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 |
|---|---|---|---|---|---|---|---|---|
[
29,
82,
61,
59
] | 67 | [
"82-29=53",
"61+59=120",
"120-53=67"
] | Current State: 67:[29, 82, 61, 59], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [61, 59, 53]
Generated Node #2: [61, 59, 53] from Operation: 82-29=53
Current State: 67:[61, 59, 53], Operations: ['82-29=53']
Exploring Operation: 61+59=120, Resulting Numbers: [53, 120]
Generated Node #3: [53, 120] from Operation: 61+59=120
Current State: 67:[53, 120], Operations: ['82-29=53', '61+59=120']
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[29, 82, 61, 59], Operations: []
Exploring Operation: 29+59=88, Resulting Numbers: [82, 61, 88]
Generated Node #0,0: 67:[82, 61, 88] Operation: 29+59=88
Exploring Operation: 29+82=111, Resulting Numbers: [61, 59, 111]
Generated Node #0,1: 67:[61, 59, 111] Operation: 29+82=111
Exploring Operation: 29+61=90, Resulting Numbers: [82, 59, 90]
Generated Node #0,2: 67:[82, 59, 90] Operation: 29+61=90
Exploring Operation: 82-29=53, Resulting Numbers: [61, 59, 53]
Generated Node #0,3: 67:[61, 59, 53] Operation: 82-29=53
Start Sub Search at level 1: Moving to Node #0,3
Current State: 67:[61, 59, 53], Operations: ['82-29=53']
Exploring Operation: 61+53=114, Resulting Numbers: [59, 114]
Generated Node #0,3,0: 67:[59, 114] Operation: 61+53=114
Exploring Operation: 61+59=120, Resulting Numbers: [53, 120]
Generated Node #0,3,1: 67:[53, 120] Operation: 61+59=120
Exploring Operation: 61-53=8, Resulting Numbers: [59, 8]
Generated Node #0,3,2: 67:[59, 8] Operation: 61-53=8
Exploring Operation: 59+53=112, Resulting Numbers: [61, 112]
Generated Node #0,3,3: 67:[61, 112] Operation: 59+53=112
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 67:[61, 112], Operations: ['82-29=53', '59+53=112']
Exploring Operation: 61*112=6832, Resulting Numbers: [6832]
6832,67 unequal: No Solution
Exploring Operation: 112-61=51, Resulting Numbers: [51]
51,67 unequal: No Solution
Exploring Operation: 61+112=173, Resulting Numbers: [173]
173,67 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 #0,3,0
Current State: 67:[59, 114], Operations: ['82-29=53', '61+53=114']
Exploring Operation: 114-59=55, Resulting Numbers: [55]
55,67 unequal: No Solution
Exploring Operation: 59+114=173, Resulting Numbers: [173]
173,67 unequal: No Solution
Exploring Operation: 59*114=6726, Resulting Numbers: [6726]
6726,67 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 #0,3,1
Current State: 67:[53, 120], Operations: ['82-29=53', '61+59=120']
Exploring Operation: 53*120=6360, Resulting Numbers: [6360]
6360,67 unequal: No Solution
Exploring Operation: 53+120=173, Resulting Numbers: [173]
173,67 unequal: No Solution
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[29, 82, 61, 59], Operations: []
Exploring Operation: 82-29=53, Resulting Numbers: [61, 59, 53]
Generated Node #0,3: 67:[61, 59, 53] Operation: 82-29=53
Moving to Node #0,3
Current State: 67:[61, 59, 53], Operations: ['82-29=53']
Exploring Operation: 61+59=120, Resulting Numbers: [53, 120]
Generated Node #0,3,1: 67:[53, 120] Operation: 61+59=120
Moving to Node #0,3,1
Current State: 67:[53, 120], Operations: ['82-29=53', '61+59=120']
Exploring Operation: 120-53=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.981771 | hs_4 | mult_heuristic |
[
93,
91,
18,
72
] | 27 | [
"93-91=2",
"72-18=54",
"54/2=27"
] | Current State: 27:[93, 91, 18, 72], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [18, 72, 2]
Generated Node #2: [18, 72, 2] from Operation: 93-91=2
Current State: 27:[18, 72, 2], Operations: ['93-91=2']
Exploring Operation: 72-18=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 72-18=54
Current State: 27:[2, 54], Operations: ['93-91=2', '72-18=54']
Exploring Operation: 54/2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[93, 91, 18, 72], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [18, 72, 2]
Generated Node #0,0: 27:[18, 72, 2] Operation: 93-91=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 27:[18, 72, 2], Operations: ['93-91=2']
Exploring Operation: 72/18=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 27:[2, 4] Operation: 72/18=4
Moving to Node #0,0,0
Current State: 27:[2, 4], Operations: ['93-91=2', '72/18=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
76,
79,
96,
27
] | 87 | [
"79-76=3",
"27/3=9",
"96-9=87"
] | Current State: 87:[76, 79, 96, 27], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [96, 27, 3]
Generated Node #2: [96, 27, 3] from Operation: 79-76=3
Current State: 87:[96, 27, 3], Operations: ['79-76=3']
Exploring Operation: 27/3=9, Resulting Numbers: [96, 9]
Generated Node #3: [96, 9] from Operation: 27/3=9
Current State: 87:[96, 9], Operations: ['79-76=3', '27/3=9']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[76, 79, 96, 27], Operations: []
Exploring Operation: 79-76=3, Resulting Numbers: [96, 27, 3]
Generated Node #0,0: 87:[96, 27, 3] Operation: 79-76=3
Exploring Operation: 96-76=20, Resulting Numbers: [79, 27, 20]
Generated Node #0,1: 87:[79, 27, 20] Operation: 96-76=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[96, 27, 3], Operations: ['79-76=3']
Exploring Operation: 96-3=93, Resulting Numbers: [27, 93]
Generated Node #0,0,0: 87:[27, 93] Operation: 96-3=93
Exploring Operation: 96/3=32, Resulting Numbers: [27, 32]
Generated Node #0,0,1: 87:[27, 32] Operation: 96/3=32
Moving to Node #0,0,1
Current State: 87:[27, 32], Operations: ['79-76=3', '96/3=32']
Exploring Operation: 27+32=59, Resulting Numbers: [59]
59,87 unequal: No Solution
Exploring Operation: 32-27=5, Resulting Numbers: [5]
5,87 unequal: No Solution
Moving to Node #0,0,0
Current State: 87:[27, 93], Operations: ['79-76=3', '96-3=93']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,87 unequal: No Solution
Exploring Operation: 27+93=120, Resulting Numbers: [120]
120,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[79, 27, 20], Operations: ['96-76=20']
Exploring Operation: 27-20=7, Resulting Numbers: [79, 7]
Generated Node #0,1,0: 87:[79, 7] Operation: 27-20=7
Exploring Operation: 79+20=99, Resulting Numbers: [27, 99]
Generated Node #0,1,1: 87:[27, 99] Operation: 79+20=99
Moving to Node #0,1,0
Current State: 87:[79, 7], Operations: ['96-76=20', '27-20=7']
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,87 unequal: No Solution
Moving to Node #0,1,1
Current State: 87:[27, 99], Operations: ['96-76=20', '79+20=99']
Exploring Operation: 99-27=72, Resulting Numbers: [72]
72,87 unequal: No Solution
Exploring Operation: 27+99=126, Resulting Numbers: [126]
126,87 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 |
[
78,
54,
26,
87
] | 89 | [
"78-54=24",
"26+87=113",
"113-24=89"
] | Current State: 89:[78, 54, 26, 87], Operations: []
Exploring Operation: 78-54=24, Resulting Numbers: [26, 87, 24]
Generated Node #2: [26, 87, 24] from Operation: 78-54=24
Current State: 89:[26, 87, 24], Operations: ['78-54=24']
Exploring Operation: 26+87=113, Resulting Numbers: [24, 113]
Generated Node #3: [24, 113] from Operation: 26+87=113
Current State: 89:[24, 113], Operations: ['78-54=24', '26+87=113']
Exploring Operation: 113-24=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[78, 54, 26, 87], Operations: []
Exploring Operation: 78+26=104, Resulting Numbers: [54, 87, 104]
Generated Node #0,0: 89:[54, 87, 104] Operation: 78+26=104
Exploring Operation: 54+26=80, Resulting Numbers: [78, 87, 80]
Generated Node #0,1: 89:[78, 87, 80] Operation: 54+26=80
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[78, 87, 80], Operations: ['54+26=80']
Exploring Operation: 78+80=158, Resulting Numbers: [87, 158]
Generated Node #0,1,0: 89:[87, 158] Operation: 78+80=158
Exploring Operation: 78+87=165, Resulting Numbers: [80, 165]
Generated Node #0,1,1: 89:[80, 165] Operation: 78+87=165
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 89:[87, 158], Operations: ['54+26=80', '78+80=158']
Exploring Operation: 158-87=71, Resulting Numbers: [71]
71,89 unequal: No Solution
Exploring Operation: 87+158=245, Resulting Numbers: [245]
245,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[80, 165], Operations: ['54+26=80', '78+87=165']
Exploring Operation: 80+165=245, Resulting Numbers: [245]
245,89 unequal: No Solution
Exploring Operation: 165-80=85, Resulting Numbers: [85]
85,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[54, 87, 104], Operations: ['78+26=104']
Exploring Operation: 104-54=50, Resulting Numbers: [87, 50]
Generated Node #0,0,0: 89:[87, 50] Operation: 104-54=50
Exploring Operation: 54+87=141, Resulting Numbers: [104, 141]
Generated Node #0,0,1: 89:[104, 141] Operation: 54+87=141
Moving to Node #0,0,0
Current State: 89:[87, 50], Operations: ['78+26=104', '104-54=50']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 87+50=137, Resulting Numbers: [137]
137,89 unequal: No Solution
Moving to Node #0,0,1
Current State: 89:[104, 141], Operations: ['78+26=104', '54+87=141']
Exploring Operation: 141-104=37, Resulting Numbers: [37]
37,89 unequal: No Solution
Exploring Operation: 104+141=245, Resulting Numbers: [245]
245,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
10,
33,
59,
73
] | 63 | [
"73-33=40",
"40/10=4",
"59+4=63"
] | Current State: 63:[10, 33, 59, 73], Operations: []
Exploring Operation: 73-33=40, Resulting Numbers: [10, 59, 40]
Generated Node #2: [10, 59, 40] from Operation: 73-33=40
Current State: 63:[10, 59, 40], Operations: ['73-33=40']
Exploring Operation: 40/10=4, Resulting Numbers: [59, 4]
Generated Node #3: [59, 4] from Operation: 40/10=4
Current State: 63:[59, 4], Operations: ['73-33=40', '40/10=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 | Current State: 63:[10, 33, 59, 73], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [59, 73, 23]
Generated Node #0,0: 63:[59, 73, 23] Operation: 33-10=23
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[59, 73, 23], Operations: ['33-10=23']
Exploring Operation: 73-59=14, Resulting Numbers: [23, 14]
Generated Node #0,0,0: 63:[23, 14] Operation: 73-59=14
Moving to Node #0,0,0
Current State: 63:[23, 14], Operations: ['33-10=23', '73-59=14']
Exploring Operation: 23-14=9, Resulting Numbers: [9]
9,63 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 |
[
5,
76,
27,
59
] | 38 | [
"59-5=54",
"76*27=2052",
"2052/54=38"
] | Current State: 38:[5, 76, 27, 59], Operations: []
Exploring Operation: 59-5=54, Resulting Numbers: [76, 27, 54]
Generated Node #2: [76, 27, 54] from Operation: 59-5=54
Current State: 38:[76, 27, 54], Operations: ['59-5=54']
Exploring Operation: 76*27=2052, Resulting Numbers: [54, 2052]
Generated Node #3: [54, 2052] from Operation: 76*27=2052
Current State: 38:[54, 2052], Operations: ['59-5=54', '76*27=2052']
Exploring Operation: 2052/54=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[5, 76, 27, 59], Operations: []
Exploring Operation: 59-27=32, Resulting Numbers: [5, 76, 32]
Generated Node #0,0: 38:[5, 76, 32] Operation: 59-27=32
Exploring Operation: 76-59=17, Resulting Numbers: [5, 27, 17]
Generated Node #0,1: 38:[5, 27, 17] Operation: 76-59=17
Exploring Operation: 76-27=49, Resulting Numbers: [5, 59, 49]
Generated Node #0,2: 38:[5, 59, 49] Operation: 76-27=49
Moving to Node #0,1
Current State: 38:[5, 27, 17], Operations: ['76-59=17']
Exploring Operation: 5+27=32, Resulting Numbers: [17, 32]
Generated Node #0,1,0: 38:[17, 32] Operation: 5+27=32
Exploring Operation: 27+17=44, Resulting Numbers: [5, 44]
Generated Node #0,1,1: 38:[5, 44] Operation: 27+17=44
Exploring Operation: 27-5=22, Resulting Numbers: [17, 22]
Generated Node #0,1,2: 38:[17, 22] Operation: 27-5=22
Moving to Node #0,2
Current State: 38:[5, 59, 49], Operations: ['76-27=49']
Exploring Operation: 49-5=44, Resulting Numbers: [59, 44]
Generated Node #0,2,0: 38:[59, 44] Operation: 49-5=44
Exploring Operation: 59-49=10, Resulting Numbers: [5, 10]
Generated Node #0,2,1: 38:[5, 10] Operation: 59-49=10
Exploring Operation: 59-5=54, Resulting Numbers: [49, 54]
Generated Node #0,2,2: 38:[49, 54] Operation: 59-5=54
Moving to Node #0,0
Current State: 38:[5, 76, 32], Operations: ['59-27=32']
Exploring Operation: 76-32=44, Resulting Numbers: [5, 44]
Generated Node #0,0,0: 38:[5, 44] Operation: 76-32=44
Exploring Operation: 5+32=37, Resulting Numbers: [76, 37]
Generated Node #0,0,1: 38:[76, 37] Operation: 5+32=37
Exploring Operation: 76-5=71, Resulting Numbers: [32, 71]
Generated Node #0,0,2: 38:[32, 71] Operation: 76-5=71
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 38:[5, 44], Operations: ['59-27=32', '76-32=44']
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,38 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 38:[76, 37], Operations: ['59-27=32', '5+32=37']
Exploring Operation: 76+37=113, Resulting Numbers: [113]
113,38 unequal: No Solution
Exploring Operation: 76*37=2812, Resulting Numbers: [2812]
2812,38 unequal: No Solution
Exploring Operation: 76-37=39, Resulting Numbers: [39]
39,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 38:[32, 71], Operations: ['59-27=32', '76-5=71']
Exploring Operation: 32+71=103, Resulting Numbers: [103]
103,38 unequal: No Solution
Exploring Operation: 71-32=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 32*71=2272, Resulting Numbers: [2272]
2272,38 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: 38:[17, 22], Operations: ['76-59=17', '27-5=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[17, 32], Operations: ['76-59=17', '5+27=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 17*32=544, Resulting Numbers: [544]
544,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[5, 44], Operations: ['76-59=17', '27+17=44']
Exploring Operation: 5+44=49, Resulting Numbers: [49]
49,38 unequal: No Solution
Exploring Operation: 5*44=220, Resulting Numbers: [220]
220,38 unequal: No Solution
Exploring Operation: 44-5=39, Resulting Numbers: [39]
39,38 unequal: No Solution
Moving to Node #0,2,1
Current State: 38:[5, 10], Operations: ['76-27=49', '59-49=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,38 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,2,2
Current State: 38:[49, 54], Operations: ['76-27=49', '59-5=54']
Exploring Operation: 49*54=2646, Resulting Numbers: [2646]
2646,38 unequal: No Solution
Exploring Operation: 49+54=103, Resulting Numbers: [103]
103,38 unequal: No Solution
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Moving to Node #0,2,0
Current State: 38:[59, 44], Operations: ['76-27=49', '49-5=44']
Exploring Operation: 59*44=2596, Resulting Numbers: [2596]
2596,38 unequal: No Solution
Exploring Operation: 59+44=103, Resulting Numbers: [103]
103,38 unequal: No Solution
Exploring Operation: 59-44=15, Resulting Numbers: [15]
15,38 unequal: No Solution
No solution found.
| 0 | hs_3 | mult_heuristic |
[
95,
9,
55,
13
] | 67 | [
"95+13=108",
"108/9=12",
"55+12=67"
] | Current State: 67:[95, 9, 55, 13], Operations: []
Exploring Operation: 95+13=108, Resulting Numbers: [9, 55, 108]
Generated Node #2: [9, 55, 108] from Operation: 95+13=108
Current State: 67:[9, 55, 108], Operations: ['95+13=108']
Exploring Operation: 108/9=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 108/9=12
Current State: 67:[55, 12], Operations: ['95+13=108', '108/9=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 | Current State: 67:[95, 9, 55, 13], Operations: []
Exploring Operation: 9+55=64, Resulting Numbers: [95, 13, 64]
Generated Node #0,0: 67:[95, 13, 64] Operation: 9+55=64
Exploring Operation: 95-13=82, Resulting Numbers: [9, 55, 82]
Generated Node #0,1: 67:[9, 55, 82] Operation: 95-13=82
Exploring Operation: 95-9=86, Resulting Numbers: [55, 13, 86]
Generated Node #0,2: 67:[55, 13, 86] Operation: 95-9=86
Start Sub Search at level 1: Moving to Node #0,0
Current State: 67:[95, 13, 64], Operations: ['9+55=64']
Exploring Operation: 95+13=108, Resulting Numbers: [64, 108]
Generated Node #0,0,0: 67:[64, 108] Operation: 95+13=108
Exploring Operation: 95-13=82, Resulting Numbers: [64, 82]
Generated Node #0,0,1: 67:[64, 82] Operation: 95-13=82
Exploring Operation: 13+64=77, Resulting Numbers: [95, 77]
Generated Node #0,0,2: 67:[95, 77] Operation: 13+64=77
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 67:[64, 82], Operations: ['9+55=64', '95-13=82']
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 64*82=5248, Resulting Numbers: [5248]
5248,67 unequal: No Solution
Exploring Operation: 64+82=146, Resulting Numbers: [146]
146,67 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 #0,0,2
Current State: 67:[95, 77], Operations: ['9+55=64', '13+64=77']
Exploring Operation: 95+77=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 95-77=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 95*77=7315, Resulting Numbers: [7315]
7315,67 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:[64, 108], Operations: ['9+55=64', '95+13=108']
Exploring Operation: 108-64=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 64+108=172, Resulting Numbers: [172]
172,67 unequal: No Solution
Exploring Operation: 64*108=6912, Resulting Numbers: [6912]
6912,67 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:[9, 55, 82], Operations: ['95-13=82']
Exploring Operation: 9+55=64, Resulting Numbers: [82, 64]
Generated Node #0,1,0: 67:[82, 64] Operation: 9+55=64
Exploring Operation: 82-9=73, Resulting Numbers: [55, 73]
Generated Node #0,1,1: 67:[55, 73] Operation: 82-9=73
Exploring Operation: 55-9=46, Resulting Numbers: [82, 46]
Generated Node #0,1,2: 67:[82, 46] Operation: 55-9=46
Moving to Node #0,1,0
Current State: 67:[82, 64], Operations: ['95-13=82', '9+55=64']
Exploring Operation: 82*64=5248, Resulting Numbers: [5248]
5248,67 unequal: No Solution
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 82+64=146, Resulting Numbers: [146]
146,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[55, 73], Operations: ['95-13=82', '82-9=73']
Exploring Operation: 55*73=4015, Resulting Numbers: [4015]
4015,67 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Exploring Operation: 55+73=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[82, 46], Operations: ['95-13=82', '55-9=46']
Exploring Operation: 82+46=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 82*46=3772, Resulting Numbers: [3772]
3772,67 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 #0,2
Current State: 67:[55, 13, 86], Operations: ['95-9=86']
Exploring Operation: 55+13=68, Resulting Numbers: [86, 68]
Generated Node #0,2,0: 67:[86, 68] Operation: 55+13=68
Exploring Operation: 55-13=42, Resulting Numbers: [86, 42]
Generated Node #0,2,1: 67:[86, 42] Operation: 55-13=42
Exploring Operation: 86-13=73, Resulting Numbers: [55, 73]
Generated Node #0,2,2: 67:[55, 73] Operation: 86-13=73
Moving to Node #0,2,2
Current State: 67:[55, 73], Operations: ['95-9=86', '86-13=73']
Exploring Operation: 55+73=128, Resulting Numbers: [128]
128,67 unequal: No Solution
Exploring Operation: 55*73=4015, Resulting Numbers: [4015]
4015,67 unequal: No Solution
Exploring Operation: 73-55=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[86, 68], Operations: ['95-9=86', '55+13=68']
Exploring Operation: 86*68=5848, Resulting Numbers: [5848]
5848,67 unequal: No Solution
Exploring Operation: 86+68=154, Resulting Numbers: [154]
154,67 unequal: No Solution
Exploring Operation: 86-68=18, Resulting Numbers: [18]
18,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[86, 42], Operations: ['95-9=86', '55-13=42']
Exploring Operation: 86*42=3612, Resulting Numbers: [3612]
3612,67 unequal: No Solution
Exploring Operation: 86-42=44, Resulting Numbers: [44]
44,67 unequal: No Solution
Exploring Operation: 86+42=128, Resulting Numbers: [128]
128,67 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | mult_heuristic |
[
38,
17,
47,
19
] | 27 | [
"38+17=55",
"47-19=28",
"55-28=27"
] | Current State: 27:[38, 17, 47, 19], Operations: []
Exploring Operation: 38+17=55, Resulting Numbers: [47, 19, 55]
Generated Node #2: [47, 19, 55] from Operation: 38+17=55
Current State: 27:[47, 19, 55], Operations: ['38+17=55']
Exploring Operation: 47-19=28, Resulting Numbers: [55, 28]
Generated Node #3: [55, 28] from Operation: 47-19=28
Current State: 27:[55, 28], Operations: ['38+17=55', '47-19=28']
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 | Current State: 27:[38, 17, 47, 19], Operations: []
Exploring Operation: 47-38=9, Resulting Numbers: [17, 19, 9]
Generated Node #0,0: 27:[17, 19, 9] Operation: 47-38=9
Moving to Node #0,0
Current State: 27:[17, 19, 9], Operations: ['47-38=9']
Exploring Operation: 19-17=2, Resulting Numbers: [9, 2]
Generated Node #0,0,0: 27:[9, 2] Operation: 19-17=2
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 27:[9, 2], Operations: ['47-38=9', '19-17=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,27 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
9,
36,
53,
92
] | 100 | [
"9+36=45",
"53+92=145",
"145-45=100"
] | Current State: 100:[9, 36, 53, 92], Operations: []
Exploring Operation: 9+36=45, Resulting Numbers: [53, 92, 45]
Generated Node #2: [53, 92, 45] from Operation: 9+36=45
Current State: 100:[53, 92, 45], Operations: ['9+36=45']
Exploring Operation: 53+92=145, Resulting Numbers: [45, 145]
Generated Node #3: [45, 145] from Operation: 53+92=145
Current State: 100:[45, 145], Operations: ['9+36=45', '53+92=145']
Exploring Operation: 145-45=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[9, 36, 53, 92], Operations: []
Exploring Operation: 53-36=17, Resulting Numbers: [9, 92, 17]
Generated Node #0,0: 100:[9, 92, 17] Operation: 53-36=17
Exploring Operation: 92-36=56, Resulting Numbers: [9, 53, 56]
Generated Node #0,1: 100:[9, 53, 56] Operation: 92-36=56
Exploring Operation: 36/9=4, Resulting Numbers: [53, 92, 4]
Generated Node #0,2: 100:[53, 92, 4] Operation: 36/9=4
Moving to Node #0,1
Current State: 100:[9, 53, 56], Operations: ['92-36=56']
Exploring Operation: 53+56=109, Resulting Numbers: [9, 109]
Generated Node #0,1,0: 100:[9, 109] Operation: 53+56=109
Exploring Operation: 56-9=47, Resulting Numbers: [53, 47]
Generated Node #0,1,1: 100:[53, 47] Operation: 56-9=47
Exploring Operation: 56-53=3, Resulting Numbers: [9, 3]
Generated Node #0,1,2: 100:[9, 3] Operation: 56-53=3
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 100:[9, 3], Operations: ['92-36=56', '56-53=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,100 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,100 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:[53, 47], Operations: ['92-36=56', '56-9=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[9, 36, 53, 92], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [9, 53, 56]
Generated Node #0,1: 100:[9, 53, 56] Operation: 92-36=56
Moving to Node #0,1
Current State: 100:[9, 53, 56], Operations: ['92-36=56']
Exploring Operation: 56-9=47, Resulting Numbers: [53, 47]
Generated Node #0,1,1: 100:[53, 47] Operation: 56-9=47
Moving to Node #0,1,1
Current State: 100:[53, 47], Operations: ['92-36=56', '56-9=47']
Exploring Operation: 53+47=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847 | hs_3 | sum_heuristic |
[
43,
17,
84,
52
] | 76 | [
"43+17=60",
"84+52=136",
"136-60=76"
] | Current State: 76:[43, 17, 84, 52], Operations: []
Exploring Operation: 43+17=60, Resulting Numbers: [84, 52, 60]
Generated Node #2: [84, 52, 60] from Operation: 43+17=60
Current State: 76:[84, 52, 60], Operations: ['43+17=60']
Exploring Operation: 84+52=136, Resulting Numbers: [60, 136]
Generated Node #3: [60, 136] from Operation: 84+52=136
Current State: 76:[60, 136], Operations: ['43+17=60', '84+52=136']
Exploring Operation: 136-60=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[43, 17, 84, 52], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [17, 84, 9]
Generated Node #0,0: 76:[17, 84, 9] Operation: 52-43=9
Exploring Operation: 84-52=32, Resulting Numbers: [43, 17, 32]
Generated Node #0,1: 76:[43, 17, 32] Operation: 84-52=32
Exploring Operation: 84-43=41, Resulting Numbers: [17, 52, 41]
Generated Node #0,2: 76:[17, 52, 41] Operation: 84-43=41
Exploring Operation: 52-17=35, Resulting Numbers: [43, 84, 35]
Generated Node #0,3: 76:[43, 84, 35] Operation: 52-17=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 76:[43, 17, 32], Operations: ['84-52=32']
Exploring Operation: 43-17=26, Resulting Numbers: [32, 26]
Generated Node #0,1,0: 76:[32, 26] Operation: 43-17=26
Exploring Operation: 32-17=15, Resulting Numbers: [43, 15]
Generated Node #0,1,1: 76:[43, 15] Operation: 32-17=15
Exploring Operation: 43+32=75, Resulting Numbers: [17, 75]
Generated Node #0,1,2: 76:[17, 75] Operation: 43+32=75
Exploring Operation: 43-32=11, Resulting Numbers: [17, 11]
Generated Node #0,1,3: 76:[17, 11] Operation: 43-32=11
Moving to Node #0,1,2
Current State: 76:[17, 75], Operations: ['84-52=32', '43+32=75']
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,76 unequal: No Solution
Exploring Operation: 17*75=1275, Resulting Numbers: [1275]
1275,76 unequal: No Solution
Moving to Node #0,1,3
Current State: 76:[17, 11], Operations: ['84-52=32', '43-32=11']
Exploring Operation: 17*11=187, Resulting Numbers: [187]
187,76 unequal: No Solution
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Moving to Node #0,1,1
Current State: 76:[43, 15], Operations: ['84-52=32', '32-17=15']
Exploring Operation: 43*15=645, Resulting Numbers: [645]
645,76 unequal: No Solution
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,76 unequal: No Solution
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Moving to Node #0,1,0
Current State: 76:[32, 26], Operations: ['84-52=32', '43-17=26']
Exploring Operation: 32*26=832, Resulting Numbers: [832]
832,76 unequal: No Solution
Exploring Operation: 32-26=6, Resulting Numbers: [6]
6,76 unequal: No Solution
Exploring Operation: 32+26=58, Resulting Numbers: [58]
58,76 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:[17, 84, 9], Operations: ['52-43=9']
Exploring Operation: 17-9=8, Resulting Numbers: [84, 8]
Generated Node #0,0,0: 76:[84, 8] Operation: 17-9=8
Exploring Operation: 84-17=67, Resulting Numbers: [9, 67]
Generated Node #0,0,1: 76:[9, 67] Operation: 84-17=67
Exploring Operation: 84-9=75, Resulting Numbers: [17, 75]
Generated Node #0,0,2: 76:[17, 75] Operation: 84-9=75
Exploring Operation: 17+9=26, Resulting Numbers: [84, 26]
Generated Node #0,0,3: 76:[84, 26] Operation: 17+9=26
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 76:[17, 75], Operations: ['52-43=9', '84-9=75']
Exploring Operation: 17*75=1275, Resulting Numbers: [1275]
1275,76 unequal: No Solution
Exploring Operation: 75-17=58, Resulting Numbers: [58]
58,76 unequal: No Solution
Exploring Operation: 17+75=92, Resulting Numbers: [92]
92,76 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[84, 8], Operations: ['52-43=9', '17-9=8']
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,76 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,76 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[43, 17, 84, 52], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [17, 84, 9]
Generated Node #0,0: 76:[17, 84, 9] Operation: 52-43=9
Moving to Node #0,0
Current State: 76:[17, 84, 9], Operations: ['52-43=9']
Exploring Operation: 17-9=8, Resulting Numbers: [84, 8]
Generated Node #0,0,0: 76:[84, 8] Operation: 17-9=8
Moving to Node #0,0,0
Current State: 76:[84, 8], Operations: ['52-43=9', '17-9=8']
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | sum_heuristic |
[
80,
46,
94,
6
] | 92 | [
"46-6=40",
"80/40=2",
"94-2=92"
] | Current State: 92:[80, 46, 94, 6], Operations: []
Exploring Operation: 46-6=40, Resulting Numbers: [80, 94, 40]
Generated Node #2: [80, 94, 40] from Operation: 46-6=40
Current State: 92:[80, 94, 40], Operations: ['46-6=40']
Exploring Operation: 80/40=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 80/40=2
Current State: 92:[94, 2], Operations: ['46-6=40', '80/40=2']
Exploring Operation: 94-2=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 | Current State: 92:[80, 46, 94, 6], Operations: []
Exploring Operation: 80+6=86, Resulting Numbers: [46, 94, 86]
Generated Node #0,0: 92:[46, 94, 86] Operation: 80+6=86
Exploring Operation: 94-6=88, Resulting Numbers: [80, 46, 88]
Generated Node #0,1: 92:[80, 46, 88] Operation: 94-6=88
Exploring Operation: 80-46=34, Resulting Numbers: [94, 6, 34]
Generated Node #0,2: 92:[94, 6, 34] Operation: 80-46=34
Exploring Operation: 94-80=14, Resulting Numbers: [46, 6, 14]
Generated Node #0,3: 92:[46, 6, 14] Operation: 94-80=14
Exploring Operation: 94-46=48, Resulting Numbers: [80, 6, 48]
Generated Node #0,4: 92:[80, 6, 48] Operation: 94-46=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[46, 94, 86], Operations: ['80+6=86']
Exploring Operation: 46+94=140, Resulting Numbers: [86, 140]
Generated Node #0,0,0: 92:[86, 140] Operation: 46+94=140
Exploring Operation: 94-86=8, Resulting Numbers: [46, 8]
Generated Node #0,0,1: 92:[46, 8] Operation: 94-86=8
Exploring Operation: 46+86=132, Resulting Numbers: [94, 132]
Generated Node #0,0,2: 92:[94, 132] Operation: 46+86=132
Exploring Operation: 94-46=48, Resulting Numbers: [86, 48]
Generated Node #0,0,3: 92:[86, 48] Operation: 94-46=48
Exploring Operation: 86-46=40, Resulting Numbers: [94, 40]
Generated Node #0,0,4: 92:[94, 40] Operation: 86-46=40
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 92:[46, 8], Operations: ['80+6=86', '94-86=8']
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,92 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 92:[86, 48], Operations: ['80+6=86', '94-46=48']
Exploring Operation: 86+48=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 86*48=4128, Resulting Numbers: [4128]
4128,92 unequal: No Solution
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 92:[94, 40], Operations: ['80+6=86', '86-46=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 92:[94, 132], Operations: ['80+6=86', '46+86=132']
Exploring Operation: 94*132=12408, Resulting Numbers: [12408]
12408,92 unequal: No Solution
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 94+132=226, Resulting Numbers: [226]
226,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 92:[86, 140], Operations: ['80+6=86', '46+94=140']
Exploring Operation: 86*140=12040, Resulting Numbers: [12040]
12040,92 unequal: No Solution
Exploring Operation: 140-86=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 86+140=226, Resulting Numbers: [226]
226,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 92:[46, 6, 14], Operations: ['94-80=14']
Exploring Operation: 46-14=32, Resulting Numbers: [6, 32]
Generated Node #0,3,0: 92:[6, 32] Operation: 46-14=32
Exploring Operation: 6+14=20, Resulting Numbers: [46, 20]
Generated Node #0,3,1: 92:[46, 20] Operation: 6+14=20
Exploring Operation: 6*14=84, Resulting Numbers: [46, 84]
Generated Node #0,3,2: 92:[46, 84] Operation: 6*14=84
Exploring Operation: 14-6=8, Resulting Numbers: [46, 8]
Generated Node #0,3,3: 92:[46, 8] Operation: 14-6=8
Exploring Operation: 46+6=52, Resulting Numbers: [14, 52]
Generated Node #0,3,4: 92:[14, 52] Operation: 46+6=52
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 92:[46, 20], Operations: ['94-80=14', '6+14=20']
Exploring Operation: 46-20=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 46*20=920, Resulting Numbers: [920]
920,92 unequal: No Solution
Exploring Operation: 46+20=66, Resulting Numbers: [66]
66,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 92:[46, 8], Operations: ['94-80=14', '14-6=8']
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,92 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 92:[46, 84], Operations: ['94-80=14', '6*14=84']
Exploring Operation: 84-46=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 46+84=130, Resulting Numbers: [130]
130,92 unequal: No Solution
Exploring Operation: 46*84=3864, Resulting Numbers: [3864]
3864,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 92:[6, 32], Operations: ['94-80=14', '46-14=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 92:[14, 52], Operations: ['94-80=14', '46+6=52']
Exploring Operation: 14+52=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 14*52=728, Resulting Numbers: [728]
728,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 92:[94, 6, 34], Operations: ['80-46=34']
Exploring Operation: 94-6=88, Resulting Numbers: [34, 88]
Generated Node #0,2,0: 92:[34, 88] Operation: 94-6=88
Exploring Operation: 34-6=28, Resulting Numbers: [94, 28]
Generated Node #0,2,1: 92:[94, 28] Operation: 34-6=28
Exploring Operation: 94-34=60, Resulting Numbers: [6, 60]
Generated Node #0,2,2: 92:[6, 60] Operation: 94-34=60
Exploring Operation: 6+34=40, Resulting Numbers: [94, 40]
Generated Node #0,2,3: 92:[94, 40] Operation: 6+34=40
Exploring Operation: 94+6=100, Resulting Numbers: [34, 100]
Generated Node #0,2,4: 92:[34, 100] Operation: 94+6=100
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 92:[94, 28], Operations: ['80-46=34', '34-6=28']
Exploring Operation: 94-28=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 94*28=2632, Resulting Numbers: [2632]
2632,92 unequal: No Solution
Exploring Operation: 94+28=122, Resulting Numbers: [122]
122,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 92:[94, 40], Operations: ['80-46=34', '6+34=40']
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 92:[34, 88], Operations: ['80-46=34', '94-6=88']
Exploring Operation: 34+88=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 34*88=2992, Resulting Numbers: [2992]
2992,92 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 92:[6, 60], Operations: ['80-46=34', '94-34=60']
Exploring Operation: 6*60=360, Resulting Numbers: [360]
360,92 unequal: No Solution
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 6+60=66, Resulting Numbers: [66]
66,92 unequal: No Solution
Exploring Operation: 60-6=54, Resulting Numbers: [54]
54,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 92:[34, 100], Operations: ['80-46=34', '94+6=100']
Exploring Operation: 34*100=3400, Resulting Numbers: [3400]
3400,92 unequal: No Solution
Exploring Operation: 34+100=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 100-34=66, Resulting Numbers: [66]
66,92 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[80, 46, 88], Operations: ['94-6=88']
Exploring Operation: 80-46=34, Resulting Numbers: [88, 34]
Generated Node #0,1,0: 92:[88, 34] Operation: 80-46=34
Exploring Operation: 88-80=8, Resulting Numbers: [46, 8]
Generated Node #0,1,1: 92:[46, 8] Operation: 88-80=8
Exploring Operation: 80+46=126, Resulting Numbers: [88, 126]
Generated Node #0,1,2: 92:[88, 126] Operation: 80+46=126
Exploring Operation: 46+88=134, Resulting Numbers: [80, 134]
Generated Node #0,1,3: 92:[80, 134] Operation: 46+88=134
Exploring Operation: 88-46=42, Resulting Numbers: [80, 42]
Generated Node #0,1,4: 92:[80, 42] Operation: 88-46=42
Moving to Node #0,1,1
Current State: 92:[46, 8], Operations: ['94-6=88', '88-80=8']
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[88, 34], Operations: ['94-6=88', '80-46=34']
Exploring Operation: 88+34=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 88*34=2992, Resulting Numbers: [2992]
2992,92 unequal: No Solution
Exploring Operation: 88-34=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Moving to Node #0,1,4
Current State: 92:[80, 42], Operations: ['94-6=88', '88-46=42']
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,92 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Moving to Node #0,1,2
Current State: 92:[88, 126], Operations: ['94-6=88', '80+46=126']
Exploring Operation: 126-88=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 88*126=11088, Resulting Numbers: [11088]
11088,92 unequal: No Solution
Exploring Operation: 88+126=214, Resulting Numbers: [214]
214,92 unequal: No Solution
Moving to Node #0,1,3
Current State: 92:[80, 134], Operations: ['94-6=88', '46+88=134']
Exploring Operation: 80+134=214, Resulting Numbers: [214]
214,92 unequal: No Solution
Exploring Operation: 134-80=54, Resulting Numbers: [54]
54,92 unequal: No Solution
Exploring Operation: 80*134=10720, Resulting Numbers: [10720]
10720,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 92:[80, 6, 48], Operations: ['94-46=48']
Exploring Operation: 48/6=8, Resulting Numbers: [80, 8]
Generated Node #0,4,0: 92:[80, 8] Operation: 48/6=8
Exploring Operation: 48-6=42, Resulting Numbers: [80, 42]
Generated Node #0,4,1: 92:[80, 42] Operation: 48-6=42
Exploring Operation: 80-6=74, Resulting Numbers: [48, 74]
Generated Node #0,4,2: 92:[48, 74] Operation: 80-6=74
Exploring Operation: 80-48=32, Resulting Numbers: [6, 32]
Generated Node #0,4,3: 92:[6, 32] Operation: 80-48=32
Exploring Operation: 80+6=86, Resulting Numbers: [48, 86]
Generated Node #0,4,4: 92:[48, 86] Operation: 80+6=86
Moving to Node #0,4,4
Current State: 92:[48, 86], Operations: ['94-46=48', '80+6=86']
Exploring Operation: 86-48=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Exploring Operation: 48+86=134, Resulting Numbers: [134]
134,92 unequal: No Solution
Exploring Operation: 48*86=4128, Resulting Numbers: [4128]
4128,92 unequal: No Solution
Moving to Node #0,4,3
Current State: 92:[6, 32], Operations: ['94-46=48', '80-48=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 6*32=192, Resulting Numbers: [192]
192,92 unequal: No Solution
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Moving to Node #0,4,0
Current State: 92:[80, 8], Operations: ['94-46=48', '48/6=8']
Exploring Operation: 80/8=10, Resulting Numbers: [10]
10,92 unequal: No Solution
Exploring Operation: 80*8=640, Resulting Numbers: [640]
640,92 unequal: No Solution
Exploring Operation: 80-8=72, Resulting Numbers: [72]
72,92 unequal: No Solution
Exploring Operation: 80+8=88, Resulting Numbers: [88]
88,92 unequal: No Solution
Moving to Node #0,4,1
Current State: 92:[80, 42], Operations: ['94-46=48', '48-6=42']
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,92 unequal: No Solution
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,92 unequal: No Solution
Moving to Node #0,4,2
Current State: 92:[48, 74], Operations: ['94-46=48', '80-6=74']
Exploring Operation: 48+74=122, Resulting Numbers: [122]
122,92 unequal: No Solution
Exploring Operation: 74-48=26, Resulting Numbers: [26]
26,92 unequal: No Solution
Exploring Operation: 48*74=3552, Resulting Numbers: [3552]
3552,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_5 | mult_heuristic |
[
37,
53,
48,
80
] | 43 | [
"53-37=16",
"80/16=5",
"48-5=43"
] | Current State: 43:[37, 53, 48, 80], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [48, 80, 16]
Generated Node #2: [48, 80, 16] from Operation: 53-37=16
Current State: 43:[48, 80, 16], Operations: ['53-37=16']
Exploring Operation: 80/16=5, Resulting Numbers: [48, 5]
Generated Node #3: [48, 5] from Operation: 80/16=5
Current State: 43:[48, 5], Operations: ['53-37=16', '80/16=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 | Current State: 43:[37, 53, 48, 80], Operations: []
Exploring Operation: 80-37=43, Resulting Numbers: [53, 48, 43]
Generated Node #0,0: 43:[53, 48, 43] Operation: 80-37=43
Exploring Operation: 53-37=16, Resulting Numbers: [48, 80, 16]
Generated Node #0,1: 43:[48, 80, 16] Operation: 53-37=16
Exploring Operation: 48-37=11, Resulting Numbers: [53, 80, 11]
Generated Node #0,2: 43:[53, 80, 11] Operation: 48-37=11
Exploring Operation: 80-48=32, Resulting Numbers: [37, 53, 32]
Generated Node #0,3: 43:[37, 53, 32] Operation: 80-48=32
Exploring Operation: 80-53=27, Resulting Numbers: [37, 48, 27]
Generated Node #0,4: 43:[37, 48, 27] Operation: 80-53=27
Moving to Node #0,0
Current State: 43:[53, 48, 43], Operations: ['80-37=43']
Exploring Operation: 48-43=5, Resulting Numbers: [53, 5]
Generated Node #0,0,0: 43:[53, 5] Operation: 48-43=5
Exploring Operation: 53-48=5, Resulting Numbers: [43, 5]
Generated Node #0,0,1: 43:[43, 5] Operation: 53-48=5
Exploring Operation: 53+48=101, Resulting Numbers: [43, 101]
Generated Node #0,0,2: 43:[43, 101] Operation: 53+48=101
Exploring Operation: 53+43=96, Resulting Numbers: [48, 96]
Generated Node #0,0,3: 43:[48, 96] Operation: 53+43=96
Exploring Operation: 53-43=10, Resulting Numbers: [48, 10]
Generated Node #0,0,4: 43:[48, 10] Operation: 53-43=10
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 43:[43, 5], Operations: ['80-37=43', '53-48=5']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 43*5=215, Resulting Numbers: [215]
215,43 unequal: No Solution
Exploring Operation: 43+5=48, Resulting Numbers: [48]
48,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 43:[48, 10], Operations: ['80-37=43', '53-43=10']
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 43:[53, 5], Operations: ['80-37=43', '48-43=5']
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,43 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 43:[43, 101], Operations: ['80-37=43', '53+48=101']
Exploring Operation: 43*101=4343, Resulting Numbers: [4343]
4343,43 unequal: No Solution
Exploring Operation: 101-43=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 43+101=144, Resulting Numbers: [144]
144,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 43:[48, 96], Operations: ['80-37=43', '53+43=96']
Exploring Operation: 48*96=4608, Resulting Numbers: [4608]
4608,43 unequal: No Solution
Exploring Operation: 96-48=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 48+96=144, Resulting Numbers: [144]
144,43 unequal: No Solution
Exploring Operation: 96/48=2, Resulting Numbers: [2]
2,43 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: 43:[37, 48, 27], Operations: ['80-53=27']
Exploring Operation: 48+27=75, Resulting Numbers: [37, 75]
Generated Node #0,4,0: 43:[37, 75] Operation: 48+27=75
Exploring Operation: 37+27=64, Resulting Numbers: [48, 64]
Generated Node #0,4,1: 43:[48, 64] Operation: 37+27=64
Exploring Operation: 48-37=11, Resulting Numbers: [27, 11]
Generated Node #0,4,2: 43:[27, 11] Operation: 48-37=11
Exploring Operation: 48-27=21, Resulting Numbers: [37, 21]
Generated Node #0,4,3: 43:[37, 21] Operation: 48-27=21
Exploring Operation: 37-27=10, Resulting Numbers: [48, 10]
Generated Node #0,4,4: 43:[48, 10] Operation: 37-27=10
Moving to Node #0,3
Current State: 43:[37, 53, 32], Operations: ['80-48=32']
Exploring Operation: 37-32=5, Resulting Numbers: [53, 5]
Generated Node #0,3,0: 43:[53, 5] Operation: 37-32=5
Exploring Operation: 53-32=21, Resulting Numbers: [37, 21]
Generated Node #0,3,1: 43:[37, 21] Operation: 53-32=21
Exploring Operation: 53+32=85, Resulting Numbers: [37, 85]
Generated Node #0,3,2: 43:[37, 85] Operation: 53+32=85
Exploring Operation: 37+32=69, Resulting Numbers: [53, 69]
Generated Node #0,3,3: 43:[53, 69] Operation: 37+32=69
Exploring Operation: 53-37=16, Resulting Numbers: [32, 16]
Generated Node #0,3,4: 43:[32, 16] Operation: 53-37=16
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 43:[37, 21], Operations: ['80-48=32', '53-32=21']
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 43:[53, 69], Operations: ['80-48=32', '37+32=69']
Exploring Operation: 53*69=3657, Resulting Numbers: [3657]
3657,43 unequal: No Solution
Exploring Operation: 69-53=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 53+69=122, Resulting Numbers: [122]
122,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 43:[32, 16], Operations: ['80-48=32', '53-37=16']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 32*16=512, Resulting Numbers: [512]
512,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 43:[53, 5], Operations: ['80-48=32', '37-32=5']
Exploring Operation: 53*5=265, Resulting Numbers: [265]
265,43 unequal: No Solution
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 53-5=48, Resulting Numbers: [48]
48,43 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 43:[37, 85], Operations: ['80-48=32', '53+32=85']
Exploring Operation: 37+85=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 85-37=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Exploring Operation: 37*85=3145, Resulting Numbers: [3145]
3145,43 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: 43:[48, 80, 16], Operations: ['53-37=16']
Exploring Operation: 48-16=32, Resulting Numbers: [80, 32]
Generated Node #0,1,0: 43:[80, 32] Operation: 48-16=32
Exploring Operation: 80-16=64, Resulting Numbers: [48, 64]
Generated Node #0,1,1: 43:[48, 64] Operation: 80-16=64
Exploring Operation: 80-48=32, Resulting Numbers: [16, 32]
Generated Node #0,1,2: 43:[16, 32] Operation: 80-48=32
Exploring Operation: 80/16=5, Resulting Numbers: [48, 5]
Generated Node #0,1,3: 43:[48, 5] Operation: 80/16=5
Exploring Operation: 48+16=64, Resulting Numbers: [80, 64]
Generated Node #0,1,4: 43:[80, 64] Operation: 48+16=64
Moving to Node #0,2
Current State: 43:[53, 80, 11], Operations: ['48-37=11']
Exploring Operation: 53+11=64, Resulting Numbers: [80, 64]
Generated Node #0,2,0: 43:[80, 64] Operation: 53+11=64
Exploring Operation: 80+11=91, Resulting Numbers: [53, 91]
Generated Node #0,2,1: 43:[53, 91] Operation: 80+11=91
Exploring Operation: 80-53=27, Resulting Numbers: [11, 27]
Generated Node #0,2,2: 43:[11, 27] Operation: 80-53=27
Exploring Operation: 53-11=42, Resulting Numbers: [80, 42]
Generated Node #0,2,3: 43:[80, 42] Operation: 53-11=42
Exploring Operation: 80-11=69, Resulting Numbers: [53, 69]
Generated Node #0,2,4: 43:[53, 69] Operation: 80-11=69
Moving to Node #0,4,1
Current State: 43:[48, 64], Operations: ['80-53=27', '37+27=64']
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,43 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Moving to Node #0,1,1
Current State: 43:[48, 64], Operations: ['53-37=16', '80-16=64']
Exploring Operation: 48*64=3072, Resulting Numbers: [3072]
3072,43 unequal: No Solution
Exploring Operation: 64-48=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 48+64=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Moving to Node #0,4,3
Current State: 43:[37, 21], Operations: ['80-53=27', '48-27=21']
Exploring Operation: 37+21=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Exploring Operation: 37*21=777, Resulting Numbers: [777]
777,43 unequal: No Solution
Exploring Operation: 37-21=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Moving to Node #0,2,4
Current State: 43:[53, 69], Operations: ['48-37=11', '80-11=69']
Exploring Operation: 53+69=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 53*69=3657, Resulting Numbers: [3657]
3657,43 unequal: No Solution
Exploring Operation: 69-53=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Moving to Node #0,1,2
Current State: 43:[16, 32], Operations: ['53-37=16', '80-48=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,43 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,43 unequal: No Solution
Exploring Operation: 16*32=512, Resulting Numbers: [512]
512,43 unequal: No Solution
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,43 unequal: No Solution
Moving to Node #0,4,0
Current State: 43:[37, 75], Operations: ['80-53=27', '48+27=75']
Exploring Operation: 37*75=2775, Resulting Numbers: [2775]
2775,43 unequal: No Solution
Exploring Operation: 37+75=112, Resulting Numbers: [112]
112,43 unequal: No Solution
Exploring Operation: 75-37=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Moving to Node #0,2,3
Current State: 43:[80, 42], Operations: ['48-37=11', '53-11=42']
Exploring Operation: 80+42=122, Resulting Numbers: [122]
122,43 unequal: No Solution
Exploring Operation: 80-42=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 80*42=3360, Resulting Numbers: [3360]
3360,43 unequal: No Solution
Moving to Node #0,4,4
Current State: 43:[48, 10], Operations: ['80-53=27', '37-27=10']
Exploring Operation: 48*10=480, Resulting Numbers: [480]
480,43 unequal: No Solution
Exploring Operation: 48-10=38, Resulting Numbers: [38]
38,43 unequal: No Solution
Exploring Operation: 48+10=58, Resulting Numbers: [58]
58,43 unequal: No Solution
Moving to Node #0,1,3
Current State: 43:[48, 5], Operations: ['53-37=16', '80/16=5']
Exploring Operation: 48*5=240, Resulting Numbers: [240]
240,43 unequal: No Solution
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[37, 53, 48, 80], Operations: []
Exploring Operation: 53-37=16, Resulting Numbers: [48, 80, 16]
Generated Node #0,1: 43:[48, 80, 16] Operation: 53-37=16
Moving to Node #0,1
Current State: 43:[48, 80, 16], Operations: ['53-37=16']
Exploring Operation: 80/16=5, Resulting Numbers: [48, 5]
Generated Node #0,1,3: 43:[48, 5] Operation: 80/16=5
Moving to Node #0,1,3
Current State: 43:[48, 5], Operations: ['53-37=16', '80/16=5']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.919271 | hs_5 | mult_heuristic |
[
14,
96,
29,
67
] | 13 | [
"96-29=67",
"67/67=1",
"14-1=13"
] | Current State: 13:[14, 96, 29, 67], Operations: []
Exploring Operation: 96-29=67, Resulting Numbers: [14, 67, 67]
Generated Node #2: [14, 67, 67] from Operation: 96-29=67
Current State: 13:[14, 67, 67], Operations: ['96-29=67']
Exploring Operation: 67/67=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 67/67=1
Current State: 13:[14, 1], Operations: ['96-29=67', '67/67=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[14, 96, 29, 67], Operations: []
Exploring Operation: 96-67=29, Resulting Numbers: [14, 29, 29]
Generated Node #0,0: 13:[14, 29, 29] Operation: 96-67=29
Moving to Node #0,0
Current State: 13:[14, 29, 29], Operations: ['96-67=29']
Exploring Operation: 29/29=1, Resulting Numbers: [14, 1]
Generated Node #0,0,0: 13:[14, 1] Operation: 29/29=1
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 13:[14, 1], Operations: ['96-67=29', '29/29=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[14, 96, 29, 67], Operations: []
Exploring Operation: 96-67=29, Resulting Numbers: [14, 29, 29]
Generated Node #0,0: 13:[14, 29, 29] Operation: 96-67=29
Moving to Node #0,0
Current State: 13:[14, 29, 29], Operations: ['96-67=29']
Exploring Operation: 29/29=1, Resulting Numbers: [14, 1]
Generated Node #0,0,0: 13:[14, 1] Operation: 29/29=1
Moving to Node #0,0,0
Current State: 13:[14, 1], Operations: ['96-67=29', '29/29=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
96,
99,
91,
64
] | 40 | [
"96+99=195",
"91+64=155",
"195-155=40"
] | Current State: 40:[96, 99, 91, 64], Operations: []
Exploring Operation: 96+99=195, Resulting Numbers: [91, 64, 195]
Generated Node #2: [91, 64, 195] from Operation: 96+99=195
Current State: 40:[91, 64, 195], Operations: ['96+99=195']
Exploring Operation: 91+64=155, Resulting Numbers: [195, 155]
Generated Node #3: [195, 155] from Operation: 91+64=155
Current State: 40:[195, 155], Operations: ['96+99=195', '91+64=155']
Exploring Operation: 195-155=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[96, 99, 91, 64], Operations: []
Exploring Operation: 96-64=32, Resulting Numbers: [99, 91, 32]
Generated Node #0,0: 40:[99, 91, 32] Operation: 96-64=32
Exploring Operation: 96-91=5, Resulting Numbers: [99, 64, 5]
Generated Node #0,1: 40:[99, 64, 5] Operation: 96-91=5
Exploring Operation: 99-96=3, Resulting Numbers: [91, 64, 3]
Generated Node #0,2: 40:[91, 64, 3] Operation: 99-96=3
Exploring Operation: 99-64=35, Resulting Numbers: [96, 91, 35]
Generated Node #0,3: 40:[96, 91, 35] Operation: 99-64=35
Exploring Operation: 99-91=8, Resulting Numbers: [96, 64, 8]
Generated Node #0,4: 40:[96, 64, 8] Operation: 99-91=8
Moving to Node #0,2
Current State: 40:[91, 64, 3], Operations: ['99-96=3']
Exploring Operation: 91-3=88, Resulting Numbers: [64, 88]
Generated Node #0,2,0: 40:[64, 88] Operation: 91-3=88
Exploring Operation: 64+3=67, Resulting Numbers: [91, 67]
Generated Node #0,2,1: 40:[91, 67] Operation: 64+3=67
Exploring Operation: 64-3=61, Resulting Numbers: [91, 61]
Generated Node #0,2,2: 40:[91, 61] Operation: 64-3=61
Exploring Operation: 91-64=27, Resulting Numbers: [3, 27]
Generated Node #0,2,3: 40:[3, 27] Operation: 91-64=27
Exploring Operation: 91+3=94, Resulting Numbers: [64, 94]
Generated Node #0,2,4: 40:[64, 94] Operation: 91+3=94
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 40:[3, 27], Operations: ['99-96=3', '91-64=27']
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,40 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,40 unequal: No Solution
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 40:[64, 88], Operations: ['99-96=3', '91-3=88']
Exploring Operation: 88-64=24, Resulting Numbers: [24]
24,40 unequal: No Solution
Exploring Operation: 64+88=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Exploring Operation: 64*88=5632, Resulting Numbers: [5632]
5632,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 40:[91, 61], Operations: ['99-96=3', '64-3=61']
Exploring Operation: 91*61=5551, Resulting Numbers: [5551]
5551,40 unequal: No Solution
Exploring Operation: 91+61=152, Resulting Numbers: [152]
152,40 unequal: No Solution
Exploring Operation: 91-61=30, Resulting Numbers: [30]
30,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 40:[91, 67], Operations: ['99-96=3', '64+3=67']
Exploring Operation: 91*67=6097, Resulting Numbers: [6097]
6097,40 unequal: No Solution
Exploring Operation: 91+67=158, Resulting Numbers: [158]
158,40 unequal: No Solution
Exploring Operation: 91-67=24, Resulting Numbers: [24]
24,40 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 40:[64, 94], Operations: ['99-96=3', '91+3=94']
Exploring Operation: 64*94=6016, Resulting Numbers: [6016]
6016,40 unequal: No Solution
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,40 unequal: No Solution
Exploring Operation: 64+94=158, Resulting Numbers: [158]
158,40 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: 40:[96, 64, 8], Operations: ['99-91=8']
Exploring Operation: 64-8=56, Resulting Numbers: [96, 56]
Generated Node #0,4,0: 40:[96, 56] Operation: 64-8=56
Exploring Operation: 64/8=8, Resulting Numbers: [96, 8]
Generated Node #0,4,1: 40:[96, 8] Operation: 64/8=8
Exploring Operation: 96-8=88, Resulting Numbers: [64, 88]
Generated Node #0,4,2: 40:[64, 88] Operation: 96-8=88
Exploring Operation: 96/8=12, Resulting Numbers: [64, 12]
Generated Node #0,4,3: 40:[64, 12] Operation: 96/8=12
Exploring Operation: 96-64=32, Resulting Numbers: [8, 32]
Generated Node #0,4,4: 40:[8, 32] Operation: 96-64=32
Moving to Node #0,1
Current State: 40:[99, 64, 5], Operations: ['96-91=5']
Exploring Operation: 99-64=35, Resulting Numbers: [5, 35]
Generated Node #0,1,0: 40:[5, 35] Operation: 99-64=35
Exploring Operation: 64+5=69, Resulting Numbers: [99, 69]
Generated Node #0,1,1: 40:[99, 69] Operation: 64+5=69
Exploring Operation: 99-5=94, Resulting Numbers: [64, 94]
Generated Node #0,1,2: 40:[64, 94] Operation: 99-5=94
Exploring Operation: 64-5=59, Resulting Numbers: [99, 59]
Generated Node #0,1,3: 40:[99, 59] Operation: 64-5=59
Exploring Operation: 99+5=104, Resulting Numbers: [64, 104]
Generated Node #0,1,4: 40:[64, 104] Operation: 99+5=104
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 40:[5, 35], Operations: ['96-91=5', '99-64=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[96, 99, 91, 64], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [99, 64, 5]
Generated Node #0,1: 40:[99, 64, 5] Operation: 96-91=5
Moving to Node #0,1
Current State: 40:[99, 64, 5], Operations: ['96-91=5']
Exploring Operation: 99-64=35, Resulting Numbers: [5, 35]
Generated Node #0,1,0: 40:[5, 35] Operation: 99-64=35
Moving to Node #0,1,0
Current State: 40:[5, 35], Operations: ['96-91=5', '99-64=35']
Exploring Operation: 5+35=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.96441 | hs_5 | mult_heuristic |
[
24,
93,
1,
4
] | 73 | [
"93-24=69",
"1*4=4",
"69+4=73"
] | Current State: 73:[24, 93, 1, 4], Operations: []
Exploring Operation: 93-24=69, Resulting Numbers: [1, 4, 69]
Generated Node #2: [1, 4, 69] from Operation: 93-24=69
Current State: 73:[1, 4, 69], Operations: ['93-24=69']
Exploring Operation: 1*4=4, Resulting Numbers: [69, 4]
Generated Node #3: [69, 4] from Operation: 1*4=4
Current State: 73:[69, 4], Operations: ['93-24=69', '1*4=4']
Exploring Operation: 69+4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[24, 93, 1, 4], Operations: []
Exploring Operation: 24*4=96, Resulting Numbers: [93, 1, 96]
Generated Node #0,0: 73:[93, 1, 96] Operation: 24*4=96
Moving to Node #0,0
Current State: 73:[93, 1, 96], Operations: ['24*4=96']
Exploring Operation: 93-1=92, Resulting Numbers: [96, 92]
Generated Node #0,0,0: 73:[96, 92] Operation: 93-1=92
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[96, 92], Operations: ['24*4=96', '93-1=92']
Exploring Operation: 96-92=4, Resulting Numbers: [4]
4,73 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 |
[
83,
16,
85,
66
] | 85 | [
"83-16=67",
"67-66=1",
"85*1=85"
] | Current State: 85:[83, 16, 85, 66], Operations: []
Exploring Operation: 83-16=67, Resulting Numbers: [85, 66, 67]
Generated Node #2: [85, 66, 67] from Operation: 83-16=67
Current State: 85:[85, 66, 67], Operations: ['83-16=67']
Exploring Operation: 67-66=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 67-66=1
Current State: 85:[85, 1], Operations: ['83-16=67', '67-66=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 | Current State: 85:[83, 16, 85, 66], Operations: []
Exploring Operation: 16+66=82, Resulting Numbers: [83, 85, 82]
Generated Node #0,0: 85:[83, 85, 82] Operation: 16+66=82
Exploring Operation: 83-66=17, Resulting Numbers: [16, 85, 17]
Generated Node #0,1: 85:[16, 85, 17] Operation: 83-66=17
Start Sub Search at level 1: Moving to Node #0,1
Current State: 85:[16, 85, 17], Operations: ['83-66=17']
Exploring Operation: 17-16=1, Resulting Numbers: [85, 1]
Generated Node #0,1,0: 85:[85, 1] Operation: 17-16=1
Exploring Operation: 85/17=5, Resulting Numbers: [16, 5]
Generated Node #0,1,1: 85:[16, 5] Operation: 85/17=5
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 85:[16, 5], Operations: ['83-66=17', '85/17=5']
Exploring Operation: 16+5=21, Resulting Numbers: [21]
21,85 unequal: No Solution
Exploring Operation: 16*5=80, Resulting Numbers: [80]
80,85 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 #0,1,0
Current State: 85:[85, 1], Operations: ['83-66=17', '17-16=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Moving to Node #0
Current State: 85:[83, 16, 85, 66], Operations: []
Exploring Operation: 83-66=17, Resulting Numbers: [16, 85, 17]
Generated Node #0,1: 85:[16, 85, 17] Operation: 83-66=17
Moving to Node #0,1
Current State: 85:[16, 85, 17], Operations: ['83-66=17']
Exploring Operation: 17-16=1, Resulting Numbers: [85, 1]
Generated Node #0,1,0: 85:[85, 1] Operation: 17-16=1
Moving to Node #0,1,0
Current State: 85:[85, 1], Operations: ['83-66=17', '17-16=1']
Exploring Operation: 85*1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | mult_heuristic |
[
35,
12,
74,
73
] | 46 | [
"35+12=47",
"74-73=1",
"47-1=46"
] | Current State: 46:[35, 12, 74, 73], Operations: []
Exploring Operation: 35+12=47, Resulting Numbers: [74, 73, 47]
Generated Node #2: [74, 73, 47] from Operation: 35+12=47
Current State: 46:[74, 73, 47], Operations: ['35+12=47']
Exploring Operation: 74-73=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 74-73=1
Current State: 46:[47, 1], Operations: ['35+12=47', '74-73=1']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[35, 12, 74, 73], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [12, 73, 39]
Generated Node #0,0: 46:[12, 73, 39] Operation: 74-35=39
Exploring Operation: 73-35=38, Resulting Numbers: [12, 74, 38]
Generated Node #0,1: 46:[12, 74, 38] Operation: 73-35=38
Exploring Operation: 73-12=61, Resulting Numbers: [35, 74, 61]
Generated Node #0,2: 46:[35, 74, 61] Operation: 73-12=61
Exploring Operation: 74-73=1, Resulting Numbers: [35, 12, 1]
Generated Node #0,3: 46:[35, 12, 1] Operation: 74-73=1
Exploring Operation: 74-12=62, Resulting Numbers: [35, 73, 62]
Generated Node #0,4: 46:[35, 73, 62] Operation: 74-12=62
Moving to Node #0,3
Current State: 46:[35, 12, 1], Operations: ['74-73=1']
Exploring Operation: 12-1=11, Resulting Numbers: [35, 11]
Generated Node #0,3,0: 46:[35, 11] Operation: 12-1=11
Exploring Operation: 35*1=35, Resulting Numbers: [12, 35]
Generated Node #0,3,1: 46:[12, 35] Operation: 35*1=35
Exploring Operation: 35+1=36, Resulting Numbers: [12, 36]
Generated Node #0,3,2: 46:[12, 36] Operation: 35+1=36
Exploring Operation: 35+12=47, Resulting Numbers: [1, 47]
Generated Node #0,3,3: 46:[1, 47] Operation: 35+12=47
Exploring Operation: 35-12=23, Resulting Numbers: [1, 23]
Generated Node #0,3,4: 46:[1, 23] Operation: 35-12=23
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 46:[1, 23], Operations: ['74-73=1', '35-12=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 1*23=23, Resulting Numbers: [23]
23,46 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,46 unequal: No Solution
Exploring Operation: 23-1=22, Resulting Numbers: [22]
22,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 46:[1, 47], Operations: ['74-73=1', '35+12=47']
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,46 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[35, 12, 74, 73], Operations: []
Exploring Operation: 74-73=1, Resulting Numbers: [35, 12, 1]
Generated Node #0,3: 46:[35, 12, 1] Operation: 74-73=1
Moving to Node #0,3
Current State: 46:[35, 12, 1], Operations: ['74-73=1']
Exploring Operation: 35+12=47, Resulting Numbers: [1, 47]
Generated Node #0,3,3: 46:[1, 47] Operation: 35+12=47
Moving to Node #0,3,3
Current State: 46:[1, 47], Operations: ['74-73=1', '35+12=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771 | hs_5 | sum_heuristic |
[
27,
27,
40,
98
] | 84 | [
"27+27=54",
"40+98=138",
"138-54=84"
] | Current State: 84:[27, 27, 40, 98], Operations: []
Exploring Operation: 27+27=54, Resulting Numbers: [40, 98, 54]
Generated Node #2: [40, 98, 54] from Operation: 27+27=54
Current State: 84:[40, 98, 54], Operations: ['27+27=54']
Exploring Operation: 40+98=138, Resulting Numbers: [54, 138]
Generated Node #3: [54, 138] from Operation: 40+98=138
Current State: 84:[54, 138], Operations: ['27+27=54', '40+98=138']
Exploring Operation: 138-54=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 | Current State: 84:[27, 27, 40, 98], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [27, 98, 13]
Generated Node #0,0: 84:[27, 98, 13] Operation: 40-27=13
Exploring Operation: 98-27=71, Resulting Numbers: [27, 40, 71]
Generated Node #0,1: 84:[27, 40, 71] Operation: 98-27=71
Exploring Operation: 40-27=13, Resulting Numbers: [27, 98, 13]
Generated Node #0,2: 84:[27, 98, 13] Operation: 40-27=13
Exploring Operation: 98-27=71, Resulting Numbers: [27, 40, 71]
Generated Node #0,3: 84:[27, 40, 71] Operation: 98-27=71
Start Sub Search at level 1: Moving to Node #0,0
Current State: 84:[27, 98, 13], Operations: ['40-27=13']
Exploring Operation: 27+13=40, Resulting Numbers: [98, 40]
Generated Node #0,0,0: 84:[98, 40] Operation: 27+13=40
Exploring Operation: 27-13=14, Resulting Numbers: [98, 14]
Generated Node #0,0,1: 84:[98, 14] Operation: 27-13=14
Exploring Operation: 98-13=85, Resulting Numbers: [27, 85]
Generated Node #0,0,2: 84:[27, 85] Operation: 98-13=85
Exploring Operation: 98-27=71, Resulting Numbers: [13, 71]
Generated Node #0,0,3: 84:[13, 71] Operation: 98-27=71
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 84:[27, 85], Operations: ['40-27=13', '98-13=85']
Exploring Operation: 27*85=2295, Resulting Numbers: [2295]
2295,84 unequal: No Solution
Exploring Operation: 85-27=58, Resulting Numbers: [58]
58,84 unequal: No Solution
Exploring Operation: 27+85=112, Resulting Numbers: [112]
112,84 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:[98, 14], Operations: ['40-27=13', '27-13=14']
Exploring Operation: 98/14=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[27, 27, 40, 98], Operations: []
Exploring Operation: 40-27=13, Resulting Numbers: [27, 98, 13]
Generated Node #0,0: 84:[27, 98, 13] Operation: 40-27=13
Moving to Node #0,0
Current State: 84:[27, 98, 13], Operations: ['40-27=13']
Exploring Operation: 27-13=14, Resulting Numbers: [98, 14]
Generated Node #0,0,1: 84:[98, 14] Operation: 27-13=14
Moving to Node #0,0,1
Current State: 84:[98, 14], Operations: ['40-27=13', '27-13=14']
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_4 | mult_heuristic |
[
45,
13,
33,
45
] | 46 | [
"45+13=58",
"45-33=12",
"58-12=46"
] | Current State: 46:[45, 13, 33, 45], Operations: []
Exploring Operation: 45+13=58, Resulting Numbers: [33, 58]
Generated Node #2: [33, 58] from Operation: 45+13=58
Current State: 46:[33, 58], Operations: ['45+13=58']
Exploring Operation: 45-33=12, Resulting Numbers: [58, 12]
Generated Node #3: [58, 12] from Operation: 45-33=12
Current State: 46:[58, 12], Operations: ['45+13=58', '45-33=12']
Exploring Operation: 58-12=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[45, 13, 33, 45], Operations: []
Exploring Operation: 45-33=12, Resulting Numbers: [13, 45, 12]
Generated Node #0,0: 46:[13, 45, 12] Operation: 45-33=12
Exploring Operation: 13+33=46, Resulting Numbers: [45, 45, 46]
Generated Node #0,1: 46:[45, 45, 46] Operation: 13+33=46
Exploring Operation: 33-13=20, Resulting Numbers: [45, 45, 20]
Generated Node #0,2: 46:[45, 45, 20] Operation: 33-13=20
Exploring Operation: 45-13=32, Resulting Numbers: [45, 33, 32]
Generated Node #0,3: 46:[45, 33, 32] Operation: 45-13=32
Exploring Operation: 45-13=32, Resulting Numbers: [33, 45, 32]
Generated Node #0,4: 46:[33, 45, 32] Operation: 45-13=32
Moving to Node #0,1
Current State: 46:[45, 45, 46], Operations: ['13+33=46']
Exploring Operation: 45-45=0, Resulting Numbers: [46, 0]
Generated Node #0,1,0: 46:[46, 0] Operation: 45-45=0
Exploring Operation: 46-45=1, Resulting Numbers: [45, 1]
Generated Node #0,1,1: 46:[45, 1] Operation: 46-45=1
Exploring Operation: 46-45=1, Resulting Numbers: [45, 1]
Generated Node #0,1,2: 46:[45, 1] Operation: 46-45=1
Exploring Operation: 45/45=1, Resulting Numbers: [46, 1]
Generated Node #0,1,3: 46:[46, 1] Operation: 45/45=1
Exploring Operation: 45+45=90, Resulting Numbers: [46, 90]
Generated Node #0,1,4: 46:[46, 90] Operation: 45+45=90
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 46:[46, 1], Operations: ['13+33=46', '45/45=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,46 unequal: No Solution
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[45, 13, 33, 45], Operations: []
Exploring Operation: 13+33=46, Resulting Numbers: [45, 45, 46]
Generated Node #0,1: 46:[45, 45, 46] Operation: 13+33=46
Moving to Node #0,1
Current State: 46:[45, 45, 46], Operations: ['13+33=46']
Exploring Operation: 45/45=1, Resulting Numbers: [46, 1]
Generated Node #0,1,3: 46:[46, 1] Operation: 45/45=1
Moving to Node #0,1,3
Current State: 46:[46, 1], Operations: ['13+33=46', '45/45=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.986111 | hs_5 | sum_heuristic |
[
29,
62,
89,
28
] | 14 | [
"29+62=91",
"91-89=2",
"28/2=14"
] | Current State: 14:[29, 62, 89, 28], Operations: []
Exploring Operation: 29+62=91, Resulting Numbers: [89, 28, 91]
Generated Node #2: [89, 28, 91] from Operation: 29+62=91
Current State: 14:[89, 28, 91], Operations: ['29+62=91']
Exploring Operation: 91-89=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 91-89=2
Current State: 14:[28, 2], Operations: ['29+62=91', '91-89=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 | Current State: 14:[29, 62, 89, 28], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [89, 28, 33]
Generated Node #0,0: 14:[89, 28, 33] Operation: 62-29=33
Exploring Operation: 89-29=60, Resulting Numbers: [62, 28, 60]
Generated Node #0,1: 14:[62, 28, 60] Operation: 89-29=60
Exploring Operation: 89-62=27, Resulting Numbers: [29, 28, 27]
Generated Node #0,2: 14:[29, 28, 27] Operation: 89-62=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 14:[29, 28, 27], Operations: ['89-62=27']
Exploring Operation: 29-27=2, Resulting Numbers: [28, 2]
Generated Node #0,2,0: 14:[28, 2] Operation: 29-27=2
Exploring Operation: 28-27=1, Resulting Numbers: [29, 1]
Generated Node #0,2,1: 14:[29, 1] Operation: 28-27=1
Exploring Operation: 29-28=1, Resulting Numbers: [27, 1]
Generated Node #0,2,2: 14:[27, 1] Operation: 29-28=1
Moving to Node #0,2,0
Current State: 14:[28, 2], Operations: ['89-62=27', '29-27=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[29, 62, 89, 28], Operations: []
Exploring Operation: 89-62=27, Resulting Numbers: [29, 28, 27]
Generated Node #0,2: 14:[29, 28, 27] Operation: 89-62=27
Moving to Node #0,2
Current State: 14:[29, 28, 27], Operations: ['89-62=27']
Exploring Operation: 29-27=2, Resulting Numbers: [28, 2]
Generated Node #0,2,0: 14:[28, 2] Operation: 29-27=2
Moving to Node #0,2,0
Current State: 14:[28, 2], Operations: ['89-62=27', '29-27=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
54,
17,
7,
73
] | 100 | [
"73-54=19",
"17*7=119",
"119-19=100"
] | Current State: 100:[54, 17, 7, 73], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [17, 7, 19]
Generated Node #2: [17, 7, 19] from Operation: 73-54=19
Current State: 100:[17, 7, 19], Operations: ['73-54=19']
Exploring Operation: 17*7=119, Resulting Numbers: [19, 119]
Generated Node #3: [19, 119] from Operation: 17*7=119
Current State: 100:[19, 119], Operations: ['73-54=19', '17*7=119']
Exploring Operation: 119-19=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[54, 17, 7, 73], Operations: []
Exploring Operation: 73-54=19, Resulting Numbers: [17, 7, 19]
Generated Node #0,0: 100:[17, 7, 19] Operation: 73-54=19
Exploring Operation: 73-17=56, Resulting Numbers: [54, 7, 56]
Generated Node #0,1: 100:[54, 7, 56] Operation: 73-17=56
Start Sub Search at level 1: Moving to Node #0,0
Current State: 100:[17, 7, 19], Operations: ['73-54=19']
Exploring Operation: 17-7=10, Resulting Numbers: [19, 10]
Generated Node #0,0,0: 100:[19, 10] Operation: 17-7=10
Exploring Operation: 17+7=24, Resulting Numbers: [19, 24]
Generated Node #0,0,1: 100:[19, 24] Operation: 17+7=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 100:[19, 10], Operations: ['73-54=19', '17-7=10']
Exploring Operation: 19+10=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Exploring Operation: 19-10=9, Resulting Numbers: [9]
9,100 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 #0,0,1
Current State: 100:[19, 24], Operations: ['73-54=19', '17+7=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,100 unequal: No Solution
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,100 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: 100:[54, 7, 56], Operations: ['73-17=56']
Exploring Operation: 56-54=2, Resulting Numbers: [7, 2]
Generated Node #0,1,0: 100:[7, 2] Operation: 56-54=2
Exploring Operation: 56-7=49, Resulting Numbers: [54, 49]
Generated Node #0,1,1: 100:[54, 49] Operation: 56-7=49
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 100:[7, 2], Operations: ['73-17=56', '56-54=2']
Exploring Operation: 7+2=9, Resulting Numbers: [9]
9,100 unequal: No Solution
Exploring Operation: 7-2=5, Resulting Numbers: [5]
5,100 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:[54, 49], Operations: ['73-17=56', '56-7=49']
Exploring Operation: 54-49=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Exploring Operation: 54+49=103, Resulting Numbers: [103]
103,100 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 |
[
63,
99,
25,
56
] | 81 | [
"63+99=162",
"25+56=81",
"162-81=81"
] | Current State: 81:[63, 99, 25, 56], Operations: []
Exploring Operation: 63+99=162, Resulting Numbers: [25, 56, 162]
Generated Node #2: [25, 56, 162] from Operation: 63+99=162
Current State: 81:[25, 56, 162], Operations: ['63+99=162']
Exploring Operation: 25+56=81, Resulting Numbers: [162, 81]
Generated Node #3: [162, 81] from Operation: 25+56=81
Current State: 81:[162, 81], Operations: ['63+99=162', '25+56=81']
Exploring Operation: 162-81=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 | Current State: 81:[63, 99, 25, 56], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [25, 56, 36]
Generated Node #0,0: 81:[25, 56, 36] Operation: 99-63=36
Exploring Operation: 63-56=7, Resulting Numbers: [99, 25, 7]
Generated Node #0,1: 81:[99, 25, 7] Operation: 63-56=7
Start Sub Search at level 1: Moving to Node #0,1
Current State: 81:[99, 25, 7], Operations: ['63-56=7']
Exploring Operation: 99-7=92, Resulting Numbers: [25, 92]
Generated Node #0,1,0: 81:[25, 92] Operation: 99-7=92
Exploring Operation: 99-25=74, Resulting Numbers: [7, 74]
Generated Node #0,1,1: 81:[7, 74] Operation: 99-25=74
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 81:[7, 74], Operations: ['63-56=7', '99-25=74']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,81 unequal: No Solution
Exploring Operation: 7+74=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Moving to Node #0
Current State: 81:[63, 99, 25, 56], Operations: []
Exploring Operation: 63-56=7, Resulting Numbers: [99, 25, 7]
Generated Node #0,1: 81:[99, 25, 7] Operation: 63-56=7
Moving to Node #0,1
Current State: 81:[99, 25, 7], Operations: ['63-56=7']
Exploring Operation: 99-25=74, Resulting Numbers: [7, 74]
Generated Node #0,1,1: 81:[7, 74] Operation: 99-25=74
Moving to Node #0,1,1
Current State: 81:[7, 74], Operations: ['63-56=7', '99-25=74']
Exploring Operation: 7+74=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
16,
21,
48,
32
] | 53 | [
"16+21=37",
"48-32=16",
"37+16=53"
] | Current State: 53:[16, 21, 48, 32], Operations: []
Exploring Operation: 16+21=37, Resulting Numbers: [48, 32, 37]
Generated Node #2: [48, 32, 37] from Operation: 16+21=37
Current State: 53:[48, 32, 37], Operations: ['16+21=37']
Exploring Operation: 48-32=16, Resulting Numbers: [37, 16]
Generated Node #3: [37, 16] from Operation: 48-32=16
Current State: 53:[37, 16], Operations: ['16+21=37', '48-32=16']
Exploring Operation: 37+16=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 | Current State: 53:[16, 21, 48, 32], Operations: []
Exploring Operation: 16+32=48, Resulting Numbers: [21, 48, 48]
Generated Node #0,0: 53:[21, 48, 48] Operation: 16+32=48
Exploring Operation: 21+32=53, Resulting Numbers: [16, 48, 53]
Generated Node #0,1: 53:[16, 48, 53] Operation: 21+32=53
Exploring Operation: 16+48=64, Resulting Numbers: [21, 32, 64]
Generated Node #0,2: 53:[21, 32, 64] Operation: 16+48=64
Exploring Operation: 21-16=5, Resulting Numbers: [48, 32, 5]
Generated Node #0,3: 53:[48, 32, 5] Operation: 21-16=5
Exploring Operation: 16+21=37, Resulting Numbers: [48, 32, 37]
Generated Node #0,4: 53:[48, 32, 37] Operation: 16+21=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 53:[21, 48, 48], Operations: ['16+32=48']
Exploring Operation: 48+48=96, Resulting Numbers: [21, 96]
Generated Node #0,0,0: 53:[21, 96] Operation: 48+48=96
Exploring Operation: 48-21=27, Resulting Numbers: [48, 27]
Generated Node #0,0,1: 53:[48, 27] Operation: 48-21=27
Exploring Operation: 48-21=27, Resulting Numbers: [48, 27]
Generated Node #0,0,2: 53:[48, 27] Operation: 48-21=27
Exploring Operation: 21+48=69, Resulting Numbers: [48, 69]
Generated Node #0,0,3: 53:[48, 69] Operation: 21+48=69
Exploring Operation: 21+48=69, Resulting Numbers: [48, 69]
Generated Node #0,0,4: 53:[48, 69] Operation: 21+48=69
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 53:[48, 69], Operations: ['16+32=48', '21+48=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 53:[48, 69], Operations: ['16+32=48', '21+48=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 53:[48, 27], Operations: ['16+32=48', '48-21=27']
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 53:[48, 27], Operations: ['16+32=48', '48-21=27']
Exploring Operation: 48*27=1296, Resulting Numbers: [1296]
1296,53 unequal: No Solution
Exploring Operation: 48-27=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48+27=75, Resulting Numbers: [75]
75,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 53:[21, 96], Operations: ['16+32=48', '48+48=96']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,53 unequal: No Solution
Exploring Operation: 21+96=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 21*96=2016, Resulting Numbers: [2016]
2016,53 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 53:[16, 48, 53], Operations: ['21+32=53']
Exploring Operation: 16+53=69, Resulting Numbers: [48, 69]
Generated Node #0,1,0: 53:[48, 69] Operation: 16+53=69
Exploring Operation: 48/16=3, Resulting Numbers: [53, 3]
Generated Node #0,1,1: 53:[53, 3] Operation: 48/16=3
Exploring Operation: 16+48=64, Resulting Numbers: [53, 64]
Generated Node #0,1,2: 53:[53, 64] Operation: 16+48=64
Exploring Operation: 53-16=37, Resulting Numbers: [48, 37]
Generated Node #0,1,3: 53:[48, 37] Operation: 53-16=37
Exploring Operation: 48-16=32, Resulting Numbers: [53, 32]
Generated Node #0,1,4: 53:[53, 32] Operation: 48-16=32
Moving to Node #0,1,2
Current State: 53:[53, 64], Operations: ['21+32=53', '16+48=64']
Exploring Operation: 53*64=3392, Resulting Numbers: [3392]
3392,53 unequal: No Solution
Exploring Operation: 53+64=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Moving to Node #0,1,3
Current State: 53:[48, 37], Operations: ['21+32=53', '53-16=37']
Exploring Operation: 48*37=1776, Resulting Numbers: [1776]
1776,53 unequal: No Solution
Exploring Operation: 48-37=11, Resulting Numbers: [11]
11,53 unequal: No Solution
Exploring Operation: 48+37=85, Resulting Numbers: [85]
85,53 unequal: No Solution
Moving to Node #0,1,0
Current State: 53:[48, 69], Operations: ['21+32=53', '16+53=69']
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,53 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Moving to Node #0,1,4
Current State: 53:[53, 32], Operations: ['21+32=53', '48-16=32']
Exploring Operation: 53*32=1696, Resulting Numbers: [1696]
1696,53 unequal: No Solution
Exploring Operation: 53+32=85, Resulting Numbers: [85]
85,53 unequal: No Solution
Exploring Operation: 53-32=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Moving to Node #0,1,1
Current State: 53:[53, 3], Operations: ['21+32=53', '48/16=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,53 unequal: No Solution
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,53 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,53 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 53:[48, 32, 37], Operations: ['16+21=37']
Exploring Operation: 48+32=80, Resulting Numbers: [37, 80]
Generated Node #0,4,0: 53:[37, 80] Operation: 48+32=80
Exploring Operation: 48+37=85, Resulting Numbers: [32, 85]
Generated Node #0,4,1: 53:[32, 85] Operation: 48+37=85
Exploring Operation: 37-32=5, Resulting Numbers: [48, 5]
Generated Node #0,4,2: 53:[48, 5] Operation: 37-32=5
Exploring Operation: 32+37=69, Resulting Numbers: [48, 69]
Generated Node #0,4,3: 53:[48, 69] Operation: 32+37=69
Exploring Operation: 48-32=16, Resulting Numbers: [37, 16]
Generated Node #0,4,4: 53:[37, 16] Operation: 48-32=16
Moving to Node #0,4,3
Current State: 53:[48, 69], Operations: ['16+21=37', '32+37=69']
Exploring Operation: 48+69=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 69-48=21, Resulting Numbers: [21]
21,53 unequal: No Solution
Exploring Operation: 48*69=3312, Resulting Numbers: [3312]
3312,53 unequal: No Solution
Moving to Node #0,4,0
Current State: 53:[37, 80], Operations: ['16+21=37', '48+32=80']
Exploring Operation: 37+80=117, Resulting Numbers: [117]
117,53 unequal: No Solution
Exploring Operation: 37*80=2960, Resulting Numbers: [2960]
2960,53 unequal: No Solution
Exploring Operation: 80-37=43, Resulting Numbers: [43]
43,53 unequal: No Solution
Moving to Node #0,4,1
Current State: 53:[32, 85], Operations: ['16+21=37', '48+37=85']
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[16, 21, 48, 32], Operations: []
Exploring Operation: 16+21=37, Resulting Numbers: [48, 32, 37]
Generated Node #0,4: 53:[48, 32, 37] Operation: 16+21=37
Moving to Node #0,4
Current State: 53:[48, 32, 37], Operations: ['16+21=37']
Exploring Operation: 48+37=85, Resulting Numbers: [32, 85]
Generated Node #0,4,1: 53:[32, 85] Operation: 48+37=85
Moving to Node #0,4,1
Current State: 53:[32, 85], Operations: ['16+21=37', '48+37=85']
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.947049 | hs_5 | sum_heuristic |
[
28,
49,
79,
77
] | 35 | [
"28*77=2156",
"2156/49=44",
"79-44=35"
] | Current State: 35:[28, 49, 79, 77], Operations: []
Exploring Operation: 28*77=2156, Resulting Numbers: [49, 79, 2156]
Generated Node #2: [49, 79, 2156] from Operation: 28*77=2156
Current State: 35:[49, 79, 2156], Operations: ['28*77=2156']
Exploring Operation: 2156/49=44, Resulting Numbers: [79, 44]
Generated Node #3: [79, 44] from Operation: 2156/49=44
Current State: 35:[79, 44], Operations: ['28*77=2156', '2156/49=44']
Exploring Operation: 79-44=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[28, 49, 79, 77], Operations: []
Exploring Operation: 79-49=30, Resulting Numbers: [28, 77, 30]
Generated Node #0,0: 35:[28, 77, 30] Operation: 79-49=30
Exploring Operation: 79-77=2, Resulting Numbers: [28, 49, 2]
Generated Node #0,1: 35:[28, 49, 2] Operation: 79-77=2
Moving to Node #0,1
Current State: 35:[28, 49, 2], Operations: ['79-77=2']
Exploring Operation: 49-28=21, Resulting Numbers: [2, 21]
Generated Node #0,1,0: 35:[2, 21] Operation: 49-28=21
Exploring Operation: 28+2=30, Resulting Numbers: [49, 30]
Generated Node #0,1,1: 35:[49, 30] Operation: 28+2=30
Moving to Node #0,0
Current State: 35:[28, 77, 30], Operations: ['79-49=30']
Exploring Operation: 77-30=47, Resulting Numbers: [28, 47]
Generated Node #0,0,0: 35:[28, 47] Operation: 77-30=47
Exploring Operation: 77-28=49, Resulting Numbers: [30, 49]
Generated Node #0,0,1: 35:[30, 49] Operation: 77-28=49
Moving to Node #0,1,0
Current State: 35:[2, 21], Operations: ['79-77=2', '49-28=21']
Exploring Operation: 2+21=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 2*21=42, Resulting Numbers: [42]
42,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[28, 47], Operations: ['79-49=30', '77-30=47']
Exploring Operation: 28+47=75, Resulting Numbers: [75]
75,35 unequal: No Solution
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[49, 30], Operations: ['79-77=2', '28+2=30']
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,35 unequal: No Solution
Exploring Operation: 49+30=79, Resulting Numbers: [79]
79,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[30, 49], Operations: ['79-49=30', '77-28=49']
Exploring Operation: 30+49=79, Resulting Numbers: [79]
79,35 unequal: No Solution
Exploring Operation: 49-30=19, Resulting Numbers: [19]
19,35 unequal: No Solution
No solution found.
| 0 | hs_2 | sum_heuristic |
[
32,
17,
6,
88
] | 45 | [
"32+17=49",
"6+88=94",
"94-49=45"
] | Current State: 45:[32, 17, 6, 88], Operations: []
Exploring Operation: 32+17=49, Resulting Numbers: [6, 88, 49]
Generated Node #2: [6, 88, 49] from Operation: 32+17=49
Current State: 45:[6, 88, 49], Operations: ['32+17=49']
Exploring Operation: 6+88=94, Resulting Numbers: [49, 94]
Generated Node #3: [49, 94] from Operation: 6+88=94
Current State: 45:[49, 94], Operations: ['32+17=49', '6+88=94']
Exploring Operation: 94-49=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 | Current State: 45:[32, 17, 6, 88], Operations: []
Exploring Operation: 32-17=15, Resulting Numbers: [6, 88, 15]
Generated Node #0,0: 45:[6, 88, 15] Operation: 32-17=15
Exploring Operation: 88-17=71, Resulting Numbers: [32, 6, 71]
Generated Node #0,1: 45:[32, 6, 71] Operation: 88-17=71
Exploring Operation: 88-32=56, Resulting Numbers: [17, 6, 56]
Generated Node #0,2: 45:[17, 6, 56] Operation: 88-32=56
Start Sub Search at level 1: Moving to Node #0,2
Current State: 45:[17, 6, 56], Operations: ['88-32=56']
Exploring Operation: 56-17=39, Resulting Numbers: [6, 39]
Generated Node #0,2,0: 45:[6, 39] Operation: 56-17=39
Exploring Operation: 56-6=50, Resulting Numbers: [17, 50]
Generated Node #0,2,1: 45:[17, 50] Operation: 56-6=50
Exploring Operation: 17-6=11, Resulting Numbers: [56, 11]
Generated Node #0,2,2: 45:[56, 11] Operation: 17-6=11
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 45:[6, 39], Operations: ['88-32=56', '56-17=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,45 unequal: No Solution
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[32, 17, 6, 88], Operations: []
Exploring Operation: 88-32=56, Resulting Numbers: [17, 6, 56]
Generated Node #0,2: 45:[17, 6, 56] Operation: 88-32=56
Moving to Node #0,2
Current State: 45:[17, 6, 56], Operations: ['88-32=56']
Exploring Operation: 56-17=39, Resulting Numbers: [6, 39]
Generated Node #0,2,0: 45:[6, 39] Operation: 56-17=39
Moving to Node #0,2,0
Current State: 45:[6, 39], Operations: ['88-32=56', '56-17=39']
Exploring Operation: 6+39=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | sum_heuristic |
[
95,
41,
37,
60
] | 82 | [
"95-37=58",
"60-58=2",
"41*2=82"
] | Current State: 82:[95, 41, 37, 60], Operations: []
Exploring Operation: 95-37=58, Resulting Numbers: [41, 60, 58]
Generated Node #2: [41, 60, 58] from Operation: 95-37=58
Current State: 82:[41, 60, 58], Operations: ['95-37=58']
Exploring Operation: 60-58=2, Resulting Numbers: [41, 2]
Generated Node #3: [41, 2] from Operation: 60-58=2
Current State: 82:[41, 2], Operations: ['95-37=58', '60-58=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 | Current State: 82:[95, 41, 37, 60], Operations: []
Exploring Operation: 37+60=97, Resulting Numbers: [95, 41, 97]
Generated Node #0,0: 82:[95, 41, 97] Operation: 37+60=97
Exploring Operation: 60-37=23, Resulting Numbers: [95, 41, 23]
Generated Node #0,1: 82:[95, 41, 23] Operation: 60-37=23
Exploring Operation: 41-37=4, Resulting Numbers: [95, 60, 4]
Generated Node #0,2: 82:[95, 60, 4] Operation: 41-37=4
Exploring Operation: 60-41=19, Resulting Numbers: [95, 37, 19]
Generated Node #0,3: 82:[95, 37, 19] Operation: 60-41=19
Exploring Operation: 95-60=35, Resulting Numbers: [41, 37, 35]
Generated Node #0,4: 82:[41, 37, 35] Operation: 95-60=35
Moving to Node #0,4
Current State: 82:[41, 37, 35], Operations: ['95-60=35']
Exploring Operation: 41+37=78, Resulting Numbers: [35, 78]
Generated Node #0,4,0: 82:[35, 78] Operation: 41+37=78
Exploring Operation: 41-37=4, Resulting Numbers: [35, 4]
Generated Node #0,4,1: 82:[35, 4] Operation: 41-37=4
Exploring Operation: 37-35=2, Resulting Numbers: [41, 2]
Generated Node #0,4,2: 82:[41, 2] Operation: 37-35=2
Exploring Operation: 41+35=76, Resulting Numbers: [37, 76]
Generated Node #0,4,3: 82:[37, 76] Operation: 41+35=76
Exploring Operation: 41-35=6, Resulting Numbers: [37, 6]
Generated Node #0,4,4: 82:[37, 6] Operation: 41-35=6
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 82:[41, 2], Operations: ['95-60=35', '37-35=2']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,82 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,82 unequal: No Solution
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Moving to Node #0
Current State: 82:[95, 41, 37, 60], Operations: []
Exploring Operation: 95-60=35, Resulting Numbers: [41, 37, 35]
Generated Node #0,4: 82:[41, 37, 35] Operation: 95-60=35
Moving to Node #0,4
Current State: 82:[41, 37, 35], Operations: ['95-60=35']
Exploring Operation: 37-35=2, Resulting Numbers: [41, 2]
Generated Node #0,4,2: 82:[41, 2] Operation: 37-35=2
Moving to Node #0,4,2
Current State: 82:[41, 2], Operations: ['95-60=35', '37-35=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | sum_heuristic |
[
63,
99,
71,
94
] | 59 | [
"99-63=36",
"94-71=23",
"36+23=59"
] | Current State: 59:[63, 99, 71, 94], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [71, 94, 36]
Generated Node #2: [71, 94, 36] from Operation: 99-63=36
Current State: 59:[71, 94, 36], Operations: ['99-63=36']
Exploring Operation: 94-71=23, Resulting Numbers: [36, 23]
Generated Node #3: [36, 23] from Operation: 94-71=23
Current State: 59:[36, 23], Operations: ['99-63=36', '94-71=23']
Exploring Operation: 36+23=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 | Current State: 59:[63, 99, 71, 94], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [71, 94, 36]
Generated Node #0,0: 59:[71, 94, 36] Operation: 99-63=36
Moving to Node #0,0
Current State: 59:[71, 94, 36], Operations: ['99-63=36']
Exploring Operation: 94-36=58, Resulting Numbers: [71, 58]
Generated Node #0,0,0: 59:[71, 58] Operation: 94-36=58
Moving to Node #0,0,0
Current State: 59:[71, 58], Operations: ['99-63=36', '94-36=58']
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,59 unequal: No Solution
No solution found.
| 0 | hs_1 | mult_heuristic |
[
75,
4,
79,
83
] | 76 | [
"4+79=83",
"83/83=1",
"75+1=76"
] | Current State: 76:[75, 4, 79, 83], Operations: []
Exploring Operation: 4+79=83, Resulting Numbers: [75, 83, 83]
Generated Node #2: [75, 83, 83] from Operation: 4+79=83
Current State: 76:[75, 83, 83], Operations: ['4+79=83']
Exploring Operation: 83/83=1, Resulting Numbers: [75, 1]
Generated Node #3: [75, 1] from Operation: 83/83=1
Current State: 76:[75, 1], Operations: ['4+79=83', '83/83=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[75, 4, 79, 83], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [75, 4, 4]
Generated Node #0,0: 76:[75, 4, 4] Operation: 83-79=4
Exploring Operation: 79-75=4, Resulting Numbers: [4, 83, 4]
Generated Node #0,1: 76:[4, 83, 4] Operation: 79-75=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[75, 4, 4], Operations: ['83-79=4']
Exploring Operation: 75+4=79, Resulting Numbers: [4, 79]
Generated Node #0,0,0: 76:[4, 79] Operation: 75+4=79
Exploring Operation: 4/4=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 76:[75, 1] Operation: 4/4=1
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 76:[75, 1], Operations: ['83-79=4', '4/4=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[75, 4, 79, 83], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [75, 4, 4]
Generated Node #0,0: 76:[75, 4, 4] Operation: 83-79=4
Moving to Node #0,0
Current State: 76:[75, 4, 4], Operations: ['83-79=4']
Exploring Operation: 4/4=1, Resulting Numbers: [75, 1]
Generated Node #0,0,1: 76:[75, 1] Operation: 4/4=1
Moving to Node #0,0,1
Current State: 76:[75, 1], Operations: ['83-79=4', '4/4=1']
Exploring Operation: 75+1=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
42,
12,
21,
25
] | 76 | [
"42-12=30",
"21+25=46",
"30+46=76"
] | Current State: 76:[42, 12, 21, 25], Operations: []
Exploring Operation: 42-12=30, Resulting Numbers: [21, 25, 30]
Generated Node #2: [21, 25, 30] from Operation: 42-12=30
Current State: 76:[21, 25, 30], Operations: ['42-12=30']
Exploring Operation: 21+25=46, Resulting Numbers: [30, 46]
Generated Node #3: [30, 46] from Operation: 21+25=46
Current State: 76:[30, 46], Operations: ['42-12=30', '21+25=46']
Exploring Operation: 30+46=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[42, 12, 21, 25], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [42, 21, 13]
Generated Node #0,0: 76:[42, 21, 13] Operation: 25-12=13
Exploring Operation: 25-21=4, Resulting Numbers: [42, 12, 4]
Generated Node #0,1: 76:[42, 12, 4] Operation: 25-21=4
Exploring Operation: 42-25=17, Resulting Numbers: [12, 21, 17]
Generated Node #0,2: 76:[12, 21, 17] Operation: 42-25=17
Exploring Operation: 42/21=2, Resulting Numbers: [12, 25, 2]
Generated Node #0,3: 76:[12, 25, 2] Operation: 42/21=2
Exploring Operation: 12+25=37, Resulting Numbers: [42, 21, 37]
Generated Node #0,4: 76:[42, 21, 37] Operation: 12+25=37
Moving to Node #0,4
Current State: 76:[42, 21, 37], Operations: ['12+25=37']
Exploring Operation: 42-37=5, Resulting Numbers: [21, 5]
Generated Node #0,4,0: 76:[21, 5] Operation: 42-37=5
Exploring Operation: 42-21=21, Resulting Numbers: [37, 21]
Generated Node #0,4,1: 76:[37, 21] Operation: 42-21=21
Exploring Operation: 42+37=79, Resulting Numbers: [21, 79]
Generated Node #0,4,2: 76:[21, 79] Operation: 42+37=79
Exploring Operation: 42/21=2, Resulting Numbers: [37, 2]
Generated Node #0,4,3: 76:[37, 2] Operation: 42/21=2
Exploring Operation: 37-21=16, Resulting Numbers: [42, 16]
Generated Node #0,4,4: 76:[42, 16] Operation: 37-21=16
Moving to Node #0,2
Current State: 76:[12, 21, 17], Operations: ['42-25=17']
Exploring Operation: 21-17=4, Resulting Numbers: [12, 4]
Generated Node #0,2,0: 76:[12, 4] Operation: 21-17=4
Exploring Operation: 21-12=9, Resulting Numbers: [17, 9]
Generated Node #0,2,1: 76:[17, 9] Operation: 21-12=9
Exploring Operation: 12+21=33, Resulting Numbers: [17, 33]
Generated Node #0,2,2: 76:[17, 33] Operation: 12+21=33
Exploring Operation: 21+17=38, Resulting Numbers: [12, 38]
Generated Node #0,2,3: 76:[12, 38] Operation: 21+17=38
Exploring Operation: 17-12=5, Resulting Numbers: [21, 5]
Generated Node #0,2,4: 76:[21, 5] Operation: 17-12=5
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 76:[21, 5], Operations: ['42-25=17', '17-12=5']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 21+5=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 21*5=105, Resulting Numbers: [105]
105,76 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 #0,2,0
Current State: 76:[12, 4], Operations: ['42-25=17', '21-17=4']
Exploring Operation: 12*4=48, Resulting Numbers: [48]
48,76 unequal: No Solution
Exploring Operation: 12+4=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,76 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 #0,2,1
Current State: 76:[17, 9], Operations: ['42-25=17', '21-12=9']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 17*9=153, Resulting Numbers: [153]
153,76 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 #0,2,2
Current State: 76:[17, 33], Operations: ['42-25=17', '12+21=33']
Exploring Operation: 17+33=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 33-17=16, Resulting Numbers: [16]
16,76 unequal: No Solution
Exploring Operation: 17*33=561, Resulting Numbers: [561]
561,76 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 #0,2,3
Current State: 76:[12, 38], Operations: ['42-25=17', '21+17=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,76 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: 76:[42, 12, 4], Operations: ['25-21=4']
Exploring Operation: 12-4=8, Resulting Numbers: [42, 8]
Generated Node #0,1,0: 76:[42, 8] Operation: 12-4=8
Exploring Operation: 12+4=16, Resulting Numbers: [42, 16]
Generated Node #0,1,1: 76:[42, 16] Operation: 12+4=16
Exploring Operation: 42-12=30, Resulting Numbers: [4, 30]
Generated Node #0,1,2: 76:[4, 30] Operation: 42-12=30
Exploring Operation: 42-4=38, Resulting Numbers: [12, 38]
Generated Node #0,1,3: 76:[12, 38] Operation: 42-4=38
Exploring Operation: 12/4=3, Resulting Numbers: [42, 3]
Generated Node #0,1,4: 76:[42, 3] Operation: 12/4=3
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 76:[42, 3], Operations: ['25-21=4', '12/4=3']
Exploring Operation: 42*3=126, Resulting Numbers: [126]
126,76 unequal: No Solution
Exploring Operation: 42/3=14, Resulting Numbers: [14]
14,76 unequal: No Solution
Exploring Operation: 42+3=45, Resulting Numbers: [45]
45,76 unequal: No Solution
Exploring Operation: 42-3=39, Resulting Numbers: [39]
39,76 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:[42, 16], Operations: ['25-21=4', '12+4=16']
Exploring Operation: 42-16=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 42*16=672, Resulting Numbers: [672]
672,76 unequal: No Solution
Exploring Operation: 42+16=58, Resulting Numbers: [58]
58,76 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:[12, 38], Operations: ['25-21=4', '42-4=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 12*38=456, Resulting Numbers: [456]
456,76 unequal: No Solution
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,76 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:[42, 8], Operations: ['25-21=4', '12-4=8']
Exploring Operation: 42*8=336, Resulting Numbers: [336]
336,76 unequal: No Solution
Exploring Operation: 42+8=50, Resulting Numbers: [50]
50,76 unequal: No Solution
Exploring Operation: 42-8=34, Resulting Numbers: [34]
34,76 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:[4, 30], Operations: ['25-21=4', '42-12=30']
Exploring Operation: 4*30=120, Resulting Numbers: [120]
120,76 unequal: No Solution
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 4+30=34, Resulting Numbers: [34]
34,76 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:[42, 21, 13], Operations: ['25-12=13']
Exploring Operation: 42-13=29, Resulting Numbers: [21, 29]
Generated Node #0,0,0: 76:[21, 29] Operation: 42-13=29
Exploring Operation: 42-21=21, Resulting Numbers: [13, 21]
Generated Node #0,0,1: 76:[13, 21] Operation: 42-21=21
Exploring Operation: 21+13=34, Resulting Numbers: [42, 34]
Generated Node #0,0,2: 76:[42, 34] Operation: 21+13=34
Exploring Operation: 21-13=8, Resulting Numbers: [42, 8]
Generated Node #0,0,3: 76:[42, 8] Operation: 21-13=8
Exploring Operation: 42/21=2, Resulting Numbers: [13, 2]
Generated Node #0,0,4: 76:[13, 2] Operation: 42/21=2
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 76:[13, 2], Operations: ['25-12=13', '42/21=2']
Exploring Operation: 13+2=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 13*2=26, Resulting Numbers: [26]
26,76 unequal: No Solution
Exploring Operation: 13-2=11, Resulting Numbers: [11]
11,76 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:[13, 21], Operations: ['25-12=13', '42-21=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 13*21=273, Resulting Numbers: [273]
273,76 unequal: No Solution
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,76 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:[42, 34], Operations: ['25-12=13', '21+13=34']
Exploring Operation: 42+34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[42, 12, 21, 25], Operations: []
Exploring Operation: 25-12=13, Resulting Numbers: [42, 21, 13]
Generated Node #0,0: 76:[42, 21, 13] Operation: 25-12=13
Moving to Node #0,0
Current State: 76:[42, 21, 13], Operations: ['25-12=13']
Exploring Operation: 21+13=34, Resulting Numbers: [42, 34]
Generated Node #0,0,2: 76:[42, 34] Operation: 21+13=34
Moving to Node #0,0,2
Current State: 76:[42, 34], Operations: ['25-12=13', '21+13=34']
Exploring Operation: 42+34=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.940972 | hs_5 | sum_heuristic |
[
3,
20,
83,
55
] | 64 | [
"83-55=28",
"3*28=84",
"84-20=64"
] | Current State: 64:[3, 20, 83, 55], Operations: []
Exploring Operation: 83-55=28, Resulting Numbers: [3, 20, 28]
Generated Node #2: [3, 20, 28] from Operation: 83-55=28
Current State: 64:[3, 20, 28], Operations: ['83-55=28']
Exploring Operation: 3*28=84, Resulting Numbers: [20, 84]
Generated Node #3: [20, 84] from Operation: 3*28=84
Current State: 64:[20, 84], Operations: ['83-55=28', '3*28=84']
Exploring Operation: 84-20=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 | Current State: 64:[3, 20, 83, 55], Operations: []
Exploring Operation: 83-20=63, Resulting Numbers: [3, 55, 63]
Generated Node #0,0: 64:[3, 55, 63] Operation: 83-20=63
Exploring Operation: 55-20=35, Resulting Numbers: [3, 83, 35]
Generated Node #0,1: 64:[3, 83, 35] Operation: 55-20=35
Exploring Operation: 83-55=28, Resulting Numbers: [3, 20, 28]
Generated Node #0,2: 64:[3, 20, 28] Operation: 83-55=28
Exploring Operation: 20-3=17, Resulting Numbers: [83, 55, 17]
Generated Node #0,3: 64:[83, 55, 17] Operation: 20-3=17
Exploring Operation: 83-3=80, Resulting Numbers: [20, 55, 80]
Generated Node #0,4: 64:[20, 55, 80] Operation: 83-3=80
Moving to Node #0,2
Current State: 64:[3, 20, 28], Operations: ['83-55=28']
Exploring Operation: 3+28=31, Resulting Numbers: [20, 31]
Generated Node #0,2,0: 64:[20, 31] Operation: 3+28=31
Exploring Operation: 28-20=8, Resulting Numbers: [3, 8]
Generated Node #0,2,1: 64:[3, 8] Operation: 28-20=8
Exploring Operation: 20-3=17, Resulting Numbers: [28, 17]
Generated Node #0,2,2: 64:[28, 17] Operation: 20-3=17
Exploring Operation: 3+20=23, Resulting Numbers: [28, 23]
Generated Node #0,2,3: 64:[28, 23] Operation: 3+20=23
Exploring Operation: 3*20=60, Resulting Numbers: [28, 60]
Generated Node #0,2,4: 64:[28, 60] Operation: 3*20=60
Moving to Node #0,0
Current State: 64:[3, 55, 63], Operations: ['83-20=63']
Exploring Operation: 3+63=66, Resulting Numbers: [55, 66]
Generated Node #0,0,0: 64:[55, 66] Operation: 3+63=66
Exploring Operation: 63-55=8, Resulting Numbers: [3, 8]
Generated Node #0,0,1: 64:[3, 8] Operation: 63-55=8
Exploring Operation: 63-3=60, Resulting Numbers: [55, 60]
Generated Node #0,0,2: 64:[55, 60] Operation: 63-3=60
Exploring Operation: 55-3=52, Resulting Numbers: [63, 52]
Generated Node #0,0,3: 64:[63, 52] Operation: 55-3=52
Exploring Operation: 3+55=58, Resulting Numbers: [63, 58]
Generated Node #0,0,4: 64:[63, 58] Operation: 3+55=58
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 64:[3, 8], Operations: ['83-20=63', '63-55=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 64:[63, 58], Operations: ['83-20=63', '3+55=58']
Exploring Operation: 63*58=3654, Resulting Numbers: [3654]
3654,64 unequal: No Solution
Exploring Operation: 63+58=121, Resulting Numbers: [121]
121,64 unequal: No Solution
Exploring Operation: 63-58=5, Resulting Numbers: [5]
5,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 64:[55, 66], Operations: ['83-20=63', '3+63=66']
Exploring Operation: 55*66=3630, Resulting Numbers: [3630]
3630,64 unequal: No Solution
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 55+66=121, Resulting Numbers: [121]
121,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 64:[55, 60], Operations: ['83-20=63', '63-3=60']
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 64:[63, 52], Operations: ['83-20=63', '55-3=52']
Exploring Operation: 63*52=3276, Resulting Numbers: [3276]
3276,64 unequal: No Solution
Exploring Operation: 63-52=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 63+52=115, Resulting Numbers: [115]
115,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 64:[3, 83, 35], Operations: ['55-20=35']
Exploring Operation: 3+35=38, Resulting Numbers: [83, 38]
Generated Node #0,1,0: 64:[83, 38] Operation: 3+35=38
Exploring Operation: 35-3=32, Resulting Numbers: [83, 32]
Generated Node #0,1,1: 64:[83, 32] Operation: 35-3=32
Exploring Operation: 3+83=86, Resulting Numbers: [35, 86]
Generated Node #0,1,2: 64:[35, 86] Operation: 3+83=86
Exploring Operation: 83-35=48, Resulting Numbers: [3, 48]
Generated Node #0,1,3: 64:[3, 48] Operation: 83-35=48
Exploring Operation: 83-3=80, Resulting Numbers: [35, 80]
Generated Node #0,1,4: 64:[35, 80] Operation: 83-3=80
Moving to Node #0,3
Current State: 64:[83, 55, 17], Operations: ['20-3=17']
Exploring Operation: 83-17=66, Resulting Numbers: [55, 66]
Generated Node #0,3,0: 64:[55, 66] Operation: 83-17=66
Exploring Operation: 83-55=28, Resulting Numbers: [17, 28]
Generated Node #0,3,1: 64:[17, 28] Operation: 83-55=28
Exploring Operation: 55+17=72, Resulting Numbers: [83, 72]
Generated Node #0,3,2: 64:[83, 72] Operation: 55+17=72
Exploring Operation: 83+17=100, Resulting Numbers: [55, 100]
Generated Node #0,3,3: 64:[55, 100] Operation: 83+17=100
Exploring Operation: 55-17=38, Resulting Numbers: [83, 38]
Generated Node #0,3,4: 64:[83, 38] Operation: 55-17=38
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 64:[17, 28], Operations: ['20-3=17', '83-55=28']
Exploring Operation: 17+28=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 17*28=476, Resulting Numbers: [476]
476,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[55, 66], Operations: ['20-3=17', '83-17=66']
Exploring Operation: 55*66=3630, Resulting Numbers: [3630]
3630,64 unequal: No Solution
Exploring Operation: 66-55=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 55+66=121, Resulting Numbers: [121]
121,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 64:[83, 38], Operations: ['20-3=17', '55-17=38']
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,64 unequal: No Solution
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 64:[83, 72], Operations: ['20-3=17', '55+17=72']
Exploring Operation: 83*72=5976, Resulting Numbers: [5976]
5976,64 unequal: No Solution
Exploring Operation: 83+72=155, Resulting Numbers: [155]
155,64 unequal: No Solution
Exploring Operation: 83-72=11, Resulting Numbers: [11]
11,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 64:[55, 100], Operations: ['20-3=17', '83+17=100']
Exploring Operation: 55+100=155, Resulting Numbers: [155]
155,64 unequal: No Solution
Exploring Operation: 100-55=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 55*100=5500, Resulting Numbers: [5500]
5500,64 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: 64:[20, 55, 80], Operations: ['83-3=80']
Exploring Operation: 20+55=75, Resulting Numbers: [80, 75]
Generated Node #0,4,0: 64:[80, 75] Operation: 20+55=75
Exploring Operation: 55-20=35, Resulting Numbers: [80, 35]
Generated Node #0,4,1: 64:[80, 35] Operation: 55-20=35
Exploring Operation: 80/20=4, Resulting Numbers: [55, 4]
Generated Node #0,4,2: 64:[55, 4] Operation: 80/20=4
Exploring Operation: 80-20=60, Resulting Numbers: [55, 60]
Generated Node #0,4,3: 64:[55, 60] Operation: 80-20=60
Exploring Operation: 80-55=25, Resulting Numbers: [20, 25]
Generated Node #0,4,4: 64:[20, 25] Operation: 80-55=25
Moving to Node #0,2,1
Current State: 64:[3, 8], Operations: ['83-55=28', '28-20=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,64 unequal: No Solution
Moving to Node #0,2,2
Current State: 64:[28, 17], Operations: ['83-55=28', '20-3=17']
Exploring Operation: 28-17=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 28+17=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 28*17=476, Resulting Numbers: [476]
476,64 unequal: No Solution
Moving to Node #0,2,0
Current State: 64:[20, 31], Operations: ['83-55=28', '3+28=31']
Exploring Operation: 20*31=620, Resulting Numbers: [620]
620,64 unequal: No Solution
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,64 unequal: No Solution
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Moving to Node #0,2,4
Current State: 64:[28, 60], Operations: ['83-55=28', '3*20=60']
Exploring Operation: 28*60=1680, Resulting Numbers: [1680]
1680,64 unequal: No Solution
Exploring Operation: 28+60=88, Resulting Numbers: [88]
88,64 unequal: No Solution
Exploring Operation: 60-28=32, Resulting Numbers: [32]
32,64 unequal: No Solution
Moving to Node #0,4,2
Current State: 64:[55, 4], Operations: ['83-3=80', '80/20=4']
Exploring Operation: 55+4=59, Resulting Numbers: [59]
59,64 unequal: No Solution
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 55*4=220, Resulting Numbers: [220]
220,64 unequal: No Solution
Moving to Node #0,4,4
Current State: 64:[20, 25], Operations: ['83-3=80', '80-55=25']
Exploring Operation: 25-20=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 20+25=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 20*25=500, Resulting Numbers: [500]
500,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[28, 23], Operations: ['83-55=28', '3+20=23']
Exploring Operation: 28*23=644, Resulting Numbers: [644]
644,64 unequal: No Solution
Exploring Operation: 28-23=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 28+23=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Moving to Node #0,4,3
Current State: 64:[55, 60], Operations: ['83-3=80', '80-20=60']
Exploring Operation: 60-55=5, Resulting Numbers: [5]
5,64 unequal: No Solution
Exploring Operation: 55*60=3300, Resulting Numbers: [3300]
3300,64 unequal: No Solution
Exploring Operation: 55+60=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Moving to Node #0,1,3
Current State: 64:[3, 48], Operations: ['55-20=35', '83-35=48']
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,64 unequal: No Solution
Exploring Operation: 3*48=144, Resulting Numbers: [144]
144,64 unequal: No Solution
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Moving to Node #0,1,1
Current State: 64:[83, 32], Operations: ['55-20=35', '35-3=32']
Exploring Operation: 83-32=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 83*32=2656, Resulting Numbers: [2656]
2656,64 unequal: No Solution
Exploring Operation: 83+32=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Moving to Node #0,1,4
Current State: 64:[35, 80], Operations: ['55-20=35', '83-3=80']
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 35+80=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 35*80=2800, Resulting Numbers: [2800]
2800,64 unequal: No Solution
Moving to Node #0,4,1
Current State: 64:[80, 35], Operations: ['83-3=80', '55-20=35']
Exploring Operation: 80+35=115, Resulting Numbers: [115]
115,64 unequal: No Solution
Exploring Operation: 80-35=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 80*35=2800, Resulting Numbers: [2800]
2800,64 unequal: No Solution
Moving to Node #0,1,0
Current State: 64:[83, 38], Operations: ['55-20=35', '3+35=38']
Exploring Operation: 83+38=121, Resulting Numbers: [121]
121,64 unequal: No Solution
Exploring Operation: 83-38=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 83*38=3154, Resulting Numbers: [3154]
3154,64 unequal: No Solution
Moving to Node #0,1,2
Current State: 64:[35, 86], Operations: ['55-20=35', '3+83=86']
Exploring Operation: 35*86=3010, Resulting Numbers: [3010]
3010,64 unequal: No Solution
Exploring Operation: 86-35=51, Resulting Numbers: [51]
51,64 unequal: No Solution
Exploring Operation: 35+86=121, Resulting Numbers: [121]
121,64 unequal: No Solution
Moving to Node #0,4,0
Current State: 64:[80, 75], Operations: ['83-3=80', '20+55=75']
Exploring Operation: 80*75=6000, Resulting Numbers: [6000]
6000,64 unequal: No Solution
Exploring Operation: 80+75=155, Resulting Numbers: [155]
155,64 unequal: No Solution
Exploring Operation: 80-75=5, Resulting Numbers: [5]
5,64 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
31,
37,
14,
96
] | 12 | [
"37-31=6",
"14*6=84",
"96-84=12"
] | Current State: 12:[31, 37, 14, 96], Operations: []
Exploring Operation: 37-31=6, Resulting Numbers: [14, 96, 6]
Generated Node #2: [14, 96, 6] from Operation: 37-31=6
Current State: 12:[14, 96, 6], Operations: ['37-31=6']
Exploring Operation: 14*6=84, Resulting Numbers: [96, 84]
Generated Node #3: [96, 84] from Operation: 14*6=84
Current State: 12:[96, 84], Operations: ['37-31=6', '14*6=84']
Exploring Operation: 96-84=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[31, 37, 14, 96], Operations: []
Exploring Operation: 96-37=59, Resulting Numbers: [31, 14, 59]
Generated Node #0,0: 12:[31, 14, 59] Operation: 96-37=59
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[31, 14, 59], Operations: ['96-37=59']
Exploring Operation: 59-31=28, Resulting Numbers: [14, 28]
Generated Node #0,0,0: 12:[14, 28] Operation: 59-31=28
Moving to Node #0,0,0
Current State: 12:[14, 28], Operations: ['96-37=59', '59-31=28']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,12 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 |
[
38,
17,
56,
16
] | 19 | [
"38-17=21",
"56-16=40",
"40-21=19"
] | Current State: 19:[38, 17, 56, 16], Operations: []
Exploring Operation: 38-17=21, Resulting Numbers: [56, 16, 21]
Generated Node #2: [56, 16, 21] from Operation: 38-17=21
Current State: 19:[56, 16, 21], Operations: ['38-17=21']
Exploring Operation: 56-16=40, Resulting Numbers: [21, 40]
Generated Node #3: [21, 40] from Operation: 56-16=40
Current State: 19:[21, 40], Operations: ['38-17=21', '56-16=40']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[38, 17, 56, 16], Operations: []
Exploring Operation: 56-38=18, Resulting Numbers: [17, 16, 18]
Generated Node #0,0: 19:[17, 16, 18] Operation: 56-38=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[17, 16, 18], Operations: ['56-38=18']
Exploring Operation: 17+16=33, Resulting Numbers: [18, 33]
Generated Node #0,0,0: 19:[18, 33] Operation: 17+16=33
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 19:[18, 33], Operations: ['56-38=18', '17+16=33']
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,19 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
2,
68,
93,
6
] | 31 | [
"68-6=62",
"2*62=124",
"124-93=31"
] | Current State: 31:[2, 68, 93, 6], Operations: []
Exploring Operation: 68-6=62, Resulting Numbers: [2, 93, 62]
Generated Node #2: [2, 93, 62] from Operation: 68-6=62
Current State: 31:[2, 93, 62], Operations: ['68-6=62']
Exploring Operation: 2*62=124, Resulting Numbers: [93, 124]
Generated Node #3: [93, 124] from Operation: 2*62=124
Current State: 31:[93, 124], Operations: ['68-6=62', '2*62=124']
Exploring Operation: 124-93=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[2, 68, 93, 6], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [2, 6, 25]
Generated Node #0,0: 31:[2, 6, 25] Operation: 93-68=25
Moving to Node #0,0
Current State: 31:[2, 6, 25], Operations: ['93-68=25']
Exploring Operation: 2*6=12, Resulting Numbers: [25, 12]
Generated Node #0,0,0: 31:[25, 12] Operation: 2*6=12
Moving to Node #0,0,0
Current State: 31:[25, 12], Operations: ['93-68=25', '2*6=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,31 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
56,
20,
61,
36
] | 32 | [
"61-56=5",
"20/5=4",
"36-4=32"
] | Current State: 32:[56, 20, 61, 36], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [20, 36, 5]
Generated Node #2: [20, 36, 5] from Operation: 61-56=5
Current State: 32:[20, 36, 5], Operations: ['61-56=5']
Exploring Operation: 20/5=4, Resulting Numbers: [36, 4]
Generated Node #3: [36, 4] from Operation: 20/5=4
Current State: 32:[36, 4], Operations: ['61-56=5', '20/5=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[56, 20, 61, 36], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [20, 61, 20]
Generated Node #0,0: 32:[20, 61, 20] Operation: 56-36=20
Exploring Operation: 61-36=25, Resulting Numbers: [56, 20, 25]
Generated Node #0,1: 32:[56, 20, 25] Operation: 61-36=25
Exploring Operation: 56-20=36, Resulting Numbers: [61, 36, 36]
Generated Node #0,2: 32:[61, 36, 36] Operation: 56-20=36
Exploring Operation: 61-56=5, Resulting Numbers: [20, 36, 5]
Generated Node #0,3: 32:[20, 36, 5] Operation: 61-56=5
Exploring Operation: 61-20=41, Resulting Numbers: [56, 36, 41]
Generated Node #0,4: 32:[56, 36, 41] Operation: 61-20=41
Start Sub Search at level 1: Moving to Node #0,3
Current State: 32:[20, 36, 5], Operations: ['61-56=5']
Exploring Operation: 20-5=15, Resulting Numbers: [36, 15]
Generated Node #0,3,0: 32:[36, 15] Operation: 20-5=15
Exploring Operation: 20+5=25, Resulting Numbers: [36, 25]
Generated Node #0,3,1: 32:[36, 25] Operation: 20+5=25
Exploring Operation: 36-20=16, Resulting Numbers: [5, 16]
Generated Node #0,3,2: 32:[5, 16] Operation: 36-20=16
Exploring Operation: 20/5=4, Resulting Numbers: [36, 4]
Generated Node #0,3,3: 32:[36, 4] Operation: 20/5=4
Exploring Operation: 36-5=31, Resulting Numbers: [20, 31]
Generated Node #0,3,4: 32:[20, 31] Operation: 36-5=31
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 32:[5, 16], Operations: ['61-56=5', '36-20=16']
Exploring Operation: 16-5=11, Resulting Numbers: [11]
11,32 unequal: No Solution
Exploring Operation: 5+16=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,32 unequal: No Solution
No 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: 32:[36, 4], Operations: ['61-56=5', '20/5=4']
Exploring Operation: 36*4=144, Resulting Numbers: [144]
144,32 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[56, 20, 61, 36], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [20, 36, 5]
Generated Node #0,3: 32:[20, 36, 5] Operation: 61-56=5
Moving to Node #0,3
Current State: 32:[20, 36, 5], Operations: ['61-56=5']
Exploring Operation: 20/5=4, Resulting Numbers: [36, 4]
Generated Node #0,3,3: 32:[36, 4] Operation: 20/5=4
Moving to Node #0,3,3
Current State: 32:[36, 4], Operations: ['61-56=5', '20/5=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.983507 | hs_5 | sum_heuristic |
[
26,
92,
17,
10
] | 35 | [
"26*17=442",
"442-92=350",
"350/10=35"
] | Current State: 35:[26, 92, 17, 10], Operations: []
Exploring Operation: 26*17=442, Resulting Numbers: [92, 10, 442]
Generated Node #2: [92, 10, 442] from Operation: 26*17=442
Current State: 35:[92, 10, 442], Operations: ['26*17=442']
Exploring Operation: 442-92=350, Resulting Numbers: [10, 350]
Generated Node #3: [10, 350] from Operation: 442-92=350
Current State: 35:[10, 350], Operations: ['26*17=442', '442-92=350']
Exploring Operation: 350/10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[26, 92, 17, 10], Operations: []
Exploring Operation: 26-17=9, Resulting Numbers: [92, 10, 9]
Generated Node #0,0: 35:[92, 10, 9] Operation: 26-17=9
Exploring Operation: 92-17=75, Resulting Numbers: [26, 10, 75]
Generated Node #0,1: 35:[26, 10, 75] Operation: 92-17=75
Exploring Operation: 92-26=66, Resulting Numbers: [17, 10, 66]
Generated Node #0,2: 35:[17, 10, 66] Operation: 92-26=66
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[17, 10, 66], Operations: ['92-26=66']
Exploring Operation: 66-10=56, Resulting Numbers: [17, 56]
Generated Node #0,2,0: 35:[17, 56] Operation: 66-10=56
Exploring Operation: 17-10=7, Resulting Numbers: [66, 7]
Generated Node #0,2,1: 35:[66, 7] Operation: 17-10=7
Exploring Operation: 66-17=49, Resulting Numbers: [10, 49]
Generated Node #0,2,2: 35:[10, 49] Operation: 66-17=49
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 35:[10, 49], Operations: ['92-26=66', '66-17=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,35 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 35:[17, 56], Operations: ['92-26=66', '66-10=56']
Exploring Operation: 17*56=952, Resulting Numbers: [952]
952,35 unequal: No Solution
Exploring Operation: 56-17=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 17+56=73, Resulting Numbers: [73]
73,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 35:[66, 7], Operations: ['92-26=66', '17-10=7']
Exploring Operation: 66*7=462, Resulting Numbers: [462]
462,35 unequal: No Solution
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[26, 10, 75], Operations: ['92-17=75']
Exploring Operation: 75-26=49, Resulting Numbers: [10, 49]
Generated Node #0,1,0: 35:[10, 49] Operation: 75-26=49
Exploring Operation: 26+10=36, Resulting Numbers: [75, 36]
Generated Node #0,1,1: 35:[75, 36] Operation: 26+10=36
Exploring Operation: 75-10=65, Resulting Numbers: [26, 65]
Generated Node #0,1,2: 35:[26, 65] Operation: 75-10=65
Moving to Node #0,1,0
Current State: 35:[10, 49], Operations: ['92-17=75', '75-26=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 10*49=490, Resulting Numbers: [490]
490,35 unequal: No Solution
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[26, 65], Operations: ['92-17=75', '75-10=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 26*65=1690, Resulting Numbers: [1690]
1690,35 unequal: No Solution
Exploring Operation: 65-26=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[75, 36], Operations: ['92-17=75', '26+10=36']
Exploring Operation: 75*36=2700, Resulting Numbers: [2700]
2700,35 unequal: No Solution
Exploring Operation: 75-36=39, Resulting Numbers: [39]
39,35 unequal: No Solution
Exploring Operation: 75+36=111, Resulting Numbers: [111]
111,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[92, 10, 9], Operations: ['26-17=9']
Exploring Operation: 92-10=82, Resulting Numbers: [9, 82]
Generated Node #0,0,0: 35:[9, 82] Operation: 92-10=82
Exploring Operation: 92-9=83, Resulting Numbers: [10, 83]
Generated Node #0,0,1: 35:[10, 83] Operation: 92-9=83
Exploring Operation: 10-9=1, Resulting Numbers: [92, 1]
Generated Node #0,0,2: 35:[92, 1] Operation: 10-9=1
Moving to Node #0,0,0
Current State: 35:[9, 82], Operations: ['26-17=9', '92-10=82']
Exploring Operation: 82-9=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Exploring Operation: 9+82=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 9*82=738, Resulting Numbers: [738]
738,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[10, 83], Operations: ['26-17=9', '92-9=83']
Exploring Operation: 10*83=830, Resulting Numbers: [830]
830,35 unequal: No Solution
Exploring Operation: 10+83=93, Resulting Numbers: [93]
93,35 unequal: No Solution
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[92, 1], Operations: ['26-17=9', '10-9=1']
Exploring Operation: 92*1=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 92/1=92, Resulting Numbers: [92]
92,35 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 |
[
32,
66,
21,
59
] | 96 | [
"32*21=672",
"66-59=7",
"672/7=96"
] | Current State: 96:[32, 66, 21, 59], Operations: []
Exploring Operation: 32*21=672, Resulting Numbers: [66, 59, 672]
Generated Node #2: [66, 59, 672] from Operation: 32*21=672
Current State: 96:[66, 59, 672], Operations: ['32*21=672']
Exploring Operation: 66-59=7, Resulting Numbers: [672, 7]
Generated Node #3: [672, 7] from Operation: 66-59=7
Current State: 96:[672, 7], Operations: ['32*21=672', '66-59=7']
Exploring Operation: 672/7=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[32, 66, 21, 59], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [32, 21, 7]
Generated Node #0,0: 96:[32, 21, 7] Operation: 66-59=7
Exploring Operation: 66-21=45, Resulting Numbers: [32, 59, 45]
Generated Node #0,1: 96:[32, 59, 45] Operation: 66-21=45
Exploring Operation: 32+66=98, Resulting Numbers: [21, 59, 98]
Generated Node #0,2: 96:[21, 59, 98] Operation: 32+66=98
Moving to Node #0,0
Current State: 96:[32, 21, 7], Operations: ['66-59=7']
Exploring Operation: 32-21=11, Resulting Numbers: [7, 11]
Generated Node #0,0,0: 96:[7, 11] Operation: 32-21=11
Exploring Operation: 21-7=14, Resulting Numbers: [32, 14]
Generated Node #0,0,1: 96:[32, 14] Operation: 21-7=14
Exploring Operation: 21/7=3, Resulting Numbers: [32, 3]
Generated Node #0,0,2: 96:[32, 3] Operation: 21/7=3
Moving to Node #0,1
Current State: 96:[32, 59, 45], Operations: ['66-21=45']
Exploring Operation: 59-32=27, Resulting Numbers: [45, 27]
Generated Node #0,1,0: 96:[45, 27] Operation: 59-32=27
Exploring Operation: 32+59=91, Resulting Numbers: [45, 91]
Generated Node #0,1,1: 96:[45, 91] Operation: 32+59=91
Exploring Operation: 59-45=14, Resulting Numbers: [32, 14]
Generated Node #0,1,2: 96:[32, 14] Operation: 59-45=14
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 96:[32, 14], Operations: ['66-21=45', '59-45=14']
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,96 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[45, 27], Operations: ['66-21=45', '59-32=27']
Exploring Operation: 45*27=1215, Resulting Numbers: [1215]
1215,96 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 45+27=72, Resulting Numbers: [72]
72,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[45, 91], Operations: ['66-21=45', '32+59=91']
Exploring Operation: 45+91=136, Resulting Numbers: [136]
136,96 unequal: No Solution
Exploring Operation: 91-45=46, Resulting Numbers: [46]
46,96 unequal: No Solution
Exploring Operation: 45*91=4095, Resulting Numbers: [4095]
4095,96 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: 96:[21, 59, 98], Operations: ['32+66=98']
Exploring Operation: 59-21=38, Resulting Numbers: [98, 38]
Generated Node #0,2,0: 96:[98, 38] Operation: 59-21=38
Exploring Operation: 21+59=80, Resulting Numbers: [98, 80]
Generated Node #0,2,1: 96:[98, 80] Operation: 21+59=80
Exploring Operation: 98-59=39, Resulting Numbers: [21, 39]
Generated Node #0,2,2: 96:[21, 39] Operation: 98-59=39
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 96:[98, 38], Operations: ['32+66=98', '59-21=38']
Exploring Operation: 98*38=3724, Resulting Numbers: [3724]
3724,96 unequal: No Solution
Exploring Operation: 98-38=60, Resulting Numbers: [60]
60,96 unequal: No Solution
Exploring Operation: 98+38=136, Resulting Numbers: [136]
136,96 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:[21, 39], Operations: ['32+66=98', '98-59=39']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 21*39=819, Resulting Numbers: [819]
819,96 unequal: No Solution
Exploring Operation: 21+39=60, Resulting Numbers: [60]
60,96 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:[98, 80], Operations: ['32+66=98', '21+59=80']
Exploring Operation: 98+80=178, Resulting Numbers: [178]
178,96 unequal: No Solution
Exploring Operation: 98-80=18, Resulting Numbers: [18]
18,96 unequal: No Solution
Exploring Operation: 98*80=7840, Resulting Numbers: [7840]
7840,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 96:[32, 3], Operations: ['66-59=7', '21/7=3']
Exploring Operation: 32+3=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Exploring Operation: 32-3=29, Resulting Numbers: [29]
29,96 unequal: No Solution
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
Moving to Node #0
Current State: 96:[32, 66, 21, 59], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [32, 21, 7]
Generated Node #0,0: 96:[32, 21, 7] Operation: 66-59=7
Moving to Node #0,0
Current State: 96:[32, 21, 7], Operations: ['66-59=7']
Exploring Operation: 21/7=3, Resulting Numbers: [32, 3]
Generated Node #0,0,2: 96:[32, 3] Operation: 21/7=3
Moving to Node #0,0,2
Current State: 96:[32, 3], Operations: ['66-59=7', '21/7=3']
Exploring Operation: 32*3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 0.967882 | hs_3 | sum_heuristic |
[
85,
89,
23,
15
] | 12 | [
"89-85=4",
"23-15=8",
"4+8=12"
] | Current State: 12:[85, 89, 23, 15], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [23, 15, 4]
Generated Node #2: [23, 15, 4] from Operation: 89-85=4
Current State: 12:[23, 15, 4], Operations: ['89-85=4']
Exploring Operation: 23-15=8, Resulting Numbers: [4, 8]
Generated Node #3: [4, 8] from Operation: 23-15=8
Current State: 12:[4, 8], Operations: ['89-85=4', '23-15=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[85, 89, 23, 15], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [23, 15, 4]
Generated Node #0,0: 12:[23, 15, 4] Operation: 89-85=4
Exploring Operation: 85-23=62, Resulting Numbers: [89, 15, 62]
Generated Node #0,1: 12:[89, 15, 62] Operation: 85-23=62
Exploring Operation: 89-23=66, Resulting Numbers: [85, 15, 66]
Generated Node #0,2: 12:[85, 15, 66] Operation: 89-23=66
Exploring Operation: 85-15=70, Resulting Numbers: [89, 23, 70]
Generated Node #0,3: 12:[89, 23, 70] Operation: 85-15=70
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[23, 15, 4], Operations: ['89-85=4']
Exploring Operation: 23-4=19, Resulting Numbers: [15, 19]
Generated Node #0,0,0: 12:[15, 19] Operation: 23-4=19
Exploring Operation: 15-4=11, Resulting Numbers: [23, 11]
Generated Node #0,0,1: 12:[23, 11] Operation: 15-4=11
Exploring Operation: 23-15=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 12:[4, 8] Operation: 23-15=8
Exploring Operation: 23+4=27, Resulting Numbers: [15, 27]
Generated Node #0,0,3: 12:[15, 27] Operation: 23+4=27
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 12:[4, 8], Operations: ['89-85=4', '23-15=8']
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,12 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,12 unequal: No Solution
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[85, 89, 23, 15], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [23, 15, 4]
Generated Node #0,0: 12:[23, 15, 4] Operation: 89-85=4
Moving to Node #0,0
Current State: 12:[23, 15, 4], Operations: ['89-85=4']
Exploring Operation: 23-15=8, Resulting Numbers: [4, 8]
Generated Node #0,0,2: 12:[4, 8] Operation: 23-15=8
Moving to Node #0,0,2
Current State: 12:[4, 8], Operations: ['89-85=4', '23-15=8']
Exploring Operation: 4+8=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
31,
3,
54,
86
] | 93 | [
"31+86=117",
"117/3=39",
"54+39=93"
] | Current State: 93:[31, 3, 54, 86], Operations: []
Exploring Operation: 31+86=117, Resulting Numbers: [3, 54, 117]
Generated Node #2: [3, 54, 117] from Operation: 31+86=117
Current State: 93:[3, 54, 117], Operations: ['31+86=117']
Exploring Operation: 117/3=39, Resulting Numbers: [54, 39]
Generated Node #3: [54, 39] from Operation: 117/3=39
Current State: 93:[54, 39], Operations: ['31+86=117', '117/3=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[31, 3, 54, 86], Operations: []
Exploring Operation: 31+54=85, Resulting Numbers: [3, 86, 85]
Generated Node #0,0: 93:[3, 86, 85] Operation: 31+54=85
Exploring Operation: 54/3=18, Resulting Numbers: [31, 86, 18]
Generated Node #0,1: 93:[31, 86, 18] Operation: 54/3=18
Exploring Operation: 86-54=32, Resulting Numbers: [31, 3, 32]
Generated Node #0,2: 93:[31, 3, 32] Operation: 86-54=32
Exploring Operation: 54-31=23, Resulting Numbers: [3, 86, 23]
Generated Node #0,3: 93:[3, 86, 23] Operation: 54-31=23
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[31, 3, 32], Operations: ['86-54=32']
Exploring Operation: 3*32=96, Resulting Numbers: [31, 96]
Generated Node #0,2,0: 93:[31, 96] Operation: 3*32=96
Exploring Operation: 32-3=29, Resulting Numbers: [31, 29]
Generated Node #0,2,1: 93:[31, 29] Operation: 32-3=29
Exploring Operation: 32-31=1, Resulting Numbers: [3, 1]
Generated Node #0,2,2: 93:[3, 1] Operation: 32-31=1
Exploring Operation: 31*3=93, Resulting Numbers: [32, 93]
Generated Node #0,2,3: 93:[32, 93] Operation: 31*3=93
Moving to Node #0,2,3
Current State: 93:[32, 93], Operations: ['86-54=32', '31*3=93']
Exploring Operation: 32+93=125, Resulting Numbers: [125]
125,93 unequal: No Solution
Exploring Operation: 93-32=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Exploring Operation: 32*93=2976, Resulting Numbers: [2976]
2976,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[3, 1], Operations: ['86-54=32', '32-31=1']
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[31, 29], Operations: ['86-54=32', '32-3=29']
Exploring Operation: 31-29=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 31*29=899, Resulting Numbers: [899]
899,93 unequal: No Solution
Exploring Operation: 31+29=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[31, 96], Operations: ['86-54=32', '3*32=96']
Exploring Operation: 31*96=2976, Resulting Numbers: [2976]
2976,93 unequal: No Solution
Exploring Operation: 31+96=127, Resulting Numbers: [127]
127,93 unequal: No Solution
Exploring Operation: 96-31=65, Resulting Numbers: [65]
65,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 93:[3, 86, 85], Operations: ['31+54=85']
Exploring Operation: 3+86=89, Resulting Numbers: [85, 89]
Generated Node #0,0,0: 93:[85, 89] Operation: 3+86=89
Exploring Operation: 86-3=83, Resulting Numbers: [85, 83]
Generated Node #0,0,1: 93:[85, 83] Operation: 86-3=83
Exploring Operation: 3+85=88, Resulting Numbers: [86, 88]
Generated Node #0,0,2: 93:[86, 88] Operation: 3+85=88
Exploring Operation: 86-85=1, Resulting Numbers: [3, 1]
Generated Node #0,0,3: 93:[3, 1] Operation: 86-85=1
Moving to Node #0,0,3
Current State: 93:[3, 1], Operations: ['31+54=85', '86-85=1']
Exploring Operation: 3/1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3-1=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 3*1=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Exploring Operation: 3+1=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[86, 88], Operations: ['31+54=85', '3+85=88']
Exploring Operation: 88-86=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 86*88=7568, Resulting Numbers: [7568]
7568,93 unequal: No Solution
Exploring Operation: 86+88=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[85, 89], Operations: ['31+54=85', '3+86=89']
Exploring Operation: 85+89=174, Resulting Numbers: [174]
174,93 unequal: No Solution
Exploring Operation: 85*89=7565, Resulting Numbers: [7565]
7565,93 unequal: No Solution
Exploring Operation: 89-85=4, Resulting Numbers: [4]
4,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[85, 83], Operations: ['31+54=85', '86-3=83']
Exploring Operation: 85-83=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Exploring Operation: 85*83=7055, Resulting Numbers: [7055]
7055,93 unequal: No Solution
Exploring Operation: 85+83=168, Resulting Numbers: [168]
168,93 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 93:[3, 86, 23], Operations: ['54-31=23']
Exploring Operation: 86+23=109, Resulting Numbers: [3, 109]
Generated Node #0,3,0: 93:[3, 109] Operation: 86+23=109
Exploring Operation: 86-3=83, Resulting Numbers: [23, 83]
Generated Node #0,3,1: 93:[23, 83] Operation: 86-3=83
Exploring Operation: 3+86=89, Resulting Numbers: [23, 89]
Generated Node #0,3,2: 93:[23, 89] Operation: 3+86=89
Exploring Operation: 3+23=26, Resulting Numbers: [86, 26]
Generated Node #0,3,3: 93:[86, 26] Operation: 3+23=26
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 93:[23, 89], Operations: ['54-31=23', '3+86=89']
Exploring Operation: 23*89=2047, Resulting Numbers: [2047]
2047,93 unequal: No Solution
Exploring Operation: 89-23=66, Resulting Numbers: [66]
66,93 unequal: No Solution
Exploring Operation: 23+89=112, Resulting Numbers: [112]
112,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 93:[86, 26], Operations: ['54-31=23', '3+23=26']
Exploring Operation: 86+26=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 86*26=2236, Resulting Numbers: [2236]
2236,93 unequal: No Solution
Exploring Operation: 86-26=60, Resulting Numbers: [60]
60,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 93:[3, 109], Operations: ['54-31=23', '86+23=109']
Exploring Operation: 3+109=112, Resulting Numbers: [112]
112,93 unequal: No Solution
Exploring Operation: 3*109=327, Resulting Numbers: [327]
327,93 unequal: No Solution
Exploring Operation: 109-3=106, Resulting Numbers: [106]
106,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 93:[23, 83], Operations: ['54-31=23', '86-3=83']
Exploring Operation: 83-23=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Exploring Operation: 23*83=1909, Resulting Numbers: [1909]
1909,93 unequal: No Solution
Exploring Operation: 23+83=106, Resulting Numbers: [106]
106,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 93:[31, 86, 18], Operations: ['54/3=18']
Exploring Operation: 86-18=68, Resulting Numbers: [31, 68]
Generated Node #0,1,0: 93:[31, 68] Operation: 86-18=68
Exploring Operation: 31-18=13, Resulting Numbers: [86, 13]
Generated Node #0,1,1: 93:[86, 13] Operation: 31-18=13
Exploring Operation: 31+18=49, Resulting Numbers: [86, 49]
Generated Node #0,1,2: 93:[86, 49] Operation: 31+18=49
Exploring Operation: 86+18=104, Resulting Numbers: [31, 104]
Generated Node #0,1,3: 93:[31, 104] Operation: 86+18=104
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 93:[31, 104], Operations: ['54/3=18', '86+18=104']
Exploring Operation: 31*104=3224, Resulting Numbers: [3224]
3224,93 unequal: No Solution
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Exploring Operation: 31+104=135, Resulting Numbers: [135]
135,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 93:[86, 13], Operations: ['54/3=18', '31-18=13']
Exploring Operation: 86+13=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 86*13=1118, Resulting Numbers: [1118]
1118,93 unequal: No Solution
Exploring Operation: 86-13=73, Resulting Numbers: [73]
73,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 93:[31, 68], Operations: ['54/3=18', '86-18=68']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,93 unequal: No Solution
Exploring Operation: 31+68=99, Resulting Numbers: [99]
99,93 unequal: No Solution
Exploring Operation: 31*68=2108, Resulting Numbers: [2108]
2108,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 93:[86, 49], Operations: ['54/3=18', '31+18=49']
Exploring Operation: 86*49=4214, Resulting Numbers: [4214]
4214,93 unequal: No Solution
Exploring Operation: 86-49=37, Resulting Numbers: [37]
37,93 unequal: No Solution
Exploring Operation: 86+49=135, Resulting Numbers: [135]
135,93 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | sum_heuristic |
[
72,
17,
3,
72
] | 15 | [
"72/72=1",
"17-3=14",
"1+14=15"
] | Current State: 15:[72, 17, 3, 72], Operations: []
Exploring Operation: 72/72=1, Resulting Numbers: [17, 3, 1]
Generated Node #2: [17, 3, 1] from Operation: 72/72=1
Current State: 15:[17, 3, 1], Operations: ['72/72=1']
Exploring Operation: 17-3=14, Resulting Numbers: [1, 14]
Generated Node #3: [1, 14] from Operation: 17-3=14
Current State: 15:[1, 14], Operations: ['72/72=1', '17-3=14']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[72, 17, 3, 72], Operations: []
Exploring Operation: 72-72=0, Resulting Numbers: [17, 3, 0]
Generated Node #0,0: 15:[17, 3, 0] Operation: 72-72=0
Exploring Operation: 72/3=24, Resulting Numbers: [72, 17, 24]
Generated Node #0,1: 15:[72, 17, 24] Operation: 72/3=24
Exploring Operation: 72-17=55, Resulting Numbers: [3, 72, 55]
Generated Node #0,2: 15:[3, 72, 55] Operation: 72-17=55
Exploring Operation: 72/3=24, Resulting Numbers: [17, 72, 24]
Generated Node #0,3: 15:[17, 72, 24] Operation: 72/3=24
Exploring Operation: 72/72=1, Resulting Numbers: [17, 3, 1]
Generated Node #0,4: 15:[17, 3, 1] Operation: 72/72=1
Moving to Node #0,4
Current State: 15:[17, 3, 1], Operations: ['72/72=1']
Exploring Operation: 17-1=16, Resulting Numbers: [3, 16]
Generated Node #0,4,0: 15:[3, 16] Operation: 17-1=16
Exploring Operation: 3/1=3, Resulting Numbers: [17, 3]
Generated Node #0,4,1: 15:[17, 3] Operation: 3/1=3
Exploring Operation: 17*1=17, Resulting Numbers: [3, 17]
Generated Node #0,4,2: 15:[3, 17] Operation: 17*1=17
Exploring Operation: 17/1=17, Resulting Numbers: [3, 17]
Generated Node #0,4,3: 15:[3, 17] Operation: 17/1=17
Exploring Operation: 3*1=3, Resulting Numbers: [17, 3]
Generated Node #0,4,4: 15:[17, 3] Operation: 3*1=3
Moving to Node #0,0
Current State: 15:[17, 3, 0], Operations: ['72-72=0']
Exploring Operation: 17-0=17, Resulting Numbers: [3, 17]
Generated Node #0,0,0: 15:[3, 17] Operation: 17-0=17
Exploring Operation: 3-0=3, Resulting Numbers: [17, 3]
Generated Node #0,0,1: 15:[17, 3] Operation: 3-0=3
Exploring Operation: 17*0=0, Resulting Numbers: [3, 0]
Generated Node #0,0,2: 15:[3, 0] Operation: 17*0=0
Exploring Operation: 3+0=3, Resulting Numbers: [17, 3]
Generated Node #0,0,3: 15:[17, 3] Operation: 3+0=3
Exploring Operation: 17+0=17, Resulting Numbers: [3, 17]
Generated Node #0,0,4: 15:[3, 17] Operation: 17+0=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 15:[3, 17], Operations: ['72-72=0', '17-0=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 15:[17, 3], Operations: ['72-72=0', '3-0=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 15:[17, 3], Operations: ['72-72=0', '3+0=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 15:[3, 17], Operations: ['72-72=0', '17+0=17']
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 15:[3, 0], Operations: ['72-72=0', '17*0=0']
Exploring Operation: 3*0=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Exploring Operation: 3-0=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Exploring Operation: 3+0=3, Resulting Numbers: [3]
3,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 15:[72, 17, 24], Operations: ['72/3=24']
Exploring Operation: 72+17=89, Resulting Numbers: [24, 89]
Generated Node #0,1,0: 15:[24, 89] Operation: 72+17=89
Exploring Operation: 72/24=3, Resulting Numbers: [17, 3]
Generated Node #0,1,1: 15:[17, 3] Operation: 72/24=3
Exploring Operation: 24-17=7, Resulting Numbers: [72, 7]
Generated Node #0,1,2: 15:[72, 7] Operation: 24-17=7
Exploring Operation: 72-24=48, Resulting Numbers: [17, 48]
Generated Node #0,1,3: 15:[17, 48] Operation: 72-24=48
Exploring Operation: 72-17=55, Resulting Numbers: [24, 55]
Generated Node #0,1,4: 15:[24, 55] Operation: 72-17=55
Moving to Node #0,3
Current State: 15:[17, 72, 24], Operations: ['72/3=24']
Exploring Operation: 72-24=48, Resulting Numbers: [17, 48]
Generated Node #0,3,0: 15:[17, 48] Operation: 72-24=48
Exploring Operation: 72-17=55, Resulting Numbers: [24, 55]
Generated Node #0,3,1: 15:[24, 55] Operation: 72-17=55
Exploring Operation: 24-17=7, Resulting Numbers: [72, 7]
Generated Node #0,3,2: 15:[72, 7] Operation: 24-17=7
Exploring Operation: 17+72=89, Resulting Numbers: [24, 89]
Generated Node #0,3,3: 15:[24, 89] Operation: 17+72=89
Exploring Operation: 72/24=3, Resulting Numbers: [17, 3]
Generated Node #0,3,4: 15:[17, 3] Operation: 72/24=3
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 15:[17, 3], Operations: ['72/3=24', '72/24=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 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 #0,3,0
Current State: 15:[17, 48], Operations: ['72/3=24', '72-24=48']
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,15 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 #0,3,1
Current State: 15:[24, 55], Operations: ['72/3=24', '72-17=55']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,15 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 #0,3,2
Current State: 15:[72, 7], Operations: ['72/3=24', '24-17=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,15 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 #0,3,3
Current State: 15:[24, 89], Operations: ['72/3=24', '17+72=89']
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,15 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 15:[3, 72, 55], Operations: ['72-17=55']
Exploring Operation: 72-3=69, Resulting Numbers: [55, 69]
Generated Node #0,2,0: 15:[55, 69] Operation: 72-3=69
Exploring Operation: 72-55=17, Resulting Numbers: [3, 17]
Generated Node #0,2,1: 15:[3, 17] Operation: 72-55=17
Exploring Operation: 55-3=52, Resulting Numbers: [72, 52]
Generated Node #0,2,2: 15:[72, 52] Operation: 55-3=52
Exploring Operation: 3+72=75, Resulting Numbers: [55, 75]
Generated Node #0,2,3: 15:[55, 75] Operation: 3+72=75
Exploring Operation: 72/3=24, Resulting Numbers: [55, 24]
Generated Node #0,2,4: 15:[55, 24] Operation: 72/3=24
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[3, 17], Operations: ['72-17=55', '72-55=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 15:[55, 24], Operations: ['72-17=55', '72/3=24']
Exploring Operation: 55+24=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 55*24=1320, Resulting Numbers: [1320]
1320,15 unequal: No Solution
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 15:[55, 69], Operations: ['72-17=55', '72-3=69']
Exploring Operation: 55+69=124, Resulting Numbers: [124]
124,15 unequal: No Solution
Exploring Operation: 69-55=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 55*69=3795, Resulting Numbers: [3795]
3795,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 15:[72, 52], Operations: ['72-17=55', '55-3=52']
Exploring Operation: 72*52=3744, Resulting Numbers: [3744]
3744,15 unequal: No Solution
Exploring Operation: 72+52=124, Resulting Numbers: [124]
124,15 unequal: No Solution
Exploring Operation: 72-52=20, Resulting Numbers: [20]
20,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 15:[55, 75], Operations: ['72-17=55', '3+72=75']
Exploring Operation: 55*75=4125, Resulting Numbers: [4125]
4125,15 unequal: No Solution
Exploring Operation: 75-55=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 55+75=130, Resulting Numbers: [130]
130,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,4,0
Current State: 15:[3, 16], Operations: ['72/72=1', '17-1=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,15 unequal: No Solution
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 16-3=13, Resulting Numbers: [13]
13,15 unequal: No Solution
Moving to Node #0,4,2
Current State: 15:[3, 17], Operations: ['72/72=1', '17*1=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Moving to Node #0,1,1
Current State: 15:[17, 3], Operations: ['72/3=24', '72/24=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,4,1
Current State: 15:[17, 3], Operations: ['72/72=1', '3/1=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,4,4
Current State: 15:[17, 3], Operations: ['72/72=1', '3*1=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,4,3
Current State: 15:[3, 17], Operations: ['72/72=1', '17/1=17']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,1,3
Current State: 15:[17, 48], Operations: ['72/3=24', '72-24=48']
Exploring Operation: 17*48=816, Resulting Numbers: [816]
816,15 unequal: No Solution
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 17+48=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Moving to Node #0,1,4
Current State: 15:[24, 55], Operations: ['72/3=24', '72-17=55']
Exploring Operation: 55-24=31, Resulting Numbers: [31]
31,15 unequal: No Solution
Exploring Operation: 24*55=1320, Resulting Numbers: [1320]
1320,15 unequal: No Solution
Exploring Operation: 24+55=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Moving to Node #0,1,2
Current State: 15:[72, 7], Operations: ['72/3=24', '24-17=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,15 unequal: No Solution
Exploring Operation: 72*7=504, Resulting Numbers: [504]
504,15 unequal: No Solution
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Moving to Node #0,1,0
Current State: 15:[24, 89], Operations: ['72/3=24', '72+17=89']
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,15 unequal: No Solution
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,15 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,15 unequal: No Solution
No solution found.
| 0 | hs_5 | mult_heuristic |
[
73,
59,
47,
53
] | 71 | [
"59+47=106",
"106/53=2",
"73-2=71"
] | Current State: 71:[73, 59, 47, 53], Operations: []
Exploring Operation: 59+47=106, Resulting Numbers: [73, 53, 106]
Generated Node #2: [73, 53, 106] from Operation: 59+47=106
Current State: 71:[73, 53, 106], Operations: ['59+47=106']
Exploring Operation: 106/53=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 106/53=2
Current State: 71:[73, 2], Operations: ['59+47=106', '106/53=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[73, 59, 47, 53], Operations: []
Exploring Operation: 59+47=106, Resulting Numbers: [73, 53, 106]
Generated Node #0,0: 71:[73, 53, 106] Operation: 59+47=106
Exploring Operation: 47+53=100, Resulting Numbers: [73, 59, 100]
Generated Node #0,1: 71:[73, 59, 100] Operation: 47+53=100
Moving to Node #0,1
Current State: 71:[73, 59, 100], Operations: ['47+53=100']
Exploring Operation: 100-59=41, Resulting Numbers: [73, 41]
Generated Node #0,1,0: 71:[73, 41] Operation: 100-59=41
Exploring Operation: 100-73=27, Resulting Numbers: [59, 27]
Generated Node #0,1,1: 71:[59, 27] Operation: 100-73=27
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 71:[73, 41], Operations: ['47+53=100', '100-59=41']
Exploring Operation: 73-41=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Exploring Operation: 73+41=114, Resulting Numbers: [114]
114,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 71:[59, 27], Operations: ['47+53=100', '100-73=27']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,71 unequal: No Solution
Exploring Operation: 59+27=86, Resulting Numbers: [86]
86,71 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: 71:[73, 53, 106], Operations: ['59+47=106']
Exploring Operation: 106-73=33, Resulting Numbers: [53, 33]
Generated Node #0,0,0: 71:[53, 33] Operation: 106-73=33
Exploring Operation: 106-53=53, Resulting Numbers: [73, 53]
Generated Node #0,0,1: 71:[73, 53] Operation: 106-53=53
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 71:[73, 53], Operations: ['59+47=106', '106-53=53']
Exploring Operation: 73+53=126, Resulting Numbers: [126]
126,71 unequal: No Solution
Exploring Operation: 73-53=20, Resulting Numbers: [20]
20,71 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 71:[53, 33], Operations: ['59+47=106', '106-73=33']
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,71 unequal: No Solution
Exploring Operation: 53-33=20, Resulting Numbers: [20]
20,71 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 |
[
45,
55,
53,
77
] | 30 | [
"45+55=100",
"53+77=130",
"130-100=30"
] | Current State: 30:[45, 55, 53, 77], Operations: []
Exploring Operation: 45+55=100, Resulting Numbers: [53, 77, 100]
Generated Node #2: [53, 77, 100] from Operation: 45+55=100
Current State: 30:[53, 77, 100], Operations: ['45+55=100']
Exploring Operation: 53+77=130, Resulting Numbers: [100, 130]
Generated Node #3: [100, 130] from Operation: 53+77=130
Current State: 30:[100, 130], Operations: ['45+55=100', '53+77=130']
Exploring Operation: 130-100=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[45, 55, 53, 77], Operations: []
Exploring Operation: 77-53=24, Resulting Numbers: [45, 55, 24]
Generated Node #0,0: 30:[45, 55, 24] Operation: 77-53=24
Exploring Operation: 77-55=22, Resulting Numbers: [45, 53, 22]
Generated Node #0,1: 30:[45, 53, 22] Operation: 77-55=22
Exploring Operation: 77-45=32, Resulting Numbers: [55, 53, 32]
Generated Node #0,2: 30:[55, 53, 32] Operation: 77-45=32
Exploring Operation: 55-53=2, Resulting Numbers: [45, 77, 2]
Generated Node #0,3: 30:[45, 77, 2] Operation: 55-53=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 30:[45, 53, 22], Operations: ['77-55=22']
Exploring Operation: 53-22=31, Resulting Numbers: [45, 31]
Generated Node #0,1,0: 30:[45, 31] Operation: 53-22=31
Exploring Operation: 53-45=8, Resulting Numbers: [22, 8]
Generated Node #0,1,1: 30:[22, 8] Operation: 53-45=8
Exploring Operation: 45-22=23, Resulting Numbers: [53, 23]
Generated Node #0,1,2: 30:[53, 23] Operation: 45-22=23
Exploring Operation: 45+22=67, Resulting Numbers: [53, 67]
Generated Node #0,1,3: 30:[53, 67] Operation: 45+22=67
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 30:[22, 8], Operations: ['77-55=22', '53-45=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[45, 55, 53, 77], Operations: []
Exploring Operation: 77-55=22, Resulting Numbers: [45, 53, 22]
Generated Node #0,1: 30:[45, 53, 22] Operation: 77-55=22
Moving to Node #0,1
Current State: 30:[45, 53, 22], Operations: ['77-55=22']
Exploring Operation: 53-45=8, Resulting Numbers: [22, 8]
Generated Node #0,1,1: 30:[22, 8] Operation: 53-45=8
Moving to Node #0,1,1
Current State: 30:[22, 8], Operations: ['77-55=22', '53-45=8']
Exploring Operation: 22+8=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | mult_heuristic |
[
46,
5,
6,
51
] | 52 | [
"6*51=306",
"306-46=260",
"260/5=52"
] | Current State: 52:[46, 5, 6, 51], Operations: []
Exploring Operation: 6*51=306, Resulting Numbers: [46, 5, 306]
Generated Node #2: [46, 5, 306] from Operation: 6*51=306
Current State: 52:[46, 5, 306], Operations: ['6*51=306']
Exploring Operation: 306-46=260, Resulting Numbers: [5, 260]
Generated Node #3: [5, 260] from Operation: 306-46=260
Current State: 52:[5, 260], Operations: ['6*51=306', '306-46=260']
Exploring Operation: 260/5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 | Current State: 52:[46, 5, 6, 51], Operations: []
Exploring Operation: 46+5=51, Resulting Numbers: [6, 51, 51]
Generated Node #0,0: 52:[6, 51, 51] Operation: 46+5=51
Exploring Operation: 46+6=52, Resulting Numbers: [5, 51, 52]
Generated Node #0,1: 52:[5, 51, 52] Operation: 46+6=52
Exploring Operation: 51-46=5, Resulting Numbers: [5, 6, 5]
Generated Node #0,2: 52:[5, 6, 5] Operation: 51-46=5
Start Sub Search at level 1: Moving to Node #0,1
Current State: 52:[5, 51, 52], Operations: ['46+6=52']
Exploring Operation: 52-51=1, Resulting Numbers: [5, 1]
Generated Node #0,1,0: 52:[5, 1] Operation: 52-51=1
Exploring Operation: 51-5=46, Resulting Numbers: [52, 46]
Generated Node #0,1,1: 52:[52, 46] Operation: 51-5=46
Exploring Operation: 5+51=56, Resulting Numbers: [52, 56]
Generated Node #0,1,2: 52:[52, 56] Operation: 5+51=56
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 52:[5, 1], Operations: ['46+6=52', '52-51=1']
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 52:[52, 56], Operations: ['46+6=52', '5+51=56']
Exploring Operation: 56-52=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 52*56=2912, Resulting Numbers: [2912]
2912,52 unequal: No Solution
Exploring Operation: 52+56=108, Resulting Numbers: [108]
108,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 52:[52, 46], Operations: ['46+6=52', '51-5=46']
Exploring Operation: 52*46=2392, Resulting Numbers: [2392]
2392,52 unequal: No Solution
Exploring Operation: 52+46=98, Resulting Numbers: [98]
98,52 unequal: No Solution
Exploring Operation: 52-46=6, Resulting Numbers: [6]
6,52 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 52:[6, 51, 51], Operations: ['46+5=51']
Exploring Operation: 51/51=1, Resulting Numbers: [6, 1]
Generated Node #0,0,0: 52:[6, 1] Operation: 51/51=1
Exploring Operation: 6+51=57, Resulting Numbers: [51, 57]
Generated Node #0,0,1: 52:[51, 57] Operation: 6+51=57
Exploring Operation: 51-51=0, Resulting Numbers: [6, 0]
Generated Node #0,0,2: 52:[6, 0] Operation: 51-51=0
Moving to Node #0,0,0
Current State: 52:[6, 1], Operations: ['46+5=51', '51/51=1']
Exploring Operation: 6*1=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[6, 0], Operations: ['46+5=51', '51-51=0']
Exploring Operation: 6+0=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 6-0=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 6*0=0, Resulting Numbers: [0]
0,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[51, 57], Operations: ['46+5=51', '6+51=57']
Exploring Operation: 57-51=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 51+57=108, Resulting Numbers: [108]
108,52 unequal: No Solution
Exploring Operation: 51*57=2907, Resulting Numbers: [2907]
2907,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 52:[5, 6, 5], Operations: ['51-46=5']
Exploring Operation: 6-5=1, Resulting Numbers: [5, 1]
Generated Node #0,2,0: 52:[5, 1] Operation: 6-5=1
Exploring Operation: 6-5=1, Resulting Numbers: [5, 1]
Generated Node #0,2,1: 52:[5, 1] Operation: 6-5=1
Exploring Operation: 5+6=11, Resulting Numbers: [5, 11]
Generated Node #0,2,2: 52:[5, 11] Operation: 5+6=11
Moving to Node #0,2,0
Current State: 52:[5, 1], Operations: ['51-46=5', '6-5=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[5, 1], Operations: ['51-46=5', '6-5=1']
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,52 unequal: No Solution
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,52 unequal: No Solution
Moving to Node #0,2,2
Current State: 52:[5, 11], Operations: ['51-46=5', '5+6=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,52 unequal: No Solution
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,52 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
47,
83,
80,
40
] | 34 | [
"83-47=36",
"80/40=2",
"36-2=34"
] | Current State: 34:[47, 83, 80, 40], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [80, 40, 36]
Generated Node #2: [80, 40, 36] from Operation: 83-47=36
Current State: 34:[80, 40, 36], Operations: ['83-47=36']
Exploring Operation: 80/40=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 80/40=2
Current State: 34:[36, 2], Operations: ['83-47=36', '80/40=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 | Current State: 34:[47, 83, 80, 40], Operations: []
Exploring Operation: 83-80=3, Resulting Numbers: [47, 40, 3]
Generated Node #0,0: 34:[47, 40, 3] Operation: 83-80=3
Exploring Operation: 83-47=36, Resulting Numbers: [80, 40, 36]
Generated Node #0,1: 34:[80, 40, 36] Operation: 83-47=36
Moving to Node #0,0
Current State: 34:[47, 40, 3], Operations: ['83-80=3']
Exploring Operation: 47-40=7, Resulting Numbers: [3, 7]
Generated Node #0,0,0: 34:[3, 7] Operation: 47-40=7
Exploring Operation: 47-3=44, Resulting Numbers: [40, 44]
Generated Node #0,0,1: 34:[40, 44] Operation: 47-3=44
Moving to Node #0,1
Current State: 34:[80, 40, 36], Operations: ['83-47=36']
Exploring Operation: 80/40=2, Resulting Numbers: [36, 2]
Generated Node #0,1,0: 34:[36, 2] Operation: 80/40=2
Exploring Operation: 80-40=40, Resulting Numbers: [36, 40]
Generated Node #0,1,1: 34:[36, 40] Operation: 80-40=40
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 34:[36, 2], Operations: ['83-47=36', '80/40=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[47, 83, 80, 40], Operations: []
Exploring Operation: 83-47=36, Resulting Numbers: [80, 40, 36]
Generated Node #0,1: 34:[80, 40, 36] Operation: 83-47=36
Moving to Node #0,1
Current State: 34:[80, 40, 36], Operations: ['83-47=36']
Exploring Operation: 80/40=2, Resulting Numbers: [36, 2]
Generated Node #0,1,0: 34:[36, 2] Operation: 80/40=2
Moving to Node #0,1,0
Current State: 34:[36, 2], Operations: ['83-47=36', '80/40=2']
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
43,
60,
84,
46
] | 12 | [
"84-43=41",
"46-41=5",
"60/5=12"
] | Current State: 12:[43, 60, 84, 46], Operations: []
Exploring Operation: 84-43=41, Resulting Numbers: [60, 46, 41]
Generated Node #2: [60, 46, 41] from Operation: 84-43=41
Current State: 12:[60, 46, 41], Operations: ['84-43=41']
Exploring Operation: 46-41=5, Resulting Numbers: [60, 5]
Generated Node #3: [60, 5] from Operation: 46-41=5
Current State: 12:[60, 5], Operations: ['84-43=41', '46-41=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[43, 60, 84, 46], Operations: []
Exploring Operation: 60-43=17, Resulting Numbers: [84, 46, 17]
Generated Node #0,0: 12:[84, 46, 17] Operation: 60-43=17
Exploring Operation: 84-43=41, Resulting Numbers: [60, 46, 41]
Generated Node #0,1: 12:[60, 46, 41] Operation: 84-43=41
Exploring Operation: 84-60=24, Resulting Numbers: [43, 46, 24]
Generated Node #0,2: 12:[43, 46, 24] Operation: 84-60=24
Exploring Operation: 84-46=38, Resulting Numbers: [43, 60, 38]
Generated Node #0,3: 12:[43, 60, 38] Operation: 84-46=38
Exploring Operation: 60-46=14, Resulting Numbers: [43, 84, 14]
Generated Node #0,4: 12:[43, 84, 14] Operation: 60-46=14
Start Sub Search at level 1: Moving to Node #0,2
Current State: 12:[43, 46, 24], Operations: ['84-60=24']
Exploring Operation: 43+24=67, Resulting Numbers: [46, 67]
Generated Node #0,2,0: 12:[46, 67] Operation: 43+24=67
Exploring Operation: 43+46=89, Resulting Numbers: [24, 89]
Generated Node #0,2,1: 12:[24, 89] Operation: 43+46=89
Exploring Operation: 46-24=22, Resulting Numbers: [43, 22]
Generated Node #0,2,2: 12:[43, 22] Operation: 46-24=22
Exploring Operation: 43-24=19, Resulting Numbers: [46, 19]
Generated Node #0,2,3: 12:[46, 19] Operation: 43-24=19
Exploring Operation: 46-43=3, Resulting Numbers: [24, 3]
Generated Node #0,2,4: 12:[24, 3] Operation: 46-43=3
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 12:[24, 3], Operations: ['84-60=24', '46-43=3']
Exploring Operation: 24*3=72, Resulting Numbers: [72]
72,12 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,12 unequal: No Solution
No 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: 12:[43, 22], Operations: ['84-60=24', '46-24=22']
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,12 unequal: No Solution
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,12 unequal: No Solution
No 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: 12:[46, 19], Operations: ['84-60=24', '43-24=19']
Exploring Operation: 46*19=874, Resulting Numbers: [874]
874,12 unequal: No Solution
Exploring Operation: 46-19=27, Resulting Numbers: [27]
27,12 unequal: No Solution
Exploring Operation: 46+19=65, Resulting Numbers: [65]
65,12 unequal: No Solution
No 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: 12:[46, 67], Operations: ['84-60=24', '43+24=67']
Exploring Operation: 67-46=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 46*67=3082, Resulting Numbers: [3082]
3082,12 unequal: No Solution
Exploring Operation: 46+67=113, Resulting Numbers: [113]
113,12 unequal: No Solution
No 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: 12:[24, 89], Operations: ['84-60=24', '43+46=89']
Exploring Operation: 24+89=113, Resulting Numbers: [113]
113,12 unequal: No Solution
Exploring Operation: 89-24=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 24*89=2136, Resulting Numbers: [2136]
2136,12 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: 12:[43, 60, 38], Operations: ['84-46=38']
Exploring Operation: 60-38=22, Resulting Numbers: [43, 22]
Generated Node #0,3,0: 12:[43, 22] Operation: 60-38=22
Exploring Operation: 43-38=5, Resulting Numbers: [60, 5]
Generated Node #0,3,1: 12:[60, 5] Operation: 43-38=5
Exploring Operation: 43+38=81, Resulting Numbers: [60, 81]
Generated Node #0,3,2: 12:[60, 81] Operation: 43+38=81
Exploring Operation: 43+60=103, Resulting Numbers: [38, 103]
Generated Node #0,3,3: 12:[38, 103] Operation: 43+60=103
Exploring Operation: 60-43=17, Resulting Numbers: [38, 17]
Generated Node #0,3,4: 12:[38, 17] Operation: 60-43=17
Moving to Node #0,3,4
Current State: 12:[38, 17], Operations: ['84-46=38', '60-43=17']
Exploring Operation: 38-17=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 38*17=646, Resulting Numbers: [646]
646,12 unequal: No Solution
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Moving to Node #0,3,0
Current State: 12:[43, 22], Operations: ['84-46=38', '60-38=22']
Exploring Operation: 43-22=21, Resulting Numbers: [21]
21,12 unequal: No Solution
Exploring Operation: 43+22=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 43*22=946, Resulting Numbers: [946]
946,12 unequal: No Solution
Moving to Node #0,3,1
Current State: 12:[60, 5], Operations: ['84-46=38', '43-38=5']
Exploring Operation: 60+5=65, Resulting Numbers: [65]
65,12 unequal: No Solution
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,12 unequal: No Solution
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[43, 60, 84, 46], Operations: []
Exploring Operation: 84-46=38, Resulting Numbers: [43, 60, 38]
Generated Node #0,3: 12:[43, 60, 38] Operation: 84-46=38
Moving to Node #0,3
Current State: 12:[43, 60, 38], Operations: ['84-46=38']
Exploring Operation: 43-38=5, Resulting Numbers: [60, 5]
Generated Node #0,3,1: 12:[60, 5] Operation: 43-38=5
Moving to Node #0,3,1
Current State: 12:[60, 5], Operations: ['84-46=38', '43-38=5']
Exploring Operation: 60/5=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 1
| 0.961806 | hs_5 | mult_heuristic |
[
81,
1,
3,
21
] | 56 | [
"81-1=80",
"3+21=24",
"80-24=56"
] | Current State: 56:[81, 1, 3, 21], Operations: []
Exploring Operation: 81-1=80, Resulting Numbers: [3, 21, 80]
Generated Node #2: [3, 21, 80] from Operation: 81-1=80
Current State: 56:[3, 21, 80], Operations: ['81-1=80']
Exploring Operation: 3+21=24, Resulting Numbers: [80, 24]
Generated Node #3: [80, 24] from Operation: 3+21=24
Current State: 56:[80, 24], Operations: ['81-1=80', '3+21=24']
Exploring Operation: 80-24=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 | Current State: 56:[81, 1, 3, 21], Operations: []
Exploring Operation: 3+21=24, Resulting Numbers: [81, 1, 24]
Generated Node #0,0: 56:[81, 1, 24] Operation: 3+21=24
Exploring Operation: 21/3=7, Resulting Numbers: [81, 1, 7]
Generated Node #0,1: 56:[81, 1, 7] Operation: 21/3=7
Exploring Operation: 81-21=60, Resulting Numbers: [1, 3, 60]
Generated Node #0,2: 56:[1, 3, 60] Operation: 81-21=60
Exploring Operation: 81-3=78, Resulting Numbers: [1, 21, 78]
Generated Node #0,3: 56:[1, 21, 78] Operation: 81-3=78
Exploring Operation: 81/3=27, Resulting Numbers: [1, 21, 27]
Generated Node #0,4: 56:[1, 21, 27] Operation: 81/3=27
Start Sub Search at level 1: Moving to Node #0,2
Current State: 56:[1, 3, 60], Operations: ['81-21=60']
Exploring Operation: 60-3=57, Resulting Numbers: [1, 57]
Generated Node #0,2,0: 56:[1, 57] Operation: 60-3=57
Exploring Operation: 1*3=3, Resulting Numbers: [60, 3]
Generated Node #0,2,1: 56:[60, 3] Operation: 1*3=3
Exploring Operation: 3-1=2, Resulting Numbers: [60, 2]
Generated Node #0,2,2: 56:[60, 2] Operation: 3-1=2
Exploring Operation: 1+3=4, Resulting Numbers: [60, 4]
Generated Node #0,2,3: 56:[60, 4] Operation: 1+3=4
Exploring Operation: 60-1=59, Resulting Numbers: [3, 59]
Generated Node #0,2,4: 56:[3, 59] Operation: 60-1=59
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 56:[1, 57], Operations: ['81-21=60', '60-3=57']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,56 unequal: No Solution
Exploring Operation: 1*57=57, Resulting Numbers: [57]
57,56 unequal: No Solution
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[81, 1, 3, 21], Operations: []
Exploring Operation: 81-21=60, Resulting Numbers: [1, 3, 60]
Generated Node #0,2: 56:[1, 3, 60] Operation: 81-21=60
Moving to Node #0,2
Current State: 56:[1, 3, 60], Operations: ['81-21=60']
Exploring Operation: 60-3=57, Resulting Numbers: [1, 57]
Generated Node #0,2,0: 56:[1, 57] Operation: 60-3=57
Moving to Node #0,2,0
Current State: 56:[1, 57], Operations: ['81-21=60', '60-3=57']
Exploring Operation: 57-1=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
78,
21,
12,
76
] | 18 | [
"78-76=2",
"21-12=9",
"2*9=18"
] | Current State: 18:[78, 21, 12, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [21, 12, 2]
Generated Node #2: [21, 12, 2] from Operation: 78-76=2
Current State: 18:[21, 12, 2], Operations: ['78-76=2']
Exploring Operation: 21-12=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 21-12=9
Current State: 18:[2, 9], Operations: ['78-76=2', '21-12=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 | Current State: 18:[78, 21, 12, 76], Operations: []
Exploring Operation: 78-12=66, Resulting Numbers: [21, 76, 66]
Generated Node #0,0: 18:[21, 76, 66] Operation: 78-12=66
Exploring Operation: 78-21=57, Resulting Numbers: [12, 76, 57]
Generated Node #0,1: 18:[12, 76, 57] Operation: 78-21=57
Exploring Operation: 76-21=55, Resulting Numbers: [78, 12, 55]
Generated Node #0,2: 18:[78, 12, 55] Operation: 76-21=55
Exploring Operation: 78-76=2, Resulting Numbers: [21, 12, 2]
Generated Node #0,3: 18:[21, 12, 2] Operation: 78-76=2
Moving to Node #0,3
Current State: 18:[21, 12, 2], Operations: ['78-76=2']
Exploring Operation: 21-12=9, Resulting Numbers: [2, 9]
Generated Node #0,3,0: 18:[2, 9] Operation: 21-12=9
Exploring Operation: 12-2=10, Resulting Numbers: [21, 10]
Generated Node #0,3,1: 18:[21, 10] Operation: 12-2=10
Exploring Operation: 12/2=6, Resulting Numbers: [21, 6]
Generated Node #0,3,2: 18:[21, 6] Operation: 12/2=6
Exploring Operation: 21-2=19, Resulting Numbers: [12, 19]
Generated Node #0,3,3: 18:[12, 19] Operation: 21-2=19
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 18:[2, 9], Operations: ['78-76=2', '21-12=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Moving to Node #0
Current State: 18:[78, 21, 12, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [21, 12, 2]
Generated Node #0,3: 18:[21, 12, 2] Operation: 78-76=2
Moving to Node #0,3
Current State: 18:[21, 12, 2], Operations: ['78-76=2']
Exploring Operation: 21-12=9, Resulting Numbers: [2, 9]
Generated Node #0,3,0: 18:[2, 9] Operation: 21-12=9
Moving to Node #0,3,0
Current State: 18:[2, 9], Operations: ['78-76=2', '21-12=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
39,
67,
19,
89
] | 36 | [
"39+67=106",
"89-19=70",
"106-70=36"
] | Current State: 36:[39, 67, 19, 89], Operations: []
Exploring Operation: 39+67=106, Resulting Numbers: [19, 89, 106]
Generated Node #2: [19, 89, 106] from Operation: 39+67=106
Current State: 36:[19, 89, 106], Operations: ['39+67=106']
Exploring Operation: 89-19=70, Resulting Numbers: [106, 70]
Generated Node #3: [106, 70] from Operation: 89-19=70
Current State: 36:[106, 70], Operations: ['39+67=106', '89-19=70']
Exploring Operation: 106-70=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 | Current State: 36:[39, 67, 19, 89], Operations: []
Exploring Operation: 67-19=48, Resulting Numbers: [39, 89, 48]
Generated Node #0,0: 36:[39, 89, 48] Operation: 67-19=48
Exploring Operation: 89-19=70, Resulting Numbers: [39, 67, 70]
Generated Node #0,1: 36:[39, 67, 70] Operation: 89-19=70
Exploring Operation: 89-67=22, Resulting Numbers: [39, 19, 22]
Generated Node #0,2: 36:[39, 19, 22] Operation: 89-67=22
Exploring Operation: 67-39=28, Resulting Numbers: [19, 89, 28]
Generated Node #0,3: 36:[19, 89, 28] Operation: 67-39=28
Exploring Operation: 89-39=50, Resulting Numbers: [67, 19, 50]
Generated Node #0,4: 36:[67, 19, 50] Operation: 89-39=50
Start Sub Search at level 1: Moving to Node #0,2
Current State: 36:[39, 19, 22], Operations: ['89-67=22']
Exploring Operation: 39+19=58, Resulting Numbers: [22, 58]
Generated Node #0,2,0: 36:[22, 58] Operation: 39+19=58
Exploring Operation: 22-19=3, Resulting Numbers: [39, 3]
Generated Node #0,2,1: 36:[39, 3] Operation: 22-19=3
Exploring Operation: 39-19=20, Resulting Numbers: [22, 20]
Generated Node #0,2,2: 36:[22, 20] Operation: 39-19=20
Exploring Operation: 39-22=17, Resulting Numbers: [19, 17]
Generated Node #0,2,3: 36:[19, 17] Operation: 39-22=17
Exploring Operation: 19+22=41, Resulting Numbers: [39, 41]
Generated Node #0,2,4: 36:[39, 41] Operation: 19+22=41
Moving to Node #0,2,3
Current State: 36:[19, 17], Operations: ['89-67=22', '39-22=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Moving to Node #0
Current State: 36:[39, 67, 19, 89], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [39, 19, 22]
Generated Node #0,2: 36:[39, 19, 22] Operation: 89-67=22
Moving to Node #0,2
Current State: 36:[39, 19, 22], Operations: ['89-67=22']
Exploring Operation: 39-22=17, Resulting Numbers: [19, 17]
Generated Node #0,2,3: 36:[19, 17] Operation: 39-22=17
Moving to Node #0,2,3
Current State: 36:[19, 17], Operations: ['89-67=22', '39-22=17']
Exploring Operation: 19+17=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_5 | sum_heuristic |
[
23,
28,
21,
14
] | 86 | [
"23+28=51",
"21+14=35",
"51+35=86"
] | Current State: 86:[23, 28, 21, 14], Operations: []
Exploring Operation: 23+28=51, Resulting Numbers: [21, 14, 51]
Generated Node #2: [21, 14, 51] from Operation: 23+28=51
Current State: 86:[21, 14, 51], Operations: ['23+28=51']
Exploring Operation: 21+14=35, Resulting Numbers: [51, 35]
Generated Node #3: [51, 35] from Operation: 21+14=35
Current State: 86:[51, 35], Operations: ['23+28=51', '21+14=35']
Exploring Operation: 51+35=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[23, 28, 21, 14], Operations: []
Exploring Operation: 23+21=44, Resulting Numbers: [28, 14, 44]
Generated Node #0,0: 86:[28, 14, 44] Operation: 23+21=44
Exploring Operation: 23-21=2, Resulting Numbers: [28, 14, 2]
Generated Node #0,1: 86:[28, 14, 2] Operation: 23-21=2
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[28, 14, 2], Operations: ['23-21=2']
Exploring Operation: 28+14=42, Resulting Numbers: [2, 42]
Generated Node #0,1,0: 86:[2, 42] Operation: 28+14=42
Exploring Operation: 28/14=2, Resulting Numbers: [2, 2]
Generated Node #0,1,1: 86:[2, 2] Operation: 28/14=2
Moving to Node #0,1,1
Current State: 86:[2, 2], Operations: ['23-21=2', '28/14=2']
Exploring Operation: 2/2=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 2+2=4, Resulting Numbers: [4]
4,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[2, 42], Operations: ['23-21=2', '28+14=42']
Exploring Operation: 2+42=44, Resulting Numbers: [44]
44,86 unequal: No Solution
Exploring Operation: 2*42=84, Resulting Numbers: [84]
84,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[28, 14, 44], Operations: ['23+21=44']
Exploring Operation: 28/14=2, Resulting Numbers: [44, 2]
Generated Node #0,0,0: 86:[44, 2] Operation: 28/14=2
Exploring Operation: 28+14=42, Resulting Numbers: [44, 42]
Generated Node #0,0,1: 86:[44, 42] Operation: 28+14=42
Moving to Node #0,0,0
Current State: 86:[44, 2], Operations: ['23+21=44', '28/14=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 44*2=88, Resulting Numbers: [88]
88,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[44, 42], Operations: ['23+21=44', '28+14=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[23, 28, 21, 14], Operations: []
Exploring Operation: 23+21=44, Resulting Numbers: [28, 14, 44]
Generated Node #0,0: 86:[28, 14, 44] Operation: 23+21=44
Moving to Node #0,0
Current State: 86:[28, 14, 44], Operations: ['23+21=44']
Exploring Operation: 28+14=42, Resulting Numbers: [44, 42]
Generated Node #0,0,1: 86:[44, 42] Operation: 28+14=42
Moving to Node #0,0,1
Current State: 86:[44, 42], Operations: ['23+21=44', '28+14=42']
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_2 | sum_heuristic |
[
9,
70,
67,
4
] | 33 | [
"9*4=36",
"70-67=3",
"36-3=33"
] | Current State: 33:[9, 70, 67, 4], Operations: []
Exploring Operation: 9*4=36, Resulting Numbers: [70, 67, 36]
Generated Node #2: [70, 67, 36] from Operation: 9*4=36
Current State: 33:[70, 67, 36], Operations: ['9*4=36']
Exploring Operation: 70-67=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 70-67=3
Current State: 33:[36, 3], Operations: ['9*4=36', '70-67=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[9, 70, 67, 4], Operations: []
Exploring Operation: 67-4=63, Resulting Numbers: [9, 70, 63]
Generated Node #0,0: 33:[9, 70, 63] Operation: 67-4=63
Exploring Operation: 70-67=3, Resulting Numbers: [9, 4, 3]
Generated Node #0,1: 33:[9, 4, 3] Operation: 70-67=3
Exploring Operation: 70-9=61, Resulting Numbers: [67, 4, 61]
Generated Node #0,2: 33:[67, 4, 61] Operation: 70-9=61
Exploring Operation: 67-9=58, Resulting Numbers: [70, 4, 58]
Generated Node #0,3: 33:[70, 4, 58] Operation: 67-9=58
Exploring Operation: 70-4=66, Resulting Numbers: [9, 67, 66]
Generated Node #0,4: 33:[9, 67, 66] Operation: 70-4=66
Moving to Node #0,1
Current State: 33:[9, 4, 3], Operations: ['70-67=3']
Exploring Operation: 9-4=5, Resulting Numbers: [3, 5]
Generated Node #0,1,0: 33:[3, 5] Operation: 9-4=5
Exploring Operation: 9/3=3, Resulting Numbers: [4, 3]
Generated Node #0,1,1: 33:[4, 3] Operation: 9/3=3
Exploring Operation: 9+4=13, Resulting Numbers: [3, 13]
Generated Node #0,1,2: 33:[3, 13] Operation: 9+4=13
Exploring Operation: 9+3=12, Resulting Numbers: [4, 12]
Generated Node #0,1,3: 33:[4, 12] Operation: 9+3=12
Exploring Operation: 9*4=36, Resulting Numbers: [3, 36]
Generated Node #0,1,4: 33:[3, 36] Operation: 9*4=36
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 33:[4, 3], Operations: ['70-67=3', '9/3=3']
Exploring Operation: 4+3=7, Resulting Numbers: [7]
7,33 unequal: No Solution
Exploring Operation: 4-3=1, Resulting Numbers: [1]
1,33 unequal: No Solution
Exploring Operation: 4*3=12, Resulting Numbers: [12]
12,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 33:[3, 5], Operations: ['70-67=3', '9-4=5']
Exploring Operation: 3+5=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,33 unequal: No Solution
Exploring Operation: 3*5=15, Resulting Numbers: [15]
15,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 33:[3, 13], Operations: ['70-67=3', '9+4=13']
Exploring Operation: 3*13=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 13-3=10, Resulting Numbers: [10]
10,33 unequal: No Solution
Exploring Operation: 3+13=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 33:[4, 12], Operations: ['70-67=3', '9+3=12']
Exploring Operation: 12-4=8, Resulting Numbers: [8]
8,33 unequal: No Solution
Exploring Operation: 12/4=3, Resulting Numbers: [3]
3,33 unequal: No Solution
Exploring Operation: 4*12=48, Resulting Numbers: [48]
48,33 unequal: No Solution
Exploring Operation: 4+12=16, Resulting Numbers: [16]
16,33 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 33:[3, 36], Operations: ['70-67=3', '9*4=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,33 unequal: No Solution
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Moving to Node #0
Current State: 33:[9, 70, 67, 4], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [9, 4, 3]
Generated Node #0,1: 33:[9, 4, 3] Operation: 70-67=3
Moving to Node #0,1
Current State: 33:[9, 4, 3], Operations: ['70-67=3']
Exploring Operation: 9*4=36, Resulting Numbers: [3, 36]
Generated Node #0,1,4: 33:[3, 36] Operation: 9*4=36
Moving to Node #0,1,4
Current State: 33:[3, 36], Operations: ['70-67=3', '9*4=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
Exit Sub Search at level 1
| 0.974826 | hs_5 | mult_heuristic |
[
19,
93,
47,
3
] | 35 | [
"19+47=66",
"93/3=31",
"66-31=35"
] | Current State: 35:[19, 93, 47, 3], Operations: []
Exploring Operation: 19+47=66, Resulting Numbers: [93, 3, 66]
Generated Node #2: [93, 3, 66] from Operation: 19+47=66
Current State: 35:[93, 3, 66], Operations: ['19+47=66']
Exploring Operation: 93/3=31, Resulting Numbers: [66, 31]
Generated Node #3: [66, 31] from Operation: 93/3=31
Current State: 35:[66, 31], Operations: ['19+47=66', '93/3=31']
Exploring Operation: 66-31=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[19, 93, 47, 3], Operations: []
Exploring Operation: 93-47=46, Resulting Numbers: [19, 3, 46]
Generated Node #0,0: 35:[19, 3, 46] Operation: 93-47=46
Exploring Operation: 93-19=74, Resulting Numbers: [47, 3, 74]
Generated Node #0,1: 35:[47, 3, 74] Operation: 93-19=74
Exploring Operation: 19-3=16, Resulting Numbers: [93, 47, 16]
Generated Node #0,2: 35:[93, 47, 16] Operation: 19-3=16
Exploring Operation: 93/3=31, Resulting Numbers: [19, 47, 31]
Generated Node #0,3: 35:[19, 47, 31] Operation: 93/3=31
Exploring Operation: 47-19=28, Resulting Numbers: [93, 3, 28]
Generated Node #0,4: 35:[93, 3, 28] Operation: 47-19=28
Moving to Node #0,0
Current State: 35:[19, 3, 46], Operations: ['93-47=46']
Exploring Operation: 46-3=43, Resulting Numbers: [19, 43]
Generated Node #0,0,0: 35:[19, 43] Operation: 46-3=43
Exploring Operation: 19+3=22, Resulting Numbers: [46, 22]
Generated Node #0,0,1: 35:[46, 22] Operation: 19+3=22
Exploring Operation: 46-19=27, Resulting Numbers: [3, 27]
Generated Node #0,0,2: 35:[3, 27] Operation: 46-19=27
Exploring Operation: 3+46=49, Resulting Numbers: [19, 49]
Generated Node #0,0,3: 35:[19, 49] Operation: 3+46=49
Exploring Operation: 19-3=16, Resulting Numbers: [46, 16]
Generated Node #0,0,4: 35:[46, 16] Operation: 19-3=16
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 35:[3, 27], Operations: ['93-47=46', '46-19=27']
Exploring Operation: 3+27=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 3*27=81, Resulting Numbers: [81]
81,35 unequal: No Solution
Exploring Operation: 27/3=9, Resulting Numbers: [9]
9,35 unequal: No Solution
Exploring Operation: 27-3=24, Resulting Numbers: [24]
24,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 35:[19, 43], Operations: ['93-47=46', '46-3=43']
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,35 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 35:[46, 16], Operations: ['93-47=46', '19-3=16']
Exploring Operation: 46+16=62, Resulting Numbers: [62]
62,35 unequal: No Solution
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 46*16=736, Resulting Numbers: [736]
736,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 35:[46, 22], Operations: ['93-47=46', '19+3=22']
Exploring Operation: 46-22=24, Resulting Numbers: [24]
24,35 unequal: No Solution
Exploring Operation: 46+22=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 46*22=1012, Resulting Numbers: [1012]
1012,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 35:[19, 49], Operations: ['93-47=46', '3+46=49']
Exploring Operation: 49-19=30, Resulting Numbers: [30]
30,35 unequal: No Solution
Exploring Operation: 19+49=68, Resulting Numbers: [68]
68,35 unequal: No Solution
Exploring Operation: 19*49=931, Resulting Numbers: [931]
931,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,3
Current State: 35:[19, 47, 31], Operations: ['93/3=31']
Exploring Operation: 47-31=16, Resulting Numbers: [19, 16]
Generated Node #0,3,0: 35:[19, 16] Operation: 47-31=16
Exploring Operation: 31-19=12, Resulting Numbers: [47, 12]
Generated Node #0,3,1: 35:[47, 12] Operation: 31-19=12
Exploring Operation: 47-19=28, Resulting Numbers: [31, 28]
Generated Node #0,3,2: 35:[31, 28] Operation: 47-19=28
Exploring Operation: 19+47=66, Resulting Numbers: [31, 66]
Generated Node #0,3,3: 35:[31, 66] Operation: 19+47=66
Exploring Operation: 19+31=50, Resulting Numbers: [47, 50]
Generated Node #0,3,4: 35:[47, 50] Operation: 19+31=50
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 35:[31, 28], Operations: ['93/3=31', '47-19=28']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,35 unequal: No Solution
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 31*28=868, Resulting Numbers: [868]
868,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 35:[47, 12], Operations: ['93/3=31', '31-19=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,35 unequal: No Solution
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[19, 93, 47, 3], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [19, 47, 31]
Generated Node #0,3: 35:[19, 47, 31] Operation: 93/3=31
Moving to Node #0,3
Current State: 35:[19, 47, 31], Operations: ['93/3=31']
Exploring Operation: 31-19=12, Resulting Numbers: [47, 12]
Generated Node #0,3,1: 35:[47, 12] Operation: 31-19=12
Moving to Node #0,3,1
Current State: 35:[47, 12], Operations: ['93/3=31', '31-19=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.965278 | hs_5 | mult_heuristic |
[
20,
96,
69,
31
] | 38 | [
"96-20=76",
"69-31=38",
"76-38=38"
] | Current State: 38:[20, 96, 69, 31], Operations: []
Exploring Operation: 96-20=76, Resulting Numbers: [69, 31, 76]
Generated Node #2: [69, 31, 76] from Operation: 96-20=76
Current State: 38:[69, 31, 76], Operations: ['96-20=76']
Exploring Operation: 69-31=38, Resulting Numbers: [76, 38]
Generated Node #3: [76, 38] from Operation: 69-31=38
Current State: 38:[76, 38], Operations: ['96-20=76', '69-31=38']
Exploring Operation: 76-38=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[20, 96, 69, 31], Operations: []
Exploring Operation: 96-31=65, Resulting Numbers: [20, 69, 65]
Generated Node #0,0: 38:[20, 69, 65] Operation: 96-31=65
Exploring Operation: 96-69=27, Resulting Numbers: [20, 31, 27]
Generated Node #0,1: 38:[20, 31, 27] Operation: 96-69=27
Start Sub Search at level 1: Moving to Node #0,1
Current State: 38:[20, 31, 27], Operations: ['96-69=27']
Exploring Operation: 27-20=7, Resulting Numbers: [31, 7]
Generated Node #0,1,0: 38:[31, 7] Operation: 27-20=7
Exploring Operation: 31-27=4, Resulting Numbers: [20, 4]
Generated Node #0,1,1: 38:[20, 4] Operation: 31-27=4
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 38:[20, 4], Operations: ['96-69=27', '31-27=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,38 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,38 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 38:[31, 7], Operations: ['96-69=27', '27-20=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Moving to Node #0
Current State: 38:[20, 96, 69, 31], Operations: []
Exploring Operation: 96-69=27, Resulting Numbers: [20, 31, 27]
Generated Node #0,1: 38:[20, 31, 27] Operation: 96-69=27
Moving to Node #0,1
Current State: 38:[20, 31, 27], Operations: ['96-69=27']
Exploring Operation: 27-20=7, Resulting Numbers: [31, 7]
Generated Node #0,1,0: 38:[31, 7] Operation: 27-20=7
Moving to Node #0,1,0
Current State: 38:[31, 7], Operations: ['96-69=27', '27-20=7']
Exploring Operation: 31+7=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
85,
66,
4,
5
] | 91 | [
"85-66=19",
"5*19=95",
"95-4=91"
] | Current State: 91:[85, 66, 4, 5], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [4, 5, 19]
Generated Node #2: [4, 5, 19] from Operation: 85-66=19
Current State: 91:[4, 5, 19], Operations: ['85-66=19']
Exploring Operation: 5*19=95, Resulting Numbers: [4, 95]
Generated Node #3: [4, 95] from Operation: 5*19=95
Current State: 91:[4, 95], Operations: ['85-66=19', '5*19=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[85, 66, 4, 5], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [4, 5, 19]
Generated Node #0,0: 91:[4, 5, 19] Operation: 85-66=19
Exploring Operation: 66+4=70, Resulting Numbers: [85, 5, 70]
Generated Node #0,1: 91:[85, 5, 70] Operation: 66+4=70
Exploring Operation: 85+4=89, Resulting Numbers: [66, 5, 89]
Generated Node #0,2: 91:[66, 5, 89] Operation: 85+4=89
Exploring Operation: 85+5=90, Resulting Numbers: [66, 4, 90]
Generated Node #0,3: 91:[66, 4, 90] Operation: 85+5=90
Start Sub Search at level 1: Moving to Node #0,0
Current State: 91:[4, 5, 19], Operations: ['85-66=19']
Exploring Operation: 4+5=9, Resulting Numbers: [19, 9]
Generated Node #0,0,0: 91:[19, 9] Operation: 4+5=9
Exploring Operation: 19-5=14, Resulting Numbers: [4, 14]
Generated Node #0,0,1: 91:[4, 14] Operation: 19-5=14
Exploring Operation: 19-4=15, Resulting Numbers: [5, 15]
Generated Node #0,0,2: 91:[5, 15] Operation: 19-4=15
Exploring Operation: 5*19=95, Resulting Numbers: [4, 95]
Generated Node #0,0,3: 91:[4, 95] Operation: 5*19=95
Moving to Node #0,0,1
Current State: 91:[4, 14], Operations: ['85-66=19', '19-5=14']
Exploring Operation: 14-4=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 4+14=18, Resulting Numbers: [18]
18,91 unequal: No Solution
Exploring Operation: 4*14=56, Resulting Numbers: [56]
56,91 unequal: No Solution
Moving to Node #0,0,2
Current State: 91:[5, 15], Operations: ['85-66=19', '19-4=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,91 unequal: No Solution
Exploring Operation: 5+15=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 5*15=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,91 unequal: No Solution
Moving to Node #0,0,3
Current State: 91:[4, 95], Operations: ['85-66=19', '5*19=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[85, 66, 4, 5], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [4, 5, 19]
Generated Node #0,0: 91:[4, 5, 19] Operation: 85-66=19
Moving to Node #0,0
Current State: 91:[4, 5, 19], Operations: ['85-66=19']
Exploring Operation: 5*19=95, Resulting Numbers: [4, 95]
Generated Node #0,0,3: 91:[4, 95] Operation: 5*19=95
Moving to Node #0,0,3
Current State: 91:[4, 95], Operations: ['85-66=19', '5*19=95']
Exploring Operation: 95-4=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Exit Sub Search at level 1
| 0.982639 | hs_4 | sum_heuristic |
[
11,
15,
58,
83
] | 100 | [
"15-11=4",
"83-58=25",
"4*25=100"
] | Current State: 100:[11, 15, 58, 83], Operations: []
Exploring Operation: 15-11=4, Resulting Numbers: [58, 83, 4]
Generated Node #2: [58, 83, 4] from Operation: 15-11=4
Current State: 100:[58, 83, 4], Operations: ['15-11=4']
Exploring Operation: 83-58=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 83-58=25
Current State: 100:[4, 25], Operations: ['15-11=4', '83-58=25']
Exploring Operation: 4*25=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 | Current State: 100:[11, 15, 58, 83], Operations: []
Exploring Operation: 15+83=98, Resulting Numbers: [11, 58, 98]
Generated Node #0,0: 100:[11, 58, 98] Operation: 15+83=98
Exploring Operation: 83-58=25, Resulting Numbers: [11, 15, 25]
Generated Node #0,1: 100:[11, 15, 25] Operation: 83-58=25
Exploring Operation: 11+83=94, Resulting Numbers: [15, 58, 94]
Generated Node #0,2: 100:[15, 58, 94] Operation: 11+83=94
Start Sub Search at level 1: Moving to Node #0,1
Current State: 100:[11, 15, 25], Operations: ['83-58=25']
Exploring Operation: 11+15=26, Resulting Numbers: [25, 26]
Generated Node #0,1,0: 100:[25, 26] Operation: 11+15=26
Exploring Operation: 25-15=10, Resulting Numbers: [11, 10]
Generated Node #0,1,1: 100:[11, 10] Operation: 25-15=10
Exploring Operation: 15-11=4, Resulting Numbers: [25, 4]
Generated Node #0,1,2: 100:[25, 4] Operation: 15-11=4
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 100:[25, 4], Operations: ['83-58=25', '15-11=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Moving to Node #0
Current State: 100:[11, 15, 58, 83], Operations: []
Exploring Operation: 83-58=25, Resulting Numbers: [11, 15, 25]
Generated Node #0,1: 100:[11, 15, 25] Operation: 83-58=25
Moving to Node #0,1
Current State: 100:[11, 15, 25], Operations: ['83-58=25']
Exploring Operation: 15-11=4, Resulting Numbers: [25, 4]
Generated Node #0,1,2: 100:[25, 4] Operation: 15-11=4
Moving to Node #0,1,2
Current State: 100:[25, 4], Operations: ['83-58=25', '15-11=4']
Exploring Operation: 25*4=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_3 | mult_heuristic |
[
20,
27,
9,
38
] | 76 | [
"20+27=47",
"38-9=29",
"47+29=76"
] | Current State: 76:[20, 27, 9, 38], Operations: []
Exploring Operation: 20+27=47, Resulting Numbers: [9, 38, 47]
Generated Node #2: [9, 38, 47] from Operation: 20+27=47
Current State: 76:[9, 38, 47], Operations: ['20+27=47']
Exploring Operation: 38-9=29, Resulting Numbers: [47, 29]
Generated Node #3: [47, 29] from Operation: 38-9=29
Current State: 76:[47, 29], Operations: ['20+27=47', '38-9=29']
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[20, 27, 9, 38], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [20, 38, 18]
Generated Node #0,0: 76:[20, 38, 18] Operation: 27-9=18
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[20, 38, 18], Operations: ['27-9=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38, 38]
Generated Node #0,0,0: 76:[38, 38] Operation: 20+18=38
Moving to Node #0,0,0
Current State: 76:[38, 38], Operations: ['27-9=18', '20+18=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[20, 27, 9, 38], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [20, 38, 18]
Generated Node #0,0: 76:[20, 38, 18] Operation: 27-9=18
Moving to Node #0,0
Current State: 76:[20, 38, 18], Operations: ['27-9=18']
Exploring Operation: 20+18=38, Resulting Numbers: [38, 38]
Generated Node #0,0,0: 76:[38, 38] Operation: 20+18=38
Moving to Node #0,0,0
Current State: 76:[38, 38], Operations: ['27-9=18', '20+18=38']
Exploring Operation: 38+38=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
60,
99,
21,
82
] | 99 | [
"60+21=81",
"82-81=1",
"99*1=99"
] | Current State: 99:[60, 99, 21, 82], Operations: []
Exploring Operation: 60+21=81, Resulting Numbers: [99, 82, 81]
Generated Node #2: [99, 82, 81] from Operation: 60+21=81
Current State: 99:[99, 82, 81], Operations: ['60+21=81']
Exploring Operation: 82-81=1, Resulting Numbers: [99, 1]
Generated Node #3: [99, 1] from Operation: 82-81=1
Current State: 99:[99, 1], Operations: ['60+21=81', '82-81=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 | Current State: 99:[60, 99, 21, 82], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [99, 21, 22]
Generated Node #0,0: 99:[99, 21, 22] Operation: 82-60=22
Start Sub Search at level 1: Moving to Node #0,0
Current State: 99:[99, 21, 22], Operations: ['82-60=22']
Exploring Operation: 22-21=1, Resulting Numbers: [99, 1]
Generated Node #0,0,0: 99:[99, 1] Operation: 22-21=1
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 99:[99, 1], Operations: ['82-60=22', '22-21=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Moving to Node #0
Current State: 99:[60, 99, 21, 82], Operations: []
Exploring Operation: 82-60=22, Resulting Numbers: [99, 21, 22]
Generated Node #0,0: 99:[99, 21, 22] Operation: 82-60=22
Moving to Node #0,0
Current State: 99:[99, 21, 22], Operations: ['82-60=22']
Exploring Operation: 22-21=1, Resulting Numbers: [99, 1]
Generated Node #0,0,0: 99:[99, 1] Operation: 22-21=1
Moving to Node #0,0,0
Current State: 99:[99, 1], Operations: ['82-60=22', '22-21=1']
Exploring Operation: 99*1=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
43,
23,
54,
13
] | 47 | [
"43-23=20",
"54+13=67",
"67-20=47"
] | Current State: 47:[43, 23, 54, 13], Operations: []
Exploring Operation: 43-23=20, Resulting Numbers: [54, 13, 20]
Generated Node #2: [54, 13, 20] from Operation: 43-23=20
Current State: 47:[54, 13, 20], Operations: ['43-23=20']
Exploring Operation: 54+13=67, Resulting Numbers: [20, 67]
Generated Node #3: [20, 67] from Operation: 54+13=67
Current State: 47:[20, 67], Operations: ['43-23=20', '54+13=67']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[43, 23, 54, 13], Operations: []
Exploring Operation: 43+13=56, Resulting Numbers: [23, 54, 56]
Generated Node #0,0: 47:[23, 54, 56] Operation: 43+13=56
Exploring Operation: 54-13=41, Resulting Numbers: [43, 23, 41]
Generated Node #0,1: 47:[43, 23, 41] Operation: 54-13=41
Exploring Operation: 23+13=36, Resulting Numbers: [43, 54, 36]
Generated Node #0,2: 47:[43, 54, 36] Operation: 23+13=36
Exploring Operation: 23-13=10, Resulting Numbers: [43, 54, 10]
Generated Node #0,3: 47:[43, 54, 10] Operation: 23-13=10
Exploring Operation: 43-13=30, Resulting Numbers: [23, 54, 30]
Generated Node #0,4: 47:[23, 54, 30] Operation: 43-13=30
Moving to Node #0,2
Current State: 47:[43, 54, 36], Operations: ['23+13=36']
Exploring Operation: 54-43=11, Resulting Numbers: [36, 11]
Generated Node #0,2,0: 47:[36, 11] Operation: 54-43=11
Exploring Operation: 54-36=18, Resulting Numbers: [43, 18]
Generated Node #0,2,1: 47:[43, 18] Operation: 54-36=18
Exploring Operation: 43+36=79, Resulting Numbers: [54, 79]
Generated Node #0,2,2: 47:[54, 79] Operation: 43+36=79
Exploring Operation: 54+36=90, Resulting Numbers: [43, 90]
Generated Node #0,2,3: 47:[43, 90] Operation: 54+36=90
Exploring Operation: 43-36=7, Resulting Numbers: [54, 7]
Generated Node #0,2,4: 47:[54, 7] Operation: 43-36=7
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 47:[43, 18], Operations: ['23+13=36', '54-36=18']
Exploring Operation: 43*18=774, Resulting Numbers: [774]
774,47 unequal: No Solution
Exploring Operation: 43+18=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,47 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 #0,2,2
Current State: 47:[54, 79], Operations: ['23+13=36', '43+36=79']
Exploring Operation: 54*79=4266, Resulting Numbers: [4266]
4266,47 unequal: No Solution
Exploring Operation: 54+79=133, Resulting Numbers: [133]
133,47 unequal: No Solution
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,47 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 #0,2,0
Current State: 47:[36, 11], Operations: ['23+13=36', '54-43=11']
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,47 unequal: No Solution
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[43, 23, 54, 13], Operations: []
Exploring Operation: 23+13=36, Resulting Numbers: [43, 54, 36]
Generated Node #0,2: 47:[43, 54, 36] Operation: 23+13=36
Moving to Node #0,2
Current State: 47:[43, 54, 36], Operations: ['23+13=36']
Exploring Operation: 54-43=11, Resulting Numbers: [36, 11]
Generated Node #0,2,0: 47:[36, 11] Operation: 54-43=11
Moving to Node #0,2,0
Current State: 47:[36, 11], Operations: ['23+13=36', '54-43=11']
Exploring Operation: 36+11=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903 | hs_5 | mult_heuristic |
[
33,
82,
79,
16
] | 15 | [
"82-79=3",
"16*3=48",
"48-33=15"
] | Current State: 15:[33, 82, 79, 16], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [33, 16, 3]
Generated Node #2: [33, 16, 3] from Operation: 82-79=3
Current State: 15:[33, 16, 3], Operations: ['82-79=3']
Exploring Operation: 16*3=48, Resulting Numbers: [33, 48]
Generated Node #3: [33, 48] from Operation: 16*3=48
Current State: 15:[33, 48], Operations: ['82-79=3', '16*3=48']
Exploring Operation: 48-33=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 | Current State: 15:[33, 82, 79, 16], Operations: []
Exploring Operation: 33-16=17, Resulting Numbers: [82, 79, 17]
Generated Node #0,0: 15:[82, 79, 17] Operation: 33-16=17
Exploring Operation: 79-33=46, Resulting Numbers: [82, 16, 46]
Generated Node #0,1: 15:[82, 16, 46] Operation: 79-33=46
Exploring Operation: 82-33=49, Resulting Numbers: [79, 16, 49]
Generated Node #0,2: 15:[79, 16, 49] Operation: 82-33=49
Exploring Operation: 82-79=3, Resulting Numbers: [33, 16, 3]
Generated Node #0,3: 15:[33, 16, 3] Operation: 82-79=3
Moving to Node #0,3
Current State: 15:[33, 16, 3], Operations: ['82-79=3']
Exploring Operation: 33-16=17, Resulting Numbers: [3, 17]
Generated Node #0,3,0: 15:[3, 17] Operation: 33-16=17
Exploring Operation: 16-3=13, Resulting Numbers: [33, 13]
Generated Node #0,3,1: 15:[33, 13] Operation: 16-3=13
Exploring Operation: 33-3=30, Resulting Numbers: [16, 30]
Generated Node #0,3,2: 15:[16, 30] Operation: 33-3=30
Exploring Operation: 33/3=11, Resulting Numbers: [16, 11]
Generated Node #0,3,3: 15:[16, 11] Operation: 33/3=11
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 15:[3, 17], Operations: ['82-79=3', '33-16=17']
Exploring Operation: 3*17=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 3+17=20, Resulting Numbers: [20]
20,15 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 #0,3,3
Current State: 15:[16, 11], Operations: ['82-79=3', '33/3=11']
Exploring Operation: 16+11=27, Resulting Numbers: [27]
27,15 unequal: No Solution
Exploring Operation: 16*11=176, Resulting Numbers: [176]
176,15 unequal: No Solution
Exploring Operation: 16-11=5, Resulting Numbers: [5]
5,15 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 #0,3,2
Current State: 15:[16, 30], Operations: ['82-79=3', '33-3=30']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,15 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,15 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 #0,3,1
Current State: 15:[33, 13], Operations: ['82-79=3', '16-3=13']
Exploring Operation: 33*13=429, Resulting Numbers: [429]
429,15 unequal: No Solution
Exploring Operation: 33-13=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 15:[79, 16, 49], Operations: ['82-33=49']
Exploring Operation: 79+16=95, Resulting Numbers: [49, 95]
Generated Node #0,2,0: 15:[49, 95] Operation: 79+16=95
Exploring Operation: 49-16=33, Resulting Numbers: [79, 33]
Generated Node #0,2,1: 15:[79, 33] Operation: 49-16=33
Exploring Operation: 79-16=63, Resulting Numbers: [49, 63]
Generated Node #0,2,2: 15:[49, 63] Operation: 79-16=63
Exploring Operation: 79-49=30, Resulting Numbers: [16, 30]
Generated Node #0,2,3: 15:[16, 30] Operation: 79-49=30
Moving to Node #0,1
Current State: 15:[82, 16, 46], Operations: ['79-33=46']
Exploring Operation: 82+16=98, Resulting Numbers: [46, 98]
Generated Node #0,1,0: 15:[46, 98] Operation: 82+16=98
Exploring Operation: 82-46=36, Resulting Numbers: [16, 36]
Generated Node #0,1,1: 15:[16, 36] Operation: 82-46=36
Exploring Operation: 82-16=66, Resulting Numbers: [46, 66]
Generated Node #0,1,2: 15:[46, 66] Operation: 82-16=66
Exploring Operation: 46-16=30, Resulting Numbers: [82, 30]
Generated Node #0,1,3: 15:[82, 30] Operation: 46-16=30
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[16, 36], Operations: ['79-33=46', '82-46=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 16*36=576, Resulting Numbers: [576]
576,15 unequal: No Solution
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,15 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:[46, 66], Operations: ['79-33=46', '82-16=66']
Exploring Operation: 46+66=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 46*66=3036, Resulting Numbers: [3036]
3036,15 unequal: No Solution
Exploring Operation: 66-46=20, Resulting Numbers: [20]
20,15 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 #0,1,3
Current State: 15:[82, 30], Operations: ['79-33=46', '46-16=30']
Exploring Operation: 82-30=52, Resulting Numbers: [52]
52,15 unequal: No Solution
Exploring Operation: 82*30=2460, Resulting Numbers: [2460]
2460,15 unequal: No Solution
Exploring Operation: 82+30=112, Resulting Numbers: [112]
112,15 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:[46, 98], Operations: ['79-33=46', '82+16=98']
Exploring Operation: 46*98=4508, Resulting Numbers: [4508]
4508,15 unequal: No Solution
Exploring Operation: 46+98=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 98-46=52, Resulting Numbers: [52]
52,15 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:[82, 79, 17], Operations: ['33-16=17']
Exploring Operation: 82+79=161, Resulting Numbers: [17, 161]
Generated Node #0,0,0: 15:[17, 161] Operation: 82+79=161
Exploring Operation: 82-17=65, Resulting Numbers: [79, 65]
Generated Node #0,0,1: 15:[79, 65] Operation: 82-17=65
Exploring Operation: 79-17=62, Resulting Numbers: [82, 62]
Generated Node #0,0,2: 15:[82, 62] Operation: 79-17=62
Exploring Operation: 82-79=3, Resulting Numbers: [17, 3]
Generated Node #0,0,3: 15:[17, 3] Operation: 82-79=3
Moving to Node #0,0,3
Current State: 15:[17, 3], Operations: ['33-16=17', '82-79=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,15 unequal: No Solution
Moving to Node #0,2,3
Current State: 15:[16, 30], Operations: ['82-33=49', '79-49=30']
Exploring Operation: 16*30=480, Resulting Numbers: [480]
480,15 unequal: No Solution
Exploring Operation: 16+30=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,2,2
Current State: 15:[49, 63], Operations: ['82-33=49', '79-16=63']
Exploring Operation: 49*63=3087, Resulting Numbers: [3087]
3087,15 unequal: No Solution
Exploring Operation: 63-49=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 49+63=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Moving to Node #0,2,1
Current State: 15:[79, 33], Operations: ['82-33=49', '49-16=33']
Exploring Operation: 79+33=112, Resulting Numbers: [112]
112,15 unequal: No Solution
Exploring Operation: 79*33=2607, Resulting Numbers: [2607]
2607,15 unequal: No Solution
Exploring Operation: 79-33=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[79, 65], Operations: ['33-16=17', '82-17=65']
Exploring Operation: 79+65=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 79*65=5135, Resulting Numbers: [5135]
5135,15 unequal: No Solution
Exploring Operation: 79-65=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,2,0
Current State: 15:[49, 95], Operations: ['82-33=49', '79+16=95']
Exploring Operation: 49*95=4655, Resulting Numbers: [4655]
4655,15 unequal: No Solution
Exploring Operation: 49+95=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[82, 62], Operations: ['33-16=17', '79-17=62']
Exploring Operation: 82*62=5084, Resulting Numbers: [5084]
5084,15 unequal: No Solution
Exploring Operation: 82+62=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 82-62=20, Resulting Numbers: [20]
20,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[17, 161], Operations: ['33-16=17', '82+79=161']
Exploring Operation: 161-17=144, Resulting Numbers: [144]
144,15 unequal: No Solution
Exploring Operation: 17+161=178, Resulting Numbers: [178]
178,15 unequal: No Solution
Exploring Operation: 17*161=2737, Resulting Numbers: [2737]
2737,15 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
45,
48,
23,
31
] | 51 | [
"48-45=3",
"23+31=54",
"54-3=51"
] | Current State: 51:[45, 48, 23, 31], Operations: []
Exploring Operation: 48-45=3, Resulting Numbers: [23, 31, 3]
Generated Node #2: [23, 31, 3] from Operation: 48-45=3
Current State: 51:[23, 31, 3], Operations: ['48-45=3']
Exploring Operation: 23+31=54, Resulting Numbers: [3, 54]
Generated Node #3: [3, 54] from Operation: 23+31=54
Current State: 51:[3, 54], Operations: ['48-45=3', '23+31=54']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 | Current State: 51:[45, 48, 23, 31], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [45, 23, 17]
Generated Node #0,0: 51:[45, 23, 17] Operation: 48-31=17
Exploring Operation: 23+31=54, Resulting Numbers: [45, 48, 54]
Generated Node #0,1: 51:[45, 48, 54] Operation: 23+31=54
Exploring Operation: 31-23=8, Resulting Numbers: [45, 48, 8]
Generated Node #0,2: 51:[45, 48, 8] Operation: 31-23=8
Exploring Operation: 45-31=14, Resulting Numbers: [48, 23, 14]
Generated Node #0,3: 51:[48, 23, 14] Operation: 45-31=14
Moving to Node #0,0
Current State: 51:[45, 23, 17], Operations: ['48-31=17']
Exploring Operation: 45+23=68, Resulting Numbers: [17, 68]
Generated Node #0,0,0: 51:[17, 68] Operation: 45+23=68
Exploring Operation: 45+17=62, Resulting Numbers: [23, 62]
Generated Node #0,0,1: 51:[23, 62] Operation: 45+17=62
Exploring Operation: 45-23=22, Resulting Numbers: [17, 22]
Generated Node #0,0,2: 51:[17, 22] Operation: 45-23=22
Exploring Operation: 23-17=6, Resulting Numbers: [45, 6]
Generated Node #0,0,3: 51:[45, 6] Operation: 23-17=6
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 51:[17, 22], Operations: ['48-31=17', '45-23=22']
Exploring Operation: 17+22=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 17*22=374, Resulting Numbers: [374]
374,51 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 51:[45, 6], Operations: ['48-31=17', '23-17=6']
Exploring Operation: 45-6=39, Resulting Numbers: [39]
39,51 unequal: No Solution
Exploring Operation: 45*6=270, Resulting Numbers: [270]
270,51 unequal: No Solution
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Moving to Node #0
Current State: 51:[45, 48, 23, 31], Operations: []
Exploring Operation: 48-31=17, Resulting Numbers: [45, 23, 17]
Generated Node #0,0: 51:[45, 23, 17] Operation: 48-31=17
Moving to Node #0,0
Current State: 51:[45, 23, 17], Operations: ['48-31=17']
Exploring Operation: 23-17=6, Resulting Numbers: [45, 6]
Generated Node #0,0,3: 51:[45, 6] Operation: 23-17=6
Moving to Node #0,0,3
Current State: 51:[45, 6], Operations: ['48-31=17', '23-17=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375 | hs_4 | sum_heuristic |
[
21,
78,
12,
75
] | 30 | [
"78-21=57",
"12+75=87",
"87-57=30"
] | Current State: 30:[21, 78, 12, 75], Operations: []
Exploring Operation: 78-21=57, Resulting Numbers: [12, 75, 57]
Generated Node #2: [12, 75, 57] from Operation: 78-21=57
Current State: 30:[12, 75, 57], Operations: ['78-21=57']
Exploring Operation: 12+75=87, Resulting Numbers: [57, 87]
Generated Node #3: [57, 87] from Operation: 12+75=87
Current State: 30:[57, 87], Operations: ['78-21=57', '12+75=87']
Exploring Operation: 87-57=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 | Current State: 30:[21, 78, 12, 75], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [21, 12, 3]
Generated Node #0,0: 30:[21, 12, 3] Operation: 78-75=3
Exploring Operation: 78-21=57, Resulting Numbers: [12, 75, 57]
Generated Node #0,1: 30:[12, 75, 57] Operation: 78-21=57
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[21, 12, 3], Operations: ['78-75=3']
Exploring Operation: 21+12=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 30:[3, 33] Operation: 21+12=33
Exploring Operation: 21-12=9, Resulting Numbers: [3, 9]
Generated Node #0,0,1: 30:[3, 9] Operation: 21-12=9
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 30:[3, 9], Operations: ['78-75=3', '21-12=9']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,30 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[3, 33], Operations: ['78-75=3', '21+12=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[21, 78, 12, 75], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [21, 12, 3]
Generated Node #0,0: 30:[21, 12, 3] Operation: 78-75=3
Moving to Node #0,0
Current State: 30:[21, 12, 3], Operations: ['78-75=3']
Exploring Operation: 21+12=33, Resulting Numbers: [3, 33]
Generated Node #0,0,0: 30:[3, 33] Operation: 21+12=33
Moving to Node #0,0,0
Current State: 30:[3, 33], Operations: ['78-75=3', '21+12=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.990451 | hs_2 | sum_heuristic |
[
1,
4,
76,
66
] | 13 | [
"4-1=3",
"76-66=10",
"3+10=13"
] | Current State: 13:[1, 4, 76, 66], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [76, 66, 3]
Generated Node #2: [76, 66, 3] from Operation: 4-1=3
Current State: 13:[76, 66, 3], Operations: ['4-1=3']
Exploring Operation: 76-66=10, Resulting Numbers: [3, 10]
Generated Node #3: [3, 10] from Operation: 76-66=10
Current State: 13:[3, 10], Operations: ['4-1=3', '76-66=10']
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[1, 4, 76, 66], Operations: []
Exploring Operation: 76/4=19, Resulting Numbers: [1, 66, 19]
Generated Node #0,0: 13:[1, 66, 19] Operation: 76/4=19
Exploring Operation: 76-1=75, Resulting Numbers: [4, 66, 75]
Generated Node #0,1: 13:[4, 66, 75] Operation: 76-1=75
Exploring Operation: 76-66=10, Resulting Numbers: [1, 4, 10]
Generated Node #0,2: 13:[1, 4, 10] Operation: 76-66=10
Exploring Operation: 66-1=65, Resulting Numbers: [4, 76, 65]
Generated Node #0,3: 13:[4, 76, 65] Operation: 66-1=65
Exploring Operation: 1+4=5, Resulting Numbers: [76, 66, 5]
Generated Node #0,4: 13:[76, 66, 5] Operation: 1+4=5
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[1, 4, 10], Operations: ['76-66=10']
Exploring Operation: 1*10=10, Resulting Numbers: [4, 10]
Generated Node #0,2,0: 13:[4, 10] Operation: 1*10=10
Exploring Operation: 4/1=4, Resulting Numbers: [10, 4]
Generated Node #0,2,1: 13:[10, 4] Operation: 4/1=4
Exploring Operation: 1+10=11, Resulting Numbers: [4, 11]
Generated Node #0,2,2: 13:[4, 11] Operation: 1+10=11
Exploring Operation: 1*4=4, Resulting Numbers: [10, 4]
Generated Node #0,2,3: 13:[10, 4] Operation: 1*4=4
Exploring Operation: 1+4=5, Resulting Numbers: [10, 5]
Generated Node #0,2,4: 13:[10, 5] Operation: 1+4=5
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 13:[4, 11], Operations: ['76-66=10', '1+10=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,13 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,13 unequal: No Solution
Exploring Operation: 4+11=15, Resulting Numbers: [15]
15,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 13:[10, 5], Operations: ['76-66=10', '1+4=5']
Exploring Operation: 10+5=15, Resulting Numbers: [15]
15,13 unequal: No Solution
Exploring Operation: 10-5=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 10/5=2, Resulting Numbers: [2]
2,13 unequal: No Solution
Exploring Operation: 10*5=50, Resulting Numbers: [50]
50,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 13:[4, 10], Operations: ['76-66=10', '1*10=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,13 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 13:[10, 4], Operations: ['76-66=10', '4/1=4']
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 13:[10, 4], Operations: ['76-66=10', '1*4=4']
Exploring Operation: 10+4=14, Resulting Numbers: [14]
14,13 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[1, 66, 19], Operations: ['76/4=19']
Exploring Operation: 19-1=18, Resulting Numbers: [66, 18]
Generated Node #0,0,0: 13:[66, 18] Operation: 19-1=18
Exploring Operation: 66-1=65, Resulting Numbers: [19, 65]
Generated Node #0,0,1: 13:[19, 65] Operation: 66-1=65
Exploring Operation: 66/1=66, Resulting Numbers: [19, 66]
Generated Node #0,0,2: 13:[19, 66] Operation: 66/1=66
Exploring Operation: 66-19=47, Resulting Numbers: [1, 47]
Generated Node #0,0,3: 13:[1, 47] Operation: 66-19=47
Exploring Operation: 1*66=66, Resulting Numbers: [19, 66]
Generated Node #0,0,4: 13:[19, 66] Operation: 1*66=66
Moving to Node #0,0,3
Current State: 13:[1, 47], Operations: ['76/4=19', '66-19=47']
Exploring Operation: 1*47=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 47/1=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 1+47=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,0,1
Current State: 13:[19, 65], Operations: ['76/4=19', '66-1=65']
Exploring Operation: 19*65=1235, Resulting Numbers: [1235]
1235,13 unequal: No Solution
Exploring Operation: 19+65=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 65-19=46, Resulting Numbers: [46]
46,13 unequal: No Solution
Moving to Node #0,0,0
Current State: 13:[66, 18], Operations: ['76/4=19', '19-1=18']
Exploring Operation: 66+18=84, Resulting Numbers: [84]
84,13 unequal: No Solution
Exploring Operation: 66-18=48, Resulting Numbers: [48]
48,13 unequal: No Solution
Exploring Operation: 66*18=1188, Resulting Numbers: [1188]
1188,13 unequal: No Solution
Moving to Node #0,0,2
Current State: 13:[19, 66], Operations: ['76/4=19', '66/1=66']
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,13 unequal: No Solution
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,13 unequal: No Solution
Moving to Node #0,0,4
Current State: 13:[19, 66], Operations: ['76/4=19', '1*66=66']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,13 unequal: No Solution
Exploring Operation: 19*66=1254, Resulting Numbers: [1254]
1254,13 unequal: No Solution
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 13:[4, 66, 75], Operations: ['76-1=75']
Exploring Operation: 75-4=71, Resulting Numbers: [66, 71]
Generated Node #0,1,0: 13:[66, 71] Operation: 75-4=71
Exploring Operation: 4+66=70, Resulting Numbers: [75, 70]
Generated Node #0,1,1: 13:[75, 70] Operation: 4+66=70
Exploring Operation: 4+75=79, Resulting Numbers: [66, 79]
Generated Node #0,1,2: 13:[66, 79] Operation: 4+75=79
Exploring Operation: 66-4=62, Resulting Numbers: [75, 62]
Generated Node #0,1,3: 13:[75, 62] Operation: 66-4=62
Exploring Operation: 75-66=9, Resulting Numbers: [4, 9]
Generated Node #0,1,4: 13:[4, 9] Operation: 75-66=9
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 13:[4, 9], Operations: ['76-1=75', '75-66=9']
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Moving to Node #0
Current State: 13:[1, 4, 76, 66], Operations: []
Exploring Operation: 76-1=75, Resulting Numbers: [4, 66, 75]
Generated Node #0,1: 13:[4, 66, 75] Operation: 76-1=75
Moving to Node #0,1
Current State: 13:[4, 66, 75], Operations: ['76-1=75']
Exploring Operation: 75-66=9, Resulting Numbers: [4, 9]
Generated Node #0,1,4: 13:[4, 9] Operation: 75-66=9
Moving to Node #0,1,4
Current State: 13:[4, 9], Operations: ['76-1=75', '75-66=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.948785 | hs_5 | mult_heuristic |
[
60,
43,
55,
3
] | 96 | [
"55-43=12",
"3*12=36",
"60+36=96"
] | Current State: 96:[60, 43, 55, 3], Operations: []
Exploring Operation: 55-43=12, Resulting Numbers: [60, 3, 12]
Generated Node #2: [60, 3, 12] from Operation: 55-43=12
Current State: 96:[60, 3, 12], Operations: ['55-43=12']
Exploring Operation: 3*12=36, Resulting Numbers: [60, 36]
Generated Node #3: [60, 36] from Operation: 3*12=36
Current State: 96:[60, 36], Operations: ['55-43=12', '3*12=36']
Exploring Operation: 60+36=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[60, 43, 55, 3], Operations: []
Exploring Operation: 60-55=5, Resulting Numbers: [43, 3, 5]
Generated Node #0,0: 96:[43, 3, 5] Operation: 60-55=5
Exploring Operation: 60-43=17, Resulting Numbers: [55, 3, 17]
Generated Node #0,1: 96:[55, 3, 17] Operation: 60-43=17
Start Sub Search at level 1: Moving to Node #0,0
Current State: 96:[43, 3, 5], Operations: ['60-55=5']
Exploring Operation: 43+3=46, Resulting Numbers: [5, 46]
Generated Node #0,0,0: 96:[5, 46] Operation: 43+3=46
Exploring Operation: 43+5=48, Resulting Numbers: [3, 48]
Generated Node #0,0,1: 96:[3, 48] Operation: 43+5=48
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 96:[3, 48], Operations: ['60-55=5', '43+5=48']
Exploring Operation: 3+48=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 96:[5, 46], Operations: ['60-55=5', '43+3=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,96 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,96 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 96:[55, 3, 17], Operations: ['60-43=17']
Exploring Operation: 55-17=38, Resulting Numbers: [3, 38]
Generated Node #0,1,0: 96:[3, 38] Operation: 55-17=38
Exploring Operation: 55-3=52, Resulting Numbers: [17, 52]
Generated Node #0,1,1: 96:[17, 52] Operation: 55-3=52
Moving to Node #0,1,1
Current State: 96:[17, 52], Operations: ['60-43=17', '55-3=52']
Exploring Operation: 17+52=69, Resulting Numbers: [69]
69,96 unequal: No Solution
Exploring Operation: 52-17=35, Resulting Numbers: [35]
35,96 unequal: No Solution
Moving to Node #0,1,0
Current State: 96:[3, 38], Operations: ['60-43=17', '55-17=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,96 unequal: No Solution
Exploring Operation: 38-3=35, Resulting Numbers: [35]
35,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | mult_heuristic |
[
60,
44,
4,
96
] | 76 | [
"60-44=16",
"96-4=92",
"92-16=76"
] | Current State: 76:[60, 44, 4, 96], Operations: []
Exploring Operation: 60-44=16, Resulting Numbers: [4, 96, 16]
Generated Node #2: [4, 96, 16] from Operation: 60-44=16
Current State: 76:[4, 96, 16], Operations: ['60-44=16']
Exploring Operation: 96-4=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 96-4=92
Current State: 76:[16, 92], Operations: ['60-44=16', '96-4=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[60, 44, 4, 96], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [44, 4, 36]
Generated Node #0,0: 76:[44, 4, 36] Operation: 96-60=36
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[44, 4, 36], Operations: ['96-60=36']
Exploring Operation: 44-4=40, Resulting Numbers: [36, 40]
Generated Node #0,0,0: 76:[36, 40] Operation: 44-4=40
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[36, 40], Operations: ['96-60=36', '44-4=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[60, 44, 4, 96], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [44, 4, 36]
Generated Node #0,0: 76:[44, 4, 36] Operation: 96-60=36
Moving to Node #0,0
Current State: 76:[44, 4, 36], Operations: ['96-60=36']
Exploring Operation: 44-4=40, Resulting Numbers: [36, 40]
Generated Node #0,0,0: 76:[36, 40] Operation: 44-4=40
Moving to Node #0,0,0
Current State: 76:[36, 40], Operations: ['96-60=36', '44-4=40']
Exploring Operation: 36+40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
74,
63,
28,
25
] | 86 | [
"74*25=1850",
"63*28=1764",
"1850-1764=86"
] | Current State: 86:[74, 63, 28, 25], Operations: []
Exploring Operation: 74*25=1850, Resulting Numbers: [63, 28, 1850]
Generated Node #2: [63, 28, 1850] from Operation: 74*25=1850
Current State: 86:[63, 28, 1850], Operations: ['74*25=1850']
Exploring Operation: 63*28=1764, Resulting Numbers: [1850, 1764]
Generated Node #3: [1850, 1764] from Operation: 63*28=1764
Current State: 86:[1850, 1764], Operations: ['74*25=1850', '63*28=1764']
Exploring Operation: 1850-1764=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 | Current State: 86:[74, 63, 28, 25], Operations: []
Exploring Operation: 63+25=88, Resulting Numbers: [74, 28, 88]
Generated Node #0,0: 86:[74, 28, 88] Operation: 63+25=88
Exploring Operation: 63-25=38, Resulting Numbers: [74, 28, 38]
Generated Node #0,1: 86:[74, 28, 38] Operation: 63-25=38
Exploring Operation: 28-25=3, Resulting Numbers: [74, 63, 3]
Generated Node #0,2: 86:[74, 63, 3] Operation: 28-25=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[74, 28, 88], Operations: ['63+25=88']
Exploring Operation: 74+28=102, Resulting Numbers: [88, 102]
Generated Node #0,0,0: 86:[88, 102] Operation: 74+28=102
Exploring Operation: 74-28=46, Resulting Numbers: [88, 46]
Generated Node #0,0,1: 86:[88, 46] Operation: 74-28=46
Exploring Operation: 88-74=14, Resulting Numbers: [28, 14]
Generated Node #0,0,2: 86:[28, 14] Operation: 88-74=14
Moving to Node #0,0,1
Current State: 86:[88, 46], Operations: ['63+25=88', '74-28=46']
Exploring Operation: 88-46=42, Resulting Numbers: [42]
42,86 unequal: No Solution
Exploring Operation: 88+46=134, Resulting Numbers: [134]
134,86 unequal: No Solution
Exploring Operation: 88*46=4048, Resulting Numbers: [4048]
4048,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[88, 102], Operations: ['63+25=88', '74+28=102']
Exploring Operation: 102-88=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 88+102=190, Resulting Numbers: [190]
190,86 unequal: No Solution
Exploring Operation: 88*102=8976, Resulting Numbers: [8976]
8976,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[28, 14], Operations: ['63+25=88', '88-74=14']
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[74, 28, 38], Operations: ['63-25=38']
Exploring Operation: 74+28=102, Resulting Numbers: [38, 102]
Generated Node #0,1,0: 86:[38, 102] Operation: 74+28=102
Exploring Operation: 38-28=10, Resulting Numbers: [74, 10]
Generated Node #0,1,1: 86:[74, 10] Operation: 38-28=10
Exploring Operation: 74-28=46, Resulting Numbers: [38, 46]
Generated Node #0,1,2: 86:[38, 46] Operation: 74-28=46
Moving to Node #0,1,2
Current State: 86:[38, 46], Operations: ['63-25=38', '74-28=46']
Exploring Operation: 38*46=1748, Resulting Numbers: [1748]
1748,86 unequal: No Solution
Exploring Operation: 38+46=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 46-38=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Moving to Node #0,1,1
Current State: 86:[74, 10], Operations: ['63-25=38', '38-28=10']
Exploring Operation: 74+10=84, Resulting Numbers: [84]
84,86 unequal: No Solution
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,86 unequal: No Solution
Exploring Operation: 74*10=740, Resulting Numbers: [740]
740,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[38, 102], Operations: ['63-25=38', '74+28=102']
Exploring Operation: 102-38=64, Resulting Numbers: [64]
64,86 unequal: No Solution
Exploring Operation: 38+102=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 38*102=3876, Resulting Numbers: [3876]
3876,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[74, 63, 3], Operations: ['28-25=3']
Exploring Operation: 74+3=77, Resulting Numbers: [63, 77]
Generated Node #0,2,0: 86:[63, 77] Operation: 74+3=77
Exploring Operation: 74-63=11, Resulting Numbers: [3, 11]
Generated Node #0,2,1: 86:[3, 11] Operation: 74-63=11
Exploring Operation: 63-3=60, Resulting Numbers: [74, 60]
Generated Node #0,2,2: 86:[74, 60] Operation: 63-3=60
Moving to Node #0,2,1
Current State: 86:[3, 11], Operations: ['28-25=3', '74-63=11']
Exploring Operation: 11-3=8, Resulting Numbers: [8]
8,86 unequal: No Solution
Exploring Operation: 3+11=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[63, 77], Operations: ['28-25=3', '74+3=77']
Exploring Operation: 63*77=4851, Resulting Numbers: [4851]
4851,86 unequal: No Solution
Exploring Operation: 63+77=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Exploring Operation: 77-63=14, Resulting Numbers: [14]
14,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[74, 60], Operations: ['28-25=3', '63-3=60']
Exploring Operation: 74+60=134, Resulting Numbers: [134]
134,86 unequal: No Solution
Exploring Operation: 74*60=4440, Resulting Numbers: [4440]
4440,86 unequal: No Solution
Exploring Operation: 74-60=14, Resulting Numbers: [14]
14,86 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 |
[
20,
1,
46,
24
] | 10 | [
"24-1=23",
"20*23=460",
"460/46=10"
] | Current State: 10:[20, 1, 46, 24], Operations: []
Exploring Operation: 24-1=23, Resulting Numbers: [20, 46, 23]
Generated Node #2: [20, 46, 23] from Operation: 24-1=23
Current State: 10:[20, 46, 23], Operations: ['24-1=23']
Exploring Operation: 20*23=460, Resulting Numbers: [46, 460]
Generated Node #3: [46, 460] from Operation: 20*23=460
Current State: 10:[46, 460], Operations: ['24-1=23', '20*23=460']
Exploring Operation: 460/46=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 | Current State: 10:[20, 1, 46, 24], Operations: []
Exploring Operation: 24-20=4, Resulting Numbers: [1, 46, 4]
Generated Node #0,0: 10:[1, 46, 4] Operation: 24-20=4
Exploring Operation: 46-20=26, Resulting Numbers: [1, 24, 26]
Generated Node #0,1: 10:[1, 24, 26] Operation: 46-20=26
Exploring Operation: 46-24=22, Resulting Numbers: [20, 1, 22]
Generated Node #0,2: 10:[20, 1, 22] Operation: 46-24=22
Moving to Node #0,2
Current State: 10:[20, 1, 22], Operations: ['46-24=22']
Exploring Operation: 22-20=2, Resulting Numbers: [1, 2]
Generated Node #0,2,0: 10:[1, 2] Operation: 22-20=2
Exploring Operation: 22-1=21, Resulting Numbers: [20, 21]
Generated Node #0,2,1: 10:[20, 21] Operation: 22-1=21
Exploring Operation: 20-1=19, Resulting Numbers: [22, 19]
Generated Node #0,2,2: 10:[22, 19] Operation: 20-1=19
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 10:[1, 2], Operations: ['46-24=22', '22-20=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,10 unequal: No Solution
No 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: 10:[20, 21], Operations: ['46-24=22', '22-1=21']
Exploring Operation: 20+21=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 20*21=420, Resulting Numbers: [420]
420,10 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,10 unequal: No Solution
No 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: 10:[22, 19], Operations: ['46-24=22', '20-1=19']
Exploring Operation: 22*19=418, Resulting Numbers: [418]
418,10 unequal: No Solution
Exploring Operation: 22+19=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 22-19=3, Resulting Numbers: [3]
3,10 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: 10:[1, 24, 26], Operations: ['46-20=26']
Exploring Operation: 26-1=25, Resulting Numbers: [24, 25]
Generated Node #0,1,0: 10:[24, 25] Operation: 26-1=25
Exploring Operation: 24-1=23, Resulting Numbers: [26, 23]
Generated Node #0,1,1: 10:[26, 23] Operation: 24-1=23
Exploring Operation: 26-24=2, Resulting Numbers: [1, 2]
Generated Node #0,1,2: 10:[1, 2] Operation: 26-24=2
Moving to Node #0,0
Current State: 10:[1, 46, 4], Operations: ['24-20=4']
Exploring Operation: 46-1=45, Resulting Numbers: [4, 45]
Generated Node #0,0,0: 10:[4, 45] Operation: 46-1=45
Exploring Operation: 1+4=5, Resulting Numbers: [46, 5]
Generated Node #0,0,1: 10:[46, 5] Operation: 1+4=5
Exploring Operation: 46-4=42, Resulting Numbers: [1, 42]
Generated Node #0,0,2: 10:[1, 42] Operation: 46-4=42
Moving to Node #0,1,2
Current State: 10:[1, 2], Operations: ['46-20=26', '26-24=2']
Exploring Operation: 1*2=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Exploring Operation: 1+2=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,10 unequal: No Solution
Moving to Node #0,1,1
Current State: 10:[26, 23], Operations: ['46-20=26', '24-1=23']
Exploring Operation: 26+23=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 26*23=598, Resulting Numbers: [598]
598,10 unequal: No Solution
Exploring Operation: 26-23=3, Resulting Numbers: [3]
3,10 unequal: No Solution
Moving to Node #0,1,0
Current State: 10:[24, 25], Operations: ['46-20=26', '26-1=25']
Exploring Operation: 24+25=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 24*25=600, Resulting Numbers: [600]
600,10 unequal: No Solution
Exploring Operation: 25-24=1, Resulting Numbers: [1]
1,10 unequal: No Solution
Moving to Node #0,0,2
Current State: 10:[1, 42], Operations: ['24-20=4', '46-4=42']
Exploring Operation: 42-1=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Exploring Operation: 42/1=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Exploring Operation: 1*42=42, Resulting Numbers: [42]
42,10 unequal: No Solution
Moving to Node #0,0,0
Current State: 10:[4, 45], Operations: ['24-20=4', '46-1=45']
Exploring Operation: 4*45=180, Resulting Numbers: [180]
180,10 unequal: No Solution
Exploring Operation: 4+45=49, Resulting Numbers: [49]
49,10 unequal: No Solution
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,10 unequal: No Solution
Moving to Node #0,0,1
Current State: 10:[46, 5], Operations: ['24-20=4', '1+4=5']
Exploring Operation: 46*5=230, Resulting Numbers: [230]
230,10 unequal: No Solution
Exploring Operation: 46+5=51, Resulting Numbers: [51]
51,10 unequal: No Solution
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,10 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
35,
66,
42,
87
] | 70 | [
"35*42=1470",
"87-66=21",
"1470/21=70"
] | Current State: 70:[35, 66, 42, 87], Operations: []
Exploring Operation: 35*42=1470, Resulting Numbers: [66, 87, 1470]
Generated Node #2: [66, 87, 1470] from Operation: 35*42=1470
Current State: 70:[66, 87, 1470], Operations: ['35*42=1470']
Exploring Operation: 87-66=21, Resulting Numbers: [1470, 21]
Generated Node #3: [1470, 21] from Operation: 87-66=21
Current State: 70:[1470, 21], Operations: ['35*42=1470', '87-66=21']
Exploring Operation: 1470/21=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[35, 66, 42, 87], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [35, 42, 21]
Generated Node #0,0: 70:[35, 42, 21] Operation: 87-66=21
Exploring Operation: 87-42=45, Resulting Numbers: [35, 66, 45]
Generated Node #0,1: 70:[35, 66, 45] Operation: 87-42=45
Moving to Node #0,0
Current State: 70:[35, 42, 21], Operations: ['87-66=21']
Exploring Operation: 42/21=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 70:[35, 2] Operation: 42/21=2
Exploring Operation: 42-35=7, Resulting Numbers: [21, 7]
Generated Node #0,0,1: 70:[21, 7] Operation: 42-35=7
Moving to Node #0,1
Current State: 70:[35, 66, 45], Operations: ['87-42=45']
Exploring Operation: 66-45=21, Resulting Numbers: [35, 21]
Generated Node #0,1,0: 70:[35, 21] Operation: 66-45=21
Exploring Operation: 45-35=10, Resulting Numbers: [66, 10]
Generated Node #0,1,1: 70:[66, 10] Operation: 45-35=10
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 70:[66, 10], Operations: ['87-42=45', '45-35=10']
Exploring Operation: 66-10=56, Resulting Numbers: [56]
56,70 unequal: No Solution
Exploring Operation: 66+10=76, Resulting Numbers: [76]
76,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 70:[35, 21], Operations: ['87-42=45', '66-45=21']
Exploring Operation: 35-21=14, Resulting Numbers: [14]
14,70 unequal: No Solution
Exploring Operation: 35+21=56, Resulting Numbers: [56]
56,70 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: 70:[35, 2], Operations: ['87-66=21', '42/21=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
Moving to Node #0
Current State: 70:[35, 66, 42, 87], Operations: []
Exploring Operation: 87-66=21, Resulting Numbers: [35, 42, 21]
Generated Node #0,0: 70:[35, 42, 21] Operation: 87-66=21
Moving to Node #0,0
Current State: 70:[35, 42, 21], Operations: ['87-66=21']
Exploring Operation: 42/21=2, Resulting Numbers: [35, 2]
Generated Node #0,0,0: 70:[35, 2] Operation: 42/21=2
Moving to Node #0,0,0
Current State: 70:[35, 2], Operations: ['87-66=21', '42/21=2']
Exploring Operation: 35*2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.986979 | hs_2 | sum_heuristic |
[
44,
75,
46,
49
] | 69 | [
"49-46=3",
"75/3=25",
"44+25=69"
] | Current State: 69:[44, 75, 46, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [44, 75, 3]
Generated Node #2: [44, 75, 3] from Operation: 49-46=3
Current State: 69:[44, 75, 3], Operations: ['49-46=3']
Exploring Operation: 75/3=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 75/3=25
Current State: 69:[44, 25], Operations: ['49-46=3', '75/3=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[44, 75, 46, 49], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [75, 49, 2]
Generated Node #0,0: 69:[75, 49, 2] Operation: 46-44=2
Exploring Operation: 44+46=90, Resulting Numbers: [75, 49, 90]
Generated Node #0,1: 69:[75, 49, 90] Operation: 44+46=90
Exploring Operation: 49-44=5, Resulting Numbers: [75, 46, 5]
Generated Node #0,2: 69:[75, 46, 5] Operation: 49-44=5
Exploring Operation: 49-46=3, Resulting Numbers: [44, 75, 3]
Generated Node #0,3: 69:[44, 75, 3] Operation: 49-46=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 69:[75, 49, 2], Operations: ['46-44=2']
Exploring Operation: 49+2=51, Resulting Numbers: [75, 51]
Generated Node #0,0,0: 69:[75, 51] Operation: 49+2=51
Exploring Operation: 75-2=73, Resulting Numbers: [49, 73]
Generated Node #0,0,1: 69:[49, 73] Operation: 75-2=73
Exploring Operation: 75-49=26, Resulting Numbers: [2, 26]
Generated Node #0,0,2: 69:[2, 26] Operation: 75-49=26
Exploring Operation: 75+2=77, Resulting Numbers: [49, 77]
Generated Node #0,0,3: 69:[49, 77] Operation: 75+2=77
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 69:[2, 26], Operations: ['46-44=2', '75-49=26']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,69 unequal: No Solution
No 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: 69:[75, 51], Operations: ['46-44=2', '49+2=51']
Exploring Operation: 75*51=3825, Resulting Numbers: [3825]
3825,69 unequal: No Solution
Exploring Operation: 75+51=126, Resulting Numbers: [126]
126,69 unequal: No Solution
Exploring Operation: 75-51=24, Resulting Numbers: [24]
24,69 unequal: No Solution
No 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: 69:[49, 73], Operations: ['46-44=2', '75-2=73']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,69 unequal: No Solution
Exploring Operation: 49+73=122, Resulting Numbers: [122]
122,69 unequal: No Solution
Exploring Operation: 49*73=3577, Resulting Numbers: [3577]
3577,69 unequal: No Solution
No 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: 69:[49, 77], Operations: ['46-44=2', '75+2=77']
Exploring Operation: 77-49=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 49*77=3773, Resulting Numbers: [3773]
3773,69 unequal: No Solution
Exploring Operation: 49+77=126, Resulting Numbers: [126]
126,69 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: 69:[44, 75, 3], Operations: ['49-46=3']
Exploring Operation: 75-3=72, Resulting Numbers: [44, 72]
Generated Node #0,3,0: 69:[44, 72] Operation: 75-3=72
Exploring Operation: 75/3=25, Resulting Numbers: [44, 25]
Generated Node #0,3,1: 69:[44, 25] Operation: 75/3=25
Exploring Operation: 75-44=31, Resulting Numbers: [3, 31]
Generated Node #0,3,2: 69:[3, 31] Operation: 75-44=31
Exploring Operation: 44-3=41, Resulting Numbers: [75, 41]
Generated Node #0,3,3: 69:[75, 41] Operation: 44-3=41
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 69:[3, 31], Operations: ['49-46=3', '75-44=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,69 unequal: No Solution
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,69 unequal: No Solution
No 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: 69:[44, 25], Operations: ['49-46=3', '75/3=25']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,69 unequal: No Solution
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Moving to Node #0
Current State: 69:[44, 75, 46, 49], Operations: []
Exploring Operation: 49-46=3, Resulting Numbers: [44, 75, 3]
Generated Node #0,3: 69:[44, 75, 3] Operation: 49-46=3
Moving to Node #0,3
Current State: 69:[44, 75, 3], Operations: ['49-46=3']
Exploring Operation: 75/3=25, Resulting Numbers: [44, 25]
Generated Node #0,3,1: 69:[44, 25] Operation: 75/3=25
Moving to Node #0,3,1
Current State: 69:[44, 25], Operations: ['49-46=3', '75/3=25']
Exploring Operation: 44+25=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.970486 | hs_4 | mult_heuristic |
[
62,
76,
34,
1
] | 20 | [
"76-62=14",
"34*1=34",
"34-14=20"
] | Current State: 20:[62, 76, 34, 1], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [34, 1, 14]
Generated Node #2: [34, 1, 14] from Operation: 76-62=14
Current State: 20:[34, 1, 14], Operations: ['76-62=14']
Exploring Operation: 34*1=34, Resulting Numbers: [14, 34]
Generated Node #3: [14, 34] from Operation: 34*1=34
Current State: 20:[14, 34], Operations: ['76-62=14', '34*1=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 | Current State: 20:[62, 76, 34, 1], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [34, 1, 14]
Generated Node #0,0: 20:[34, 1, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 20:[34, 1, 14], Operations: ['76-62=14']
Exploring Operation: 34-14=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 20:[1, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 20:[1, 20], Operations: ['76-62=14', '34-14=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
Moving to Node #0
Current State: 20:[62, 76, 34, 1], Operations: []
Exploring Operation: 76-62=14, Resulting Numbers: [34, 1, 14]
Generated Node #0,0: 20:[34, 1, 14] Operation: 76-62=14
Moving to Node #0,0
Current State: 20:[34, 1, 14], Operations: ['76-62=14']
Exploring Operation: 34-14=20, Resulting Numbers: [1, 20]
Generated Node #0,0,0: 20:[1, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 20:[1, 20], Operations: ['76-62=14', '34-14=20']
Exploring Operation: 1*20=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 0.993924 | hs_1 | mult_heuristic |
[
7,
45,
89,
98
] | 47 | [
"45-7=38",
"98-89=9",
"38+9=47"
] | Current State: 47:[7, 45, 89, 98], Operations: []
Exploring Operation: 45-7=38, Resulting Numbers: [89, 98, 38]
Generated Node #2: [89, 98, 38] from Operation: 45-7=38
Current State: 47:[89, 98, 38], Operations: ['45-7=38']
Exploring Operation: 98-89=9, Resulting Numbers: [38, 9]
Generated Node #3: [38, 9] from Operation: 98-89=9
Current State: 47:[38, 9], Operations: ['45-7=38', '98-89=9']
Exploring Operation: 38+9=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 | Current State: 47:[7, 45, 89, 98], Operations: []
Exploring Operation: 98-89=9, Resulting Numbers: [7, 45, 9]
Generated Node #0,0: 47:[7, 45, 9] Operation: 98-89=9
Exploring Operation: 98/7=14, Resulting Numbers: [45, 89, 14]
Generated Node #0,1: 47:[45, 89, 14] Operation: 98/7=14
Moving to Node #0,1
Current State: 47:[45, 89, 14], Operations: ['98/7=14']
Exploring Operation: 89-14=75, Resulting Numbers: [45, 75]
Generated Node #0,1,0: 47:[45, 75] Operation: 89-14=75
Exploring Operation: 89-45=44, Resulting Numbers: [14, 44]
Generated Node #0,1,1: 47:[14, 44] Operation: 89-45=44
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[45, 75], Operations: ['98/7=14', '89-14=75']
Exploring Operation: 45+75=120, Resulting Numbers: [120]
120,47 unequal: No Solution
Exploring Operation: 75-45=30, Resulting Numbers: [30]
30,47 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 #0,1,1
Current State: 47:[14, 44], Operations: ['98/7=14', '89-45=44']
Exploring Operation: 14+44=58, Resulting Numbers: [58]
58,47 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,47 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: 47:[7, 45, 9], Operations: ['98-89=9']
Exploring Operation: 7+9=16, Resulting Numbers: [45, 16]
Generated Node #0,0,0: 47:[45, 16] Operation: 7+9=16
Exploring Operation: 7*9=63, Resulting Numbers: [45, 63]
Generated Node #0,0,1: 47:[45, 63] Operation: 7*9=63
Moving to Node #0,0,1
Current State: 47:[45, 63], Operations: ['98-89=9', '7*9=63']
Exploring Operation: 45+63=108, Resulting Numbers: [108]
108,47 unequal: No Solution
Exploring Operation: 63-45=18, Resulting Numbers: [18]
18,47 unequal: No Solution
Moving to Node #0,0,0
Current State: 47:[45, 16], Operations: ['98-89=9', '7+9=16']
Exploring Operation: 45+16=61, Resulting Numbers: [61]
61,47 unequal: No Solution
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,47 unequal: No Solution
No solution found.
| 0 | hs_2 | mult_heuristic |
[
28,
55,
2,
37
] | 12 | [
"55-28=27",
"2+37=39",
"39-27=12"
] | Current State: 12:[28, 55, 2, 37], Operations: []
Exploring Operation: 55-28=27, Resulting Numbers: [2, 37, 27]
Generated Node #2: [2, 37, 27] from Operation: 55-28=27
Current State: 12:[2, 37, 27], Operations: ['55-28=27']
Exploring Operation: 2+37=39, Resulting Numbers: [27, 39]
Generated Node #3: [27, 39] from Operation: 2+37=39
Current State: 12:[27, 39], Operations: ['55-28=27', '2+37=39']
Exploring Operation: 39-27=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 | Current State: 12:[28, 55, 2, 37], Operations: []
Exploring Operation: 37-28=9, Resulting Numbers: [55, 2, 9]
Generated Node #0,0: 12:[55, 2, 9] Operation: 37-28=9
Exploring Operation: 28/2=14, Resulting Numbers: [55, 37, 14]
Generated Node #0,1: 12:[55, 37, 14] Operation: 28/2=14
Exploring Operation: 55-28=27, Resulting Numbers: [2, 37, 27]
Generated Node #0,2: 12:[2, 37, 27] Operation: 55-28=27
Exploring Operation: 55-37=18, Resulting Numbers: [28, 2, 18]
Generated Node #0,3: 12:[28, 2, 18] Operation: 55-37=18
Start Sub Search at level 1: Moving to Node #0,3
Current State: 12:[28, 2, 18], Operations: ['55-37=18']
Exploring Operation: 28-18=10, Resulting Numbers: [2, 10]
Generated Node #0,3,0: 12:[2, 10] Operation: 28-18=10
Exploring Operation: 18/2=9, Resulting Numbers: [28, 9]
Generated Node #0,3,1: 12:[28, 9] Operation: 18/2=9
Exploring Operation: 28-2=26, Resulting Numbers: [18, 26]
Generated Node #0,3,2: 12:[18, 26] Operation: 28-2=26
Exploring Operation: 28/2=14, Resulting Numbers: [18, 14]
Generated Node #0,3,3: 12:[18, 14] Operation: 28/2=14
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 12:[2, 10], Operations: ['55-37=18', '28-18=10']
Exploring Operation: 10/2=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 10-2=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 2*10=20, Resulting Numbers: [20]
20,12 unequal: No Solution
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[28, 55, 2, 37], Operations: []
Exploring Operation: 55-37=18, Resulting Numbers: [28, 2, 18]
Generated Node #0,3: 12:[28, 2, 18] Operation: 55-37=18
Moving to Node #0,3
Current State: 12:[28, 2, 18], Operations: ['55-37=18']
Exploring Operation: 28-18=10, Resulting Numbers: [2, 10]
Generated Node #0,3,0: 12:[2, 10] Operation: 28-18=10
Moving to Node #0,3,0
Current State: 12:[2, 10], Operations: ['55-37=18', '28-18=10']
Exploring Operation: 2+10=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111 | hs_4 | sum_heuristic |
[
70,
89,
48,
69
] | 38 | [
"48*69=3312",
"70+3312=3382",
"3382/89=38"
] | Current State: 38:[70, 89, 48, 69], Operations: []
Exploring Operation: 48*69=3312, Resulting Numbers: [70, 89, 3312]
Generated Node #2: [70, 89, 3312] from Operation: 48*69=3312
Current State: 38:[70, 89, 3312], Operations: ['48*69=3312']
Exploring Operation: 70+3312=3382, Resulting Numbers: [89, 3382]
Generated Node #3: [89, 3382] from Operation: 70+3312=3382
Current State: 38:[89, 3382], Operations: ['48*69=3312', '70+3312=3382']
Exploring Operation: 3382/89=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 | Current State: 38:[70, 89, 48, 69], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [48, 69, 19]
Generated Node #0,0: 38:[48, 69, 19] Operation: 89-70=19
Exploring Operation: 70-69=1, Resulting Numbers: [89, 48, 1]
Generated Node #0,1: 38:[89, 48, 1] Operation: 70-69=1
Exploring Operation: 89-69=20, Resulting Numbers: [70, 48, 20]
Generated Node #0,2: 38:[70, 48, 20] Operation: 89-69=20
Moving to Node #0,0
Current State: 38:[48, 69, 19], Operations: ['89-70=19']
Exploring Operation: 69-19=50, Resulting Numbers: [48, 50]
Generated Node #0,0,0: 38:[48, 50] Operation: 69-19=50
Exploring Operation: 48-19=29, Resulting Numbers: [69, 29]
Generated Node #0,0,1: 38:[69, 29] Operation: 48-19=29
Exploring Operation: 69-48=21, Resulting Numbers: [19, 21]
Generated Node #0,0,2: 38:[19, 21] Operation: 69-48=21
Moving to Node #0,2
Current State: 38:[70, 48, 20], Operations: ['89-69=20']
Exploring Operation: 48-20=28, Resulting Numbers: [70, 28]
Generated Node #0,2,0: 38:[70, 28] Operation: 48-20=28
Exploring Operation: 70-20=50, Resulting Numbers: [48, 50]
Generated Node #0,2,1: 38:[48, 50] Operation: 70-20=50
Exploring Operation: 70-48=22, Resulting Numbers: [20, 22]
Generated Node #0,2,2: 38:[20, 22] Operation: 70-48=22
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 38:[20, 22], Operations: ['89-69=20', '70-48=22']
Exploring Operation: 20*22=440, Resulting Numbers: [440]
440,38 unequal: No Solution
Exploring Operation: 20+22=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 22-20=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 38:[48, 50], Operations: ['89-69=20', '70-20=50']
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,38 unequal: No Solution
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,38 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,38 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 38:[70, 28], Operations: ['89-69=20', '48-20=28']
Exploring Operation: 70+28=98, Resulting Numbers: [98]
98,38 unequal: No Solution
Exploring Operation: 70*28=1960, Resulting Numbers: [1960]
1960,38 unequal: No Solution
Exploring Operation: 70-28=42, Resulting Numbers: [42]
42,38 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: 38:[89, 48, 1], Operations: ['70-69=1']
Exploring Operation: 89-1=88, Resulting Numbers: [48, 88]
Generated Node #0,1,0: 38:[48, 88] Operation: 89-1=88
Exploring Operation: 48-1=47, Resulting Numbers: [89, 47]
Generated Node #0,1,1: 38:[89, 47] Operation: 48-1=47
Exploring Operation: 89-48=41, Resulting Numbers: [1, 41]
Generated Node #0,1,2: 38:[1, 41] Operation: 89-48=41
Moving to Node #0,0,2
Current State: 38:[19, 21], Operations: ['89-70=19', '69-48=21']
Exploring Operation: 19*21=399, Resulting Numbers: [399]
399,38 unequal: No Solution
Exploring Operation: 19+21=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Moving to Node #0,1,2
Current State: 38:[1, 41], Operations: ['70-69=1', '89-48=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,38 unequal: No Solution
Moving to Node #0,0,0
Current State: 38:[48, 50], Operations: ['89-70=19', '69-19=50']
Exploring Operation: 48+50=98, Resulting Numbers: [98]
98,38 unequal: No Solution
Exploring Operation: 50-48=2, Resulting Numbers: [2]
2,38 unequal: No Solution
Exploring Operation: 48*50=2400, Resulting Numbers: [2400]
2400,38 unequal: No Solution
Moving to Node #0,0,1
Current State: 38:[69, 29], Operations: ['89-70=19', '48-19=29']
Exploring Operation: 69-29=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 69+29=98, Resulting Numbers: [98]
98,38 unequal: No Solution
Exploring Operation: 69*29=2001, Resulting Numbers: [2001]
2001,38 unequal: No Solution
Moving to Node #0,1,1
Current State: 38:[89, 47], Operations: ['70-69=1', '48-1=47']
Exploring Operation: 89*47=4183, Resulting Numbers: [4183]
4183,38 unequal: No Solution
Exploring Operation: 89-47=42, Resulting Numbers: [42]
42,38 unequal: No Solution
Exploring Operation: 89+47=136, Resulting Numbers: [136]
136,38 unequal: No Solution
Moving to Node #0,1,0
Current State: 38:[48, 88], Operations: ['70-69=1', '89-1=88']
Exploring Operation: 48*88=4224, Resulting Numbers: [4224]
4224,38 unequal: No Solution
Exploring Operation: 88-48=40, Resulting Numbers: [40]
40,38 unequal: No Solution
Exploring Operation: 48+88=136, Resulting Numbers: [136]
136,38 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
15,
15,
50,
65
] | 16 | [
"15/15=1",
"65-50=15",
"1+15=16"
] | Current State: 16:[15, 15, 50, 65], Operations: []
Exploring Operation: 15/15=1, Resulting Numbers: [50, 65, 1]
Generated Node #2: [50, 65, 1] from Operation: 15/15=1
Current State: 16:[50, 65, 1], Operations: ['15/15=1']
Exploring Operation: 65-50=15, Resulting Numbers: [1, 15]
Generated Node #3: [1, 15] from Operation: 65-50=15
Current State: 16:[1, 15], Operations: ['15/15=1', '65-50=15']
Exploring Operation: 1+15=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 | Current State: 16:[15, 15, 50, 65], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [15, 15, 15]
Generated Node #0,0: 16:[15, 15, 15] Operation: 65-50=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 16:[15, 15, 15], Operations: ['65-50=15']
Exploring Operation: 15/15=1, Resulting Numbers: [15, 1]
Generated Node #0,0,0: 16:[15, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 16:[15, 1], Operations: ['65-50=15', '15/15=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Moving to Node #0
Current State: 16:[15, 15, 50, 65], Operations: []
Exploring Operation: 65-50=15, Resulting Numbers: [15, 15, 15]
Generated Node #0,0: 16:[15, 15, 15] Operation: 65-50=15
Moving to Node #0,0
Current State: 16:[15, 15, 15], Operations: ['65-50=15']
Exploring Operation: 15/15=1, Resulting Numbers: [15, 1]
Generated Node #0,0,0: 16:[15, 1] Operation: 15/15=1
Moving to Node #0,0,0
Current State: 16:[15, 1], Operations: ['65-50=15', '15/15=1']
Exploring Operation: 15+1=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924 | hs_1 | sum_heuristic |
[
3,
62,
82,
50
] | 46 | [
"62-50=12",
"3*12=36",
"82-36=46"
] | Current State: 46:[3, 62, 82, 50], Operations: []
Exploring Operation: 62-50=12, Resulting Numbers: [3, 82, 12]
Generated Node #2: [3, 82, 12] from Operation: 62-50=12
Current State: 46:[3, 82, 12], Operations: ['62-50=12']
Exploring Operation: 3*12=36, Resulting Numbers: [82, 36]
Generated Node #3: [82, 36] from Operation: 3*12=36
Current State: 46:[82, 36], Operations: ['62-50=12', '3*12=36']
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 | Current State: 46:[3, 62, 82, 50], Operations: []
Exploring Operation: 82-50=32, Resulting Numbers: [3, 62, 32]
Generated Node #0,0: 46:[3, 62, 32] Operation: 82-50=32
Exploring Operation: 82-62=20, Resulting Numbers: [3, 50, 20]
Generated Node #0,1: 46:[3, 50, 20] Operation: 82-62=20
Exploring Operation: 62-50=12, Resulting Numbers: [3, 82, 12]
Generated Node #0,2: 46:[3, 82, 12] Operation: 62-50=12
Start Sub Search at level 1: Moving to Node #0,1
Current State: 46:[3, 50, 20], Operations: ['82-62=20']
Exploring Operation: 50-20=30, Resulting Numbers: [3, 30]
Generated Node #0,1,0: 46:[3, 30] Operation: 50-20=30
Exploring Operation: 50-3=47, Resulting Numbers: [20, 47]
Generated Node #0,1,1: 46:[20, 47] Operation: 50-3=47
Exploring Operation: 3+20=23, Resulting Numbers: [50, 23]
Generated Node #0,1,2: 46:[50, 23] Operation: 3+20=23
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 46:[20, 47], Operations: ['82-62=20', '50-3=47']
Exploring Operation: 20+47=67, Resulting Numbers: [67]
67,46 unequal: No Solution
Exploring Operation: 20*47=940, Resulting Numbers: [940]
940,46 unequal: No Solution
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 46:[50, 23], Operations: ['82-62=20', '3+20=23']
Exploring Operation: 50-23=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 50+23=73, Resulting Numbers: [73]
73,46 unequal: No Solution
Exploring Operation: 50*23=1150, Resulting Numbers: [1150]
1150,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 46:[3, 30], Operations: ['82-62=20', '50-20=30']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[3, 62, 32], Operations: ['82-50=32']
Exploring Operation: 62-32=30, Resulting Numbers: [3, 30]
Generated Node #0,0,0: 46:[3, 30] Operation: 62-32=30
Exploring Operation: 32-3=29, Resulting Numbers: [62, 29]
Generated Node #0,0,1: 46:[62, 29] Operation: 32-3=29
Exploring Operation: 62-3=59, Resulting Numbers: [32, 59]
Generated Node #0,0,2: 46:[32, 59] Operation: 62-3=59
Moving to Node #0,0,0
Current State: 46:[3, 30], Operations: ['82-50=32', '62-32=30']
Exploring Operation: 3+30=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,46 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Moving to Node #0,0,1
Current State: 46:[62, 29], Operations: ['82-50=32', '32-3=29']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,46 unequal: No Solution
Exploring Operation: 62*29=1798, Resulting Numbers: [1798]
1798,46 unequal: No Solution
Exploring Operation: 62+29=91, Resulting Numbers: [91]
91,46 unequal: No Solution
Moving to Node #0,0,2
Current State: 46:[32, 59], Operations: ['82-50=32', '62-3=59']
Exploring Operation: 32+59=91, Resulting Numbers: [91]
91,46 unequal: No Solution
Exploring Operation: 59-32=27, Resulting Numbers: [27]
27,46 unequal: No Solution
Exploring Operation: 32*59=1888, Resulting Numbers: [1888]
1888,46 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 46:[3, 82, 12], Operations: ['62-50=12']
Exploring Operation: 82-12=70, Resulting Numbers: [3, 70]
Generated Node #0,2,0: 46:[3, 70] Operation: 82-12=70
Exploring Operation: 82-3=79, Resulting Numbers: [12, 79]
Generated Node #0,2,1: 46:[12, 79] Operation: 82-3=79
Exploring Operation: 12/3=4, Resulting Numbers: [82, 4]
Generated Node #0,2,2: 46:[82, 4] Operation: 12/3=4
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 46:[3, 70], Operations: ['62-50=12', '82-12=70']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,46 unequal: No Solution
Exploring Operation: 3*70=210, Resulting Numbers: [210]
210,46 unequal: No Solution
Exploring Operation: 3+70=73, Resulting Numbers: [73]
73,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 46:[82, 4], Operations: ['62-50=12', '12/3=4']
Exploring Operation: 82*4=328, Resulting Numbers: [328]
328,46 unequal: No Solution
Exploring Operation: 82-4=78, Resulting Numbers: [78]
78,46 unequal: No Solution
Exploring Operation: 82+4=86, Resulting Numbers: [86]
86,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 46:[12, 79], Operations: ['62-50=12', '82-3=79']
Exploring Operation: 12+79=91, Resulting Numbers: [91]
91,46 unequal: No Solution
Exploring Operation: 79-12=67, Resulting Numbers: [67]
67,46 unequal: No Solution
Exploring Operation: 12*79=948, Resulting Numbers: [948]
948,46 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_3 | sum_heuristic |
[
45,
79,
70,
76
] | 75 | [
"70-45=25",
"79-76=3",
"25*3=75"
] | Current State: 75:[45, 79, 70, 76], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [79, 76, 25]
Generated Node #2: [79, 76, 25] from Operation: 70-45=25
Current State: 75:[79, 76, 25], Operations: ['70-45=25']
Exploring Operation: 79-76=3, Resulting Numbers: [25, 3]
Generated Node #3: [25, 3] from Operation: 79-76=3
Current State: 75:[25, 3], Operations: ['70-45=25', '79-76=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 | Current State: 75:[45, 79, 70, 76], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [79, 76, 25]
Generated Node #0,0: 75:[79, 76, 25] Operation: 70-45=25
Exploring Operation: 76-45=31, Resulting Numbers: [79, 70, 31]
Generated Node #0,1: 75:[79, 70, 31] Operation: 76-45=31
Exploring Operation: 79-45=34, Resulting Numbers: [70, 76, 34]
Generated Node #0,2: 75:[70, 76, 34] Operation: 79-45=34
Moving to Node #0,0
Current State: 75:[79, 76, 25], Operations: ['70-45=25']
Exploring Operation: 79-25=54, Resulting Numbers: [76, 54]
Generated Node #0,0,0: 75:[76, 54] Operation: 79-25=54
Exploring Operation: 79-76=3, Resulting Numbers: [25, 3]
Generated Node #0,0,1: 75:[25, 3] Operation: 79-76=3
Exploring Operation: 76-25=51, Resulting Numbers: [79, 51]
Generated Node #0,0,2: 75:[79, 51] Operation: 76-25=51
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 75:[25, 3], Operations: ['70-45=25', '79-76=3']
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,75 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Moving to Node #0
Current State: 75:[45, 79, 70, 76], Operations: []
Exploring Operation: 70-45=25, Resulting Numbers: [79, 76, 25]
Generated Node #0,0: 75:[79, 76, 25] Operation: 70-45=25
Moving to Node #0,0
Current State: 75:[79, 76, 25], Operations: ['70-45=25']
Exploring Operation: 79-76=3, Resulting Numbers: [25, 3]
Generated Node #0,0,1: 75:[25, 3] Operation: 79-76=3
Moving to Node #0,0,1
Current State: 75:[25, 3], Operations: ['70-45=25', '79-76=3']
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715 | hs_3 | mult_heuristic |
[
87,
6,
59,
8
] | 19 | [
"87+6=93",
"59+93=152",
"152/8=19"
] | Current State: 19:[87, 6, 59, 8], Operations: []
Exploring Operation: 87+6=93, Resulting Numbers: [59, 8, 93]
Generated Node #2: [59, 8, 93] from Operation: 87+6=93
Current State: 19:[59, 8, 93], Operations: ['87+6=93']
Exploring Operation: 59+93=152, Resulting Numbers: [8, 152]
Generated Node #3: [8, 152] from Operation: 59+93=152
Current State: 19:[8, 152], Operations: ['87+6=93', '59+93=152']
Exploring Operation: 152/8=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 | Current State: 19:[87, 6, 59, 8], Operations: []
Exploring Operation: 87-59=28, Resulting Numbers: [6, 8, 28]
Generated Node #0,0: 19:[6, 8, 28] Operation: 87-59=28
Moving to Node #0,0
Current State: 19:[6, 8, 28], Operations: ['87-59=28']
Exploring Operation: 6+8=14, Resulting Numbers: [28, 14]
Generated Node #0,0,0: 19:[28, 14] Operation: 6+8=14
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 19:[28, 14], Operations: ['87-59=28', '6+8=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | mult_heuristic |
[
14,
76,
57,
30
] | 54 | [
"14+76=90",
"90/30=3",
"57-3=54"
] | Current State: 54:[14, 76, 57, 30], Operations: []
Exploring Operation: 14+76=90, Resulting Numbers: [57, 30, 90]
Generated Node #2: [57, 30, 90] from Operation: 14+76=90
Current State: 54:[57, 30, 90], Operations: ['14+76=90']
Exploring Operation: 90/30=3, Resulting Numbers: [57, 3]
Generated Node #3: [57, 3] from Operation: 90/30=3
Current State: 54:[57, 3], Operations: ['14+76=90', '90/30=3']
Exploring Operation: 57-3=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 | Current State: 54:[14, 76, 57, 30], Operations: []
Exploring Operation: 57-30=27, Resulting Numbers: [14, 76, 27]
Generated Node #0,0: 54:[14, 76, 27] Operation: 57-30=27
Exploring Operation: 76-57=19, Resulting Numbers: [14, 30, 19]
Generated Node #0,1: 54:[14, 30, 19] Operation: 76-57=19
Exploring Operation: 76-30=46, Resulting Numbers: [14, 57, 46]
Generated Node #0,2: 54:[14, 57, 46] Operation: 76-30=46
Exploring Operation: 76-14=62, Resulting Numbers: [57, 30, 62]
Generated Node #0,3: 54:[57, 30, 62] Operation: 76-14=62
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[14, 30, 19], Operations: ['76-57=19']
Exploring Operation: 19-14=5, Resulting Numbers: [30, 5]
Generated Node #0,1,0: 54:[30, 5] Operation: 19-14=5
Exploring Operation: 30-14=16, Resulting Numbers: [19, 16]
Generated Node #0,1,1: 54:[19, 16] Operation: 30-14=16
Exploring Operation: 30-19=11, Resulting Numbers: [14, 11]
Generated Node #0,1,2: 54:[14, 11] Operation: 30-19=11
Exploring Operation: 14+19=33, Resulting Numbers: [30, 33]
Generated Node #0,1,3: 54:[30, 33] Operation: 14+19=33
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 54:[19, 16], Operations: ['76-57=19', '30-14=16']
Exploring Operation: 19*16=304, Resulting Numbers: [304]
304,54 unequal: No Solution
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 19-16=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 54:[30, 5], Operations: ['76-57=19', '19-14=5']
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,54 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 54:[14, 11], Operations: ['76-57=19', '30-19=11']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,54 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 54:[30, 33], Operations: ['76-57=19', '14+19=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,54 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 54:[57, 30, 62], Operations: ['76-14=62']
Exploring Operation: 57-30=27, Resulting Numbers: [62, 27]
Generated Node #0,3,0: 54:[62, 27] Operation: 57-30=27
Exploring Operation: 62-30=32, Resulting Numbers: [57, 32]
Generated Node #0,3,1: 54:[57, 32] Operation: 62-30=32
Exploring Operation: 57+30=87, Resulting Numbers: [62, 87]
Generated Node #0,3,2: 54:[62, 87] Operation: 57+30=87
Exploring Operation: 62-57=5, Resulting Numbers: [30, 5]
Generated Node #0,3,3: 54:[30, 5] Operation: 62-57=5
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 54:[30, 5], Operations: ['76-14=62', '62-57=5']
Exploring Operation: 30*5=150, Resulting Numbers: [150]
150,54 unequal: No Solution
Exploring Operation: 30-5=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 30+5=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 30/5=6, Resulting Numbers: [6]
6,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 54:[62, 27], Operations: ['76-14=62', '57-30=27']
Exploring Operation: 62*27=1674, Resulting Numbers: [1674]
1674,54 unequal: No Solution
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 62+27=89, Resulting Numbers: [89]
89,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 54:[57, 32], Operations: ['76-14=62', '62-30=32']
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 54:[62, 87], Operations: ['76-14=62', '57+30=87']
Exploring Operation: 62+87=149, Resulting Numbers: [149]
149,54 unequal: No Solution
Exploring Operation: 87-62=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 62*87=5394, Resulting Numbers: [5394]
5394,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 54:[14, 57, 46], Operations: ['76-30=46']
Exploring Operation: 57-14=43, Resulting Numbers: [46, 43]
Generated Node #0,2,0: 54:[46, 43] Operation: 57-14=43
Exploring Operation: 57-46=11, Resulting Numbers: [14, 11]
Generated Node #0,2,1: 54:[14, 11] Operation: 57-46=11
Exploring Operation: 46-14=32, Resulting Numbers: [57, 32]
Generated Node #0,2,2: 54:[57, 32] Operation: 46-14=32
Exploring Operation: 14+46=60, Resulting Numbers: [57, 60]
Generated Node #0,2,3: 54:[57, 60] Operation: 14+46=60
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 54:[14, 11], Operations: ['76-30=46', '57-46=11']
Exploring Operation: 14*11=154, Resulting Numbers: [154]
154,54 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 54:[57, 32], Operations: ['76-30=46', '46-14=32']
Exploring Operation: 57*32=1824, Resulting Numbers: [1824]
1824,54 unequal: No Solution
Exploring Operation: 57-32=25, Resulting Numbers: [25]
25,54 unequal: No Solution
Exploring Operation: 57+32=89, Resulting Numbers: [89]
89,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 54:[57, 60], Operations: ['76-30=46', '14+46=60']
Exploring Operation: 57*60=3420, Resulting Numbers: [3420]
3420,54 unequal: No Solution
Exploring Operation: 57+60=117, Resulting Numbers: [117]
117,54 unequal: No Solution
Exploring Operation: 60-57=3, Resulting Numbers: [3]
3,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 54:[46, 43], Operations: ['76-30=46', '57-14=43']
Exploring Operation: 46*43=1978, Resulting Numbers: [1978]
1978,54 unequal: No Solution
Exploring Operation: 46-43=3, Resulting Numbers: [3]
3,54 unequal: No Solution
Exploring Operation: 46+43=89, Resulting Numbers: [89]
89,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 54:[14, 76, 27], Operations: ['57-30=27']
Exploring Operation: 14+27=41, Resulting Numbers: [76, 41]
Generated Node #0,0,0: 54:[76, 41] Operation: 14+27=41
Exploring Operation: 76-27=49, Resulting Numbers: [14, 49]
Generated Node #0,0,1: 54:[14, 49] Operation: 76-27=49
Exploring Operation: 76-14=62, Resulting Numbers: [27, 62]
Generated Node #0,0,2: 54:[27, 62] Operation: 76-14=62
Exploring Operation: 27-14=13, Resulting Numbers: [76, 13]
Generated Node #0,0,3: 54:[76, 13] Operation: 27-14=13
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 54:[27, 62], Operations: ['57-30=27', '76-14=62']
Exploring Operation: 27+62=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 27*62=1674, Resulting Numbers: [1674]
1674,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 54:[14, 49], Operations: ['57-30=27', '76-27=49']
Exploring Operation: 49-14=35, Resulting Numbers: [35]
35,54 unequal: No Solution
Exploring Operation: 14+49=63, Resulting Numbers: [63]
63,54 unequal: No Solution
Exploring Operation: 14*49=686, Resulting Numbers: [686]
686,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 54:[76, 13], Operations: ['57-30=27', '27-14=13']
Exploring Operation: 76*13=988, Resulting Numbers: [988]
988,54 unequal: No Solution
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,54 unequal: No Solution
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 54:[76, 41], Operations: ['57-30=27', '14+27=41']
Exploring Operation: 76*41=3116, Resulting Numbers: [3116]
3116,54 unequal: No Solution
Exploring Operation: 76+41=117, Resulting Numbers: [117]
117,54 unequal: No Solution
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,54 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
61,
35,
3,
46
] | 88 | [
"35+46=81",
"81/3=27",
"61+27=88"
] | Current State: 88:[61, 35, 3, 46], Operations: []
Exploring Operation: 35+46=81, Resulting Numbers: [61, 3, 81]
Generated Node #2: [61, 3, 81] from Operation: 35+46=81
Current State: 88:[61, 3, 81], Operations: ['35+46=81']
Exploring Operation: 81/3=27, Resulting Numbers: [61, 27]
Generated Node #3: [61, 27] from Operation: 81/3=27
Current State: 88:[61, 27], Operations: ['35+46=81', '81/3=27']
Exploring Operation: 61+27=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 | Current State: 88:[61, 35, 3, 46], Operations: []
Exploring Operation: 61-35=26, Resulting Numbers: [3, 46, 26]
Generated Node #0,0: 88:[3, 46, 26] Operation: 61-35=26
Start Sub Search at level 1: Moving to Node #0,0
Current State: 88:[3, 46, 26], Operations: ['61-35=26']
Exploring Operation: 26-3=23, Resulting Numbers: [46, 23]
Generated Node #0,0,0: 88:[46, 23] Operation: 26-3=23
Moving to Node #0,0,0
Current State: 88:[46, 23], Operations: ['61-35=26', '26-3=23']
Exploring Operation: 46/23=2, Resulting Numbers: [2]
2,88 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 |
[
44,
49,
74,
71
] | 76 | [
"71-49=22",
"44/22=2",
"74+2=76"
] | Current State: 76:[44, 49, 74, 71], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [44, 74, 22]
Generated Node #2: [44, 74, 22] from Operation: 71-49=22
Current State: 76:[44, 74, 22], Operations: ['71-49=22']
Exploring Operation: 44/22=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 44/22=2
Current State: 76:[74, 2], Operations: ['71-49=22', '44/22=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[44, 49, 74, 71], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [44, 74, 22]
Generated Node #0,0: 76:[44, 74, 22] Operation: 71-49=22
Exploring Operation: 49-44=5, Resulting Numbers: [74, 71, 5]
Generated Node #0,1: 76:[74, 71, 5] Operation: 49-44=5
Exploring Operation: 74-49=25, Resulting Numbers: [44, 71, 25]
Generated Node #0,2: 76:[44, 71, 25] Operation: 74-49=25
Moving to Node #0,1
Current State: 76:[74, 71, 5], Operations: ['49-44=5']
Exploring Operation: 74-71=3, Resulting Numbers: [5, 3]
Generated Node #0,1,0: 76:[5, 3] Operation: 74-71=3
Exploring Operation: 74+5=79, Resulting Numbers: [71, 79]
Generated Node #0,1,1: 76:[71, 79] Operation: 74+5=79
Exploring Operation: 71+5=76, Resulting Numbers: [74, 76]
Generated Node #0,1,2: 76:[74, 76] Operation: 71+5=76
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 76:[5, 3], Operations: ['49-44=5', '74-71=3']
Exploring Operation: 5+3=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 5*3=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 5-3=2, Resulting Numbers: [2]
2,76 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:[74, 76], Operations: ['49-44=5', '71+5=76']
Exploring Operation: 76-74=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 74+76=150, Resulting Numbers: [150]
150,76 unequal: No Solution
Exploring Operation: 74*76=5624, Resulting Numbers: [5624]
5624,76 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:[71, 79], Operations: ['49-44=5', '74+5=79']
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,76 unequal: No Solution
Exploring Operation: 71+79=150, Resulting Numbers: [150]
150,76 unequal: No Solution
Exploring Operation: 71*79=5609, Resulting Numbers: [5609]
5609,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 76:[44, 74, 22], Operations: ['71-49=22']
Exploring Operation: 44-22=22, Resulting Numbers: [74, 22]
Generated Node #0,0,0: 76:[74, 22] Operation: 44-22=22
Exploring Operation: 74-44=30, Resulting Numbers: [22, 30]
Generated Node #0,0,1: 76:[22, 30] Operation: 74-44=30
Exploring Operation: 44/22=2, Resulting Numbers: [74, 2]
Generated Node #0,0,2: 76:[74, 2] Operation: 44/22=2
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 76:[74, 2], Operations: ['71-49=22', '44/22=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,76 unequal: No Solution
Exploring Operation: 74-2=72, Resulting Numbers: [72]
72,76 unequal: No Solution
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Moving to Node #0
Current State: 76:[44, 49, 74, 71], Operations: []
Exploring Operation: 71-49=22, Resulting Numbers: [44, 74, 22]
Generated Node #0,0: 76:[44, 74, 22] Operation: 71-49=22
Moving to Node #0,0
Current State: 76:[44, 74, 22], Operations: ['71-49=22']
Exploring Operation: 44/22=2, Resulting Numbers: [74, 2]
Generated Node #0,0,2: 76:[74, 2] Operation: 44/22=2
Moving to Node #0,0,2
Current State: 76:[74, 2], Operations: ['71-49=22', '44/22=2']
Exploring Operation: 74+2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299 | hs_3 | mult_heuristic |
[
77,
99,
93,
31
] | 40 | [
"99-77=22",
"93-31=62",
"62-22=40"
] | Current State: 40:[77, 99, 93, 31], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [93, 31, 22]
Generated Node #2: [93, 31, 22] from Operation: 99-77=22
Current State: 40:[93, 31, 22], Operations: ['99-77=22']
Exploring Operation: 93-31=62, Resulting Numbers: [22, 62]
Generated Node #3: [22, 62] from Operation: 93-31=62
Current State: 40:[22, 62], Operations: ['99-77=22', '93-31=62']
Exploring Operation: 62-22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 | Current State: 40:[77, 99, 93, 31], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [93, 31, 22]
Generated Node #0,0: 40:[93, 31, 22] Operation: 99-77=22
Exploring Operation: 99-93=6, Resulting Numbers: [77, 31, 6]
Generated Node #0,1: 40:[77, 31, 6] Operation: 99-93=6
Start Sub Search at level 1: Moving to Node #0,1
Current State: 40:[77, 31, 6], Operations: ['99-93=6']
Exploring Operation: 77-31=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 40:[6, 46] Operation: 77-31=46
Exploring Operation: 77-6=71, Resulting Numbers: [31, 71]
Generated Node #0,1,1: 40:[31, 71] Operation: 77-6=71
Moving to Node #0,1,0
Current State: 40:[6, 46], Operations: ['99-93=6', '77-31=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Moving to Node #0
Current State: 40:[77, 99, 93, 31], Operations: []
Exploring Operation: 99-93=6, Resulting Numbers: [77, 31, 6]
Generated Node #0,1: 40:[77, 31, 6] Operation: 99-93=6
Moving to Node #0,1
Current State: 40:[77, 31, 6], Operations: ['99-93=6']
Exploring Operation: 77-31=46, Resulting Numbers: [6, 46]
Generated Node #0,1,0: 40:[6, 46] Operation: 77-31=46
Moving to Node #0,1,0
Current State: 40:[6, 46], Operations: ['99-93=6', '77-31=46']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | sum_heuristic |
[
19,
44,
28,
49
] | 58 | [
"44*49=2156",
"2156/28=77",
"77-19=58"
] | Current State: 58:[19, 44, 28, 49], Operations: []
Exploring Operation: 44*49=2156, Resulting Numbers: [19, 28, 2156]
Generated Node #2: [19, 28, 2156] from Operation: 44*49=2156
Current State: 58:[19, 28, 2156], Operations: ['44*49=2156']
Exploring Operation: 2156/28=77, Resulting Numbers: [19, 77]
Generated Node #3: [19, 77] from Operation: 2156/28=77
Current State: 58:[19, 77], Operations: ['44*49=2156', '2156/28=77']
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[19, 44, 28, 49], Operations: []
Exploring Operation: 44-19=25, Resulting Numbers: [28, 49, 25]
Generated Node #0,0: 58:[28, 49, 25] Operation: 44-19=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[28, 49, 25], Operations: ['44-19=25']
Exploring Operation: 49-25=24, Resulting Numbers: [28, 24]
Generated Node #0,0,0: 58:[28, 24] Operation: 49-25=24
Moving to Node #0,0,0
Current State: 58:[28, 24], Operations: ['44-19=25', '49-25=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,58 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 |
[
86,
66,
30,
88
] | 48 | [
"88-86=2",
"66+30=96",
"96/2=48"
] | Current State: 48:[86, 66, 30, 88], Operations: []
Exploring Operation: 88-86=2, Resulting Numbers: [66, 30, 2]
Generated Node #2: [66, 30, 2] from Operation: 88-86=2
Current State: 48:[66, 30, 2], Operations: ['88-86=2']
Exploring Operation: 66+30=96, Resulting Numbers: [2, 96]
Generated Node #3: [2, 96] from Operation: 66+30=96
Current State: 48:[2, 96], Operations: ['88-86=2', '66+30=96']
Exploring Operation: 96/2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 | Current State: 48:[86, 66, 30, 88], Operations: []
Exploring Operation: 86-30=56, Resulting Numbers: [66, 88, 56]
Generated Node #0,0: 48:[66, 88, 56] Operation: 86-30=56
Exploring Operation: 86-66=20, Resulting Numbers: [30, 88, 20]
Generated Node #0,1: 48:[30, 88, 20] Operation: 86-66=20
Exploring Operation: 88-66=22, Resulting Numbers: [86, 30, 22]
Generated Node #0,2: 48:[86, 30, 22] Operation: 88-66=22
Exploring Operation: 88-86=2, Resulting Numbers: [66, 30, 2]
Generated Node #0,3: 48:[66, 30, 2] Operation: 88-86=2
Moving to Node #0,3
Current State: 48:[66, 30, 2], Operations: ['88-86=2']
Exploring Operation: 66-30=36, Resulting Numbers: [2, 36]
Generated Node #0,3,0: 48:[2, 36] Operation: 66-30=36
Exploring Operation: 66-2=64, Resulting Numbers: [30, 64]
Generated Node #0,3,1: 48:[30, 64] Operation: 66-2=64
Exploring Operation: 66/2=33, Resulting Numbers: [30, 33]
Generated Node #0,3,2: 48:[30, 33] Operation: 66/2=33
Exploring Operation: 30/2=15, Resulting Numbers: [66, 15]
Generated Node #0,3,3: 48:[66, 15] Operation: 30/2=15
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 48:[2, 36], Operations: ['88-86=2', '66-30=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,48 unequal: No Solution
Exploring Operation: 36-2=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 2+36=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 48:[30, 33], Operations: ['88-86=2', '66/2=33']
Exploring Operation: 33-30=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 30+33=63, Resulting Numbers: [63]
63,48 unequal: No Solution
Exploring Operation: 30*33=990, Resulting Numbers: [990]
990,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 48:[66, 15], Operations: ['88-86=2', '30/2=15']
Exploring Operation: 66-15=51, Resulting Numbers: [51]
51,48 unequal: No Solution
Exploring Operation: 66*15=990, Resulting Numbers: [990]
990,48 unequal: No Solution
Exploring Operation: 66+15=81, Resulting Numbers: [81]
81,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 48:[30, 64], Operations: ['88-86=2', '66-2=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,48 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: 48:[86, 30, 22], Operations: ['88-66=22']
Exploring Operation: 30+22=52, Resulting Numbers: [86, 52]
Generated Node #0,2,0: 48:[86, 52] Operation: 30+22=52
Exploring Operation: 30-22=8, Resulting Numbers: [86, 8]
Generated Node #0,2,1: 48:[86, 8] Operation: 30-22=8
Exploring Operation: 86-30=56, Resulting Numbers: [22, 56]
Generated Node #0,2,2: 48:[22, 56] Operation: 86-30=56
Exploring Operation: 86-22=64, Resulting Numbers: [30, 64]
Generated Node #0,2,3: 48:[30, 64] Operation: 86-22=64
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 48:[22, 56], Operations: ['88-66=22', '86-30=56']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 22*56=1232, Resulting Numbers: [1232]
1232,48 unequal: No Solution
Exploring Operation: 22+56=78, Resulting Numbers: [78]
78,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 48:[30, 64], Operations: ['88-66=22', '86-22=64']
Exploring Operation: 30+64=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 30*64=1920, Resulting Numbers: [1920]
1920,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 48:[86, 8], Operations: ['88-66=22', '30-22=8']
Exploring Operation: 86+8=94, Resulting Numbers: [94]
94,48 unequal: No Solution
Exploring Operation: 86*8=688, Resulting Numbers: [688]
688,48 unequal: No Solution
Exploring Operation: 86-8=78, Resulting Numbers: [78]
78,48 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 48:[86, 52], Operations: ['88-66=22', '30+22=52']
Exploring Operation: 86-52=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 86*52=4472, Resulting Numbers: [4472]
4472,48 unequal: No Solution
Exploring Operation: 86+52=138, Resulting Numbers: [138]
138,48 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: 48:[30, 88, 20], Operations: ['86-66=20']
Exploring Operation: 30-20=10, Resulting Numbers: [88, 10]
Generated Node #0,1,0: 48:[88, 10] Operation: 30-20=10
Exploring Operation: 88-20=68, Resulting Numbers: [30, 68]
Generated Node #0,1,1: 48:[30, 68] Operation: 88-20=68
Exploring Operation: 30+20=50, Resulting Numbers: [88, 50]
Generated Node #0,1,2: 48:[88, 50] Operation: 30+20=50
Exploring Operation: 88-30=58, Resulting Numbers: [20, 58]
Generated Node #0,1,3: 48:[20, 58] Operation: 88-30=58
Moving to Node #0,0
Current State: 48:[66, 88, 56], Operations: ['86-30=56']
Exploring Operation: 66+88=154, Resulting Numbers: [56, 154]
Generated Node #0,0,0: 48:[56, 154] Operation: 66+88=154
Exploring Operation: 88-56=32, Resulting Numbers: [66, 32]
Generated Node #0,0,1: 48:[66, 32] Operation: 88-56=32
Exploring Operation: 66-56=10, Resulting Numbers: [88, 10]
Generated Node #0,0,2: 48:[88, 10] Operation: 66-56=10
Exploring Operation: 88-66=22, Resulting Numbers: [56, 22]
Generated Node #0,0,3: 48:[56, 22] Operation: 88-66=22
Moving to Node #0,0,3
Current State: 48:[56, 22], Operations: ['86-30=56', '88-66=22']
Exploring Operation: 56-22=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 56*22=1232, Resulting Numbers: [1232]
1232,48 unequal: No Solution
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Moving to Node #0,1,3
Current State: 48:[20, 58], Operations: ['86-66=20', '88-30=58']
Exploring Operation: 20+58=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Exploring Operation: 20*58=1160, Resulting Numbers: [1160]
1160,48 unequal: No Solution
Exploring Operation: 58-20=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[66, 32], Operations: ['86-30=56', '88-56=32']
Exploring Operation: 66+32=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Exploring Operation: 66-32=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 66*32=2112, Resulting Numbers: [2112]
2112,48 unequal: No Solution
Moving to Node #0,1,1
Current State: 48:[30, 68], Operations: ['86-66=20', '88-20=68']
Exploring Operation: 68-30=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Exploring Operation: 30*68=2040, Resulting Numbers: [2040]
2040,48 unequal: No Solution
Exploring Operation: 30+68=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Moving to Node #0,1,0
Current State: 48:[88, 10], Operations: ['86-66=20', '30-20=10']
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,48 unequal: No Solution
Moving to Node #0,1,2
Current State: 48:[88, 50], Operations: ['86-66=20', '30+20=50']
Exploring Operation: 88+50=138, Resulting Numbers: [138]
138,48 unequal: No Solution
Exploring Operation: 88*50=4400, Resulting Numbers: [4400]
4400,48 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,48 unequal: No Solution
Moving to Node #0,0,2
Current State: 48:[88, 10], Operations: ['86-30=56', '66-56=10']
Exploring Operation: 88-10=78, Resulting Numbers: [78]
78,48 unequal: No Solution
Exploring Operation: 88*10=880, Resulting Numbers: [880]
880,48 unequal: No Solution
Exploring Operation: 88+10=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Moving to Node #0,0,0
Current State: 48:[56, 154], Operations: ['86-30=56', '66+88=154']
Exploring Operation: 56+154=210, Resulting Numbers: [210]
210,48 unequal: No Solution
Exploring Operation: 154-56=98, Resulting Numbers: [98]
98,48 unequal: No Solution
Exploring Operation: 56*154=8624, Resulting Numbers: [8624]
8624,48 unequal: No Solution
No solution found.
| 0 | hs_4 | mult_heuristic |
[
71,
42,
85,
31
] | 87 | [
"71-42=29",
"85+31=116",
"116-29=87"
] | Current State: 87:[71, 42, 85, 31], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [85, 31, 29]
Generated Node #2: [85, 31, 29] from Operation: 71-42=29
Current State: 87:[85, 31, 29], Operations: ['71-42=29']
Exploring Operation: 85+31=116, Resulting Numbers: [29, 116]
Generated Node #3: [29, 116] from Operation: 85+31=116
Current State: 87:[29, 116], Operations: ['71-42=29', '85+31=116']
Exploring Operation: 116-29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 | Current State: 87:[71, 42, 85, 31], Operations: []
Exploring Operation: 85-71=14, Resulting Numbers: [42, 31, 14]
Generated Node #0,0: 87:[42, 31, 14] Operation: 85-71=14
Exploring Operation: 71-42=29, Resulting Numbers: [85, 31, 29]
Generated Node #0,1: 87:[85, 31, 29] Operation: 71-42=29
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[85, 31, 29], Operations: ['71-42=29']
Exploring Operation: 85-31=54, Resulting Numbers: [29, 54]
Generated Node #0,1,0: 87:[29, 54] Operation: 85-31=54
Exploring Operation: 31-29=2, Resulting Numbers: [85, 2]
Generated Node #0,1,1: 87:[85, 2] Operation: 31-29=2
Moving to Node #0,1,1
Current State: 87:[85, 2], Operations: ['71-42=29', '31-29=2']
Exploring Operation: 85-2=83, Resulting Numbers: [83]
83,87 unequal: No Solution
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Moving to Node #0
Current State: 87:[71, 42, 85, 31], Operations: []
Exploring Operation: 71-42=29, Resulting Numbers: [85, 31, 29]
Generated Node #0,1: 87:[85, 31, 29] Operation: 71-42=29
Moving to Node #0,1
Current State: 87:[85, 31, 29], Operations: ['71-42=29']
Exploring Operation: 31-29=2, Resulting Numbers: [85, 2]
Generated Node #0,1,1: 87:[85, 2] Operation: 31-29=2
Moving to Node #0,1,1
Current State: 87:[85, 2], Operations: ['71-42=29', '31-29=2']
Exploring Operation: 85+2=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319 | hs_2 | mult_heuristic |
[
50,
89,
87,
67
] | 33 | [
"89-87=2",
"50*2=100",
"100-67=33"
] | Current State: 33:[50, 89, 87, 67], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [50, 67, 2]
Generated Node #2: [50, 67, 2] from Operation: 89-87=2
Current State: 33:[50, 67, 2], Operations: ['89-87=2']
Exploring Operation: 50*2=100, Resulting Numbers: [67, 100]
Generated Node #3: [67, 100] from Operation: 50*2=100
Current State: 33:[67, 100], Operations: ['89-87=2', '50*2=100']
Exploring Operation: 100-67=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 | Current State: 33:[50, 89, 87, 67], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [50, 67, 2]
Generated Node #0,0: 33:[50, 67, 2] Operation: 89-87=2
Moving to Node #0,0
Current State: 33:[50, 67, 2], Operations: ['89-87=2']
Exploring Operation: 67-50=17, Resulting Numbers: [2, 17]
Generated Node #0,0,0: 33:[2, 17] Operation: 67-50=17
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 33:[2, 17], Operations: ['89-87=2', '67-50=17']
Exploring Operation: 2*17=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 |
[
23,
82,
18,
35
] | 89 | [
"23-18=5",
"35/5=7",
"82+7=89"
] | Current State: 89:[23, 82, 18, 35], Operations: []
Exploring Operation: 23-18=5, Resulting Numbers: [82, 35, 5]
Generated Node #2: [82, 35, 5] from Operation: 23-18=5
Current State: 89:[82, 35, 5], Operations: ['23-18=5']
Exploring Operation: 35/5=7, Resulting Numbers: [82, 7]
Generated Node #3: [82, 7] from Operation: 35/5=7
Current State: 89:[82, 7], Operations: ['23-18=5', '35/5=7']
Exploring Operation: 82+7=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 | Current State: 89:[23, 82, 18, 35], Operations: []
Exploring Operation: 23+35=58, Resulting Numbers: [82, 18, 58]
Generated Node #0,0: 89:[82, 18, 58] Operation: 23+35=58
Exploring Operation: 23+18=41, Resulting Numbers: [82, 35, 41]
Generated Node #0,1: 89:[82, 35, 41] Operation: 23+18=41
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[82, 18, 58], Operations: ['23+35=58']
Exploring Operation: 18+58=76, Resulting Numbers: [82, 76]
Generated Node #0,0,0: 89:[82, 76] Operation: 18+58=76
Exploring Operation: 82+18=100, Resulting Numbers: [58, 100]
Generated Node #0,0,1: 89:[58, 100] Operation: 82+18=100
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 89:[82, 76], Operations: ['23+35=58', '18+58=76']
Exploring Operation: 82+76=158, Resulting Numbers: [158]
158,89 unequal: No Solution
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 89:[58, 100], Operations: ['23+35=58', '82+18=100']
Exploring Operation: 100-58=42, Resulting Numbers: [42]
42,89 unequal: No Solution
Exploring Operation: 58+100=158, Resulting Numbers: [158]
158,89 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 89:[82, 35, 41], Operations: ['23+18=41']
Exploring Operation: 82+35=117, Resulting Numbers: [41, 117]
Generated Node #0,1,0: 89:[41, 117] Operation: 82+35=117
Exploring Operation: 35+41=76, Resulting Numbers: [82, 76]
Generated Node #0,1,1: 89:[82, 76] Operation: 35+41=76
Moving to Node #0,1,1
Current State: 89:[82, 76], Operations: ['23+18=41', '35+41=76']
Exploring Operation: 82-76=6, Resulting Numbers: [6]
6,89 unequal: No Solution
Exploring Operation: 82+76=158, Resulting Numbers: [158]
158,89 unequal: No Solution
Moving to Node #0,1,0
Current State: 89:[41, 117], Operations: ['23+18=41', '82+35=117']
Exploring Operation: 41+117=158, Resulting Numbers: [158]
158,89 unequal: No Solution
Exploring Operation: 117-41=76, Resulting Numbers: [76]
76,89 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_2 | sum_heuristic |
[
42,
40,
19,
27
] | 35 | [
"42-40=2",
"27*2=54",
"54-19=35"
] | Current State: 35:[42, 40, 19, 27], Operations: []
Exploring Operation: 42-40=2, Resulting Numbers: [19, 27, 2]
Generated Node #2: [19, 27, 2] from Operation: 42-40=2
Current State: 35:[19, 27, 2], Operations: ['42-40=2']
Exploring Operation: 27*2=54, Resulting Numbers: [19, 54]
Generated Node #3: [19, 54] from Operation: 27*2=54
Current State: 35:[19, 54], Operations: ['42-40=2', '27*2=54']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 | Current State: 35:[42, 40, 19, 27], Operations: []
Exploring Operation: 27-19=8, Resulting Numbers: [42, 40, 8]
Generated Node #0,0: 35:[42, 40, 8] Operation: 27-19=8
Exploring Operation: 19+27=46, Resulting Numbers: [42, 40, 46]
Generated Node #0,1: 35:[42, 40, 46] Operation: 19+27=46
Exploring Operation: 42-19=23, Resulting Numbers: [40, 27, 23]
Generated Node #0,2: 35:[40, 27, 23] Operation: 42-19=23
Exploring Operation: 42-40=2, Resulting Numbers: [19, 27, 2]
Generated Node #0,3: 35:[19, 27, 2] Operation: 42-40=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 35:[42, 40, 8], Operations: ['27-19=8']
Exploring Operation: 40/8=5, Resulting Numbers: [42, 5]
Generated Node #0,0,0: 35:[42, 5] Operation: 40/8=5
Exploring Operation: 40-8=32, Resulting Numbers: [42, 32]
Generated Node #0,0,1: 35:[42, 32] Operation: 40-8=32
Exploring Operation: 42-40=2, Resulting Numbers: [8, 2]
Generated Node #0,0,2: 35:[8, 2] Operation: 42-40=2
Exploring Operation: 42-8=34, Resulting Numbers: [40, 34]
Generated Node #0,0,3: 35:[40, 34] Operation: 42-8=34
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[8, 2], Operations: ['27-19=8', '42-40=2']
Exploring Operation: 8*2=16, Resulting Numbers: [16]
16,35 unequal: No Solution
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[40, 34], Operations: ['27-19=8', '42-8=34']
Exploring Operation: 40-34=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 40+34=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 40*34=1360, Resulting Numbers: [1360]
1360,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[42, 5], Operations: ['27-19=8', '40/8=5']
Exploring Operation: 42*5=210, Resulting Numbers: [210]
210,35 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,35 unequal: No Solution
Exploring Operation: 42+5=47, Resulting Numbers: [47]
47,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[42, 32], Operations: ['27-19=8', '40-8=32']
Exploring Operation: 42-32=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 42+32=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 42*32=1344, Resulting Numbers: [1344]
1344,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[42, 40, 46], Operations: ['19+27=46']
Exploring Operation: 46-40=6, Resulting Numbers: [42, 6]
Generated Node #0,1,0: 35:[42, 6] Operation: 46-40=6
Exploring Operation: 46-42=4, Resulting Numbers: [40, 4]
Generated Node #0,1,1: 35:[40, 4] Operation: 46-42=4
Exploring Operation: 42-40=2, Resulting Numbers: [46, 2]
Generated Node #0,1,2: 35:[46, 2] Operation: 42-40=2
Exploring Operation: 42+40=82, Resulting Numbers: [46, 82]
Generated Node #0,1,3: 35:[46, 82] Operation: 42+40=82
Moving to Node #0,1,1
Current State: 35:[40, 4], Operations: ['19+27=46', '46-42=4']
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[42, 6], Operations: ['19+27=46', '46-40=6']
Exploring Operation: 42*6=252, Resulting Numbers: [252]
252,35 unequal: No Solution
Exploring Operation: 42+6=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 42/6=7, Resulting Numbers: [7]
7,35 unequal: No Solution
Exploring Operation: 42-6=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[46, 2], Operations: ['19+27=46', '42-40=2']
Exploring Operation: 46*2=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 46+2=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[46, 82], Operations: ['19+27=46', '42+40=82']
Exploring Operation: 46*82=3772, Resulting Numbers: [3772]
3772,35 unequal: No Solution
Exploring Operation: 46+82=128, Resulting Numbers: [128]
128,35 unequal: No Solution
Exploring Operation: 82-46=36, Resulting Numbers: [36]
36,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 35:[19, 27, 2], Operations: ['42-40=2']
Exploring Operation: 27-19=8, Resulting Numbers: [2, 8]
Generated Node #0,3,0: 35:[2, 8] Operation: 27-19=8
Exploring Operation: 19-2=17, Resulting Numbers: [27, 17]
Generated Node #0,3,1: 35:[27, 17] Operation: 19-2=17
Exploring Operation: 19*2=38, Resulting Numbers: [27, 38]
Generated Node #0,3,2: 35:[27, 38] Operation: 19*2=38
Exploring Operation: 19+27=46, Resulting Numbers: [2, 46]
Generated Node #0,3,3: 35:[2, 46] Operation: 19+27=46
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 35:[2, 8], Operations: ['42-40=2', '27-19=8']
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,35 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,35 unequal: No Solution
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 35:[27, 38], Operations: ['42-40=2', '19*2=38']
Exploring Operation: 27+38=65, Resulting Numbers: [65]
65,35 unequal: No Solution
Exploring Operation: 27*38=1026, Resulting Numbers: [1026]
1026,35 unequal: No Solution
Exploring Operation: 38-27=11, Resulting Numbers: [11]
11,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 35:[2, 46], Operations: ['42-40=2', '19+27=46']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,35 unequal: No Solution
Exploring Operation: 46-2=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 2*46=92, Resulting Numbers: [92]
92,35 unequal: No Solution
Exploring Operation: 2+46=48, Resulting Numbers: [48]
48,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 35:[27, 17], Operations: ['42-40=2', '19-2=17']
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,35 unequal: No Solution
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[40, 27, 23], Operations: ['42-19=23']
Exploring Operation: 40-23=17, Resulting Numbers: [27, 17]
Generated Node #0,2,0: 35:[27, 17] Operation: 40-23=17
Exploring Operation: 27+23=50, Resulting Numbers: [40, 50]
Generated Node #0,2,1: 35:[40, 50] Operation: 27+23=50
Exploring Operation: 27-23=4, Resulting Numbers: [40, 4]
Generated Node #0,2,2: 35:[40, 4] Operation: 27-23=4
Exploring Operation: 40-27=13, Resulting Numbers: [23, 13]
Generated Node #0,2,3: 35:[23, 13] Operation: 40-27=13
Moving to Node #0,2,2
Current State: 35:[40, 4], Operations: ['42-19=23', '27-23=4']
Exploring Operation: 40-4=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 40+4=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Exploring Operation: 40/4=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 40*4=160, Resulting Numbers: [160]
160,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[23, 13], Operations: ['42-19=23', '40-27=13']
Exploring Operation: 23*13=299, Resulting Numbers: [299]
299,35 unequal: No Solution
Exploring Operation: 23+13=36, Resulting Numbers: [36]
36,35 unequal: No Solution
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[27, 17], Operations: ['42-19=23', '40-23=17']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,35 unequal: No Solution
Exploring Operation: 27*17=459, Resulting Numbers: [459]
459,35 unequal: No Solution
Exploring Operation: 27+17=44, Resulting Numbers: [44]
44,35 unequal: No Solution
Moving to Node #0,2,1
Current State: 35:[40, 50], Operations: ['42-19=23', '27+23=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,35 unequal: No Solution
Exploring Operation: 40*50=2000, Resulting Numbers: [2000]
2000,35 unequal: No Solution
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,35 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 |
[
33,
9,
32,
85
] | 93 | [
"33-9=24",
"32+85=117",
"117-24=93"
] | Current State: 93:[33, 9, 32, 85], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [32, 85, 24]
Generated Node #2: [32, 85, 24] from Operation: 33-9=24
Current State: 93:[32, 85, 24], Operations: ['33-9=24']
Exploring Operation: 32+85=117, Resulting Numbers: [24, 117]
Generated Node #3: [24, 117] from Operation: 32+85=117
Current State: 93:[24, 117], Operations: ['33-9=24', '32+85=117']
Exploring Operation: 117-24=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 | Current State: 93:[33, 9, 32, 85], Operations: []
Exploring Operation: 33-32=1, Resulting Numbers: [9, 85, 1]
Generated Node #0,0: 93:[9, 85, 1] Operation: 33-32=1
Exploring Operation: 33-9=24, Resulting Numbers: [32, 85, 24]
Generated Node #0,1: 93:[32, 85, 24] Operation: 33-9=24
Exploring Operation: 9+85=94, Resulting Numbers: [33, 32, 94]
Generated Node #0,2: 93:[33, 32, 94] Operation: 9+85=94
Start Sub Search at level 1: Moving to Node #0,2
Current State: 93:[33, 32, 94], Operations: ['9+85=94']
Exploring Operation: 94-33=61, Resulting Numbers: [32, 61]
Generated Node #0,2,0: 93:[32, 61] Operation: 94-33=61
Exploring Operation: 33-32=1, Resulting Numbers: [94, 1]
Generated Node #0,2,1: 93:[94, 1] Operation: 33-32=1
Exploring Operation: 33+32=65, Resulting Numbers: [94, 65]
Generated Node #0,2,2: 93:[94, 65] Operation: 33+32=65
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 93:[94, 1], Operations: ['9+85=94', '33-32=1']
Exploring Operation: 94*1=94, Resulting Numbers: [94]
94,93 unequal: No Solution
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Moving to Node #0
Current State: 93:[33, 9, 32, 85], Operations: []
Exploring Operation: 9+85=94, Resulting Numbers: [33, 32, 94]
Generated Node #0,2: 93:[33, 32, 94] Operation: 9+85=94
Moving to Node #0,2
Current State: 93:[33, 32, 94], Operations: ['9+85=94']
Exploring Operation: 33-32=1, Resulting Numbers: [94, 1]
Generated Node #0,2,1: 93:[94, 1] Operation: 33-32=1
Moving to Node #0,2,1
Current State: 93:[94, 1], Operations: ['9+85=94', '33-32=1']
Exploring Operation: 94-1=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583 | hs_3 | mult_heuristic |
[
78,
13,
95,
61
] | 31 | [
"78-13=65",
"95-61=34",
"65-34=31"
] | Current State: 31:[78, 13, 95, 61], Operations: []
Exploring Operation: 78-13=65, Resulting Numbers: [95, 61, 65]
Generated Node #2: [95, 61, 65] from Operation: 78-13=65
Current State: 31:[95, 61, 65], Operations: ['78-13=65']
Exploring Operation: 95-61=34, Resulting Numbers: [65, 34]
Generated Node #3: [65, 34] from Operation: 95-61=34
Current State: 31:[65, 34], Operations: ['78-13=65', '95-61=34']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[78, 13, 95, 61], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [13, 61, 17]
Generated Node #0,0: 31:[13, 61, 17] Operation: 95-78=17
Exploring Operation: 78-61=17, Resulting Numbers: [13, 95, 17]
Generated Node #0,1: 31:[13, 95, 17] Operation: 78-61=17
Exploring Operation: 78/13=6, Resulting Numbers: [95, 61, 6]
Generated Node #0,2: 31:[95, 61, 6] Operation: 78/13=6
Exploring Operation: 95-61=34, Resulting Numbers: [78, 13, 34]
Generated Node #0,3: 31:[78, 13, 34] Operation: 95-61=34
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[13, 61, 17], Operations: ['95-78=17']
Exploring Operation: 13+17=30, Resulting Numbers: [61, 30]
Generated Node #0,0,0: 31:[61, 30] Operation: 13+17=30
Exploring Operation: 61-13=48, Resulting Numbers: [17, 48]
Generated Node #0,0,1: 31:[17, 48] Operation: 61-13=48
Exploring Operation: 13+61=74, Resulting Numbers: [17, 74]
Generated Node #0,0,2: 31:[17, 74] Operation: 13+61=74
Exploring Operation: 61-17=44, Resulting Numbers: [13, 44]
Generated Node #0,0,3: 31:[13, 44] Operation: 61-17=44
Moving to Node #0,0,0
Current State: 31:[61, 30], Operations: ['95-78=17', '13+17=30']
Exploring Operation: 61+30=91, Resulting Numbers: [91]
91,31 unequal: No Solution
Exploring Operation: 61*30=1830, Resulting Numbers: [1830]
1830,31 unequal: No Solution
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[78, 13, 95, 61], Operations: []
Exploring Operation: 95-78=17, Resulting Numbers: [13, 61, 17]
Generated Node #0,0: 31:[13, 61, 17] Operation: 95-78=17
Moving to Node #0,0
Current State: 31:[13, 61, 17], Operations: ['95-78=17']
Exploring Operation: 13+17=30, Resulting Numbers: [61, 30]
Generated Node #0,0,0: 31:[61, 30] Operation: 13+17=30
Moving to Node #0,0,0
Current State: 31:[61, 30], Operations: ['95-78=17', '13+17=30']
Exploring Operation: 61-30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979 | hs_4 | sum_heuristic |
[
36,
1,
4,
26
] | 69 | [
"36-1=35",
"4*26=104",
"104-35=69"
] | Current State: 69:[36, 1, 4, 26], Operations: []
Exploring Operation: 36-1=35, Resulting Numbers: [4, 26, 35]
Generated Node #2: [4, 26, 35] from Operation: 36-1=35
Current State: 69:[4, 26, 35], Operations: ['36-1=35']
Exploring Operation: 4*26=104, Resulting Numbers: [35, 104]
Generated Node #3: [35, 104] from Operation: 4*26=104
Current State: 69:[35, 104], Operations: ['36-1=35', '4*26=104']
Exploring Operation: 104-35=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 | Current State: 69:[36, 1, 4, 26], Operations: []
Exploring Operation: 36/4=9, Resulting Numbers: [1, 26, 9]
Generated Node #0,0: 69:[1, 26, 9] Operation: 36/4=9
Exploring Operation: 36+26=62, Resulting Numbers: [1, 4, 62]
Generated Node #0,1: 69:[1, 4, 62] Operation: 36+26=62
Exploring Operation: 36-26=10, Resulting Numbers: [1, 4, 10]
Generated Node #0,2: 69:[1, 4, 10] Operation: 36-26=10
Moving to Node #0,1
Current State: 69:[1, 4, 62], Operations: ['36+26=62']
Exploring Operation: 4+62=66, Resulting Numbers: [1, 66]
Generated Node #0,1,0: 69:[1, 66] Operation: 4+62=66
Exploring Operation: 1+62=63, Resulting Numbers: [4, 63]
Generated Node #0,1,1: 69:[4, 63] Operation: 1+62=63
Exploring Operation: 4-1=3, Resulting Numbers: [62, 3]
Generated Node #0,1,2: 69:[62, 3] Operation: 4-1=3
Moving to Node #0,2
Current State: 69:[1, 4, 10], Operations: ['36-26=10']
Exploring Operation: 10-4=6, Resulting Numbers: [1, 6]
Generated Node #0,2,0: 69:[1, 6] Operation: 10-4=6
Exploring Operation: 4-1=3, Resulting Numbers: [10, 3]
Generated Node #0,2,1: 69:[10, 3] Operation: 4-1=3
Exploring Operation: 10-1=9, Resulting Numbers: [4, 9]
Generated Node #0,2,2: 69:[4, 9] Operation: 10-1=9
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 69:[1, 6], Operations: ['36-26=10', '10-4=6']
Exploring Operation: 6-1=5, Resulting Numbers: [5]
5,69 unequal: No Solution
Exploring Operation: 6/1=6, Resulting Numbers: [6]
6,69 unequal: No Solution
Exploring Operation: 1*6=6, Resulting Numbers: [6]
6,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 69:[10, 3], Operations: ['36-26=10', '4-1=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,69 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,69 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 69:[4, 9], Operations: ['36-26=10', '10-1=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,69 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,69 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,69 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 69:[1, 26, 9], Operations: ['36/4=9']
Exploring Operation: 26-9=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 69:[1, 17] Operation: 26-9=17
Exploring Operation: 9-1=8, Resulting Numbers: [26, 8]
Generated Node #0,0,1: 69:[26, 8] Operation: 9-1=8
Exploring Operation: 26-1=25, Resulting Numbers: [9, 25]
Generated Node #0,0,2: 69:[9, 25] Operation: 26-1=25
Moving to Node #0,1,0
Current State: 69:[1, 66], Operations: ['36+26=62', '4+62=66']
Exploring Operation: 66/1=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 1*66=66, Resulting Numbers: [66]
66,69 unequal: No Solution
Exploring Operation: 1+66=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Moving to Node #0,1,2
Current State: 69:[62, 3], Operations: ['36+26=62', '4-1=3']
Exploring Operation: 62*3=186, Resulting Numbers: [186]
186,69 unequal: No Solution
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,69 unequal: No Solution
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,69 unequal: No Solution
Moving to Node #0,1,1
Current State: 69:[4, 63], Operations: ['36+26=62', '1+62=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,69 unequal: No Solution
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,69 unequal: No Solution
Exploring Operation: 4*63=252, Resulting Numbers: [252]
252,69 unequal: No Solution
Moving to Node #0,0,2
Current State: 69:[9, 25], Operations: ['36/4=9', '26-1=25']
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,69 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,69 unequal: No Solution
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,69 unequal: No Solution
Moving to Node #0,0,0
Current State: 69:[1, 17], Operations: ['36/4=9', '26-9=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 1*17=17, Resulting Numbers: [17]
17,69 unequal: No Solution
Exploring Operation: 1+17=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Moving to Node #0,0,1
Current State: 69:[26, 8], Operations: ['36/4=9', '9-1=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,69 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,69 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,69 unequal: No Solution
No solution found.
| 0 | hs_3 | sum_heuristic |
[
29,
49,
21,
72
] | 71 | [
"49-29=20",
"72-21=51",
"20+51=71"
] | Current State: 71:[29, 49, 21, 72], Operations: []
Exploring Operation: 49-29=20, Resulting Numbers: [21, 72, 20]
Generated Node #2: [21, 72, 20] from Operation: 49-29=20
Current State: 71:[21, 72, 20], Operations: ['49-29=20']
Exploring Operation: 72-21=51, Resulting Numbers: [20, 51]
Generated Node #3: [20, 51] from Operation: 72-21=51
Current State: 71:[20, 51], Operations: ['49-29=20', '72-21=51']
Exploring Operation: 20+51=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 | Current State: 71:[29, 49, 21, 72], Operations: []
Exploring Operation: 29+21=50, Resulting Numbers: [49, 72, 50]
Generated Node #0,0: 71:[49, 72, 50] Operation: 29+21=50
Moving to Node #0,0
Current State: 71:[49, 72, 50], Operations: ['29+21=50']
Exploring Operation: 49+50=99, Resulting Numbers: [72, 99]
Generated Node #0,0,0: 71:[72, 99] Operation: 49+50=99
Moving to Node #0,0,0
Current State: 71:[72, 99], Operations: ['29+21=50', '49+50=99']
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,71 unequal: No Solution
No solution found.
| 0 | hs_1 | sum_heuristic |
[
22,
76,
73,
76
] | 96 | [
"22+73=95",
"76/76=1",
"95+1=96"
] | Current State: 96:[22, 76, 73, 76], Operations: []
Exploring Operation: 22+73=95, Resulting Numbers: [76, 76, 95]
Generated Node #2: [76, 76, 95] from Operation: 22+73=95
Current State: 96:[76, 76, 95], Operations: ['22+73=95']
Exploring Operation: 76/76=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 76/76=1
Current State: 96:[95, 1], Operations: ['22+73=95', '76/76=1']
Exploring Operation: 95+1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 | Current State: 96:[22, 76, 73, 76], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [22, 76, 3]
Generated Node #0,0: 96:[22, 76, 3] Operation: 76-73=3
Moving to Node #0,0
Current State: 96:[22, 76, 3], Operations: ['76-73=3']
Exploring Operation: 22+76=98, Resulting Numbers: [3, 98]
Generated Node #0,0,0: 96:[3, 98] Operation: 22+76=98
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 96:[3, 98], Operations: ['76-73=3', '22+76=98']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,96 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 |
[
47,
4,
94,
83
] | 91 | [
"94/47=2",
"4*2=8",
"83+8=91"
] | Current State: 91:[47, 4, 94, 83], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [4, 83, 2]
Generated Node #2: [4, 83, 2] from Operation: 94/47=2
Current State: 91:[4, 83, 2], Operations: ['94/47=2']
Exploring Operation: 4*2=8, Resulting Numbers: [83, 8]
Generated Node #3: [83, 8] from Operation: 4*2=8
Current State: 91:[83, 8], Operations: ['94/47=2', '4*2=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 | Current State: 91:[47, 4, 94, 83], Operations: []
Exploring Operation: 94-83=11, Resulting Numbers: [47, 4, 11]
Generated Node #0,0: 91:[47, 4, 11] Operation: 94-83=11
Exploring Operation: 4+83=87, Resulting Numbers: [47, 94, 87]
Generated Node #0,1: 91:[47, 94, 87] Operation: 4+83=87
Exploring Operation: 94/47=2, Resulting Numbers: [4, 83, 2]
Generated Node #0,2: 91:[4, 83, 2] Operation: 94/47=2
Exploring Operation: 47-4=43, Resulting Numbers: [94, 83, 43]
Generated Node #0,3: 91:[94, 83, 43] Operation: 47-4=43
Exploring Operation: 83-47=36, Resulting Numbers: [4, 94, 36]
Generated Node #0,4: 91:[4, 94, 36] Operation: 83-47=36
Moving to Node #0,2
Current State: 91:[4, 83, 2], Operations: ['94/47=2']
Exploring Operation: 4-2=2, Resulting Numbers: [83, 2]
Generated Node #0,2,0: 91:[83, 2] Operation: 4-2=2
Exploring Operation: 4+83=87, Resulting Numbers: [2, 87]
Generated Node #0,2,1: 91:[2, 87] Operation: 4+83=87
Exploring Operation: 4+2=6, Resulting Numbers: [83, 6]
Generated Node #0,2,2: 91:[83, 6] Operation: 4+2=6
Exploring Operation: 83+2=85, Resulting Numbers: [4, 85]
Generated Node #0,2,3: 91:[4, 85] Operation: 83+2=85
Exploring Operation: 4*2=8, Resulting Numbers: [83, 8]
Generated Node #0,2,4: 91:[83, 8] Operation: 4*2=8
Moving to Node #0,4
Current State: 91:[4, 94, 36], Operations: ['83-47=36']
Exploring Operation: 36-4=32, Resulting Numbers: [94, 32]
Generated Node #0,4,0: 91:[94, 32] Operation: 36-4=32
Exploring Operation: 4+94=98, Resulting Numbers: [36, 98]
Generated Node #0,4,1: 91:[36, 98] Operation: 4+94=98
Exploring Operation: 4+36=40, Resulting Numbers: [94, 40]
Generated Node #0,4,2: 91:[94, 40] Operation: 4+36=40
Exploring Operation: 94-4=90, Resulting Numbers: [36, 90]
Generated Node #0,4,3: 91:[36, 90] Operation: 94-4=90
Exploring Operation: 36/4=9, Resulting Numbers: [94, 9]
Generated Node #0,4,4: 91:[94, 9] Operation: 36/4=9
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 91:[94, 9], Operations: ['83-47=36', '36/4=9']
Exploring Operation: 94-9=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Exploring Operation: 94*9=846, Resulting Numbers: [846]
846,91 unequal: No Solution
Exploring Operation: 94+9=103, Resulting Numbers: [103]
103,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 91:[94, 32], Operations: ['83-47=36', '36-4=32']
Exploring Operation: 94*32=3008, Resulting Numbers: [3008]
3008,91 unequal: No Solution
Exploring Operation: 94+32=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Exploring Operation: 94-32=62, Resulting Numbers: [62]
62,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 91:[36, 90], Operations: ['83-47=36', '94-4=90']
Exploring Operation: 90-36=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 36+90=126, Resulting Numbers: [126]
126,91 unequal: No Solution
Exploring Operation: 36*90=3240, Resulting Numbers: [3240]
3240,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 91:[36, 98], Operations: ['83-47=36', '4+94=98']
Exploring Operation: 36*98=3528, Resulting Numbers: [3528]
3528,91 unequal: No Solution
Exploring Operation: 36+98=134, Resulting Numbers: [134]
134,91 unequal: No Solution
Exploring Operation: 98-36=62, Resulting Numbers: [62]
62,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 91:[94, 40], Operations: ['83-47=36', '4+36=40']
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,91 unequal: No Solution
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,91 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: 91:[47, 4, 11], Operations: ['94-83=11']
Exploring Operation: 11-4=7, Resulting Numbers: [47, 7]
Generated Node #0,0,0: 91:[47, 7] Operation: 11-4=7
Exploring Operation: 47-11=36, Resulting Numbers: [4, 36]
Generated Node #0,0,1: 91:[4, 36] Operation: 47-11=36
Exploring Operation: 4+11=15, Resulting Numbers: [47, 15]
Generated Node #0,0,2: 91:[47, 15] Operation: 4+11=15
Exploring Operation: 47+11=58, Resulting Numbers: [4, 58]
Generated Node #0,0,3: 91:[4, 58] Operation: 47+11=58
Exploring Operation: 47-4=43, Resulting Numbers: [11, 43]
Generated Node #0,0,4: 91:[11, 43] Operation: 47-4=43
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 91:[4, 36], Operations: ['94-83=11', '47-11=36']
Exploring Operation: 36/4=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Exploring Operation: 4+36=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 4*36=144, Resulting Numbers: [144]
144,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 91:[11, 43], Operations: ['94-83=11', '47-4=43']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 11+43=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 11*43=473, Resulting Numbers: [473]
473,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 91:[47, 7], Operations: ['94-83=11', '11-4=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,91 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 91:[47, 15], Operations: ['94-83=11', '4+11=15']
Exploring Operation: 47*15=705, Resulting Numbers: [705]
705,91 unequal: No Solution
Exploring Operation: 47-15=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 47+15=62, Resulting Numbers: [62]
62,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 91:[4, 58], Operations: ['94-83=11', '47+11=58']
Exploring Operation: 4*58=232, Resulting Numbers: [232]
232,91 unequal: No Solution
Exploring Operation: 4+58=62, Resulting Numbers: [62]
62,91 unequal: No Solution
Exploring Operation: 58-4=54, Resulting Numbers: [54]
54,91 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: 91:[47, 94, 87], Operations: ['4+83=87']
Exploring Operation: 87-47=40, Resulting Numbers: [94, 40]
Generated Node #0,1,0: 91:[94, 40] Operation: 87-47=40
Exploring Operation: 94/47=2, Resulting Numbers: [87, 2]
Generated Node #0,1,1: 91:[87, 2] Operation: 94/47=2
Exploring Operation: 47+87=134, Resulting Numbers: [94, 134]
Generated Node #0,1,2: 91:[94, 134] Operation: 47+87=134
Exploring Operation: 94-47=47, Resulting Numbers: [87, 47]
Generated Node #0,1,3: 91:[87, 47] Operation: 94-47=47
Exploring Operation: 94-87=7, Resulting Numbers: [47, 7]
Generated Node #0,1,4: 91:[47, 7] Operation: 94-87=7
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 91:[87, 2], Operations: ['4+83=87', '94/47=2']
Exploring Operation: 87*2=174, Resulting Numbers: [174]
174,91 unequal: No Solution
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 91:[94, 40], Operations: ['4+83=87', '87-47=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,91 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 91:[47, 7], Operations: ['4+83=87', '94-87=7']
Exploring Operation: 47-7=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 47+7=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 47*7=329, Resulting Numbers: [329]
329,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 91:[87, 47], Operations: ['4+83=87', '94-47=47']
Exploring Operation: 87*47=4089, Resulting Numbers: [4089]
4089,91 unequal: No Solution
Exploring Operation: 87+47=134, Resulting Numbers: [134]
134,91 unequal: No Solution
Exploring Operation: 87-47=40, Resulting Numbers: [40]
40,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 91:[94, 134], Operations: ['4+83=87', '47+87=134']
Exploring Operation: 94+134=228, Resulting Numbers: [228]
228,91 unequal: No Solution
Exploring Operation: 134-94=40, Resulting Numbers: [40]
40,91 unequal: No Solution
Exploring Operation: 94*134=12596, Resulting Numbers: [12596]
12596,91 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: 91:[94, 83, 43], Operations: ['47-4=43']
Exploring Operation: 94+43=137, Resulting Numbers: [83, 137]
Generated Node #0,3,0: 91:[83, 137] Operation: 94+43=137
Exploring Operation: 83-43=40, Resulting Numbers: [94, 40]
Generated Node #0,3,1: 91:[94, 40] Operation: 83-43=40
Exploring Operation: 83+43=126, Resulting Numbers: [94, 126]
Generated Node #0,3,2: 91:[94, 126] Operation: 83+43=126
Exploring Operation: 94-83=11, Resulting Numbers: [43, 11]
Generated Node #0,3,3: 91:[43, 11] Operation: 94-83=11
Exploring Operation: 94-43=51, Resulting Numbers: [83, 51]
Generated Node #0,3,4: 91:[83, 51] Operation: 94-43=51
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 91:[94, 40], Operations: ['47-4=43', '83-43=40']
Exploring Operation: 94-40=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 94*40=3760, Resulting Numbers: [3760]
3760,91 unequal: No Solution
Exploring Operation: 94+40=134, Resulting Numbers: [134]
134,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 91:[43, 11], Operations: ['47-4=43', '94-83=11']
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 91:[94, 126], Operations: ['47-4=43', '83+43=126']
Exploring Operation: 94+126=220, Resulting Numbers: [220]
220,91 unequal: No Solution
Exploring Operation: 94*126=11844, Resulting Numbers: [11844]
11844,91 unequal: No Solution
Exploring Operation: 126-94=32, Resulting Numbers: [32]
32,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 91:[83, 51], Operations: ['47-4=43', '94-43=51']
Exploring Operation: 83+51=134, Resulting Numbers: [134]
134,91 unequal: No Solution
Exploring Operation: 83-51=32, Resulting Numbers: [32]
32,91 unequal: No Solution
Exploring Operation: 83*51=4233, Resulting Numbers: [4233]
4233,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 91:[83, 137], Operations: ['47-4=43', '94+43=137']
Exploring Operation: 83+137=220, Resulting Numbers: [220]
220,91 unequal: No Solution
Exploring Operation: 137-83=54, Resulting Numbers: [54]
54,91 unequal: No Solution
Exploring Operation: 83*137=11371, Resulting Numbers: [11371]
11371,91 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,1
Current State: 91:[2, 87], Operations: ['94/47=2', '4+83=87']
Exploring Operation: 2*87=174, Resulting Numbers: [174]
174,91 unequal: No Solution
Exploring Operation: 2+87=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,91 unequal: No Solution
Moving to Node #0,2,3
Current State: 91:[4, 85], Operations: ['94/47=2', '83+2=85']
Exploring Operation: 4+85=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 85-4=81, Resulting Numbers: [81]
81,91 unequal: No Solution
Exploring Operation: 4*85=340, Resulting Numbers: [340]
340,91 unequal: No Solution
Moving to Node #0,2,2
Current State: 91:[83, 6], Operations: ['94/47=2', '4+2=6']
Exploring Operation: 83*6=498, Resulting Numbers: [498]
498,91 unequal: No Solution
Exploring Operation: 83+6=89, Resulting Numbers: [89]
89,91 unequal: No Solution
Exploring Operation: 83-6=77, Resulting Numbers: [77]
77,91 unequal: No Solution
Moving to Node #0,2,4
Current State: 91:[83, 8], Operations: ['94/47=2', '4*2=8']
Exploring Operation: 83-8=75, Resulting Numbers: [75]
75,91 unequal: No Solution
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[47, 4, 94, 83], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [4, 83, 2]
Generated Node #0,2: 91:[4, 83, 2] Operation: 94/47=2
Moving to Node #0,2
Current State: 91:[4, 83, 2], Operations: ['94/47=2']
Exploring Operation: 4*2=8, Resulting Numbers: [83, 8]
Generated Node #0,2,4: 91:[83, 8] Operation: 4*2=8
Moving to Node #0,2,4
Current State: 91:[83, 8], Operations: ['94/47=2', '4*2=8']
Exploring Operation: 83+8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.907986 | hs_5 | mult_heuristic |
[
76,
2,
13,
2
] | 32 | [
"76/2=38",
"38/2=19",
"13+19=32"
] | Current State: 32:[76, 2, 13, 2], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [13, 38]
Generated Node #2: [13, 38] from Operation: 76/2=38
Current State: 32:[13, 38], Operations: ['76/2=38']
Exploring Operation: 38/2=19, Resulting Numbers: [13, 19]
Generated Node #3: [13, 19] from Operation: 38/2=19
Current State: 32:[13, 19], Operations: ['76/2=38', '38/2=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[76, 2, 13, 2], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [13, 2, 38]
Generated Node #0,0: 32:[13, 2, 38] Operation: 76/2=38
Exploring Operation: 76/2=38, Resulting Numbers: [2, 13, 38]
Generated Node #0,1: 32:[2, 13, 38] Operation: 76/2=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 32:[13, 2, 38], Operations: ['76/2=38']
Exploring Operation: 13+2=15, Resulting Numbers: [38, 15]
Generated Node #0,0,0: 32:[38, 15] Operation: 13+2=15
Exploring Operation: 38/2=19, Resulting Numbers: [13, 19]
Generated Node #0,0,1: 32:[13, 19] Operation: 38/2=19
Moving to Node #0,0,1
Current State: 32:[13, 19], Operations: ['76/2=38', '38/2=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[76, 2, 13, 2], Operations: []
Exploring Operation: 76/2=38, Resulting Numbers: [13, 2, 38]
Generated Node #0,0: 32:[13, 2, 38] Operation: 76/2=38
Moving to Node #0,0
Current State: 32:[13, 2, 38], Operations: ['76/2=38']
Exploring Operation: 38/2=19, Resulting Numbers: [13, 19]
Generated Node #0,0,1: 32:[13, 19] Operation: 38/2=19
Moving to Node #0,0,1
Current State: 32:[13, 19], Operations: ['76/2=38', '38/2=19']
Exploring Operation: 13+19=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
58,
62,
39,
4
] | 31 | [
"62-58=4",
"39-4=35",
"35-4=31"
] | Current State: 31:[58, 62, 39, 4], Operations: []
Exploring Operation: 62-58=4, Resulting Numbers: [39, 4, 4]
Generated Node #2: [39, 4, 4] from Operation: 62-58=4
Current State: 31:[39, 4, 4], Operations: ['62-58=4']
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,31 equal: Goal Reached
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 | Current State: 31:[58, 62, 39, 4], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [58, 4, 23]
Generated Node #0,0: 31:[58, 4, 23] Operation: 62-39=23
Exploring Operation: 58-4=54, Resulting Numbers: [62, 39, 54]
Generated Node #0,1: 31:[62, 39, 54] Operation: 58-4=54
Exploring Operation: 62-4=58, Resulting Numbers: [58, 39, 58]
Generated Node #0,2: 31:[58, 39, 58] Operation: 62-4=58
Exploring Operation: 62-58=4, Resulting Numbers: [39, 4, 4]
Generated Node #0,3: 31:[39, 4, 4] Operation: 62-58=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 31:[58, 4, 23], Operations: ['62-39=23']
Exploring Operation: 58-23=35, Resulting Numbers: [4, 35]
Generated Node #0,0,0: 31:[4, 35] Operation: 58-23=35
Exploring Operation: 58+4=62, Resulting Numbers: [23, 62]
Generated Node #0,0,1: 31:[23, 62] Operation: 58+4=62
Exploring Operation: 4+23=27, Resulting Numbers: [58, 27]
Generated Node #0,0,2: 31:[58, 27] Operation: 4+23=27
Exploring Operation: 58-4=54, Resulting Numbers: [23, 54]
Generated Node #0,0,3: 31:[23, 54] Operation: 58-4=54
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 31:[4, 35], Operations: ['62-39=23', '58-23=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Moving to Node #0
Current State: 31:[58, 62, 39, 4], Operations: []
Exploring Operation: 62-39=23, Resulting Numbers: [58, 4, 23]
Generated Node #0,0: 31:[58, 4, 23] Operation: 62-39=23
Moving to Node #0,0
Current State: 31:[58, 4, 23], Operations: ['62-39=23']
Exploring Operation: 58-23=35, Resulting Numbers: [4, 35]
Generated Node #0,0,0: 31:[4, 35] Operation: 58-23=35
Moving to Node #0,0,0
Current State: 31:[4, 35], Operations: ['62-39=23', '58-23=35']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.988715 | hs_4 | sum_heuristic |
[
60,
15,
64,
69
] | 58 | [
"60+15=75",
"64+69=133",
"133-75=58"
] | Current State: 58:[60, 15, 64, 69], Operations: []
Exploring Operation: 60+15=75, Resulting Numbers: [64, 69, 75]
Generated Node #2: [64, 69, 75] from Operation: 60+15=75
Current State: 58:[64, 69, 75], Operations: ['60+15=75']
Exploring Operation: 64+69=133, Resulting Numbers: [75, 133]
Generated Node #3: [75, 133] from Operation: 64+69=133
Current State: 58:[75, 133], Operations: ['60+15=75', '64+69=133']
Exploring Operation: 133-75=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 | Current State: 58:[60, 15, 64, 69], Operations: []
Exploring Operation: 64-15=49, Resulting Numbers: [60, 69, 49]
Generated Node #0,0: 58:[60, 69, 49] Operation: 64-15=49
Exploring Operation: 64-60=4, Resulting Numbers: [15, 69, 4]
Generated Node #0,1: 58:[15, 69, 4] Operation: 64-60=4
Exploring Operation: 60/15=4, Resulting Numbers: [64, 69, 4]
Generated Node #0,2: 58:[64, 69, 4] Operation: 60/15=4
Exploring Operation: 69-15=54, Resulting Numbers: [60, 64, 54]
Generated Node #0,3: 58:[60, 64, 54] Operation: 69-15=54
Exploring Operation: 69-64=5, Resulting Numbers: [60, 15, 5]
Generated Node #0,4: 58:[60, 15, 5] Operation: 69-64=5
Moving to Node #0,3
Current State: 58:[60, 64, 54], Operations: ['69-15=54']
Exploring Operation: 64+54=118, Resulting Numbers: [60, 118]
Generated Node #0,3,0: 58:[60, 118] Operation: 64+54=118
Exploring Operation: 60+54=114, Resulting Numbers: [64, 114]
Generated Node #0,3,1: 58:[64, 114] Operation: 60+54=114
Exploring Operation: 60-54=6, Resulting Numbers: [64, 6]
Generated Node #0,3,2: 58:[64, 6] Operation: 60-54=6
Exploring Operation: 64-60=4, Resulting Numbers: [54, 4]
Generated Node #0,3,3: 58:[54, 4] Operation: 64-60=4
Exploring Operation: 64-54=10, Resulting Numbers: [60, 10]
Generated Node #0,3,4: 58:[60, 10] Operation: 64-54=10
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 58:[54, 4], Operations: ['69-15=54', '64-60=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,58 unequal: No Solution
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,58 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[60, 15, 64, 69], Operations: []
Exploring Operation: 69-15=54, Resulting Numbers: [60, 64, 54]
Generated Node #0,3: 58:[60, 64, 54] Operation: 69-15=54
Moving to Node #0,3
Current State: 58:[60, 64, 54], Operations: ['69-15=54']
Exploring Operation: 64-60=4, Resulting Numbers: [54, 4]
Generated Node #0,3,3: 58:[54, 4] Operation: 64-60=4
Moving to Node #0,3,3
Current State: 58:[54, 4], Operations: ['69-15=54', '64-60=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243 | hs_5 | mult_heuristic |
[
77,
45,
62,
90
] | 13 | [
"77-62=15",
"90/45=2",
"15-2=13"
] | Current State: 13:[77, 45, 62, 90], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [45, 90, 15]
Generated Node #2: [45, 90, 15] from Operation: 77-62=15
Current State: 13:[45, 90, 15], Operations: ['77-62=15']
Exploring Operation: 90/45=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 90/45=2
Current State: 13:[15, 2], Operations: ['77-62=15', '90/45=2']
Exploring Operation: 15-2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 | Current State: 13:[77, 45, 62, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [45, 62, 13]
Generated Node #0,0: 13:[45, 62, 13] Operation: 90-77=13
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[45, 62, 13], Operations: ['90-77=13']
Exploring Operation: 62-45=17, Resulting Numbers: [13, 17]
Generated Node #0,0,0: 13:[13, 17] Operation: 62-45=17
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 13:[13, 17], Operations: ['90-77=13', '62-45=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,13 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
15,
93,
4,
37
] | 70 | [
"93-15=78",
"4*37=148",
"148-78=70"
] | Current State: 70:[15, 93, 4, 37], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [4, 37, 78]
Generated Node #2: [4, 37, 78] from Operation: 93-15=78
Current State: 70:[4, 37, 78], Operations: ['93-15=78']
Exploring Operation: 4*37=148, Resulting Numbers: [78, 148]
Generated Node #3: [78, 148] from Operation: 4*37=148
Current State: 70:[78, 148], Operations: ['93-15=78', '4*37=148']
Exploring Operation: 148-78=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 | Current State: 70:[15, 93, 4, 37], Operations: []
Exploring Operation: 93-15=78, Resulting Numbers: [4, 37, 78]
Generated Node #0,0: 70:[4, 37, 78] Operation: 93-15=78
Start Sub Search at level 1: Moving to Node #0,0
Current State: 70:[4, 37, 78], Operations: ['93-15=78']
Exploring Operation: 78-4=74, Resulting Numbers: [37, 74]
Generated Node #0,0,0: 70:[37, 74] Operation: 78-4=74
Moving to Node #0,0,0
Current State: 70:[37, 74], Operations: ['93-15=78', '78-4=74']
Exploring Operation: 74/37=2, Resulting Numbers: [2]
2,70 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_1 | sum_heuristic |
[
66,
32,
96,
51
] | 73 | [
"66*32=2112",
"2112/96=22",
"51+22=73"
] | Current State: 73:[66, 32, 96, 51], Operations: []
Exploring Operation: 66*32=2112, Resulting Numbers: [96, 51, 2112]
Generated Node #2: [96, 51, 2112] from Operation: 66*32=2112
Current State: 73:[96, 51, 2112], Operations: ['66*32=2112']
Exploring Operation: 2112/96=22, Resulting Numbers: [51, 22]
Generated Node #3: [51, 22] from Operation: 2112/96=22
Current State: 73:[51, 22], Operations: ['66*32=2112', '2112/96=22']
Exploring Operation: 51+22=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 | Current State: 73:[66, 32, 96, 51], Operations: []
Exploring Operation: 66+32=98, Resulting Numbers: [96, 51, 98]
Generated Node #0,0: 73:[96, 51, 98] Operation: 66+32=98
Exploring Operation: 96-51=45, Resulting Numbers: [66, 32, 45]
Generated Node #0,1: 73:[66, 32, 45] Operation: 96-51=45
Exploring Operation: 96-32=64, Resulting Numbers: [66, 51, 64]
Generated Node #0,2: 73:[66, 51, 64] Operation: 96-32=64
Exploring Operation: 32+51=83, Resulting Numbers: [66, 96, 83]
Generated Node #0,3: 73:[66, 96, 83] Operation: 32+51=83
Start Sub Search at level 1: Moving to Node #0,2
Current State: 73:[66, 51, 64], Operations: ['96-32=64']
Exploring Operation: 66+51=117, Resulting Numbers: [64, 117]
Generated Node #0,2,0: 73:[64, 117] Operation: 66+51=117
Exploring Operation: 51+64=115, Resulting Numbers: [66, 115]
Generated Node #0,2,1: 73:[66, 115] Operation: 51+64=115
Exploring Operation: 64-51=13, Resulting Numbers: [66, 13]
Generated Node #0,2,2: 73:[66, 13] Operation: 64-51=13
Exploring Operation: 66-51=15, Resulting Numbers: [64, 15]
Generated Node #0,2,3: 73:[64, 15] Operation: 66-51=15
Moving to Node #0,2,1
Current State: 73:[66, 115], Operations: ['96-32=64', '51+64=115']
Exploring Operation: 115-66=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 66*115=7590, Resulting Numbers: [7590]
7590,73 unequal: No Solution
Exploring Operation: 66+115=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Moving to Node #0,2,0
Current State: 73:[64, 117], Operations: ['96-32=64', '66+51=117']
Exploring Operation: 64+117=181, Resulting Numbers: [181]
181,73 unequal: No Solution
Exploring Operation: 64*117=7488, Resulting Numbers: [7488]
7488,73 unequal: No Solution
Exploring Operation: 117-64=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Moving to Node #0,2,3
Current State: 73:[64, 15], Operations: ['96-32=64', '66-51=15']
Exploring Operation: 64+15=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 64*15=960, Resulting Numbers: [960]
960,73 unequal: No Solution
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Moving to Node #0,2,2
Current State: 73:[66, 13], Operations: ['96-32=64', '64-51=13']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 73:[66, 96, 83], Operations: ['32+51=83']
Exploring Operation: 83-66=17, Resulting Numbers: [96, 17]
Generated Node #0,3,0: 73:[96, 17] Operation: 83-66=17
Exploring Operation: 96-66=30, Resulting Numbers: [83, 30]
Generated Node #0,3,1: 73:[83, 30] Operation: 96-66=30
Exploring Operation: 96-83=13, Resulting Numbers: [66, 13]
Generated Node #0,3,2: 73:[66, 13] Operation: 96-83=13
Exploring Operation: 66+96=162, Resulting Numbers: [83, 162]
Generated Node #0,3,3: 73:[83, 162] Operation: 66+96=162
Moving to Node #0,3,1
Current State: 73:[83, 30], Operations: ['32+51=83', '96-66=30']
Exploring Operation: 83*30=2490, Resulting Numbers: [2490]
2490,73 unequal: No Solution
Exploring Operation: 83-30=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 83+30=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Moving to Node #0,3,2
Current State: 73:[66, 13], Operations: ['32+51=83', '96-83=13']
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,73 unequal: No Solution
Moving to Node #0,3,0
Current State: 73:[96, 17], Operations: ['32+51=83', '83-66=17']
Exploring Operation: 96*17=1632, Resulting Numbers: [1632]
1632,73 unequal: No Solution
Exploring Operation: 96-17=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 96+17=113, Resulting Numbers: [113]
113,73 unequal: No Solution
Moving to Node #0,3,3
Current State: 73:[83, 162], Operations: ['32+51=83', '66+96=162']
Exploring Operation: 83+162=245, Resulting Numbers: [245]
245,73 unequal: No Solution
Exploring Operation: 162-83=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 83*162=13446, Resulting Numbers: [13446]
13446,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 73:[96, 51, 98], Operations: ['66+32=98']
Exploring Operation: 96-51=45, Resulting Numbers: [98, 45]
Generated Node #0,0,0: 73:[98, 45] Operation: 96-51=45
Exploring Operation: 96+51=147, Resulting Numbers: [98, 147]
Generated Node #0,0,1: 73:[98, 147] Operation: 96+51=147
Exploring Operation: 98-96=2, Resulting Numbers: [51, 2]
Generated Node #0,0,2: 73:[51, 2] Operation: 98-96=2
Exploring Operation: 98-51=47, Resulting Numbers: [96, 47]
Generated Node #0,0,3: 73:[96, 47] Operation: 98-51=47
Moving to Node #0,0,3
Current State: 73:[96, 47], Operations: ['66+32=98', '98-51=47']
Exploring Operation: 96-47=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 96*47=4512, Resulting Numbers: [4512]
4512,73 unequal: No Solution
Exploring Operation: 96+47=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Moving to Node #0,0,0
Current State: 73:[98, 45], Operations: ['66+32=98', '96-51=45']
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 98+45=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 98*45=4410, Resulting Numbers: [4410]
4410,73 unequal: No Solution
Moving to Node #0,0,2
Current State: 73:[51, 2], Operations: ['66+32=98', '98-96=2']
Exploring Operation: 51*2=102, Resulting Numbers: [102]
102,73 unequal: No Solution
Exploring Operation: 51+2=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Moving to Node #0,0,1
Current State: 73:[98, 147], Operations: ['66+32=98', '96+51=147']
Exploring Operation: 147-98=49, Resulting Numbers: [49]
49,73 unequal: No Solution
Exploring Operation: 98+147=245, Resulting Numbers: [245]
245,73 unequal: No Solution
Exploring Operation: 98*147=14406, Resulting Numbers: [14406]
14406,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 73:[66, 32, 45], Operations: ['96-51=45']
Exploring Operation: 66-32=34, Resulting Numbers: [45, 34]
Generated Node #0,1,0: 73:[45, 34] Operation: 66-32=34
Exploring Operation: 45-32=13, Resulting Numbers: [66, 13]
Generated Node #0,1,1: 73:[66, 13] Operation: 45-32=13
Exploring Operation: 32+45=77, Resulting Numbers: [66, 77]
Generated Node #0,1,2: 73:[66, 77] Operation: 32+45=77
Exploring Operation: 66+32=98, Resulting Numbers: [45, 98]
Generated Node #0,1,3: 73:[45, 98] Operation: 66+32=98
Moving to Node #0,1,2
Current State: 73:[66, 77], Operations: ['96-51=45', '32+45=77']
Exploring Operation: 66+77=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 66*77=5082, Resulting Numbers: [5082]
5082,73 unequal: No Solution
Exploring Operation: 77-66=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Moving to Node #0,1,3
Current State: 73:[45, 98], Operations: ['96-51=45', '66+32=98']
Exploring Operation: 45+98=143, Resulting Numbers: [143]
143,73 unequal: No Solution
Exploring Operation: 98-45=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Exploring Operation: 45*98=4410, Resulting Numbers: [4410]
4410,73 unequal: No Solution
Moving to Node #0,1,1
Current State: 73:[66, 13], Operations: ['96-51=45', '45-32=13']
Exploring Operation: 66*13=858, Resulting Numbers: [858]
858,73 unequal: No Solution
Exploring Operation: 66+13=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,73 unequal: No Solution
Moving to Node #0,1,0
Current State: 73:[45, 34], Operations: ['96-51=45', '66-32=34']
Exploring Operation: 45+34=79, Resulting Numbers: [79]
79,73 unequal: No Solution
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,73 unequal: No Solution
Exploring Operation: 45*34=1530, Resulting Numbers: [1530]
1530,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0 | hs_4 | mult_heuristic |
[
84,
24,
53,
88
] | 25 | [
"84-24=60",
"88-53=35",
"60-35=25"
] | Current State: 25:[84, 24, 53, 88], Operations: []
Exploring Operation: 84-24=60, Resulting Numbers: [53, 88, 60]
Generated Node #2: [53, 88, 60] from Operation: 84-24=60
Current State: 25:[53, 88, 60], Operations: ['84-24=60']
Exploring Operation: 88-53=35, Resulting Numbers: [60, 35]
Generated Node #3: [60, 35] from Operation: 88-53=35
Current State: 25:[60, 35], Operations: ['84-24=60', '88-53=35']
Exploring Operation: 60-35=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 | Current State: 25:[84, 24, 53, 88], Operations: []
Exploring Operation: 84-53=31, Resulting Numbers: [24, 88, 31]
Generated Node #0,0: 25:[24, 88, 31] Operation: 84-53=31
Exploring Operation: 88-84=4, Resulting Numbers: [24, 53, 4]
Generated Node #0,1: 25:[24, 53, 4] Operation: 88-84=4
Moving to Node #0,1
Current State: 25:[24, 53, 4], Operations: ['88-84=4']
Exploring Operation: 53-4=49, Resulting Numbers: [24, 49]
Generated Node #0,1,0: 25:[24, 49] Operation: 53-4=49
Exploring Operation: 53-24=29, Resulting Numbers: [4, 29]
Generated Node #0,1,1: 25:[4, 29] Operation: 53-24=29
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[4, 29], Operations: ['88-84=4', '53-24=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[84, 24, 53, 88], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [24, 53, 4]
Generated Node #0,1: 25:[24, 53, 4] Operation: 88-84=4
Moving to Node #0,1
Current State: 25:[24, 53, 4], Operations: ['88-84=4']
Exploring Operation: 53-24=29, Resulting Numbers: [4, 29]
Generated Node #0,1,1: 25:[4, 29] Operation: 53-24=29
Moving to Node #0,1,1
Current State: 25:[4, 29], Operations: ['88-84=4', '53-24=29']
Exploring Operation: 29-4=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188 | hs_2 | mult_heuristic |
[
13,
35,
97,
17
] | 32 | [
"13+35=48",
"97-17=80",
"80-48=32"
] | Current State: 32:[13, 35, 97, 17], Operations: []
Exploring Operation: 13+35=48, Resulting Numbers: [97, 17, 48]
Generated Node #2: [97, 17, 48] from Operation: 13+35=48
Current State: 32:[97, 17, 48], Operations: ['13+35=48']
Exploring Operation: 97-17=80, Resulting Numbers: [48, 80]
Generated Node #3: [48, 80] from Operation: 97-17=80
Current State: 32:[48, 80], Operations: ['13+35=48', '97-17=80']
Exploring Operation: 80-48=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 | Current State: 32:[13, 35, 97, 17], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [35, 97, 4]
Generated Node #0,0: 32:[35, 97, 4] Operation: 17-13=4
Exploring Operation: 97-35=62, Resulting Numbers: [13, 17, 62]
Generated Node #0,1: 32:[13, 17, 62] Operation: 97-35=62
Exploring Operation: 97-17=80, Resulting Numbers: [13, 35, 80]
Generated Node #0,2: 32:[13, 35, 80] Operation: 97-17=80
Exploring Operation: 97-13=84, Resulting Numbers: [35, 17, 84]
Generated Node #0,3: 32:[35, 17, 84] Operation: 97-13=84
Start Sub Search at level 1: Moving to Node #0,1
Current State: 32:[13, 17, 62], Operations: ['97-35=62']
Exploring Operation: 17-13=4, Resulting Numbers: [62, 4]
Generated Node #0,1,0: 32:[62, 4] Operation: 17-13=4
Exploring Operation: 62-13=49, Resulting Numbers: [17, 49]
Generated Node #0,1,1: 32:[17, 49] Operation: 62-13=49
Exploring Operation: 62-17=45, Resulting Numbers: [13, 45]
Generated Node #0,1,2: 32:[13, 45] Operation: 62-17=45
Exploring Operation: 13+17=30, Resulting Numbers: [62, 30]
Generated Node #0,1,3: 32:[62, 30] Operation: 13+17=30
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 32:[13, 45], Operations: ['97-35=62', '62-17=45']
Exploring Operation: 13+45=58, Resulting Numbers: [58]
58,32 unequal: No Solution
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[13, 35, 97, 17], Operations: []
Exploring Operation: 97-35=62, Resulting Numbers: [13, 17, 62]
Generated Node #0,1: 32:[13, 17, 62] Operation: 97-35=62
Moving to Node #0,1
Current State: 32:[13, 17, 62], Operations: ['97-35=62']
Exploring Operation: 62-17=45, Resulting Numbers: [13, 45]
Generated Node #0,1,2: 32:[13, 45] Operation: 62-17=45
Moving to Node #0,1,2
Current State: 32:[13, 45], Operations: ['97-35=62', '62-17=45']
Exploring Operation: 45-13=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.987847 | hs_4 | mult_heuristic |
[
54,
25,
28,
66
] | 76 | [
"28-25=3",
"66/3=22",
"54+22=76"
] | Current State: 76:[54, 25, 28, 66], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [54, 66, 3]
Generated Node #2: [54, 66, 3] from Operation: 28-25=3
Current State: 76:[54, 66, 3], Operations: ['28-25=3']
Exploring Operation: 66/3=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 66/3=22
Current State: 76:[54, 22], Operations: ['28-25=3', '66/3=22']
Exploring Operation: 54+22=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 | Current State: 76:[54, 25, 28, 66], Operations: []
Exploring Operation: 66-28=38, Resulting Numbers: [54, 25, 38]
Generated Node #0,0: 76:[54, 25, 38] Operation: 66-28=38
Exploring Operation: 54+28=82, Resulting Numbers: [25, 66, 82]
Generated Node #0,1: 76:[25, 66, 82] Operation: 54+28=82
Exploring Operation: 66-54=12, Resulting Numbers: [25, 28, 12]
Generated Node #0,2: 76:[25, 28, 12] Operation: 66-54=12
Exploring Operation: 54+25=79, Resulting Numbers: [28, 66, 79]
Generated Node #0,3: 76:[28, 66, 79] Operation: 54+25=79
Moving to Node #0,0
Current State: 76:[54, 25, 38], Operations: ['66-28=38']
Exploring Operation: 54+25=79, Resulting Numbers: [38, 79]
Generated Node #0,0,0: 76:[38, 79] Operation: 54+25=79
Exploring Operation: 54+38=92, Resulting Numbers: [25, 92]
Generated Node #0,0,1: 76:[25, 92] Operation: 54+38=92
Exploring Operation: 54-25=29, Resulting Numbers: [38, 29]
Generated Node #0,0,2: 76:[38, 29] Operation: 54-25=29
Exploring Operation: 54-38=16, Resulting Numbers: [25, 16]
Generated Node #0,0,3: 76:[25, 16] Operation: 54-38=16
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 76:[38, 79], Operations: ['66-28=38', '54+25=79']
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 38+79=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 38*79=3002, Resulting Numbers: [3002]
3002,76 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:[38, 29], Operations: ['66-28=38', '54-25=29']
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 38+29=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 38*29=1102, Resulting Numbers: [1102]
1102,76 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:[25, 16], Operations: ['66-28=38', '54-38=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,76 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,76 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:[25, 92], Operations: ['66-28=38', '54+38=92']
Exploring Operation: 25+92=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 92-25=67, Resulting Numbers: [67]
67,76 unequal: No Solution
Exploring Operation: 25*92=2300, Resulting Numbers: [2300]
2300,76 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:[25, 28, 12], Operations: ['66-54=12']
Exploring Operation: 28-12=16, Resulting Numbers: [25, 16]
Generated Node #0,2,0: 76:[25, 16] Operation: 28-12=16
Exploring Operation: 28-25=3, Resulting Numbers: [12, 3]
Generated Node #0,2,1: 76:[12, 3] Operation: 28-25=3
Exploring Operation: 25+12=37, Resulting Numbers: [28, 37]
Generated Node #0,2,2: 76:[28, 37] Operation: 25+12=37
Exploring Operation: 28+12=40, Resulting Numbers: [25, 40]
Generated Node #0,2,3: 76:[25, 40] Operation: 28+12=40
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 76:[12, 3], Operations: ['66-54=12', '28-25=3']
Exploring Operation: 12*3=36, Resulting Numbers: [36]
36,76 unequal: No Solution
Exploring Operation: 12/3=4, Resulting Numbers: [4]
4,76 unequal: No Solution
Exploring Operation: 12-3=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 12+3=15, Resulting Numbers: [15]
15,76 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 #0,2,3
Current State: 76:[25, 40], Operations: ['66-54=12', '28+12=40']
Exploring Operation: 25*40=1000, Resulting Numbers: [1000]
1000,76 unequal: No Solution
Exploring Operation: 40-25=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 25+40=65, Resulting Numbers: [65]
65,76 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 #0,2,0
Current State: 76:[25, 16], Operations: ['66-54=12', '28-12=16']
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,76 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 #0,2,2
Current State: 76:[28, 37], Operations: ['66-54=12', '25+12=37']
Exploring Operation: 37-28=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 28*37=1036, Resulting Numbers: [1036]
1036,76 unequal: No Solution
Exploring Operation: 28+37=65, Resulting Numbers: [65]
65,76 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: 76:[25, 66, 82], Operations: ['54+28=82']
Exploring Operation: 25+66=91, Resulting Numbers: [82, 91]
Generated Node #0,1,0: 76:[82, 91] Operation: 25+66=91
Exploring Operation: 82-66=16, Resulting Numbers: [25, 16]
Generated Node #0,1,1: 76:[25, 16] Operation: 82-66=16
Exploring Operation: 82-25=57, Resulting Numbers: [66, 57]
Generated Node #0,1,2: 76:[66, 57] Operation: 82-25=57
Exploring Operation: 66-25=41, Resulting Numbers: [82, 41]
Generated Node #0,1,3: 76:[82, 41] Operation: 66-25=41
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 76:[25, 16], Operations: ['54+28=82', '82-66=16']
Exploring Operation: 25*16=400, Resulting Numbers: [400]
400,76 unequal: No Solution
Exploring Operation: 25-16=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 25+16=41, Resulting Numbers: [41]
41,76 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:[82, 41], Operations: ['54+28=82', '66-25=41']
Exploring Operation: 82-41=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 82/41=2, Resulting Numbers: [2]
2,76 unequal: No Solution
Exploring Operation: 82*41=3362, Resulting Numbers: [3362]
3362,76 unequal: No Solution
Exploring Operation: 82+41=123, Resulting Numbers: [123]
123,76 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:[82, 91], Operations: ['54+28=82', '25+66=91']
Exploring Operation: 91-82=9, Resulting Numbers: [9]
9,76 unequal: No Solution
Exploring Operation: 82+91=173, Resulting Numbers: [173]
173,76 unequal: No Solution
Exploring Operation: 82*91=7462, Resulting Numbers: [7462]
7462,76 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:[66, 57], Operations: ['54+28=82', '82-25=57']
Exploring Operation: 66*57=3762, Resulting Numbers: [3762]
3762,76 unequal: No Solution
Exploring Operation: 66+57=123, Resulting Numbers: [123]
123,76 unequal: No Solution
Exploring Operation: 66-57=9, Resulting Numbers: [9]
9,76 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: 76:[28, 66, 79], Operations: ['54+25=79']
Exploring Operation: 79-66=13, Resulting Numbers: [28, 13]
Generated Node #0,3,0: 76:[28, 13] Operation: 79-66=13
Exploring Operation: 66-28=38, Resulting Numbers: [79, 38]
Generated Node #0,3,1: 76:[79, 38] Operation: 66-28=38
Exploring Operation: 79-28=51, Resulting Numbers: [66, 51]
Generated Node #0,3,2: 76:[66, 51] Operation: 79-28=51
Exploring Operation: 28+66=94, Resulting Numbers: [79, 94]
Generated Node #0,3,3: 76:[79, 94] Operation: 28+66=94
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 76:[79, 38], Operations: ['54+25=79', '66-28=38']
Exploring Operation: 79*38=3002, Resulting Numbers: [3002]
3002,76 unequal: No Solution
Exploring Operation: 79-38=41, Resulting Numbers: [41]
41,76 unequal: No Solution
Exploring Operation: 79+38=117, Resulting Numbers: [117]
117,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 76:[28, 13], Operations: ['54+25=79', '79-66=13']
Exploring Operation: 28*13=364, Resulting Numbers: [364]
364,76 unequal: No Solution
Exploring Operation: 28-13=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 28+13=41, Resulting Numbers: [41]
41,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 76:[79, 94], Operations: ['54+25=79', '28+66=94']
Exploring Operation: 94-79=15, Resulting Numbers: [15]
15,76 unequal: No Solution
Exploring Operation: 79*94=7426, Resulting Numbers: [7426]
7426,76 unequal: No Solution
Exploring Operation: 79+94=173, Resulting Numbers: [173]
173,76 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 76:[66, 51], Operations: ['54+25=79', '79-28=51']
Exploring Operation: 66+51=117, Resulting Numbers: [117]
117,76 unequal: No Solution
Exploring Operation: 66*51=3366, Resulting Numbers: [3366]
3366,76 unequal: No Solution
Exploring Operation: 66-51=15, Resulting Numbers: [15]
15,76 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 |
[
57,
15,
61,
43
] | 61 | [
"57-15=42",
"43-42=1",
"61*1=61"
] | Current State: 61:[57, 15, 61, 43], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [61, 43, 42]
Generated Node #2: [61, 43, 42] from Operation: 57-15=42
Current State: 61:[61, 43, 42], Operations: ['57-15=42']
Exploring Operation: 43-42=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 43-42=1
Current State: 61:[61, 1], Operations: ['57-15=42', '43-42=1']
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 | Current State: 61:[57, 15, 61, 43], Operations: []
Exploring Operation: 57+15=72, Resulting Numbers: [61, 43, 72]
Generated Node #0,0: 61:[61, 43, 72] Operation: 57+15=72
Exploring Operation: 57-15=42, Resulting Numbers: [61, 43, 42]
Generated Node #0,1: 61:[61, 43, 42] Operation: 57-15=42
Exploring Operation: 15+43=58, Resulting Numbers: [57, 61, 58]
Generated Node #0,2: 61:[57, 61, 58] Operation: 15+43=58
Exploring Operation: 61-15=46, Resulting Numbers: [57, 43, 46]
Generated Node #0,3: 61:[57, 43, 46] Operation: 61-15=46
Exploring Operation: 15+61=76, Resulting Numbers: [57, 43, 76]
Generated Node #0,4: 61:[57, 43, 76] Operation: 15+61=76
Moving to Node #0,2
Current State: 61:[57, 61, 58], Operations: ['15+43=58']
Exploring Operation: 61+58=119, Resulting Numbers: [57, 119]
Generated Node #0,2,0: 61:[57, 119] Operation: 61+58=119
Exploring Operation: 58-57=1, Resulting Numbers: [61, 1]
Generated Node #0,2,1: 61:[61, 1] Operation: 58-57=1
Exploring Operation: 61-57=4, Resulting Numbers: [58, 4]
Generated Node #0,2,2: 61:[58, 4] Operation: 61-57=4
Exploring Operation: 57+61=118, Resulting Numbers: [58, 118]
Generated Node #0,2,3: 61:[58, 118] Operation: 57+61=118
Exploring Operation: 57+58=115, Resulting Numbers: [61, 115]
Generated Node #0,2,4: 61:[61, 115] Operation: 57+58=115
Moving to Node #0,0
Current State: 61:[61, 43, 72], Operations: ['57+15=72']
Exploring Operation: 43+72=115, Resulting Numbers: [61, 115]
Generated Node #0,0,0: 61:[61, 115] Operation: 43+72=115
Exploring Operation: 72-61=11, Resulting Numbers: [43, 11]
Generated Node #0,0,1: 61:[43, 11] Operation: 72-61=11
Exploring Operation: 61-43=18, Resulting Numbers: [72, 18]
Generated Node #0,0,2: 61:[72, 18] Operation: 61-43=18
Exploring Operation: 72-43=29, Resulting Numbers: [61, 29]
Generated Node #0,0,3: 61:[61, 29] Operation: 72-43=29
Exploring Operation: 61+43=104, Resulting Numbers: [72, 104]
Generated Node #0,0,4: 61:[72, 104] Operation: 61+43=104
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 61:[61, 29], Operations: ['57+15=72', '72-43=29']
Exploring Operation: 61+29=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 61*29=1769, Resulting Numbers: [1769]
1769,61 unequal: No Solution
Exploring Operation: 61-29=32, Resulting Numbers: [32]
32,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 61:[61, 115], Operations: ['57+15=72', '43+72=115']
Exploring Operation: 61+115=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 61*115=7015, Resulting Numbers: [7015]
7015,61 unequal: No Solution
Exploring Operation: 115-61=54, Resulting Numbers: [54]
54,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 61:[72, 18], Operations: ['57+15=72', '61-43=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,61 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,61 unequal: No Solution
Exploring Operation: 72+18=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 72*18=1296, Resulting Numbers: [1296]
1296,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 61:[72, 104], Operations: ['57+15=72', '61+43=104']
Exploring Operation: 104-72=32, Resulting Numbers: [32]
32,61 unequal: No Solution
Exploring Operation: 72+104=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 72*104=7488, Resulting Numbers: [7488]
7488,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 61:[43, 11], Operations: ['57+15=72', '72-61=11']
Exploring Operation: 43+11=54, Resulting Numbers: [54]
54,61 unequal: No Solution
Exploring Operation: 43*11=473, Resulting Numbers: [473]
473,61 unequal: No Solution
Exploring Operation: 43-11=32, Resulting Numbers: [32]
32,61 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 61:[61, 43, 42], Operations: ['57-15=42']
Exploring Operation: 43+42=85, Resulting Numbers: [61, 85]
Generated Node #0,1,0: 61:[61, 85] Operation: 43+42=85
Exploring Operation: 61+43=104, Resulting Numbers: [42, 104]
Generated Node #0,1,1: 61:[42, 104] Operation: 61+43=104
Exploring Operation: 43-42=1, Resulting Numbers: [61, 1]
Generated Node #0,1,2: 61:[61, 1] Operation: 43-42=1
Exploring Operation: 61-42=19, Resulting Numbers: [43, 19]
Generated Node #0,1,3: 61:[43, 19] Operation: 61-42=19
Exploring Operation: 61+42=103, Resulting Numbers: [43, 103]
Generated Node #0,1,4: 61:[43, 103] Operation: 61+42=103
Moving to Node #0,3
Current State: 61:[57, 43, 46], Operations: ['61-15=46']
Exploring Operation: 46-43=3, Resulting Numbers: [57, 3]
Generated Node #0,3,0: 61:[57, 3] Operation: 46-43=3
Exploring Operation: 57-43=14, Resulting Numbers: [46, 14]
Generated Node #0,3,1: 61:[46, 14] Operation: 57-43=14
Exploring Operation: 43+46=89, Resulting Numbers: [57, 89]
Generated Node #0,3,2: 61:[57, 89] Operation: 43+46=89
Exploring Operation: 57+43=100, Resulting Numbers: [46, 100]
Generated Node #0,3,3: 61:[46, 100] Operation: 57+43=100
Exploring Operation: 57+46=103, Resulting Numbers: [43, 103]
Generated Node #0,3,4: 61:[43, 103] Operation: 57+46=103
Moving to Node #0,4
Current State: 61:[57, 43, 76], Operations: ['15+61=76']
Exploring Operation: 43+76=119, Resulting Numbers: [57, 119]
Generated Node #0,4,0: 61:[57, 119] Operation: 43+76=119
Exploring Operation: 57-43=14, Resulting Numbers: [76, 14]
Generated Node #0,4,1: 61:[76, 14] Operation: 57-43=14
Exploring Operation: 76-57=19, Resulting Numbers: [43, 19]
Generated Node #0,4,2: 61:[43, 19] Operation: 76-57=19
Exploring Operation: 76-43=33, Resulting Numbers: [57, 33]
Generated Node #0,4,3: 61:[57, 33] Operation: 76-43=33
Exploring Operation: 57+43=100, Resulting Numbers: [76, 100]
Generated Node #0,4,4: 61:[76, 100] Operation: 57+43=100
Moving to Node #0,1,0
Current State: 61:[61, 85], Operations: ['57-15=42', '43+42=85']
Exploring Operation: 61+85=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Exploring Operation: 61*85=5185, Resulting Numbers: [5185]
5185,61 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[57, 89], Operations: ['61-15=46', '43+46=89']
Exploring Operation: 57*89=5073, Resulting Numbers: [5073]
5073,61 unequal: No Solution
Exploring Operation: 89-57=32, Resulting Numbers: [32]
32,61 unequal: No Solution
Exploring Operation: 57+89=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Moving to Node #0,4,3
Current State: 61:[57, 33], Operations: ['15+61=76', '76-43=33']
Exploring Operation: 57-33=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 57+33=90, Resulting Numbers: [90]
90,61 unequal: No Solution
Exploring Operation: 57*33=1881, Resulting Numbers: [1881]
1881,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[61, 115], Operations: ['15+43=58', '57+58=115']
Exploring Operation: 115-61=54, Resulting Numbers: [54]
54,61 unequal: No Solution
Exploring Operation: 61+115=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 61*115=7015, Resulting Numbers: [7015]
7015,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[46, 100], Operations: ['61-15=46', '57+43=100']
Exploring Operation: 46+100=146, Resulting Numbers: [146]
146,61 unequal: No Solution
Exploring Operation: 46*100=4600, Resulting Numbers: [4600]
4600,61 unequal: No Solution
Exploring Operation: 100-46=54, Resulting Numbers: [54]
54,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[76, 100], Operations: ['15+61=76', '57+43=100']
Exploring Operation: 76+100=176, Resulting Numbers: [176]
176,61 unequal: No Solution
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,61 unequal: No Solution
Exploring Operation: 76*100=7600, Resulting Numbers: [7600]
7600,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[61, 1], Operations: ['57-15=42', '43-42=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
Moving to Node #0
Current State: 61:[57, 15, 61, 43], Operations: []
Exploring Operation: 57-15=42, Resulting Numbers: [61, 43, 42]
Generated Node #0,1: 61:[61, 43, 42] Operation: 57-15=42
Moving to Node #0,1
Current State: 61:[61, 43, 42], Operations: ['57-15=42']
Exploring Operation: 43-42=1, Resulting Numbers: [61, 1]
Generated Node #0,1,2: 61:[61, 1] Operation: 43-42=1
Moving to Node #0,1,2
Current State: 61:[61, 1], Operations: ['57-15=42', '43-42=1']
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 0.940104 | hs_5 | sum_heuristic |
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