nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
5,
49,
11,
1
] | 66 | [
"5+49=54",
"11+1=12",
"54+12=66"
] | Current State: 66:[5, 49, 11, 1], Operations: []
Exploring Operation: 5+49=54, Resulting Numbers: [11, 1, 54]
Generated Node #2: [11, 1, 54] from Operation: 5+49=54
Current State: 66:[11, 1, 54], Operations: ['5+49=54']
Exploring Operation: 11+1=12, Resulting Numbers: [54, 12]
Generated Node #3: [54, 12] from Operation: 11+1=12
Current State: 66:[54, 12], Operations: ['5+49=54', '11+1=12']
Exploring Operation: 54+12=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
2,
25,
72,
13
] | 74 | [
"72/2=36",
"25+13=38",
"36+38=74"
] | Current State: 74:[2, 25, 72, 13], Operations: []
Exploring Operation: 72/2=36, Resulting Numbers: [25, 13, 36]
Generated Node #2: [25, 13, 36] from Operation: 72/2=36
Current State: 74:[25, 13, 36], Operations: ['72/2=36']
Exploring Operation: 25+13=38, Resulting Numbers: [36, 38]
Generated Node #3: [36, 38] from Operation: 25+13=38
Current State: 74:[36, 38], Operations: ['72/2=36', '25+13=38']
Exploring Operation: 36+38=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
5,
6,
93,
8
] | 84 | [
"6-5=1",
"93-8=85",
"85-1=84"
] | Current State: 84:[5, 6, 93, 8], Operations: []
Exploring Operation: 6-5=1, Resulting Numbers: [93, 8, 1]
Generated Node #2: [93, 8, 1] from Operation: 6-5=1
Current State: 84:[93, 8, 1], Operations: ['6-5=1']
Exploring Operation: 93-8=85, Resulting Numbers: [1, 85]
Generated Node #3: [1, 85] from Operation: 93-8=85
Current State: 84:[1, 85], Operations: ['6-5=1', '93-8=85']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
88,
40,
91,
31
] | 74 | [
"88-40=48",
"91+31=122",
"122-48=74"
] | Current State: 74:[88, 40, 91, 31], Operations: []
Exploring Operation: 88-40=48, Resulting Numbers: [91, 31, 48]
Generated Node #2: [91, 31, 48] from Operation: 88-40=48
Current State: 74:[91, 31, 48], Operations: ['88-40=48']
Exploring Operation: 91+31=122, Resulting Numbers: [48, 122]
Generated Node #3: [48, 122] from Operation: 91+31=122
Current State: 74:[48, 122], Operations: ['88-40=48', '91+31=122']
Exploring Operation: 122-48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
39,
32,
38,
16
] | 15 | [
"39-32=7",
"38-16=22",
"22-7=15"
] | Current State: 15:[39, 32, 38, 16], Operations: []
Exploring Operation: 39-32=7, Resulting Numbers: [38, 16, 7]
Generated Node #2: [38, 16, 7] from Operation: 39-32=7
Current State: 15:[38, 16, 7], Operations: ['39-32=7']
Exploring Operation: 38-16=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 38-16=22
Current State: 15:[7, 22], Operations: ['39-32=7', '38-16=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
82,
10,
59,
3
] | 30 | [
"82+10=92",
"59+3=62",
"92-62=30"
] | Current State: 30:[82, 10, 59, 3], Operations: []
Exploring Operation: 82+10=92, Resulting Numbers: [59, 3, 92]
Generated Node #2: [59, 3, 92] from Operation: 82+10=92
Current State: 30:[59, 3, 92], Operations: ['82+10=92']
Exploring Operation: 59+3=62, Resulting Numbers: [92, 62]
Generated Node #3: [92, 62] from Operation: 59+3=62
Current State: 30:[92, 62], Operations: ['82+10=92', '59+3=62']
Exploring Operation: 92-62=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
47,
33,
20,
52
] | 86 | [
"47-33=14",
"20+52=72",
"14+72=86"
] | Current State: 86:[47, 33, 20, 52], Operations: []
Exploring Operation: 47-33=14, Resulting Numbers: [20, 52, 14]
Generated Node #2: [20, 52, 14] from Operation: 47-33=14
Current State: 86:[20, 52, 14], Operations: ['47-33=14']
Exploring Operation: 20+52=72, Resulting Numbers: [14, 72]
Generated Node #3: [14, 72] from Operation: 20+52=72
Current State: 86:[14, 72], Operations: ['47-33=14', '20+52=72']
Exploring Operation: 14+72=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
67,
5,
28,
57
] | 23 | [
"67-5=62",
"28+57=85",
"85-62=23"
] | Current State: 23:[67, 5, 28, 57], Operations: []
Exploring Operation: 67-5=62, Resulting Numbers: [28, 57, 62]
Generated Node #2: [28, 57, 62] from Operation: 67-5=62
Current State: 23:[28, 57, 62], Operations: ['67-5=62']
Exploring Operation: 28+57=85, Resulting Numbers: [62, 85]
Generated Node #3: [62, 85] from Operation: 28+57=85
Current State: 23:[62, 85], Operations: ['67-5=62', '28+57=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
95,
25,
61,
38
] | 21 | [
"95+25=120",
"61+38=99",
"120-99=21"
] | Current State: 21:[95, 25, 61, 38], Operations: []
Exploring Operation: 95+25=120, Resulting Numbers: [61, 38, 120]
Generated Node #2: [61, 38, 120] from Operation: 95+25=120
Current State: 21:[61, 38, 120], Operations: ['95+25=120']
Exploring Operation: 61+38=99, Resulting Numbers: [120, 99]
Generated Node #3: [120, 99] from Operation: 61+38=99
Current State: 21:[120, 99], Operations: ['95+25=120', '61+38=99']
Exploring Operation: 120-99=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
11,
15,
44,
79
] | 97 | [
"11+15=26",
"44+79=123",
"123-26=97"
] | Current State: 97:[11, 15, 44, 79], Operations: []
Exploring Operation: 11+15=26, Resulting Numbers: [44, 79, 26]
Generated Node #2: [44, 79, 26] from Operation: 11+15=26
Current State: 97:[44, 79, 26], Operations: ['11+15=26']
Exploring Operation: 44+79=123, Resulting Numbers: [26, 123]
Generated Node #3: [26, 123] from Operation: 44+79=123
Current State: 97:[26, 123], Operations: ['11+15=26', '44+79=123']
Exploring Operation: 123-26=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
3,
16,
99,
29
] | 23 | [
"99-3=96",
"96/16=6",
"29-6=23"
] | Current State: 23:[3, 16, 99, 29], Operations: []
Exploring Operation: 99-3=96, Resulting Numbers: [16, 29, 96]
Generated Node #2: [16, 29, 96] from Operation: 99-3=96
Current State: 23:[16, 29, 96], Operations: ['99-3=96']
Exploring Operation: 96/16=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 96/16=6
Current State: 23:[29, 6], Operations: ['99-3=96', '96/16=6']
Exploring Operation: 29-6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
67,
58,
48,
69
] | 82 | [
"69-67=2",
"48/2=24",
"58+24=82"
] | Current State: 82:[67, 58, 48, 69], Operations: []
Exploring Operation: 69-67=2, Resulting Numbers: [58, 48, 2]
Generated Node #2: [58, 48, 2] from Operation: 69-67=2
Current State: 82:[58, 48, 2], Operations: ['69-67=2']
Exploring Operation: 48/2=24, Resulting Numbers: [58, 24]
Generated Node #3: [58, 24] from Operation: 48/2=24
Current State: 82:[58, 24], Operations: ['69-67=2', '48/2=24']
Exploring Operation: 58+24=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
6,
77,
17,
76
] | 54 | [
"77+76=153",
"6*153=918",
"918/17=54"
] | Current State: 54:[6, 77, 17, 76], Operations: []
Exploring Operation: 77+76=153, Resulting Numbers: [6, 17, 153]
Generated Node #2: [6, 17, 153] from Operation: 77+76=153
Current State: 54:[6, 17, 153], Operations: ['77+76=153']
Exploring Operation: 6*153=918, Resulting Numbers: [17, 918]
Generated Node #3: [17, 918] from Operation: 6*153=918
Current State: 54:[17, 918], Operations: ['77+76=153', '6*153=918']
Exploring Operation: 918/17=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
3,
29,
86,
81
] | 27 | [
"3+29=32",
"86-81=5",
"32-5=27"
] | Current State: 27:[3, 29, 86, 81], Operations: []
Exploring Operation: 3+29=32, Resulting Numbers: [86, 81, 32]
Generated Node #2: [86, 81, 32] from Operation: 3+29=32
Current State: 27:[86, 81, 32], Operations: ['3+29=32']
Exploring Operation: 86-81=5, Resulting Numbers: [32, 5]
Generated Node #3: [32, 5] from Operation: 86-81=5
Current State: 27:[32, 5], Operations: ['3+29=32', '86-81=5']
Exploring Operation: 32-5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
30,
10,
65,
45
] | 23 | [
"30/10=3",
"65-45=20",
"3+20=23"
] | Current State: 23:[30, 10, 65, 45], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [65, 45, 3]
Generated Node #2: [65, 45, 3] from Operation: 30/10=3
Current State: 23:[65, 45, 3], Operations: ['30/10=3']
Exploring Operation: 65-45=20, Resulting Numbers: [3, 20]
Generated Node #3: [3, 20] from Operation: 65-45=20
Current State: 23:[3, 20], Operations: ['30/10=3', '65-45=20']
Exploring Operation: 3+20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
49,
46,
31,
51
] | 61 | [
"51-49=2",
"46*2=92",
"92-31=61"
] | Current State: 61:[49, 46, 31, 51], Operations: []
Exploring Operation: 51-49=2, Resulting Numbers: [46, 31, 2]
Generated Node #2: [46, 31, 2] from Operation: 51-49=2
Current State: 61:[46, 31, 2], Operations: ['51-49=2']
Exploring Operation: 46*2=92, Resulting Numbers: [31, 92]
Generated Node #3: [31, 92] from Operation: 46*2=92
Current State: 61:[31, 92], Operations: ['51-49=2', '46*2=92']
Exploring Operation: 92-31=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
36,
38,
34,
64
] | 15 | [
"38-36=2",
"64-34=30",
"30/2=15"
] | Current State: 15:[36, 38, 34, 64], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [34, 64, 2]
Generated Node #2: [34, 64, 2] from Operation: 38-36=2
Current State: 15:[34, 64, 2], Operations: ['38-36=2']
Exploring Operation: 64-34=30, Resulting Numbers: [2, 30]
Generated Node #3: [2, 30] from Operation: 64-34=30
Current State: 15:[2, 30], Operations: ['38-36=2', '64-34=30']
Exploring Operation: 30/2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
18,
97,
76,
9
] | 11 | [
"18*9=162",
"97+76=173",
"173-162=11"
] | Current State: 11:[18, 97, 76, 9], Operations: []
Exploring Operation: 18*9=162, Resulting Numbers: [97, 76, 162]
Generated Node #2: [97, 76, 162] from Operation: 18*9=162
Current State: 11:[97, 76, 162], Operations: ['18*9=162']
Exploring Operation: 97+76=173, Resulting Numbers: [162, 173]
Generated Node #3: [162, 173] from Operation: 97+76=173
Current State: 11:[162, 173], Operations: ['18*9=162', '97+76=173']
Exploring Operation: 173-162=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
70,
30,
49,
51
] | 72 | [
"30*49=1470",
"1470/70=21",
"51+21=72"
] | Current State: 72:[70, 30, 49, 51], Operations: []
Exploring Operation: 30*49=1470, Resulting Numbers: [70, 51, 1470]
Generated Node #2: [70, 51, 1470] from Operation: 30*49=1470
Current State: 72:[70, 51, 1470], Operations: ['30*49=1470']
Exploring Operation: 1470/70=21, Resulting Numbers: [51, 21]
Generated Node #3: [51, 21] from Operation: 1470/70=21
Current State: 72:[51, 21], Operations: ['30*49=1470', '1470/70=21']
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
32,
14,
41,
57
] | 28 | [
"32*14=448",
"57-41=16",
"448/16=28"
] | Current State: 28:[32, 14, 41, 57], Operations: []
Exploring Operation: 32*14=448, Resulting Numbers: [41, 57, 448]
Generated Node #2: [41, 57, 448] from Operation: 32*14=448
Current State: 28:[41, 57, 448], Operations: ['32*14=448']
Exploring Operation: 57-41=16, Resulting Numbers: [448, 16]
Generated Node #3: [448, 16] from Operation: 57-41=16
Current State: 28:[448, 16], Operations: ['32*14=448', '57-41=16']
Exploring Operation: 448/16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
74,
37,
81,
98
] | 34 | [
"74/37=2",
"98-81=17",
"2*17=34"
] | Current State: 34:[74, 37, 81, 98], Operations: []
Exploring Operation: 74/37=2, Resulting Numbers: [81, 98, 2]
Generated Node #2: [81, 98, 2] from Operation: 74/37=2
Current State: 34:[81, 98, 2], Operations: ['74/37=2']
Exploring Operation: 98-81=17, Resulting Numbers: [2, 17]
Generated Node #3: [2, 17] from Operation: 98-81=17
Current State: 34:[2, 17], Operations: ['74/37=2', '98-81=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
61,
92,
1,
2
] | 28 | [
"92-61=31",
"1+2=3",
"31-3=28"
] | Current State: 28:[61, 92, 1, 2], Operations: []
Exploring Operation: 92-61=31, Resulting Numbers: [1, 2, 31]
Generated Node #2: [1, 2, 31] from Operation: 92-61=31
Current State: 28:[1, 2, 31], Operations: ['92-61=31']
Exploring Operation: 1+2=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 1+2=3
Current State: 28:[31, 3], Operations: ['92-61=31', '1+2=3']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
92,
52,
3,
36
] | 60 | [
"92+52=144",
"36+144=180",
"180/3=60"
] | Current State: 60:[92, 52, 3, 36], Operations: []
Exploring Operation: 92+52=144, Resulting Numbers: [3, 36, 144]
Generated Node #2: [3, 36, 144] from Operation: 92+52=144
Current State: 60:[3, 36, 144], Operations: ['92+52=144']
Exploring Operation: 36+144=180, Resulting Numbers: [3, 180]
Generated Node #3: [3, 180] from Operation: 36+144=180
Current State: 60:[3, 180], Operations: ['92+52=144', '36+144=180']
Exploring Operation: 180/3=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
40,
21,
53,
10
] | 82 | [
"40-21=19",
"53+10=63",
"19+63=82"
] | Current State: 82:[40, 21, 53, 10], Operations: []
Exploring Operation: 40-21=19, Resulting Numbers: [53, 10, 19]
Generated Node #2: [53, 10, 19] from Operation: 40-21=19
Current State: 82:[53, 10, 19], Operations: ['40-21=19']
Exploring Operation: 53+10=63, Resulting Numbers: [19, 63]
Generated Node #3: [19, 63] from Operation: 53+10=63
Current State: 82:[19, 63], Operations: ['40-21=19', '53+10=63']
Exploring Operation: 19+63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
46,
98,
73,
86
] | 39 | [
"98-46=52",
"86-73=13",
"52-13=39"
] | Current State: 39:[46, 98, 73, 86], Operations: []
Exploring Operation: 98-46=52, Resulting Numbers: [73, 86, 52]
Generated Node #2: [73, 86, 52] from Operation: 98-46=52
Current State: 39:[73, 86, 52], Operations: ['98-46=52']
Exploring Operation: 86-73=13, Resulting Numbers: [52, 13]
Generated Node #3: [52, 13] from Operation: 86-73=13
Current State: 39:[52, 13], Operations: ['98-46=52', '86-73=13']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
72,
87,
24,
89
] | 84 | [
"89-87=2",
"24/2=12",
"72+12=84"
] | Current State: 84:[72, 87, 24, 89], Operations: []
Exploring Operation: 89-87=2, Resulting Numbers: [72, 24, 2]
Generated Node #2: [72, 24, 2] from Operation: 89-87=2
Current State: 84:[72, 24, 2], Operations: ['89-87=2']
Exploring Operation: 24/2=12, Resulting Numbers: [72, 12]
Generated Node #3: [72, 12] from Operation: 24/2=12
Current State: 84:[72, 12], Operations: ['89-87=2', '24/2=12']
Exploring Operation: 72+12=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
30,
88,
15,
9
] | 10 | [
"30/15=2",
"88+2=90",
"90/9=10"
] | Current State: 10:[30, 88, 15, 9], Operations: []
Exploring Operation: 30/15=2, Resulting Numbers: [88, 9, 2]
Generated Node #2: [88, 9, 2] from Operation: 30/15=2
Current State: 10:[88, 9, 2], Operations: ['30/15=2']
Exploring Operation: 88+2=90, Resulting Numbers: [9, 90]
Generated Node #3: [9, 90] from Operation: 88+2=90
Current State: 10:[9, 90], Operations: ['30/15=2', '88+2=90']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
5,
43,
57,
40
] | 92 | [
"40/5=8",
"43+57=100",
"100-8=92"
] | Current State: 92:[5, 43, 57, 40], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [43, 57, 8]
Generated Node #2: [43, 57, 8] from Operation: 40/5=8
Current State: 92:[43, 57, 8], Operations: ['40/5=8']
Exploring Operation: 43+57=100, Resulting Numbers: [8, 100]
Generated Node #3: [8, 100] from Operation: 43+57=100
Current State: 92:[8, 100], Operations: ['40/5=8', '43+57=100']
Exploring Operation: 100-8=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
23,
11,
65,
69
] | 61 | [
"23+65=88",
"88/11=8",
"69-8=61"
] | Current State: 61:[23, 11, 65, 69], Operations: []
Exploring Operation: 23+65=88, Resulting Numbers: [11, 69, 88]
Generated Node #2: [11, 69, 88] from Operation: 23+65=88
Current State: 61:[11, 69, 88], Operations: ['23+65=88']
Exploring Operation: 88/11=8, Resulting Numbers: [69, 8]
Generated Node #3: [69, 8] from Operation: 88/11=8
Current State: 61:[69, 8], Operations: ['23+65=88', '88/11=8']
Exploring Operation: 69-8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
21,
7,
81,
21
] | 20 | [
"21/7=3",
"81-21=60",
"60/3=20"
] | Current State: 20:[21, 7, 81, 21], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [81, 3]
Generated Node #2: [81, 3] from Operation: 21/7=3
Current State: 20:[81, 3], Operations: ['21/7=3']
Exploring Operation: 81-21=60, Resulting Numbers: [3, 60]
Generated Node #3: [3, 60] from Operation: 81-21=60
Current State: 20:[3, 60], Operations: ['21/7=3', '81-21=60']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
74,
29,
34,
28
] | 51 | [
"74-29=45",
"34-28=6",
"45+6=51"
] | Current State: 51:[74, 29, 34, 28], Operations: []
Exploring Operation: 74-29=45, Resulting Numbers: [34, 28, 45]
Generated Node #2: [34, 28, 45] from Operation: 74-29=45
Current State: 51:[34, 28, 45], Operations: ['74-29=45']
Exploring Operation: 34-28=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 34-28=6
Current State: 51:[45, 6], Operations: ['74-29=45', '34-28=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
43,
66,
40,
78
] | 95 | [
"66-43=23",
"40+78=118",
"118-23=95"
] | Current State: 95:[43, 66, 40, 78], Operations: []
Exploring Operation: 66-43=23, Resulting Numbers: [40, 78, 23]
Generated Node #2: [40, 78, 23] from Operation: 66-43=23
Current State: 95:[40, 78, 23], Operations: ['66-43=23']
Exploring Operation: 40+78=118, Resulting Numbers: [23, 118]
Generated Node #3: [23, 118] from Operation: 40+78=118
Current State: 95:[23, 118], Operations: ['66-43=23', '40+78=118']
Exploring Operation: 118-23=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
12,
15,
40,
36
] | 52 | [
"15-12=3",
"36/3=12",
"40+12=52"
] | Current State: 52:[12, 15, 40, 36], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [40, 36, 3]
Generated Node #2: [40, 36, 3] from Operation: 15-12=3
Current State: 52:[40, 36, 3], Operations: ['15-12=3']
Exploring Operation: 36/3=12, Resulting Numbers: [40, 12]
Generated Node #3: [40, 12] from Operation: 36/3=12
Current State: 52:[40, 12], Operations: ['15-12=3', '36/3=12']
Exploring Operation: 40+12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
78,
5,
46,
75
] | 54 | [
"78+5=83",
"75-46=29",
"83-29=54"
] | Current State: 54:[78, 5, 46, 75], Operations: []
Exploring Operation: 78+5=83, Resulting Numbers: [46, 75, 83]
Generated Node #2: [46, 75, 83] from Operation: 78+5=83
Current State: 54:[46, 75, 83], Operations: ['78+5=83']
Exploring Operation: 75-46=29, Resulting Numbers: [83, 29]
Generated Node #3: [83, 29] from Operation: 75-46=29
Current State: 54:[83, 29], Operations: ['78+5=83', '75-46=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
68,
99,
52,
57
] | 65 | [
"99+57=156",
"156/52=3",
"68-3=65"
] | Current State: 65:[68, 99, 52, 57], Operations: []
Exploring Operation: 99+57=156, Resulting Numbers: [68, 52, 156]
Generated Node #2: [68, 52, 156] from Operation: 99+57=156
Current State: 65:[68, 52, 156], Operations: ['99+57=156']
Exploring Operation: 156/52=3, Resulting Numbers: [68, 3]
Generated Node #3: [68, 3] from Operation: 156/52=3
Current State: 65:[68, 3], Operations: ['99+57=156', '156/52=3']
Exploring Operation: 68-3=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
60,
36,
65,
56
] | 69 | [
"60*65=3900",
"3900-36=3864",
"3864/56=69"
] | Current State: 69:[60, 36, 65, 56], Operations: []
Exploring Operation: 60*65=3900, Resulting Numbers: [36, 56, 3900]
Generated Node #2: [36, 56, 3900] from Operation: 60*65=3900
Current State: 69:[36, 56, 3900], Operations: ['60*65=3900']
Exploring Operation: 3900-36=3864, Resulting Numbers: [56, 3864]
Generated Node #3: [56, 3864] from Operation: 3900-36=3864
Current State: 69:[56, 3864], Operations: ['60*65=3900', '3900-36=3864']
Exploring Operation: 3864/56=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
31,
7,
13,
32
] | 55 | [
"13*32=416",
"416-31=385",
"385/7=55"
] | Current State: 55:[31, 7, 13, 32], Operations: []
Exploring Operation: 13*32=416, Resulting Numbers: [31, 7, 416]
Generated Node #2: [31, 7, 416] from Operation: 13*32=416
Current State: 55:[31, 7, 416], Operations: ['13*32=416']
Exploring Operation: 416-31=385, Resulting Numbers: [7, 385]
Generated Node #3: [7, 385] from Operation: 416-31=385
Current State: 55:[7, 385], Operations: ['13*32=416', '416-31=385']
Exploring Operation: 385/7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
25,
27,
36,
12
] | 26 | [
"27-25=2",
"36-12=24",
"2+24=26"
] | Current State: 26:[25, 27, 36, 12], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [36, 12, 2]
Generated Node #2: [36, 12, 2] from Operation: 27-25=2
Current State: 26:[36, 12, 2], Operations: ['27-25=2']
Exploring Operation: 36-12=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 36-12=24
Current State: 26:[2, 24], Operations: ['27-25=2', '36-12=24']
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
3,
36,
19
] | 46 | [
"15+19=34",
"36/3=12",
"34+12=46"
] | Current State: 46:[15, 3, 36, 19], Operations: []
Exploring Operation: 15+19=34, Resulting Numbers: [3, 36, 34]
Generated Node #2: [3, 36, 34] from Operation: 15+19=34
Current State: 46:[3, 36, 34], Operations: ['15+19=34']
Exploring Operation: 36/3=12, Resulting Numbers: [34, 12]
Generated Node #3: [34, 12] from Operation: 36/3=12
Current State: 46:[34, 12], Operations: ['15+19=34', '36/3=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
2,
85,
70,
38
] | 93 | [
"2*70=140",
"85-38=47",
"140-47=93"
] | Current State: 93:[2, 85, 70, 38], Operations: []
Exploring Operation: 2*70=140, Resulting Numbers: [85, 38, 140]
Generated Node #2: [85, 38, 140] from Operation: 2*70=140
Current State: 93:[85, 38, 140], Operations: ['2*70=140']
Exploring Operation: 85-38=47, Resulting Numbers: [140, 47]
Generated Node #3: [140, 47] from Operation: 85-38=47
Current State: 93:[140, 47], Operations: ['2*70=140', '85-38=47']
Exploring Operation: 140-47=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
67,
20,
3
] | 61 | [
"20-2=18",
"18/3=6",
"67-6=61"
] | Current State: 61:[2, 67, 20, 3], Operations: []
Exploring Operation: 20-2=18, Resulting Numbers: [67, 3, 18]
Generated Node #2: [67, 3, 18] from Operation: 20-2=18
Current State: 61:[67, 3, 18], Operations: ['20-2=18']
Exploring Operation: 18/3=6, Resulting Numbers: [67, 6]
Generated Node #3: [67, 6] from Operation: 18/3=6
Current State: 61:[67, 6], Operations: ['20-2=18', '18/3=6']
Exploring Operation: 67-6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
43,
11,
99,
93
] | 48 | [
"43+11=54",
"99-93=6",
"54-6=48"
] | Current State: 48:[43, 11, 99, 93], Operations: []
Exploring Operation: 43+11=54, Resulting Numbers: [99, 93, 54]
Generated Node #2: [99, 93, 54] from Operation: 43+11=54
Current State: 48:[99, 93, 54], Operations: ['43+11=54']
Exploring Operation: 99-93=6, Resulting Numbers: [54, 6]
Generated Node #3: [54, 6] from Operation: 99-93=6
Current State: 48:[54, 6], Operations: ['43+11=54', '99-93=6']
Exploring Operation: 54-6=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
50,
46,
4,
50
] | 26 | [
"50+46=96",
"96/4=24",
"50-24=26"
] | Current State: 26:[50, 46, 4, 50], Operations: []
Exploring Operation: 50+46=96, Resulting Numbers: [4, 96]
Generated Node #2: [4, 96] from Operation: 50+46=96
Current State: 26:[4, 96], Operations: ['50+46=96']
Exploring Operation: 96/4=24, Resulting Numbers: [24]
24,26 equal: Goal Reached
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
71,
35,
2,
99
] | 92 | [
"71+35=106",
"2*99=198",
"198-106=92"
] | Current State: 92:[71, 35, 2, 99], Operations: []
Exploring Operation: 71+35=106, Resulting Numbers: [2, 99, 106]
Generated Node #2: [2, 99, 106] from Operation: 71+35=106
Current State: 92:[2, 99, 106], Operations: ['71+35=106']
Exploring Operation: 2*99=198, Resulting Numbers: [106, 198]
Generated Node #3: [106, 198] from Operation: 2*99=198
Current State: 92:[106, 198], Operations: ['71+35=106', '2*99=198']
Exploring Operation: 198-106=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
9,
66,
45,
99
] | 68 | [
"99-9=90",
"90/45=2",
"66+2=68"
] | Current State: 68:[9, 66, 45, 99], Operations: []
Exploring Operation: 99-9=90, Resulting Numbers: [66, 45, 90]
Generated Node #2: [66, 45, 90] from Operation: 99-9=90
Current State: 68:[66, 45, 90], Operations: ['99-9=90']
Exploring Operation: 90/45=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 90/45=2
Current State: 68:[66, 2], Operations: ['99-9=90', '90/45=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
30,
2,
7,
21
] | 87 | [
"30*2=60",
"7*21=147",
"147-60=87"
] | Current State: 87:[30, 2, 7, 21], Operations: []
Exploring Operation: 30*2=60, Resulting Numbers: [7, 21, 60]
Generated Node #2: [7, 21, 60] from Operation: 30*2=60
Current State: 87:[7, 21, 60], Operations: ['30*2=60']
Exploring Operation: 7*21=147, Resulting Numbers: [60, 147]
Generated Node #3: [60, 147] from Operation: 7*21=147
Current State: 87:[60, 147], Operations: ['30*2=60', '7*21=147']
Exploring Operation: 147-60=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
77,
8,
2,
81
] | 87 | [
"77+81=158",
"158/2=79",
"8+79=87"
] | Current State: 87:[77, 8, 2, 81], Operations: []
Exploring Operation: 77+81=158, Resulting Numbers: [8, 2, 158]
Generated Node #2: [8, 2, 158] from Operation: 77+81=158
Current State: 87:[8, 2, 158], Operations: ['77+81=158']
Exploring Operation: 158/2=79, Resulting Numbers: [8, 79]
Generated Node #3: [8, 79] from Operation: 158/2=79
Current State: 87:[8, 79], Operations: ['77+81=158', '158/2=79']
Exploring Operation: 8+79=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
74,
59,
10,
23
] | 97 | [
"74+59=133",
"10*23=230",
"230-133=97"
] | Current State: 97:[74, 59, 10, 23], Operations: []
Exploring Operation: 74+59=133, Resulting Numbers: [10, 23, 133]
Generated Node #2: [10, 23, 133] from Operation: 74+59=133
Current State: 97:[10, 23, 133], Operations: ['74+59=133']
Exploring Operation: 10*23=230, Resulting Numbers: [133, 230]
Generated Node #3: [133, 230] from Operation: 10*23=230
Current State: 97:[133, 230], Operations: ['74+59=133', '10*23=230']
Exploring Operation: 230-133=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
78,
45,
49,
72
] | 100 | [
"78+45=123",
"72-49=23",
"123-23=100"
] | Current State: 100:[78, 45, 49, 72], Operations: []
Exploring Operation: 78+45=123, Resulting Numbers: [49, 72, 123]
Generated Node #2: [49, 72, 123] from Operation: 78+45=123
Current State: 100:[49, 72, 123], Operations: ['78+45=123']
Exploring Operation: 72-49=23, Resulting Numbers: [123, 23]
Generated Node #3: [123, 23] from Operation: 72-49=23
Current State: 100:[123, 23], Operations: ['78+45=123', '72-49=23']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
38,
21,
3,
63
] | 37 | [
"21*3=63",
"63/63=1",
"38-1=37"
] | Current State: 37:[38, 21, 3, 63], Operations: []
Exploring Operation: 21*3=63, Resulting Numbers: [38, 63, 63]
Generated Node #2: [38, 63, 63] from Operation: 21*3=63
Current State: 37:[38, 63, 63], Operations: ['21*3=63']
Exploring Operation: 63/63=1, Resulting Numbers: [38, 1]
Generated Node #3: [38, 1] from Operation: 63/63=1
Current State: 37:[38, 1], Operations: ['21*3=63', '63/63=1']
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
86,
73,
31,
23
] | 41 | [
"86-73=13",
"31+23=54",
"54-13=41"
] | Current State: 41:[86, 73, 31, 23], Operations: []
Exploring Operation: 86-73=13, Resulting Numbers: [31, 23, 13]
Generated Node #2: [31, 23, 13] from Operation: 86-73=13
Current State: 41:[31, 23, 13], Operations: ['86-73=13']
Exploring Operation: 31+23=54, Resulting Numbers: [13, 54]
Generated Node #3: [13, 54] from Operation: 31+23=54
Current State: 41:[13, 54], Operations: ['86-73=13', '31+23=54']
Exploring Operation: 54-13=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
45,
2,
7,
81
] | 65 | [
"81-45=36",
"2*36=72",
"72-7=65"
] | Current State: 65:[45, 2, 7, 81], Operations: []
Exploring Operation: 81-45=36, Resulting Numbers: [2, 7, 36]
Generated Node #2: [2, 7, 36] from Operation: 81-45=36
Current State: 65:[2, 7, 36], Operations: ['81-45=36']
Exploring Operation: 2*36=72, Resulting Numbers: [7, 72]
Generated Node #3: [7, 72] from Operation: 2*36=72
Current State: 65:[7, 72], Operations: ['81-45=36', '2*36=72']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
66,
10,
54,
30
] | 80 | [
"66-10=56",
"54-30=24",
"56+24=80"
] | Current State: 80:[66, 10, 54, 30], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [54, 30, 56]
Generated Node #2: [54, 30, 56] from Operation: 66-10=56
Current State: 80:[54, 30, 56], Operations: ['66-10=56']
Exploring Operation: 54-30=24, Resulting Numbers: [56, 24]
Generated Node #3: [56, 24] from Operation: 54-30=24
Current State: 80:[56, 24], Operations: ['66-10=56', '54-30=24']
Exploring Operation: 56+24=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
68,
42,
18,
70
] | 62 | [
"68-42=26",
"18+70=88",
"88-26=62"
] | Current State: 62:[68, 42, 18, 70], Operations: []
Exploring Operation: 68-42=26, Resulting Numbers: [18, 70, 26]
Generated Node #2: [18, 70, 26] from Operation: 68-42=26
Current State: 62:[18, 70, 26], Operations: ['68-42=26']
Exploring Operation: 18+70=88, Resulting Numbers: [26, 88]
Generated Node #3: [26, 88] from Operation: 18+70=88
Current State: 62:[26, 88], Operations: ['68-42=26', '18+70=88']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
7,
83,
56,
34
] | 41 | [
"56/7=8",
"83-34=49",
"49-8=41"
] | Current State: 41:[7, 83, 56, 34], Operations: []
Exploring Operation: 56/7=8, Resulting Numbers: [83, 34, 8]
Generated Node #2: [83, 34, 8] from Operation: 56/7=8
Current State: 41:[83, 34, 8], Operations: ['56/7=8']
Exploring Operation: 83-34=49, Resulting Numbers: [8, 49]
Generated Node #3: [8, 49] from Operation: 83-34=49
Current State: 41:[8, 49], Operations: ['56/7=8', '83-34=49']
Exploring Operation: 49-8=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
14,
47,
49,
51
] | 63 | [
"14+47=61",
"51-49=2",
"61+2=63"
] | Current State: 63:[14, 47, 49, 51], Operations: []
Exploring Operation: 14+47=61, Resulting Numbers: [49, 51, 61]
Generated Node #2: [49, 51, 61] from Operation: 14+47=61
Current State: 63:[49, 51, 61], Operations: ['14+47=61']
Exploring Operation: 51-49=2, Resulting Numbers: [61, 2]
Generated Node #3: [61, 2] from Operation: 51-49=2
Current State: 63:[61, 2], Operations: ['14+47=61', '51-49=2']
Exploring Operation: 61+2=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
84,
28,
17,
64
] | 27 | [
"84/28=3",
"17+64=81",
"81/3=27"
] | Current State: 27:[84, 28, 17, 64], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [17, 64, 3]
Generated Node #2: [17, 64, 3] from Operation: 84/28=3
Current State: 27:[17, 64, 3], Operations: ['84/28=3']
Exploring Operation: 17+64=81, Resulting Numbers: [3, 81]
Generated Node #3: [3, 81] from Operation: 17+64=81
Current State: 27:[3, 81], Operations: ['84/28=3', '17+64=81']
Exploring Operation: 81/3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
15,
97,
58,
23
] | 50 | [
"97+23=120",
"120/15=8",
"58-8=50"
] | Current State: 50:[15, 97, 58, 23], Operations: []
Exploring Operation: 97+23=120, Resulting Numbers: [15, 58, 120]
Generated Node #2: [15, 58, 120] from Operation: 97+23=120
Current State: 50:[15, 58, 120], Operations: ['97+23=120']
Exploring Operation: 120/15=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 120/15=8
Current State: 50:[58, 8], Operations: ['97+23=120', '120/15=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
56,
12,
52
] | 72 | [
"80+56=136",
"12+52=64",
"136-64=72"
] | Current State: 72:[80, 56, 12, 52], Operations: []
Exploring Operation: 80+56=136, Resulting Numbers: [12, 52, 136]
Generated Node #2: [12, 52, 136] from Operation: 80+56=136
Current State: 72:[12, 52, 136], Operations: ['80+56=136']
Exploring Operation: 12+52=64, Resulting Numbers: [136, 64]
Generated Node #3: [136, 64] from Operation: 12+52=64
Current State: 72:[136, 64], Operations: ['80+56=136', '12+52=64']
Exploring Operation: 136-64=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
74,
19,
64,
51
] | 42 | [
"74-19=55",
"64-51=13",
"55-13=42"
] | Current State: 42:[74, 19, 64, 51], Operations: []
Exploring Operation: 74-19=55, Resulting Numbers: [64, 51, 55]
Generated Node #2: [64, 51, 55] from Operation: 74-19=55
Current State: 42:[64, 51, 55], Operations: ['74-19=55']
Exploring Operation: 64-51=13, Resulting Numbers: [55, 13]
Generated Node #3: [55, 13] from Operation: 64-51=13
Current State: 42:[55, 13], Operations: ['74-19=55', '64-51=13']
Exploring Operation: 55-13=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
56,
60,
14,
2
] | 68 | [
"56/14=4",
"2*4=8",
"60+8=68"
] | Current State: 68:[56, 60, 14, 2], Operations: []
Exploring Operation: 56/14=4, Resulting Numbers: [60, 2, 4]
Generated Node #2: [60, 2, 4] from Operation: 56/14=4
Current State: 68:[60, 2, 4], Operations: ['56/14=4']
Exploring Operation: 2*4=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 2*4=8
Current State: 68:[60, 8], Operations: ['56/14=4', '2*4=8']
Exploring Operation: 60+8=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
39,
14,
3,
58
] | 71 | [
"58-39=19",
"3*19=57",
"14+57=71"
] | Current State: 71:[39, 14, 3, 58], Operations: []
Exploring Operation: 58-39=19, Resulting Numbers: [14, 3, 19]
Generated Node #2: [14, 3, 19] from Operation: 58-39=19
Current State: 71:[14, 3, 19], Operations: ['58-39=19']
Exploring Operation: 3*19=57, Resulting Numbers: [14, 57]
Generated Node #3: [14, 57] from Operation: 3*19=57
Current State: 71:[14, 57], Operations: ['58-39=19', '3*19=57']
Exploring Operation: 14+57=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
99,
92,
19,
92
] | 80 | [
"99+92=191",
"19+92=111",
"191-111=80"
] | Current State: 80:[99, 92, 19, 92], Operations: []
Exploring Operation: 99+92=191, Resulting Numbers: [19, 191]
Generated Node #2: [19, 191] from Operation: 99+92=191
Current State: 80:[19, 191], Operations: ['99+92=191']
Exploring Operation: 19+92=111, Resulting Numbers: [191, 111]
Generated Node #3: [191, 111] from Operation: 19+92=111
Current State: 80:[191, 111], Operations: ['99+92=191', '19+92=111']
Exploring Operation: 191-111=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
61,
51,
3,
26
] | 34 | [
"61+51=112",
"3*26=78",
"112-78=34"
] | Current State: 34:[61, 51, 3, 26], Operations: []
Exploring Operation: 61+51=112, Resulting Numbers: [3, 26, 112]
Generated Node #2: [3, 26, 112] from Operation: 61+51=112
Current State: 34:[3, 26, 112], Operations: ['61+51=112']
Exploring Operation: 3*26=78, Resulting Numbers: [112, 78]
Generated Node #3: [112, 78] from Operation: 3*26=78
Current State: 34:[112, 78], Operations: ['61+51=112', '3*26=78']
Exploring Operation: 112-78=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
97,
26,
93,
33
] | 63 | [
"97+26=123",
"93-33=60",
"123-60=63"
] | Current State: 63:[97, 26, 93, 33], Operations: []
Exploring Operation: 97+26=123, Resulting Numbers: [93, 33, 123]
Generated Node #2: [93, 33, 123] from Operation: 97+26=123
Current State: 63:[93, 33, 123], Operations: ['97+26=123']
Exploring Operation: 93-33=60, Resulting Numbers: [123, 60]
Generated Node #3: [123, 60] from Operation: 93-33=60
Current State: 63:[123, 60], Operations: ['97+26=123', '93-33=60']
Exploring Operation: 123-60=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
4,
69,
22,
27
] | 19 | [
"27-4=23",
"69/23=3",
"22-3=19"
] | Current State: 19:[4, 69, 22, 27], Operations: []
Exploring Operation: 27-4=23, Resulting Numbers: [69, 22, 23]
Generated Node #2: [69, 22, 23] from Operation: 27-4=23
Current State: 19:[69, 22, 23], Operations: ['27-4=23']
Exploring Operation: 69/23=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 69/23=3
Current State: 19:[22, 3], Operations: ['27-4=23', '69/23=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
64,
9,
33,
54
] | 57 | [
"64-54=10",
"9*10=90",
"90-33=57"
] | Current State: 57:[64, 9, 33, 54], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [9, 33, 10]
Generated Node #2: [9, 33, 10] from Operation: 64-54=10
Current State: 57:[9, 33, 10], Operations: ['64-54=10']
Exploring Operation: 9*10=90, Resulting Numbers: [33, 90]
Generated Node #3: [33, 90] from Operation: 9*10=90
Current State: 57:[33, 90], Operations: ['64-54=10', '9*10=90']
Exploring Operation: 90-33=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
14,
74,
73,
70
] | 91 | [
"14+74=88",
"73-70=3",
"88+3=91"
] | Current State: 91:[14, 74, 73, 70], Operations: []
Exploring Operation: 14+74=88, Resulting Numbers: [73, 70, 88]
Generated Node #2: [73, 70, 88] from Operation: 14+74=88
Current State: 91:[73, 70, 88], Operations: ['14+74=88']
Exploring Operation: 73-70=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 73-70=3
Current State: 91:[88, 3], Operations: ['14+74=88', '73-70=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
70,
52,
46,
80
] | 16 | [
"70-52=18",
"80-46=34",
"34-18=16"
] | Current State: 16:[70, 52, 46, 80], Operations: []
Exploring Operation: 70-52=18, Resulting Numbers: [46, 80, 18]
Generated Node #2: [46, 80, 18] from Operation: 70-52=18
Current State: 16:[46, 80, 18], Operations: ['70-52=18']
Exploring Operation: 80-46=34, Resulting Numbers: [18, 34]
Generated Node #3: [18, 34] from Operation: 80-46=34
Current State: 16:[18, 34], Operations: ['70-52=18', '80-46=34']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
72,
29,
33,
53
] | 23 | [
"72-29=43",
"53-33=20",
"43-20=23"
] | Current State: 23:[72, 29, 33, 53], Operations: []
Exploring Operation: 72-29=43, Resulting Numbers: [33, 53, 43]
Generated Node #2: [33, 53, 43] from Operation: 72-29=43
Current State: 23:[33, 53, 43], Operations: ['72-29=43']
Exploring Operation: 53-33=20, Resulting Numbers: [43, 20]
Generated Node #3: [43, 20] from Operation: 53-33=20
Current State: 23:[43, 20], Operations: ['72-29=43', '53-33=20']
Exploring Operation: 43-20=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
15,
86,
16,
95
] | 49 | [
"15*95=1425",
"86*16=1376",
"1425-1376=49"
] | Current State: 49:[15, 86, 16, 95], Operations: []
Exploring Operation: 15*95=1425, Resulting Numbers: [86, 16, 1425]
Generated Node #2: [86, 16, 1425] from Operation: 15*95=1425
Current State: 49:[86, 16, 1425], Operations: ['15*95=1425']
Exploring Operation: 86*16=1376, Resulting Numbers: [1425, 1376]
Generated Node #3: [1425, 1376] from Operation: 86*16=1376
Current State: 49:[1425, 1376], Operations: ['15*95=1425', '86*16=1376']
Exploring Operation: 1425-1376=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
46,
78,
59,
3
] | 37 | [
"78-46=32",
"3*32=96",
"96-59=37"
] | Current State: 37:[46, 78, 59, 3], Operations: []
Exploring Operation: 78-46=32, Resulting Numbers: [59, 3, 32]
Generated Node #2: [59, 3, 32] from Operation: 78-46=32
Current State: 37:[59, 3, 32], Operations: ['78-46=32']
Exploring Operation: 3*32=96, Resulting Numbers: [59, 96]
Generated Node #3: [59, 96] from Operation: 3*32=96
Current State: 37:[59, 96], Operations: ['78-46=32', '3*32=96']
Exploring Operation: 96-59=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
37,
92,
8,
23
] | 55 | [
"37+92=129",
"8*23=184",
"184-129=55"
] | Current State: 55:[37, 92, 8, 23], Operations: []
Exploring Operation: 37+92=129, Resulting Numbers: [8, 23, 129]
Generated Node #2: [8, 23, 129] from Operation: 37+92=129
Current State: 55:[8, 23, 129], Operations: ['37+92=129']
Exploring Operation: 8*23=184, Resulting Numbers: [129, 184]
Generated Node #3: [129, 184] from Operation: 8*23=184
Current State: 55:[129, 184], Operations: ['37+92=129', '8*23=184']
Exploring Operation: 184-129=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
23,
73,
51,
54
] | 93 | [
"23+73=96",
"54-51=3",
"96-3=93"
] | Current State: 93:[23, 73, 51, 54], Operations: []
Exploring Operation: 23+73=96, Resulting Numbers: [51, 54, 96]
Generated Node #2: [51, 54, 96] from Operation: 23+73=96
Current State: 93:[51, 54, 96], Operations: ['23+73=96']
Exploring Operation: 54-51=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 54-51=3
Current State: 93:[96, 3], Operations: ['23+73=96', '54-51=3']
Exploring Operation: 96-3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
52,
84,
1,
49
] | 91 | [
"52*84=4368",
"49-1=48",
"4368/48=91"
] | Current State: 91:[52, 84, 1, 49], Operations: []
Exploring Operation: 52*84=4368, Resulting Numbers: [1, 49, 4368]
Generated Node #2: [1, 49, 4368] from Operation: 52*84=4368
Current State: 91:[1, 49, 4368], Operations: ['52*84=4368']
Exploring Operation: 49-1=48, Resulting Numbers: [4368, 48]
Generated Node #3: [4368, 48] from Operation: 49-1=48
Current State: 91:[4368, 48], Operations: ['52*84=4368', '49-1=48']
Exploring Operation: 4368/48=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
57,
91,
1,
43
] | 78 | [
"91-57=34",
"1+43=44",
"34+44=78"
] | Current State: 78:[57, 91, 1, 43], Operations: []
Exploring Operation: 91-57=34, Resulting Numbers: [1, 43, 34]
Generated Node #2: [1, 43, 34] from Operation: 91-57=34
Current State: 78:[1, 43, 34], Operations: ['91-57=34']
Exploring Operation: 1+43=44, Resulting Numbers: [34, 44]
Generated Node #3: [34, 44] from Operation: 1+43=44
Current State: 78:[34, 44], Operations: ['91-57=34', '1+43=44']
Exploring Operation: 34+44=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
89,
38,
22,
27
] | 91 | [
"38-27=11",
"22/11=2",
"89+2=91"
] | Current State: 91:[89, 38, 22, 27], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [89, 22, 11]
Generated Node #2: [89, 22, 11] from Operation: 38-27=11
Current State: 91:[89, 22, 11], Operations: ['38-27=11']
Exploring Operation: 22/11=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 22/11=2
Current State: 91:[89, 2], Operations: ['38-27=11', '22/11=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
96,
58,
6,
35
] | 39 | [
"96/6=16",
"58-35=23",
"16+23=39"
] | Current State: 39:[96, 58, 6, 35], Operations: []
Exploring Operation: 96/6=16, Resulting Numbers: [58, 35, 16]
Generated Node #2: [58, 35, 16] from Operation: 96/6=16
Current State: 39:[58, 35, 16], Operations: ['96/6=16']
Exploring Operation: 58-35=23, Resulting Numbers: [16, 23]
Generated Node #3: [16, 23] from Operation: 58-35=23
Current State: 39:[16, 23], Operations: ['96/6=16', '58-35=23']
Exploring Operation: 16+23=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
4,
11,
22,
71
] | 15 | [
"22-11=11",
"71-11=60",
"60/4=15"
] | Current State: 15:[4, 11, 22, 71], Operations: []
Exploring Operation: 22-11=11, Resulting Numbers: [4, 71, 11]
Generated Node #2: [4, 71, 11] from Operation: 22-11=11
Current State: 15:[4, 71, 11], Operations: ['22-11=11']
Exploring Operation: 71-11=60, Resulting Numbers: [4, 60]
Generated Node #3: [4, 60] from Operation: 71-11=60
Current State: 15:[4, 60], Operations: ['22-11=11', '71-11=60']
Exploring Operation: 60/4=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
62,
22,
65,
56
] | 31 | [
"62-22=40",
"65-56=9",
"40-9=31"
] | Current State: 31:[62, 22, 65, 56], Operations: []
Exploring Operation: 62-22=40, Resulting Numbers: [65, 56, 40]
Generated Node #2: [65, 56, 40] from Operation: 62-22=40
Current State: 31:[65, 56, 40], Operations: ['62-22=40']
Exploring Operation: 65-56=9, Resulting Numbers: [40, 9]
Generated Node #3: [40, 9] from Operation: 65-56=9
Current State: 31:[40, 9], Operations: ['62-22=40', '65-56=9']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
31,
50,
15,
78
] | 82 | [
"50-31=19",
"78-15=63",
"19+63=82"
] | Current State: 82:[31, 50, 15, 78], Operations: []
Exploring Operation: 50-31=19, Resulting Numbers: [15, 78, 19]
Generated Node #2: [15, 78, 19] from Operation: 50-31=19
Current State: 82:[15, 78, 19], Operations: ['50-31=19']
Exploring Operation: 78-15=63, Resulting Numbers: [19, 63]
Generated Node #3: [19, 63] from Operation: 78-15=63
Current State: 82:[19, 63], Operations: ['50-31=19', '78-15=63']
Exploring Operation: 19+63=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
97,
41,
31,
9
] | 78 | [
"97-41=56",
"31-9=22",
"56+22=78"
] | Current State: 78:[97, 41, 31, 9], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [31, 9, 56]
Generated Node #2: [31, 9, 56] from Operation: 97-41=56
Current State: 78:[31, 9, 56], Operations: ['97-41=56']
Exploring Operation: 31-9=22, Resulting Numbers: [56, 22]
Generated Node #3: [56, 22] from Operation: 31-9=22
Current State: 78:[56, 22], Operations: ['97-41=56', '31-9=22']
Exploring Operation: 56+22=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
44,
14,
78,
16
] | 61 | [
"44+78=122",
"16-14=2",
"122/2=61"
] | Current State: 61:[44, 14, 78, 16], Operations: []
Exploring Operation: 44+78=122, Resulting Numbers: [14, 16, 122]
Generated Node #2: [14, 16, 122] from Operation: 44+78=122
Current State: 61:[14, 16, 122], Operations: ['44+78=122']
Exploring Operation: 16-14=2, Resulting Numbers: [122, 2]
Generated Node #3: [122, 2] from Operation: 16-14=2
Current State: 61:[122, 2], Operations: ['44+78=122', '16-14=2']
Exploring Operation: 122/2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
44,
68,
22,
6
] | 59 | [
"68+22=90",
"90/6=15",
"44+15=59"
] | Current State: 59:[44, 68, 22, 6], Operations: []
Exploring Operation: 68+22=90, Resulting Numbers: [44, 6, 90]
Generated Node #2: [44, 6, 90] from Operation: 68+22=90
Current State: 59:[44, 6, 90], Operations: ['68+22=90']
Exploring Operation: 90/6=15, Resulting Numbers: [44, 15]
Generated Node #3: [44, 15] from Operation: 90/6=15
Current State: 59:[44, 15], Operations: ['68+22=90', '90/6=15']
Exploring Operation: 44+15=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
34,
2,
76,
32
] | 87 | [
"34+76=110",
"110/2=55",
"32+55=87"
] | Current State: 87:[34, 2, 76, 32], Operations: []
Exploring Operation: 34+76=110, Resulting Numbers: [2, 32, 110]
Generated Node #2: [2, 32, 110] from Operation: 34+76=110
Current State: 87:[2, 32, 110], Operations: ['34+76=110']
Exploring Operation: 110/2=55, Resulting Numbers: [32, 55]
Generated Node #3: [32, 55] from Operation: 110/2=55
Current State: 87:[32, 55], Operations: ['34+76=110', '110/2=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
17,
28,
35,
76
] | 66 | [
"17+28=45",
"35+76=111",
"111-45=66"
] | Current State: 66:[17, 28, 35, 76], Operations: []
Exploring Operation: 17+28=45, Resulting Numbers: [35, 76, 45]
Generated Node #2: [35, 76, 45] from Operation: 17+28=45
Current State: 66:[35, 76, 45], Operations: ['17+28=45']
Exploring Operation: 35+76=111, Resulting Numbers: [45, 111]
Generated Node #3: [45, 111] from Operation: 35+76=111
Current State: 66:[45, 111], Operations: ['17+28=45', '35+76=111']
Exploring Operation: 111-45=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
15,
35,
33,
26
] | 20 | [
"33-26=7",
"35/7=5",
"15+5=20"
] | Current State: 20:[15, 35, 33, 26], Operations: []
Exploring Operation: 33-26=7, Resulting Numbers: [15, 35, 7]
Generated Node #2: [15, 35, 7] from Operation: 33-26=7
Current State: 20:[15, 35, 7], Operations: ['33-26=7']
Exploring Operation: 35/7=5, Resulting Numbers: [15, 5]
Generated Node #3: [15, 5] from Operation: 35/7=5
Current State: 20:[15, 5], Operations: ['33-26=7', '35/7=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
5,
3,
1,
96
] | 43 | [
"3-1=2",
"96/2=48",
"48-5=43"
] | Current State: 43:[5, 3, 1, 96], Operations: []
Exploring Operation: 3-1=2, Resulting Numbers: [5, 96, 2]
Generated Node #2: [5, 96, 2] from Operation: 3-1=2
Current State: 43:[5, 96, 2], Operations: ['3-1=2']
Exploring Operation: 96/2=48, Resulting Numbers: [5, 48]
Generated Node #3: [5, 48] from Operation: 96/2=48
Current State: 43:[5, 48], Operations: ['3-1=2', '96/2=48']
Exploring Operation: 48-5=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
14,
27,
69,
81
] | 53 | [
"14+27=41",
"81-69=12",
"41+12=53"
] | Current State: 53:[14, 27, 69, 81], Operations: []
Exploring Operation: 14+27=41, Resulting Numbers: [69, 81, 41]
Generated Node #2: [69, 81, 41] from Operation: 14+27=41
Current State: 53:[69, 81, 41], Operations: ['14+27=41']
Exploring Operation: 81-69=12, Resulting Numbers: [41, 12]
Generated Node #3: [41, 12] from Operation: 81-69=12
Current State: 53:[41, 12], Operations: ['14+27=41', '81-69=12']
Exploring Operation: 41+12=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
16,
1,
39,
37
] | 14 | [
"16*1=16",
"39-37=2",
"16-2=14"
] | Current State: 14:[16, 1, 39, 37], Operations: []
Exploring Operation: 16*1=16, Resulting Numbers: [39, 37, 16]
Generated Node #2: [39, 37, 16] from Operation: 16*1=16
Current State: 14:[39, 37, 16], Operations: ['16*1=16']
Exploring Operation: 39-37=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 39-37=2
Current State: 14:[16, 2], Operations: ['16*1=16', '39-37=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
51,
2,
72,
76
] | 49 | [
"51+2=53",
"76-72=4",
"53-4=49"
] | Current State: 49:[51, 2, 72, 76], Operations: []
Exploring Operation: 51+2=53, Resulting Numbers: [72, 76, 53]
Generated Node #2: [72, 76, 53] from Operation: 51+2=53
Current State: 49:[72, 76, 53], Operations: ['51+2=53']
Exploring Operation: 76-72=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 76-72=4
Current State: 49:[53, 4], Operations: ['51+2=53', '76-72=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
52,
11,
38,
80
] | 74 | [
"52-38=14",
"11*14=154",
"154-80=74"
] | Current State: 74:[52, 11, 38, 80], Operations: []
Exploring Operation: 52-38=14, Resulting Numbers: [11, 80, 14]
Generated Node #2: [11, 80, 14] from Operation: 52-38=14
Current State: 74:[11, 80, 14], Operations: ['52-38=14']
Exploring Operation: 11*14=154, Resulting Numbers: [80, 154]
Generated Node #3: [80, 154] from Operation: 11*14=154
Current State: 74:[80, 154], Operations: ['52-38=14', '11*14=154']
Exploring Operation: 154-80=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
13,
82,
34,
24
] | 43 | [
"13*82=1066",
"1066-34=1032",
"1032/24=43"
] | Current State: 43:[13, 82, 34, 24], Operations: []
Exploring Operation: 13*82=1066, Resulting Numbers: [34, 24, 1066]
Generated Node #2: [34, 24, 1066] from Operation: 13*82=1066
Current State: 43:[34, 24, 1066], Operations: ['13*82=1066']
Exploring Operation: 1066-34=1032, Resulting Numbers: [24, 1032]
Generated Node #3: [24, 1032] from Operation: 1066-34=1032
Current State: 43:[24, 1032], Operations: ['13*82=1066', '1066-34=1032']
Exploring Operation: 1032/24=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
25,
5,
63,
42
] | 22 | [
"42-25=17",
"5*17=85",
"85-63=22"
] | Current State: 22:[25, 5, 63, 42], Operations: []
Exploring Operation: 42-25=17, Resulting Numbers: [5, 63, 17]
Generated Node #2: [5, 63, 17] from Operation: 42-25=17
Current State: 22:[5, 63, 17], Operations: ['42-25=17']
Exploring Operation: 5*17=85, Resulting Numbers: [63, 85]
Generated Node #3: [63, 85] from Operation: 5*17=85
Current State: 22:[63, 85], Operations: ['42-25=17', '5*17=85']
Exploring Operation: 85-63=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
36,
46,
58,
94
] | 45 | [
"36+58=94",
"94/94=1",
"46-1=45"
] | Current State: 45:[36, 46, 58, 94], Operations: []
Exploring Operation: 36+58=94, Resulting Numbers: [46, 94, 94]
Generated Node #2: [46, 94, 94] from Operation: 36+58=94
Current State: 45:[46, 94, 94], Operations: ['36+58=94']
Exploring Operation: 94/94=1, Resulting Numbers: [46, 1]
Generated Node #3: [46, 1] from Operation: 94/94=1
Current State: 45:[46, 1], Operations: ['36+58=94', '94/94=1']
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
52,
34,
5,
12
] | 42 | [
"52-34=18",
"5*12=60",
"60-18=42"
] | Current State: 42:[52, 34, 5, 12], Operations: []
Exploring Operation: 52-34=18, Resulting Numbers: [5, 12, 18]
Generated Node #2: [5, 12, 18] from Operation: 52-34=18
Current State: 42:[5, 12, 18], Operations: ['52-34=18']
Exploring Operation: 5*12=60, Resulting Numbers: [18, 60]
Generated Node #3: [18, 60] from Operation: 5*12=60
Current State: 42:[18, 60], Operations: ['52-34=18', '5*12=60']
Exploring Operation: 60-18=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
34,
23,
33,
48
] | 70 | [
"34-23=11",
"33+48=81",
"81-11=70"
] | Current State: 70:[34, 23, 33, 48], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [33, 48, 11]
Generated Node #2: [33, 48, 11] from Operation: 34-23=11
Current State: 70:[33, 48, 11], Operations: ['34-23=11']
Exploring Operation: 33+48=81, Resulting Numbers: [11, 81]
Generated Node #3: [11, 81] from Operation: 33+48=81
Current State: 70:[11, 81], Operations: ['34-23=11', '33+48=81']
Exploring Operation: 81-11=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
21,
60,
11,
48
] | 20 | [
"60-21=39",
"11+48=59",
"59-39=20"
] | Current State: 20:[21, 60, 11, 48], Operations: []
Exploring Operation: 60-21=39, Resulting Numbers: [11, 48, 39]
Generated Node #2: [11, 48, 39] from Operation: 60-21=39
Current State: 20:[11, 48, 39], Operations: ['60-21=39']
Exploring Operation: 11+48=59, Resulting Numbers: [39, 59]
Generated Node #3: [39, 59] from Operation: 11+48=59
Current State: 20:[39, 59], Operations: ['60-21=39', '11+48=59']
Exploring Operation: 59-39=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
19,
61,
54,
42
] | 55 | [
"61-19=42",
"42/42=1",
"54+1=55"
] | Current State: 55:[19, 61, 54, 42], Operations: []
Exploring Operation: 61-19=42, Resulting Numbers: [54, 42, 42]
Generated Node #2: [54, 42, 42] from Operation: 61-19=42
Current State: 55:[54, 42, 42], Operations: ['61-19=42']
Exploring Operation: 42/42=1, Resulting Numbers: [54, 1]
Generated Node #3: [54, 1] from Operation: 42/42=1
Current State: 55:[54, 1], Operations: ['61-19=42', '42/42=1']
Exploring Operation: 54+1=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
76,
51,
70,
3
] | 19 | [
"76+51=127",
"127-70=57",
"57/3=19"
] | Current State: 19:[76, 51, 70, 3], Operations: []
Exploring Operation: 76+51=127, Resulting Numbers: [70, 3, 127]
Generated Node #2: [70, 3, 127] from Operation: 76+51=127
Current State: 19:[70, 3, 127], Operations: ['76+51=127']
Exploring Operation: 127-70=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 127-70=57
Current State: 19:[3, 57], Operations: ['76+51=127', '127-70=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
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