nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
6,
16,
29
] | 37 | [
"2+6=8",
"16+29=45",
"45-8=37"
] | Current State: 37:[2, 6, 16, 29], Operations: []
Exploring Operation: 2+6=8, Resulting Numbers: [16, 29, 8]
Generated Node #2: [16, 29, 8] from Operation: 2+6=8
Current State: 37:[16, 29, 8], Operations: ['2+6=8']
Exploring Operation: 16+29=45, Resulting Numbers: [8, 45]
Generated Node #3: [8, 45] from Operation: 16+29=45
Current State: 37:[8, 45], Operations: ['2+6=8', '16+29=45']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
24,
55,
86
] | 44 | [
"51+24=75",
"86-55=31",
"75-31=44"
] | Current State: 44:[51, 24, 55, 86], Operations: []
Exploring Operation: 51+24=75, Resulting Numbers: [55, 86, 75]
Generated Node #2: [55, 86, 75] from Operation: 51+24=75
Current State: 44:[55, 86, 75], Operations: ['51+24=75']
Exploring Operation: 86-55=31, Resulting Numbers: [75, 31]
Generated Node #3: [75, 31] from Operation: 86-55=31
Current State: 44:[75, 31], Operations: ['51+24=75', '86-55=31']
Exploring Operation: 75-31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
88,
46,
37,
96
] | 17 | [
"88-46=42",
"96-37=59",
"59-42=17"
] | Current State: 17:[88, 46, 37, 96], Operations: []
Exploring Operation: 88-46=42, Resulting Numbers: [37, 96, 42]
Generated Node #2: [37, 96, 42] from Operation: 88-46=42
Current State: 17:[37, 96, 42], Operations: ['88-46=42']
Exploring Operation: 96-37=59, Resulting Numbers: [42, 59]
Generated Node #3: [42, 59] from Operation: 96-37=59
Current State: 17:[42, 59], Operations: ['88-46=42', '96-37=59']
Exploring Operation: 59-42=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
53,
50,
14,
56
] | 16 | [
"50+56=106",
"106/53=2",
"14+2=16"
] | Current State: 16:[53, 50, 14, 56], Operations: []
Exploring Operation: 50+56=106, Resulting Numbers: [53, 14, 106]
Generated Node #2: [53, 14, 106] from Operation: 50+56=106
Current State: 16:[53, 14, 106], Operations: ['50+56=106']
Exploring Operation: 106/53=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 106/53=2
Current State: 16:[14, 2], Operations: ['50+56=106', '106/53=2']
Exploring Operation: 14+2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
60,
10,
16,
59
] | 25 | [
"60-10=50",
"16+59=75",
"75-50=25"
] | Current State: 25:[60, 10, 16, 59], Operations: []
Exploring Operation: 60-10=50, Resulting Numbers: [16, 59, 50]
Generated Node #2: [16, 59, 50] from Operation: 60-10=50
Current State: 25:[16, 59, 50], Operations: ['60-10=50']
Exploring Operation: 16+59=75, Resulting Numbers: [50, 75]
Generated Node #3: [50, 75] from Operation: 16+59=75
Current State: 25:[50, 75], Operations: ['60-10=50', '16+59=75']
Exploring Operation: 75-50=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
38,
20,
3,
32
] | 56 | [
"38-3=35",
"32*35=1120",
"1120/20=56"
] | Current State: 56:[38, 20, 3, 32], Operations: []
Exploring Operation: 38-3=35, Resulting Numbers: [20, 32, 35]
Generated Node #2: [20, 32, 35] from Operation: 38-3=35
Current State: 56:[20, 32, 35], Operations: ['38-3=35']
Exploring Operation: 32*35=1120, Resulting Numbers: [20, 1120]
Generated Node #3: [20, 1120] from Operation: 32*35=1120
Current State: 56:[20, 1120], Operations: ['38-3=35', '32*35=1120']
Exploring Operation: 1120/20=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
60,
3,
66,
6
] | 82 | [
"6-3=3",
"66/3=22",
"60+22=82"
] | Current State: 82:[60, 3, 66, 6], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [60, 66, 3]
Generated Node #2: [60, 66, 3] from Operation: 6-3=3
Current State: 82:[60, 66, 3], Operations: ['6-3=3']
Exploring Operation: 66/3=22, Resulting Numbers: [60, 22]
Generated Node #3: [60, 22] from Operation: 66/3=22
Current State: 82:[60, 22], Operations: ['6-3=3', '66/3=22']
Exploring Operation: 60+22=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
75,
71,
55,
6
] | 97 | [
"75+71=146",
"55-6=49",
"146-49=97"
] | Current State: 97:[75, 71, 55, 6], Operations: []
Exploring Operation: 75+71=146, Resulting Numbers: [55, 6, 146]
Generated Node #2: [55, 6, 146] from Operation: 75+71=146
Current State: 97:[55, 6, 146], Operations: ['75+71=146']
Exploring Operation: 55-6=49, Resulting Numbers: [146, 49]
Generated Node #3: [146, 49] from Operation: 55-6=49
Current State: 97:[146, 49], Operations: ['75+71=146', '55-6=49']
Exploring Operation: 146-49=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
70,
51,
39,
77
] | 57 | [
"70-51=19",
"77-39=38",
"19+38=57"
] | Current State: 57:[70, 51, 39, 77], Operations: []
Exploring Operation: 70-51=19, Resulting Numbers: [39, 77, 19]
Generated Node #2: [39, 77, 19] from Operation: 70-51=19
Current State: 57:[39, 77, 19], Operations: ['70-51=19']
Exploring Operation: 77-39=38, Resulting Numbers: [19, 38]
Generated Node #3: [19, 38] from Operation: 77-39=38
Current State: 57:[19, 38], Operations: ['70-51=19', '77-39=38']
Exploring Operation: 19+38=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
95,
18,
18,
37
] | 96 | [
"95-18=77",
"37-18=19",
"77+19=96"
] | Current State: 96:[95, 18, 18, 37], Operations: []
Exploring Operation: 95-18=77, Resulting Numbers: [37, 77]
Generated Node #2: [37, 77] from Operation: 95-18=77
Current State: 96:[37, 77], Operations: ['95-18=77']
Exploring Operation: 37-18=19, Resulting Numbers: [77, 19]
Generated Node #3: [77, 19] from Operation: 37-18=19
Current State: 96:[77, 19], Operations: ['95-18=77', '37-18=19']
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
74,
73,
17,
2
] | 93 | [
"74/2=37",
"73-17=56",
"37+56=93"
] | Current State: 93:[74, 73, 17, 2], Operations: []
Exploring Operation: 74/2=37, Resulting Numbers: [73, 17, 37]
Generated Node #2: [73, 17, 37] from Operation: 74/2=37
Current State: 93:[73, 17, 37], Operations: ['74/2=37']
Exploring Operation: 73-17=56, Resulting Numbers: [37, 56]
Generated Node #3: [37, 56] from Operation: 73-17=56
Current State: 93:[37, 56], Operations: ['74/2=37', '73-17=56']
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
75,
24,
46,
90
] | 55 | [
"75+24=99",
"90-46=44",
"99-44=55"
] | Current State: 55:[75, 24, 46, 90], Operations: []
Exploring Operation: 75+24=99, Resulting Numbers: [46, 90, 99]
Generated Node #2: [46, 90, 99] from Operation: 75+24=99
Current State: 55:[46, 90, 99], Operations: ['75+24=99']
Exploring Operation: 90-46=44, Resulting Numbers: [99, 44]
Generated Node #3: [99, 44] from Operation: 90-46=44
Current State: 55:[99, 44], Operations: ['75+24=99', '90-46=44']
Exploring Operation: 99-44=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
72,
10,
74,
28
] | 33 | [
"74-72=2",
"10/2=5",
"28+5=33"
] | Current State: 33:[72, 10, 74, 28], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [10, 28, 2]
Generated Node #2: [10, 28, 2] from Operation: 74-72=2
Current State: 33:[10, 28, 2], Operations: ['74-72=2']
Exploring Operation: 10/2=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 10/2=5
Current State: 33:[28, 5], Operations: ['74-72=2', '10/2=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
33,
14,
99,
29
] | 46 | [
"99/33=3",
"14+29=43",
"3+43=46"
] | Current State: 46:[33, 14, 99, 29], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [14, 29, 3]
Generated Node #2: [14, 29, 3] from Operation: 99/33=3
Current State: 46:[14, 29, 3], Operations: ['99/33=3']
Exploring Operation: 14+29=43, Resulting Numbers: [3, 43]
Generated Node #3: [3, 43] from Operation: 14+29=43
Current State: 46:[3, 43], Operations: ['99/33=3', '14+29=43']
Exploring Operation: 3+43=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
71,
18,
25,
7
] | 86 | [
"71+18=89",
"25*7=175",
"175-89=86"
] | Current State: 86:[71, 18, 25, 7], Operations: []
Exploring Operation: 71+18=89, Resulting Numbers: [25, 7, 89]
Generated Node #2: [25, 7, 89] from Operation: 71+18=89
Current State: 86:[25, 7, 89], Operations: ['71+18=89']
Exploring Operation: 25*7=175, Resulting Numbers: [89, 175]
Generated Node #3: [89, 175] from Operation: 25*7=175
Current State: 86:[89, 175], Operations: ['71+18=89', '25*7=175']
Exploring Operation: 175-89=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
10,
54,
12,
80
] | 50 | [
"80/10=8",
"54-12=42",
"8+42=50"
] | Current State: 50:[10, 54, 12, 80], Operations: []
Exploring Operation: 80/10=8, Resulting Numbers: [54, 12, 8]
Generated Node #2: [54, 12, 8] from Operation: 80/10=8
Current State: 50:[54, 12, 8], Operations: ['80/10=8']
Exploring Operation: 54-12=42, Resulting Numbers: [8, 42]
Generated Node #3: [8, 42] from Operation: 54-12=42
Current State: 50:[8, 42], Operations: ['80/10=8', '54-12=42']
Exploring Operation: 8+42=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
63,
70,
27,
89
] | 69 | [
"70-63=7",
"89-27=62",
"7+62=69"
] | Current State: 69:[63, 70, 27, 89], Operations: []
Exploring Operation: 70-63=7, Resulting Numbers: [27, 89, 7]
Generated Node #2: [27, 89, 7] from Operation: 70-63=7
Current State: 69:[27, 89, 7], Operations: ['70-63=7']
Exploring Operation: 89-27=62, Resulting Numbers: [7, 62]
Generated Node #3: [7, 62] from Operation: 89-27=62
Current State: 69:[7, 62], Operations: ['70-63=7', '89-27=62']
Exploring Operation: 7+62=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
7,
17,
7,
42
] | 11 | [
"7+17=24",
"42-7=35",
"35-24=11"
] | Current State: 11:[7, 17, 7, 42], Operations: []
Exploring Operation: 7+17=24, Resulting Numbers: [42, 24]
Generated Node #2: [42, 24] from Operation: 7+17=24
Current State: 11:[42, 24], Operations: ['7+17=24']
Exploring Operation: 42-7=35, Resulting Numbers: [24, 35]
Generated Node #3: [24, 35] from Operation: 42-7=35
Current State: 11:[24, 35], Operations: ['7+17=24', '42-7=35']
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
43,
63,
48,
50
] | 53 | [
"43+63=106",
"50-48=2",
"106/2=53"
] | Current State: 53:[43, 63, 48, 50], Operations: []
Exploring Operation: 43+63=106, Resulting Numbers: [48, 50, 106]
Generated Node #2: [48, 50, 106] from Operation: 43+63=106
Current State: 53:[48, 50, 106], Operations: ['43+63=106']
Exploring Operation: 50-48=2, Resulting Numbers: [106, 2]
Generated Node #3: [106, 2] from Operation: 50-48=2
Current State: 53:[106, 2], Operations: ['43+63=106', '50-48=2']
Exploring Operation: 106/2=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
37,
80,
21,
3
] | 19 | [
"80-37=43",
"21+3=24",
"43-24=19"
] | Current State: 19:[37, 80, 21, 3], Operations: []
Exploring Operation: 80-37=43, Resulting Numbers: [21, 3, 43]
Generated Node #2: [21, 3, 43] from Operation: 80-37=43
Current State: 19:[21, 3, 43], Operations: ['80-37=43']
Exploring Operation: 21+3=24, Resulting Numbers: [43, 24]
Generated Node #3: [43, 24] from Operation: 21+3=24
Current State: 19:[43, 24], Operations: ['80-37=43', '21+3=24']
Exploring Operation: 43-24=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
72,
14,
50,
12
] | 44 | [
"72-50=22",
"14-12=2",
"22*2=44"
] | Current State: 44:[72, 14, 50, 12], Operations: []
Exploring Operation: 72-50=22, Resulting Numbers: [14, 12, 22]
Generated Node #2: [14, 12, 22] from Operation: 72-50=22
Current State: 44:[14, 12, 22], Operations: ['72-50=22']
Exploring Operation: 14-12=2, Resulting Numbers: [22, 2]
Generated Node #3: [22, 2] from Operation: 14-12=2
Current State: 44:[22, 2], Operations: ['72-50=22', '14-12=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
58,
74,
34,
5
] | 50 | [
"74-34=40",
"40/5=8",
"58-8=50"
] | Current State: 50:[58, 74, 34, 5], Operations: []
Exploring Operation: 74-34=40, Resulting Numbers: [58, 5, 40]
Generated Node #2: [58, 5, 40] from Operation: 74-34=40
Current State: 50:[58, 5, 40], Operations: ['74-34=40']
Exploring Operation: 40/5=8, Resulting Numbers: [58, 8]
Generated Node #3: [58, 8] from Operation: 40/5=8
Current State: 50:[58, 8], Operations: ['74-34=40', '40/5=8']
Exploring Operation: 58-8=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
69,
24,
16,
4
] | 97 | [
"69+24=93",
"16/4=4",
"93+4=97"
] | Current State: 97:[69, 24, 16, 4], Operations: []
Exploring Operation: 69+24=93, Resulting Numbers: [16, 4, 93]
Generated Node #2: [16, 4, 93] from Operation: 69+24=93
Current State: 97:[16, 4, 93], Operations: ['69+24=93']
Exploring Operation: 16/4=4, Resulting Numbers: [93, 4]
Generated Node #3: [93, 4] from Operation: 16/4=4
Current State: 97:[93, 4], Operations: ['69+24=93', '16/4=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
91,
1,
89
] | 67 | [
"91-68=23",
"1+89=90",
"90-23=67"
] | Current State: 67:[68, 91, 1, 89], Operations: []
Exploring Operation: 91-68=23, Resulting Numbers: [1, 89, 23]
Generated Node #2: [1, 89, 23] from Operation: 91-68=23
Current State: 67:[1, 89, 23], Operations: ['91-68=23']
Exploring Operation: 1+89=90, Resulting Numbers: [23, 90]
Generated Node #3: [23, 90] from Operation: 1+89=90
Current State: 67:[23, 90], Operations: ['91-68=23', '1+89=90']
Exploring Operation: 90-23=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
93,
48,
82,
60
] | 23 | [
"93-48=45",
"82-60=22",
"45-22=23"
] | Current State: 23:[93, 48, 82, 60], Operations: []
Exploring Operation: 93-48=45, Resulting Numbers: [82, 60, 45]
Generated Node #2: [82, 60, 45] from Operation: 93-48=45
Current State: 23:[82, 60, 45], Operations: ['93-48=45']
Exploring Operation: 82-60=22, Resulting Numbers: [45, 22]
Generated Node #3: [45, 22] from Operation: 82-60=22
Current State: 23:[45, 22], Operations: ['93-48=45', '82-60=22']
Exploring Operation: 45-22=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
84,
48,
42,
26
] | 76 | [
"84/42=2",
"48+26=74",
"2+74=76"
] | Current State: 76:[84, 48, 42, 26], Operations: []
Exploring Operation: 84/42=2, Resulting Numbers: [48, 26, 2]
Generated Node #2: [48, 26, 2] from Operation: 84/42=2
Current State: 76:[48, 26, 2], Operations: ['84/42=2']
Exploring Operation: 48+26=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 48+26=74
Current State: 76:[2, 74], Operations: ['84/42=2', '48+26=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
19,
74,
42,
32
] | 62 | [
"19*74=1406",
"42*32=1344",
"1406-1344=62"
] | Current State: 62:[19, 74, 42, 32], Operations: []
Exploring Operation: 19*74=1406, Resulting Numbers: [42, 32, 1406]
Generated Node #2: [42, 32, 1406] from Operation: 19*74=1406
Current State: 62:[42, 32, 1406], Operations: ['19*74=1406']
Exploring Operation: 42*32=1344, Resulting Numbers: [1406, 1344]
Generated Node #3: [1406, 1344] from Operation: 42*32=1344
Current State: 62:[1406, 1344], Operations: ['19*74=1406', '42*32=1344']
Exploring Operation: 1406-1344=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
9,
54,
84,
15
] | 43 | [
"84+15=99",
"99/9=11",
"54-11=43"
] | Current State: 43:[9, 54, 84, 15], Operations: []
Exploring Operation: 84+15=99, Resulting Numbers: [9, 54, 99]
Generated Node #2: [9, 54, 99] from Operation: 84+15=99
Current State: 43:[9, 54, 99], Operations: ['84+15=99']
Exploring Operation: 99/9=11, Resulting Numbers: [54, 11]
Generated Node #3: [54, 11] from Operation: 99/9=11
Current State: 43:[54, 11], Operations: ['84+15=99', '99/9=11']
Exploring Operation: 54-11=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
12,
55,
20,
75
] | 52 | [
"55-12=43",
"20+75=95",
"95-43=52"
] | Current State: 52:[12, 55, 20, 75], Operations: []
Exploring Operation: 55-12=43, Resulting Numbers: [20, 75, 43]
Generated Node #2: [20, 75, 43] from Operation: 55-12=43
Current State: 52:[20, 75, 43], Operations: ['55-12=43']
Exploring Operation: 20+75=95, Resulting Numbers: [43, 95]
Generated Node #3: [43, 95] from Operation: 20+75=95
Current State: 52:[43, 95], Operations: ['55-12=43', '20+75=95']
Exploring Operation: 95-43=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
53,
24,
31,
88
] | 44 | [
"53-24=29",
"31-29=2",
"88/2=44"
] | Current State: 44:[53, 24, 31, 88], Operations: []
Exploring Operation: 53-24=29, Resulting Numbers: [31, 88, 29]
Generated Node #2: [31, 88, 29] from Operation: 53-24=29
Current State: 44:[31, 88, 29], Operations: ['53-24=29']
Exploring Operation: 31-29=2, Resulting Numbers: [88, 2]
Generated Node #3: [88, 2] from Operation: 31-29=2
Current State: 44:[88, 2], Operations: ['53-24=29', '31-29=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
43,
31,
13,
98
] | 99 | [
"43-31=12",
"13+98=111",
"111-12=99"
] | Current State: 99:[43, 31, 13, 98], Operations: []
Exploring Operation: 43-31=12, Resulting Numbers: [13, 98, 12]
Generated Node #2: [13, 98, 12] from Operation: 43-31=12
Current State: 99:[13, 98, 12], Operations: ['43-31=12']
Exploring Operation: 13+98=111, Resulting Numbers: [12, 111]
Generated Node #3: [12, 111] from Operation: 13+98=111
Current State: 99:[12, 111], Operations: ['43-31=12', '13+98=111']
Exploring Operation: 111-12=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
38,
24,
3,
4
] | 44 | [
"38-24=14",
"14-3=11",
"4*11=44"
] | Current State: 44:[38, 24, 3, 4], Operations: []
Exploring Operation: 38-24=14, Resulting Numbers: [3, 4, 14]
Generated Node #2: [3, 4, 14] from Operation: 38-24=14
Current State: 44:[3, 4, 14], Operations: ['38-24=14']
Exploring Operation: 14-3=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 14-3=11
Current State: 44:[4, 11], Operations: ['38-24=14', '14-3=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
10,
2,
2,
30
] | 74 | [
"2+30=32",
"2*32=64",
"10+64=74"
] | Current State: 74:[10, 2, 2, 30], Operations: []
Exploring Operation: 2+30=32, Resulting Numbers: [10, 32]
Generated Node #2: [10, 32] from Operation: 2+30=32
Current State: 74:[10, 32], Operations: ['2+30=32']
Exploring Operation: 2*32=64, Resulting Numbers: [10, 64]
Generated Node #3: [10, 64] from Operation: 2*32=64
Current State: 74:[10, 64], Operations: ['2+30=32', '2*32=64']
Exploring Operation: 10+64=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
28,
6,
19,
25
] | 21 | [
"28-25=3",
"6/3=2",
"19+2=21"
] | Current State: 21:[28, 6, 19, 25], Operations: []
Exploring Operation: 28-25=3, Resulting Numbers: [6, 19, 3]
Generated Node #2: [6, 19, 3] from Operation: 28-25=3
Current State: 21:[6, 19, 3], Operations: ['28-25=3']
Exploring Operation: 6/3=2, Resulting Numbers: [19, 2]
Generated Node #3: [19, 2] from Operation: 6/3=2
Current State: 21:[19, 2], Operations: ['28-25=3', '6/3=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
52,
53,
3,
33
] | 69 | [
"52+53=105",
"3+33=36",
"105-36=69"
] | Current State: 69:[52, 53, 3, 33], Operations: []
Exploring Operation: 52+53=105, Resulting Numbers: [3, 33, 105]
Generated Node #2: [3, 33, 105] from Operation: 52+53=105
Current State: 69:[3, 33, 105], Operations: ['52+53=105']
Exploring Operation: 3+33=36, Resulting Numbers: [105, 36]
Generated Node #3: [105, 36] from Operation: 3+33=36
Current State: 69:[105, 36], Operations: ['52+53=105', '3+33=36']
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
14,
92,
72,
66
] | 21 | [
"72+66=138",
"14*138=1932",
"1932/92=21"
] | Current State: 21:[14, 92, 72, 66], Operations: []
Exploring Operation: 72+66=138, Resulting Numbers: [14, 92, 138]
Generated Node #2: [14, 92, 138] from Operation: 72+66=138
Current State: 21:[14, 92, 138], Operations: ['72+66=138']
Exploring Operation: 14*138=1932, Resulting Numbers: [92, 1932]
Generated Node #3: [92, 1932] from Operation: 14*138=1932
Current State: 21:[92, 1932], Operations: ['72+66=138', '14*138=1932']
Exploring Operation: 1932/92=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
64,
74,
18,
4
] | 76 | [
"64/4=16",
"74+18=92",
"92-16=76"
] | Current State: 76:[64, 74, 18, 4], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [74, 18, 16]
Generated Node #2: [74, 18, 16] from Operation: 64/4=16
Current State: 76:[74, 18, 16], Operations: ['64/4=16']
Exploring Operation: 74+18=92, Resulting Numbers: [16, 92]
Generated Node #3: [16, 92] from Operation: 74+18=92
Current State: 76:[16, 92], Operations: ['64/4=16', '74+18=92']
Exploring Operation: 92-16=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
89,
25,
6,
48
] | 22 | [
"89-25=64",
"48-6=42",
"64-42=22"
] | Current State: 22:[89, 25, 6, 48], Operations: []
Exploring Operation: 89-25=64, Resulting Numbers: [6, 48, 64]
Generated Node #2: [6, 48, 64] from Operation: 89-25=64
Current State: 22:[6, 48, 64], Operations: ['89-25=64']
Exploring Operation: 48-6=42, Resulting Numbers: [64, 42]
Generated Node #3: [64, 42] from Operation: 48-6=42
Current State: 22:[64, 42], Operations: ['89-25=64', '48-6=42']
Exploring Operation: 64-42=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
75,
83,
84,
62
] | 30 | [
"83-75=8",
"84-62=22",
"8+22=30"
] | Current State: 30:[75, 83, 84, 62], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [84, 62, 8]
Generated Node #2: [84, 62, 8] from Operation: 83-75=8
Current State: 30:[84, 62, 8], Operations: ['83-75=8']
Exploring Operation: 84-62=22, Resulting Numbers: [8, 22]
Generated Node #3: [8, 22] from Operation: 84-62=22
Current State: 30:[8, 22], Operations: ['83-75=8', '84-62=22']
Exploring Operation: 8+22=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
38,
36,
8,
46
] | 100 | [
"38-36=2",
"46*2=92",
"8+92=100"
] | Current State: 100:[38, 36, 8, 46], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [8, 46, 2]
Generated Node #2: [8, 46, 2] from Operation: 38-36=2
Current State: 100:[8, 46, 2], Operations: ['38-36=2']
Exploring Operation: 46*2=92, Resulting Numbers: [8, 92]
Generated Node #3: [8, 92] from Operation: 46*2=92
Current State: 100:[8, 92], Operations: ['38-36=2', '46*2=92']
Exploring Operation: 8+92=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
10,
21,
22
] | 27 | [
"36-10=26",
"22-21=1",
"26+1=27"
] | Current State: 27:[36, 10, 21, 22], Operations: []
Exploring Operation: 36-10=26, Resulting Numbers: [21, 22, 26]
Generated Node #2: [21, 22, 26] from Operation: 36-10=26
Current State: 27:[21, 22, 26], Operations: ['36-10=26']
Exploring Operation: 22-21=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 22-21=1
Current State: 27:[26, 1], Operations: ['36-10=26', '22-21=1']
Exploring Operation: 26+1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
53,
79,
85
] | 33 | [
"89-85=4",
"53+79=132",
"132/4=33"
] | Current State: 33:[89, 53, 79, 85], Operations: []
Exploring Operation: 89-85=4, Resulting Numbers: [53, 79, 4]
Generated Node #2: [53, 79, 4] from Operation: 89-85=4
Current State: 33:[53, 79, 4], Operations: ['89-85=4']
Exploring Operation: 53+79=132, Resulting Numbers: [4, 132]
Generated Node #3: [4, 132] from Operation: 53+79=132
Current State: 33:[4, 132], Operations: ['89-85=4', '53+79=132']
Exploring Operation: 132/4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
2,
19,
5,
26
] | 60 | [
"2*19=38",
"38-26=12",
"5*12=60"
] | Current State: 60:[2, 19, 5, 26], Operations: []
Exploring Operation: 2*19=38, Resulting Numbers: [5, 26, 38]
Generated Node #2: [5, 26, 38] from Operation: 2*19=38
Current State: 60:[5, 26, 38], Operations: ['2*19=38']
Exploring Operation: 38-26=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 38-26=12
Current State: 60:[5, 12], Operations: ['2*19=38', '38-26=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
37,
81,
60,
90
] | 66 | [
"81-37=44",
"90*44=3960",
"3960/60=66"
] | Current State: 66:[37, 81, 60, 90], Operations: []
Exploring Operation: 81-37=44, Resulting Numbers: [60, 90, 44]
Generated Node #2: [60, 90, 44] from Operation: 81-37=44
Current State: 66:[60, 90, 44], Operations: ['81-37=44']
Exploring Operation: 90*44=3960, Resulting Numbers: [60, 3960]
Generated Node #3: [60, 3960] from Operation: 90*44=3960
Current State: 66:[60, 3960], Operations: ['81-37=44', '90*44=3960']
Exploring Operation: 3960/60=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
7,
13,
90,
2
] | 94 | [
"13-7=6",
"90-2=88",
"6+88=94"
] | Current State: 94:[7, 13, 90, 2], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [90, 2, 6]
Generated Node #2: [90, 2, 6] from Operation: 13-7=6
Current State: 94:[90, 2, 6], Operations: ['13-7=6']
Exploring Operation: 90-2=88, Resulting Numbers: [6, 88]
Generated Node #3: [6, 88] from Operation: 90-2=88
Current State: 94:[6, 88], Operations: ['13-7=6', '90-2=88']
Exploring Operation: 6+88=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
24,
42,
84,
17
] | 78 | [
"24-17=7",
"42/7=6",
"84-6=78"
] | Current State: 78:[24, 42, 84, 17], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [42, 84, 7]
Generated Node #2: [42, 84, 7] from Operation: 24-17=7
Current State: 78:[42, 84, 7], Operations: ['24-17=7']
Exploring Operation: 42/7=6, Resulting Numbers: [84, 6]
Generated Node #3: [84, 6] from Operation: 42/7=6
Current State: 78:[84, 6], Operations: ['24-17=7', '42/7=6']
Exploring Operation: 84-6=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
52,
21,
99,
76
] | 26 | [
"99-21=78",
"78-76=2",
"52/2=26"
] | Current State: 26:[52, 21, 99, 76], Operations: []
Exploring Operation: 99-21=78, Resulting Numbers: [52, 76, 78]
Generated Node #2: [52, 76, 78] from Operation: 99-21=78
Current State: 26:[52, 76, 78], Operations: ['99-21=78']
Exploring Operation: 78-76=2, Resulting Numbers: [52, 2]
Generated Node #3: [52, 2] from Operation: 78-76=2
Current State: 26:[52, 2], Operations: ['99-21=78', '78-76=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
66,
13,
32,
81
] | 16 | [
"66+13=79",
"81-79=2",
"32/2=16"
] | Current State: 16:[66, 13, 32, 81], Operations: []
Exploring Operation: 66+13=79, Resulting Numbers: [32, 81, 79]
Generated Node #2: [32, 81, 79] from Operation: 66+13=79
Current State: 16:[32, 81, 79], Operations: ['66+13=79']
Exploring Operation: 81-79=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 81-79=2
Current State: 16:[32, 2], Operations: ['66+13=79', '81-79=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
77,
35,
76,
38
] | 21 | [
"77-35=42",
"76/38=2",
"42/2=21"
] | Current State: 21:[77, 35, 76, 38], Operations: []
Exploring Operation: 77-35=42, Resulting Numbers: [76, 38, 42]
Generated Node #2: [76, 38, 42] from Operation: 77-35=42
Current State: 21:[76, 38, 42], Operations: ['77-35=42']
Exploring Operation: 76/38=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 76/38=2
Current State: 21:[42, 2], Operations: ['77-35=42', '76/38=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
38,
43,
27,
37
] | 15 | [
"43-38=5",
"37-27=10",
"5+10=15"
] | Current State: 15:[38, 43, 27, 37], Operations: []
Exploring Operation: 43-38=5, Resulting Numbers: [27, 37, 5]
Generated Node #2: [27, 37, 5] from Operation: 43-38=5
Current State: 15:[27, 37, 5], Operations: ['43-38=5']
Exploring Operation: 37-27=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 37-27=10
Current State: 15:[5, 10], Operations: ['43-38=5', '37-27=10']
Exploring Operation: 5+10=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
21,
89,
27,
24
] | 91 | [
"21+27=48",
"48/24=2",
"89+2=91"
] | Current State: 91:[21, 89, 27, 24], Operations: []
Exploring Operation: 21+27=48, Resulting Numbers: [89, 24, 48]
Generated Node #2: [89, 24, 48] from Operation: 21+27=48
Current State: 91:[89, 24, 48], Operations: ['21+27=48']
Exploring Operation: 48/24=2, Resulting Numbers: [89, 2]
Generated Node #3: [89, 2] from Operation: 48/24=2
Current State: 91:[89, 2], Operations: ['21+27=48', '48/24=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
54,
7,
16
] | 72 | [
"2+16=18",
"7*18=126",
"126-54=72"
] | Current State: 72:[2, 54, 7, 16], Operations: []
Exploring Operation: 2+16=18, Resulting Numbers: [54, 7, 18]
Generated Node #2: [54, 7, 18] from Operation: 2+16=18
Current State: 72:[54, 7, 18], Operations: ['2+16=18']
Exploring Operation: 7*18=126, Resulting Numbers: [54, 126]
Generated Node #3: [54, 126] from Operation: 7*18=126
Current State: 72:[54, 126], Operations: ['2+16=18', '7*18=126']
Exploring Operation: 126-54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
38,
38,
32,
14
] | 33 | [
"38+32=70",
"70/14=5",
"38-5=33"
] | Current State: 33:[38, 38, 32, 14], Operations: []
Exploring Operation: 38+32=70, Resulting Numbers: [14, 70]
Generated Node #2: [14, 70] from Operation: 38+32=70
Current State: 33:[14, 70], Operations: ['38+32=70']
Exploring Operation: 70/14=5, Resulting Numbers: [5]
5,33 equal: Goal Reached
Exploring Operation: 38-5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
45,
14,
37,
45
] | 51 | [
"45+14=59",
"45-37=8",
"59-8=51"
] | Current State: 51:[45, 14, 37, 45], Operations: []
Exploring Operation: 45+14=59, Resulting Numbers: [37, 59]
Generated Node #2: [37, 59] from Operation: 45+14=59
Current State: 51:[37, 59], Operations: ['45+14=59']
Exploring Operation: 45-37=8, Resulting Numbers: [59, 8]
Generated Node #3: [59, 8] from Operation: 45-37=8
Current State: 51:[59, 8], Operations: ['45+14=59', '45-37=8']
Exploring Operation: 59-8=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
56,
69,
20,
48
] | 97 | [
"56+69=125",
"48-20=28",
"125-28=97"
] | Current State: 97:[56, 69, 20, 48], Operations: []
Exploring Operation: 56+69=125, Resulting Numbers: [20, 48, 125]
Generated Node #2: [20, 48, 125] from Operation: 56+69=125
Current State: 97:[20, 48, 125], Operations: ['56+69=125']
Exploring Operation: 48-20=28, Resulting Numbers: [125, 28]
Generated Node #3: [125, 28] from Operation: 48-20=28
Current State: 97:[125, 28], Operations: ['56+69=125', '48-20=28']
Exploring Operation: 125-28=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
34,
1,
76,
32
] | 77 | [
"34-1=33",
"76-32=44",
"33+44=77"
] | Current State: 77:[34, 1, 76, 32], Operations: []
Exploring Operation: 34-1=33, Resulting Numbers: [76, 32, 33]
Generated Node #2: [76, 32, 33] from Operation: 34-1=33
Current State: 77:[76, 32, 33], Operations: ['34-1=33']
Exploring Operation: 76-32=44, Resulting Numbers: [33, 44]
Generated Node #3: [33, 44] from Operation: 76-32=44
Current State: 77:[33, 44], Operations: ['34-1=33', '76-32=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
29,
49,
8,
12
] | 98 | [
"29+49=78",
"8+12=20",
"78+20=98"
] | Current State: 98:[29, 49, 8, 12], Operations: []
Exploring Operation: 29+49=78, Resulting Numbers: [8, 12, 78]
Generated Node #2: [8, 12, 78] from Operation: 29+49=78
Current State: 98:[8, 12, 78], Operations: ['29+49=78']
Exploring Operation: 8+12=20, Resulting Numbers: [78, 20]
Generated Node #3: [78, 20] from Operation: 8+12=20
Current State: 98:[78, 20], Operations: ['29+49=78', '8+12=20']
Exploring Operation: 78+20=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
71,
18,
19,
14
] | 86 | [
"71-18=53",
"19+14=33",
"53+33=86"
] | Current State: 86:[71, 18, 19, 14], Operations: []
Exploring Operation: 71-18=53, Resulting Numbers: [19, 14, 53]
Generated Node #2: [19, 14, 53] from Operation: 71-18=53
Current State: 86:[19, 14, 53], Operations: ['71-18=53']
Exploring Operation: 19+14=33, Resulting Numbers: [53, 33]
Generated Node #3: [53, 33] from Operation: 19+14=33
Current State: 86:[53, 33], Operations: ['71-18=53', '19+14=33']
Exploring Operation: 53+33=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
86,
26,
68,
84
] | 65 | [
"86+84=170",
"26*170=4420",
"4420/68=65"
] | Current State: 65:[86, 26, 68, 84], Operations: []
Exploring Operation: 86+84=170, Resulting Numbers: [26, 68, 170]
Generated Node #2: [26, 68, 170] from Operation: 86+84=170
Current State: 65:[26, 68, 170], Operations: ['86+84=170']
Exploring Operation: 26*170=4420, Resulting Numbers: [68, 4420]
Generated Node #3: [68, 4420] from Operation: 26*170=4420
Current State: 65:[68, 4420], Operations: ['86+84=170', '26*170=4420']
Exploring Operation: 4420/68=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
82,
87,
62,
5
] | 72 | [
"87-82=5",
"62+5=67",
"5+67=72"
] | Current State: 72:[82, 87, 62, 5], Operations: []
Exploring Operation: 87-82=5, Resulting Numbers: [62, 5, 5]
Generated Node #2: [62, 5, 5] from Operation: 87-82=5
Current State: 72:[62, 5, 5], Operations: ['87-82=5']
Exploring Operation: 62+5=67, Resulting Numbers: [67]
67,72 equal: Goal Reached
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
62,
98,
42,
28
] | 39 | [
"62*28=1736",
"1736-98=1638",
"1638/42=39"
] | Current State: 39:[62, 98, 42, 28], Operations: []
Exploring Operation: 62*28=1736, Resulting Numbers: [98, 42, 1736]
Generated Node #2: [98, 42, 1736] from Operation: 62*28=1736
Current State: 39:[98, 42, 1736], Operations: ['62*28=1736']
Exploring Operation: 1736-98=1638, Resulting Numbers: [42, 1638]
Generated Node #3: [42, 1638] from Operation: 1736-98=1638
Current State: 39:[42, 1638], Operations: ['62*28=1736', '1736-98=1638']
Exploring Operation: 1638/42=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
5,
92,
99,
63
] | 88 | [
"99-63=36",
"5*36=180",
"180-92=88"
] | Current State: 88:[5, 92, 99, 63], Operations: []
Exploring Operation: 99-63=36, Resulting Numbers: [5, 92, 36]
Generated Node #2: [5, 92, 36] from Operation: 99-63=36
Current State: 88:[5, 92, 36], Operations: ['99-63=36']
Exploring Operation: 5*36=180, Resulting Numbers: [92, 180]
Generated Node #3: [92, 180] from Operation: 5*36=180
Current State: 88:[92, 180], Operations: ['99-63=36', '5*36=180']
Exploring Operation: 180-92=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
69,
74,
35,
78
] | 48 | [
"74-69=5",
"78-35=43",
"5+43=48"
] | Current State: 48:[69, 74, 35, 78], Operations: []
Exploring Operation: 74-69=5, Resulting Numbers: [35, 78, 5]
Generated Node #2: [35, 78, 5] from Operation: 74-69=5
Current State: 48:[35, 78, 5], Operations: ['74-69=5']
Exploring Operation: 78-35=43, Resulting Numbers: [5, 43]
Generated Node #3: [5, 43] from Operation: 78-35=43
Current State: 48:[5, 43], Operations: ['74-69=5', '78-35=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
15,
23,
78,
37
] | 74 | [
"23+37=60",
"60/15=4",
"78-4=74"
] | Current State: 74:[15, 23, 78, 37], Operations: []
Exploring Operation: 23+37=60, Resulting Numbers: [15, 78, 60]
Generated Node #2: [15, 78, 60] from Operation: 23+37=60
Current State: 74:[15, 78, 60], Operations: ['23+37=60']
Exploring Operation: 60/15=4, Resulting Numbers: [78, 4]
Generated Node #3: [78, 4] from Operation: 60/15=4
Current State: 74:[78, 4], Operations: ['23+37=60', '60/15=4']
Exploring Operation: 78-4=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
89,
93,
36,
86
] | 81 | [
"89-86=3",
"36/3=12",
"93-12=81"
] | Current State: 81:[89, 93, 36, 86], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [93, 36, 3]
Generated Node #2: [93, 36, 3] from Operation: 89-86=3
Current State: 81:[93, 36, 3], Operations: ['89-86=3']
Exploring Operation: 36/3=12, Resulting Numbers: [93, 12]
Generated Node #3: [93, 12] from Operation: 36/3=12
Current State: 81:[93, 12], Operations: ['89-86=3', '36/3=12']
Exploring Operation: 93-12=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
65,
11,
11,
53
] | 53 | [
"11-11=0",
"65*0=0",
"53+0=53"
] | Current State: 53:[65, 11, 11, 53], Operations: []
Exploring Operation: 11-11=0, Resulting Numbers: [65, 53, 0]
Generated Node #2: [65, 53, 0] from Operation: 11-11=0
Current State: 53:[65, 53, 0], Operations: ['11-11=0']
Exploring Operation: 65*0=0, Resulting Numbers: [53, 0]
Generated Node #3: [53, 0] from Operation: 65*0=0
Current State: 53:[53, 0], Operations: ['11-11=0', '65*0=0']
Exploring Operation: 53+0=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
37,
35,
89,
21
] | 29 | [
"37+89=126",
"126/21=6",
"35-6=29"
] | Current State: 29:[37, 35, 89, 21], Operations: []
Exploring Operation: 37+89=126, Resulting Numbers: [35, 21, 126]
Generated Node #2: [35, 21, 126] from Operation: 37+89=126
Current State: 29:[35, 21, 126], Operations: ['37+89=126']
Exploring Operation: 126/21=6, Resulting Numbers: [35, 6]
Generated Node #3: [35, 6] from Operation: 126/21=6
Current State: 29:[35, 6], Operations: ['37+89=126', '126/21=6']
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
24,
21,
82,
2
] | 81 | [
"24-21=3",
"82+2=84",
"84-3=81"
] | Current State: 81:[24, 21, 82, 2], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [82, 2, 3]
Generated Node #2: [82, 2, 3] from Operation: 24-21=3
Current State: 81:[82, 2, 3], Operations: ['24-21=3']
Exploring Operation: 82+2=84, Resulting Numbers: [3, 84]
Generated Node #3: [3, 84] from Operation: 82+2=84
Current State: 81:[3, 84], Operations: ['24-21=3', '82+2=84']
Exploring Operation: 84-3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
22,
97,
93,
86
] | 68 | [
"97-22=75",
"93-86=7",
"75-7=68"
] | Current State: 68:[22, 97, 93, 86], Operations: []
Exploring Operation: 97-22=75, Resulting Numbers: [93, 86, 75]
Generated Node #2: [93, 86, 75] from Operation: 97-22=75
Current State: 68:[93, 86, 75], Operations: ['97-22=75']
Exploring Operation: 93-86=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 93-86=7
Current State: 68:[75, 7], Operations: ['97-22=75', '93-86=7']
Exploring Operation: 75-7=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
57,
57,
34
] | 89 | [
"54+34=88",
"57/57=1",
"88+1=89"
] | Current State: 89:[54, 57, 57, 34], Operations: []
Exploring Operation: 54+34=88, Resulting Numbers: [57, 57, 88]
Generated Node #2: [57, 57, 88] from Operation: 54+34=88
Current State: 89:[57, 57, 88], Operations: ['54+34=88']
Exploring Operation: 57/57=1, Resulting Numbers: [88, 1]
Generated Node #3: [88, 1] from Operation: 57/57=1
Current State: 89:[88, 1], Operations: ['54+34=88', '57/57=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
41,
91,
93,
38
] | 35 | [
"93-91=2",
"38*2=76",
"76-41=35"
] | Current State: 35:[41, 91, 93, 38], Operations: []
Exploring Operation: 93-91=2, Resulting Numbers: [41, 38, 2]
Generated Node #2: [41, 38, 2] from Operation: 93-91=2
Current State: 35:[41, 38, 2], Operations: ['93-91=2']
Exploring Operation: 38*2=76, Resulting Numbers: [41, 76]
Generated Node #3: [41, 76] from Operation: 38*2=76
Current State: 35:[41, 76], Operations: ['93-91=2', '38*2=76']
Exploring Operation: 76-41=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
86,
17,
92,
13
] | 36 | [
"86-17=69",
"92+13=105",
"105-69=36"
] | Current State: 36:[86, 17, 92, 13], Operations: []
Exploring Operation: 86-17=69, Resulting Numbers: [92, 13, 69]
Generated Node #2: [92, 13, 69] from Operation: 86-17=69
Current State: 36:[92, 13, 69], Operations: ['86-17=69']
Exploring Operation: 92+13=105, Resulting Numbers: [69, 105]
Generated Node #3: [69, 105] from Operation: 92+13=105
Current State: 36:[69, 105], Operations: ['86-17=69', '92+13=105']
Exploring Operation: 105-69=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
94,
50,
26,
51
] | 19 | [
"94-50=44",
"51-26=25",
"44-25=19"
] | Current State: 19:[94, 50, 26, 51], Operations: []
Exploring Operation: 94-50=44, Resulting Numbers: [26, 51, 44]
Generated Node #2: [26, 51, 44] from Operation: 94-50=44
Current State: 19:[26, 51, 44], Operations: ['94-50=44']
Exploring Operation: 51-26=25, Resulting Numbers: [44, 25]
Generated Node #3: [44, 25] from Operation: 51-26=25
Current State: 19:[44, 25], Operations: ['94-50=44', '51-26=25']
Exploring Operation: 44-25=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
2,
11,
8,
35
] | 89 | [
"2*35=70",
"11+8=19",
"70+19=89"
] | Current State: 89:[2, 11, 8, 35], Operations: []
Exploring Operation: 2*35=70, Resulting Numbers: [11, 8, 70]
Generated Node #2: [11, 8, 70] from Operation: 2*35=70
Current State: 89:[11, 8, 70], Operations: ['2*35=70']
Exploring Operation: 11+8=19, Resulting Numbers: [70, 19]
Generated Node #3: [70, 19] from Operation: 11+8=19
Current State: 89:[70, 19], Operations: ['2*35=70', '11+8=19']
Exploring Operation: 70+19=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
44,
34,
64,
40
] | 14 | [
"44-34=10",
"64-40=24",
"24-10=14"
] | Current State: 14:[44, 34, 64, 40], Operations: []
Exploring Operation: 44-34=10, Resulting Numbers: [64, 40, 10]
Generated Node #2: [64, 40, 10] from Operation: 44-34=10
Current State: 14:[64, 40, 10], Operations: ['44-34=10']
Exploring Operation: 64-40=24, Resulting Numbers: [10, 24]
Generated Node #3: [10, 24] from Operation: 64-40=24
Current State: 14:[10, 24], Operations: ['44-34=10', '64-40=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
81,
9,
32,
31
] | 54 | [
"81/9=9",
"32+31=63",
"63-9=54"
] | Current State: 54:[81, 9, 32, 31], Operations: []
Exploring Operation: 81/9=9, Resulting Numbers: [32, 31, 9]
Generated Node #2: [32, 31, 9] from Operation: 81/9=9
Current State: 54:[32, 31, 9], Operations: ['81/9=9']
Exploring Operation: 32+31=63, Resulting Numbers: [9, 63]
Generated Node #3: [9, 63] from Operation: 32+31=63
Current State: 54:[9, 63], Operations: ['81/9=9', '32+31=63']
Exploring Operation: 63-9=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
25,
29,
39,
3
] | 85 | [
"25*3=75",
"39-29=10",
"75+10=85"
] | Current State: 85:[25, 29, 39, 3], Operations: []
Exploring Operation: 25*3=75, Resulting Numbers: [29, 39, 75]
Generated Node #2: [29, 39, 75] from Operation: 25*3=75
Current State: 85:[29, 39, 75], Operations: ['25*3=75']
Exploring Operation: 39-29=10, Resulting Numbers: [75, 10]
Generated Node #3: [75, 10] from Operation: 39-29=10
Current State: 85:[75, 10], Operations: ['25*3=75', '39-29=10']
Exploring Operation: 75+10=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
78,
11,
99,
54
] | 64 | [
"78+11=89",
"99+54=153",
"153-89=64"
] | Current State: 64:[78, 11, 99, 54], Operations: []
Exploring Operation: 78+11=89, Resulting Numbers: [99, 54, 89]
Generated Node #2: [99, 54, 89] from Operation: 78+11=89
Current State: 64:[99, 54, 89], Operations: ['78+11=89']
Exploring Operation: 99+54=153, Resulting Numbers: [89, 153]
Generated Node #3: [89, 153] from Operation: 99+54=153
Current State: 64:[89, 153], Operations: ['78+11=89', '99+54=153']
Exploring Operation: 153-89=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
67,
89,
2,
61
] | 78 | [
"89-67=22",
"61-22=39",
"2*39=78"
] | Current State: 78:[67, 89, 2, 61], Operations: []
Exploring Operation: 89-67=22, Resulting Numbers: [2, 61, 22]
Generated Node #2: [2, 61, 22] from Operation: 89-67=22
Current State: 78:[2, 61, 22], Operations: ['89-67=22']
Exploring Operation: 61-22=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 61-22=39
Current State: 78:[2, 39], Operations: ['89-67=22', '61-22=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
32,
48,
69,
8
] | 88 | [
"32+48=80",
"80-69=11",
"8*11=88"
] | Current State: 88:[32, 48, 69, 8], Operations: []
Exploring Operation: 32+48=80, Resulting Numbers: [69, 8, 80]
Generated Node #2: [69, 8, 80] from Operation: 32+48=80
Current State: 88:[69, 8, 80], Operations: ['32+48=80']
Exploring Operation: 80-69=11, Resulting Numbers: [8, 11]
Generated Node #3: [8, 11] from Operation: 80-69=11
Current State: 88:[8, 11], Operations: ['32+48=80', '80-69=11']
Exploring Operation: 8*11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
73,
48,
60,
2
] | 83 | [
"73-48=25",
"60-2=58",
"25+58=83"
] | Current State: 83:[73, 48, 60, 2], Operations: []
Exploring Operation: 73-48=25, Resulting Numbers: [60, 2, 25]
Generated Node #2: [60, 2, 25] from Operation: 73-48=25
Current State: 83:[60, 2, 25], Operations: ['73-48=25']
Exploring Operation: 60-2=58, Resulting Numbers: [25, 58]
Generated Node #3: [25, 58] from Operation: 60-2=58
Current State: 83:[25, 58], Operations: ['73-48=25', '60-2=58']
Exploring Operation: 25+58=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
28,
86,
28,
4
] | 26 | [
"86-28=58",
"28+4=32",
"58-32=26"
] | Current State: 26:[28, 86, 28, 4], Operations: []
Exploring Operation: 86-28=58, Resulting Numbers: [4, 58]
Generated Node #2: [4, 58] from Operation: 86-28=58
Current State: 26:[4, 58], Operations: ['86-28=58']
Exploring Operation: 28+4=32, Resulting Numbers: [58, 32]
Generated Node #3: [58, 32] from Operation: 28+4=32
Current State: 26:[58, 32], Operations: ['86-28=58', '28+4=32']
Exploring Operation: 58-32=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
48,
66,
47,
81
] | 45 | [
"81-48=33",
"66/33=2",
"47-2=45"
] | Current State: 45:[48, 66, 47, 81], Operations: []
Exploring Operation: 81-48=33, Resulting Numbers: [66, 47, 33]
Generated Node #2: [66, 47, 33] from Operation: 81-48=33
Current State: 45:[66, 47, 33], Operations: ['81-48=33']
Exploring Operation: 66/33=2, Resulting Numbers: [47, 2]
Generated Node #3: [47, 2] from Operation: 66/33=2
Current State: 45:[47, 2], Operations: ['81-48=33', '66/33=2']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
58,
75,
3,
6
] | 92 | [
"75/3=25",
"6*25=150",
"150-58=92"
] | Current State: 92:[58, 75, 3, 6], Operations: []
Exploring Operation: 75/3=25, Resulting Numbers: [58, 6, 25]
Generated Node #2: [58, 6, 25] from Operation: 75/3=25
Current State: 92:[58, 6, 25], Operations: ['75/3=25']
Exploring Operation: 6*25=150, Resulting Numbers: [58, 150]
Generated Node #3: [58, 150] from Operation: 6*25=150
Current State: 92:[58, 150], Operations: ['75/3=25', '6*25=150']
Exploring Operation: 150-58=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
18,
92,
34,
55
] | 48 | [
"92+34=126",
"126/18=7",
"55-7=48"
] | Current State: 48:[18, 92, 34, 55], Operations: []
Exploring Operation: 92+34=126, Resulting Numbers: [18, 55, 126]
Generated Node #2: [18, 55, 126] from Operation: 92+34=126
Current State: 48:[18, 55, 126], Operations: ['92+34=126']
Exploring Operation: 126/18=7, Resulting Numbers: [55, 7]
Generated Node #3: [55, 7] from Operation: 126/18=7
Current State: 48:[55, 7], Operations: ['92+34=126', '126/18=7']
Exploring Operation: 55-7=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
36,
4,
3,
72
] | 16 | [
"36+4=40",
"72/3=24",
"40-24=16"
] | Current State: 16:[36, 4, 3, 72], Operations: []
Exploring Operation: 36+4=40, Resulting Numbers: [3, 72, 40]
Generated Node #2: [3, 72, 40] from Operation: 36+4=40
Current State: 16:[3, 72, 40], Operations: ['36+4=40']
Exploring Operation: 72/3=24, Resulting Numbers: [40, 24]
Generated Node #3: [40, 24] from Operation: 72/3=24
Current State: 16:[40, 24], Operations: ['36+4=40', '72/3=24']
Exploring Operation: 40-24=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
98,
69,
17,
18
] | 95 | [
"69-18=51",
"51/17=3",
"98-3=95"
] | Current State: 95:[98, 69, 17, 18], Operations: []
Exploring Operation: 69-18=51, Resulting Numbers: [98, 17, 51]
Generated Node #2: [98, 17, 51] from Operation: 69-18=51
Current State: 95:[98, 17, 51], Operations: ['69-18=51']
Exploring Operation: 51/17=3, Resulting Numbers: [98, 3]
Generated Node #3: [98, 3] from Operation: 51/17=3
Current State: 95:[98, 3], Operations: ['69-18=51', '51/17=3']
Exploring Operation: 98-3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
25,
44,
20,
24
] | 74 | [
"25*24=600",
"600/20=30",
"44+30=74"
] | Current State: 74:[25, 44, 20, 24], Operations: []
Exploring Operation: 25*24=600, Resulting Numbers: [44, 20, 600]
Generated Node #2: [44, 20, 600] from Operation: 25*24=600
Current State: 74:[44, 20, 600], Operations: ['25*24=600']
Exploring Operation: 600/20=30, Resulting Numbers: [44, 30]
Generated Node #3: [44, 30] from Operation: 600/20=30
Current State: 74:[44, 30], Operations: ['25*24=600', '600/20=30']
Exploring Operation: 44+30=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
51,
53,
84,
92
] | 96 | [
"51+53=104",
"92-84=8",
"104-8=96"
] | Current State: 96:[51, 53, 84, 92], Operations: []
Exploring Operation: 51+53=104, Resulting Numbers: [84, 92, 104]
Generated Node #2: [84, 92, 104] from Operation: 51+53=104
Current State: 96:[84, 92, 104], Operations: ['51+53=104']
Exploring Operation: 92-84=8, Resulting Numbers: [104, 8]
Generated Node #3: [104, 8] from Operation: 92-84=8
Current State: 96:[104, 8], Operations: ['51+53=104', '92-84=8']
Exploring Operation: 104-8=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
72,
89,
23,
80
] | 58 | [
"72+89=161",
"23+80=103",
"161-103=58"
] | Current State: 58:[72, 89, 23, 80], Operations: []
Exploring Operation: 72+89=161, Resulting Numbers: [23, 80, 161]
Generated Node #2: [23, 80, 161] from Operation: 72+89=161
Current State: 58:[23, 80, 161], Operations: ['72+89=161']
Exploring Operation: 23+80=103, Resulting Numbers: [161, 103]
Generated Node #3: [161, 103] from Operation: 23+80=103
Current State: 58:[161, 103], Operations: ['72+89=161', '23+80=103']
Exploring Operation: 161-103=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
44,
89,
65,
24
] | 45 | [
"89-65=24",
"24/24=1",
"44+1=45"
] | Current State: 45:[44, 89, 65, 24], Operations: []
Exploring Operation: 89-65=24, Resulting Numbers: [44, 24, 24]
Generated Node #2: [44, 24, 24] from Operation: 89-65=24
Current State: 45:[44, 24, 24], Operations: ['89-65=24']
Exploring Operation: 24/24=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 24/24=1
Current State: 45:[44, 1], Operations: ['89-65=24', '24/24=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
65,
20,
4
] | 88 | [
"72+20=92",
"92/4=23",
"65+23=88"
] | Current State: 88:[72, 65, 20, 4], Operations: []
Exploring Operation: 72+20=92, Resulting Numbers: [65, 4, 92]
Generated Node #2: [65, 4, 92] from Operation: 72+20=92
Current State: 88:[65, 4, 92], Operations: ['72+20=92']
Exploring Operation: 92/4=23, Resulting Numbers: [65, 23]
Generated Node #3: [65, 23] from Operation: 92/4=23
Current State: 88:[65, 23], Operations: ['72+20=92', '92/4=23']
Exploring Operation: 65+23=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
53,
98,
52,
15
] | 43 | [
"98+52=150",
"150/15=10",
"53-10=43"
] | Current State: 43:[53, 98, 52, 15], Operations: []
Exploring Operation: 98+52=150, Resulting Numbers: [53, 15, 150]
Generated Node #2: [53, 15, 150] from Operation: 98+52=150
Current State: 43:[53, 15, 150], Operations: ['98+52=150']
Exploring Operation: 150/15=10, Resulting Numbers: [53, 10]
Generated Node #3: [53, 10] from Operation: 150/15=10
Current State: 43:[53, 10], Operations: ['98+52=150', '150/15=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
86,
43,
83,
1
] | 81 | [
"86/43=2",
"83*1=83",
"83-2=81"
] | Current State: 81:[86, 43, 83, 1], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [83, 1, 2]
Generated Node #2: [83, 1, 2] from Operation: 86/43=2
Current State: 81:[83, 1, 2], Operations: ['86/43=2']
Exploring Operation: 83*1=83, Resulting Numbers: [2, 83]
Generated Node #3: [2, 83] from Operation: 83*1=83
Current State: 81:[2, 83], Operations: ['86/43=2', '83*1=83']
Exploring Operation: 83-2=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
7,
69,
77,
30
] | 88 | [
"77/7=11",
"69+30=99",
"99-11=88"
] | Current State: 88:[7, 69, 77, 30], Operations: []
Exploring Operation: 77/7=11, Resulting Numbers: [69, 30, 11]
Generated Node #2: [69, 30, 11] from Operation: 77/7=11
Current State: 88:[69, 30, 11], Operations: ['77/7=11']
Exploring Operation: 69+30=99, Resulting Numbers: [11, 99]
Generated Node #3: [11, 99] from Operation: 69+30=99
Current State: 88:[11, 99], Operations: ['77/7=11', '69+30=99']
Exploring Operation: 99-11=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
4,
15,
42,
22
] | 95 | [
"42-22=20",
"4*20=80",
"15+80=95"
] | Current State: 95:[4, 15, 42, 22], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [4, 15, 20]
Generated Node #2: [4, 15, 20] from Operation: 42-22=20
Current State: 95:[4, 15, 20], Operations: ['42-22=20']
Exploring Operation: 4*20=80, Resulting Numbers: [15, 80]
Generated Node #3: [15, 80] from Operation: 4*20=80
Current State: 95:[15, 80], Operations: ['42-22=20', '4*20=80']
Exploring Operation: 15+80=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
95,
69,
32,
65
] | 64 | [
"95+65=160",
"160/32=5",
"69-5=64"
] | Current State: 64:[95, 69, 32, 65], Operations: []
Exploring Operation: 95+65=160, Resulting Numbers: [69, 32, 160]
Generated Node #2: [69, 32, 160] from Operation: 95+65=160
Current State: 64:[69, 32, 160], Operations: ['95+65=160']
Exploring Operation: 160/32=5, Resulting Numbers: [69, 5]
Generated Node #3: [69, 5] from Operation: 160/32=5
Current State: 64:[69, 5], Operations: ['95+65=160', '160/32=5']
Exploring Operation: 69-5=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
12,
90,
48
] | 22 | [
"90-2=88",
"48/12=4",
"88/4=22"
] | Current State: 22:[2, 12, 90, 48], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [12, 48, 88]
Generated Node #2: [12, 48, 88] from Operation: 90-2=88
Current State: 22:[12, 48, 88], Operations: ['90-2=88']
Exploring Operation: 48/12=4, Resulting Numbers: [88, 4]
Generated Node #3: [88, 4] from Operation: 48/12=4
Current State: 22:[88, 4], Operations: ['90-2=88', '48/12=4']
Exploring Operation: 88/4=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
73,
15,
6,
20
] | 65 | [
"6*20=120",
"120/15=8",
"73-8=65"
] | Current State: 65:[73, 15, 6, 20], Operations: []
Exploring Operation: 6*20=120, Resulting Numbers: [73, 15, 120]
Generated Node #2: [73, 15, 120] from Operation: 6*20=120
Current State: 65:[73, 15, 120], Operations: ['6*20=120']
Exploring Operation: 120/15=8, Resulting Numbers: [73, 8]
Generated Node #3: [73, 8] from Operation: 120/15=8
Current State: 65:[73, 8], Operations: ['6*20=120', '120/15=8']
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
17,
32,
36,
35
] | 30 | [
"35-17=18",
"36/18=2",
"32-2=30"
] | Current State: 30:[17, 32, 36, 35], Operations: []
Exploring Operation: 35-17=18, Resulting Numbers: [32, 36, 18]
Generated Node #2: [32, 36, 18] from Operation: 35-17=18
Current State: 30:[32, 36, 18], Operations: ['35-17=18']
Exploring Operation: 36/18=2, Resulting Numbers: [32, 2]
Generated Node #3: [32, 2] from Operation: 36/18=2
Current State: 30:[32, 2], Operations: ['35-17=18', '36/18=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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