]
252,37 unequal: No Solution
Exploring Operation: 61*191=11651, Resulting Numbers: [11651]
11651,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 37:[98, 154], Operations: ['68-7=61', '93+61=154']
Exploring Operation: 98+154=252, Resulting Numbers: [252]
252,37 unequal: No Solution
Exploring Operation: 98*154=15092, Resulting Numbers: [15092]
15092,37 unequal: No Solution
Exploring Operation: 154-98=56, Resulting Numbers: [56]
56,37 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: 37:[68, 35], Operations: ['98-93=5', '7*5=35']
Exploring Operation: 68*35=2380, Resulting Numbers: [2380]
2380,37 unequal: No Solution
Exploring Operation: 68+35=103, Resulting Numbers: [103]
103,37 unequal: No Solution
Exploring Operation: 68-35=33, Resulting Numbers: [33]
33,37 unequal: No Solution
Moving to Node #0,2,3
Current State: 37:[14, 25], Operations: ['98/7=14', '93-68=25']
Exploring Operation: 25-14=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 14*25=350, Resulting Numbers: [350]
350,37 unequal: No Solution
Exploring Operation: 14+25=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Moving to Node #0,0,3
Current State: 37:[7, 63], Operations: ['98-93=5', '68-5=63']
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,37 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Moving to Node #0,4,2
Current State: 37:[30, 86], Operations: ['98-68=30', '93-7=86']
Exploring Operation: 30*86=2580, Resulting Numbers: [2580]
2580,37 unequal: No Solution
Exploring Operation: 86-30=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 30+86=116, Resulting Numbers: [116]
116,37 unequal: No Solution
Moving to Node #0,4,0
Current State: 37:[93, 37], Operations: ['98-68=30', '7+30=37']
Exploring Operation: 93-37=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 93*37=3441, Resulting Numbers: [3441]
3441,37 unequal: No Solution
Exploring Operation: 93+37=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[5, 61], Operations: ['98-93=5', '68-7=61']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 5*61=305, Resulting Numbers: [305]
305,37 unequal: No Solution
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[68, 12], Operations: ['98-93=5', '7+5=12']
Exploring Operation: 68*12=816, Resulting Numbers: [816]
816,37 unequal: No Solution
Exploring Operation: 68+12=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 68-12=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Moving to Node #0,4,4
Current State: 37:[7, 63], Operations: ['98-68=30', '93-30=63']
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,37 unequal: No Solution
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,37 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[68, 2], Operations: ['98-93=5', '7-5=2']
Exploring Operation: 68+2=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 68*2=136, Resulting Numbers: [136]
136,37 unequal: No Solution
Exploring Operation: 68/2=34, Resulting Numbers: [34]
34,37 unequal: No Solution
Exploring Operation: 68-2=66, Resulting Numbers: [66]
66,37 unequal: No Solution
Moving to Node #0,4,3
Current State: 37:[93, 23], Operations: ['98-68=30', '30-7=23']
Exploring Operation: 93*23=2139, Resulting Numbers: [2139]
2139,37 unequal: No Solution
Exploring Operation: 93+23=116, Resulting Numbers: [116]
116,37 unequal: No Solution
Exploring Operation: 93-23=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[30, 100], Operations: ['98-68=30', '7+93=100']
Exploring Operation: 100-30=70, Resulting Numbers: [70]
70,37 unequal: No Solution
Exploring Operation: 30+100=130, Resulting Numbers: [130]
130,37 unequal: No Solution
Exploring Operation: 30*100=3000, Resulting Numbers: [3000]
3000,37 unequal: No Solution
Moving to Node #0,2,0
Current State: 37:[93, 54], Operations: ['98/7=14', '68-14=54']
Exploring Operation: 93+54=147, Resulting Numbers: [147]
147,37 unequal: No Solution
Exploring Operation: 93-54=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Exploring Operation: 93*54=5022, Resulting Numbers: [5022]
5022,37 unequal: No Solution
Moving to Node #0,2,2
Current State: 37:[68, 79], Operations: ['98/7=14', '93-14=79']
Exploring Operation: 79-68=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 68*79=5372, Resulting Numbers: [5372]
5372,37 unequal: No Solution
Exploring Operation: 68+79=147, Resulting Numbers: [147]
147,37 unequal: No Solution
Moving to Node #0,2,1
Current State: 37:[68, 107], Operations: ['98/7=14', '93+14=107']
Exploring Operation: 68+107=175, Resulting Numbers: [175]
175,37 unequal: No Solution
Exploring Operation: 68*107=7276, Resulting Numbers: [7276]
7276,37 unequal: No Solution
Exploring Operation: 107-68=39, Resulting Numbers: [39]
39,37 unequal: No Solution
Moving to Node #0,2,4
Current State: 37:[93, 82], Operations: ['98/7=14', '68+14=82']
Exploring Operation: 93-82=11, Resulting Numbers: [11]
11,37 unequal: No Solution
Exploring Operation: 93+82=175, Resulting Numbers: [175]
175,37 unequal: No Solution
Exploring Operation: 93*82=7626, Resulting Numbers: [7626]
7626,37 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
72,
31,
35,
8
] | 14 | [
"72-31=41",
"35-8=27",
"41-27=14"
] | Current State: 14:[72, 31, 35, 8], Operations: []
Exploring Operation: 72-31=41, Resulting Numbers: [35, 8, 41]
Generated Node #2: [35, 8, 41] from Operation: 72-31=41
Current State: 14:[35, 8, 41], Operations: ['72-31=41']
Exploring Operation: 35-8=27, Resulting Numbers: [41, 27]
Generated Node #3: [41, 27] from Operation: 35-8=27
Current State: 14:[41, 27], Operations: ['72-31=41', '35-8=27']
Exploring Operation: 41-27=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[72, 31, 35, 8], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [31, 8, 37]
Generated Node #0,0: 14:[31, 8, 37] Operation: 72-35=37
Exploring Operation: 35-31=4, Resulting Numbers: [72, 8, 4]
Generated Node #0,1: 14:[72, 8, 4] Operation: 35-31=4
Exploring Operation: 72/8=9, Resulting Numbers: [31, 35, 9]
Generated Node #0,2: 14:[31, 35, 9] Operation: 72/8=9
Exploring Operation: 72-31=41, Resulting Numbers: [35, 8, 41]
Generated Node #0,3: 14:[35, 8, 41] Operation: 72-31=41
Exploring Operation: 72-8=64, Resulting Numbers: [31, 35, 64]
Generated Node #0,4: 14:[31, 35, 64] Operation: 72-8=64
Moving to Node #0,2
Current State: 14:[31, 35, 9], Operations: ['72/8=9']
Exploring Operation: 35-9=26, Resulting Numbers: [31, 26]
Generated Node #0,2,0: 14:[31, 26] Operation: 35-9=26
Exploring Operation: 35+9=44, Resulting Numbers: [31, 44]
Generated Node #0,2,1: 14:[31, 44] Operation: 35+9=44
Exploring Operation: 31-9=22, Resulting Numbers: [35, 22]
Generated Node #0,2,2: 14:[35, 22] Operation: 31-9=22
Exploring Operation: 31+9=40, Resulting Numbers: [35, 40]
Generated Node #0,2,3: 14:[35, 40] Operation: 31+9=40
Exploring Operation: 35-31=4, Resulting Numbers: [9, 4]
Generated Node #0,2,4: 14:[9, 4] Operation: 35-31=4
Moving to Node #0,0
Current State: 14:[31, 8, 37], Operations: ['72-35=37']
Exploring Operation: 31+8=39, Resulting Numbers: [37, 39]
Generated Node #0,0,0: 14:[37, 39] Operation: 31+8=39
Exploring Operation: 37-31=6, Resulting Numbers: [8, 6]
Generated Node #0,0,1: 14:[8, 6] Operation: 37-31=6
Exploring Operation: 31-8=23, Resulting Numbers: [37, 23]
Generated Node #0,0,2: 14:[37, 23] Operation: 31-8=23
Exploring Operation: 37-8=29, Resulting Numbers: [31, 29]
Generated Node #0,0,3: 14:[31, 29] Operation: 37-8=29
Exploring Operation: 8+37=45, Resulting Numbers: [31, 45]
Generated Node #0,0,4: 14:[31, 45] Operation: 8+37=45
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 14:[8, 6], Operations: ['72-35=37', '37-31=6']
Exploring Operation: 8*6=48, Resulting Numbers: [48]
48,14 unequal: No Solution
Exploring Operation: 8-6=2, Resulting Numbers: [2]
2,14 unequal: No Solution
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[72, 31, 35, 8], Operations: []
Exploring Operation: 72-35=37, Resulting Numbers: [31, 8, 37]
Generated Node #0,0: 14:[31, 8, 37] Operation: 72-35=37
Moving to Node #0,0
Current State: 14:[31, 8, 37], Operations: ['72-35=37']
Exploring Operation: 37-31=6, Resulting Numbers: [8, 6]
Generated Node #0,0,1: 14:[8, 6] Operation: 37-31=6
Moving to Node #0,0,1
Current State: 14:[8, 6], Operations: ['72-35=37', '37-31=6']
Exploring Operation: 8+6=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | sum_heuristic |
[
82,
24,
83,
12
] | 42 | [
"82*12=984",
"984/24=41",
"83-41=42"
] | Current State: 42:[82, 24, 83, 12], Operations: []
Exploring Operation: 82*12=984, Resulting Numbers: [24, 83, 984]
Generated Node #2: [24, 83, 984] from Operation: 82*12=984
Current State: 42:[24, 83, 984], Operations: ['82*12=984']
Exploring Operation: 984/24=41, Resulting Numbers: [83, 41]
Generated Node #3: [83, 41] from Operation: 984/24=41
Current State: 42:[83, 41], Operations: ['82*12=984', '984/24=41']
Exploring Operation: 83-41=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 | Current State: 42:[82, 24, 83, 12], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [24, 12, 1]
Generated Node #0,0: 42:[24, 12, 1] Operation: 83-82=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 42:[24, 12, 1], Operations: ['83-82=1']
Exploring Operation: 24/12=2, Resulting Numbers: [1, 2]
Generated Node #0,0,0: 42:[1, 2] Operation: 24/12=2
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 42:[1, 2], Operations: ['83-82=1', '24/12=2']
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,42 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 |
[
26,
17,
10,
60
] | 27 | [
"26+17=43",
"10+60=70",
"70-43=27"
] | Current State: 27:[26, 17, 10, 60], Operations: []
Exploring Operation: 26+17=43, Resulting Numbers: [10, 60, 43]
Generated Node #2: [10, 60, 43] from Operation: 26+17=43
Current State: 27:[10, 60, 43], Operations: ['26+17=43']
Exploring Operation: 10+60=70, Resulting Numbers: [43, 70]
Generated Node #3: [43, 70] from Operation: 10+60=70
Current State: 27:[43, 70], Operations: ['26+17=43', '10+60=70']
Exploring Operation: 70-43=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[26, 17, 10, 60], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [17, 10, 34]
Generated Node #0,0: 27:[17, 10, 34] Operation: 60-26=34
Exploring Operation: 60-17=43, Resulting Numbers: [26, 10, 43]
Generated Node #0,1: 27:[26, 10, 43] Operation: 60-17=43
Exploring Operation: 60/10=6, Resulting Numbers: [26, 17, 6]
Generated Node #0,2: 27:[26, 17, 6] Operation: 60/10=6
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[26, 17, 6], Operations: ['60/10=6']
Exploring Operation: 17-6=11, Resulting Numbers: [26, 11]
Generated Node #0,2,0: 27:[26, 11] Operation: 17-6=11
Exploring Operation: 17+6=23, Resulting Numbers: [26, 23]
Generated Node #0,2,1: 27:[26, 23] Operation: 17+6=23
Exploring Operation: 26-17=9, Resulting Numbers: [6, 9]
Generated Node #0,2,2: 27:[6, 9] Operation: 26-17=9
Moving to Node #0,2,0
Current State: 27:[26, 11], Operations: ['60/10=6', '17-6=11']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 26+11=37, Resulting Numbers: [37]
37,27 unequal: No Solution
Exploring Operation: 26*11=286, Resulting Numbers: [286]
286,27 unequal: No Solution
Moving to Node #0,2,2
Current State: 27:[6, 9], Operations: ['60/10=6', '26-17=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,27 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,27 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Moving to Node #0,2,1
Current State: 27:[26, 23], Operations: ['60/10=6', '17+6=23']
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,27 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,27 unequal: No Solution
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[17, 10, 34], Operations: ['60-26=34']
Exploring Operation: 17-10=7, Resulting Numbers: [34, 7]
Generated Node #0,0,0: 27:[34, 7] Operation: 17-10=7
Exploring Operation: 17+10=27, Resulting Numbers: [34, 27]
Generated Node #0,0,1: 27:[34, 27] Operation: 17+10=27
Exploring Operation: 34/17=2, Resulting Numbers: [10, 2]
Generated Node #0,0,2: 27:[10, 2] Operation: 34/17=2
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 27:[10, 2], Operations: ['60-26=34', '34/17=2']
Exploring Operation: 10+2=12, Resulting Numbers: [12]
12,27 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,27 unequal: No Solution
No 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: 27:[34, 27], Operations: ['60-26=34', '17+10=27']
Exploring Operation: 34+27=61, Resulting Numbers: [61]
61,27 unequal: No Solution
Exploring Operation: 34*27=918, Resulting Numbers: [918]
918,27 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,27 unequal: No Solution
No 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: 27:[34, 7], Operations: ['60-26=34', '17-10=7']
Exploring Operation: 34*7=238, Resulting Numbers: [238]
238,27 unequal: No Solution
Exploring Operation: 34+7=41, Resulting Numbers: [41]
41,27 unequal: No Solution
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[26, 17, 10, 60], Operations: []
Exploring Operation: 60-26=34, Resulting Numbers: [17, 10, 34]
Generated Node #0,0: 27:[17, 10, 34] Operation: 60-26=34
Moving to Node #0,0
Current State: 27:[17, 10, 34], Operations: ['60-26=34']
Exploring Operation: 17-10=7, Resulting Numbers: [34, 7]
Generated Node #0,0,0: 27:[34, 7] Operation: 17-10=7
Moving to Node #0,0,0
Current State: 27:[34, 7], Operations: ['60-26=34', '17-10=7']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.97309 | hs_3 | sum_heuristic |
[
20,
27,
13,
37
] | 71 | [
"20+27=47",
"37-13=24",
"47+24=71"
] | Current State: 71:[20, 27, 13, 37], Operations: []
Exploring Operation: 20+27=47, Resulting Numbers: [13, 37, 47]
Generated Node #2: [13, 37, 47] from Operation: 20+27=47
Current State: 71:[13, 37, 47], Operations: ['20+27=47']
Exploring Operation: 37-13=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 37-13=24
Current State: 71:[47, 24], Operations: ['20+27=47', '37-13=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[20, 27, 13, 37], Operations: []
Exploring Operation: 20+27=47, Resulting Numbers: [13, 37, 47]
Generated Node #0,0: 71:[13, 37, 47] Operation: 20+27=47
Moving to Node #0,0
Current State: 71:[13, 37, 47], Operations: ['20+27=47']
Exploring Operation: 13+37=50, Resulting Numbers: [47, 50]
Generated Node #0,0,0: 71:[47, 50] Operation: 13+37=50
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[47, 50], Operations: ['20+27=47', '13+37=50']
Exploring Operation: 47+50=97, Resulting Numbers: [97]
97,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
2,
1,
48,
9
] | 57 | [
"2-1=1",
"48+9=57",
"1*57=57"
] | Current State: 57:[2, 1, 48, 9], Operations: []
Exploring Operation: 2-1=1, Resulting Numbers: [48, 9, 1]
Generated Node #2: [48, 9, 1] from Operation: 2-1=1
Current State: 57:[48, 9, 1], Operations: ['2-1=1']
Exploring Operation: 48+9=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 48+9=57
Current State: 57:[1, 57], Operations: ['2-1=1', '48+9=57']
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 | Current State: 57:[2, 1, 48, 9], Operations: []
Exploring Operation: 48+9=57, Resulting Numbers: [2, 1, 57]
Generated Node #0,0: 57:[2, 1, 57] Operation: 48+9=57
Exploring Operation: 2+1=3, Resulting Numbers: [48, 9, 3]
Generated Node #0,1: 57:[48, 9, 3] Operation: 2+1=3
Exploring Operation: 2+48=50, Resulting Numbers: [1, 9, 50]
Generated Node #0,2: 57:[1, 9, 50] Operation: 2+48=50
Exploring Operation: 48/2=24, Resulting Numbers: [1, 9, 24]
Generated Node #0,3: 57:[1, 9, 24] Operation: 48/2=24
Exploring Operation: 2*9=18, Resulting Numbers: [1, 48, 18]
Generated Node #0,4: 57:[1, 48, 18] Operation: 2*9=18
Moving to Node #0,0
Current State: 57:[2, 1, 57], Operations: ['48+9=57']
Exploring Operation: 2+1=3, Resulting Numbers: [57, 3]
Generated Node #0,0,0: 57:[57, 3] Operation: 2+1=3
Exploring Operation: 1*57=57, Resulting Numbers: [2, 57]
Generated Node #0,0,1: 57:[2, 57] Operation: 1*57=57
Exploring Operation: 2/1=2, Resulting Numbers: [57, 2]
Generated Node #0,0,2: 57:[57, 2] Operation: 2/1=2
Exploring Operation: 2*1=2, Resulting Numbers: [57, 2]
Generated Node #0,0,3: 57:[57, 2] Operation: 2*1=2
Exploring Operation: 57/1=57, Resulting Numbers: [2, 57]
Generated Node #0,0,4: 57:[2, 57] Operation: 57/1=57
Moving to Node #0,4
Current State: 57:[1, 48, 18], Operations: ['2*9=18']
Exploring Operation: 1+48=49, Resulting Numbers: [18, 49]
Generated Node #0,4,0: 57:[18, 49] Operation: 1+48=49
Exploring Operation: 1+18=19, Resulting Numbers: [48, 19]
Generated Node #0,4,1: 57:[48, 19] Operation: 1+18=19
Exploring Operation: 1*18=18, Resulting Numbers: [48, 18]
Generated Node #0,4,2: 57:[48, 18] Operation: 1*18=18
Exploring Operation: 1*48=48, Resulting Numbers: [18, 48]
Generated Node #0,4,3: 57:[18, 48] Operation: 1*48=48
Exploring Operation: 48/1=48, Resulting Numbers: [18, 48]
Generated Node #0,4,4: 57:[18, 48] Operation: 48/1=48
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 57:[18, 49], Operations: ['2*9=18', '1+48=49']
Exploring Operation: 18*49=882, Resulting Numbers: [882]
882,57 unequal: No Solution
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,57 unequal: No Solution
Exploring Operation: 18+49=67, Resulting Numbers: [67]
67,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 57:[48, 19], Operations: ['2*9=18', '1+18=19']
Exploring Operation: 48-19=29, Resulting Numbers: [29]
29,57 unequal: No Solution
Exploring Operation: 48+19=67, Resulting Numbers: [67]
67,57 unequal: No Solution
Exploring Operation: 48*19=912, Resulting Numbers: [912]
912,57 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 #0,4,2
Current State: 57:[48, 18], Operations: ['2*9=18', '1*18=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,57 unequal: No Solution
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,57 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 #0,4,3
Current State: 57:[18, 48], Operations: ['2*9=18', '1*48=48']
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,57 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,57 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,57 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 #0,4,4
Current State: 57:[18, 48], Operations: ['2*9=18', '48/1=48']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,57 unequal: No Solution
Exploring Operation: 18*48=864, Resulting Numbers: [864]
864,57 unequal: No Solution
Exploring Operation: 18+48=66, Resulting Numbers: [66]
66,57 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: 57:[1, 9, 24], Operations: ['48/2=24']
Exploring Operation: 24-1=23, Resulting Numbers: [9, 23]
Generated Node #0,3,0: 57:[9, 23] Operation: 24-1=23
Exploring Operation: 9/1=9, Resulting Numbers: [24, 9]
Generated Node #0,3,1: 57:[24, 9] Operation: 9/1=9
Exploring Operation: 24-9=15, Resulting Numbers: [1, 15]
Generated Node #0,3,2: 57:[1, 15] Operation: 24-9=15
Exploring Operation: 1*9=9, Resulting Numbers: [24, 9]
Generated Node #0,3,3: 57:[24, 9] Operation: 1*9=9
Exploring Operation: 9-1=8, Resulting Numbers: [24, 8]
Generated Node #0,3,4: 57:[24, 8] Operation: 9-1=8
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 57:[1, 15], Operations: ['48/2=24', '24-9=15']
Exploring Operation: 15-1=14, Resulting Numbers: [14]
14,57 unequal: No Solution
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,57 unequal: No Solution
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 15/1=15, Resulting Numbers: [15]
15,57 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 #0,3,0
Current State: 57:[9, 23], Operations: ['48/2=24', '24-1=23']
Exploring Operation: 9+23=32, Resulting Numbers: [32]
32,57 unequal: No Solution
Exploring Operation: 9*23=207, Resulting Numbers: [207]
207,57 unequal: No Solution
Exploring Operation: 23-9=14, Resulting Numbers: [14]
14,57 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 #0,3,4
Current State: 57:[24, 8], Operations: ['48/2=24', '9-1=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 24*8=192, Resulting Numbers: [192]
192,57 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,57 unequal: No Solution
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,57 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 #0,3,1
Current State: 57:[24, 9], Operations: ['48/2=24', '9/1=9']
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,57 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,57 unequal: No Solution
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,57 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 #0,3,3
Current State: 57:[24, 9], Operations: ['48/2=24', '1*9=9']
Exploring Operation: 24*9=216, Resulting Numbers: [216]
216,57 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,57 unequal: No Solution
Exploring Operation: 24+9=33, Resulting Numbers: [33]
33,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 57:[48, 9, 3], Operations: ['2+1=3']
Exploring Operation: 48+9=57, Resulting Numbers: [3, 57]
Generated Node #0,1,0: 57:[3, 57] Operation: 48+9=57
Exploring Operation: 9/3=3, Resulting Numbers: [48, 3]
Generated Node #0,1,1: 57:[48, 3] Operation: 9/3=3
Exploring Operation: 9-3=6, Resulting Numbers: [48, 6]
Generated Node #0,1,2: 57:[48, 6] Operation: 9-3=6
Exploring Operation: 48+3=51, Resulting Numbers: [9, 51]
Generated Node #0,1,3: 57:[9, 51] Operation: 48+3=51
Exploring Operation: 48/3=16, Resulting Numbers: [9, 16]
Generated Node #0,1,4: 57:[9, 16] Operation: 48/3=16
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 57:[3, 57], Operations: ['2+1=3', '48+9=57']
Exploring Operation: 3+57=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Exploring Operation: 3*57=171, Resulting Numbers: [171]
171,57 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 57:[48, 3], Operations: ['2+1=3', '9/3=3']
Exploring Operation: 48*3=144, Resulting Numbers: [144]
144,57 unequal: No Solution
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,57 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,57 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,57 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 #0,1,4
Current State: 57:[9, 16], Operations: ['2+1=3', '48/3=16']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,57 unequal: No Solution
Exploring Operation: 9*16=144, Resulting Numbers: [144]
144,57 unequal: No Solution
Exploring Operation: 9+16=25, Resulting Numbers: [25]
25,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 57:[48, 6], Operations: ['2+1=3', '9-3=6']
Exploring Operation: 48*6=288, Resulting Numbers: [288]
288,57 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,57 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,57 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 #0,1,3
Current State: 57:[9, 51], Operations: ['2+1=3', '48+3=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,57 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: 57:[1, 9, 50], Operations: ['2+48=50']
Exploring Operation: 9+50=59, Resulting Numbers: [1, 59]
Generated Node #0,2,0: 57:[1, 59] Operation: 9+50=59
Exploring Operation: 9-1=8, Resulting Numbers: [50, 8]
Generated Node #0,2,1: 57:[50, 8] Operation: 9-1=8
Exploring Operation: 1*9=9, Resulting Numbers: [50, 9]
Generated Node #0,2,2: 57:[50, 9] Operation: 1*9=9
Exploring Operation: 1+50=51, Resulting Numbers: [9, 51]
Generated Node #0,2,3: 57:[9, 51] Operation: 1+50=51
Exploring Operation: 9/1=9, Resulting Numbers: [50, 9]
Generated Node #0,2,4: 57:[50, 9] Operation: 9/1=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 57:[1, 59], Operations: ['2+48=50', '9+50=59']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,57 unequal: No Solution
Exploring Operation: 1*59=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 1+59=60, Resulting Numbers: [60]
60,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 57:[50, 8], Operations: ['2+48=50', '9-1=8']
Exploring Operation: 50*8=400, Resulting Numbers: [400]
400,57 unequal: No Solution
Exploring Operation: 50-8=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 57:[9, 51], Operations: ['2+48=50', '1+50=51']
Exploring Operation: 9*51=459, Resulting Numbers: [459]
459,57 unequal: No Solution
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,57 unequal: No Solution
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 57:[50, 9], Operations: ['2+48=50', '1*9=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,57 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 50-9=41, Resulting Numbers: [41]
41,57 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 57:[50, 9], Operations: ['2+48=50', '9/1=9']
Exploring Operation: 50*9=450, Resulting Numbers: [450]
450,57 unequal: No Solution
Exploring Operation: 50+9=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 50-9=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 #0,0,0
Current State: 57:[57, 3], Operations: ['48+9=57', '2+1=3']
Exploring Operation: 57*3=171, Resulting Numbers: [171]
171,57 unequal: No Solution
Exploring Operation: 57+3=60, Resulting Numbers: [60]
60,57 unequal: No Solution
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,57 unequal: No Solution
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,57 unequal: No Solution
Moving to Node #0,0,2
Current State: 57:[57, 2], Operations: ['48+9=57', '2/1=2']
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Moving to Node #0,0,4
Current State: 57:[2, 57], Operations: ['48+9=57', '57/1=57']
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Moving to Node #0,0,1
Current State: 57:[2, 57], Operations: ['48+9=57', '1*57=57']
Exploring Operation: 2*57=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 2+57=59, Resulting Numbers: [59]
59,57 unequal: No Solution
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Moving to Node #0,0,3
Current State: 57:[57, 2], Operations: ['48+9=57', '2*1=2']
Exploring Operation: 57-2=55, Resulting Numbers: [55]
55,57 unequal: No Solution
Exploring Operation: 57*2=114, Resulting Numbers: [114]
114,57 unequal: No Solution
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,57 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
83,
5,
86,
11
] | 22 | [
"83+5=88",
"88-86=2",
"11*2=22"
] | Current State: 22:[83, 5, 86, 11], Operations: []
Exploring Operation: 83+5=88, Resulting Numbers: [86, 11, 88]
Generated Node #2: [86, 11, 88] from Operation: 83+5=88
Current State: 22:[86, 11, 88], Operations: ['83+5=88']
Exploring Operation: 88-86=2, Resulting Numbers: [11, 2]
Generated Node #3: [11, 2] from Operation: 88-86=2
Current State: 22:[11, 2], Operations: ['83+5=88', '88-86=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 | Current State: 22:[83, 5, 86, 11], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [5, 11, 3]
Generated Node #0,0: 22:[5, 11, 3] Operation: 86-83=3
Exploring Operation: 83-11=72, Resulting Numbers: [5, 86, 72]
Generated Node #0,1: 22:[5, 86, 72] Operation: 83-11=72
Exploring Operation: 86-11=75, Resulting Numbers: [83, 5, 75]
Generated Node #0,2: 22:[83, 5, 75] Operation: 86-11=75
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[5, 11, 3], Operations: ['86-83=3']
Exploring Operation: 5+3=8, Resulting Numbers: [11, 8]
Generated Node #0,0,0: 22:[11, 8] Operation: 5+3=8
Exploring Operation: 5*3=15, Resulting Numbers: [11, 15]
Generated Node #0,0,1: 22:[11, 15] Operation: 5*3=15
Exploring Operation: 5-3=2, Resulting Numbers: [11, 2]
Generated Node #0,0,2: 22:[11, 2] Operation: 5-3=2
Moving to Node #0,0,2
Current State: 22:[11, 2], Operations: ['86-83=3', '5-3=2']
Exploring Operation: 11+2=13, Resulting Numbers: [13]
13,22 unequal: No Solution
Exploring Operation: 11-2=9, Resulting Numbers: [9]
9,22 unequal: No Solution
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[83, 5, 86, 11], Operations: []
Exploring Operation: 86-83=3, Resulting Numbers: [5, 11, 3]
Generated Node #0,0: 22:[5, 11, 3] Operation: 86-83=3
Moving to Node #0,0
Current State: 22:[5, 11, 3], Operations: ['86-83=3']
Exploring Operation: 5-3=2, Resulting Numbers: [11, 2]
Generated Node #0,0,2: 22:[11, 2] Operation: 5-3=2
Moving to Node #0,0,2
Current State: 22:[11, 2], Operations: ['86-83=3', '5-3=2']
Exploring Operation: 11*2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | sum_heuristic |
[
46,
52,
57,
7
] | 81 | [
"57-52=5",
"7*5=35",
"46+35=81"
] | Current State: 81:[46, 52, 57, 7], Operations: []
Exploring Operation: 57-52=5, Resulting Numbers: [46, 7, 5]
Generated Node #2: [46, 7, 5] from Operation: 57-52=5
Current State: 81:[46, 7, 5], Operations: ['57-52=5']
Exploring Operation: 7*5=35, Resulting Numbers: [46, 35]
Generated Node #3: [46, 35] from Operation: 7*5=35
Current State: 81:[46, 35], Operations: ['57-52=5', '7*5=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[46, 52, 57, 7], Operations: []
Exploring Operation: 46+57=103, Resulting Numbers: [52, 7, 103]
Generated Node #0,0: 81:[52, 7, 103] Operation: 46+57=103
Exploring Operation: 46+52=98, Resulting Numbers: [57, 7, 98]
Generated Node #0,1: 81:[57, 7, 98] Operation: 46+52=98
Exploring Operation: 52-46=6, Resulting Numbers: [57, 7, 6]
Generated Node #0,2: 81:[57, 7, 6] Operation: 52-46=6
Exploring Operation: 57-46=11, Resulting Numbers: [52, 7, 11]
Generated Node #0,3: 81:[52, 7, 11] Operation: 57-46=11
Exploring Operation: 57-52=5, Resulting Numbers: [46, 7, 5]
Generated Node #0,4: 81:[46, 7, 5] Operation: 57-52=5
Moving to Node #0,4
Current State: 81:[46, 7, 5], Operations: ['57-52=5']
Exploring Operation: 7-5=2, Resulting Numbers: [46, 2]
Generated Node #0,4,0: 81:[46, 2] Operation: 7-5=2
Exploring Operation: 46-7=39, Resulting Numbers: [5, 39]
Generated Node #0,4,1: 81:[5, 39] Operation: 46-7=39
Exploring Operation: 46-5=41, Resulting Numbers: [7, 41]
Generated Node #0,4,2: 81:[7, 41] Operation: 46-5=41
Exploring Operation: 7+5=12, Resulting Numbers: [46, 12]
Generated Node #0,4,3: 81:[46, 12] Operation: 7+5=12
Exploring Operation: 46+5=51, Resulting Numbers: [7, 51]
Generated Node #0,4,4: 81:[7, 51] Operation: 46+5=51
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 81:[5, 39], Operations: ['57-52=5', '46-7=39']
Exploring Operation: 5+39=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 5*39=195, Resulting Numbers: [195]
195,81 unequal: No Solution
Exploring Operation: 39-5=34, Resulting Numbers: [34]
34,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 81:[7, 41], Operations: ['57-52=5', '46-5=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 81:[46, 2], Operations: ['57-52=5', '7-5=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,81 unequal: No Solution
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,81 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 81:[46, 12], Operations: ['57-52=5', '7+5=12']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 81:[7, 51], Operations: ['57-52=5', '46+5=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,81 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: 81:[52, 7, 11], Operations: ['57-46=11']
Exploring Operation: 11-7=4, Resulting Numbers: [52, 4]
Generated Node #0,3,0: 81:[52, 4] Operation: 11-7=4
Exploring Operation: 52+7=59, Resulting Numbers: [11, 59]
Generated Node #0,3,1: 81:[11, 59] Operation: 52+7=59
Exploring Operation: 52-11=41, Resulting Numbers: [7, 41]
Generated Node #0,3,2: 81:[7, 41] Operation: 52-11=41
Exploring Operation: 52+11=63, Resulting Numbers: [7, 63]
Generated Node #0,3,3: 81:[7, 63] Operation: 52+11=63
Exploring Operation: 52-7=45, Resulting Numbers: [11, 45]
Generated Node #0,3,4: 81:[11, 45] Operation: 52-7=45
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 81:[7, 41], Operations: ['57-46=11', '52-11=41']
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,81 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 81:[7, 63], Operations: ['57-46=11', '52+11=63']
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,81 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 81:[11, 45], Operations: ['57-46=11', '52-7=45']
Exploring Operation: 11*45=495, Resulting Numbers: [495]
495,81 unequal: No Solution
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 11+45=56, Resulting Numbers: [56]
56,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 81:[11, 59], Operations: ['57-46=11', '52+7=59']
Exploring Operation: 59-11=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 11+59=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 11*59=649, Resulting Numbers: [649]
649,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 81:[52, 4], Operations: ['57-46=11', '11-7=4']
Exploring Operation: 52*4=208, Resulting Numbers: [208]
208,81 unequal: No Solution
Exploring Operation: 52-4=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 52+4=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 52/4=13, Resulting Numbers: [13]
13,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 81:[57, 7, 6], Operations: ['52-46=6']
Exploring Operation: 57+6=63, Resulting Numbers: [7, 63]
Generated Node #0,2,0: 81:[7, 63] Operation: 57+6=63
Exploring Operation: 57-6=51, Resulting Numbers: [7, 51]
Generated Node #0,2,1: 81:[7, 51] Operation: 57-6=51
Exploring Operation: 57+7=64, Resulting Numbers: [6, 64]
Generated Node #0,2,2: 81:[6, 64] Operation: 57+7=64
Exploring Operation: 57-7=50, Resulting Numbers: [6, 50]
Generated Node #0,2,3: 81:[6, 50] Operation: 57-7=50
Exploring Operation: 7-6=1, Resulting Numbers: [57, 1]
Generated Node #0,2,4: 81:[57, 1] Operation: 7-6=1
Moving to Node #0,1
Current State: 81:[57, 7, 98], Operations: ['46+52=98']
Exploring Operation: 57+7=64, Resulting Numbers: [98, 64]
Generated Node #0,1,0: 81:[98, 64] Operation: 57+7=64
Exploring Operation: 98/7=14, Resulting Numbers: [57, 14]
Generated Node #0,1,1: 81:[57, 14] Operation: 98/7=14
Exploring Operation: 98-57=41, Resulting Numbers: [7, 41]
Generated Node #0,1,2: 81:[7, 41] Operation: 98-57=41
Exploring Operation: 98-7=91, Resulting Numbers: [57, 91]
Generated Node #0,1,3: 81:[57, 91] Operation: 98-7=91
Exploring Operation: 57-7=50, Resulting Numbers: [98, 50]
Generated Node #0,1,4: 81:[98, 50] Operation: 57-7=50
Moving to Node #0,0
Current State: 81:[52, 7, 103], Operations: ['46+57=103']
Exploring Operation: 7+103=110, Resulting Numbers: [52, 110]
Generated Node #0,0,0: 81:[52, 110] Operation: 7+103=110
Exploring Operation: 52-7=45, Resulting Numbers: [103, 45]
Generated Node #0,0,1: 81:[103, 45] Operation: 52-7=45
Exploring Operation: 103-52=51, Resulting Numbers: [7, 51]
Generated Node #0,0,2: 81:[7, 51] Operation: 103-52=51
Exploring Operation: 52+7=59, Resulting Numbers: [103, 59]
Generated Node #0,0,3: 81:[103, 59] Operation: 52+7=59
Exploring Operation: 103-7=96, Resulting Numbers: [52, 96]
Generated Node #0,0,4: 81:[52, 96] Operation: 103-7=96
Moving to Node #0,1,2
Current State: 81:[7, 41], Operations: ['46+52=98', '98-57=41']
Exploring Operation: 41-7=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Exploring Operation: 7*41=287, Resulting Numbers: [287]
287,81 unequal: No Solution
Exploring Operation: 7+41=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Moving to Node #0,2,0
Current State: 81:[7, 63], Operations: ['52-46=6', '57+6=63']
Exploring Operation: 63-7=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 7+63=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 7*63=441, Resulting Numbers: [441]
441,81 unequal: No Solution
Exploring Operation: 63/7=9, Resulting Numbers: [9]
9,81 unequal: No Solution
Moving to Node #0,2,2
Current State: 81:[6, 64], Operations: ['52-46=6', '57+7=64']
Exploring Operation: 6*64=384, Resulting Numbers: [384]
384,81 unequal: No Solution
Exploring Operation: 6+64=70, Resulting Numbers: [70]
70,81 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Moving to Node #0,2,1
Current State: 81:[7, 51], Operations: ['52-46=6', '57-6=51']
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,81 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Moving to Node #0,2,4
Current State: 81:[57, 1], Operations: ['52-46=6', '7-6=1']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,81 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,81 unequal: No Solution
Moving to Node #0,0,2
Current State: 81:[7, 51], Operations: ['46+57=103', '103-52=51']
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,81 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Moving to Node #0,2,3
Current State: 81:[6, 50], Operations: ['52-46=6', '57-7=50']
Exploring Operation: 6*50=300, Resulting Numbers: [300]
300,81 unequal: No Solution
Exploring Operation: 6+50=56, Resulting Numbers: [56]
56,81 unequal: No Solution
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[57, 14], Operations: ['46+52=98', '98/7=14']
Exploring Operation: 57-14=43, Resulting Numbers: [43]
43,81 unequal: No Solution
Exploring Operation: 57+14=71, Resulting Numbers: [71]
71,81 unequal: No Solution
Exploring Operation: 57*14=798, Resulting Numbers: [798]
798,81 unequal: No Solution
Moving to Node #0,1,3
Current State: 81:[57, 91], Operations: ['46+52=98', '98-7=91']
Exploring Operation: 57+91=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 57*91=5187, Resulting Numbers: [5187]
5187,81 unequal: No Solution
Exploring Operation: 91-57=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[98, 64], Operations: ['46+52=98', '57+7=64']
Exploring Operation: 98+64=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Exploring Operation: 98*64=6272, Resulting Numbers: [6272]
6272,81 unequal: No Solution
Exploring Operation: 98-64=34, Resulting Numbers: [34]
34,81 unequal: No Solution
Moving to Node #0,0,4
Current State: 81:[52, 96], Operations: ['46+57=103', '103-7=96']
Exploring Operation: 52+96=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 96-52=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 52*96=4992, Resulting Numbers: [4992]
4992,81 unequal: No Solution
Moving to Node #0,1,4
Current State: 81:[98, 50], Operations: ['46+52=98', '57-7=50']
Exploring Operation: 98*50=4900, Resulting Numbers: [4900]
4900,81 unequal: No Solution
Exploring Operation: 98-50=48, Resulting Numbers: [48]
48,81 unequal: No Solution
Exploring Operation: 98+50=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Moving to Node #0,0,1
Current State: 81:[103, 45], Operations: ['46+57=103', '52-7=45']
Exploring Operation: 103+45=148, Resulting Numbers: [148]
148,81 unequal: No Solution
Exploring Operation: 103*45=4635, Resulting Numbers: [4635]
4635,81 unequal: No Solution
Exploring Operation: 103-45=58, Resulting Numbers: [58]
58,81 unequal: No Solution
Moving to Node #0,0,3
Current State: 81:[103, 59], Operations: ['46+57=103', '52+7=59']
Exploring Operation: 103*59=6077, Resulting Numbers: [6077]
6077,81 unequal: No Solution
Exploring Operation: 103-59=44, Resulting Numbers: [44]
44,81 unequal: No Solution
Exploring Operation: 103+59=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Moving to Node #0,0,0
Current State: 81:[52, 110], Operations: ['46+57=103', '7+103=110']
Exploring Operation: 52*110=5720, Resulting Numbers: [5720]
5720,81 unequal: No Solution
Exploring Operation: 52+110=162, Resulting Numbers: [162]
162,81 unequal: No Solution
Exploring Operation: 110-52=58, Resulting Numbers: [58]
58,81 unequal: No Solution
No solution found.
| 0 | hs_5 | sum_heuristic |
[
57,
20,
5,
3
] | 47 | [
"5-3=2",
"20/2=10",
"57-10=47"
] | Current State: 47:[57, 20, 5, 3], Operations: []
Exploring Operation: 5-3=2, Resulting Numbers: [57, 20, 2]
Generated Node #2: [57, 20, 2] from Operation: 5-3=2
Current State: 47:[57, 20, 2], Operations: ['5-3=2']
Exploring Operation: 20/2=10, Resulting Numbers: [57, 10]
Generated Node #3: [57, 10] from Operation: 20/2=10
Current State: 47:[57, 10], Operations: ['5-3=2', '20/2=10']
Exploring Operation: 57-10=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[57, 20, 5, 3], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [57, 5, 60]
Generated Node #0,0: 47:[57, 5, 60] Operation: 20*3=60
Moving to Node #0,0
Current State: 47:[57, 5, 60], Operations: ['20*3=60']
Exploring Operation: 57-5=52, Resulting Numbers: [60, 52]
Generated Node #0,0,0: 47:[60, 52] Operation: 57-5=52
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 47:[60, 52], Operations: ['20*3=60', '57-5=52']
Exploring Operation: 60-52=8, Resulting Numbers: [8]
8,47 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 |
[
97,
49,
89,
47
] | 88 | [
"97-49=48",
"89+47=136",
"136-48=88"
] | Current State: 88:[97, 49, 89, 47], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [89, 47, 48]
Generated Node #2: [89, 47, 48] from Operation: 97-49=48
Current State: 88:[89, 47, 48], Operations: ['97-49=48']
Exploring Operation: 89+47=136, Resulting Numbers: [48, 136]
Generated Node #3: [48, 136] from Operation: 89+47=136
Current State: 88:[48, 136], Operations: ['97-49=48', '89+47=136']
Exploring Operation: 136-48=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[97, 49, 89, 47], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [49, 47, 8]
Generated Node #0,0: 88:[49, 47, 8] Operation: 97-89=8
Exploring Operation: 97-49=48, Resulting Numbers: [89, 47, 48]
Generated Node #0,1: 88:[89, 47, 48] Operation: 97-49=48
Moving to Node #0,0
Current State: 88:[49, 47, 8], Operations: ['97-89=8']
Exploring Operation: 49-47=2, Resulting Numbers: [8, 2]
Generated Node #0,0,0: 88:[8, 2] Operation: 49-47=2
Exploring Operation: 49-8=41, Resulting Numbers: [47, 41]
Generated Node #0,0,1: 88:[47, 41] Operation: 49-8=41
Moving to Node #0,1
Current State: 88:[89, 47, 48], Operations: ['97-49=48']
Exploring Operation: 48-47=1, Resulting Numbers: [89, 1]
Generated Node #0,1,0: 88:[89, 1] Operation: 48-47=1
Exploring Operation: 89-47=42, Resulting Numbers: [48, 42]
Generated Node #0,1,1: 88:[48, 42] Operation: 89-47=42
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 88:[89, 1], Operations: ['97-49=48', '48-47=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Moving to Node #0
Current State: 88:[97, 49, 89, 47], Operations: []
Exploring Operation: 97-49=48, Resulting Numbers: [89, 47, 48]
Generated Node #0,1: 88:[89, 47, 48] Operation: 97-49=48
Moving to Node #0,1
Current State: 88:[89, 47, 48], Operations: ['97-49=48']
Exploring Operation: 48-47=1, Resulting Numbers: [89, 1]
Generated Node #0,1,0: 88:[89, 1] Operation: 48-47=1
Moving to Node #0,1,0
Current State: 88:[89, 1], Operations: ['97-49=48', '48-47=1']
Exploring Operation: 89-1=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
61,
26,
14,
5
] | 53 | [
"26+14=40",
"40/5=8",
"61-8=53"
] | Current State: 53:[61, 26, 14, 5], Operations: []
Exploring Operation: 26+14=40, Resulting Numbers: [61, 5, 40]
Generated Node #2: [61, 5, 40] from Operation: 26+14=40
Current State: 53:[61, 5, 40], Operations: ['26+14=40']
Exploring Operation: 40/5=8, Resulting Numbers: [61, 8]
Generated Node #3: [61, 8] from Operation: 40/5=8
Current State: 53:[61, 8], Operations: ['26+14=40', '40/5=8']
Exploring Operation: 61-8=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[61, 26, 14, 5], Operations: []
Exploring Operation: 14*5=70, Resulting Numbers: [61, 26, 70]
Generated Node #0,0: 53:[61, 26, 70] Operation: 14*5=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[61, 26, 70], Operations: ['14*5=70']
Exploring Operation: 70-26=44, Resulting Numbers: [61, 44]
Generated Node #0,0,0: 53:[61, 44] Operation: 70-26=44
Moving to Node #0,0,0
Current State: 53:[61, 44], Operations: ['14*5=70', '70-26=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,53 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 |
[
56,
31,
49,
5
] | 76 | [
"56-31=25",
"5*25=125",
"125-49=76"
] | Current State: 76:[56, 31, 49, 5], Operations: []
Exploring Operation: 56-31=25, Resulting Numbers: [49, 5, 25]
Generated Node #2: [49, 5, 25] from Operation: 56-31=25
Current State: 76:[49, 5, 25], Operations: ['56-31=25']
Exploring Operation: 5*25=125, Resulting Numbers: [49, 125]
Generated Node #3: [49, 125] from Operation: 5*25=125
Current State: 76:[49, 125], Operations: ['56-31=25', '5*25=125']
Exploring Operation: 125-49=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[56, 31, 49, 5], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [31, 5, 7]
Generated Node #0,0: 76:[31, 5, 7] Operation: 56-49=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[31, 5, 7], Operations: ['56-49=7']
Exploring Operation: 31+7=38, Resulting Numbers: [5, 38]
Generated Node #0,0,0: 76:[5, 38] Operation: 31+7=38
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[5, 38], Operations: ['56-49=7', '31+7=38']
Exploring Operation: 5+38=43, Resulting Numbers: [43]
43,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
56,
34,
73,
96
] | 98 | [
"73-56=17",
"34/17=2",
"96+2=98"
] | Current State: 98:[56, 34, 73, 96], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [34, 96, 17]
Generated Node #2: [34, 96, 17] from Operation: 73-56=17
Current State: 98:[34, 96, 17], Operations: ['73-56=17']
Exploring Operation: 34/17=2, Resulting Numbers: [96, 2]
Generated Node #3: [96, 2] from Operation: 34/17=2
Current State: 98:[96, 2], Operations: ['73-56=17', '34/17=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 | Current State: 98:[56, 34, 73, 96], Operations: []
Exploring Operation: 56+34=90, Resulting Numbers: [73, 96, 90]
Generated Node #0,0: 98:[73, 96, 90] Operation: 56+34=90
Exploring Operation: 96-73=23, Resulting Numbers: [56, 34, 23]
Generated Node #0,1: 98:[56, 34, 23] Operation: 96-73=23
Exploring Operation: 73-34=39, Resulting Numbers: [56, 96, 39]
Generated Node #0,2: 98:[56, 96, 39] Operation: 73-34=39
Exploring Operation: 73-56=17, Resulting Numbers: [34, 96, 17]
Generated Node #0,3: 98:[34, 96, 17] Operation: 73-56=17
Exploring Operation: 34+73=107, Resulting Numbers: [56, 96, 107]
Generated Node #0,4: 98:[56, 96, 107] Operation: 34+73=107
Moving to Node #0,4
Current State: 98:[56, 96, 107], Operations: ['34+73=107']
Exploring Operation: 56+96=152, Resulting Numbers: [107, 152]
Generated Node #0,4,0: 98:[107, 152] Operation: 56+96=152
Exploring Operation: 107-56=51, Resulting Numbers: [96, 51]
Generated Node #0,4,1: 98:[96, 51] Operation: 107-56=51
Exploring Operation: 96-56=40, Resulting Numbers: [107, 40]
Generated Node #0,4,2: 98:[107, 40] Operation: 96-56=40
Exploring Operation: 56+107=163, Resulting Numbers: [96, 163]
Generated Node #0,4,3: 98:[96, 163] Operation: 56+107=163
Exploring Operation: 107-96=11, Resulting Numbers: [56, 11]
Generated Node #0,4,4: 98:[56, 11] Operation: 107-96=11
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 98:[96, 51], Operations: ['34+73=107', '107-56=51']
Exploring Operation: 96*51=4896, Resulting Numbers: [4896]
4896,98 unequal: No Solution
Exploring Operation: 96+51=147, Resulting Numbers: [147]
147,98 unequal: No Solution
Exploring Operation: 96-51=45, Resulting Numbers: [45]
45,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 98:[56, 11], Operations: ['34+73=107', '107-96=11']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 56*11=616, Resulting Numbers: [616]
616,98 unequal: No Solution
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 98:[107, 40], Operations: ['34+73=107', '96-56=40']
Exploring Operation: 107*40=4280, Resulting Numbers: [4280]
4280,98 unequal: No Solution
Exploring Operation: 107+40=147, Resulting Numbers: [147]
147,98 unequal: No Solution
Exploring Operation: 107-40=67, Resulting Numbers: [67]
67,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 98:[107, 152], Operations: ['34+73=107', '56+96=152']
Exploring Operation: 152-107=45, Resulting Numbers: [45]
45,98 unequal: No Solution
Exploring Operation: 107+152=259, Resulting Numbers: [259]
259,98 unequal: No Solution
Exploring Operation: 107*152=16264, Resulting Numbers: [16264]
16264,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 98:[96, 163], Operations: ['34+73=107', '56+107=163']
Exploring Operation: 96+163=259, Resulting Numbers: [259]
259,98 unequal: No Solution
Exploring Operation: 163-96=67, Resulting Numbers: [67]
67,98 unequal: No Solution
Exploring Operation: 96*163=15648, Resulting Numbers: [15648]
15648,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 98:[56, 96, 39], Operations: ['73-34=39']
Exploring Operation: 56+39=95, Resulting Numbers: [96, 95]
Generated Node #0,2,0: 98:[96, 95] Operation: 56+39=95
Exploring Operation: 56-39=17, Resulting Numbers: [96, 17]
Generated Node #0,2,1: 98:[96, 17] Operation: 56-39=17
Exploring Operation: 96-56=40, Resulting Numbers: [39, 40]
Generated Node #0,2,2: 98:[39, 40] Operation: 96-56=40
Exploring Operation: 96-39=57, Resulting Numbers: [56, 57]
Generated Node #0,2,3: 98:[56, 57] Operation: 96-39=57
Exploring Operation: 96+39=135, Resulting Numbers: [56, 135]
Generated Node #0,2,4: 98:[56, 135] Operation: 96+39=135
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 98:[96, 95], Operations: ['73-34=39', '56+39=95']
Exploring Operation: 96+95=191, Resulting Numbers: [191]
191,98 unequal: No Solution
Exploring Operation: 96*95=9120, Resulting Numbers: [9120]
9120,98 unequal: No Solution
Exploring Operation: 96-95=1, Resulting Numbers: [1]
1,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 98:[96, 17], Operations: ['73-34=39', '56-39=17']
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,98 unequal: No Solution
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,98 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 98:[56, 57], Operations: ['73-34=39', '96-39=57']
Exploring Operation: 57-56=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 56*57=3192, Resulting Numbers: [3192]
3192,98 unequal: No Solution
Exploring Operation: 56+57=113, Resulting Numbers: [113]
113,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 98:[39, 40], Operations: ['73-34=39', '96-56=40']
Exploring Operation: 40-39=1, Resulting Numbers: [1]
1,98 unequal: No Solution
Exploring Operation: 39*40=1560, Resulting Numbers: [1560]
1560,98 unequal: No Solution
Exploring Operation: 39+40=79, Resulting Numbers: [79]
79,98 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 98:[56, 135], Operations: ['73-34=39', '96+39=135']
Exploring Operation: 56+135=191, Resulting Numbers: [191]
191,98 unequal: No Solution
Exploring Operation: 56*135=7560, Resulting Numbers: [7560]
7560,98 unequal: No Solution
Exploring Operation: 135-56=79, Resulting Numbers: [79]
79,98 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: 98:[34, 96, 17], Operations: ['73-56=17']
Exploring Operation: 96-34=62, Resulting Numbers: [17, 62]
Generated Node #0,3,0: 98:[17, 62] Operation: 96-34=62
Exploring Operation: 96+17=113, Resulting Numbers: [34, 113]
Generated Node #0,3,1: 98:[34, 113] Operation: 96+17=113
Exploring Operation: 34+17=51, Resulting Numbers: [96, 51]
Generated Node #0,3,2: 98:[96, 51] Operation: 34+17=51
Exploring Operation: 34/17=2, Resulting Numbers: [96, 2]
Generated Node #0,3,3: 98:[96, 2] Operation: 34/17=2
Exploring Operation: 34-17=17, Resulting Numbers: [96, 17]
Generated Node #0,3,4: 98:[96, 17] Operation: 34-17=17
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 98:[96, 2], Operations: ['73-56=17', '34/17=2']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,98 unequal: No Solution
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Moving to Node #0
Current State: 98:[56, 34, 73, 96], Operations: []
Exploring Operation: 73-56=17, Resulting Numbers: [34, 96, 17]
Generated Node #0,3: 98:[34, 96, 17] Operation: 73-56=17
Moving to Node #0,3
Current State: 98:[34, 96, 17], Operations: ['73-56=17']
Exploring Operation: 34/17=2, Resulting Numbers: [96, 2]
Generated Node #0,3,3: 98:[96, 2] Operation: 34/17=2
Moving to Node #0,3,3
Current State: 98:[96, 2], Operations: ['73-56=17', '34/17=2']
Exploring Operation: 96+2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
Exit Sub Search at level 1
| 0.951389 | hs_5 | sum_heuristic |
[
27,
70,
58,
84
] | 71 | [
"27+70=97",
"84-58=26",
"97-26=71"
] | Current State: 71:[27, 70, 58, 84], Operations: []
Exploring Operation: 27+70=97, Resulting Numbers: [58, 84, 97]
Generated Node #2: [58, 84, 97] from Operation: 27+70=97
Current State: 71:[58, 84, 97], Operations: ['27+70=97']
Exploring Operation: 84-58=26, Resulting Numbers: [97, 26]
Generated Node #3: [97, 26] from Operation: 84-58=26
Current State: 71:[97, 26], Operations: ['27+70=97', '84-58=26']
Exploring Operation: 97-26=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[27, 70, 58, 84], Operations: []
Exploring Operation: 27+58=85, Resulting Numbers: [70, 84, 85]
Generated Node #0,0: 71:[70, 84, 85] Operation: 27+58=85
Start Sub Search at level 1: Moving to Node #0,0
Current State: 71:[70, 84, 85], Operations: ['27+58=85']
Exploring Operation: 85-70=15, Resulting Numbers: [84, 15]
Generated Node #0,0,0: 71:[84, 15] Operation: 85-70=15
Moving to Node #0,0,0
Current State: 71:[84, 15], Operations: ['27+58=85', '85-70=15']
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
3,
84,
90,
60
] | 78 | [
"84+90=174",
"60+174=234",
"234/3=78"
] | Current State: 78:[3, 84, 90, 60], Operations: []
Exploring Operation: 84+90=174, Resulting Numbers: [3, 60, 174]
Generated Node #2: [3, 60, 174] from Operation: 84+90=174
Current State: 78:[3, 60, 174], Operations: ['84+90=174']
Exploring Operation: 60+174=234, Resulting Numbers: [3, 234]
Generated Node #3: [3, 234] from Operation: 60+174=234
Current State: 78:[3, 234], Operations: ['84+90=174', '60+174=234']
Exploring Operation: 234/3=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 | Current State: 78:[3, 84, 90, 60], Operations: []
Exploring Operation: 90-84=6, Resulting Numbers: [3, 60, 6]
Generated Node #0,0: 78:[3, 60, 6] Operation: 90-84=6
Exploring Operation: 90-60=30, Resulting Numbers: [3, 84, 30]
Generated Node #0,1: 78:[3, 84, 30] Operation: 90-60=30
Exploring Operation: 84-60=24, Resulting Numbers: [3, 90, 24]
Generated Node #0,2: 78:[3, 90, 24] Operation: 84-60=24
Moving to Node #0,1
Current State: 78:[3, 84, 30], Operations: ['90-60=30']
Exploring Operation: 84-3=81, Resulting Numbers: [30, 81]
Generated Node #0,1,0: 78:[30, 81] Operation: 84-3=81
Exploring Operation: 30-3=27, Resulting Numbers: [84, 27]
Generated Node #0,1,1: 78:[84, 27] Operation: 30-3=27
Exploring Operation: 84/3=28, Resulting Numbers: [30, 28]
Generated Node #0,1,2: 78:[30, 28] Operation: 84/3=28
Moving to Node #0,2
Current State: 78:[3, 90, 24], Operations: ['84-60=24']
Exploring Operation: 90-24=66, Resulting Numbers: [3, 66]
Generated Node #0,2,0: 78:[3, 66] Operation: 90-24=66
Exploring Operation: 90/3=30, Resulting Numbers: [24, 30]
Generated Node #0,2,1: 78:[24, 30] Operation: 90/3=30
Exploring Operation: 90-3=87, Resulting Numbers: [24, 87]
Generated Node #0,2,2: 78:[24, 87] Operation: 90-3=87
Moving to Node #0,0
Current State: 78:[3, 60, 6], Operations: ['90-84=6']
Exploring Operation: 60/6=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 78:[3, 10] Operation: 60/6=10
Exploring Operation: 60+6=66, Resulting Numbers: [3, 66]
Generated Node #0,0,1: 78:[3, 66] Operation: 60+6=66
Exploring Operation: 60/3=20, Resulting Numbers: [6, 20]
Generated Node #0,0,2: 78:[6, 20] Operation: 60/3=20
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 78:[3, 10], Operations: ['90-84=6', '60/6=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,78 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,78 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 78:[6, 20], Operations: ['90-84=6', '60/3=20']
Exploring Operation: 6*20=120, Resulting Numbers: [120]
120,78 unequal: No Solution
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,78 unequal: No Solution
Exploring Operation: 6+20=26, Resulting Numbers: [26]
26,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 78:[3, 66], Operations: ['90-84=6', '60+6=66']
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,78 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1,2
Current State: 78:[30, 28], Operations: ['90-60=30', '84/3=28']
Exploring Operation: 30+28=58, Resulting Numbers: [58]
58,78 unequal: No Solution
Exploring Operation: 30*28=840, Resulting Numbers: [840]
840,78 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Moving to Node #0,2,1
Current State: 78:[24, 30], Operations: ['84-60=24', '90/3=30']
Exploring Operation: 30-24=6, Resulting Numbers: [6]
6,78 unequal: No Solution
Exploring Operation: 24*30=720, Resulting Numbers: [720]
720,78 unequal: No Solution
Exploring Operation: 24+30=54, Resulting Numbers: [54]
54,78 unequal: No Solution
Moving to Node #0,1,1
Current State: 78:[84, 27], Operations: ['90-60=30', '30-3=27']
Exploring Operation: 84+27=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 84-27=57, Resulting Numbers: [57]
57,78 unequal: No Solution
Exploring Operation: 84*27=2268, Resulting Numbers: [2268]
2268,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[30, 81], Operations: ['90-60=30', '84-3=81']
Exploring Operation: 30*81=2430, Resulting Numbers: [2430]
2430,78 unequal: No Solution
Exploring Operation: 30+81=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 81-30=51, Resulting Numbers: [51]
51,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[24, 87], Operations: ['84-60=24', '90-3=87']
Exploring Operation: 24*87=2088, Resulting Numbers: [2088]
2088,78 unequal: No Solution
Exploring Operation: 24+87=111, Resulting Numbers: [111]
111,78 unequal: No Solution
Exploring Operation: 87-24=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Moving to Node #0,2,0
Current State: 78:[3, 66], Operations: ['84-60=24', '90-24=66']
Exploring Operation: 66-3=63, Resulting Numbers: [63]
63,78 unequal: No Solution
Exploring Operation: 3+66=69, Resulting Numbers: [69]
69,78 unequal: No Solution
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,78 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
90,
83,
92,
21
] | 41 | [
"92-90=2",
"21*2=42",
"83-42=41"
] | Current State: 41:[90, 83, 92, 21], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [83, 21, 2]
Generated Node #2: [83, 21, 2] from Operation: 92-90=2
Current State: 41:[83, 21, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [83, 42]
Generated Node #3: [83, 42] from Operation: 21*2=42
Current State: 41:[83, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 | Current State: 41:[90, 83, 92, 21], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [83, 21, 2]
Generated Node #0,0: 41:[83, 21, 2] Operation: 92-90=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 41:[83, 21, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [83, 42]
Generated Node #0,0,0: 41:[83, 42] Operation: 21*2=42
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 41:[83, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[90, 83, 92, 21], Operations: []
Exploring Operation: 92-90=2, Resulting Numbers: [83, 21, 2]
Generated Node #0,0: 41:[83, 21, 2] Operation: 92-90=2
Moving to Node #0,0
Current State: 41:[83, 21, 2], Operations: ['92-90=2']
Exploring Operation: 21*2=42, Resulting Numbers: [83, 42]
Generated Node #0,0,0: 41:[83, 42] Operation: 21*2=42
Moving to Node #0,0,0
Current State: 41:[83, 42], Operations: ['92-90=2', '21*2=42']
Exploring Operation: 83-42=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
84,
27,
20,
75
] | 23 | [
"84-75=9",
"27/9=3",
"20+3=23"
] | Current State: 23:[84, 27, 20, 75], Operations: []
Exploring Operation: 84-75=9, Resulting Numbers: [27, 20, 9]
Generated Node #2: [27, 20, 9] from Operation: 84-75=9
Current State: 23:[27, 20, 9], Operations: ['84-75=9']
Exploring Operation: 27/9=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 27/9=3
Current State: 23:[20, 3], Operations: ['84-75=9', '27/9=3']
Exploring Operation: 20+3=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 | Current State: 23:[84, 27, 20, 75], Operations: []
Exploring Operation: 84-27=57, Resulting Numbers: [20, 75, 57]
Generated Node #0,0: 23:[20, 75, 57] Operation: 84-27=57
Exploring Operation: 75-27=48, Resulting Numbers: [84, 20, 48]
Generated Node #0,1: 23:[84, 20, 48] Operation: 75-27=48
Exploring Operation: 84-20=64, Resulting Numbers: [27, 75, 64]
Generated Node #0,2: 23:[27, 75, 64] Operation: 84-20=64
Exploring Operation: 84-75=9, Resulting Numbers: [27, 20, 9]
Generated Node #0,3: 23:[27, 20, 9] Operation: 84-75=9
Moving to Node #0,3
Current State: 23:[27, 20, 9], Operations: ['84-75=9']
Exploring Operation: 20-9=11, Resulting Numbers: [27, 11]
Generated Node #0,3,0: 23:[27, 11] Operation: 20-9=11
Exploring Operation: 27-9=18, Resulting Numbers: [20, 18]
Generated Node #0,3,1: 23:[20, 18] Operation: 27-9=18
Exploring Operation: 27+9=36, Resulting Numbers: [20, 36]
Generated Node #0,3,2: 23:[20, 36] Operation: 27+9=36
Exploring Operation: 20+9=29, Resulting Numbers: [27, 29]
Generated Node #0,3,3: 23:[27, 29] Operation: 20+9=29
Moving to Node #0,1
Current State: 23:[84, 20, 48], Operations: ['75-27=48']
Exploring Operation: 48-20=28, Resulting Numbers: [84, 28]
Generated Node #0,1,0: 23:[84, 28] Operation: 48-20=28
Exploring Operation: 84-48=36, Resulting Numbers: [20, 36]
Generated Node #0,1,1: 23:[20, 36] Operation: 84-48=36
Exploring Operation: 84+20=104, Resulting Numbers: [48, 104]
Generated Node #0,1,2: 23:[48, 104] Operation: 84+20=104
Exploring Operation: 84-20=64, Resulting Numbers: [48, 64]
Generated Node #0,1,3: 23:[48, 64] Operation: 84-20=64
Moving to Node #0,0
Current State: 23:[20, 75, 57], Operations: ['84-27=57']
Exploring Operation: 75-57=18, Resulting Numbers: [20, 18]
Generated Node #0,0,0: 23:[20, 18] Operation: 75-57=18
Exploring Operation: 57-20=37, Resulting Numbers: [75, 37]
Generated Node #0,0,1: 23:[75, 37] Operation: 57-20=37
Exploring Operation: 75-20=55, Resulting Numbers: [57, 55]
Generated Node #0,0,2: 23:[57, 55] Operation: 75-20=55
Exploring Operation: 20+75=95, Resulting Numbers: [57, 95]
Generated Node #0,0,3: 23:[57, 95] Operation: 20+75=95
Moving to Node #0,2
Current State: 23:[27, 75, 64], Operations: ['84-20=64']
Exploring Operation: 75-64=11, Resulting Numbers: [27, 11]
Generated Node #0,2,0: 23:[27, 11] Operation: 75-64=11
Exploring Operation: 27+75=102, Resulting Numbers: [64, 102]
Generated Node #0,2,1: 23:[64, 102] Operation: 27+75=102
Exploring Operation: 75-27=48, Resulting Numbers: [64, 48]
Generated Node #0,2,2: 23:[64, 48] Operation: 75-27=48
Exploring Operation: 64-27=37, Resulting Numbers: [75, 37]
Generated Node #0,2,3: 23:[75, 37] Operation: 64-27=37
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 23:[27, 11], Operations: ['84-20=64', '75-64=11']
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 23:[64, 48], Operations: ['84-20=64', '75-27=48']
Exploring Operation: 64*48=3072, Resulting Numbers: [3072]
3072,23 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 64+48=112, Resulting Numbers: [112]
112,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 23:[75, 37], Operations: ['84-20=64', '64-27=37']
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,23 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,23 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 23:[64, 102], Operations: ['84-20=64', '27+75=102']
Exploring Operation: 64+102=166, Resulting Numbers: [166]
166,23 unequal: No Solution
Exploring Operation: 102-64=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 64*102=6528, Resulting Numbers: [6528]
6528,23 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: 23:[20, 18], Operations: ['84-75=9', '27-9=18']
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[20, 18], Operations: ['84-27=57', '75-57=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 20-18=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 20*18=360, Resulting Numbers: [360]
360,23 unequal: No Solution
Moving to Node #0,3,3
Current State: 23:[27, 29], Operations: ['84-75=9', '20+9=29']
Exploring Operation: 27+29=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 29-27=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 27*29=783, Resulting Numbers: [783]
783,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[27, 11], Operations: ['84-75=9', '20-9=11']
Exploring Operation: 27*11=297, Resulting Numbers: [297]
297,23 unequal: No Solution
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 27+11=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[20, 36], Operations: ['75-27=48', '84-48=36']
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,23 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[20, 36], Operations: ['84-75=9', '27+9=36']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 20+36=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 20*36=720, Resulting Numbers: [720]
720,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[48, 64], Operations: ['75-27=48', '84-20=64']
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,23 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[84, 28], Operations: ['75-27=48', '48-20=28']
Exploring Operation: 84*28=2352, Resulting Numbers: [2352]
2352,23 unequal: No Solution
Exploring Operation: 84+28=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Exploring Operation: 84/28=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[57, 55], Operations: ['84-27=57', '75-20=55']
Exploring Operation: 57*55=3135, Resulting Numbers: [3135]
3135,23 unequal: No Solution
Exploring Operation: 57+55=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[75, 37], Operations: ['84-27=57', '57-20=37']
Exploring Operation: 75+37=112, Resulting Numbers: [112]
112,23 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 75*37=2775, Resulting Numbers: [2775]
2775,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[48, 104], Operations: ['75-27=48', '84+20=104']
Exploring Operation: 48*104=4992, Resulting Numbers: [4992]
4992,23 unequal: No Solution
Exploring Operation: 48+104=152, Resulting Numbers: [152]
152,23 unequal: No Solution
Exploring Operation: 104-48=56, Resulting Numbers: [56]
56,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[57, 95], Operations: ['84-27=57', '20+75=95']
Exploring Operation: 57+95=152, Resulting Numbers: [152]
152,23 unequal: No Solution
Exploring Operation: 95-57=38, Resulting Numbers: [38]
38,23 unequal: No Solution
Exploring Operation: 57*95=5415, Resulting Numbers: [5415]
5415,23 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
2,
81,
61,
71
] | 30 | [
"2*81=162",
"61+71=132",
"162-132=30"
] | Current State: 30:[2, 81, 61, 71], Operations: []
Exploring Operation: 2*81=162, Resulting Numbers: [61, 71, 162]
Generated Node #2: [61, 71, 162] from Operation: 2*81=162
Current State: 30:[61, 71, 162], Operations: ['2*81=162']
Exploring Operation: 61+71=132, Resulting Numbers: [162, 132]
Generated Node #3: [162, 132] from Operation: 61+71=132
Current State: 30:[162, 132], Operations: ['2*81=162', '61+71=132']
Exploring Operation: 162-132=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[2, 81, 61, 71], Operations: []
Exploring Operation: 81-61=20, Resulting Numbers: [2, 71, 20]
Generated Node #0,0: 30:[2, 71, 20] Operation: 81-61=20
Exploring Operation: 81-71=10, Resulting Numbers: [2, 61, 10]
Generated Node #0,1: 30:[2, 61, 10] Operation: 81-71=10
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[2, 61, 10], Operations: ['81-71=10']
Exploring Operation: 61-2=59, Resulting Numbers: [10, 59]
Generated Node #0,1,0: 30:[10, 59] Operation: 61-2=59
Exploring Operation: 61-10=51, Resulting Numbers: [2, 51]
Generated Node #0,1,1: 30:[2, 51] Operation: 61-10=51
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[2, 51], Operations: ['81-71=10', '61-10=51']
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 30:[10, 59], Operations: ['81-71=10', '61-2=59']
Exploring Operation: 10+59=69, Resulting Numbers: [69]
69,30 unequal: No Solution
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[2, 71, 20], Operations: ['81-61=20']
Exploring Operation: 71-20=51, Resulting Numbers: [2, 51]
Generated Node #0,0,0: 30:[2, 51] Operation: 71-20=51
Exploring Operation: 20/2=10, Resulting Numbers: [71, 10]
Generated Node #0,0,1: 30:[71, 10] Operation: 20/2=10
Moving to Node #0,0,0
Current State: 30:[2, 51], Operations: ['81-61=20', '71-20=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,30 unequal: No Solution
Exploring Operation: 2+51=53, Resulting Numbers: [53]
53,30 unequal: No Solution
Moving to Node #0,0,1
Current State: 30:[71, 10], Operations: ['81-61=20', '20/2=10']
Exploring Operation: 71+10=81, Resulting Numbers: [81]
81,30 unequal: No Solution
Exploring Operation: 71-10=61, Resulting Numbers: [61]
61,30 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
51,
6,
58,
24
] | 25 | [
"51+6=57",
"58+24=82",
"82-57=25"
] | Current State: 25:[51, 6, 58, 24], Operations: []
Exploring Operation: 51+6=57, Resulting Numbers: [58, 24, 57]
Generated Node #2: [58, 24, 57] from Operation: 51+6=57
Current State: 25:[58, 24, 57], Operations: ['51+6=57']
Exploring Operation: 58+24=82, Resulting Numbers: [57, 82]
Generated Node #3: [57, 82] from Operation: 58+24=82
Current State: 25:[57, 82], Operations: ['51+6=57', '58+24=82']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[51, 6, 58, 24], Operations: []
Exploring Operation: 58-24=34, Resulting Numbers: [51, 6, 34]
Generated Node #0,0: 25:[51, 6, 34] Operation: 58-24=34
Exploring Operation: 58-51=7, Resulting Numbers: [6, 24, 7]
Generated Node #0,1: 25:[6, 24, 7] Operation: 58-51=7
Exploring Operation: 51-24=27, Resulting Numbers: [6, 58, 27]
Generated Node #0,2: 25:[6, 58, 27] Operation: 51-24=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 25:[6, 24, 7], Operations: ['58-51=7']
Exploring Operation: 6+24=30, Resulting Numbers: [7, 30]
Generated Node #0,1,0: 25:[7, 30] Operation: 6+24=30
Exploring Operation: 24/6=4, Resulting Numbers: [7, 4]
Generated Node #0,1,1: 25:[7, 4] Operation: 24/6=4
Exploring Operation: 7-6=1, Resulting Numbers: [24, 1]
Generated Node #0,1,2: 25:[24, 1] Operation: 7-6=1
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 25:[7, 4], Operations: ['58-51=7', '24/6=4']
Exploring Operation: 7-4=3, Resulting Numbers: [3]
3,25 unequal: No Solution
Exploring Operation: 7+4=11, Resulting Numbers: [11]
11,25 unequal: No Solution
Exploring Operation: 7*4=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No 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: 25:[24, 1], Operations: ['58-51=7', '7-6=1']
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 24*1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[51, 6, 58, 24], Operations: []
Exploring Operation: 58-51=7, Resulting Numbers: [6, 24, 7]
Generated Node #0,1: 25:[6, 24, 7] Operation: 58-51=7
Moving to Node #0,1
Current State: 25:[6, 24, 7], Operations: ['58-51=7']
Exploring Operation: 7-6=1, Resulting Numbers: [24, 1]
Generated Node #0,1,2: 25:[24, 1] Operation: 7-6=1
Moving to Node #0,1,2
Current State: 25:[24, 1], Operations: ['58-51=7', '7-6=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_3 | mult_heuristic |
[
53,
45,
97,
20
] | 21 | [
"53+45=98",
"97-20=77",
"98-77=21"
] | Current State: 21:[53, 45, 97, 20], Operations: []
Exploring Operation: 53+45=98, Resulting Numbers: [97, 20, 98]
Generated Node #2: [97, 20, 98] from Operation: 53+45=98
Current State: 21:[97, 20, 98], Operations: ['53+45=98']
Exploring Operation: 97-20=77, Resulting Numbers: [98, 77]
Generated Node #3: [98, 77] from Operation: 97-20=77
Current State: 21:[98, 77], Operations: ['53+45=98', '97-20=77']
Exploring Operation: 98-77=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 | Current State: 21:[53, 45, 97, 20], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [45, 20, 44]
Generated Node #0,0: 21:[45, 20, 44] Operation: 97-53=44
Exploring Operation: 53-45=8, Resulting Numbers: [97, 20, 8]
Generated Node #0,1: 21:[97, 20, 8] Operation: 53-45=8
Exploring Operation: 97-45=52, Resulting Numbers: [53, 20, 52]
Generated Node #0,2: 21:[53, 20, 52] Operation: 97-45=52
Start Sub Search at level 1: Moving to Node #0,0
Current State: 21:[45, 20, 44], Operations: ['97-53=44']
Exploring Operation: 45-20=25, Resulting Numbers: [44, 25]
Generated Node #0,0,0: 21:[44, 25] Operation: 45-20=25
Exploring Operation: 45-44=1, Resulting Numbers: [20, 1]
Generated Node #0,0,1: 21:[20, 1] Operation: 45-44=1
Exploring Operation: 44-20=24, Resulting Numbers: [45, 24]
Generated Node #0,0,2: 21:[45, 24] Operation: 44-20=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 21:[20, 1], Operations: ['97-53=44', '45-44=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,21 unequal: No Solution
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:[53, 45, 97, 20], Operations: []
Exploring Operation: 97-53=44, Resulting Numbers: [45, 20, 44]
Generated Node #0,0: 21:[45, 20, 44] Operation: 97-53=44
Moving to Node #0,0
Current State: 21:[45, 20, 44], Operations: ['97-53=44']
Exploring Operation: 45-44=1, Resulting Numbers: [20, 1]
Generated Node #0,0,1: 21:[20, 1] Operation: 45-44=1
Moving to Node #0,0,1
Current State: 21:[20, 1], Operations: ['97-53=44', '45-44=1']
Exploring Operation: 20+1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
53,
18,
73,
57
] | 87 | [
"53+18=71",
"73-57=16",
"71+16=87"
] | Current State: 87:[53, 18, 73, 57], Operations: []
Exploring Operation: 53+18=71, Resulting Numbers: [73, 57, 71]
Generated Node #2: [73, 57, 71] from Operation: 53+18=71
Current State: 87:[73, 57, 71], Operations: ['53+18=71']
Exploring Operation: 73-57=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 73-57=16
Current State: 87:[71, 16], Operations: ['53+18=71', '73-57=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[53, 18, 73, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [18, 73, 4]
Generated Node #0,0: 87:[18, 73, 4] Operation: 57-53=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[18, 73, 4], Operations: ['57-53=4']
Exploring Operation: 18+73=91, Resulting Numbers: [4, 91]
Generated Node #0,0,0: 87:[4, 91] Operation: 18+73=91
Moving to Node #0,0,0
Current State: 87:[4, 91], Operations: ['57-53=4', '18+73=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[53, 18, 73, 57], Operations: []
Exploring Operation: 57-53=4, Resulting Numbers: [18, 73, 4]
Generated Node #0,0: 87:[18, 73, 4] Operation: 57-53=4
Moving to Node #0,0
Current State: 87:[18, 73, 4], Operations: ['57-53=4']
Exploring Operation: 18+73=91, Resulting Numbers: [4, 91]
Generated Node #0,0,0: 87:[4, 91] Operation: 18+73=91
Moving to Node #0,0,0
Current State: 87:[4, 91], Operations: ['57-53=4', '18+73=91']
Exploring Operation: 91-4=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.