nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
49,
26,
5,
50
] | 21 | [
"50-49=1",
"26-5=21",
"1*21=21"
] | Current State: 21:[49, 26, 5, 50], Operations: []
Exploring Operation: 50-49=1, Resulting Numbers: [26, 5, 1]
Generated Node #2: [26, 5, 1] from Operation: 50-49=1
Current State: 21:[26, 5, 1], Operations: ['50-49=1']
Exploring Operation: 26-5=21, Resulting Numbers: [1, 21]
Generated Node #3: [1, 21] from Operation: 26-5=21
Current State: 21:[1, 21], Operations: ['50-49=1', '26-5=21']
Exploring Operation: 1*21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
46,
25,
8,
64
] | 13 | [
"46-25=21",
"64/8=8",
"21-8=13"
] | Current State: 13:[46, 25, 8, 64], Operations: []
Exploring Operation: 46-25=21, Resulting Numbers: [8, 64, 21]
Generated Node #2: [8, 64, 21] from Operation: 46-25=21
Current State: 13:[8, 64, 21], Operations: ['46-25=21']
Exploring Operation: 64/8=8, Resulting Numbers: [21, 8]
Generated Node #3: [21, 8] from Operation: 64/8=8
Current State: 13:[21, 8], Operations: ['46-25=21', '64/8=8']
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
56,
15,
3,
66
] | 29 | [
"15+66=81",
"81/3=27",
"56-27=29"
] | Current State: 29:[56, 15, 3, 66], Operations: []
Exploring Operation: 15+66=81, Resulting Numbers: [56, 3, 81]
Generated Node #2: [56, 3, 81] from Operation: 15+66=81
Current State: 29:[56, 3, 81], Operations: ['15+66=81']
Exploring Operation: 81/3=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 81/3=27
Current State: 29:[56, 27], Operations: ['15+66=81', '81/3=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
77,
3,
80,
51
] | 50 | [
"77+3=80",
"80/80=1",
"51-1=50"
] | Current State: 50:[77, 3, 80, 51], Operations: []
Exploring Operation: 77+3=80, Resulting Numbers: [80, 51, 80]
Generated Node #2: [80, 51, 80] from Operation: 77+3=80
Current State: 50:[80, 51, 80], Operations: ['77+3=80']
Exploring Operation: 80/80=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 80/80=1
Current State: 50:[51, 1], Operations: ['77+3=80', '80/80=1']
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
55,
24,
4,
4
] | 47 | [
"55-24=31",
"4*4=16",
"31+16=47"
] | Current State: 47:[55, 24, 4, 4], Operations: []
Exploring Operation: 55-24=31, Resulting Numbers: [4, 4, 31]
Generated Node #2: [4, 4, 31] from Operation: 55-24=31
Current State: 47:[4, 4, 31], Operations: ['55-24=31']
Exploring Operation: 4*4=16, Resulting Numbers: [31, 16]
Generated Node #3: [31, 16] from Operation: 4*4=16
Current State: 47:[31, 16], Operations: ['55-24=31', '4*4=16']
Exploring Operation: 31+16=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
6,
15,
77,
76
] | 63 | [
"6*15=90",
"77+76=153",
"153-90=63"
] | Current State: 63:[6, 15, 77, 76], Operations: []
Exploring Operation: 6*15=90, Resulting Numbers: [77, 76, 90]
Generated Node #2: [77, 76, 90] from Operation: 6*15=90
Current State: 63:[77, 76, 90], Operations: ['6*15=90']
Exploring Operation: 77+76=153, Resulting Numbers: [90, 153]
Generated Node #3: [90, 153] from Operation: 77+76=153
Current State: 63:[90, 153], Operations: ['6*15=90', '77+76=153']
Exploring Operation: 153-90=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
74,
35,
9,
70
] | 100 | [
"74-35=39",
"70-9=61",
"39+61=100"
] | Current State: 100:[74, 35, 9, 70], Operations: []
Exploring Operation: 74-35=39, Resulting Numbers: [9, 70, 39]
Generated Node #2: [9, 70, 39] from Operation: 74-35=39
Current State: 100:[9, 70, 39], Operations: ['74-35=39']
Exploring Operation: 70-9=61, Resulting Numbers: [39, 61]
Generated Node #3: [39, 61] from Operation: 70-9=61
Current State: 100:[39, 61], Operations: ['74-35=39', '70-9=61']
Exploring Operation: 39+61=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
41,
12,
96,
2
] | 66 | [
"96/12=8",
"41-8=33",
"2*33=66"
] | Current State: 66:[41, 12, 96, 2], Operations: []
Exploring Operation: 96/12=8, Resulting Numbers: [41, 2, 8]
Generated Node #2: [41, 2, 8] from Operation: 96/12=8
Current State: 66:[41, 2, 8], Operations: ['96/12=8']
Exploring Operation: 41-8=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 41-8=33
Current State: 66:[2, 33], Operations: ['96/12=8', '41-8=33']
Exploring Operation: 2*33=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
22,
95,
81,
72
] | 64 | [
"95-22=73",
"81-72=9",
"73-9=64"
] | Current State: 64:[22, 95, 81, 72], Operations: []
Exploring Operation: 95-22=73, Resulting Numbers: [81, 72, 73]
Generated Node #2: [81, 72, 73] from Operation: 95-22=73
Current State: 64:[81, 72, 73], Operations: ['95-22=73']
Exploring Operation: 81-72=9, Resulting Numbers: [73, 9]
Generated Node #3: [73, 9] from Operation: 81-72=9
Current State: 64:[73, 9], Operations: ['95-22=73', '81-72=9']
Exploring Operation: 73-9=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
26,
30,
3,
93
] | 27 | [
"30-26=4",
"93/3=31",
"31-4=27"
] | Current State: 27:[26, 30, 3, 93], Operations: []
Exploring Operation: 30-26=4, Resulting Numbers: [3, 93, 4]
Generated Node #2: [3, 93, 4] from Operation: 30-26=4
Current State: 27:[3, 93, 4], Operations: ['30-26=4']
Exploring Operation: 93/3=31, Resulting Numbers: [4, 31]
Generated Node #3: [4, 31] from Operation: 93/3=31
Current State: 27:[4, 31], Operations: ['30-26=4', '93/3=31']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
56,
76,
66,
4
] | 95 | [
"66+4=70",
"76*70=5320",
"5320/56=95"
] | Current State: 95:[56, 76, 66, 4], Operations: []
Exploring Operation: 66+4=70, Resulting Numbers: [56, 76, 70]
Generated Node #2: [56, 76, 70] from Operation: 66+4=70
Current State: 95:[56, 76, 70], Operations: ['66+4=70']
Exploring Operation: 76*70=5320, Resulting Numbers: [56, 5320]
Generated Node #3: [56, 5320] from Operation: 76*70=5320
Current State: 95:[56, 5320], Operations: ['66+4=70', '76*70=5320']
Exploring Operation: 5320/56=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
8,
10,
91,
78
] | 84 | [
"78-8=70",
"70/10=7",
"91-7=84"
] | Current State: 84:[8, 10, 91, 78], Operations: []
Exploring Operation: 78-8=70, Resulting Numbers: [10, 91, 70]
Generated Node #2: [10, 91, 70] from Operation: 78-8=70
Current State: 84:[10, 91, 70], Operations: ['78-8=70']
Exploring Operation: 70/10=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 70/10=7
Current State: 84:[91, 7], Operations: ['78-8=70', '70/10=7']
Exploring Operation: 91-7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
72,
37,
38,
80
] | 68 | [
"72*37=2664",
"2664-80=2584",
"2584/38=68"
] | Current State: 68:[72, 37, 38, 80], Operations: []
Exploring Operation: 72*37=2664, Resulting Numbers: [38, 80, 2664]
Generated Node #2: [38, 80, 2664] from Operation: 72*37=2664
Current State: 68:[38, 80, 2664], Operations: ['72*37=2664']
Exploring Operation: 2664-80=2584, Resulting Numbers: [38, 2584]
Generated Node #3: [38, 2584] from Operation: 2664-80=2584
Current State: 68:[38, 2584], Operations: ['72*37=2664', '2664-80=2584']
Exploring Operation: 2584/38=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
94,
24,
7,
23
] | 43 | [
"94+24=118",
"7*23=161",
"161-118=43"
] | Current State: 43:[94, 24, 7, 23], Operations: []
Exploring Operation: 94+24=118, Resulting Numbers: [7, 23, 118]
Generated Node #2: [7, 23, 118] from Operation: 94+24=118
Current State: 43:[7, 23, 118], Operations: ['94+24=118']
Exploring Operation: 7*23=161, Resulting Numbers: [118, 161]
Generated Node #3: [118, 161] from Operation: 7*23=161
Current State: 43:[118, 161], Operations: ['94+24=118', '7*23=161']
Exploring Operation: 161-118=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
29,
79,
54,
20
] | 85 | [
"29-20=9",
"54/9=6",
"79+6=85"
] | Current State: 85:[29, 79, 54, 20], Operations: []
Exploring Operation: 29-20=9, Resulting Numbers: [79, 54, 9]
Generated Node #2: [79, 54, 9] from Operation: 29-20=9
Current State: 85:[79, 54, 9], Operations: ['29-20=9']
Exploring Operation: 54/9=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 54/9=6
Current State: 85:[79, 6], Operations: ['29-20=9', '54/9=6']
Exploring Operation: 79+6=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
57,
50,
68,
29
] | 90 | [
"57-50=7",
"68+29=97",
"97-7=90"
] | Current State: 90:[57, 50, 68, 29], Operations: []
Exploring Operation: 57-50=7, Resulting Numbers: [68, 29, 7]
Generated Node #2: [68, 29, 7] from Operation: 57-50=7
Current State: 90:[68, 29, 7], Operations: ['57-50=7']
Exploring Operation: 68+29=97, Resulting Numbers: [7, 97]
Generated Node #3: [7, 97] from Operation: 68+29=97
Current State: 90:[7, 97], Operations: ['57-50=7', '68+29=97']
Exploring Operation: 97-7=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
86,
45,
77,
17
] | 31 | [
"77*17=1309",
"86+1309=1395",
"1395/45=31"
] | Current State: 31:[86, 45, 77, 17], Operations: []
Exploring Operation: 77*17=1309, Resulting Numbers: [86, 45, 1309]
Generated Node #2: [86, 45, 1309] from Operation: 77*17=1309
Current State: 31:[86, 45, 1309], Operations: ['77*17=1309']
Exploring Operation: 86+1309=1395, Resulting Numbers: [45, 1395]
Generated Node #3: [45, 1395] from Operation: 86+1309=1395
Current State: 31:[45, 1395], Operations: ['77*17=1309', '86+1309=1395']
Exploring Operation: 1395/45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
25,
26,
12,
83
] | 44 | [
"25+26=51",
"12+83=95",
"95-51=44"
] | Current State: 44:[25, 26, 12, 83], Operations: []
Exploring Operation: 25+26=51, Resulting Numbers: [12, 83, 51]
Generated Node #2: [12, 83, 51] from Operation: 25+26=51
Current State: 44:[12, 83, 51], Operations: ['25+26=51']
Exploring Operation: 12+83=95, Resulting Numbers: [51, 95]
Generated Node #3: [51, 95] from Operation: 12+83=95
Current State: 44:[51, 95], Operations: ['25+26=51', '12+83=95']
Exploring Operation: 95-51=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
65,
8,
73,
5
] | 24 | [
"73-65=8",
"8-5=3",
"8*3=24"
] | Current State: 24:[65, 8, 73, 5], Operations: []
Exploring Operation: 73-65=8, Resulting Numbers: [8, 5, 8]
Generated Node #2: [8, 5, 8] from Operation: 73-65=8
Current State: 24:[8, 5, 8], Operations: ['73-65=8']
Exploring Operation: 8-5=3, Resulting Numbers: [3]
3,24 equal: Goal Reached
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
48,
40,
62,
58
] | 58 | [
"58-48=10",
"40/10=4",
"62-4=58"
] | Current State: 58:[48, 40, 62, 58], Operations: []
Exploring Operation: 58-48=10, Resulting Numbers: [40, 62, 10]
Generated Node #2: [40, 62, 10] from Operation: 58-48=10
Current State: 58:[40, 62, 10], Operations: ['58-48=10']
Exploring Operation: 40/10=4, Resulting Numbers: [62, 4]
Generated Node #3: [62, 4] from Operation: 40/10=4
Current State: 58:[62, 4], Operations: ['58-48=10', '40/10=4']
Exploring Operation: 62-4=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
54,
29,
6,
60
] | 41 | [
"54-29=25",
"6+60=66",
"66-25=41"
] | Current State: 41:[54, 29, 6, 60], Operations: []
Exploring Operation: 54-29=25, Resulting Numbers: [6, 60, 25]
Generated Node #2: [6, 60, 25] from Operation: 54-29=25
Current State: 41:[6, 60, 25], Operations: ['54-29=25']
Exploring Operation: 6+60=66, Resulting Numbers: [25, 66]
Generated Node #3: [25, 66] from Operation: 6+60=66
Current State: 41:[25, 66], Operations: ['54-29=25', '6+60=66']
Exploring Operation: 66-25=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
51,
71,
79,
25
] | 57 | [
"71+79=150",
"150/25=6",
"51+6=57"
] | Current State: 57:[51, 71, 79, 25], Operations: []
Exploring Operation: 71+79=150, Resulting Numbers: [51, 25, 150]
Generated Node #2: [51, 25, 150] from Operation: 71+79=150
Current State: 57:[51, 25, 150], Operations: ['71+79=150']
Exploring Operation: 150/25=6, Resulting Numbers: [51, 6]
Generated Node #3: [51, 6] from Operation: 150/25=6
Current State: 57:[51, 6], Operations: ['71+79=150', '150/25=6']
Exploring Operation: 51+6=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
8,
35,
64,
2
] | 76 | [
"8*35=280",
"280/2=140",
"140-64=76"
] | Current State: 76:[8, 35, 64, 2], Operations: []
Exploring Operation: 8*35=280, Resulting Numbers: [64, 2, 280]
Generated Node #2: [64, 2, 280] from Operation: 8*35=280
Current State: 76:[64, 2, 280], Operations: ['8*35=280']
Exploring Operation: 280/2=140, Resulting Numbers: [64, 140]
Generated Node #3: [64, 140] from Operation: 280/2=140
Current State: 76:[64, 140], Operations: ['8*35=280', '280/2=140']
Exploring Operation: 140-64=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
9,
33,
75,
31
] | 20 | [
"33-9=24",
"75-31=44",
"44-24=20"
] | Current State: 20:[9, 33, 75, 31], Operations: []
Exploring Operation: 33-9=24, Resulting Numbers: [75, 31, 24]
Generated Node #2: [75, 31, 24] from Operation: 33-9=24
Current State: 20:[75, 31, 24], Operations: ['33-9=24']
Exploring Operation: 75-31=44, Resulting Numbers: [24, 44]
Generated Node #3: [24, 44] from Operation: 75-31=44
Current State: 20:[24, 44], Operations: ['33-9=24', '75-31=44']
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
11,
2,
61,
44
] | 96 | [
"11-2=9",
"61+44=105",
"105-9=96"
] | Current State: 96:[11, 2, 61, 44], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [61, 44, 9]
Generated Node #2: [61, 44, 9] from Operation: 11-2=9
Current State: 96:[61, 44, 9], Operations: ['11-2=9']
Exploring Operation: 61+44=105, Resulting Numbers: [9, 105]
Generated Node #3: [9, 105] from Operation: 61+44=105
Current State: 96:[9, 105], Operations: ['11-2=9', '61+44=105']
Exploring Operation: 105-9=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
12,
51,
54,
3
] | 31 | [
"51-12=39",
"54+39=93",
"93/3=31"
] | Current State: 31:[12, 51, 54, 3], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [54, 3, 39]
Generated Node #2: [54, 3, 39] from Operation: 51-12=39
Current State: 31:[54, 3, 39], Operations: ['51-12=39']
Exploring Operation: 54+39=93, Resulting Numbers: [3, 93]
Generated Node #3: [3, 93] from Operation: 54+39=93
Current State: 31:[3, 93], Operations: ['51-12=39', '54+39=93']
Exploring Operation: 93/3=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
66,
24,
81,
13
] | 87 | [
"24-13=11",
"66/11=6",
"81+6=87"
] | Current State: 87:[66, 24, 81, 13], Operations: []
Exploring Operation: 24-13=11, Resulting Numbers: [66, 81, 11]
Generated Node #2: [66, 81, 11] from Operation: 24-13=11
Current State: 87:[66, 81, 11], Operations: ['24-13=11']
Exploring Operation: 66/11=6, Resulting Numbers: [81, 6]
Generated Node #3: [81, 6] from Operation: 66/11=6
Current State: 87:[81, 6], Operations: ['24-13=11', '66/11=6']
Exploring Operation: 81+6=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
50,
33,
32
] | 91 | [
"42+50=92",
"33-32=1",
"92-1=91"
] | Current State: 91:[42, 50, 33, 32], Operations: []
Exploring Operation: 42+50=92, Resulting Numbers: [33, 32, 92]
Generated Node #2: [33, 32, 92] from Operation: 42+50=92
Current State: 91:[33, 32, 92], Operations: ['42+50=92']
Exploring Operation: 33-32=1, Resulting Numbers: [92, 1]
Generated Node #3: [92, 1] from Operation: 33-32=1
Current State: 91:[92, 1], Operations: ['42+50=92', '33-32=1']
Exploring Operation: 92-1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
64,
59,
10,
36
] | 18 | [
"64-59=5",
"10/5=2",
"36/2=18"
] | Current State: 18:[64, 59, 10, 36], Operations: []
Exploring Operation: 64-59=5, Resulting Numbers: [10, 36, 5]
Generated Node #2: [10, 36, 5] from Operation: 64-59=5
Current State: 18:[10, 36, 5], Operations: ['64-59=5']
Exploring Operation: 10/5=2, Resulting Numbers: [36, 2]
Generated Node #3: [36, 2] from Operation: 10/5=2
Current State: 18:[36, 2], Operations: ['64-59=5', '10/5=2']
Exploring Operation: 36/2=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
43,
2,
23,
48
] | 42 | [
"43+23=66",
"48/2=24",
"66-24=42"
] | Current State: 42:[43, 2, 23, 48], Operations: []
Exploring Operation: 43+23=66, Resulting Numbers: [2, 48, 66]
Generated Node #2: [2, 48, 66] from Operation: 43+23=66
Current State: 42:[2, 48, 66], Operations: ['43+23=66']
Exploring Operation: 48/2=24, Resulting Numbers: [66, 24]
Generated Node #3: [66, 24] from Operation: 48/2=24
Current State: 42:[66, 24], Operations: ['43+23=66', '48/2=24']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
90,
85,
80,
77
] | 55 | [
"80-77=3",
"90/3=30",
"85-30=55"
] | Current State: 55:[90, 85, 80, 77], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [90, 85, 3]
Generated Node #2: [90, 85, 3] from Operation: 80-77=3
Current State: 55:[90, 85, 3], Operations: ['80-77=3']
Exploring Operation: 90/3=30, Resulting Numbers: [85, 30]
Generated Node #3: [85, 30] from Operation: 90/3=30
Current State: 55:[85, 30], Operations: ['80-77=3', '90/3=30']
Exploring Operation: 85-30=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
54,
61,
95,
24
] | 78 | [
"61-54=7",
"95-24=71",
"7+71=78"
] | Current State: 78:[54, 61, 95, 24], Operations: []
Exploring Operation: 61-54=7, Resulting Numbers: [95, 24, 7]
Generated Node #2: [95, 24, 7] from Operation: 61-54=7
Current State: 78:[95, 24, 7], Operations: ['61-54=7']
Exploring Operation: 95-24=71, Resulting Numbers: [7, 71]
Generated Node #3: [7, 71] from Operation: 95-24=71
Current State: 78:[7, 71], Operations: ['61-54=7', '95-24=71']
Exploring Operation: 7+71=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
15,
37,
21,
33
] | 33 | [
"37-15=22",
"22-21=1",
"33*1=33"
] | Current State: 33:[15, 37, 21, 33], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [21, 33, 22]
Generated Node #2: [21, 33, 22] from Operation: 37-15=22
Current State: 33:[21, 33, 22], Operations: ['37-15=22']
Exploring Operation: 22-21=1, Resulting Numbers: [33, 1]
Generated Node #3: [33, 1] from Operation: 22-21=1
Current State: 33:[33, 1], Operations: ['37-15=22', '22-21=1']
Exploring Operation: 33*1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
46,
25,
27,
36
] | 80 | [
"46+25=71",
"36-27=9",
"71+9=80"
] | Current State: 80:[46, 25, 27, 36], Operations: []
Exploring Operation: 46+25=71, Resulting Numbers: [27, 36, 71]
Generated Node #2: [27, 36, 71] from Operation: 46+25=71
Current State: 80:[27, 36, 71], Operations: ['46+25=71']
Exploring Operation: 36-27=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 36-27=9
Current State: 80:[71, 9], Operations: ['46+25=71', '36-27=9']
Exploring Operation: 71+9=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
43,
22,
28,
13
] | 33 | [
"43+22=65",
"65/13=5",
"28+5=33"
] | Current State: 33:[43, 22, 28, 13], Operations: []
Exploring Operation: 43+22=65, Resulting Numbers: [28, 13, 65]
Generated Node #2: [28, 13, 65] from Operation: 43+22=65
Current State: 33:[28, 13, 65], Operations: ['43+22=65']
Exploring Operation: 65/13=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 65/13=5
Current State: 33:[28, 5], Operations: ['43+22=65', '65/13=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
48,
41,
11,
13
] | 54 | [
"48+41=89",
"11*13=143",
"143-89=54"
] | Current State: 54:[48, 41, 11, 13], Operations: []
Exploring Operation: 48+41=89, Resulting Numbers: [11, 13, 89]
Generated Node #2: [11, 13, 89] from Operation: 48+41=89
Current State: 54:[11, 13, 89], Operations: ['48+41=89']
Exploring Operation: 11*13=143, Resulting Numbers: [89, 143]
Generated Node #3: [89, 143] from Operation: 11*13=143
Current State: 54:[89, 143], Operations: ['48+41=89', '11*13=143']
Exploring Operation: 143-89=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
39,
29,
56,
20
] | 76 | [
"39*56=2184",
"20+2184=2204",
"2204/29=76"
] | Current State: 76:[39, 29, 56, 20], Operations: []
Exploring Operation: 39*56=2184, Resulting Numbers: [29, 20, 2184]
Generated Node #2: [29, 20, 2184] from Operation: 39*56=2184
Current State: 76:[29, 20, 2184], Operations: ['39*56=2184']
Exploring Operation: 20+2184=2204, Resulting Numbers: [29, 2204]
Generated Node #3: [29, 2204] from Operation: 20+2184=2204
Current State: 76:[29, 2204], Operations: ['39*56=2184', '20+2184=2204']
Exploring Operation: 2204/29=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
37,
58,
35,
24
] | 62 | [
"37*58=2146",
"24+2146=2170",
"2170/35=62"
] | Current State: 62:[37, 58, 35, 24], Operations: []
Exploring Operation: 37*58=2146, Resulting Numbers: [35, 24, 2146]
Generated Node #2: [35, 24, 2146] from Operation: 37*58=2146
Current State: 62:[35, 24, 2146], Operations: ['37*58=2146']
Exploring Operation: 24+2146=2170, Resulting Numbers: [35, 2170]
Generated Node #3: [35, 2170] from Operation: 24+2146=2170
Current State: 62:[35, 2170], Operations: ['37*58=2146', '24+2146=2170']
Exploring Operation: 2170/35=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
28,
88,
60
] | 53 | [
"28-3=25",
"88-60=28",
"25+28=53"
] | Current State: 53:[3, 28, 88, 60], Operations: []
Exploring Operation: 28-3=25, Resulting Numbers: [88, 60, 25]
Generated Node #2: [88, 60, 25] from Operation: 28-3=25
Current State: 53:[88, 60, 25], Operations: ['28-3=25']
Exploring Operation: 88-60=28, Resulting Numbers: [25, 28]
Generated Node #3: [25, 28] from Operation: 88-60=28
Current State: 53:[25, 28], Operations: ['28-3=25', '88-60=28']
Exploring Operation: 25+28=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
85,
90,
55,
7
] | 80 | [
"85+90=175",
"175/7=25",
"55+25=80"
] | Current State: 80:[85, 90, 55, 7], Operations: []
Exploring Operation: 85+90=175, Resulting Numbers: [55, 7, 175]
Generated Node #2: [55, 7, 175] from Operation: 85+90=175
Current State: 80:[55, 7, 175], Operations: ['85+90=175']
Exploring Operation: 175/7=25, Resulting Numbers: [55, 25]
Generated Node #3: [55, 25] from Operation: 175/7=25
Current State: 80:[55, 25], Operations: ['85+90=175', '175/7=25']
Exploring Operation: 55+25=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
63,
42,
97,
2
] | 71 | [
"63*2=126",
"97-42=55",
"126-55=71"
] | Current State: 71:[63, 42, 97, 2], Operations: []
Exploring Operation: 63*2=126, Resulting Numbers: [42, 97, 126]
Generated Node #2: [42, 97, 126] from Operation: 63*2=126
Current State: 71:[42, 97, 126], Operations: ['63*2=126']
Exploring Operation: 97-42=55, Resulting Numbers: [126, 55]
Generated Node #3: [126, 55] from Operation: 97-42=55
Current State: 71:[126, 55], Operations: ['63*2=126', '97-42=55']
Exploring Operation: 126-55=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
28,
84,
35,
22
] | 83 | [
"84/28=3",
"35*3=105",
"105-22=83"
] | Current State: 83:[28, 84, 35, 22], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [35, 22, 3]
Generated Node #2: [35, 22, 3] from Operation: 84/28=3
Current State: 83:[35, 22, 3], Operations: ['84/28=3']
Exploring Operation: 35*3=105, Resulting Numbers: [22, 105]
Generated Node #3: [22, 105] from Operation: 35*3=105
Current State: 83:[22, 105], Operations: ['84/28=3', '35*3=105']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
59,
3,
22,
20
] | 91 | [
"59-22=37",
"3*37=111",
"111-20=91"
] | Current State: 91:[59, 3, 22, 20], Operations: []
Exploring Operation: 59-22=37, Resulting Numbers: [3, 20, 37]
Generated Node #2: [3, 20, 37] from Operation: 59-22=37
Current State: 91:[3, 20, 37], Operations: ['59-22=37']
Exploring Operation: 3*37=111, Resulting Numbers: [20, 111]
Generated Node #3: [20, 111] from Operation: 3*37=111
Current State: 91:[20, 111], Operations: ['59-22=37', '3*37=111']
Exploring Operation: 111-20=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
22,
69,
63,
96
] | 36 | [
"69-63=6",
"22*6=132",
"132-96=36"
] | Current State: 36:[22, 69, 63, 96], Operations: []
Exploring Operation: 69-63=6, Resulting Numbers: [22, 96, 6]
Generated Node #2: [22, 96, 6] from Operation: 69-63=6
Current State: 36:[22, 96, 6], Operations: ['69-63=6']
Exploring Operation: 22*6=132, Resulting Numbers: [96, 132]
Generated Node #3: [96, 132] from Operation: 22*6=132
Current State: 36:[96, 132], Operations: ['69-63=6', '22*6=132']
Exploring Operation: 132-96=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
74,
30,
10,
52
] | 66 | [
"74-52=22",
"30/10=3",
"22*3=66"
] | Current State: 66:[74, 30, 10, 52], Operations: []
Exploring Operation: 74-52=22, Resulting Numbers: [30, 10, 22]
Generated Node #2: [30, 10, 22] from Operation: 74-52=22
Current State: 66:[30, 10, 22], Operations: ['74-52=22']
Exploring Operation: 30/10=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 30/10=3
Current State: 66:[22, 3], Operations: ['74-52=22', '30/10=3']
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
20,
56,
2,
19
] | 94 | [
"56-19=37",
"2*37=74",
"20+74=94"
] | Current State: 94:[20, 56, 2, 19], Operations: []
Exploring Operation: 56-19=37, Resulting Numbers: [20, 2, 37]
Generated Node #2: [20, 2, 37] from Operation: 56-19=37
Current State: 94:[20, 2, 37], Operations: ['56-19=37']
Exploring Operation: 2*37=74, Resulting Numbers: [20, 74]
Generated Node #3: [20, 74] from Operation: 2*37=74
Current State: 94:[20, 74], Operations: ['56-19=37', '2*37=74']
Exploring Operation: 20+74=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
64,
62,
1,
49
] | 52 | [
"64-62=2",
"1+49=50",
"2+50=52"
] | Current State: 52:[64, 62, 1, 49], Operations: []
Exploring Operation: 64-62=2, Resulting Numbers: [1, 49, 2]
Generated Node #2: [1, 49, 2] from Operation: 64-62=2
Current State: 52:[1, 49, 2], Operations: ['64-62=2']
Exploring Operation: 1+49=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 1+49=50
Current State: 52:[2, 50], Operations: ['64-62=2', '1+49=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
70,
41,
89,
35
] | 83 | [
"70-41=29",
"89-35=54",
"29+54=83"
] | Current State: 83:[70, 41, 89, 35], Operations: []
Exploring Operation: 70-41=29, Resulting Numbers: [89, 35, 29]
Generated Node #2: [89, 35, 29] from Operation: 70-41=29
Current State: 83:[89, 35, 29], Operations: ['70-41=29']
Exploring Operation: 89-35=54, Resulting Numbers: [29, 54]
Generated Node #3: [29, 54] from Operation: 89-35=54
Current State: 83:[29, 54], Operations: ['70-41=29', '89-35=54']
Exploring Operation: 29+54=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
61,
44,
55,
64
] | 19 | [
"55*64=3520",
"3520/44=80",
"80-61=19"
] | Current State: 19:[61, 44, 55, 64], Operations: []
Exploring Operation: 55*64=3520, Resulting Numbers: [61, 44, 3520]
Generated Node #2: [61, 44, 3520] from Operation: 55*64=3520
Current State: 19:[61, 44, 3520], Operations: ['55*64=3520']
Exploring Operation: 3520/44=80, Resulting Numbers: [61, 80]
Generated Node #3: [61, 80] from Operation: 3520/44=80
Current State: 19:[61, 80], Operations: ['55*64=3520', '3520/44=80']
Exploring Operation: 80-61=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
66,
50,
8,
54
] | 46 | [
"66-50=16",
"8+54=62",
"62-16=46"
] | Current State: 46:[66, 50, 8, 54], Operations: []
Exploring Operation: 66-50=16, Resulting Numbers: [8, 54, 16]
Generated Node #2: [8, 54, 16] from Operation: 66-50=16
Current State: 46:[8, 54, 16], Operations: ['66-50=16']
Exploring Operation: 8+54=62, Resulting Numbers: [16, 62]
Generated Node #3: [16, 62] from Operation: 8+54=62
Current State: 46:[16, 62], Operations: ['66-50=16', '8+54=62']
Exploring Operation: 62-16=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
64,
12,
4,
72
] | 94 | [
"64+12=76",
"72/4=18",
"76+18=94"
] | Current State: 94:[64, 12, 4, 72], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [4, 72, 76]
Generated Node #2: [4, 72, 76] from Operation: 64+12=76
Current State: 94:[4, 72, 76], Operations: ['64+12=76']
Exploring Operation: 72/4=18, Resulting Numbers: [76, 18]
Generated Node #3: [76, 18] from Operation: 72/4=18
Current State: 94:[76, 18], Operations: ['64+12=76', '72/4=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
32,
80,
2,
13
] | 18 | [
"32/2=16",
"80/16=5",
"13+5=18"
] | Current State: 18:[32, 80, 2, 13], Operations: []
Exploring Operation: 32/2=16, Resulting Numbers: [80, 13, 16]
Generated Node #2: [80, 13, 16] from Operation: 32/2=16
Current State: 18:[80, 13, 16], Operations: ['32/2=16']
Exploring Operation: 80/16=5, Resulting Numbers: [13, 5]
Generated Node #3: [13, 5] from Operation: 80/16=5
Current State: 18:[13, 5], Operations: ['32/2=16', '80/16=5']
Exploring Operation: 13+5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
66,
12,
4,
39
] | 19 | [
"66-12=54",
"39-4=35",
"54-35=19"
] | Current State: 19:[66, 12, 4, 39], Operations: []
Exploring Operation: 66-12=54, Resulting Numbers: [4, 39, 54]
Generated Node #2: [4, 39, 54] from Operation: 66-12=54
Current State: 19:[4, 39, 54], Operations: ['66-12=54']
Exploring Operation: 39-4=35, Resulting Numbers: [54, 35]
Generated Node #3: [54, 35] from Operation: 39-4=35
Current State: 19:[54, 35], Operations: ['66-12=54', '39-4=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
61,
3,
79,
58
] | 70 | [
"61-58=3",
"3*3=9",
"79-9=70"
] | Current State: 70:[61, 3, 79, 58], Operations: []
Exploring Operation: 61-58=3, Resulting Numbers: [3, 79, 3]
Generated Node #2: [3, 79, 3] from Operation: 61-58=3
Current State: 70:[3, 79, 3], Operations: ['61-58=3']
Exploring Operation: 3*3=9, Resulting Numbers: [79, 9]
Generated Node #3: [79, 9] from Operation: 3*3=9
Current State: 70:[79, 9], Operations: ['61-58=3', '3*3=9']
Exploring Operation: 79-9=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
42,
62,
5,
66
] | 82 | [
"42*5=210",
"62+66=128",
"210-128=82"
] | Current State: 82:[42, 62, 5, 66], Operations: []
Exploring Operation: 42*5=210, Resulting Numbers: [62, 66, 210]
Generated Node #2: [62, 66, 210] from Operation: 42*5=210
Current State: 82:[62, 66, 210], Operations: ['42*5=210']
Exploring Operation: 62+66=128, Resulting Numbers: [210, 128]
Generated Node #3: [210, 128] from Operation: 62+66=128
Current State: 82:[210, 128], Operations: ['42*5=210', '62+66=128']
Exploring Operation: 210-128=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
24,
90,
44,
50
] | 60 | [
"90-24=66",
"50-44=6",
"66-6=60"
] | Current State: 60:[24, 90, 44, 50], Operations: []
Exploring Operation: 90-24=66, Resulting Numbers: [44, 50, 66]
Generated Node #2: [44, 50, 66] from Operation: 90-24=66
Current State: 60:[44, 50, 66], Operations: ['90-24=66']
Exploring Operation: 50-44=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 50-44=6
Current State: 60:[66, 6], Operations: ['90-24=66', '50-44=6']
Exploring Operation: 66-6=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
42,
32,
21,
54
] | 56 | [
"54-42=12",
"32*21=672",
"672/12=56"
] | Current State: 56:[42, 32, 21, 54], Operations: []
Exploring Operation: 54-42=12, Resulting Numbers: [32, 21, 12]
Generated Node #2: [32, 21, 12] from Operation: 54-42=12
Current State: 56:[32, 21, 12], Operations: ['54-42=12']
Exploring Operation: 32*21=672, Resulting Numbers: [12, 672]
Generated Node #3: [12, 672] from Operation: 32*21=672
Current State: 56:[12, 672], Operations: ['54-42=12', '32*21=672']
Exploring Operation: 672/12=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
99,
61,
63,
96
] | 82 | [
"99-96=3",
"63/3=21",
"61+21=82"
] | Current State: 82:[99, 61, 63, 96], Operations: []
Exploring Operation: 99-96=3, Resulting Numbers: [61, 63, 3]
Generated Node #2: [61, 63, 3] from Operation: 99-96=3
Current State: 82:[61, 63, 3], Operations: ['99-96=3']
Exploring Operation: 63/3=21, Resulting Numbers: [61, 21]
Generated Node #3: [61, 21] from Operation: 63/3=21
Current State: 82:[61, 21], Operations: ['99-96=3', '63/3=21']
Exploring Operation: 61+21=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
5,
5,
41,
3
] | 22 | [
"5*5=25",
"41+25=66",
"66/3=22"
] | Current State: 22:[5, 5, 41, 3], Operations: []
Exploring Operation: 5*5=25, Resulting Numbers: [41, 3, 25]
Generated Node #2: [41, 3, 25] from Operation: 5*5=25
Current State: 22:[41, 3, 25], Operations: ['5*5=25']
Exploring Operation: 41+25=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 41+25=66
Current State: 22:[3, 66], Operations: ['5*5=25', '41+25=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
9,
74,
75,
10
] | 91 | [
"9*10=90",
"75-74=1",
"90+1=91"
] | Current State: 91:[9, 74, 75, 10], Operations: []
Exploring Operation: 9*10=90, Resulting Numbers: [74, 75, 90]
Generated Node #2: [74, 75, 90] from Operation: 9*10=90
Current State: 91:[74, 75, 90], Operations: ['9*10=90']
Exploring Operation: 75-74=1, Resulting Numbers: [90, 1]
Generated Node #3: [90, 1] from Operation: 75-74=1
Current State: 91:[90, 1], Operations: ['9*10=90', '75-74=1']
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
78,
93,
13,
54
] | 56 | [
"93-78=15",
"54-13=41",
"15+41=56"
] | Current State: 56:[78, 93, 13, 54], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [13, 54, 15]
Generated Node #2: [13, 54, 15] from Operation: 93-78=15
Current State: 56:[13, 54, 15], Operations: ['93-78=15']
Exploring Operation: 54-13=41, Resulting Numbers: [15, 41]
Generated Node #3: [15, 41] from Operation: 54-13=41
Current State: 56:[15, 41], Operations: ['93-78=15', '54-13=41']
Exploring Operation: 15+41=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
88,
34,
2,
10
] | 43 | [
"88+2=90",
"90/10=9",
"34+9=43"
] | Current State: 43:[88, 34, 2, 10], Operations: []
Exploring Operation: 88+2=90, Resulting Numbers: [34, 10, 90]
Generated Node #2: [34, 10, 90] from Operation: 88+2=90
Current State: 43:[34, 10, 90], Operations: ['88+2=90']
Exploring Operation: 90/10=9, Resulting Numbers: [34, 9]
Generated Node #3: [34, 9] from Operation: 90/10=9
Current State: 43:[34, 9], Operations: ['88+2=90', '90/10=9']
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
11,
82,
60,
80
] | 41 | [
"82-80=2",
"60/2=30",
"11+30=41"
] | Current State: 41:[11, 82, 60, 80], Operations: []
Exploring Operation: 82-80=2, Resulting Numbers: [11, 60, 2]
Generated Node #2: [11, 60, 2] from Operation: 82-80=2
Current State: 41:[11, 60, 2], Operations: ['82-80=2']
Exploring Operation: 60/2=30, Resulting Numbers: [11, 30]
Generated Node #3: [11, 30] from Operation: 60/2=30
Current State: 41:[11, 30], Operations: ['82-80=2', '60/2=30']
Exploring Operation: 11+30=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
10,
56,
20,
74
] | 16 | [
"20/10=2",
"74-56=18",
"18-2=16"
] | Current State: 16:[10, 56, 20, 74], Operations: []
Exploring Operation: 20/10=2, Resulting Numbers: [56, 74, 2]
Generated Node #2: [56, 74, 2] from Operation: 20/10=2
Current State: 16:[56, 74, 2], Operations: ['20/10=2']
Exploring Operation: 74-56=18, Resulting Numbers: [2, 18]
Generated Node #3: [2, 18] from Operation: 74-56=18
Current State: 16:[2, 18], Operations: ['20/10=2', '74-56=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
54,
66,
38,
11
] | 86 | [
"54+38=92",
"66/11=6",
"92-6=86"
] | Current State: 86:[54, 66, 38, 11], Operations: []
Exploring Operation: 54+38=92, Resulting Numbers: [66, 11, 92]
Generated Node #2: [66, 11, 92] from Operation: 54+38=92
Current State: 86:[66, 11, 92], Operations: ['54+38=92']
Exploring Operation: 66/11=6, Resulting Numbers: [92, 6]
Generated Node #3: [92, 6] from Operation: 66/11=6
Current State: 86:[92, 6], Operations: ['54+38=92', '66/11=6']
Exploring Operation: 92-6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
33,
21,
96,
57
] | 32 | [
"33+21=54",
"57-54=3",
"96/3=32"
] | Current State: 32:[33, 21, 96, 57], Operations: []
Exploring Operation: 33+21=54, Resulting Numbers: [96, 57, 54]
Generated Node #2: [96, 57, 54] from Operation: 33+21=54
Current State: 32:[96, 57, 54], Operations: ['33+21=54']
Exploring Operation: 57-54=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 57-54=3
Current State: 32:[96, 3], Operations: ['33+21=54', '57-54=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
57,
24,
43,
96
] | 93 | [
"43-24=19",
"57/19=3",
"96-3=93"
] | Current State: 93:[57, 24, 43, 96], Operations: []
Exploring Operation: 43-24=19, Resulting Numbers: [57, 96, 19]
Generated Node #2: [57, 96, 19] from Operation: 43-24=19
Current State: 93:[57, 96, 19], Operations: ['43-24=19']
Exploring Operation: 57/19=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 57/19=3
Current State: 93:[96, 3], Operations: ['43-24=19', '57/19=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
72,
50,
88,
12
] | 22 | [
"72+50=122",
"88+12=100",
"122-100=22"
] | Current State: 22:[72, 50, 88, 12], Operations: []
Exploring Operation: 72+50=122, Resulting Numbers: [88, 12, 122]
Generated Node #2: [88, 12, 122] from Operation: 72+50=122
Current State: 22:[88, 12, 122], Operations: ['72+50=122']
Exploring Operation: 88+12=100, Resulting Numbers: [122, 100]
Generated Node #3: [122, 100] from Operation: 88+12=100
Current State: 22:[122, 100], Operations: ['72+50=122', '88+12=100']
Exploring Operation: 122-100=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
18,
2,
61,
43
] | 97 | [
"43-18=25",
"2*61=122",
"122-25=97"
] | Current State: 97:[18, 2, 61, 43], Operations: []
Exploring Operation: 43-18=25, Resulting Numbers: [2, 61, 25]
Generated Node #2: [2, 61, 25] from Operation: 43-18=25
Current State: 97:[2, 61, 25], Operations: ['43-18=25']
Exploring Operation: 2*61=122, Resulting Numbers: [25, 122]
Generated Node #3: [25, 122] from Operation: 2*61=122
Current State: 97:[25, 122], Operations: ['43-18=25', '2*61=122']
Exploring Operation: 122-25=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
66,
42,
1,
8
] | 17 | [
"66-42=24",
"8-1=7",
"24-7=17"
] | Current State: 17:[66, 42, 1, 8], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [1, 8, 24]
Generated Node #2: [1, 8, 24] from Operation: 66-42=24
Current State: 17:[1, 8, 24], Operations: ['66-42=24']
Exploring Operation: 8-1=7, Resulting Numbers: [24, 7]
Generated Node #3: [24, 7] from Operation: 8-1=7
Current State: 17:[24, 7], Operations: ['66-42=24', '8-1=7']
Exploring Operation: 24-7=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
18,
24,
53,
81
] | 34 | [
"24-18=6",
"81-53=28",
"6+28=34"
] | Current State: 34:[18, 24, 53, 81], Operations: []
Exploring Operation: 24-18=6, Resulting Numbers: [53, 81, 6]
Generated Node #2: [53, 81, 6] from Operation: 24-18=6
Current State: 34:[53, 81, 6], Operations: ['24-18=6']
Exploring Operation: 81-53=28, Resulting Numbers: [6, 28]
Generated Node #3: [6, 28] from Operation: 81-53=28
Current State: 34:[6, 28], Operations: ['24-18=6', '81-53=28']
Exploring Operation: 6+28=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
39,
82,
69,
32
] | 96 | [
"39*32=1248",
"82-69=13",
"1248/13=96"
] | Current State: 96:[39, 82, 69, 32], Operations: []
Exploring Operation: 39*32=1248, Resulting Numbers: [82, 69, 1248]
Generated Node #2: [82, 69, 1248] from Operation: 39*32=1248
Current State: 96:[82, 69, 1248], Operations: ['39*32=1248']
Exploring Operation: 82-69=13, Resulting Numbers: [1248, 13]
Generated Node #3: [1248, 13] from Operation: 82-69=13
Current State: 96:[1248, 13], Operations: ['39*32=1248', '82-69=13']
Exploring Operation: 1248/13=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
2,
17,
52,
52
] | 85 | [
"2+17=19",
"52+52=104",
"104-19=85"
] | Current State: 85:[2, 17, 52, 52], Operations: []
Exploring Operation: 2+17=19, Resulting Numbers: [52, 52, 19]
Generated Node #2: [52, 52, 19] from Operation: 2+17=19
Current State: 85:[52, 52, 19], Operations: ['2+17=19']
Exploring Operation: 52+52=104, Resulting Numbers: [19, 104]
Generated Node #3: [19, 104] from Operation: 52+52=104
Current State: 85:[19, 104], Operations: ['2+17=19', '52+52=104']
Exploring Operation: 104-19=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
77,
92,
80,
39
] | 25 | [
"80-77=3",
"39*3=117",
"117-92=25"
] | Current State: 25:[77, 92, 80, 39], Operations: []
Exploring Operation: 80-77=3, Resulting Numbers: [92, 39, 3]
Generated Node #2: [92, 39, 3] from Operation: 80-77=3
Current State: 25:[92, 39, 3], Operations: ['80-77=3']
Exploring Operation: 39*3=117, Resulting Numbers: [92, 117]
Generated Node #3: [92, 117] from Operation: 39*3=117
Current State: 25:[92, 117], Operations: ['80-77=3', '39*3=117']
Exploring Operation: 117-92=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
88,
19,
25,
27
] | 29 | [
"19+25=44",
"88/44=2",
"27+2=29"
] | Current State: 29:[88, 19, 25, 27], Operations: []
Exploring Operation: 19+25=44, Resulting Numbers: [88, 27, 44]
Generated Node #2: [88, 27, 44] from Operation: 19+25=44
Current State: 29:[88, 27, 44], Operations: ['19+25=44']
Exploring Operation: 88/44=2, Resulting Numbers: [27, 2]
Generated Node #3: [27, 2] from Operation: 88/44=2
Current State: 29:[27, 2], Operations: ['19+25=44', '88/44=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
56,
23,
83,
20
] | 96 | [
"56-23=33",
"83-20=63",
"33+63=96"
] | Current State: 96:[56, 23, 83, 20], Operations: []
Exploring Operation: 56-23=33, Resulting Numbers: [83, 20, 33]
Generated Node #2: [83, 20, 33] from Operation: 56-23=33
Current State: 96:[83, 20, 33], Operations: ['56-23=33']
Exploring Operation: 83-20=63, Resulting Numbers: [33, 63]
Generated Node #3: [33, 63] from Operation: 83-20=63
Current State: 96:[33, 63], Operations: ['56-23=33', '83-20=63']
Exploring Operation: 33+63=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
17,
39,
72,
56
] | 73 | [
"17+39=56",
"56/56=1",
"72+1=73"
] | Current State: 73:[17, 39, 72, 56], Operations: []
Exploring Operation: 17+39=56, Resulting Numbers: [72, 56, 56]
Generated Node #2: [72, 56, 56] from Operation: 17+39=56
Current State: 73:[72, 56, 56], Operations: ['17+39=56']
Exploring Operation: 56/56=1, Resulting Numbers: [72, 1]
Generated Node #3: [72, 1] from Operation: 56/56=1
Current State: 73:[72, 1], Operations: ['17+39=56', '56/56=1']
Exploring Operation: 72+1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
3,
27,
52,
63
] | 91 | [
"27-3=24",
"52+63=115",
"115-24=91"
] | Current State: 91:[3, 27, 52, 63], Operations: []
Exploring Operation: 27-3=24, Resulting Numbers: [52, 63, 24]
Generated Node #2: [52, 63, 24] from Operation: 27-3=24
Current State: 91:[52, 63, 24], Operations: ['27-3=24']
Exploring Operation: 52+63=115, Resulting Numbers: [24, 115]
Generated Node #3: [24, 115] from Operation: 52+63=115
Current State: 91:[24, 115], Operations: ['27-3=24', '52+63=115']
Exploring Operation: 115-24=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
69,
45,
99,
54
] | 44 | [
"69-45=24",
"99*24=2376",
"2376/54=44"
] | Current State: 44:[69, 45, 99, 54], Operations: []
Exploring Operation: 69-45=24, Resulting Numbers: [99, 54, 24]
Generated Node #2: [99, 54, 24] from Operation: 69-45=24
Current State: 44:[99, 54, 24], Operations: ['69-45=24']
Exploring Operation: 99*24=2376, Resulting Numbers: [54, 2376]
Generated Node #3: [54, 2376] from Operation: 99*24=2376
Current State: 44:[54, 2376], Operations: ['69-45=24', '99*24=2376']
Exploring Operation: 2376/54=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
32,
77,
96,
5
] | 87 | [
"77-32=45",
"45/5=9",
"96-9=87"
] | Current State: 87:[32, 77, 96, 5], Operations: []
Exploring Operation: 77-32=45, Resulting Numbers: [96, 5, 45]
Generated Node #2: [96, 5, 45] from Operation: 77-32=45
Current State: 87:[96, 5, 45], Operations: ['77-32=45']
Exploring Operation: 45/5=9, Resulting Numbers: [96, 9]
Generated Node #3: [96, 9] from Operation: 45/5=9
Current State: 87:[96, 9], Operations: ['77-32=45', '45/5=9']
Exploring Operation: 96-9=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
94,
18,
17,
63
] | 31 | [
"94-63=31",
"18-17=1",
"31*1=31"
] | Current State: 31:[94, 18, 17, 63], Operations: []
Exploring Operation: 94-63=31, Resulting Numbers: [18, 17, 31]
Generated Node #2: [18, 17, 31] from Operation: 94-63=31
Current State: 31:[18, 17, 31], Operations: ['94-63=31']
Exploring Operation: 18-17=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 18-17=1
Current State: 31:[31, 1], Operations: ['94-63=31', '18-17=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
54,
60,
7,
42
] | 21 | [
"54*7=378",
"60-42=18",
"378/18=21"
] | Current State: 21:[54, 60, 7, 42], Operations: []
Exploring Operation: 54*7=378, Resulting Numbers: [60, 42, 378]
Generated Node #2: [60, 42, 378] from Operation: 54*7=378
Current State: 21:[60, 42, 378], Operations: ['54*7=378']
Exploring Operation: 60-42=18, Resulting Numbers: [378, 18]
Generated Node #3: [378, 18] from Operation: 60-42=18
Current State: 21:[378, 18], Operations: ['54*7=378', '60-42=18']
Exploring Operation: 378/18=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
13,
65,
78
] | 56 | [
"67*65=4355",
"13+4355=4368",
"4368/78=56"
] | Current State: 56:[67, 13, 65, 78], Operations: []
Exploring Operation: 67*65=4355, Resulting Numbers: [13, 78, 4355]
Generated Node #2: [13, 78, 4355] from Operation: 67*65=4355
Current State: 56:[13, 78, 4355], Operations: ['67*65=4355']
Exploring Operation: 13+4355=4368, Resulting Numbers: [78, 4368]
Generated Node #3: [78, 4368] from Operation: 13+4355=4368
Current State: 56:[78, 4368], Operations: ['67*65=4355', '13+4355=4368']
Exploring Operation: 4368/78=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
45,
84,
23,
17
] | 31 | [
"23-17=6",
"84/6=14",
"45-14=31"
] | Current State: 31:[45, 84, 23, 17], Operations: []
Exploring Operation: 23-17=6, Resulting Numbers: [45, 84, 6]
Generated Node #2: [45, 84, 6] from Operation: 23-17=6
Current State: 31:[45, 84, 6], Operations: ['23-17=6']
Exploring Operation: 84/6=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 84/6=14
Current State: 31:[45, 14], Operations: ['23-17=6', '84/6=14']
Exploring Operation: 45-14=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
19,
45,
15,
11
] | 60 | [
"19+45=64",
"15-11=4",
"64-4=60"
] | Current State: 60:[19, 45, 15, 11], Operations: []
Exploring Operation: 19+45=64, Resulting Numbers: [15, 11, 64]
Generated Node #2: [15, 11, 64] from Operation: 19+45=64
Current State: 60:[15, 11, 64], Operations: ['19+45=64']
Exploring Operation: 15-11=4, Resulting Numbers: [64, 4]
Generated Node #3: [64, 4] from Operation: 15-11=4
Current State: 60:[64, 4], Operations: ['19+45=64', '15-11=4']
Exploring Operation: 64-4=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
82,
75,
40,
45
] | 79 | [
"75+45=120",
"120/40=3",
"82-3=79"
] | Current State: 79:[82, 75, 40, 45], Operations: []
Exploring Operation: 75+45=120, Resulting Numbers: [82, 40, 120]
Generated Node #2: [82, 40, 120] from Operation: 75+45=120
Current State: 79:[82, 40, 120], Operations: ['75+45=120']
Exploring Operation: 120/40=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 120/40=3
Current State: 79:[82, 3], Operations: ['75+45=120', '120/40=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
36,
47,
32,
20
] | 44 | [
"32-20=12",
"36/12=3",
"47-3=44"
] | Current State: 44:[36, 47, 32, 20], Operations: []
Exploring Operation: 32-20=12, Resulting Numbers: [36, 47, 12]
Generated Node #2: [36, 47, 12] from Operation: 32-20=12
Current State: 44:[36, 47, 12], Operations: ['32-20=12']
Exploring Operation: 36/12=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 36/12=3
Current State: 44:[47, 3], Operations: ['32-20=12', '36/12=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
64,
12,
56,
81
] | 51 | [
"64+12=76",
"81-56=25",
"76-25=51"
] | Current State: 51:[64, 12, 56, 81], Operations: []
Exploring Operation: 64+12=76, Resulting Numbers: [56, 81, 76]
Generated Node #2: [56, 81, 76] from Operation: 64+12=76
Current State: 51:[56, 81, 76], Operations: ['64+12=76']
Exploring Operation: 81-56=25, Resulting Numbers: [76, 25]
Generated Node #3: [76, 25] from Operation: 81-56=25
Current State: 51:[76, 25], Operations: ['64+12=76', '81-56=25']
Exploring Operation: 76-25=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
10,
30,
97,
53
] | 45 | [
"97+53=150",
"150/10=15",
"30+15=45"
] | Current State: 45:[10, 30, 97, 53], Operations: []
Exploring Operation: 97+53=150, Resulting Numbers: [10, 30, 150]
Generated Node #2: [10, 30, 150] from Operation: 97+53=150
Current State: 45:[10, 30, 150], Operations: ['97+53=150']
Exploring Operation: 150/10=15, Resulting Numbers: [30, 15]
Generated Node #3: [30, 15] from Operation: 150/10=15
Current State: 45:[30, 15], Operations: ['97+53=150', '150/10=15']
Exploring Operation: 30+15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
96,
18,
82
] | 60 | [
"96-82=14",
"3*14=42",
"18+42=60"
] | Current State: 60:[3, 96, 18, 82], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [3, 18, 14]
Generated Node #2: [3, 18, 14] from Operation: 96-82=14
Current State: 60:[3, 18, 14], Operations: ['96-82=14']
Exploring Operation: 3*14=42, Resulting Numbers: [18, 42]
Generated Node #3: [18, 42] from Operation: 3*14=42
Current State: 60:[18, 42], Operations: ['96-82=14', '3*14=42']
Exploring Operation: 18+42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
98,
26,
90,
45
] | 70 | [
"98-26=72",
"90/45=2",
"72-2=70"
] | Current State: 70:[98, 26, 90, 45], Operations: []
Exploring Operation: 98-26=72, Resulting Numbers: [90, 45, 72]
Generated Node #2: [90, 45, 72] from Operation: 98-26=72
Current State: 70:[90, 45, 72], Operations: ['98-26=72']
Exploring Operation: 90/45=2, Resulting Numbers: [72, 2]
Generated Node #3: [72, 2] from Operation: 90/45=2
Current State: 70:[72, 2], Operations: ['98-26=72', '90/45=2']
Exploring Operation: 72-2=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
80,
43,
46,
70
] | 99 | [
"80+43=123",
"70-46=24",
"123-24=99"
] | Current State: 99:[80, 43, 46, 70], Operations: []
Exploring Operation: 80+43=123, Resulting Numbers: [46, 70, 123]
Generated Node #2: [46, 70, 123] from Operation: 80+43=123
Current State: 99:[46, 70, 123], Operations: ['80+43=123']
Exploring Operation: 70-46=24, Resulting Numbers: [123, 24]
Generated Node #3: [123, 24] from Operation: 70-46=24
Current State: 99:[123, 24], Operations: ['80+43=123', '70-46=24']
Exploring Operation: 123-24=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
10,
84,
55,
8
] | 31 | [
"10+84=94",
"55+8=63",
"94-63=31"
] | Current State: 31:[10, 84, 55, 8], Operations: []
Exploring Operation: 10+84=94, Resulting Numbers: [55, 8, 94]
Generated Node #2: [55, 8, 94] from Operation: 10+84=94
Current State: 31:[55, 8, 94], Operations: ['10+84=94']
Exploring Operation: 55+8=63, Resulting Numbers: [94, 63]
Generated Node #3: [94, 63] from Operation: 55+8=63
Current State: 31:[94, 63], Operations: ['10+84=94', '55+8=63']
Exploring Operation: 94-63=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
69,
56,
29,
42
] | 26 | [
"69-56=13",
"42-29=13",
"13+13=26"
] | Current State: 26:[69, 56, 29, 42], Operations: []
Exploring Operation: 69-56=13, Resulting Numbers: [29, 42, 13]
Generated Node #2: [29, 42, 13] from Operation: 69-56=13
Current State: 26:[29, 42, 13], Operations: ['69-56=13']
Exploring Operation: 42-29=13, Resulting Numbers: [13, 13]
Generated Node #3: [13, 13] from Operation: 42-29=13
Current State: 26:[13, 13], Operations: ['69-56=13', '42-29=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
39,
95,
80,
91
] | 76 | [
"95-91=4",
"39*4=156",
"156-80=76"
] | Current State: 76:[39, 95, 80, 91], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [39, 80, 4]
Generated Node #2: [39, 80, 4] from Operation: 95-91=4
Current State: 76:[39, 80, 4], Operations: ['95-91=4']
Exploring Operation: 39*4=156, Resulting Numbers: [80, 156]
Generated Node #3: [80, 156] from Operation: 39*4=156
Current State: 76:[80, 156], Operations: ['95-91=4', '39*4=156']
Exploring Operation: 156-80=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
8,
71,
14,
23
] | 64 | [
"8*14=112",
"71-23=48",
"112-48=64"
] | Current State: 64:[8, 71, 14, 23], Operations: []
Exploring Operation: 8*14=112, Resulting Numbers: [71, 23, 112]
Generated Node #2: [71, 23, 112] from Operation: 8*14=112
Current State: 64:[71, 23, 112], Operations: ['8*14=112']
Exploring Operation: 71-23=48, Resulting Numbers: [112, 48]
Generated Node #3: [112, 48] from Operation: 71-23=48
Current State: 64:[112, 48], Operations: ['8*14=112', '71-23=48']
Exploring Operation: 112-48=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
19,
54,
56,
91
] | 53 | [
"56-54=2",
"19*2=38",
"91-38=53"
] | Current State: 53:[19, 54, 56, 91], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [19, 91, 2]
Generated Node #2: [19, 91, 2] from Operation: 56-54=2
Current State: 53:[19, 91, 2], Operations: ['56-54=2']
Exploring Operation: 19*2=38, Resulting Numbers: [91, 38]
Generated Node #3: [91, 38] from Operation: 19*2=38
Current State: 53:[91, 38], Operations: ['56-54=2', '19*2=38']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
59,
19,
73,
46
] | 13 | [
"59-19=40",
"73-46=27",
"40-27=13"
] | Current State: 13:[59, 19, 73, 46], Operations: []
Exploring Operation: 59-19=40, Resulting Numbers: [73, 46, 40]
Generated Node #2: [73, 46, 40] from Operation: 59-19=40
Current State: 13:[73, 46, 40], Operations: ['59-19=40']
Exploring Operation: 73-46=27, Resulting Numbers: [40, 27]
Generated Node #3: [40, 27] from Operation: 73-46=27
Current State: 13:[40, 27], Operations: ['59-19=40', '73-46=27']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
57,
95,
73,
1
] | 36 | [
"95-57=38",
"73+1=74",
"74-38=36"
] | Current State: 36:[57, 95, 73, 1], Operations: []
Exploring Operation: 95-57=38, Resulting Numbers: [73, 1, 38]
Generated Node #2: [73, 1, 38] from Operation: 95-57=38
Current State: 36:[73, 1, 38], Operations: ['95-57=38']
Exploring Operation: 73+1=74, Resulting Numbers: [38, 74]
Generated Node #3: [38, 74] from Operation: 73+1=74
Current State: 36:[38, 74], Operations: ['95-57=38', '73+1=74']
Exploring Operation: 74-38=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
11,
58,
10
] | 72 | [
"2+11=13",
"10*13=130",
"130-58=72"
] | Current State: 72:[2, 11, 58, 10], Operations: []
Exploring Operation: 2+11=13, Resulting Numbers: [58, 10, 13]
Generated Node #2: [58, 10, 13] from Operation: 2+11=13
Current State: 72:[58, 10, 13], Operations: ['2+11=13']
Exploring Operation: 10*13=130, Resulting Numbers: [58, 130]
Generated Node #3: [58, 130] from Operation: 10*13=130
Current State: 72:[58, 130], Operations: ['2+11=13', '10*13=130']
Exploring Operation: 130-58=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
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