nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
19,
91,
8,
73
] | 29 | [
"19+91=110",
"8+73=81",
"110-81=29"
] | Current State: 29:[19, 91, 8, 73], Operations: []
Exploring Operation: 19+91=110, Resulting Numbers: [8, 73, 110]
Generated Node #2: [8, 73, 110] from Operation: 19+91=110
Current State: 29:[8, 73, 110], Operations: ['19+91=110']
Exploring Operation: 8+73=81, Resulting Numbers: [110, 81]
Generated Node #3: [110, 81] from Operation: 8+73=81
Current State: 29:[110, 81], Operations: ['19+91=110', '8+73=81']
Exploring Operation: 110-81=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
88,
76,
2,
80
] | 46 | [
"88-76=12",
"80+12=92",
"92/2=46"
] | Current State: 46:[88, 76, 2, 80], Operations: []
Exploring Operation: 88-76=12, Resulting Numbers: [2, 80, 12]
Generated Node #2: [2, 80, 12] from Operation: 88-76=12
Current State: 46:[2, 80, 12], Operations: ['88-76=12']
Exploring Operation: 80+12=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 80+12=92
Current State: 46:[2, 92], Operations: ['88-76=12', '80+12=92']
Exploring Operation: 92/2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
78,
29,
2,
5
] | 57 | [
"29-2=27",
"5*27=135",
"135-78=57"
] | Current State: 57:[78, 29, 2, 5], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [78, 5, 27]
Generated Node #2: [78, 5, 27] from Operation: 29-2=27
Current State: 57:[78, 5, 27], Operations: ['29-2=27']
Exploring Operation: 5*27=135, Resulting Numbers: [78, 135]
Generated Node #3: [78, 135] from Operation: 5*27=135
Current State: 57:[78, 135], Operations: ['29-2=27', '5*27=135']
Exploring Operation: 135-78=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
59,
75,
56,
66
] | 67 | [
"66-59=7",
"56/7=8",
"75-8=67"
] | Current State: 67:[59, 75, 56, 66], Operations: []
Exploring Operation: 66-59=7, Resulting Numbers: [75, 56, 7]
Generated Node #2: [75, 56, 7] from Operation: 66-59=7
Current State: 67:[75, 56, 7], Operations: ['66-59=7']
Exploring Operation: 56/7=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 56/7=8
Current State: 67:[75, 8], Operations: ['66-59=7', '56/7=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
28,
37,
80,
3
] | 12 | [
"28+37=65",
"80-3=77",
"77-65=12"
] | Current State: 12:[28, 37, 80, 3], Operations: []
Exploring Operation: 28+37=65, Resulting Numbers: [80, 3, 65]
Generated Node #2: [80, 3, 65] from Operation: 28+37=65
Current State: 12:[80, 3, 65], Operations: ['28+37=65']
Exploring Operation: 80-3=77, Resulting Numbers: [65, 77]
Generated Node #3: [65, 77] from Operation: 80-3=77
Current State: 12:[65, 77], Operations: ['28+37=65', '80-3=77']
Exploring Operation: 77-65=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
80,
45,
4,
8
] | 73 | [
"80/4=20",
"45+8=53",
"20+53=73"
] | Current State: 73:[80, 45, 4, 8], Operations: []
Exploring Operation: 80/4=20, Resulting Numbers: [45, 8, 20]
Generated Node #2: [45, 8, 20] from Operation: 80/4=20
Current State: 73:[45, 8, 20], Operations: ['80/4=20']
Exploring Operation: 45+8=53, Resulting Numbers: [20, 53]
Generated Node #3: [20, 53] from Operation: 45+8=53
Current State: 73:[20, 53], Operations: ['80/4=20', '45+8=53']
Exploring Operation: 20+53=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
45,
35,
51,
62
] | 33 | [
"45+35=80",
"51+62=113",
"113-80=33"
] | Current State: 33:[45, 35, 51, 62], Operations: []
Exploring Operation: 45+35=80, Resulting Numbers: [51, 62, 80]
Generated Node #2: [51, 62, 80] from Operation: 45+35=80
Current State: 33:[51, 62, 80], Operations: ['45+35=80']
Exploring Operation: 51+62=113, Resulting Numbers: [80, 113]
Generated Node #3: [80, 113] from Operation: 51+62=113
Current State: 33:[80, 113], Operations: ['45+35=80', '51+62=113']
Exploring Operation: 113-80=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
81,
27,
96,
28
] | 40 | [
"81+27=108",
"96-28=68",
"108-68=40"
] | Current State: 40:[81, 27, 96, 28], Operations: []
Exploring Operation: 81+27=108, Resulting Numbers: [96, 28, 108]
Generated Node #2: [96, 28, 108] from Operation: 81+27=108
Current State: 40:[96, 28, 108], Operations: ['81+27=108']
Exploring Operation: 96-28=68, Resulting Numbers: [108, 68]
Generated Node #3: [108, 68] from Operation: 96-28=68
Current State: 40:[108, 68], Operations: ['81+27=108', '96-28=68']
Exploring Operation: 108-68=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
23,
17,
3,
56
] | 99 | [
"23+17=40",
"3+56=59",
"40+59=99"
] | Current State: 99:[23, 17, 3, 56], Operations: []
Exploring Operation: 23+17=40, Resulting Numbers: [3, 56, 40]
Generated Node #2: [3, 56, 40] from Operation: 23+17=40
Current State: 99:[3, 56, 40], Operations: ['23+17=40']
Exploring Operation: 3+56=59, Resulting Numbers: [40, 59]
Generated Node #3: [40, 59] from Operation: 3+56=59
Current State: 99:[40, 59], Operations: ['23+17=40', '3+56=59']
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
17,
4,
80
] | 68 | [
"51/17=3",
"4*3=12",
"80-12=68"
] | Current State: 68:[51, 17, 4, 80], Operations: []
Exploring Operation: 51/17=3, Resulting Numbers: [4, 80, 3]
Generated Node #2: [4, 80, 3] from Operation: 51/17=3
Current State: 68:[4, 80, 3], Operations: ['51/17=3']
Exploring Operation: 4*3=12, Resulting Numbers: [80, 12]
Generated Node #3: [80, 12] from Operation: 4*3=12
Current State: 68:[80, 12], Operations: ['51/17=3', '4*3=12']
Exploring Operation: 80-12=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
32,
4,
53,
40
] | 11 | [
"53-32=21",
"40/4=10",
"21-10=11"
] | Current State: 11:[32, 4, 53, 40], Operations: []
Exploring Operation: 53-32=21, Resulting Numbers: [4, 40, 21]
Generated Node #2: [4, 40, 21] from Operation: 53-32=21
Current State: 11:[4, 40, 21], Operations: ['53-32=21']
Exploring Operation: 40/4=10, Resulting Numbers: [21, 10]
Generated Node #3: [21, 10] from Operation: 40/4=10
Current State: 11:[21, 10], Operations: ['53-32=21', '40/4=10']
Exploring Operation: 21-10=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
16,
13,
2
] | 36 | [
"54*2=108",
"16-13=3",
"108/3=36"
] | Current State: 36:[54, 16, 13, 2], Operations: []
Exploring Operation: 54*2=108, Resulting Numbers: [16, 13, 108]
Generated Node #2: [16, 13, 108] from Operation: 54*2=108
Current State: 36:[16, 13, 108], Operations: ['54*2=108']
Exploring Operation: 16-13=3, Resulting Numbers: [108, 3]
Generated Node #3: [108, 3] from Operation: 16-13=3
Current State: 36:[108, 3], Operations: ['54*2=108', '16-13=3']
Exploring Operation: 108/3=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
60,
98,
20,
13
] | 74 | [
"60*20=1200",
"98*13=1274",
"1274-1200=74"
] | Current State: 74:[60, 98, 20, 13], Operations: []
Exploring Operation: 60*20=1200, Resulting Numbers: [98, 13, 1200]
Generated Node #2: [98, 13, 1200] from Operation: 60*20=1200
Current State: 74:[98, 13, 1200], Operations: ['60*20=1200']
Exploring Operation: 98*13=1274, Resulting Numbers: [1200, 1274]
Generated Node #3: [1200, 1274] from Operation: 98*13=1274
Current State: 74:[1200, 1274], Operations: ['60*20=1200', '98*13=1274']
Exploring Operation: 1274-1200=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
56,
3,
44,
58
] | 39 | [
"56-3=53",
"58-44=14",
"53-14=39"
] | Current State: 39:[56, 3, 44, 58], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [44, 58, 53]
Generated Node #2: [44, 58, 53] from Operation: 56-3=53
Current State: 39:[44, 58, 53], Operations: ['56-3=53']
Exploring Operation: 58-44=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 58-44=14
Current State: 39:[53, 14], Operations: ['56-3=53', '58-44=14']
Exploring Operation: 53-14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
51,
44,
26,
33
] | 52 | [
"51-44=7",
"26+33=59",
"59-7=52"
] | Current State: 52:[51, 44, 26, 33], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [26, 33, 7]
Generated Node #2: [26, 33, 7] from Operation: 51-44=7
Current State: 52:[26, 33, 7], Operations: ['51-44=7']
Exploring Operation: 26+33=59, Resulting Numbers: [7, 59]
Generated Node #3: [7, 59] from Operation: 26+33=59
Current State: 52:[7, 59], Operations: ['51-44=7', '26+33=59']
Exploring Operation: 59-7=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
17,
64,
20,
38
] | 29 | [
"64-17=47",
"38-20=18",
"47-18=29"
] | Current State: 29:[17, 64, 20, 38], Operations: []
Exploring Operation: 64-17=47, Resulting Numbers: [20, 38, 47]
Generated Node #2: [20, 38, 47] from Operation: 64-17=47
Current State: 29:[20, 38, 47], Operations: ['64-17=47']
Exploring Operation: 38-20=18, Resulting Numbers: [47, 18]
Generated Node #3: [47, 18] from Operation: 38-20=18
Current State: 29:[47, 18], Operations: ['64-17=47', '38-20=18']
Exploring Operation: 47-18=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
35,
39,
9
] | 84 | [
"12+9=21",
"39-35=4",
"21*4=84"
] | Current State: 84:[12, 35, 39, 9], Operations: []
Exploring Operation: 12+9=21, Resulting Numbers: [35, 39, 21]
Generated Node #2: [35, 39, 21] from Operation: 12+9=21
Current State: 84:[35, 39, 21], Operations: ['12+9=21']
Exploring Operation: 39-35=4, Resulting Numbers: [21, 4]
Generated Node #3: [21, 4] from Operation: 39-35=4
Current State: 84:[21, 4], Operations: ['12+9=21', '39-35=4']
Exploring Operation: 21*4=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
23,
15,
92,
23
] | 83 | [
"92/23=4",
"15*4=60",
"23+60=83"
] | Current State: 83:[23, 15, 92, 23], Operations: []
Exploring Operation: 92/23=4, Resulting Numbers: [15, 4]
Generated Node #2: [15, 4] from Operation: 92/23=4
Current State: 83:[15, 4], Operations: ['92/23=4']
Exploring Operation: 15*4=60, Resulting Numbers: [60]
60,83 equal: Goal Reached
Exploring Operation: 23+60=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
11,
17,
7,
66
] | 67 | [
"17-11=6",
"7+66=73",
"73-6=67"
] | Current State: 67:[11, 17, 7, 66], Operations: []
Exploring Operation: 17-11=6, Resulting Numbers: [7, 66, 6]
Generated Node #2: [7, 66, 6] from Operation: 17-11=6
Current State: 67:[7, 66, 6], Operations: ['17-11=6']
Exploring Operation: 7+66=73, Resulting Numbers: [6, 73]
Generated Node #3: [6, 73] from Operation: 7+66=73
Current State: 67:[6, 73], Operations: ['17-11=6', '7+66=73']
Exploring Operation: 73-6=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
64,
2,
9,
48
] | 49 | [
"64+9=73",
"48/2=24",
"73-24=49"
] | Current State: 49:[64, 2, 9, 48], Operations: []
Exploring Operation: 64+9=73, Resulting Numbers: [2, 48, 73]
Generated Node #2: [2, 48, 73] from Operation: 64+9=73
Current State: 49:[2, 48, 73], Operations: ['64+9=73']
Exploring Operation: 48/2=24, Resulting Numbers: [73, 24]
Generated Node #3: [73, 24] from Operation: 48/2=24
Current State: 49:[73, 24], Operations: ['64+9=73', '48/2=24']
Exploring Operation: 73-24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
33,
48,
70,
11
] | 19 | [
"33/11=3",
"70-48=22",
"22-3=19"
] | Current State: 19:[33, 48, 70, 11], Operations: []
Exploring Operation: 33/11=3, Resulting Numbers: [48, 70, 3]
Generated Node #2: [48, 70, 3] from Operation: 33/11=3
Current State: 19:[48, 70, 3], Operations: ['33/11=3']
Exploring Operation: 70-48=22, Resulting Numbers: [3, 22]
Generated Node #3: [3, 22] from Operation: 70-48=22
Current State: 19:[3, 22], Operations: ['33/11=3', '70-48=22']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
36,
70,
30,
77
] | 59 | [
"36+70=106",
"77-30=47",
"106-47=59"
] | Current State: 59:[36, 70, 30, 77], Operations: []
Exploring Operation: 36+70=106, Resulting Numbers: [30, 77, 106]
Generated Node #2: [30, 77, 106] from Operation: 36+70=106
Current State: 59:[30, 77, 106], Operations: ['36+70=106']
Exploring Operation: 77-30=47, Resulting Numbers: [106, 47]
Generated Node #3: [106, 47] from Operation: 77-30=47
Current State: 59:[106, 47], Operations: ['36+70=106', '77-30=47']
Exploring Operation: 106-47=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
84,
23,
3,
9
] | 34 | [
"84-23=61",
"3*9=27",
"61-27=34"
] | Current State: 34:[84, 23, 3, 9], Operations: []
Exploring Operation: 84-23=61, Resulting Numbers: [3, 9, 61]
Generated Node #2: [3, 9, 61] from Operation: 84-23=61
Current State: 34:[3, 9, 61], Operations: ['84-23=61']
Exploring Operation: 3*9=27, Resulting Numbers: [61, 27]
Generated Node #3: [61, 27] from Operation: 3*9=27
Current State: 34:[61, 27], Operations: ['84-23=61', '3*9=27']
Exploring Operation: 61-27=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
6,
55,
24,
73
] | 16 | [
"6*24=144",
"55+73=128",
"144-128=16"
] | Current State: 16:[6, 55, 24, 73], Operations: []
Exploring Operation: 6*24=144, Resulting Numbers: [55, 73, 144]
Generated Node #2: [55, 73, 144] from Operation: 6*24=144
Current State: 16:[55, 73, 144], Operations: ['6*24=144']
Exploring Operation: 55+73=128, Resulting Numbers: [144, 128]
Generated Node #3: [144, 128] from Operation: 55+73=128
Current State: 16:[144, 128], Operations: ['6*24=144', '55+73=128']
Exploring Operation: 144-128=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
21,
2,
24,
62
] | 63 | [
"21+2=23",
"24+62=86",
"86-23=63"
] | Current State: 63:[21, 2, 24, 62], Operations: []
Exploring Operation: 21+2=23, Resulting Numbers: [24, 62, 23]
Generated Node #2: [24, 62, 23] from Operation: 21+2=23
Current State: 63:[24, 62, 23], Operations: ['21+2=23']
Exploring Operation: 24+62=86, Resulting Numbers: [23, 86]
Generated Node #3: [23, 86] from Operation: 24+62=86
Current State: 63:[23, 86], Operations: ['21+2=23', '24+62=86']
Exploring Operation: 86-23=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
39,
25,
87,
84
] | 93 | [
"39-25=14",
"84/14=6",
"87+6=93"
] | Current State: 93:[39, 25, 87, 84], Operations: []
Exploring Operation: 39-25=14, Resulting Numbers: [87, 84, 14]
Generated Node #2: [87, 84, 14] from Operation: 39-25=14
Current State: 93:[87, 84, 14], Operations: ['39-25=14']
Exploring Operation: 84/14=6, Resulting Numbers: [87, 6]
Generated Node #3: [87, 6] from Operation: 84/14=6
Current State: 93:[87, 6], Operations: ['39-25=14', '84/14=6']
Exploring Operation: 87+6=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
59,
54,
95,
89
] | 68 | [
"95-89=6",
"54/6=9",
"59+9=68"
] | Current State: 68:[59, 54, 95, 89], Operations: []
Exploring Operation: 95-89=6, Resulting Numbers: [59, 54, 6]
Generated Node #2: [59, 54, 6] from Operation: 95-89=6
Current State: 68:[59, 54, 6], Operations: ['95-89=6']
Exploring Operation: 54/6=9, Resulting Numbers: [59, 9]
Generated Node #3: [59, 9] from Operation: 54/6=9
Current State: 68:[59, 9], Operations: ['95-89=6', '54/6=9']
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
13,
10,
78,
74
] | 48 | [
"13-10=3",
"78/3=26",
"74-26=48"
] | Current State: 48:[13, 10, 78, 74], Operations: []
Exploring Operation: 13-10=3, Resulting Numbers: [78, 74, 3]
Generated Node #2: [78, 74, 3] from Operation: 13-10=3
Current State: 48:[78, 74, 3], Operations: ['13-10=3']
Exploring Operation: 78/3=26, Resulting Numbers: [74, 26]
Generated Node #3: [74, 26] from Operation: 78/3=26
Current State: 48:[74, 26], Operations: ['13-10=3', '78/3=26']
Exploring Operation: 74-26=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
6,
10,
26,
51
] | 29 | [
"10-6=4",
"51-26=25",
"4+25=29"
] | Current State: 29:[6, 10, 26, 51], Operations: []
Exploring Operation: 10-6=4, Resulting Numbers: [26, 51, 4]
Generated Node #2: [26, 51, 4] from Operation: 10-6=4
Current State: 29:[26, 51, 4], Operations: ['10-6=4']
Exploring Operation: 51-26=25, Resulting Numbers: [4, 25]
Generated Node #3: [4, 25] from Operation: 51-26=25
Current State: 29:[4, 25], Operations: ['10-6=4', '51-26=25']
Exploring Operation: 4+25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
35,
29,
30,
91
] | 57 | [
"35+29=64",
"30+91=121",
"121-64=57"
] | Current State: 57:[35, 29, 30, 91], Operations: []
Exploring Operation: 35+29=64, Resulting Numbers: [30, 91, 64]
Generated Node #2: [30, 91, 64] from Operation: 35+29=64
Current State: 57:[30, 91, 64], Operations: ['35+29=64']
Exploring Operation: 30+91=121, Resulting Numbers: [64, 121]
Generated Node #3: [64, 121] from Operation: 30+91=121
Current State: 57:[64, 121], Operations: ['35+29=64', '30+91=121']
Exploring Operation: 121-64=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
84,
56,
70,
18
] | 21 | [
"70-56=14",
"18-14=4",
"84/4=21"
] | Current State: 21:[84, 56, 70, 18], Operations: []
Exploring Operation: 70-56=14, Resulting Numbers: [84, 18, 14]
Generated Node #2: [84, 18, 14] from Operation: 70-56=14
Current State: 21:[84, 18, 14], Operations: ['70-56=14']
Exploring Operation: 18-14=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 18-14=4
Current State: 21:[84, 4], Operations: ['70-56=14', '18-14=4']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
84,
98,
84,
15
] | 98 | [
"84-84=0",
"15*0=0",
"98+0=98"
] | Current State: 98:[84, 98, 84, 15], Operations: []
Exploring Operation: 84-84=0, Resulting Numbers: [98, 15, 0]
Generated Node #2: [98, 15, 0] from Operation: 84-84=0
Current State: 98:[98, 15, 0], Operations: ['84-84=0']
Exploring Operation: 15*0=0, Resulting Numbers: [98, 0]
Generated Node #3: [98, 0] from Operation: 15*0=0
Current State: 98:[98, 0], Operations: ['84-84=0', '15*0=0']
Exploring Operation: 98+0=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
12,
73,
17,
24
] | 88 | [
"24/12=2",
"73+17=90",
"90-2=88"
] | Current State: 88:[12, 73, 17, 24], Operations: []
Exploring Operation: 24/12=2, Resulting Numbers: [73, 17, 2]
Generated Node #2: [73, 17, 2] from Operation: 24/12=2
Current State: 88:[73, 17, 2], Operations: ['24/12=2']
Exploring Operation: 73+17=90, Resulting Numbers: [2, 90]
Generated Node #3: [2, 90] from Operation: 73+17=90
Current State: 88:[2, 90], Operations: ['24/12=2', '73+17=90']
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
7,
22,
3,
96
] | 84 | [
"22-7=15",
"3+96=99",
"99-15=84"
] | Current State: 84:[7, 22, 3, 96], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [3, 96, 15]
Generated Node #2: [3, 96, 15] from Operation: 22-7=15
Current State: 84:[3, 96, 15], Operations: ['22-7=15']
Exploring Operation: 3+96=99, Resulting Numbers: [15, 99]
Generated Node #3: [15, 99] from Operation: 3+96=99
Current State: 84:[15, 99], Operations: ['22-7=15', '3+96=99']
Exploring Operation: 99-15=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
38,
45,
86,
76
] | 88 | [
"38*86=3268",
"3268/76=43",
"45+43=88"
] | Current State: 88:[38, 45, 86, 76], Operations: []
Exploring Operation: 38*86=3268, Resulting Numbers: [45, 76, 3268]
Generated Node #2: [45, 76, 3268] from Operation: 38*86=3268
Current State: 88:[45, 76, 3268], Operations: ['38*86=3268']
Exploring Operation: 3268/76=43, Resulting Numbers: [45, 43]
Generated Node #3: [45, 43] from Operation: 3268/76=43
Current State: 88:[45, 43], Operations: ['38*86=3268', '3268/76=43']
Exploring Operation: 45+43=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
95,
31,
61,
33
] | 31 | [
"95-61=34",
"34-33=1",
"31*1=31"
] | Current State: 31:[95, 31, 61, 33], Operations: []
Exploring Operation: 95-61=34, Resulting Numbers: [31, 33, 34]
Generated Node #2: [31, 33, 34] from Operation: 95-61=34
Current State: 31:[31, 33, 34], Operations: ['95-61=34']
Exploring Operation: 34-33=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 34-33=1
Current State: 31:[31, 1], Operations: ['95-61=34', '34-33=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
27,
28,
2,
34
] | 30 | [
"34-28=6",
"6/2=3",
"27+3=30"
] | Current State: 30:[27, 28, 2, 34], Operations: []
Exploring Operation: 34-28=6, Resulting Numbers: [27, 2, 6]
Generated Node #2: [27, 2, 6] from Operation: 34-28=6
Current State: 30:[27, 2, 6], Operations: ['34-28=6']
Exploring Operation: 6/2=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 6/2=3
Current State: 30:[27, 3], Operations: ['34-28=6', '6/2=3']
Exploring Operation: 27+3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
87,
47,
64,
65
] | 39 | [
"87-47=40",
"65-64=1",
"40-1=39"
] | Current State: 39:[87, 47, 64, 65], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [64, 65, 40]
Generated Node #2: [64, 65, 40] from Operation: 87-47=40
Current State: 39:[64, 65, 40], Operations: ['87-47=40']
Exploring Operation: 65-64=1, Resulting Numbers: [40, 1]
Generated Node #3: [40, 1] from Operation: 65-64=1
Current State: 39:[40, 1], Operations: ['87-47=40', '65-64=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
5,
44,
52
] | 30 | [
"2+44=46",
"52-46=6",
"5*6=30"
] | Current State: 30:[2, 5, 44, 52], Operations: []
Exploring Operation: 2+44=46, Resulting Numbers: [5, 52, 46]
Generated Node #2: [5, 52, 46] from Operation: 2+44=46
Current State: 30:[5, 52, 46], Operations: ['2+44=46']
Exploring Operation: 52-46=6, Resulting Numbers: [5, 6]
Generated Node #3: [5, 6] from Operation: 52-46=6
Current State: 30:[5, 6], Operations: ['2+44=46', '52-46=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
22,
95,
12,
14
] | 45 | [
"22-12=10",
"14*10=140",
"140-95=45"
] | Current State: 45:[22, 95, 12, 14], Operations: []
Exploring Operation: 22-12=10, Resulting Numbers: [95, 14, 10]
Generated Node #2: [95, 14, 10] from Operation: 22-12=10
Current State: 45:[95, 14, 10], Operations: ['22-12=10']
Exploring Operation: 14*10=140, Resulting Numbers: [95, 140]
Generated Node #3: [95, 140] from Operation: 14*10=140
Current State: 45:[95, 140], Operations: ['22-12=10', '14*10=140']
Exploring Operation: 140-95=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
3,
48,
93,
33
] | 44 | [
"48/3=16",
"93-33=60",
"60-16=44"
] | Current State: 44:[3, 48, 93, 33], Operations: []
Exploring Operation: 48/3=16, Resulting Numbers: [93, 33, 16]
Generated Node #2: [93, 33, 16] from Operation: 48/3=16
Current State: 44:[93, 33, 16], Operations: ['48/3=16']
Exploring Operation: 93-33=60, Resulting Numbers: [16, 60]
Generated Node #3: [16, 60] from Operation: 93-33=60
Current State: 44:[16, 60], Operations: ['48/3=16', '93-33=60']
Exploring Operation: 60-16=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
55,
72,
54,
27
] | 89 | [
"72*54=3888",
"3888/27=144",
"144-55=89"
] | Current State: 89:[55, 72, 54, 27], Operations: []
Exploring Operation: 72*54=3888, Resulting Numbers: [55, 27, 3888]
Generated Node #2: [55, 27, 3888] from Operation: 72*54=3888
Current State: 89:[55, 27, 3888], Operations: ['72*54=3888']
Exploring Operation: 3888/27=144, Resulting Numbers: [55, 144]
Generated Node #3: [55, 144] from Operation: 3888/27=144
Current State: 89:[55, 144], Operations: ['72*54=3888', '3888/27=144']
Exploring Operation: 144-55=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
6,
81,
31,
83
] | 50 | [
"31-6=25",
"83-81=2",
"25*2=50"
] | Current State: 50:[6, 81, 31, 83], Operations: []
Exploring Operation: 31-6=25, Resulting Numbers: [81, 83, 25]
Generated Node #2: [81, 83, 25] from Operation: 31-6=25
Current State: 50:[81, 83, 25], Operations: ['31-6=25']
Exploring Operation: 83-81=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 83-81=2
Current State: 50:[25, 2], Operations: ['31-6=25', '83-81=2']
Exploring Operation: 25*2=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
31,
39,
40,
48
] | 78 | [
"31+39=70",
"48-40=8",
"70+8=78"
] | Current State: 78:[31, 39, 40, 48], Operations: []
Exploring Operation: 31+39=70, Resulting Numbers: [40, 48, 70]
Generated Node #2: [40, 48, 70] from Operation: 31+39=70
Current State: 78:[40, 48, 70], Operations: ['31+39=70']
Exploring Operation: 48-40=8, Resulting Numbers: [70, 8]
Generated Node #3: [70, 8] from Operation: 48-40=8
Current State: 78:[70, 8], Operations: ['31+39=70', '48-40=8']
Exploring Operation: 70+8=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
7,
60,
94,
98
] | 48 | [
"98/7=14",
"94-60=34",
"14+34=48"
] | Current State: 48:[7, 60, 94, 98], Operations: []
Exploring Operation: 98/7=14, Resulting Numbers: [60, 94, 14]
Generated Node #2: [60, 94, 14] from Operation: 98/7=14
Current State: 48:[60, 94, 14], Operations: ['98/7=14']
Exploring Operation: 94-60=34, Resulting Numbers: [14, 34]
Generated Node #3: [14, 34] from Operation: 94-60=34
Current State: 48:[14, 34], Operations: ['98/7=14', '94-60=34']
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
54,
25,
3,
39
] | 13 | [
"54-25=29",
"3+39=42",
"42-29=13"
] | Current State: 13:[54, 25, 3, 39], Operations: []
Exploring Operation: 54-25=29, Resulting Numbers: [3, 39, 29]
Generated Node #2: [3, 39, 29] from Operation: 54-25=29
Current State: 13:[3, 39, 29], Operations: ['54-25=29']
Exploring Operation: 3+39=42, Resulting Numbers: [29, 42]
Generated Node #3: [29, 42] from Operation: 3+39=42
Current State: 13:[29, 42], Operations: ['54-25=29', '3+39=42']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
65,
15,
60,
24
] | 41 | [
"65*24=1560",
"1560/60=26",
"15+26=41"
] | Current State: 41:[65, 15, 60, 24], Operations: []
Exploring Operation: 65*24=1560, Resulting Numbers: [15, 60, 1560]
Generated Node #2: [15, 60, 1560] from Operation: 65*24=1560
Current State: 41:[15, 60, 1560], Operations: ['65*24=1560']
Exploring Operation: 1560/60=26, Resulting Numbers: [15, 26]
Generated Node #3: [15, 26] from Operation: 1560/60=26
Current State: 41:[15, 26], Operations: ['65*24=1560', '1560/60=26']
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
2,
64,
62,
92
] | 68 | [
"64+62=126",
"126-92=34",
"2*34=68"
] | Current State: 68:[2, 64, 62, 92], Operations: []
Exploring Operation: 64+62=126, Resulting Numbers: [2, 92, 126]
Generated Node #2: [2, 92, 126] from Operation: 64+62=126
Current State: 68:[2, 92, 126], Operations: ['64+62=126']
Exploring Operation: 126-92=34, Resulting Numbers: [2, 34]
Generated Node #3: [2, 34] from Operation: 126-92=34
Current State: 68:[2, 34], Operations: ['64+62=126', '126-92=34']
Exploring Operation: 2*34=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
51,
10,
38
] | 77 | [
"54+51=105",
"38-10=28",
"105-28=77"
] | Current State: 77:[54, 51, 10, 38], Operations: []
Exploring Operation: 54+51=105, Resulting Numbers: [10, 38, 105]
Generated Node #2: [10, 38, 105] from Operation: 54+51=105
Current State: 77:[10, 38, 105], Operations: ['54+51=105']
Exploring Operation: 38-10=28, Resulting Numbers: [105, 28]
Generated Node #3: [105, 28] from Operation: 38-10=28
Current State: 77:[105, 28], Operations: ['54+51=105', '38-10=28']
Exploring Operation: 105-28=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
65,
29,
85,
72
] | 81 | [
"65+29=94",
"85-72=13",
"94-13=81"
] | Current State: 81:[65, 29, 85, 72], Operations: []
Exploring Operation: 65+29=94, Resulting Numbers: [85, 72, 94]
Generated Node #2: [85, 72, 94] from Operation: 65+29=94
Current State: 81:[85, 72, 94], Operations: ['65+29=94']
Exploring Operation: 85-72=13, Resulting Numbers: [94, 13]
Generated Node #3: [94, 13] from Operation: 85-72=13
Current State: 81:[94, 13], Operations: ['65+29=94', '85-72=13']
Exploring Operation: 94-13=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
11,
4,
92,
58
] | 41 | [
"11-4=7",
"92-58=34",
"7+34=41"
] | Current State: 41:[11, 4, 92, 58], Operations: []
Exploring Operation: 11-4=7, Resulting Numbers: [92, 58, 7]
Generated Node #2: [92, 58, 7] from Operation: 11-4=7
Current State: 41:[92, 58, 7], Operations: ['11-4=7']
Exploring Operation: 92-58=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 92-58=34
Current State: 41:[7, 34], Operations: ['11-4=7', '92-58=34']
Exploring Operation: 7+34=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
82,
76,
16,
32
] | 79 | [
"82+76=158",
"32/16=2",
"158/2=79"
] | Current State: 79:[82, 76, 16, 32], Operations: []
Exploring Operation: 82+76=158, Resulting Numbers: [16, 32, 158]
Generated Node #2: [16, 32, 158] from Operation: 82+76=158
Current State: 79:[16, 32, 158], Operations: ['82+76=158']
Exploring Operation: 32/16=2, Resulting Numbers: [158, 2]
Generated Node #3: [158, 2] from Operation: 32/16=2
Current State: 79:[158, 2], Operations: ['82+76=158', '32/16=2']
Exploring Operation: 158/2=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
36,
24,
42,
53
] | 57 | [
"42-36=6",
"24/6=4",
"53+4=57"
] | Current State: 57:[36, 24, 42, 53], Operations: []
Exploring Operation: 42-36=6, Resulting Numbers: [24, 53, 6]
Generated Node #2: [24, 53, 6] from Operation: 42-36=6
Current State: 57:[24, 53, 6], Operations: ['42-36=6']
Exploring Operation: 24/6=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 24/6=4
Current State: 57:[53, 4], Operations: ['42-36=6', '24/6=4']
Exploring Operation: 53+4=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
69,
20,
53,
55
] | 25 | [
"69*20=1380",
"1380-55=1325",
"1325/53=25"
] | Current State: 25:[69, 20, 53, 55], Operations: []
Exploring Operation: 69*20=1380, Resulting Numbers: [53, 55, 1380]
Generated Node #2: [53, 55, 1380] from Operation: 69*20=1380
Current State: 25:[53, 55, 1380], Operations: ['69*20=1380']
Exploring Operation: 1380-55=1325, Resulting Numbers: [53, 1325]
Generated Node #3: [53, 1325] from Operation: 1380-55=1325
Current State: 25:[53, 1325], Operations: ['69*20=1380', '1380-55=1325']
Exploring Operation: 1325/53=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
26,
29,
68,
18
] | 74 | [
"29-26=3",
"18/3=6",
"68+6=74"
] | Current State: 74:[26, 29, 68, 18], Operations: []
Exploring Operation: 29-26=3, Resulting Numbers: [68, 18, 3]
Generated Node #2: [68, 18, 3] from Operation: 29-26=3
Current State: 74:[68, 18, 3], Operations: ['29-26=3']
Exploring Operation: 18/3=6, Resulting Numbers: [68, 6]
Generated Node #3: [68, 6] from Operation: 18/3=6
Current State: 74:[68, 6], Operations: ['29-26=3', '18/3=6']
Exploring Operation: 68+6=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
63,
49,
11,
85
] | 51 | [
"85-63=22",
"22/11=2",
"49+2=51"
] | Current State: 51:[63, 49, 11, 85], Operations: []
Exploring Operation: 85-63=22, Resulting Numbers: [49, 11, 22]
Generated Node #2: [49, 11, 22] from Operation: 85-63=22
Current State: 51:[49, 11, 22], Operations: ['85-63=22']
Exploring Operation: 22/11=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 22/11=2
Current State: 51:[49, 2], Operations: ['85-63=22', '22/11=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
75,
65,
7,
78
] | 81 | [
"75-65=10",
"78-7=71",
"10+71=81"
] | Current State: 81:[75, 65, 7, 78], Operations: []
Exploring Operation: 75-65=10, Resulting Numbers: [7, 78, 10]
Generated Node #2: [7, 78, 10] from Operation: 75-65=10
Current State: 81:[7, 78, 10], Operations: ['75-65=10']
Exploring Operation: 78-7=71, Resulting Numbers: [10, 71]
Generated Node #3: [10, 71] from Operation: 78-7=71
Current State: 81:[10, 71], Operations: ['75-65=10', '78-7=71']
Exploring Operation: 10+71=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
33,
6,
24,
75
] | 42 | [
"33+75=108",
"108/6=18",
"24+18=42"
] | Current State: 42:[33, 6, 24, 75], Operations: []
Exploring Operation: 33+75=108, Resulting Numbers: [6, 24, 108]
Generated Node #2: [6, 24, 108] from Operation: 33+75=108
Current State: 42:[6, 24, 108], Operations: ['33+75=108']
Exploring Operation: 108/6=18, Resulting Numbers: [24, 18]
Generated Node #3: [24, 18] from Operation: 108/6=18
Current State: 42:[24, 18], Operations: ['33+75=108', '108/6=18']
Exploring Operation: 24+18=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
7,
36,
70,
19
] | 60 | [
"36-7=29",
"70+19=89",
"89-29=60"
] | Current State: 60:[7, 36, 70, 19], Operations: []
Exploring Operation: 36-7=29, Resulting Numbers: [70, 19, 29]
Generated Node #2: [70, 19, 29] from Operation: 36-7=29
Current State: 60:[70, 19, 29], Operations: ['36-7=29']
Exploring Operation: 70+19=89, Resulting Numbers: [29, 89]
Generated Node #3: [29, 89] from Operation: 70+19=89
Current State: 60:[29, 89], Operations: ['36-7=29', '70+19=89']
Exploring Operation: 89-29=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
67,
13,
54,
55
] | 29 | [
"67+13=80",
"54+55=109",
"109-80=29"
] | Current State: 29:[67, 13, 54, 55], Operations: []
Exploring Operation: 67+13=80, Resulting Numbers: [54, 55, 80]
Generated Node #2: [54, 55, 80] from Operation: 67+13=80
Current State: 29:[54, 55, 80], Operations: ['67+13=80']
Exploring Operation: 54+55=109, Resulting Numbers: [80, 109]
Generated Node #3: [80, 109] from Operation: 54+55=109
Current State: 29:[80, 109], Operations: ['67+13=80', '54+55=109']
Exploring Operation: 109-80=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
2,
38,
17,
34
] | 23 | [
"2+38=40",
"34-17=17",
"40-17=23"
] | Current State: 23:[2, 38, 17, 34], Operations: []
Exploring Operation: 2+38=40, Resulting Numbers: [17, 34, 40]
Generated Node #2: [17, 34, 40] from Operation: 2+38=40
Current State: 23:[17, 34, 40], Operations: ['2+38=40']
Exploring Operation: 34-17=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 34-17=17
Current State: 23:[40, 17], Operations: ['2+38=40', '34-17=17']
Exploring Operation: 40-17=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
34,
6,
79,
17
] | 18 | [
"79+17=96",
"96/6=16",
"34-16=18"
] | Current State: 18:[34, 6, 79, 17], Operations: []
Exploring Operation: 79+17=96, Resulting Numbers: [34, 6, 96]
Generated Node #2: [34, 6, 96] from Operation: 79+17=96
Current State: 18:[34, 6, 96], Operations: ['79+17=96']
Exploring Operation: 96/6=16, Resulting Numbers: [34, 16]
Generated Node #3: [34, 16] from Operation: 96/6=16
Current State: 18:[34, 16], Operations: ['79+17=96', '96/6=16']
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
58,
6,
26,
27
] | 60 | [
"58*27=1566",
"1566-6=1560",
"1560/26=60"
] | Current State: 60:[58, 6, 26, 27], Operations: []
Exploring Operation: 58*27=1566, Resulting Numbers: [6, 26, 1566]
Generated Node #2: [6, 26, 1566] from Operation: 58*27=1566
Current State: 60:[6, 26, 1566], Operations: ['58*27=1566']
Exploring Operation: 1566-6=1560, Resulting Numbers: [26, 1560]
Generated Node #3: [26, 1560] from Operation: 1566-6=1560
Current State: 60:[26, 1560], Operations: ['58*27=1566', '1566-6=1560']
Exploring Operation: 1560/26=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
10,
45,
64,
71
] | 28 | [
"45-10=35",
"71-64=7",
"35-7=28"
] | Current State: 28:[10, 45, 64, 71], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [64, 71, 35]
Generated Node #2: [64, 71, 35] from Operation: 45-10=35
Current State: 28:[64, 71, 35], Operations: ['45-10=35']
Exploring Operation: 71-64=7, Resulting Numbers: [35, 7]
Generated Node #3: [35, 7] from Operation: 71-64=7
Current State: 28:[35, 7], Operations: ['45-10=35', '71-64=7']
Exploring Operation: 35-7=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
64,
57,
88,
32
] | 20 | [
"57*32=1824",
"1824-64=1760",
"1760/88=20"
] | Current State: 20:[64, 57, 88, 32], Operations: []
Exploring Operation: 57*32=1824, Resulting Numbers: [64, 88, 1824]
Generated Node #2: [64, 88, 1824] from Operation: 57*32=1824
Current State: 20:[64, 88, 1824], Operations: ['57*32=1824']
Exploring Operation: 1824-64=1760, Resulting Numbers: [88, 1760]
Generated Node #3: [88, 1760] from Operation: 1824-64=1760
Current State: 20:[88, 1760], Operations: ['57*32=1824', '1824-64=1760']
Exploring Operation: 1760/88=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
3,
66,
7,
12
] | 99 | [
"3*7=21",
"66+12=78",
"21+78=99"
] | Current State: 99:[3, 66, 7, 12], Operations: []
Exploring Operation: 3*7=21, Resulting Numbers: [66, 12, 21]
Generated Node #2: [66, 12, 21] from Operation: 3*7=21
Current State: 99:[66, 12, 21], Operations: ['3*7=21']
Exploring Operation: 66+12=78, Resulting Numbers: [21, 78]
Generated Node #3: [21, 78] from Operation: 66+12=78
Current State: 99:[21, 78], Operations: ['3*7=21', '66+12=78']
Exploring Operation: 21+78=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
1,
26,
93,
13
] | 95 | [
"1*26=26",
"26/13=2",
"93+2=95"
] | Current State: 95:[1, 26, 93, 13], Operations: []
Exploring Operation: 1*26=26, Resulting Numbers: [93, 13, 26]
Generated Node #2: [93, 13, 26] from Operation: 1*26=26
Current State: 95:[93, 13, 26], Operations: ['1*26=26']
Exploring Operation: 26/13=2, Resulting Numbers: [93, 2]
Generated Node #3: [93, 2] from Operation: 26/13=2
Current State: 95:[93, 2], Operations: ['1*26=26', '26/13=2']
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
66,
96,
16,
40
] | 51 | [
"66*16=1056",
"1056/96=11",
"40+11=51"
] | Current State: 51:[66, 96, 16, 40], Operations: []
Exploring Operation: 66*16=1056, Resulting Numbers: [96, 40, 1056]
Generated Node #2: [96, 40, 1056] from Operation: 66*16=1056
Current State: 51:[96, 40, 1056], Operations: ['66*16=1056']
Exploring Operation: 1056/96=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 1056/96=11
Current State: 51:[40, 11], Operations: ['66*16=1056', '1056/96=11']
Exploring Operation: 40+11=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
16,
69,
49,
95
] | 60 | [
"49+95=144",
"144/16=9",
"69-9=60"
] | Current State: 60:[16, 69, 49, 95], Operations: []
Exploring Operation: 49+95=144, Resulting Numbers: [16, 69, 144]
Generated Node #2: [16, 69, 144] from Operation: 49+95=144
Current State: 60:[16, 69, 144], Operations: ['49+95=144']
Exploring Operation: 144/16=9, Resulting Numbers: [69, 9]
Generated Node #3: [69, 9] from Operation: 144/16=9
Current State: 60:[69, 9], Operations: ['49+95=144', '144/16=9']
Exploring Operation: 69-9=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
68,
23,
34,
22
] | 47 | [
"68/34=2",
"23+22=45",
"2+45=47"
] | Current State: 47:[68, 23, 34, 22], Operations: []
Exploring Operation: 68/34=2, Resulting Numbers: [23, 22, 2]
Generated Node #2: [23, 22, 2] from Operation: 68/34=2
Current State: 47:[23, 22, 2], Operations: ['68/34=2']
Exploring Operation: 23+22=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 23+22=45
Current State: 47:[2, 45], Operations: ['68/34=2', '23+22=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
81,
88,
66,
32
] | 27 | [
"88-81=7",
"66-32=34",
"34-7=27"
] | Current State: 27:[81, 88, 66, 32], Operations: []
Exploring Operation: 88-81=7, Resulting Numbers: [66, 32, 7]
Generated Node #2: [66, 32, 7] from Operation: 88-81=7
Current State: 27:[66, 32, 7], Operations: ['88-81=7']
Exploring Operation: 66-32=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 66-32=34
Current State: 27:[7, 34], Operations: ['88-81=7', '66-32=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
5,
74,
62,
72
] | 69 | [
"5+74=79",
"72-62=10",
"79-10=69"
] | Current State: 69:[5, 74, 62, 72], Operations: []
Exploring Operation: 5+74=79, Resulting Numbers: [62, 72, 79]
Generated Node #2: [62, 72, 79] from Operation: 5+74=79
Current State: 69:[62, 72, 79], Operations: ['5+74=79']
Exploring Operation: 72-62=10, Resulting Numbers: [79, 10]
Generated Node #3: [79, 10] from Operation: 72-62=10
Current State: 69:[79, 10], Operations: ['5+74=79', '72-62=10']
Exploring Operation: 79-10=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
78,
94,
13,
96
] | 99 | [
"94-78=16",
"96-13=83",
"16+83=99"
] | Current State: 99:[78, 94, 13, 96], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [13, 96, 16]
Generated Node #2: [13, 96, 16] from Operation: 94-78=16
Current State: 99:[13, 96, 16], Operations: ['94-78=16']
Exploring Operation: 96-13=83, Resulting Numbers: [16, 83]
Generated Node #3: [16, 83] from Operation: 96-13=83
Current State: 99:[16, 83], Operations: ['94-78=16', '96-13=83']
Exploring Operation: 16+83=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
94,
7,
29,
3
] | 49 | [
"29*3=87",
"94-87=7",
"7*7=49"
] | Current State: 49:[94, 7, 29, 3], Operations: []
Exploring Operation: 29*3=87, Resulting Numbers: [94, 7, 87]
Generated Node #2: [94, 7, 87] from Operation: 29*3=87
Current State: 49:[94, 7, 87], Operations: ['29*3=87']
Exploring Operation: 94-87=7, Resulting Numbers: [7, 7]
Generated Node #3: [7, 7] from Operation: 94-87=7
Current State: 49:[7, 7], Operations: ['29*3=87', '94-87=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
15,
65,
17
] | 31 | [
"2+15=17",
"65-17=48",
"48-17=31"
] | Current State: 31:[2, 15, 65, 17], Operations: []
Exploring Operation: 2+15=17, Resulting Numbers: [65, 17, 17]
Generated Node #2: [65, 17, 17] from Operation: 2+15=17
Current State: 31:[65, 17, 17], Operations: ['2+15=17']
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,31 equal: Goal Reached
Exploring Operation: 48-17=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
7,
57,
6,
30
] | 10 | [
"57-7=50",
"30/6=5",
"50/5=10"
] | Current State: 10:[7, 57, 6, 30], Operations: []
Exploring Operation: 57-7=50, Resulting Numbers: [6, 30, 50]
Generated Node #2: [6, 30, 50] from Operation: 57-7=50
Current State: 10:[6, 30, 50], Operations: ['57-7=50']
Exploring Operation: 30/6=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 30/6=5
Current State: 10:[50, 5], Operations: ['57-7=50', '30/6=5']
Exploring Operation: 50/5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
19,
75,
3,
47
] | 27 | [
"75-19=56",
"56-47=9",
"3*9=27"
] | Current State: 27:[19, 75, 3, 47], Operations: []
Exploring Operation: 75-19=56, Resulting Numbers: [3, 47, 56]
Generated Node #2: [3, 47, 56] from Operation: 75-19=56
Current State: 27:[3, 47, 56], Operations: ['75-19=56']
Exploring Operation: 56-47=9, Resulting Numbers: [3, 9]
Generated Node #3: [3, 9] from Operation: 56-47=9
Current State: 27:[3, 9], Operations: ['75-19=56', '56-47=9']
Exploring Operation: 3*9=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
49,
70,
33,
61
] | 49 | [
"70-49=21",
"61-33=28",
"21+28=49"
] | Current State: 49:[49, 70, 33, 61], Operations: []
Exploring Operation: 70-49=21, Resulting Numbers: [33, 61, 21]
Generated Node #2: [33, 61, 21] from Operation: 70-49=21
Current State: 49:[33, 61, 21], Operations: ['70-49=21']
Exploring Operation: 61-33=28, Resulting Numbers: [21, 28]
Generated Node #3: [21, 28] from Operation: 61-33=28
Current State: 49:[21, 28], Operations: ['70-49=21', '61-33=28']
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
83,
87,
84,
43
] | 43 | [
"83+87=170",
"84+43=127",
"170-127=43"
] | Current State: 43:[83, 87, 84, 43], Operations: []
Exploring Operation: 83+87=170, Resulting Numbers: [84, 43, 170]
Generated Node #2: [84, 43, 170] from Operation: 83+87=170
Current State: 43:[84, 43, 170], Operations: ['83+87=170']
Exploring Operation: 84+43=127, Resulting Numbers: [170, 127]
Generated Node #3: [170, 127] from Operation: 84+43=127
Current State: 43:[170, 127], Operations: ['83+87=170', '84+43=127']
Exploring Operation: 170-127=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
35,
6,
8
] | 62 | [
"6/3=2",
"35*2=70",
"70-8=62"
] | Current State: 62:[3, 35, 6, 8], Operations: []
Exploring Operation: 6/3=2, Resulting Numbers: [35, 8, 2]
Generated Node #2: [35, 8, 2] from Operation: 6/3=2
Current State: 62:[35, 8, 2], Operations: ['6/3=2']
Exploring Operation: 35*2=70, Resulting Numbers: [8, 70]
Generated Node #3: [8, 70] from Operation: 35*2=70
Current State: 62:[8, 70], Operations: ['6/3=2', '35*2=70']
Exploring Operation: 70-8=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
28,
71,
22,
44
] | 22 | [
"71-28=43",
"44-43=1",
"22*1=22"
] | Current State: 22:[28, 71, 22, 44], Operations: []
Exploring Operation: 71-28=43, Resulting Numbers: [22, 44, 43]
Generated Node #2: [22, 44, 43] from Operation: 71-28=43
Current State: 22:[22, 44, 43], Operations: ['71-28=43']
Exploring Operation: 44-43=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 44-43=1
Current State: 22:[22, 1], Operations: ['71-28=43', '44-43=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
10,
11,
8
] | 25 | [
"54-10=44",
"11+8=19",
"44-19=25"
] | Current State: 25:[54, 10, 11, 8], Operations: []
Exploring Operation: 54-10=44, Resulting Numbers: [11, 8, 44]
Generated Node #2: [11, 8, 44] from Operation: 54-10=44
Current State: 25:[11, 8, 44], Operations: ['54-10=44']
Exploring Operation: 11+8=19, Resulting Numbers: [44, 19]
Generated Node #3: [44, 19] from Operation: 11+8=19
Current State: 25:[44, 19], Operations: ['54-10=44', '11+8=19']
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
12,
58,
9,
9
] | 85 | [
"12-9=3",
"9*3=27",
"58+27=85"
] | Current State: 85:[12, 58, 9, 9], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [58, 3]
Generated Node #2: [58, 3] from Operation: 12-9=3
Current State: 85:[58, 3], Operations: ['12-9=3']
Exploring Operation: 9*3=27, Resulting Numbers: [58, 27]
Generated Node #3: [58, 27] from Operation: 9*3=27
Current State: 85:[58, 27], Operations: ['12-9=3', '9*3=27']
Exploring Operation: 58+27=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
31,
99,
59,
10
] | 81 | [
"31+99=130",
"59-10=49",
"130-49=81"
] | Current State: 81:[31, 99, 59, 10], Operations: []
Exploring Operation: 31+99=130, Resulting Numbers: [59, 10, 130]
Generated Node #2: [59, 10, 130] from Operation: 31+99=130
Current State: 81:[59, 10, 130], Operations: ['31+99=130']
Exploring Operation: 59-10=49, Resulting Numbers: [130, 49]
Generated Node #3: [130, 49] from Operation: 59-10=49
Current State: 81:[130, 49], Operations: ['31+99=130', '59-10=49']
Exploring Operation: 130-49=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
98,
95,
38,
54
] | 95 | [
"98-95=3",
"38+54=92",
"3+92=95"
] | Current State: 95:[98, 95, 38, 54], Operations: []
Exploring Operation: 98-95=3, Resulting Numbers: [38, 54, 3]
Generated Node #2: [38, 54, 3] from Operation: 98-95=3
Current State: 95:[38, 54, 3], Operations: ['98-95=3']
Exploring Operation: 38+54=92, Resulting Numbers: [3, 92]
Generated Node #3: [3, 92] from Operation: 38+54=92
Current State: 95:[3, 92], Operations: ['98-95=3', '38+54=92']
Exploring Operation: 3+92=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
87,
69,
74,
38
] | 94 | [
"87-69=18",
"74+38=112",
"112-18=94"
] | Current State: 94:[87, 69, 74, 38], Operations: []
Exploring Operation: 87-69=18, Resulting Numbers: [74, 38, 18]
Generated Node #2: [74, 38, 18] from Operation: 87-69=18
Current State: 94:[74, 38, 18], Operations: ['87-69=18']
Exploring Operation: 74+38=112, Resulting Numbers: [18, 112]
Generated Node #3: [18, 112] from Operation: 74+38=112
Current State: 94:[18, 112], Operations: ['87-69=18', '74+38=112']
Exploring Operation: 112-18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
11,
98,
63,
60
] | 61 | [
"60-11=49",
"98/49=2",
"63-2=61"
] | Current State: 61:[11, 98, 63, 60], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [98, 63, 49]
Generated Node #2: [98, 63, 49] from Operation: 60-11=49
Current State: 61:[98, 63, 49], Operations: ['60-11=49']
Exploring Operation: 98/49=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 98/49=2
Current State: 61:[63, 2], Operations: ['60-11=49', '98/49=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
45,
9,
25,
70
] | 39 | [
"45/9=5",
"70/5=14",
"25+14=39"
] | Current State: 39:[45, 9, 25, 70], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [25, 70, 5]
Generated Node #2: [25, 70, 5] from Operation: 45/9=5
Current State: 39:[25, 70, 5], Operations: ['45/9=5']
Exploring Operation: 70/5=14, Resulting Numbers: [25, 14]
Generated Node #3: [25, 14] from Operation: 70/5=14
Current State: 39:[25, 14], Operations: ['45/9=5', '70/5=14']
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
2,
78,
26,
81
] | 49 | [
"2*78=156",
"26+81=107",
"156-107=49"
] | Current State: 49:[2, 78, 26, 81], Operations: []
Exploring Operation: 2*78=156, Resulting Numbers: [26, 81, 156]
Generated Node #2: [26, 81, 156] from Operation: 2*78=156
Current State: 49:[26, 81, 156], Operations: ['2*78=156']
Exploring Operation: 26+81=107, Resulting Numbers: [156, 107]
Generated Node #3: [156, 107] from Operation: 26+81=107
Current State: 49:[156, 107], Operations: ['2*78=156', '26+81=107']
Exploring Operation: 156-107=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
80,
21,
12,
32
] | 57 | [
"80+21=101",
"12+32=44",
"101-44=57"
] | Current State: 57:[80, 21, 12, 32], Operations: []
Exploring Operation: 80+21=101, Resulting Numbers: [12, 32, 101]
Generated Node #2: [12, 32, 101] from Operation: 80+21=101
Current State: 57:[12, 32, 101], Operations: ['80+21=101']
Exploring Operation: 12+32=44, Resulting Numbers: [101, 44]
Generated Node #3: [101, 44] from Operation: 12+32=44
Current State: 57:[101, 44], Operations: ['80+21=101', '12+32=44']
Exploring Operation: 101-44=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
91,
23,
23,
81
] | 81 | [
"23-23=0",
"91*0=0",
"81+0=81"
] | Current State: 81:[91, 23, 23, 81], Operations: []
Exploring Operation: 23-23=0, Resulting Numbers: [91, 81, 0]
Generated Node #2: [91, 81, 0] from Operation: 23-23=0
Current State: 81:[91, 81, 0], Operations: ['23-23=0']
Exploring Operation: 91*0=0, Resulting Numbers: [81, 0]
Generated Node #3: [81, 0] from Operation: 91*0=0
Current State: 81:[81, 0], Operations: ['23-23=0', '91*0=0']
Exploring Operation: 81+0=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
27,
86,
32,
3
] | 63 | [
"27/3=9",
"86-32=54",
"9+54=63"
] | Current State: 63:[27, 86, 32, 3], Operations: []
Exploring Operation: 27/3=9, Resulting Numbers: [86, 32, 9]
Generated Node #2: [86, 32, 9] from Operation: 27/3=9
Current State: 63:[86, 32, 9], Operations: ['27/3=9']
Exploring Operation: 86-32=54, Resulting Numbers: [9, 54]
Generated Node #3: [9, 54] from Operation: 86-32=54
Current State: 63:[9, 54], Operations: ['27/3=9', '86-32=54']
Exploring Operation: 9+54=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
46,
44,
39,
50
] | 13 | [
"46-44=2",
"50-39=11",
"2+11=13"
] | Current State: 13:[46, 44, 39, 50], Operations: []
Exploring Operation: 46-44=2, Resulting Numbers: [39, 50, 2]
Generated Node #2: [39, 50, 2] from Operation: 46-44=2
Current State: 13:[39, 50, 2], Operations: ['46-44=2']
Exploring Operation: 50-39=11, Resulting Numbers: [2, 11]
Generated Node #3: [2, 11] from Operation: 50-39=11
Current State: 13:[2, 11], Operations: ['46-44=2', '50-39=11']
Exploring Operation: 2+11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
68,
5,
12,
66
] | 14 | [
"68-66=2",
"12-5=7",
"2*7=14"
] | Current State: 14:[68, 5, 12, 66], Operations: []
Exploring Operation: 68-66=2, Resulting Numbers: [5, 12, 2]
Generated Node #2: [5, 12, 2] from Operation: 68-66=2
Current State: 14:[5, 12, 2], Operations: ['68-66=2']
Exploring Operation: 12-5=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 12-5=7
Current State: 14:[2, 7], Operations: ['68-66=2', '12-5=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
64,
76,
44,
6
] | 42 | [
"76-64=12",
"12/6=2",
"44-2=42"
] | Current State: 42:[64, 76, 44, 6], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [44, 6, 12]
Generated Node #2: [44, 6, 12] from Operation: 76-64=12
Current State: 42:[44, 6, 12], Operations: ['76-64=12']
Exploring Operation: 12/6=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 12/6=2
Current State: 42:[44, 2], Operations: ['76-64=12', '12/6=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
3,
86,
6,
41
] | 12 | [
"3*86=258",
"6*41=246",
"258-246=12"
] | Current State: 12:[3, 86, 6, 41], Operations: []
Exploring Operation: 3*86=258, Resulting Numbers: [6, 41, 258]
Generated Node #2: [6, 41, 258] from Operation: 3*86=258
Current State: 12:[6, 41, 258], Operations: ['3*86=258']
Exploring Operation: 6*41=246, Resulting Numbers: [258, 246]
Generated Node #3: [258, 246] from Operation: 6*41=246
Current State: 12:[258, 246], Operations: ['3*86=258', '6*41=246']
Exploring Operation: 258-246=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
66,
38,
4,
75
] | 82 | [
"66-38=28",
"28/4=7",
"75+7=82"
] | Current State: 82:[66, 38, 4, 75], Operations: []
Exploring Operation: 66-38=28, Resulting Numbers: [4, 75, 28]
Generated Node #2: [4, 75, 28] from Operation: 66-38=28
Current State: 82:[4, 75, 28], Operations: ['66-38=28']
Exploring Operation: 28/4=7, Resulting Numbers: [75, 7]
Generated Node #3: [75, 7] from Operation: 28/4=7
Current State: 82:[75, 7], Operations: ['66-38=28', '28/4=7']
Exploring Operation: 75+7=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
33,
41,
87,
37
] | 32 | [
"37-33=4",
"41+87=128",
"128/4=32"
] | Current State: 32:[33, 41, 87, 37], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [41, 87, 4]
Generated Node #2: [41, 87, 4] from Operation: 37-33=4
Current State: 32:[41, 87, 4], Operations: ['37-33=4']
Exploring Operation: 41+87=128, Resulting Numbers: [4, 128]
Generated Node #3: [4, 128] from Operation: 41+87=128
Current State: 32:[4, 128], Operations: ['37-33=4', '41+87=128']
Exploring Operation: 128/4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
46,
71,
76,
61
] | 69 | [
"46+76=122",
"122/61=2",
"71-2=69"
] | Current State: 69:[46, 71, 76, 61], Operations: []
Exploring Operation: 46+76=122, Resulting Numbers: [71, 61, 122]
Generated Node #2: [71, 61, 122] from Operation: 46+76=122
Current State: 69:[71, 61, 122], Operations: ['46+76=122']
Exploring Operation: 122/61=2, Resulting Numbers: [71, 2]
Generated Node #3: [71, 2] from Operation: 122/61=2
Current State: 69:[71, 2], Operations: ['46+76=122', '122/61=2']
Exploring Operation: 71-2=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
25,
32,
95,
92
] | 10 | [
"32-25=7",
"95-92=3",
"7+3=10"
] | Current State: 10:[25, 32, 95, 92], Operations: []
Exploring Operation: 32-25=7, Resulting Numbers: [95, 92, 7]
Generated Node #2: [95, 92, 7] from Operation: 32-25=7
Current State: 10:[95, 92, 7], Operations: ['32-25=7']
Exploring Operation: 95-92=3, Resulting Numbers: [7, 3]
Generated Node #3: [7, 3] from Operation: 95-92=3
Current State: 10:[7, 3], Operations: ['32-25=7', '95-92=3']
Exploring Operation: 7+3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
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