nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
73,
66,
59,
7
] | 24 | [
"66-59=7",
"7*7=49",
"73-49=24"
] | Current State: 24:[73, 66, 59, 7], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [73, 7, 7]
Generated Node #2: [73, 7, 7] from Operation: 66-59=7
Current State: 24:[73, 7, 7], Operations: ['66-59=7']
Exploring Operation: 7*7=49, Resulting Numbers: [73, 49]
Generated Node #3: [73, 49] from Operation: 7*7=49
Current State: 24:[73, 49], Operations: ['66-59=7', '7*7=49']
Exploring Operation: 73-49=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
50,
68,
58,
66
] | 79 | [
"68-66=2",
"58/2=29",
"50+29=79"
] | Current State: 79:[50, 68, 58, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [50, 58, 2]
Generated Node #2: [50, 58, 2] from Operation: 68-66=2
Current State: 79:[50, 58, 2], Operations: ['68-66=2']
Exploring Operation: 58/2=29, Resulting Numbers: [50, 29]
Generated Node #3: [50, 29] from Operation: 58/2=29
Current State: 79:[50, 29], Operations: ['68-66=2', '58/2=29']
Exploring Operation: 50+29=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
76,
66,
12,
46
] | 23 | [
"76-66=10",
"12-10=2",
"46/2=23"
] | Current State: 23:[76, 66, 12, 46], Operations: []
Exploring Operation: 76-66=10, Resulting Numbers: [12, 46, 10]
Generated Node #2: [12, 46, 10] from Operation: 76-66=10
Current State: 23:[12, 46, 10], Operations: ['76-66=10']
Exploring Operation: 12-10=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 12-10=2
Current State: 23:[46, 2], Operations: ['76-66=10', '12-10=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
5,
62,
48,
73
] | 82 | [
"62-5=57",
"73-48=25",
"57+25=82"
] | Current State: 82:[5, 62, 48, 73], Operations: []
Exploring Operation: 62-5=57, Resulting Numbers: [48, 73, 57]
Generated Node #2: [48, 73, 57] from Operation: 62-5=57
Current State: 82:[48, 73, 57], Operations: ['62-5=57']
Exploring Operation: 73-48=25, Resulting Numbers: [57, 25]
Generated Node #3: [57, 25] from Operation: 73-48=25
Current State: 82:[57, 25], Operations: ['62-5=57', '73-48=25']
Exploring Operation: 57+25=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
63,
99,
19,
27
] | 48 | [
"63*19=1197",
"99+1197=1296",
"1296/27=48"
] | Current State: 48:[63, 99, 19, 27], Operations: []
Exploring Operation: 63*19=1197, Resulting Numbers: [99, 27, 1197]
Generated Node #2: [99, 27, 1197] from Operation: 63*19=1197
Current State: 48:[99, 27, 1197], Operations: ['63*19=1197']
Exploring Operation: 99+1197=1296, Resulting Numbers: [27, 1296]
Generated Node #3: [27, 1296] from Operation: 99+1197=1296
Current State: 48:[27, 1296], Operations: ['63*19=1197', '99+1197=1296']
Exploring Operation: 1296/27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
40,
61,
28,
84
] | 54 | [
"40-28=12",
"84/12=7",
"61-7=54"
] | Current State: 54:[40, 61, 28, 84], Operations: []
Exploring Operation: 40-28=12, Resulting Numbers: [61, 84, 12]
Generated Node #2: [61, 84, 12] from Operation: 40-28=12
Current State: 54:[61, 84, 12], Operations: ['40-28=12']
Exploring Operation: 84/12=7, Resulting Numbers: [61, 7]
Generated Node #3: [61, 7] from Operation: 84/12=7
Current State: 54:[61, 7], Operations: ['40-28=12', '84/12=7']
Exploring Operation: 61-7=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
44,
11,
8,
51
] | 69 | [
"51-44=7",
"11*7=77",
"77-8=69"
] | Current State: 69:[44, 11, 8, 51], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [11, 8, 7]
Generated Node #2: [11, 8, 7] from Operation: 51-44=7
Current State: 69:[11, 8, 7], Operations: ['51-44=7']
Exploring Operation: 11*7=77, Resulting Numbers: [8, 77]
Generated Node #3: [8, 77] from Operation: 11*7=77
Current State: 69:[8, 77], Operations: ['51-44=7', '11*7=77']
Exploring Operation: 77-8=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
81,
91,
44,
85
] | 31 | [
"91-81=10",
"85-44=41",
"41-10=31"
] | Current State: 31:[81, 91, 44, 85], Operations: []
Exploring Operation: 91-81=10, Resulting Numbers: [44, 85, 10]
Generated Node #2: [44, 85, 10] from Operation: 91-81=10
Current State: 31:[44, 85, 10], Operations: ['91-81=10']
Exploring Operation: 85-44=41, Resulting Numbers: [10, 41]
Generated Node #3: [10, 41] from Operation: 85-44=41
Current State: 31:[10, 41], Operations: ['91-81=10', '85-44=41']
Exploring Operation: 41-10=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
19,
98,
51,
14
] | 39 | [
"51-19=32",
"98/14=7",
"32+7=39"
] | Current State: 39:[19, 98, 51, 14], Operations: []
Exploring Operation: 51-19=32, Resulting Numbers: [98, 14, 32]
Generated Node #2: [98, 14, 32] from Operation: 51-19=32
Current State: 39:[98, 14, 32], Operations: ['51-19=32']
Exploring Operation: 98/14=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 98/14=7
Current State: 39:[32, 7], Operations: ['51-19=32', '98/14=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
31,
11,
24,
85
] | 17 | [
"31+24=55",
"11*85=935",
"935/55=17"
] | Current State: 17:[31, 11, 24, 85], Operations: []
Exploring Operation: 31+24=55, Resulting Numbers: [11, 85, 55]
Generated Node #2: [11, 85, 55] from Operation: 31+24=55
Current State: 17:[11, 85, 55], Operations: ['31+24=55']
Exploring Operation: 11*85=935, Resulting Numbers: [55, 935]
Generated Node #3: [55, 935] from Operation: 11*85=935
Current State: 17:[55, 935], Operations: ['31+24=55', '11*85=935']
Exploring Operation: 935/55=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
37,
59,
2,
28
] | 82 | [
"37+59=96",
"28/2=14",
"96-14=82"
] | Current State: 82:[37, 59, 2, 28], Operations: []
Exploring Operation: 37+59=96, Resulting Numbers: [2, 28, 96]
Generated Node #2: [2, 28, 96] from Operation: 37+59=96
Current State: 82:[2, 28, 96], Operations: ['37+59=96']
Exploring Operation: 28/2=14, Resulting Numbers: [96, 14]
Generated Node #3: [96, 14] from Operation: 28/2=14
Current State: 82:[96, 14], Operations: ['37+59=96', '28/2=14']
Exploring Operation: 96-14=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
13,
12,
68,
16
] | 72 | [
"13*12=156",
"68+16=84",
"156-84=72"
] | Current State: 72:[13, 12, 68, 16], Operations: []
Exploring Operation: 13*12=156, Resulting Numbers: [68, 16, 156]
Generated Node #2: [68, 16, 156] from Operation: 13*12=156
Current State: 72:[68, 16, 156], Operations: ['13*12=156']
Exploring Operation: 68+16=84, Resulting Numbers: [156, 84]
Generated Node #3: [156, 84] from Operation: 68+16=84
Current State: 72:[156, 84], Operations: ['13*12=156', '68+16=84']
Exploring Operation: 156-84=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
33,
40,
15,
62
] | 26 | [
"33+40=73",
"62-15=47",
"73-47=26"
] | Current State: 26:[33, 40, 15, 62], Operations: []
Exploring Operation: 33+40=73, Resulting Numbers: [15, 62, 73]
Generated Node #2: [15, 62, 73] from Operation: 33+40=73
Current State: 26:[15, 62, 73], Operations: ['33+40=73']
Exploring Operation: 62-15=47, Resulting Numbers: [73, 47]
Generated Node #3: [73, 47] from Operation: 62-15=47
Current State: 26:[73, 47], Operations: ['33+40=73', '62-15=47']
Exploring Operation: 73-47=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
74,
38,
88,
2
] | 100 | [
"74+38=112",
"88+112=200",
"200/2=100"
] | Current State: 100:[74, 38, 88, 2], Operations: []
Exploring Operation: 74+38=112, Resulting Numbers: [88, 2, 112]
Generated Node #2: [88, 2, 112] from Operation: 74+38=112
Current State: 100:[88, 2, 112], Operations: ['74+38=112']
Exploring Operation: 88+112=200, Resulting Numbers: [2, 200]
Generated Node #3: [2, 200] from Operation: 88+112=200
Current State: 100:[2, 200], Operations: ['74+38=112', '88+112=200']
Exploring Operation: 200/2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
66,
4,
17,
31
] | 41 | [
"66+17=83",
"4*31=124",
"124-83=41"
] | Current State: 41:[66, 4, 17, 31], Operations: []
Exploring Operation: 66+17=83, Resulting Numbers: [4, 31, 83]
Generated Node #2: [4, 31, 83] from Operation: 66+17=83
Current State: 41:[4, 31, 83], Operations: ['66+17=83']
Exploring Operation: 4*31=124, Resulting Numbers: [83, 124]
Generated Node #3: [83, 124] from Operation: 4*31=124
Current State: 41:[83, 124], Operations: ['66+17=83', '4*31=124']
Exploring Operation: 124-83=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
36,
8,
61,
68
] | 37 | [
"36+8=44",
"68-61=7",
"44-7=37"
] | Current State: 37:[36, 8, 61, 68], Operations: []
Exploring Operation: 36+8=44, Resulting Numbers: [61, 68, 44]
Generated Node #2: [61, 68, 44] from Operation: 36+8=44
Current State: 37:[61, 68, 44], Operations: ['36+8=44']
Exploring Operation: 68-61=7, Resulting Numbers: [44, 7]
Generated Node #3: [44, 7] from Operation: 68-61=7
Current State: 37:[44, 7], Operations: ['36+8=44', '68-61=7']
Exploring Operation: 44-7=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
4,
11,
40,
84
] | 59 | [
"4+11=15",
"84-40=44",
"15+44=59"
] | Current State: 59:[4, 11, 40, 84], Operations: []
Exploring Operation: 4+11=15, Resulting Numbers: [40, 84, 15]
Generated Node #2: [40, 84, 15] from Operation: 4+11=15
Current State: 59:[40, 84, 15], Operations: ['4+11=15']
Exploring Operation: 84-40=44, Resulting Numbers: [15, 44]
Generated Node #3: [15, 44] from Operation: 84-40=44
Current State: 59:[15, 44], Operations: ['4+11=15', '84-40=44']
Exploring Operation: 15+44=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
28,
15,
36,
40
] | 52 | [
"28-15=13",
"40-36=4",
"13*4=52"
] | Current State: 52:[28, 15, 36, 40], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [36, 40, 13]
Generated Node #2: [36, 40, 13] from Operation: 28-15=13
Current State: 52:[36, 40, 13], Operations: ['28-15=13']
Exploring Operation: 40-36=4, Resulting Numbers: [13, 4]
Generated Node #3: [13, 4] from Operation: 40-36=4
Current State: 52:[13, 4], Operations: ['28-15=13', '40-36=4']
Exploring Operation: 13*4=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
6,
12,
15,
90
] | 73 | [
"12/6=2",
"90-15=75",
"75-2=73"
] | Current State: 73:[6, 12, 15, 90], Operations: []
Exploring Operation: 12/6=2, Resulting Numbers: [15, 90, 2]
Generated Node #2: [15, 90, 2] from Operation: 12/6=2
Current State: 73:[15, 90, 2], Operations: ['12/6=2']
Exploring Operation: 90-15=75, Resulting Numbers: [2, 75]
Generated Node #3: [2, 75] from Operation: 90-15=75
Current State: 73:[2, 75], Operations: ['12/6=2', '90-15=75']
Exploring Operation: 75-2=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
40,
34,
36,
23
] | 17 | [
"40-34=6",
"36/6=6",
"23-6=17"
] | Current State: 17:[40, 34, 36, 23], Operations: []
Exploring Operation: 40-34=6, Resulting Numbers: [36, 23, 6]
Generated Node #2: [36, 23, 6] from Operation: 40-34=6
Current State: 17:[36, 23, 6], Operations: ['40-34=6']
Exploring Operation: 36/6=6, Resulting Numbers: [23, 6]
Generated Node #3: [23, 6] from Operation: 36/6=6
Current State: 17:[23, 6], Operations: ['40-34=6', '36/6=6']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
15,
35,
72,
63
] | 99 | [
"15*63=945",
"945/35=27",
"72+27=99"
] | Current State: 99:[15, 35, 72, 63], Operations: []
Exploring Operation: 15*63=945, Resulting Numbers: [35, 72, 945]
Generated Node #2: [35, 72, 945] from Operation: 15*63=945
Current State: 99:[35, 72, 945], Operations: ['15*63=945']
Exploring Operation: 945/35=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 945/35=27
Current State: 99:[72, 27], Operations: ['15*63=945', '945/35=27']
Exploring Operation: 72+27=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
97,
27,
84,
71
] | 85 | [
"97-27=70",
"84+71=155",
"155-70=85"
] | Current State: 85:[97, 27, 84, 71], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [84, 71, 70]
Generated Node #2: [84, 71, 70] from Operation: 97-27=70
Current State: 85:[84, 71, 70], Operations: ['97-27=70']
Exploring Operation: 84+71=155, Resulting Numbers: [70, 155]
Generated Node #3: [70, 155] from Operation: 84+71=155
Current State: 85:[70, 155], Operations: ['97-27=70', '84+71=155']
Exploring Operation: 155-70=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
88,
76,
48,
6
] | 87 | [
"88*6=528",
"528/48=11",
"76+11=87"
] | Current State: 87:[88, 76, 48, 6], Operations: []
Exploring Operation: 88*6=528, Resulting Numbers: [76, 48, 528]
Generated Node #2: [76, 48, 528] from Operation: 88*6=528
Current State: 87:[76, 48, 528], Operations: ['88*6=528']
Exploring Operation: 528/48=11, Resulting Numbers: [76, 11]
Generated Node #3: [76, 11] from Operation: 528/48=11
Current State: 87:[76, 11], Operations: ['88*6=528', '528/48=11']
Exploring Operation: 76+11=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
13,
76,
18,
73
] | 93 | [
"13+18=31",
"76-73=3",
"31*3=93"
] | Current State: 93:[13, 76, 18, 73], Operations: []
Exploring Operation: 13+18=31, Resulting Numbers: [76, 73, 31]
Generated Node #2: [76, 73, 31] from Operation: 13+18=31
Current State: 93:[76, 73, 31], Operations: ['13+18=31']
Exploring Operation: 76-73=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 76-73=3
Current State: 93:[31, 3], Operations: ['13+18=31', '76-73=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
31,
84,
14,
53
] | 13 | [
"84-31=53",
"53/53=1",
"14-1=13"
] | Current State: 13:[31, 84, 14, 53], Operations: []
Exploring Operation: 84-31=53, Resulting Numbers: [14, 53, 53]
Generated Node #2: [14, 53, 53] from Operation: 84-31=53
Current State: 13:[14, 53, 53], Operations: ['84-31=53']
Exploring Operation: 53/53=1, Resulting Numbers: [14, 1]
Generated Node #3: [14, 1] from Operation: 53/53=1
Current State: 13:[14, 1], Operations: ['84-31=53', '53/53=1']
Exploring Operation: 14-1=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
85,
84,
1,
14
] | 15 | [
"85-84=1",
"1+14=15",
"1*15=15"
] | Current State: 15:[85, 84, 1, 14], Operations: []
Exploring Operation: 85-84=1, Resulting Numbers: [1, 14, 1]
Generated Node #2: [1, 14, 1] from Operation: 85-84=1
Current State: 15:[1, 14, 1], Operations: ['85-84=1']
Exploring Operation: 1+14=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Exploring Operation: 1*15=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
90,
36,
11,
15
] | 66 | [
"90/15=6",
"36*11=396",
"396/6=66"
] | Current State: 66:[90, 36, 11, 15], Operations: []
Exploring Operation: 90/15=6, Resulting Numbers: [36, 11, 6]
Generated Node #2: [36, 11, 6] from Operation: 90/15=6
Current State: 66:[36, 11, 6], Operations: ['90/15=6']
Exploring Operation: 36*11=396, Resulting Numbers: [6, 396]
Generated Node #3: [6, 396] from Operation: 36*11=396
Current State: 66:[6, 396], Operations: ['90/15=6', '36*11=396']
Exploring Operation: 396/6=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
25,
33,
1,
58
] | 65 | [
"33-25=8",
"58-1=57",
"8+57=65"
] | Current State: 65:[25, 33, 1, 58], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [1, 58, 8]
Generated Node #2: [1, 58, 8] from Operation: 33-25=8
Current State: 65:[1, 58, 8], Operations: ['33-25=8']
Exploring Operation: 58-1=57, Resulting Numbers: [8, 57]
Generated Node #3: [8, 57] from Operation: 58-1=57
Current State: 65:[8, 57], Operations: ['33-25=8', '58-1=57']
Exploring Operation: 8+57=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
64,
59,
12,
18
] | 82 | [
"64+59=123",
"12*123=1476",
"1476/18=82"
] | Current State: 82:[64, 59, 12, 18], Operations: []
Exploring Operation: 64+59=123, Resulting Numbers: [12, 18, 123]
Generated Node #2: [12, 18, 123] from Operation: 64+59=123
Current State: 82:[12, 18, 123], Operations: ['64+59=123']
Exploring Operation: 12*123=1476, Resulting Numbers: [18, 1476]
Generated Node #3: [18, 1476] from Operation: 12*123=1476
Current State: 82:[18, 1476], Operations: ['64+59=123', '12*123=1476']
Exploring Operation: 1476/18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
82,
47,
93,
50
] | 78 | [
"82-47=35",
"93-50=43",
"35+43=78"
] | Current State: 78:[82, 47, 93, 50], Operations: []
Exploring Operation: 82-47=35, Resulting Numbers: [93, 50, 35]
Generated Node #2: [93, 50, 35] from Operation: 82-47=35
Current State: 78:[93, 50, 35], Operations: ['82-47=35']
Exploring Operation: 93-50=43, Resulting Numbers: [35, 43]
Generated Node #3: [35, 43] from Operation: 93-50=43
Current State: 78:[35, 43], Operations: ['82-47=35', '93-50=43']
Exploring Operation: 35+43=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
37,
70,
24,
34
] | 62 | [
"37-34=3",
"24/3=8",
"70-8=62"
] | Current State: 62:[37, 70, 24, 34], Operations: []
Exploring Operation: 37-34=3, Resulting Numbers: [70, 24, 3]
Generated Node #2: [70, 24, 3] from Operation: 37-34=3
Current State: 62:[70, 24, 3], Operations: ['37-34=3']
Exploring Operation: 24/3=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 24/3=8
Current State: 62:[70, 8], Operations: ['37-34=3', '24/3=8']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
78,
25,
60,
31
] | 82 | [
"78-25=53",
"60-31=29",
"53+29=82"
] | Current State: 82:[78, 25, 60, 31], Operations: []
Exploring Operation: 78-25=53, Resulting Numbers: [60, 31, 53]
Generated Node #2: [60, 31, 53] from Operation: 78-25=53
Current State: 82:[60, 31, 53], Operations: ['78-25=53']
Exploring Operation: 60-31=29, Resulting Numbers: [53, 29]
Generated Node #3: [53, 29] from Operation: 60-31=29
Current State: 82:[53, 29], Operations: ['78-25=53', '60-31=29']
Exploring Operation: 53+29=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
86,
36,
46,
48
] | 99 | [
"86+46=132",
"36*132=4752",
"4752/48=99"
] | Current State: 99:[86, 36, 46, 48], Operations: []
Exploring Operation: 86+46=132, Resulting Numbers: [36, 48, 132]
Generated Node #2: [36, 48, 132] from Operation: 86+46=132
Current State: 99:[36, 48, 132], Operations: ['86+46=132']
Exploring Operation: 36*132=4752, Resulting Numbers: [48, 4752]
Generated Node #3: [48, 4752] from Operation: 36*132=4752
Current State: 99:[48, 4752], Operations: ['86+46=132', '36*132=4752']
Exploring Operation: 4752/48=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
35,
70,
36,
95
] | 26 | [
"35+70=105",
"36+95=131",
"131-105=26"
] | Current State: 26:[35, 70, 36, 95], Operations: []
Exploring Operation: 35+70=105, Resulting Numbers: [36, 95, 105]
Generated Node #2: [36, 95, 105] from Operation: 35+70=105
Current State: 26:[36, 95, 105], Operations: ['35+70=105']
Exploring Operation: 36+95=131, Resulting Numbers: [105, 131]
Generated Node #3: [105, 131] from Operation: 36+95=131
Current State: 26:[105, 131], Operations: ['35+70=105', '36+95=131']
Exploring Operation: 131-105=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
15,
87,
64,
36
] | 100 | [
"87-15=72",
"64-36=28",
"72+28=100"
] | Current State: 100:[15, 87, 64, 36], Operations: []
Exploring Operation: 87-15=72, Resulting Numbers: [64, 36, 72]
Generated Node #2: [64, 36, 72] from Operation: 87-15=72
Current State: 100:[64, 36, 72], Operations: ['87-15=72']
Exploring Operation: 64-36=28, Resulting Numbers: [72, 28]
Generated Node #3: [72, 28] from Operation: 64-36=28
Current State: 100:[72, 28], Operations: ['87-15=72', '64-36=28']
Exploring Operation: 72+28=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
1,
65,
64,
41
] | 40 | [
"1*65=65",
"64+41=105",
"105-65=40"
] | Current State: 40:[1, 65, 64, 41], Operations: []
Exploring Operation: 1*65=65, Resulting Numbers: [64, 41, 65]
Generated Node #2: [64, 41, 65] from Operation: 1*65=65
Current State: 40:[64, 41, 65], Operations: ['1*65=65']
Exploring Operation: 64+41=105, Resulting Numbers: [65, 105]
Generated Node #3: [65, 105] from Operation: 64+41=105
Current State: 40:[65, 105], Operations: ['1*65=65', '64+41=105']
Exploring Operation: 105-65=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
39,
68,
38,
50
] | 65 | [
"39*50=1950",
"68-38=30",
"1950/30=65"
] | Current State: 65:[39, 68, 38, 50], Operations: []
Exploring Operation: 39*50=1950, Resulting Numbers: [68, 38, 1950]
Generated Node #2: [68, 38, 1950] from Operation: 39*50=1950
Current State: 65:[68, 38, 1950], Operations: ['39*50=1950']
Exploring Operation: 68-38=30, Resulting Numbers: [1950, 30]
Generated Node #3: [1950, 30] from Operation: 68-38=30
Current State: 65:[1950, 30], Operations: ['39*50=1950', '68-38=30']
Exploring Operation: 1950/30=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
25,
27,
3,
70
] | 15 | [
"25+27=52",
"70-3=67",
"67-52=15"
] | Current State: 15:[25, 27, 3, 70], Operations: []
Exploring Operation: 25+27=52, Resulting Numbers: [3, 70, 52]
Generated Node #2: [3, 70, 52] from Operation: 25+27=52
Current State: 15:[3, 70, 52], Operations: ['25+27=52']
Exploring Operation: 70-3=67, Resulting Numbers: [52, 67]
Generated Node #3: [52, 67] from Operation: 70-3=67
Current State: 15:[52, 67], Operations: ['25+27=52', '70-3=67']
Exploring Operation: 67-52=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
38,
60,
7,
73
] | 53 | [
"73-60=13",
"7*13=91",
"91-38=53"
] | Current State: 53:[38, 60, 7, 73], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [38, 7, 13]
Generated Node #2: [38, 7, 13] from Operation: 73-60=13
Current State: 53:[38, 7, 13], Operations: ['73-60=13']
Exploring Operation: 7*13=91, Resulting Numbers: [38, 91]
Generated Node #3: [38, 91] from Operation: 7*13=91
Current State: 53:[38, 91], Operations: ['73-60=13', '7*13=91']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
50,
3,
46,
88
] | 25 | [
"50-46=4",
"88/4=22",
"3+22=25"
] | Current State: 25:[50, 3, 46, 88], Operations: []
Exploring Operation: 50-46=4, Resulting Numbers: [3, 88, 4]
Generated Node #2: [3, 88, 4] from Operation: 50-46=4
Current State: 25:[3, 88, 4], Operations: ['50-46=4']
Exploring Operation: 88/4=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 88/4=22
Current State: 25:[3, 22], Operations: ['50-46=4', '88/4=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
89,
5,
53,
94
] | 53 | [
"89+5=94",
"53+94=147",
"147-94=53"
] | Current State: 53:[89, 5, 53, 94], Operations: []
Exploring Operation: 89+5=94, Resulting Numbers: [53, 94, 94]
Generated Node #2: [53, 94, 94] from Operation: 89+5=94
Current State: 53:[53, 94, 94], Operations: ['89+5=94']
Exploring Operation: 53+94=147, Resulting Numbers: [147]
147,53 equal: Goal Reached
Exploring Operation: 147-94=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
32,
8,
40,
89
] | 53 | [
"32/8=4",
"89-40=49",
"4+49=53"
] | Current State: 53:[32, 8, 40, 89], Operations: []
Exploring Operation: 32/8=4, Resulting Numbers: [40, 89, 4]
Generated Node #2: [40, 89, 4] from Operation: 32/8=4
Current State: 53:[40, 89, 4], Operations: ['32/8=4']
Exploring Operation: 89-40=49, Resulting Numbers: [4, 49]
Generated Node #3: [4, 49] from Operation: 89-40=49
Current State: 53:[4, 49], Operations: ['32/8=4', '89-40=49']
Exploring Operation: 4+49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
11,
57,
66,
74
] | 94 | [
"57-11=46",
"66+74=140",
"140-46=94"
] | Current State: 94:[11, 57, 66, 74], Operations: []
Exploring Operation: 57-11=46, Resulting Numbers: [66, 74, 46]
Generated Node #2: [66, 74, 46] from Operation: 57-11=46
Current State: 94:[66, 74, 46], Operations: ['57-11=46']
Exploring Operation: 66+74=140, Resulting Numbers: [46, 140]
Generated Node #3: [46, 140] from Operation: 66+74=140
Current State: 94:[46, 140], Operations: ['57-11=46', '66+74=140']
Exploring Operation: 140-46=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
16,
22,
53
] | 40 | [
"2+53=55",
"16*55=880",
"880/22=40"
] | Current State: 40:[2, 16, 22, 53], Operations: []
Exploring Operation: 2+53=55, Resulting Numbers: [16, 22, 55]
Generated Node #2: [16, 22, 55] from Operation: 2+53=55
Current State: 40:[16, 22, 55], Operations: ['2+53=55']
Exploring Operation: 16*55=880, Resulting Numbers: [22, 880]
Generated Node #3: [22, 880] from Operation: 16*55=880
Current State: 40:[22, 880], Operations: ['2+53=55', '16*55=880']
Exploring Operation: 880/22=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
44,
27,
78,
34
] | 41 | [
"44+27=71",
"78+34=112",
"112-71=41"
] | Current State: 41:[44, 27, 78, 34], Operations: []
Exploring Operation: 44+27=71, Resulting Numbers: [78, 34, 71]
Generated Node #2: [78, 34, 71] from Operation: 44+27=71
Current State: 41:[78, 34, 71], Operations: ['44+27=71']
Exploring Operation: 78+34=112, Resulting Numbers: [71, 112]
Generated Node #3: [71, 112] from Operation: 78+34=112
Current State: 41:[71, 112], Operations: ['44+27=71', '78+34=112']
Exploring Operation: 112-71=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
77,
83,
20,
74
] | 100 | [
"83-77=6",
"20+74=94",
"6+94=100"
] | Current State: 100:[77, 83, 20, 74], Operations: []
Exploring Operation: 83-77=6, Resulting Numbers: [20, 74, 6]
Generated Node #2: [20, 74, 6] from Operation: 83-77=6
Current State: 100:[20, 74, 6], Operations: ['83-77=6']
Exploring Operation: 20+74=94, Resulting Numbers: [6, 94]
Generated Node #3: [6, 94] from Operation: 20+74=94
Current State: 100:[6, 94], Operations: ['83-77=6', '20+74=94']
Exploring Operation: 6+94=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
78,
10,
55,
3
] | 91 | [
"78/3=26",
"10+55=65",
"26+65=91"
] | Current State: 91:[78, 10, 55, 3], Operations: []
Exploring Operation: 78/3=26, Resulting Numbers: [10, 55, 26]
Generated Node #2: [10, 55, 26] from Operation: 78/3=26
Current State: 91:[10, 55, 26], Operations: ['78/3=26']
Exploring Operation: 10+55=65, Resulting Numbers: [26, 65]
Generated Node #3: [26, 65] from Operation: 10+55=65
Current State: 91:[26, 65], Operations: ['78/3=26', '10+55=65']
Exploring Operation: 26+65=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
7,
80,
5,
97
] | 19 | [
"80-7=73",
"97-5=92",
"92-73=19"
] | Current State: 19:[7, 80, 5, 97], Operations: []
Exploring Operation: 80-7=73, Resulting Numbers: [5, 97, 73]
Generated Node #2: [5, 97, 73] from Operation: 80-7=73
Current State: 19:[5, 97, 73], Operations: ['80-7=73']
Exploring Operation: 97-5=92, Resulting Numbers: [73, 92]
Generated Node #3: [73, 92] from Operation: 97-5=92
Current State: 19:[73, 92], Operations: ['80-7=73', '97-5=92']
Exploring Operation: 92-73=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
20,
32,
72,
79
] | 34 | [
"20*72=1440",
"1440/32=45",
"79-45=34"
] | Current State: 34:[20, 32, 72, 79], Operations: []
Exploring Operation: 20*72=1440, Resulting Numbers: [32, 79, 1440]
Generated Node #2: [32, 79, 1440] from Operation: 20*72=1440
Current State: 34:[32, 79, 1440], Operations: ['20*72=1440']
Exploring Operation: 1440/32=45, Resulting Numbers: [79, 45]
Generated Node #3: [79, 45] from Operation: 1440/32=45
Current State: 34:[79, 45], Operations: ['20*72=1440', '1440/32=45']
Exploring Operation: 79-45=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
2,
23,
82
] | 61 | [
"82-6=76",
"76/2=38",
"23+38=61"
] | Current State: 61:[6, 2, 23, 82], Operations: []
Exploring Operation: 82-6=76, Resulting Numbers: [2, 23, 76]
Generated Node #2: [2, 23, 76] from Operation: 82-6=76
Current State: 61:[2, 23, 76], Operations: ['82-6=76']
Exploring Operation: 76/2=38, Resulting Numbers: [23, 38]
Generated Node #3: [23, 38] from Operation: 76/2=38
Current State: 61:[23, 38], Operations: ['82-6=76', '76/2=38']
Exploring Operation: 23+38=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
75,
13,
16,
35
] | 60 | [
"16-13=3",
"75/3=25",
"35+25=60"
] | Current State: 60:[75, 13, 16, 35], Operations: []
Exploring Operation: 16-13=3, Resulting Numbers: [75, 35, 3]
Generated Node #2: [75, 35, 3] from Operation: 16-13=3
Current State: 60:[75, 35, 3], Operations: ['16-13=3']
Exploring Operation: 75/3=25, Resulting Numbers: [35, 25]
Generated Node #3: [35, 25] from Operation: 75/3=25
Current State: 60:[35, 25], Operations: ['16-13=3', '75/3=25']
Exploring Operation: 35+25=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
47,
42,
7,
28
] | 16 | [
"47-42=5",
"28-7=21",
"21-5=16"
] | Current State: 16:[47, 42, 7, 28], Operations: []
Exploring Operation: 47-42=5, Resulting Numbers: [7, 28, 5]
Generated Node #2: [7, 28, 5] from Operation: 47-42=5
Current State: 16:[7, 28, 5], Operations: ['47-42=5']
Exploring Operation: 28-7=21, Resulting Numbers: [5, 21]
Generated Node #3: [5, 21] from Operation: 28-7=21
Current State: 16:[5, 21], Operations: ['47-42=5', '28-7=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
2,
82,
5,
18
] | 61 | [
"2+82=84",
"5+18=23",
"84-23=61"
] | Current State: 61:[2, 82, 5, 18], Operations: []
Exploring Operation: 2+82=84, Resulting Numbers: [5, 18, 84]
Generated Node #2: [5, 18, 84] from Operation: 2+82=84
Current State: 61:[5, 18, 84], Operations: ['2+82=84']
Exploring Operation: 5+18=23, Resulting Numbers: [84, 23]
Generated Node #3: [84, 23] from Operation: 5+18=23
Current State: 61:[84, 23], Operations: ['2+82=84', '5+18=23']
Exploring Operation: 84-23=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
90,
20,
84,
53
] | 67 | [
"90-20=70",
"84+53=137",
"137-70=67"
] | Current State: 67:[90, 20, 84, 53], Operations: []
Exploring Operation: 90-20=70, Resulting Numbers: [84, 53, 70]
Generated Node #2: [84, 53, 70] from Operation: 90-20=70
Current State: 67:[84, 53, 70], Operations: ['90-20=70']
Exploring Operation: 84+53=137, Resulting Numbers: [70, 137]
Generated Node #3: [70, 137] from Operation: 84+53=137
Current State: 67:[70, 137], Operations: ['90-20=70', '84+53=137']
Exploring Operation: 137-70=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
15,
78,
10,
23
] | 11 | [
"15-10=5",
"78-23=55",
"55/5=11"
] | Current State: 11:[15, 78, 10, 23], Operations: []
Exploring Operation: 15-10=5, Resulting Numbers: [78, 23, 5]
Generated Node #2: [78, 23, 5] from Operation: 15-10=5
Current State: 11:[78, 23, 5], Operations: ['15-10=5']
Exploring Operation: 78-23=55, Resulting Numbers: [5, 55]
Generated Node #3: [5, 55] from Operation: 78-23=55
Current State: 11:[5, 55], Operations: ['15-10=5', '78-23=55']
Exploring Operation: 55/5=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
13,
34,
38,
66
] | 19 | [
"13+34=47",
"66-38=28",
"47-28=19"
] | Current State: 19:[13, 34, 38, 66], Operations: []
Exploring Operation: 13+34=47, Resulting Numbers: [38, 66, 47]
Generated Node #2: [38, 66, 47] from Operation: 13+34=47
Current State: 19:[38, 66, 47], Operations: ['13+34=47']
Exploring Operation: 66-38=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 66-38=28
Current State: 19:[47, 28], Operations: ['13+34=47', '66-38=28']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
9,
76,
13,
65
] | 90 | [
"9+76=85",
"65/13=5",
"85+5=90"
] | Current State: 90:[9, 76, 13, 65], Operations: []
Exploring Operation: 9+76=85, Resulting Numbers: [13, 65, 85]
Generated Node #2: [13, 65, 85] from Operation: 9+76=85
Current State: 90:[13, 65, 85], Operations: ['9+76=85']
Exploring Operation: 65/13=5, Resulting Numbers: [85, 5]
Generated Node #3: [85, 5] from Operation: 65/13=5
Current State: 90:[85, 5], Operations: ['9+76=85', '65/13=5']
Exploring Operation: 85+5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
61,
72,
48,
74
] | 74 | [
"74-72=2",
"61*2=122",
"122-48=74"
] | Current State: 74:[61, 72, 48, 74], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [61, 48, 2]
Generated Node #2: [61, 48, 2] from Operation: 74-72=2
Current State: 74:[61, 48, 2], Operations: ['74-72=2']
Exploring Operation: 61*2=122, Resulting Numbers: [48, 122]
Generated Node #3: [48, 122] from Operation: 61*2=122
Current State: 74:[48, 122], Operations: ['74-72=2', '61*2=122']
Exploring Operation: 122-48=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
90,
30,
95,
62
] | 30 | [
"90/30=3",
"95-62=33",
"33-3=30"
] | Current State: 30:[90, 30, 95, 62], Operations: []
Exploring Operation: 90/30=3, Resulting Numbers: [95, 62, 3]
Generated Node #2: [95, 62, 3] from Operation: 90/30=3
Current State: 30:[95, 62, 3], Operations: ['90/30=3']
Exploring Operation: 95-62=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 95-62=33
Current State: 30:[3, 33], Operations: ['90/30=3', '95-62=33']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
20,
85,
8,
58
] | 17 | [
"20*8=160",
"85+58=143",
"160-143=17"
] | Current State: 17:[20, 85, 8, 58], Operations: []
Exploring Operation: 20*8=160, Resulting Numbers: [85, 58, 160]
Generated Node #2: [85, 58, 160] from Operation: 20*8=160
Current State: 17:[85, 58, 160], Operations: ['20*8=160']
Exploring Operation: 85+58=143, Resulting Numbers: [160, 143]
Generated Node #3: [160, 143] from Operation: 85+58=143
Current State: 17:[160, 143], Operations: ['20*8=160', '85+58=143']
Exploring Operation: 160-143=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
25,
35,
14,
6
] | 24 | [
"25+35=60",
"14*6=84",
"84-60=24"
] | Current State: 24:[25, 35, 14, 6], Operations: []
Exploring Operation: 25+35=60, Resulting Numbers: [14, 6, 60]
Generated Node #2: [14, 6, 60] from Operation: 25+35=60
Current State: 24:[14, 6, 60], Operations: ['25+35=60']
Exploring Operation: 14*6=84, Resulting Numbers: [60, 84]
Generated Node #3: [60, 84] from Operation: 14*6=84
Current State: 24:[60, 84], Operations: ['25+35=60', '14*6=84']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
35,
15,
92,
85
] | 57 | [
"35+15=50",
"92-85=7",
"50+7=57"
] | Current State: 57:[35, 15, 92, 85], Operations: []
Exploring Operation: 35+15=50, Resulting Numbers: [92, 85, 50]
Generated Node #2: [92, 85, 50] from Operation: 35+15=50
Current State: 57:[92, 85, 50], Operations: ['35+15=50']
Exploring Operation: 92-85=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 92-85=7
Current State: 57:[50, 7], Operations: ['35+15=50', '92-85=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
66,
42,
9,
28
] | 53 | [
"66*28=1848",
"1848/42=44",
"9+44=53"
] | Current State: 53:[66, 42, 9, 28], Operations: []
Exploring Operation: 66*28=1848, Resulting Numbers: [42, 9, 1848]
Generated Node #2: [42, 9, 1848] from Operation: 66*28=1848
Current State: 53:[42, 9, 1848], Operations: ['66*28=1848']
Exploring Operation: 1848/42=44, Resulting Numbers: [9, 44]
Generated Node #3: [9, 44] from Operation: 1848/42=44
Current State: 53:[9, 44], Operations: ['66*28=1848', '1848/42=44']
Exploring Operation: 9+44=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
79,
59,
19
] | 61 | [
"79-19=60",
"2*60=120",
"120-59=61"
] | Current State: 61:[2, 79, 59, 19], Operations: []
Exploring Operation: 79-19=60, Resulting Numbers: [2, 59, 60]
Generated Node #2: [2, 59, 60] from Operation: 79-19=60
Current State: 61:[2, 59, 60], Operations: ['79-19=60']
Exploring Operation: 2*60=120, Resulting Numbers: [59, 120]
Generated Node #3: [59, 120] from Operation: 2*60=120
Current State: 61:[59, 120], Operations: ['79-19=60', '2*60=120']
Exploring Operation: 120-59=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
13,
3,
45,
48
] | 44 | [
"45+48=93",
"93/3=31",
"13+31=44"
] | Current State: 44:[13, 3, 45, 48], Operations: []
Exploring Operation: 45+48=93, Resulting Numbers: [13, 3, 93]
Generated Node #2: [13, 3, 93] from Operation: 45+48=93
Current State: 44:[13, 3, 93], Operations: ['45+48=93']
Exploring Operation: 93/3=31, Resulting Numbers: [13, 31]
Generated Node #3: [13, 31] from Operation: 93/3=31
Current State: 44:[13, 31], Operations: ['45+48=93', '93/3=31']
Exploring Operation: 13+31=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
68,
91,
60,
85
] | 14 | [
"68+91=159",
"60+85=145",
"159-145=14"
] | Current State: 14:[68, 91, 60, 85], Operations: []
Exploring Operation: 68+91=159, Resulting Numbers: [60, 85, 159]
Generated Node #2: [60, 85, 159] from Operation: 68+91=159
Current State: 14:[60, 85, 159], Operations: ['68+91=159']
Exploring Operation: 60+85=145, Resulting Numbers: [159, 145]
Generated Node #3: [159, 145] from Operation: 60+85=145
Current State: 14:[159, 145], Operations: ['68+91=159', '60+85=145']
Exploring Operation: 159-145=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
94,
14,
85,
19
] | 87 | [
"94+85=179",
"14*19=266",
"266-179=87"
] | Current State: 87:[94, 14, 85, 19], Operations: []
Exploring Operation: 94+85=179, Resulting Numbers: [14, 19, 179]
Generated Node #2: [14, 19, 179] from Operation: 94+85=179
Current State: 87:[14, 19, 179], Operations: ['94+85=179']
Exploring Operation: 14*19=266, Resulting Numbers: [179, 266]
Generated Node #3: [179, 266] from Operation: 14*19=266
Current State: 87:[179, 266], Operations: ['94+85=179', '14*19=266']
Exploring Operation: 266-179=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
56,
70,
30,
63
] | 45 | [
"70-30=40",
"63*40=2520",
"2520/56=45"
] | Current State: 45:[56, 70, 30, 63], Operations: []
Exploring Operation: 70-30=40, Resulting Numbers: [56, 63, 40]
Generated Node #2: [56, 63, 40] from Operation: 70-30=40
Current State: 45:[56, 63, 40], Operations: ['70-30=40']
Exploring Operation: 63*40=2520, Resulting Numbers: [56, 2520]
Generated Node #3: [56, 2520] from Operation: 63*40=2520
Current State: 45:[56, 2520], Operations: ['70-30=40', '63*40=2520']
Exploring Operation: 2520/56=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
33,
98,
17,
27
] | 87 | [
"33+98=131",
"17+27=44",
"131-44=87"
] | Current State: 87:[33, 98, 17, 27], Operations: []
Exploring Operation: 33+98=131, Resulting Numbers: [17, 27, 131]
Generated Node #2: [17, 27, 131] from Operation: 33+98=131
Current State: 87:[17, 27, 131], Operations: ['33+98=131']
Exploring Operation: 17+27=44, Resulting Numbers: [131, 44]
Generated Node #3: [131, 44] from Operation: 17+27=44
Current State: 87:[131, 44], Operations: ['33+98=131', '17+27=44']
Exploring Operation: 131-44=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
49,
93,
6,
25
] | 52 | [
"6+25=31",
"93/31=3",
"49+3=52"
] | Current State: 52:[49, 93, 6, 25], Operations: []
Exploring Operation: 6+25=31, Resulting Numbers: [49, 93, 31]
Generated Node #2: [49, 93, 31] from Operation: 6+25=31
Current State: 52:[49, 93, 31], Operations: ['6+25=31']
Exploring Operation: 93/31=3, Resulting Numbers: [49, 3]
Generated Node #3: [49, 3] from Operation: 93/31=3
Current State: 52:[49, 3], Operations: ['6+25=31', '93/31=3']
Exploring Operation: 49+3=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
5,
60,
28,
14
] | 66 | [
"5*28=140",
"60+14=74",
"140-74=66"
] | Current State: 66:[5, 60, 28, 14], Operations: []
Exploring Operation: 5*28=140, Resulting Numbers: [60, 14, 140]
Generated Node #2: [60, 14, 140] from Operation: 5*28=140
Current State: 66:[60, 14, 140], Operations: ['5*28=140']
Exploring Operation: 60+14=74, Resulting Numbers: [140, 74]
Generated Node #3: [140, 74] from Operation: 60+14=74
Current State: 66:[140, 74], Operations: ['5*28=140', '60+14=74']
Exploring Operation: 140-74=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
46,
49,
4,
67
] | 83 | [
"46+67=113",
"49*4=196",
"196-113=83"
] | Current State: 83:[46, 49, 4, 67], Operations: []
Exploring Operation: 46+67=113, Resulting Numbers: [49, 4, 113]
Generated Node #2: [49, 4, 113] from Operation: 46+67=113
Current State: 83:[49, 4, 113], Operations: ['46+67=113']
Exploring Operation: 49*4=196, Resulting Numbers: [113, 196]
Generated Node #3: [113, 196] from Operation: 49*4=196
Current State: 83:[113, 196], Operations: ['46+67=113', '49*4=196']
Exploring Operation: 196-113=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
63,
7,
60,
5
] | 36 | [
"63-60=3",
"7+5=12",
"3*12=36"
] | Current State: 36:[63, 7, 60, 5], Operations: []
Exploring Operation: 63-60=3, Resulting Numbers: [7, 5, 3]
Generated Node #2: [7, 5, 3] from Operation: 63-60=3
Current State: 36:[7, 5, 3], Operations: ['63-60=3']
Exploring Operation: 7+5=12, Resulting Numbers: [3, 12]
Generated Node #3: [3, 12] from Operation: 7+5=12
Current State: 36:[3, 12], Operations: ['63-60=3', '7+5=12']
Exploring Operation: 3*12=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
4,
74,
51,
12
] | 82 | [
"51-12=39",
"4*39=156",
"156-74=82"
] | Current State: 82:[4, 74, 51, 12], Operations: []
Exploring Operation: 51-12=39, Resulting Numbers: [4, 74, 39]
Generated Node #2: [4, 74, 39] from Operation: 51-12=39
Current State: 82:[4, 74, 39], Operations: ['51-12=39']
Exploring Operation: 4*39=156, Resulting Numbers: [74, 156]
Generated Node #3: [74, 156] from Operation: 4*39=156
Current State: 82:[74, 156], Operations: ['51-12=39', '4*39=156']
Exploring Operation: 156-74=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
30,
18,
44
] | 92 | [
"88+30=118",
"44-18=26",
"118-26=92"
] | Current State: 92:[88, 30, 18, 44], Operations: []
Exploring Operation: 88+30=118, Resulting Numbers: [18, 44, 118]
Generated Node #2: [18, 44, 118] from Operation: 88+30=118
Current State: 92:[18, 44, 118], Operations: ['88+30=118']
Exploring Operation: 44-18=26, Resulting Numbers: [118, 26]
Generated Node #3: [118, 26] from Operation: 44-18=26
Current State: 92:[118, 26], Operations: ['88+30=118', '44-18=26']
Exploring Operation: 118-26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
85,
9,
88,
82
] | 31 | [
"88-82=6",
"9*6=54",
"85-54=31"
] | Current State: 31:[85, 9, 88, 82], Operations: []
Exploring Operation: 88-82=6, Resulting Numbers: [85, 9, 6]
Generated Node #2: [85, 9, 6] from Operation: 88-82=6
Current State: 31:[85, 9, 6], Operations: ['88-82=6']
Exploring Operation: 9*6=54, Resulting Numbers: [85, 54]
Generated Node #3: [85, 54] from Operation: 9*6=54
Current State: 31:[85, 54], Operations: ['88-82=6', '9*6=54']
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
7,
27,
26,
54
] | 46 | [
"7+27=34",
"26+54=80",
"80-34=46"
] | Current State: 46:[7, 27, 26, 54], Operations: []
Exploring Operation: 7+27=34, Resulting Numbers: [26, 54, 34]
Generated Node #2: [26, 54, 34] from Operation: 7+27=34
Current State: 46:[26, 54, 34], Operations: ['7+27=34']
Exploring Operation: 26+54=80, Resulting Numbers: [34, 80]
Generated Node #3: [34, 80] from Operation: 26+54=80
Current State: 46:[34, 80], Operations: ['7+27=34', '26+54=80']
Exploring Operation: 80-34=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
96,
10,
90,
7
] | 52 | [
"96-90=6",
"7*6=42",
"10+42=52"
] | Current State: 52:[96, 10, 90, 7], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [10, 7, 6]
Generated Node #2: [10, 7, 6] from Operation: 96-90=6
Current State: 52:[10, 7, 6], Operations: ['96-90=6']
Exploring Operation: 7*6=42, Resulting Numbers: [10, 42]
Generated Node #3: [10, 42] from Operation: 7*6=42
Current State: 52:[10, 42], Operations: ['96-90=6', '7*6=42']
Exploring Operation: 10+42=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
19,
15,
81,
12
] | 16 | [
"15+12=27",
"81/27=3",
"19-3=16"
] | Current State: 16:[19, 15, 81, 12], Operations: []
Exploring Operation: 15+12=27, Resulting Numbers: [19, 81, 27]
Generated Node #2: [19, 81, 27] from Operation: 15+12=27
Current State: 16:[19, 81, 27], Operations: ['15+12=27']
Exploring Operation: 81/27=3, Resulting Numbers: [19, 3]
Generated Node #3: [19, 3] from Operation: 81/27=3
Current State: 16:[19, 3], Operations: ['15+12=27', '81/27=3']
Exploring Operation: 19-3=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
78,
88,
22
] | 45 | [
"88/8=11",
"78-22=56",
"56-11=45"
] | Current State: 45:[8, 78, 88, 22], Operations: []
Exploring Operation: 88/8=11, Resulting Numbers: [78, 22, 11]
Generated Node #2: [78, 22, 11] from Operation: 88/8=11
Current State: 45:[78, 22, 11], Operations: ['88/8=11']
Exploring Operation: 78-22=56, Resulting Numbers: [11, 56]
Generated Node #3: [11, 56] from Operation: 78-22=56
Current State: 45:[11, 56], Operations: ['88/8=11', '78-22=56']
Exploring Operation: 56-11=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
90,
7,
80,
65
] | 15 | [
"90+80=170",
"170-65=105",
"105/7=15"
] | Current State: 15:[90, 7, 80, 65], Operations: []
Exploring Operation: 90+80=170, Resulting Numbers: [7, 65, 170]
Generated Node #2: [7, 65, 170] from Operation: 90+80=170
Current State: 15:[7, 65, 170], Operations: ['90+80=170']
Exploring Operation: 170-65=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 170-65=105
Current State: 15:[7, 105], Operations: ['90+80=170', '170-65=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
4,
5,
65,
95
] | 71 | [
"4*65=260",
"95+260=355",
"355/5=71"
] | Current State: 71:[4, 5, 65, 95], Operations: []
Exploring Operation: 4*65=260, Resulting Numbers: [5, 95, 260]
Generated Node #2: [5, 95, 260] from Operation: 4*65=260
Current State: 71:[5, 95, 260], Operations: ['4*65=260']
Exploring Operation: 95+260=355, Resulting Numbers: [5, 355]
Generated Node #3: [5, 355] from Operation: 95+260=355
Current State: 71:[5, 355], Operations: ['4*65=260', '95+260=355']
Exploring Operation: 355/5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
19,
38,
95,
55
] | 80 | [
"38/19=2",
"95-55=40",
"2*40=80"
] | Current State: 80:[19, 38, 95, 55], Operations: []
Exploring Operation: 38/19=2, Resulting Numbers: [95, 55, 2]
Generated Node #2: [95, 55, 2] from Operation: 38/19=2
Current State: 80:[95, 55, 2], Operations: ['38/19=2']
Exploring Operation: 95-55=40, Resulting Numbers: [2, 40]
Generated Node #3: [2, 40] from Operation: 95-55=40
Current State: 80:[2, 40], Operations: ['38/19=2', '95-55=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
21,
58,
4,
84
] | 58 | [
"21+58=79",
"84/4=21",
"79-21=58"
] | Current State: 58:[21, 58, 4, 84], Operations: []
Exploring Operation: 21+58=79, Resulting Numbers: [4, 84, 79]
Generated Node #2: [4, 84, 79] from Operation: 21+58=79
Current State: 58:[4, 84, 79], Operations: ['21+58=79']
Exploring Operation: 84/4=21, Resulting Numbers: [79, 21]
Generated Node #3: [79, 21] from Operation: 84/4=21
Current State: 58:[79, 21], Operations: ['21+58=79', '84/4=21']
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
10,
33,
19,
63
] | 67 | [
"33-10=23",
"63-19=44",
"23+44=67"
] | Current State: 67:[10, 33, 19, 63], Operations: []
Exploring Operation: 33-10=23, Resulting Numbers: [19, 63, 23]
Generated Node #2: [19, 63, 23] from Operation: 33-10=23
Current State: 67:[19, 63, 23], Operations: ['33-10=23']
Exploring Operation: 63-19=44, Resulting Numbers: [23, 44]
Generated Node #3: [23, 44] from Operation: 63-19=44
Current State: 67:[23, 44], Operations: ['33-10=23', '63-19=44']
Exploring Operation: 23+44=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
95,
46,
74,
3
] | 31 | [
"95+74=169",
"46*3=138",
"169-138=31"
] | Current State: 31:[95, 46, 74, 3], Operations: []
Exploring Operation: 95+74=169, Resulting Numbers: [46, 3, 169]
Generated Node #2: [46, 3, 169] from Operation: 95+74=169
Current State: 31:[46, 3, 169], Operations: ['95+74=169']
Exploring Operation: 46*3=138, Resulting Numbers: [169, 138]
Generated Node #3: [169, 138] from Operation: 46*3=138
Current State: 31:[169, 138], Operations: ['95+74=169', '46*3=138']
Exploring Operation: 169-138=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
13,
58,
53
] | 82 | [
"58-53=5",
"13*5=65",
"17+65=82"
] | Current State: 82:[17, 13, 58, 53], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [17, 13, 5]
Generated Node #2: [17, 13, 5] from Operation: 58-53=5
Current State: 82:[17, 13, 5], Operations: ['58-53=5']
Exploring Operation: 13*5=65, Resulting Numbers: [17, 65]
Generated Node #3: [17, 65] from Operation: 13*5=65
Current State: 82:[17, 65], Operations: ['58-53=5', '13*5=65']
Exploring Operation: 17+65=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
73,
71,
72,
62
] | 11 | [
"73-62=11",
"72-71=1",
"11*1=11"
] | Current State: 11:[73, 71, 72, 62], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [71, 72, 11]
Generated Node #2: [71, 72, 11] from Operation: 73-62=11
Current State: 11:[71, 72, 11], Operations: ['73-62=11']
Exploring Operation: 72-71=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 72-71=1
Current State: 11:[11, 1], Operations: ['73-62=11', '72-71=1']
Exploring Operation: 11*1=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
18,
2,
21,
36
] | 78 | [
"21-18=3",
"36+3=39",
"2*39=78"
] | Current State: 78:[18, 2, 21, 36], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [2, 36, 3]
Generated Node #2: [2, 36, 3] from Operation: 21-18=3
Current State: 78:[2, 36, 3], Operations: ['21-18=3']
Exploring Operation: 36+3=39, Resulting Numbers: [2, 39]
Generated Node #3: [2, 39] from Operation: 36+3=39
Current State: 78:[2, 39], Operations: ['21-18=3', '36+3=39']
Exploring Operation: 2*39=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
92,
48,
92,
34
] | 48 | [
"92-92=0",
"34*0=0",
"48+0=48"
] | Current State: 48:[92, 48, 92, 34], Operations: []
Exploring Operation: 92-92=0, Resulting Numbers: [48, 34, 0]
Generated Node #2: [48, 34, 0] from Operation: 92-92=0
Current State: 48:[48, 34, 0], Operations: ['92-92=0']
Exploring Operation: 34*0=0, Resulting Numbers: [48, 0]
Generated Node #3: [48, 0] from Operation: 34*0=0
Current State: 48:[48, 0], Operations: ['92-92=0', '34*0=0']
Exploring Operation: 48+0=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
86,
8,
14,
31
] | 95 | [
"86-8=78",
"31-14=17",
"78+17=95"
] | Current State: 95:[86, 8, 14, 31], Operations: []
Exploring Operation: 86-8=78, Resulting Numbers: [14, 31, 78]
Generated Node #2: [14, 31, 78] from Operation: 86-8=78
Current State: 95:[14, 31, 78], Operations: ['86-8=78']
Exploring Operation: 31-14=17, Resulting Numbers: [78, 17]
Generated Node #3: [78, 17] from Operation: 31-14=17
Current State: 95:[78, 17], Operations: ['86-8=78', '31-14=17']
Exploring Operation: 78+17=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
51,
93,
75
] | 79 | [
"93+75=168",
"168/6=28",
"51+28=79"
] | Current State: 79:[6, 51, 93, 75], Operations: []
Exploring Operation: 93+75=168, Resulting Numbers: [6, 51, 168]
Generated Node #2: [6, 51, 168] from Operation: 93+75=168
Current State: 79:[6, 51, 168], Operations: ['93+75=168']
Exploring Operation: 168/6=28, Resulting Numbers: [51, 28]
Generated Node #3: [51, 28] from Operation: 168/6=28
Current State: 79:[51, 28], Operations: ['93+75=168', '168/6=28']
Exploring Operation: 51+28=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
5,
69,
2,
97
] | 31 | [
"69-5=64",
"97-2=95",
"95-64=31"
] | Current State: 31:[5, 69, 2, 97], Operations: []
Exploring Operation: 69-5=64, Resulting Numbers: [2, 97, 64]
Generated Node #2: [2, 97, 64] from Operation: 69-5=64
Current State: 31:[2, 97, 64], Operations: ['69-5=64']
Exploring Operation: 97-2=95, Resulting Numbers: [64, 95]
Generated Node #3: [64, 95] from Operation: 97-2=95
Current State: 31:[64, 95], Operations: ['69-5=64', '97-2=95']
Exploring Operation: 95-64=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
14,
6,
53,
19
] | 26 | [
"14-6=8",
"53-19=34",
"34-8=26"
] | Current State: 26:[14, 6, 53, 19], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [53, 19, 8]
Generated Node #2: [53, 19, 8] from Operation: 14-6=8
Current State: 26:[53, 19, 8], Operations: ['14-6=8']
Exploring Operation: 53-19=34, Resulting Numbers: [8, 34]
Generated Node #3: [8, 34] from Operation: 53-19=34
Current State: 26:[8, 34], Operations: ['14-6=8', '53-19=34']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
31,
49,
83,
29
] | 72 | [
"49-31=18",
"83-29=54",
"18+54=72"
] | Current State: 72:[31, 49, 83, 29], Operations: []
Exploring Operation: 49-31=18, Resulting Numbers: [83, 29, 18]
Generated Node #2: [83, 29, 18] from Operation: 49-31=18
Current State: 72:[83, 29, 18], Operations: ['49-31=18']
Exploring Operation: 83-29=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 83-29=54
Current State: 72:[18, 54], Operations: ['49-31=18', '83-29=54']
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
46,
2,
37,
92
] | 85 | [
"46-2=44",
"37+92=129",
"129-44=85"
] | Current State: 85:[46, 2, 37, 92], Operations: []
Exploring Operation: 46-2=44, Resulting Numbers: [37, 92, 44]
Generated Node #2: [37, 92, 44] from Operation: 46-2=44
Current State: 85:[37, 92, 44], Operations: ['46-2=44']
Exploring Operation: 37+92=129, Resulting Numbers: [44, 129]
Generated Node #3: [44, 129] from Operation: 37+92=129
Current State: 85:[44, 129], Operations: ['46-2=44', '37+92=129']
Exploring Operation: 129-44=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
83,
79,
4,
71
] | 85 | [
"79-71=8",
"8/4=2",
"83+2=85"
] | Current State: 85:[83, 79, 4, 71], Operations: []
Exploring Operation: 79-71=8, Resulting Numbers: [83, 4, 8]
Generated Node #2: [83, 4, 8] from Operation: 79-71=8
Current State: 85:[83, 4, 8], Operations: ['79-71=8']
Exploring Operation: 8/4=2, Resulting Numbers: [83, 2]
Generated Node #3: [83, 2] from Operation: 8/4=2
Current State: 85:[83, 2], Operations: ['79-71=8', '8/4=2']
Exploring Operation: 83+2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
96,
84,
3,
33
] | 28 | [
"96+3=99",
"84*33=2772",
"2772/99=28"
] | Current State: 28:[96, 84, 3, 33], Operations: []
Exploring Operation: 96+3=99, Resulting Numbers: [84, 33, 99]
Generated Node #2: [84, 33, 99] from Operation: 96+3=99
Current State: 28:[84, 33, 99], Operations: ['96+3=99']
Exploring Operation: 84*33=2772, Resulting Numbers: [99, 2772]
Generated Node #3: [99, 2772] from Operation: 84*33=2772
Current State: 28:[99, 2772], Operations: ['96+3=99', '84*33=2772']
Exploring Operation: 2772/99=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
51,
8,
49,
79
] | 67 | [
"49+79=128",
"128/8=16",
"51+16=67"
] | Current State: 67:[51, 8, 49, 79], Operations: []
Exploring Operation: 49+79=128, Resulting Numbers: [51, 8, 128]
Generated Node #2: [51, 8, 128] from Operation: 49+79=128
Current State: 67:[51, 8, 128], Operations: ['49+79=128']
Exploring Operation: 128/8=16, Resulting Numbers: [51, 16]
Generated Node #3: [51, 16] from Operation: 128/8=16
Current State: 67:[51, 16], Operations: ['49+79=128', '128/8=16']
Exploring Operation: 51+16=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
71,
46,
96,
62
] | 65 | [
"62-46=16",
"96/16=6",
"71-6=65"
] | Current State: 65:[71, 46, 96, 62], Operations: []
Exploring Operation: 62-46=16, Resulting Numbers: [71, 96, 16]
Generated Node #2: [71, 96, 16] from Operation: 62-46=16
Current State: 65:[71, 96, 16], Operations: ['62-46=16']
Exploring Operation: 96/16=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 96/16=6
Current State: 65:[71, 6], Operations: ['62-46=16', '96/16=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
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