nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
21,
7,
63,
79
] | 24 | [
"63/21=3",
"79-7=72",
"72/3=24"
] | Current State: 24:[21, 7, 63, 79], Operations: []
Exploring Operation: 63/21=3, Resulting Numbers: [7, 79, 3]
Generated Node #2: [7, 79, 3] from Operation: 63/21=3
Current State: 24:[7, 79, 3], Operations: ['63/21=3']
Exploring Operation: 79-7=72, Resulting Numbers: [3, 72]
Generated Node #3: [3, 72] from Operation: 79-7=72
Current State: 24:[3, 72], Operations: ['63/21=3', '79-7=72']
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
68,
31,
44,
21
] | 76 | [
"68+31=99",
"44-21=23",
"99-23=76"
] | Current State: 76:[68, 31, 44, 21], Operations: []
Exploring Operation: 68+31=99, Resulting Numbers: [44, 21, 99]
Generated Node #2: [44, 21, 99] from Operation: 68+31=99
Current State: 76:[44, 21, 99], Operations: ['68+31=99']
Exploring Operation: 44-21=23, Resulting Numbers: [99, 23]
Generated Node #3: [99, 23] from Operation: 44-21=23
Current State: 76:[99, 23], Operations: ['68+31=99', '44-21=23']
Exploring Operation: 99-23=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
25,
13,
7,
24
] | 55 | [
"25+13=38",
"24-7=17",
"38+17=55"
] | Current State: 55:[25, 13, 7, 24], Operations: []
Exploring Operation: 25+13=38, Resulting Numbers: [7, 24, 38]
Generated Node #2: [7, 24, 38] from Operation: 25+13=38
Current State: 55:[7, 24, 38], Operations: ['25+13=38']
Exploring Operation: 24-7=17, Resulting Numbers: [38, 17]
Generated Node #3: [38, 17] from Operation: 24-7=17
Current State: 55:[38, 17], Operations: ['25+13=38', '24-7=17']
Exploring Operation: 38+17=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
19,
70,
21,
12
] | 67 | [
"19-12=7",
"21/7=3",
"70-3=67"
] | Current State: 67:[19, 70, 21, 12], Operations: []
Exploring Operation: 19-12=7, Resulting Numbers: [70, 21, 7]
Generated Node #2: [70, 21, 7] from Operation: 19-12=7
Current State: 67:[70, 21, 7], Operations: ['19-12=7']
Exploring Operation: 21/7=3, Resulting Numbers: [70, 3]
Generated Node #3: [70, 3] from Operation: 21/7=3
Current State: 67:[70, 3], Operations: ['19-12=7', '21/7=3']
Exploring Operation: 70-3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
6,
13,
83,
4
] | 86 | [
"13-6=7",
"83-4=79",
"7+79=86"
] | Current State: 86:[6, 13, 83, 4], Operations: []
Exploring Operation: 13-6=7, Resulting Numbers: [83, 4, 7]
Generated Node #2: [83, 4, 7] from Operation: 13-6=7
Current State: 86:[83, 4, 7], Operations: ['13-6=7']
Exploring Operation: 83-4=79, Resulting Numbers: [7, 79]
Generated Node #3: [7, 79] from Operation: 83-4=79
Current State: 86:[7, 79], Operations: ['13-6=7', '83-4=79']
Exploring Operation: 7+79=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
64,
39,
4,
42
] | 58 | [
"64-39=25",
"4*25=100",
"100-42=58"
] | Current State: 58:[64, 39, 4, 42], Operations: []
Exploring Operation: 64-39=25, Resulting Numbers: [4, 42, 25]
Generated Node #2: [4, 42, 25] from Operation: 64-39=25
Current State: 58:[4, 42, 25], Operations: ['64-39=25']
Exploring Operation: 4*25=100, Resulting Numbers: [42, 100]
Generated Node #3: [42, 100] from Operation: 4*25=100
Current State: 58:[42, 100], Operations: ['64-39=25', '4*25=100']
Exploring Operation: 100-42=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
21,
40,
11,
10
] | 99 | [
"40-21=19",
"19-10=9",
"11*9=99"
] | Current State: 99:[21, 40, 11, 10], Operations: []
Exploring Operation: 40-21=19, Resulting Numbers: [11, 10, 19]
Generated Node #2: [11, 10, 19] from Operation: 40-21=19
Current State: 99:[11, 10, 19], Operations: ['40-21=19']
Exploring Operation: 19-10=9, Resulting Numbers: [11, 9]
Generated Node #3: [11, 9] from Operation: 19-10=9
Current State: 99:[11, 9], Operations: ['40-21=19', '19-10=9']
Exploring Operation: 11*9=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
33,
34,
25,
47
] | 51 | [
"33*34=1122",
"47-25=22",
"1122/22=51"
] | Current State: 51:[33, 34, 25, 47], Operations: []
Exploring Operation: 33*34=1122, Resulting Numbers: [25, 47, 1122]
Generated Node #2: [25, 47, 1122] from Operation: 33*34=1122
Current State: 51:[25, 47, 1122], Operations: ['33*34=1122']
Exploring Operation: 47-25=22, Resulting Numbers: [1122, 22]
Generated Node #3: [1122, 22] from Operation: 47-25=22
Current State: 51:[1122, 22], Operations: ['33*34=1122', '47-25=22']
Exploring Operation: 1122/22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
1,
11,
5
] | 50 | [
"2-1=1",
"11-1=10",
"5*10=50"
] | Current State: 50:[2, 1, 11, 5], Operations: []
Exploring Operation: 2-1=1, Resulting Numbers: [11, 5, 1]
Generated Node #2: [11, 5, 1] from Operation: 2-1=1
Current State: 50:[11, 5, 1], Operations: ['2-1=1']
Exploring Operation: 11-1=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 11-1=10
Current State: 50:[5, 10], Operations: ['2-1=1', '11-1=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
66,
28,
23,
2
] | 28 | [
"66/2=33",
"28-23=5",
"33-5=28"
] | Current State: 28:[66, 28, 23, 2], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [28, 23, 33]
Generated Node #2: [28, 23, 33] from Operation: 66/2=33
Current State: 28:[28, 23, 33], Operations: ['66/2=33']
Exploring Operation: 28-23=5, Resulting Numbers: [33, 5]
Generated Node #3: [33, 5] from Operation: 28-23=5
Current State: 28:[33, 5], Operations: ['66/2=33', '28-23=5']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
74,
17,
21,
23
] | 59 | [
"74-17=57",
"23-21=2",
"57+2=59"
] | Current State: 59:[74, 17, 21, 23], Operations: []
Exploring Operation: 74-17=57, Resulting Numbers: [21, 23, 57]
Generated Node #2: [21, 23, 57] from Operation: 74-17=57
Current State: 59:[21, 23, 57], Operations: ['74-17=57']
Exploring Operation: 23-21=2, Resulting Numbers: [57, 2]
Generated Node #3: [57, 2] from Operation: 23-21=2
Current State: 59:[57, 2], Operations: ['74-17=57', '23-21=2']
Exploring Operation: 57+2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
7,
80,
96,
12
] | 17 | [
"80*12=960",
"960/96=10",
"7+10=17"
] | Current State: 17:[7, 80, 96, 12], Operations: []
Exploring Operation: 80*12=960, Resulting Numbers: [7, 96, 960]
Generated Node #2: [7, 96, 960] from Operation: 80*12=960
Current State: 17:[7, 96, 960], Operations: ['80*12=960']
Exploring Operation: 960/96=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 960/96=10
Current State: 17:[7, 10], Operations: ['80*12=960', '960/96=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
16,
2,
85
] | 99 | [
"23*16=368",
"368/2=184",
"184-85=99"
] | Current State: 99:[23, 16, 2, 85], Operations: []
Exploring Operation: 23*16=368, Resulting Numbers: [2, 85, 368]
Generated Node #2: [2, 85, 368] from Operation: 23*16=368
Current State: 99:[2, 85, 368], Operations: ['23*16=368']
Exploring Operation: 368/2=184, Resulting Numbers: [85, 184]
Generated Node #3: [85, 184] from Operation: 368/2=184
Current State: 99:[85, 184], Operations: ['23*16=368', '368/2=184']
Exploring Operation: 184-85=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
49,
3,
6,
54
] | 25 | [
"49-6=43",
"54/3=18",
"43-18=25"
] | Current State: 25:[49, 3, 6, 54], Operations: []
Exploring Operation: 49-6=43, Resulting Numbers: [3, 54, 43]
Generated Node #2: [3, 54, 43] from Operation: 49-6=43
Current State: 25:[3, 54, 43], Operations: ['49-6=43']
Exploring Operation: 54/3=18, Resulting Numbers: [43, 18]
Generated Node #3: [43, 18] from Operation: 54/3=18
Current State: 25:[43, 18], Operations: ['49-6=43', '54/3=18']
Exploring Operation: 43-18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
6,
62,
88,
56
] | 24 | [
"62-6=56",
"88-56=32",
"56-32=24"
] | Current State: 24:[6, 62, 88, 56], Operations: []
Exploring Operation: 62-6=56, Resulting Numbers: [88, 56, 56]
Generated Node #2: [88, 56, 56] from Operation: 62-6=56
Current State: 24:[88, 56, 56], Operations: ['62-6=56']
Exploring Operation: 88-56=32, Resulting Numbers: [32]
32,24 equal: Goal Reached
Exploring Operation: 56-32=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
19,
8,
22,
33
] | 19 | [
"19-8=11",
"33/11=3",
"22-3=19"
] | Current State: 19:[19, 8, 22, 33], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [22, 33, 11]
Generated Node #2: [22, 33, 11] from Operation: 19-8=11
Current State: 19:[22, 33, 11], Operations: ['19-8=11']
Exploring Operation: 33/11=3, Resulting Numbers: [22, 3]
Generated Node #3: [22, 3] from Operation: 33/11=3
Current State: 19:[22, 3], Operations: ['19-8=11', '33/11=3']
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
30,
32,
7,
17
] | 59 | [
"30-17=13",
"7*13=91",
"91-32=59"
] | Current State: 59:[30, 32, 7, 17], Operations: []
Exploring Operation: 30-17=13, Resulting Numbers: [32, 7, 13]
Generated Node #2: [32, 7, 13] from Operation: 30-17=13
Current State: 59:[32, 7, 13], Operations: ['30-17=13']
Exploring Operation: 7*13=91, Resulting Numbers: [32, 91]
Generated Node #3: [32, 91] from Operation: 7*13=91
Current State: 59:[32, 91], Operations: ['30-17=13', '7*13=91']
Exploring Operation: 91-32=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
44,
42,
66,
48
] | 76 | [
"44*42=1848",
"1848/66=28",
"48+28=76"
] | Current State: 76:[44, 42, 66, 48], Operations: []
Exploring Operation: 44*42=1848, Resulting Numbers: [66, 48, 1848]
Generated Node #2: [66, 48, 1848] from Operation: 44*42=1848
Current State: 76:[66, 48, 1848], Operations: ['44*42=1848']
Exploring Operation: 1848/66=28, Resulting Numbers: [48, 28]
Generated Node #3: [48, 28] from Operation: 1848/66=28
Current State: 76:[48, 28], Operations: ['44*42=1848', '1848/66=28']
Exploring Operation: 48+28=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
24,
28,
87,
40
] | 97 | [
"28-24=4",
"40/4=10",
"87+10=97"
] | Current State: 97:[24, 28, 87, 40], Operations: []
Exploring Operation: 28-24=4, Resulting Numbers: [87, 40, 4]
Generated Node #2: [87, 40, 4] from Operation: 28-24=4
Current State: 97:[87, 40, 4], Operations: ['28-24=4']
Exploring Operation: 40/4=10, Resulting Numbers: [87, 10]
Generated Node #3: [87, 10] from Operation: 40/4=10
Current State: 97:[87, 10], Operations: ['28-24=4', '40/4=10']
Exploring Operation: 87+10=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
32,
60,
20,
15
] | 69 | [
"32+60=92",
"15*92=1380",
"1380/20=69"
] | Current State: 69:[32, 60, 20, 15], Operations: []
Exploring Operation: 32+60=92, Resulting Numbers: [20, 15, 92]
Generated Node #2: [20, 15, 92] from Operation: 32+60=92
Current State: 69:[20, 15, 92], Operations: ['32+60=92']
Exploring Operation: 15*92=1380, Resulting Numbers: [20, 1380]
Generated Node #3: [20, 1380] from Operation: 15*92=1380
Current State: 69:[20, 1380], Operations: ['32+60=92', '15*92=1380']
Exploring Operation: 1380/20=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
62,
57,
23,
59
] | 77 | [
"62-57=5",
"23+59=82",
"82-5=77"
] | Current State: 77:[62, 57, 23, 59], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [23, 59, 5]
Generated Node #2: [23, 59, 5] from Operation: 62-57=5
Current State: 77:[23, 59, 5], Operations: ['62-57=5']
Exploring Operation: 23+59=82, Resulting Numbers: [5, 82]
Generated Node #3: [5, 82] from Operation: 23+59=82
Current State: 77:[5, 82], Operations: ['62-57=5', '23+59=82']
Exploring Operation: 82-5=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
63,
20,
66,
6
] | 22 | [
"66-63=3",
"6/3=2",
"20+2=22"
] | Current State: 22:[63, 20, 66, 6], Operations: []
Exploring Operation: 66-63=3, Resulting Numbers: [20, 6, 3]
Generated Node #2: [20, 6, 3] from Operation: 66-63=3
Current State: 22:[20, 6, 3], Operations: ['66-63=3']
Exploring Operation: 6/3=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 6/3=2
Current State: 22:[20, 2], Operations: ['66-63=3', '6/3=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
6,
36,
18,
90
] | 81 | [
"36+18=54",
"54/6=9",
"90-9=81"
] | Current State: 81:[6, 36, 18, 90], Operations: []
Exploring Operation: 36+18=54, Resulting Numbers: [6, 90, 54]
Generated Node #2: [6, 90, 54] from Operation: 36+18=54
Current State: 81:[6, 90, 54], Operations: ['36+18=54']
Exploring Operation: 54/6=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 54/6=9
Current State: 81:[90, 9], Operations: ['36+18=54', '54/6=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
4,
3,
82,
88
] | 90 | [
"4*88=352",
"352-82=270",
"270/3=90"
] | Current State: 90:[4, 3, 82, 88], Operations: []
Exploring Operation: 4*88=352, Resulting Numbers: [3, 82, 352]
Generated Node #2: [3, 82, 352] from Operation: 4*88=352
Current State: 90:[3, 82, 352], Operations: ['4*88=352']
Exploring Operation: 352-82=270, Resulting Numbers: [3, 270]
Generated Node #3: [3, 270] from Operation: 352-82=270
Current State: 90:[3, 270], Operations: ['4*88=352', '352-82=270']
Exploring Operation: 270/3=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
7,
15,
12,
66
] | 100 | [
"7+15=22",
"12+66=78",
"22+78=100"
] | Current State: 100:[7, 15, 12, 66], Operations: []
Exploring Operation: 7+15=22, Resulting Numbers: [12, 66, 22]
Generated Node #2: [12, 66, 22] from Operation: 7+15=22
Current State: 100:[12, 66, 22], Operations: ['7+15=22']
Exploring Operation: 12+66=78, Resulting Numbers: [22, 78]
Generated Node #3: [22, 78] from Operation: 12+66=78
Current State: 100:[22, 78], Operations: ['7+15=22', '12+66=78']
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
10,
62,
36,
12
] | 30 | [
"10+62=72",
"72/12=6",
"36-6=30"
] | Current State: 30:[10, 62, 36, 12], Operations: []
Exploring Operation: 10+62=72, Resulting Numbers: [36, 12, 72]
Generated Node #2: [36, 12, 72] from Operation: 10+62=72
Current State: 30:[36, 12, 72], Operations: ['10+62=72']
Exploring Operation: 72/12=6, Resulting Numbers: [36, 6]
Generated Node #3: [36, 6] from Operation: 72/12=6
Current State: 30:[36, 6], Operations: ['10+62=72', '72/12=6']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
72,
84,
24,
66
] | 80 | [
"72-66=6",
"24/6=4",
"84-4=80"
] | Current State: 80:[72, 84, 24, 66], Operations: []
Exploring Operation: 72-66=6, Resulting Numbers: [84, 24, 6]
Generated Node #2: [84, 24, 6] from Operation: 72-66=6
Current State: 80:[84, 24, 6], Operations: ['72-66=6']
Exploring Operation: 24/6=4, Resulting Numbers: [84, 4]
Generated Node #3: [84, 4] from Operation: 24/6=4
Current State: 80:[84, 4], Operations: ['72-66=6', '24/6=4']
Exploring Operation: 84-4=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
7,
26,
20,
23
] | 46 | [
"20-7=13",
"26*23=598",
"598/13=46"
] | Current State: 46:[7, 26, 20, 23], Operations: []
Exploring Operation: 20-7=13, Resulting Numbers: [26, 23, 13]
Generated Node #2: [26, 23, 13] from Operation: 20-7=13
Current State: 46:[26, 23, 13], Operations: ['20-7=13']
Exploring Operation: 26*23=598, Resulting Numbers: [13, 598]
Generated Node #3: [13, 598] from Operation: 26*23=598
Current State: 46:[13, 598], Operations: ['20-7=13', '26*23=598']
Exploring Operation: 598/13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
44,
28,
75,
67
] | 80 | [
"44+28=72",
"75-67=8",
"72+8=80"
] | Current State: 80:[44, 28, 75, 67], Operations: []
Exploring Operation: 44+28=72, Resulting Numbers: [75, 67, 72]
Generated Node #2: [75, 67, 72] from Operation: 44+28=72
Current State: 80:[75, 67, 72], Operations: ['44+28=72']
Exploring Operation: 75-67=8, Resulting Numbers: [72, 8]
Generated Node #3: [72, 8] from Operation: 75-67=8
Current State: 80:[72, 8], Operations: ['44+28=72', '75-67=8']
Exploring Operation: 72+8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
39,
54,
41,
24
] | 51 | [
"41-39=2",
"54/2=27",
"24+27=51"
] | Current State: 51:[39, 54, 41, 24], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [54, 24, 2]
Generated Node #2: [54, 24, 2] from Operation: 41-39=2
Current State: 51:[54, 24, 2], Operations: ['41-39=2']
Exploring Operation: 54/2=27, Resulting Numbers: [24, 27]
Generated Node #3: [24, 27] from Operation: 54/2=27
Current State: 51:[24, 27], Operations: ['41-39=2', '54/2=27']
Exploring Operation: 24+27=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
87,
54,
46,
75
] | 88 | [
"87-54=33",
"46+75=121",
"121-33=88"
] | Current State: 88:[87, 54, 46, 75], Operations: []
Exploring Operation: 87-54=33, Resulting Numbers: [46, 75, 33]
Generated Node #2: [46, 75, 33] from Operation: 87-54=33
Current State: 88:[46, 75, 33], Operations: ['87-54=33']
Exploring Operation: 46+75=121, Resulting Numbers: [33, 121]
Generated Node #3: [33, 121] from Operation: 46+75=121
Current State: 88:[33, 121], Operations: ['87-54=33', '46+75=121']
Exploring Operation: 121-33=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
31,
82,
22,
50
] | 41 | [
"31+82=113",
"22+50=72",
"113-72=41"
] | Current State: 41:[31, 82, 22, 50], Operations: []
Exploring Operation: 31+82=113, Resulting Numbers: [22, 50, 113]
Generated Node #2: [22, 50, 113] from Operation: 31+82=113
Current State: 41:[22, 50, 113], Operations: ['31+82=113']
Exploring Operation: 22+50=72, Resulting Numbers: [113, 72]
Generated Node #3: [113, 72] from Operation: 22+50=72
Current State: 41:[113, 72], Operations: ['31+82=113', '22+50=72']
Exploring Operation: 113-72=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
53,
84,
18,
30
] | 46 | [
"30-18=12",
"84/12=7",
"53-7=46"
] | Current State: 46:[53, 84, 18, 30], Operations: []
Exploring Operation: 30-18=12, Resulting Numbers: [53, 84, 12]
Generated Node #2: [53, 84, 12] from Operation: 30-18=12
Current State: 46:[53, 84, 12], Operations: ['30-18=12']
Exploring Operation: 84/12=7, Resulting Numbers: [53, 7]
Generated Node #3: [53, 7] from Operation: 84/12=7
Current State: 46:[53, 7], Operations: ['30-18=12', '84/12=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
77,
81,
68,
29
] | 43 | [
"81-77=4",
"68-29=39",
"4+39=43"
] | Current State: 43:[77, 81, 68, 29], Operations: []
Exploring Operation: 81-77=4, Resulting Numbers: [68, 29, 4]
Generated Node #2: [68, 29, 4] from Operation: 81-77=4
Current State: 43:[68, 29, 4], Operations: ['81-77=4']
Exploring Operation: 68-29=39, Resulting Numbers: [4, 39]
Generated Node #3: [4, 39] from Operation: 68-29=39
Current State: 43:[4, 39], Operations: ['81-77=4', '68-29=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
63,
24,
76,
84
] | 39 | [
"76-24=52",
"63*52=3276",
"3276/84=39"
] | Current State: 39:[63, 24, 76, 84], Operations: []
Exploring Operation: 76-24=52, Resulting Numbers: [63, 84, 52]
Generated Node #2: [63, 84, 52] from Operation: 76-24=52
Current State: 39:[63, 84, 52], Operations: ['76-24=52']
Exploring Operation: 63*52=3276, Resulting Numbers: [84, 3276]
Generated Node #3: [84, 3276] from Operation: 63*52=3276
Current State: 39:[84, 3276], Operations: ['76-24=52', '63*52=3276']
Exploring Operation: 3276/84=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
67,
31,
47,
6
] | 57 | [
"67+31=98",
"47-6=41",
"98-41=57"
] | Current State: 57:[67, 31, 47, 6], Operations: []
Exploring Operation: 67+31=98, Resulting Numbers: [47, 6, 98]
Generated Node #2: [47, 6, 98] from Operation: 67+31=98
Current State: 57:[47, 6, 98], Operations: ['67+31=98']
Exploring Operation: 47-6=41, Resulting Numbers: [98, 41]
Generated Node #3: [98, 41] from Operation: 47-6=41
Current State: 57:[98, 41], Operations: ['67+31=98', '47-6=41']
Exploring Operation: 98-41=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
50,
24,
4,
42
] | 29 | [
"50+24=74",
"42+74=116",
"116/4=29"
] | Current State: 29:[50, 24, 4, 42], Operations: []
Exploring Operation: 50+24=74, Resulting Numbers: [4, 42, 74]
Generated Node #2: [4, 42, 74] from Operation: 50+24=74
Current State: 29:[4, 42, 74], Operations: ['50+24=74']
Exploring Operation: 42+74=116, Resulting Numbers: [4, 116]
Generated Node #3: [4, 116] from Operation: 42+74=116
Current State: 29:[4, 116], Operations: ['50+24=74', '42+74=116']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
45,
34,
15,
53
] | 22 | [
"45/15=3",
"53-34=19",
"3+19=22"
] | Current State: 22:[45, 34, 15, 53], Operations: []
Exploring Operation: 45/15=3, Resulting Numbers: [34, 53, 3]
Generated Node #2: [34, 53, 3] from Operation: 45/15=3
Current State: 22:[34, 53, 3], Operations: ['45/15=3']
Exploring Operation: 53-34=19, Resulting Numbers: [3, 19]
Generated Node #3: [3, 19] from Operation: 53-34=19
Current State: 22:[3, 19], Operations: ['45/15=3', '53-34=19']
Exploring Operation: 3+19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
91,
61,
8,
99
] | 80 | [
"91+61=152",
"152/8=19",
"99-19=80"
] | Current State: 80:[91, 61, 8, 99], Operations: []
Exploring Operation: 91+61=152, Resulting Numbers: [8, 99, 152]
Generated Node #2: [8, 99, 152] from Operation: 91+61=152
Current State: 80:[8, 99, 152], Operations: ['91+61=152']
Exploring Operation: 152/8=19, Resulting Numbers: [99, 19]
Generated Node #3: [99, 19] from Operation: 152/8=19
Current State: 80:[99, 19], Operations: ['91+61=152', '152/8=19']
Exploring Operation: 99-19=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
6,
11,
25,
1
] | 92 | [
"6*11=66",
"25+1=26",
"66+26=92"
] | Current State: 92:[6, 11, 25, 1], Operations: []
Exploring Operation: 6*11=66, Resulting Numbers: [25, 1, 66]
Generated Node #2: [25, 1, 66] from Operation: 6*11=66
Current State: 92:[25, 1, 66], Operations: ['6*11=66']
Exploring Operation: 25+1=26, Resulting Numbers: [66, 26]
Generated Node #3: [66, 26] from Operation: 25+1=26
Current State: 92:[66, 26], Operations: ['6*11=66', '25+1=26']
Exploring Operation: 66+26=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
30,
1,
24
] | 29 | [
"35-30=5",
"1*24=24",
"5+24=29"
] | Current State: 29:[35, 30, 1, 24], Operations: []
Exploring Operation: 35-30=5, Resulting Numbers: [1, 24, 5]
Generated Node #2: [1, 24, 5] from Operation: 35-30=5
Current State: 29:[1, 24, 5], Operations: ['35-30=5']
Exploring Operation: 1*24=24, Resulting Numbers: [5, 24]
Generated Node #3: [5, 24] from Operation: 1*24=24
Current State: 29:[5, 24], Operations: ['35-30=5', '1*24=24']
Exploring Operation: 5+24=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
57,
41,
4,
47
] | 15 | [
"57+47=104",
"104/4=26",
"41-26=15"
] | Current State: 15:[57, 41, 4, 47], Operations: []
Exploring Operation: 57+47=104, Resulting Numbers: [41, 4, 104]
Generated Node #2: [41, 4, 104] from Operation: 57+47=104
Current State: 15:[41, 4, 104], Operations: ['57+47=104']
Exploring Operation: 104/4=26, Resulting Numbers: [41, 26]
Generated Node #3: [41, 26] from Operation: 104/4=26
Current State: 15:[41, 26], Operations: ['57+47=104', '104/4=26']
Exploring Operation: 41-26=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
36,
84,
24,
58
] | 65 | [
"36-24=12",
"84/12=7",
"58+7=65"
] | Current State: 65:[36, 84, 24, 58], Operations: []
Exploring Operation: 36-24=12, Resulting Numbers: [84, 58, 12]
Generated Node #2: [84, 58, 12] from Operation: 36-24=12
Current State: 65:[84, 58, 12], Operations: ['36-24=12']
Exploring Operation: 84/12=7, Resulting Numbers: [58, 7]
Generated Node #3: [58, 7] from Operation: 84/12=7
Current State: 65:[58, 7], Operations: ['36-24=12', '84/12=7']
Exploring Operation: 58+7=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
20,
59,
95,
97
] | 78 | [
"59-20=39",
"97-95=2",
"39*2=78"
] | Current State: 78:[20, 59, 95, 97], Operations: []
Exploring Operation: 59-20=39, Resulting Numbers: [95, 97, 39]
Generated Node #2: [95, 97, 39] from Operation: 59-20=39
Current State: 78:[95, 97, 39], Operations: ['59-20=39']
Exploring Operation: 97-95=2, Resulting Numbers: [39, 2]
Generated Node #3: [39, 2] from Operation: 97-95=2
Current State: 78:[39, 2], Operations: ['59-20=39', '97-95=2']
Exploring Operation: 39*2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
65,
29,
32,
52
] | 48 | [
"65-29=36",
"32+52=84",
"84-36=48"
] | Current State: 48:[65, 29, 32, 52], Operations: []
Exploring Operation: 65-29=36, Resulting Numbers: [32, 52, 36]
Generated Node #2: [32, 52, 36] from Operation: 65-29=36
Current State: 48:[32, 52, 36], Operations: ['65-29=36']
Exploring Operation: 32+52=84, Resulting Numbers: [36, 84]
Generated Node #3: [36, 84] from Operation: 32+52=84
Current State: 48:[36, 84], Operations: ['65-29=36', '32+52=84']
Exploring Operation: 84-36=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
66,
10,
92,
30
] | 46 | [
"66+10=76",
"92+30=122",
"122-76=46"
] | Current State: 46:[66, 10, 92, 30], Operations: []
Exploring Operation: 66+10=76, Resulting Numbers: [92, 30, 76]
Generated Node #2: [92, 30, 76] from Operation: 66+10=76
Current State: 46:[92, 30, 76], Operations: ['66+10=76']
Exploring Operation: 92+30=122, Resulting Numbers: [76, 122]
Generated Node #3: [76, 122] from Operation: 92+30=122
Current State: 46:[76, 122], Operations: ['66+10=76', '92+30=122']
Exploring Operation: 122-76=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
6,
27,
18,
54
] | 96 | [
"54/27=2",
"18-2=16",
"6*16=96"
] | Current State: 96:[6, 27, 18, 54], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [6, 18, 2]
Generated Node #2: [6, 18, 2] from Operation: 54/27=2
Current State: 96:[6, 18, 2], Operations: ['54/27=2']
Exploring Operation: 18-2=16, Resulting Numbers: [6, 16]
Generated Node #3: [6, 16] from Operation: 18-2=16
Current State: 96:[6, 16], Operations: ['54/27=2', '18-2=16']
Exploring Operation: 6*16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
47,
93,
84,
70
] | 86 | [
"47+93=140",
"140/70=2",
"84+2=86"
] | Current State: 86:[47, 93, 84, 70], Operations: []
Exploring Operation: 47+93=140, Resulting Numbers: [84, 70, 140]
Generated Node #2: [84, 70, 140] from Operation: 47+93=140
Current State: 86:[84, 70, 140], Operations: ['47+93=140']
Exploring Operation: 140/70=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 140/70=2
Current State: 86:[84, 2], Operations: ['47+93=140', '140/70=2']
Exploring Operation: 84+2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
9,
26,
5,
35
] | 16 | [
"9*5=45",
"26+35=61",
"61-45=16"
] | Current State: 16:[9, 26, 5, 35], Operations: []
Exploring Operation: 9*5=45, Resulting Numbers: [26, 35, 45]
Generated Node #2: [26, 35, 45] from Operation: 9*5=45
Current State: 16:[26, 35, 45], Operations: ['9*5=45']
Exploring Operation: 26+35=61, Resulting Numbers: [45, 61]
Generated Node #3: [45, 61] from Operation: 26+35=61
Current State: 16:[45, 61], Operations: ['9*5=45', '26+35=61']
Exploring Operation: 61-45=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
22,
61,
27,
32
] | 28 | [
"61+27=88",
"88/22=4",
"32-4=28"
] | Current State: 28:[22, 61, 27, 32], Operations: []
Exploring Operation: 61+27=88, Resulting Numbers: [22, 32, 88]
Generated Node #2: [22, 32, 88] from Operation: 61+27=88
Current State: 28:[22, 32, 88], Operations: ['61+27=88']
Exploring Operation: 88/22=4, Resulting Numbers: [32, 4]
Generated Node #3: [32, 4] from Operation: 88/22=4
Current State: 28:[32, 4], Operations: ['61+27=88', '88/22=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
66,
11,
75,
49
] | 81 | [
"66-11=55",
"75-49=26",
"55+26=81"
] | Current State: 81:[66, 11, 75, 49], Operations: []
Exploring Operation: 66-11=55, Resulting Numbers: [75, 49, 55]
Generated Node #2: [75, 49, 55] from Operation: 66-11=55
Current State: 81:[75, 49, 55], Operations: ['66-11=55']
Exploring Operation: 75-49=26, Resulting Numbers: [55, 26]
Generated Node #3: [55, 26] from Operation: 75-49=26
Current State: 81:[55, 26], Operations: ['66-11=55', '75-49=26']
Exploring Operation: 55+26=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
19,
31,
52,
11
] | 93 | [
"52-19=33",
"31*33=1023",
"1023/11=93"
] | Current State: 93:[19, 31, 52, 11], Operations: []
Exploring Operation: 52-19=33, Resulting Numbers: [31, 11, 33]
Generated Node #2: [31, 11, 33] from Operation: 52-19=33
Current State: 93:[31, 11, 33], Operations: ['52-19=33']
Exploring Operation: 31*33=1023, Resulting Numbers: [11, 1023]
Generated Node #3: [11, 1023] from Operation: 31*33=1023
Current State: 93:[11, 1023], Operations: ['52-19=33', '31*33=1023']
Exploring Operation: 1023/11=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
71,
52,
17,
19
] | 97 | [
"19-17=2",
"52/2=26",
"71+26=97"
] | Current State: 97:[71, 52, 17, 19], Operations: []
Exploring Operation: 19-17=2, Resulting Numbers: [71, 52, 2]
Generated Node #2: [71, 52, 2] from Operation: 19-17=2
Current State: 97:[71, 52, 2], Operations: ['19-17=2']
Exploring Operation: 52/2=26, Resulting Numbers: [71, 26]
Generated Node #3: [71, 26] from Operation: 52/2=26
Current State: 97:[71, 26], Operations: ['19-17=2', '52/2=26']
Exploring Operation: 71+26=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
11,
60,
33,
9
] | 91 | [
"60-11=49",
"33+9=42",
"49+42=91"
] | Current State: 91:[11, 60, 33, 9], Operations: []
Exploring Operation: 60-11=49, Resulting Numbers: [33, 9, 49]
Generated Node #2: [33, 9, 49] from Operation: 60-11=49
Current State: 91:[33, 9, 49], Operations: ['60-11=49']
Exploring Operation: 33+9=42, Resulting Numbers: [49, 42]
Generated Node #3: [49, 42] from Operation: 33+9=42
Current State: 91:[49, 42], Operations: ['60-11=49', '33+9=42']
Exploring Operation: 49+42=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
89,
4,
5,
64
] | 81 | [
"89-4=85",
"85/5=17",
"64+17=81"
] | Current State: 81:[89, 4, 5, 64], Operations: []
Exploring Operation: 89-4=85, Resulting Numbers: [5, 64, 85]
Generated Node #2: [5, 64, 85] from Operation: 89-4=85
Current State: 81:[5, 64, 85], Operations: ['89-4=85']
Exploring Operation: 85/5=17, Resulting Numbers: [64, 17]
Generated Node #3: [64, 17] from Operation: 85/5=17
Current State: 81:[64, 17], Operations: ['89-4=85', '85/5=17']
Exploring Operation: 64+17=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
10,
70,
2,
98
] | 84 | [
"70/10=7",
"2*7=14",
"98-14=84"
] | Current State: 84:[10, 70, 2, 98], Operations: []
Exploring Operation: 70/10=7, Resulting Numbers: [2, 98, 7]
Generated Node #2: [2, 98, 7] from Operation: 70/10=7
Current State: 84:[2, 98, 7], Operations: ['70/10=7']
Exploring Operation: 2*7=14, Resulting Numbers: [98, 14]
Generated Node #3: [98, 14] from Operation: 2*7=14
Current State: 84:[98, 14], Operations: ['70/10=7', '2*7=14']
Exploring Operation: 98-14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
96,
8,
98,
4
] | 74 | [
"8-4=4",
"96/4=24",
"98-24=74"
] | Current State: 74:[96, 8, 98, 4], Operations: []
Exploring Operation: 8-4=4, Resulting Numbers: [96, 98, 4]
Generated Node #2: [96, 98, 4] from Operation: 8-4=4
Current State: 74:[96, 98, 4], Operations: ['8-4=4']
Exploring Operation: 96/4=24, Resulting Numbers: [98, 24]
Generated Node #3: [98, 24] from Operation: 96/4=24
Current State: 74:[98, 24], Operations: ['8-4=4', '96/4=24']
Exploring Operation: 98-24=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
78,
28,
7,
76
] | 14 | [
"78-76=2",
"7*2=14",
"28-14=14"
] | Current State: 14:[78, 28, 7, 76], Operations: []
Exploring Operation: 78-76=2, Resulting Numbers: [28, 7, 2]
Generated Node #2: [28, 7, 2] from Operation: 78-76=2
Current State: 14:[28, 7, 2], Operations: ['78-76=2']
Exploring Operation: 7*2=14, Resulting Numbers: [28, 14]
Generated Node #3: [28, 14] from Operation: 7*2=14
Current State: 14:[28, 14], Operations: ['78-76=2', '7*2=14']
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
88,
54,
92,
9
] | 49 | [
"88-54=34",
"92-9=83",
"83-34=49"
] | Current State: 49:[88, 54, 92, 9], Operations: []
Exploring Operation: 88-54=34, Resulting Numbers: [92, 9, 34]
Generated Node #2: [92, 9, 34] from Operation: 88-54=34
Current State: 49:[92, 9, 34], Operations: ['88-54=34']
Exploring Operation: 92-9=83, Resulting Numbers: [34, 83]
Generated Node #3: [34, 83] from Operation: 92-9=83
Current State: 49:[34, 83], Operations: ['88-54=34', '92-9=83']
Exploring Operation: 83-34=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
18,
57,
64,
19
] | 79 | [
"18+64=82",
"57/19=3",
"82-3=79"
] | Current State: 79:[18, 57, 64, 19], Operations: []
Exploring Operation: 18+64=82, Resulting Numbers: [57, 19, 82]
Generated Node #2: [57, 19, 82] from Operation: 18+64=82
Current State: 79:[57, 19, 82], Operations: ['18+64=82']
Exploring Operation: 57/19=3, Resulting Numbers: [82, 3]
Generated Node #3: [82, 3] from Operation: 57/19=3
Current State: 79:[82, 3], Operations: ['18+64=82', '57/19=3']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
8,
67,
72,
78
] | 81 | [
"8+67=75",
"78-72=6",
"75+6=81"
] | Current State: 81:[8, 67, 72, 78], Operations: []
Exploring Operation: 8+67=75, Resulting Numbers: [72, 78, 75]
Generated Node #2: [72, 78, 75] from Operation: 8+67=75
Current State: 81:[72, 78, 75], Operations: ['8+67=75']
Exploring Operation: 78-72=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 78-72=6
Current State: 81:[75, 6], Operations: ['8+67=75', '78-72=6']
Exploring Operation: 75+6=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
94,
74,
57,
87
] | 85 | [
"94-57=37",
"74/37=2",
"87-2=85"
] | Current State: 85:[94, 74, 57, 87], Operations: []
Exploring Operation: 94-57=37, Resulting Numbers: [74, 87, 37]
Generated Node #2: [74, 87, 37] from Operation: 94-57=37
Current State: 85:[74, 87, 37], Operations: ['94-57=37']
Exploring Operation: 74/37=2, Resulting Numbers: [87, 2]
Generated Node #3: [87, 2] from Operation: 74/37=2
Current State: 85:[87, 2], Operations: ['94-57=37', '74/37=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
97,
99,
2,
56
] | 45 | [
"97+56=153",
"99*2=198",
"198-153=45"
] | Current State: 45:[97, 99, 2, 56], Operations: []
Exploring Operation: 97+56=153, Resulting Numbers: [99, 2, 153]
Generated Node #2: [99, 2, 153] from Operation: 97+56=153
Current State: 45:[99, 2, 153], Operations: ['97+56=153']
Exploring Operation: 99*2=198, Resulting Numbers: [153, 198]
Generated Node #3: [153, 198] from Operation: 99*2=198
Current State: 45:[153, 198], Operations: ['97+56=153', '99*2=198']
Exploring Operation: 198-153=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
83,
62,
48,
46
] | 51 | [
"83+62=145",
"48+46=94",
"145-94=51"
] | Current State: 51:[83, 62, 48, 46], Operations: []
Exploring Operation: 83+62=145, Resulting Numbers: [48, 46, 145]
Generated Node #2: [48, 46, 145] from Operation: 83+62=145
Current State: 51:[48, 46, 145], Operations: ['83+62=145']
Exploring Operation: 48+46=94, Resulting Numbers: [145, 94]
Generated Node #3: [145, 94] from Operation: 48+46=94
Current State: 51:[145, 94], Operations: ['83+62=145', '48+46=94']
Exploring Operation: 145-94=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
8,
66,
86,
56
] | 84 | [
"66-8=58",
"86+56=142",
"142-58=84"
] | Current State: 84:[8, 66, 86, 56], Operations: []
Exploring Operation: 66-8=58, Resulting Numbers: [86, 56, 58]
Generated Node #2: [86, 56, 58] from Operation: 66-8=58
Current State: 84:[86, 56, 58], Operations: ['66-8=58']
Exploring Operation: 86+56=142, Resulting Numbers: [58, 142]
Generated Node #3: [58, 142] from Operation: 86+56=142
Current State: 84:[58, 142], Operations: ['66-8=58', '86+56=142']
Exploring Operation: 142-58=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
55,
20,
12,
69
] | 10 | [
"55+12=67",
"69-67=2",
"20/2=10"
] | Current State: 10:[55, 20, 12, 69], Operations: []
Exploring Operation: 55+12=67, Resulting Numbers: [20, 69, 67]
Generated Node #2: [20, 69, 67] from Operation: 55+12=67
Current State: 10:[20, 69, 67], Operations: ['55+12=67']
Exploring Operation: 69-67=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 69-67=2
Current State: 10:[20, 2], Operations: ['55+12=67', '69-67=2']
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
15,
92,
89,
70
] | 52 | [
"15+92=107",
"89+70=159",
"159-107=52"
] | Current State: 52:[15, 92, 89, 70], Operations: []
Exploring Operation: 15+92=107, Resulting Numbers: [89, 70, 107]
Generated Node #2: [89, 70, 107] from Operation: 15+92=107
Current State: 52:[89, 70, 107], Operations: ['15+92=107']
Exploring Operation: 89+70=159, Resulting Numbers: [107, 159]
Generated Node #3: [107, 159] from Operation: 89+70=159
Current State: 52:[107, 159], Operations: ['15+92=107', '89+70=159']
Exploring Operation: 159-107=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
33,
62,
11,
43
] | 61 | [
"62-33=29",
"43-11=32",
"29+32=61"
] | Current State: 61:[33, 62, 11, 43], Operations: []
Exploring Operation: 62-33=29, Resulting Numbers: [11, 43, 29]
Generated Node #2: [11, 43, 29] from Operation: 62-33=29
Current State: 61:[11, 43, 29], Operations: ['62-33=29']
Exploring Operation: 43-11=32, Resulting Numbers: [29, 32]
Generated Node #3: [29, 32] from Operation: 43-11=32
Current State: 61:[29, 32], Operations: ['62-33=29', '43-11=32']
Exploring Operation: 29+32=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
22,
57,
90
] | 72 | [
"28-22=6",
"90/6=15",
"57+15=72"
] | Current State: 72:[28, 22, 57, 90], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [57, 90, 6]
Generated Node #2: [57, 90, 6] from Operation: 28-22=6
Current State: 72:[57, 90, 6], Operations: ['28-22=6']
Exploring Operation: 90/6=15, Resulting Numbers: [57, 15]
Generated Node #3: [57, 15] from Operation: 90/6=15
Current State: 72:[57, 15], Operations: ['28-22=6', '90/6=15']
Exploring Operation: 57+15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
5,
95,
71,
70
] | 54 | [
"95-70=25",
"5*25=125",
"125-71=54"
] | Current State: 54:[5, 95, 71, 70], Operations: []
Exploring Operation: 95-70=25, Resulting Numbers: [5, 71, 25]
Generated Node #2: [5, 71, 25] from Operation: 95-70=25
Current State: 54:[5, 71, 25], Operations: ['95-70=25']
Exploring Operation: 5*25=125, Resulting Numbers: [71, 125]
Generated Node #3: [71, 125] from Operation: 5*25=125
Current State: 54:[71, 125], Operations: ['95-70=25', '5*25=125']
Exploring Operation: 125-71=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
23,
2,
24,
23
] | 21 | [
"23-2=21",
"24-23=1",
"21*1=21"
] | Current State: 21:[23, 2, 24, 23], Operations: []
Exploring Operation: 23-2=21, Resulting Numbers: [24, 21]
Generated Node #2: [24, 21] from Operation: 23-2=21
Current State: 21:[24, 21], Operations: ['23-2=21']
Exploring Operation: 24-23=1, Resulting Numbers: [21, 1]
Generated Node #3: [21, 1] from Operation: 24-23=1
Current State: 21:[21, 1], Operations: ['23-2=21', '24-23=1']
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
49,
41,
96,
3
] | 91 | [
"49-41=8",
"96+3=99",
"99-8=91"
] | Current State: 91:[49, 41, 96, 3], Operations: []
Exploring Operation: 49-41=8, Resulting Numbers: [96, 3, 8]
Generated Node #2: [96, 3, 8] from Operation: 49-41=8
Current State: 91:[96, 3, 8], Operations: ['49-41=8']
Exploring Operation: 96+3=99, Resulting Numbers: [8, 99]
Generated Node #3: [8, 99] from Operation: 96+3=99
Current State: 91:[8, 99], Operations: ['49-41=8', '96+3=99']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
64,
29,
94,
28
] | 58 | [
"94-64=30",
"30-28=2",
"29*2=58"
] | Current State: 58:[64, 29, 94, 28], Operations: []
Exploring Operation: 94-64=30, Resulting Numbers: [29, 28, 30]
Generated Node #2: [29, 28, 30] from Operation: 94-64=30
Current State: 58:[29, 28, 30], Operations: ['94-64=30']
Exploring Operation: 30-28=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 30-28=2
Current State: 58:[29, 2], Operations: ['94-64=30', '30-28=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
55,
73,
64,
59
] | 23 | [
"73-55=18",
"64-59=5",
"18+5=23"
] | Current State: 23:[55, 73, 64, 59], Operations: []
Exploring Operation: 73-55=18, Resulting Numbers: [64, 59, 18]
Generated Node #2: [64, 59, 18] from Operation: 73-55=18
Current State: 23:[64, 59, 18], Operations: ['73-55=18']
Exploring Operation: 64-59=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 64-59=5
Current State: 23:[18, 5], Operations: ['73-55=18', '64-59=5']
Exploring Operation: 18+5=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
84,
43,
9
] | 94 | [
"62+84=146",
"43+9=52",
"146-52=94"
] | Current State: 94:[62, 84, 43, 9], Operations: []
Exploring Operation: 62+84=146, Resulting Numbers: [43, 9, 146]
Generated Node #2: [43, 9, 146] from Operation: 62+84=146
Current State: 94:[43, 9, 146], Operations: ['62+84=146']
Exploring Operation: 43+9=52, Resulting Numbers: [146, 52]
Generated Node #3: [146, 52] from Operation: 43+9=52
Current State: 94:[146, 52], Operations: ['62+84=146', '43+9=52']
Exploring Operation: 146-52=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
7,
70,
39
] | 15 | [
"87+7=94",
"70+39=109",
"109-94=15"
] | Current State: 15:[87, 7, 70, 39], Operations: []
Exploring Operation: 87+7=94, Resulting Numbers: [70, 39, 94]
Generated Node #2: [70, 39, 94] from Operation: 87+7=94
Current State: 15:[70, 39, 94], Operations: ['87+7=94']
Exploring Operation: 70+39=109, Resulting Numbers: [94, 109]
Generated Node #3: [94, 109] from Operation: 70+39=109
Current State: 15:[94, 109], Operations: ['87+7=94', '70+39=109']
Exploring Operation: 109-94=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
25,
22,
19,
11
] | 69 | [
"25*22=550",
"550/11=50",
"19+50=69"
] | Current State: 69:[25, 22, 19, 11], Operations: []
Exploring Operation: 25*22=550, Resulting Numbers: [19, 11, 550]
Generated Node #2: [19, 11, 550] from Operation: 25*22=550
Current State: 69:[19, 11, 550], Operations: ['25*22=550']
Exploring Operation: 550/11=50, Resulting Numbers: [19, 50]
Generated Node #3: [19, 50] from Operation: 550/11=50
Current State: 69:[19, 50], Operations: ['25*22=550', '550/11=50']
Exploring Operation: 19+50=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
83,
2,
80,
46
] | 15 | [
"80-46=34",
"2*34=68",
"83-68=15"
] | Current State: 15:[83, 2, 80, 46], Operations: []
Exploring Operation: 80-46=34, Resulting Numbers: [83, 2, 34]
Generated Node #2: [83, 2, 34] from Operation: 80-46=34
Current State: 15:[83, 2, 34], Operations: ['80-46=34']
Exploring Operation: 2*34=68, Resulting Numbers: [83, 68]
Generated Node #3: [83, 68] from Operation: 2*34=68
Current State: 15:[83, 68], Operations: ['80-46=34', '2*34=68']
Exploring Operation: 83-68=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
13,
74,
18,
76
] | 49 | [
"76-74=2",
"18*2=36",
"13+36=49"
] | Current State: 49:[13, 74, 18, 76], Operations: []
Exploring Operation: 76-74=2, Resulting Numbers: [13, 18, 2]
Generated Node #2: [13, 18, 2] from Operation: 76-74=2
Current State: 49:[13, 18, 2], Operations: ['76-74=2']
Exploring Operation: 18*2=36, Resulting Numbers: [13, 36]
Generated Node #3: [13, 36] from Operation: 18*2=36
Current State: 49:[13, 36], Operations: ['76-74=2', '18*2=36']
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
1,
63,
65,
22
] | 22 | [
"1+63=64",
"65-64=1",
"22*1=22"
] | Current State: 22:[1, 63, 65, 22], Operations: []
Exploring Operation: 1+63=64, Resulting Numbers: [65, 22, 64]
Generated Node #2: [65, 22, 64] from Operation: 1+63=64
Current State: 22:[65, 22, 64], Operations: ['1+63=64']
Exploring Operation: 65-64=1, Resulting Numbers: [22, 1]
Generated Node #3: [22, 1] from Operation: 65-64=1
Current State: 22:[22, 1], Operations: ['1+63=64', '65-64=1']
Exploring Operation: 22*1=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
96,
52,
65,
57
] | 78 | [
"96-52=44",
"65+57=122",
"122-44=78"
] | Current State: 78:[96, 52, 65, 57], Operations: []
Exploring Operation: 96-52=44, Resulting Numbers: [65, 57, 44]
Generated Node #2: [65, 57, 44] from Operation: 96-52=44
Current State: 78:[65, 57, 44], Operations: ['96-52=44']
Exploring Operation: 65+57=122, Resulting Numbers: [44, 122]
Generated Node #3: [44, 122] from Operation: 65+57=122
Current State: 78:[44, 122], Operations: ['96-52=44', '65+57=122']
Exploring Operation: 122-44=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
78,
28,
26,
5
] | 71 | [
"78-28=50",
"26-5=21",
"50+21=71"
] | Current State: 71:[78, 28, 26, 5], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [26, 5, 50]
Generated Node #2: [26, 5, 50] from Operation: 78-28=50
Current State: 71:[26, 5, 50], Operations: ['78-28=50']
Exploring Operation: 26-5=21, Resulting Numbers: [50, 21]
Generated Node #3: [50, 21] from Operation: 26-5=21
Current State: 71:[50, 21], Operations: ['78-28=50', '26-5=21']
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
87,
47,
36,
24
] | 96 | [
"87-47=40",
"40-36=4",
"24*4=96"
] | Current State: 96:[87, 47, 36, 24], Operations: []
Exploring Operation: 87-47=40, Resulting Numbers: [36, 24, 40]
Generated Node #2: [36, 24, 40] from Operation: 87-47=40
Current State: 96:[36, 24, 40], Operations: ['87-47=40']
Exploring Operation: 40-36=4, Resulting Numbers: [24, 4]
Generated Node #3: [24, 4] from Operation: 40-36=4
Current State: 96:[24, 4], Operations: ['87-47=40', '40-36=4']
Exploring Operation: 24*4=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
23,
98,
80,
64
] | 69 | [
"98-23=75",
"80+64=144",
"144-75=69"
] | Current State: 69:[23, 98, 80, 64], Operations: []
Exploring Operation: 98-23=75, Resulting Numbers: [80, 64, 75]
Generated Node #2: [80, 64, 75] from Operation: 98-23=75
Current State: 69:[80, 64, 75], Operations: ['98-23=75']
Exploring Operation: 80+64=144, Resulting Numbers: [75, 144]
Generated Node #3: [75, 144] from Operation: 80+64=144
Current State: 69:[75, 144], Operations: ['98-23=75', '80+64=144']
Exploring Operation: 144-75=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
99,
51,
79,
86
] | 55 | [
"99-51=48",
"86-79=7",
"48+7=55"
] | Current State: 55:[99, 51, 79, 86], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [79, 86, 48]
Generated Node #2: [79, 86, 48] from Operation: 99-51=48
Current State: 55:[79, 86, 48], Operations: ['99-51=48']
Exploring Operation: 86-79=7, Resulting Numbers: [48, 7]
Generated Node #3: [48, 7] from Operation: 86-79=7
Current State: 55:[48, 7], Operations: ['99-51=48', '86-79=7']
Exploring Operation: 48+7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
32,
18,
11,
74
] | 99 | [
"32-18=14",
"11+74=85",
"14+85=99"
] | Current State: 99:[32, 18, 11, 74], Operations: []
Exploring Operation: 32-18=14, Resulting Numbers: [11, 74, 14]
Generated Node #2: [11, 74, 14] from Operation: 32-18=14
Current State: 99:[11, 74, 14], Operations: ['32-18=14']
Exploring Operation: 11+74=85, Resulting Numbers: [14, 85]
Generated Node #3: [14, 85] from Operation: 11+74=85
Current State: 99:[14, 85], Operations: ['32-18=14', '11+74=85']
Exploring Operation: 14+85=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
91,
6,
26,
26
] | 84 | [
"91-6=85",
"26/26=1",
"85-1=84"
] | Current State: 84:[91, 6, 26, 26], Operations: []
Exploring Operation: 91-6=85, Resulting Numbers: [26, 26, 85]
Generated Node #2: [26, 26, 85] from Operation: 91-6=85
Current State: 84:[26, 26, 85], Operations: ['91-6=85']
Exploring Operation: 26/26=1, Resulting Numbers: [85, 1]
Generated Node #3: [85, 1] from Operation: 26/26=1
Current State: 84:[85, 1], Operations: ['91-6=85', '26/26=1']
Exploring Operation: 85-1=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
92,
36,
61,
34
] | 29 | [
"92-36=56",
"61-34=27",
"56-27=29"
] | Current State: 29:[92, 36, 61, 34], Operations: []
Exploring Operation: 92-36=56, Resulting Numbers: [61, 34, 56]
Generated Node #2: [61, 34, 56] from Operation: 92-36=56
Current State: 29:[61, 34, 56], Operations: ['92-36=56']
Exploring Operation: 61-34=27, Resulting Numbers: [56, 27]
Generated Node #3: [56, 27] from Operation: 61-34=27
Current State: 29:[56, 27], Operations: ['92-36=56', '61-34=27']
Exploring Operation: 56-27=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
10,
2,
2,
32
] | 12 | [
"10-2=8",
"32-8=24",
"24/2=12"
] | Current State: 12:[10, 2, 2, 32], Operations: []
Exploring Operation: 10-2=8, Resulting Numbers: [32, 8]
Generated Node #2: [32, 8] from Operation: 10-2=8
Current State: 12:[32, 8], Operations: ['10-2=8']
Exploring Operation: 32-8=24, Resulting Numbers: [24]
24,12 equal: Goal Reached
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
12,
49,
89,
93
] | 97 | [
"93-89=4",
"12*4=48",
"49+48=97"
] | Current State: 97:[12, 49, 89, 93], Operations: []
Exploring Operation: 93-89=4, Resulting Numbers: [12, 49, 4]
Generated Node #2: [12, 49, 4] from Operation: 93-89=4
Current State: 97:[12, 49, 4], Operations: ['93-89=4']
Exploring Operation: 12*4=48, Resulting Numbers: [49, 48]
Generated Node #3: [49, 48] from Operation: 12*4=48
Current State: 97:[49, 48], Operations: ['93-89=4', '12*4=48']
Exploring Operation: 49+48=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
4,
17,
92,
88
] | 33 | [
"92-88=4",
"4*4=16",
"17+16=33"
] | Current State: 33:[4, 17, 92, 88], Operations: []
Exploring Operation: 92-88=4, Resulting Numbers: [4, 17, 4]
Generated Node #2: [4, 17, 4] from Operation: 92-88=4
Current State: 33:[4, 17, 4], Operations: ['92-88=4']
Exploring Operation: 4*4=16, Resulting Numbers: [17, 16]
Generated Node #3: [17, 16] from Operation: 4*4=16
Current State: 33:[17, 16], Operations: ['92-88=4', '4*4=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
9,
39,
99,
79
] | 29 | [
"99/9=11",
"79-39=40",
"40-11=29"
] | Current State: 29:[9, 39, 99, 79], Operations: []
Exploring Operation: 99/9=11, Resulting Numbers: [39, 79, 11]
Generated Node #2: [39, 79, 11] from Operation: 99/9=11
Current State: 29:[39, 79, 11], Operations: ['99/9=11']
Exploring Operation: 79-39=40, Resulting Numbers: [11, 40]
Generated Node #3: [11, 40] from Operation: 79-39=40
Current State: 29:[11, 40], Operations: ['99/9=11', '79-39=40']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
58,
63,
43,
80
] | 59 | [
"63-58=5",
"80/5=16",
"43+16=59"
] | Current State: 59:[58, 63, 43, 80], Operations: []
Exploring Operation: 63-58=5, Resulting Numbers: [43, 80, 5]
Generated Node #2: [43, 80, 5] from Operation: 63-58=5
Current State: 59:[43, 80, 5], Operations: ['63-58=5']
Exploring Operation: 80/5=16, Resulting Numbers: [43, 16]
Generated Node #3: [43, 16] from Operation: 80/5=16
Current State: 59:[43, 16], Operations: ['63-58=5', '80/5=16']
Exploring Operation: 43+16=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
76,
95,
3,
2
] | 25 | [
"95-76=19",
"3*2=6",
"19+6=25"
] | Current State: 25:[76, 95, 3, 2], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [3, 2, 19]
Generated Node #2: [3, 2, 19] from Operation: 95-76=19
Current State: 25:[3, 2, 19], Operations: ['95-76=19']
Exploring Operation: 3*2=6, Resulting Numbers: [19, 6]
Generated Node #3: [19, 6] from Operation: 3*2=6
Current State: 25:[19, 6], Operations: ['95-76=19', '3*2=6']
Exploring Operation: 19+6=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
76,
95,
21,
94
] | 47 | [
"95-76=19",
"21-19=2",
"94/2=47"
] | Current State: 47:[76, 95, 21, 94], Operations: []
Exploring Operation: 95-76=19, Resulting Numbers: [21, 94, 19]
Generated Node #2: [21, 94, 19] from Operation: 95-76=19
Current State: 47:[21, 94, 19], Operations: ['95-76=19']
Exploring Operation: 21-19=2, Resulting Numbers: [94, 2]
Generated Node #3: [94, 2] from Operation: 21-19=2
Current State: 47:[94, 2], Operations: ['95-76=19', '21-19=2']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
23,
59,
63
] | 21 | [
"12*63=756",
"59-23=36",
"756/36=21"
] | Current State: 21:[12, 23, 59, 63], Operations: []
Exploring Operation: 12*63=756, Resulting Numbers: [23, 59, 756]
Generated Node #2: [23, 59, 756] from Operation: 12*63=756
Current State: 21:[23, 59, 756], Operations: ['12*63=756']
Exploring Operation: 59-23=36, Resulting Numbers: [756, 36]
Generated Node #3: [756, 36] from Operation: 59-23=36
Current State: 21:[756, 36], Operations: ['12*63=756', '59-23=36']
Exploring Operation: 756/36=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
39,
46,
16,
54
] | 63 | [
"46-39=7",
"16+54=70",
"70-7=63"
] | Current State: 63:[39, 46, 16, 54], Operations: []
Exploring Operation: 46-39=7, Resulting Numbers: [16, 54, 7]
Generated Node #2: [16, 54, 7] from Operation: 46-39=7
Current State: 63:[16, 54, 7], Operations: ['46-39=7']
Exploring Operation: 16+54=70, Resulting Numbers: [7, 70]
Generated Node #3: [7, 70] from Operation: 16+54=70
Current State: 63:[7, 70], Operations: ['46-39=7', '16+54=70']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
69,
7,
77,
10
] | 76 | [
"69+77=146",
"7*10=70",
"146-70=76"
] | Current State: 76:[69, 7, 77, 10], Operations: []
Exploring Operation: 69+77=146, Resulting Numbers: [7, 10, 146]
Generated Node #2: [7, 10, 146] from Operation: 69+77=146
Current State: 76:[7, 10, 146], Operations: ['69+77=146']
Exploring Operation: 7*10=70, Resulting Numbers: [146, 70]
Generated Node #3: [146, 70] from Operation: 7*10=70
Current State: 76:[146, 70], Operations: ['69+77=146', '7*10=70']
Exploring Operation: 146-70=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
75,
95,
57,
66
] | 21 | [
"75*57=4275",
"4275/95=45",
"66-45=21"
] | Current State: 21:[75, 95, 57, 66], Operations: []
Exploring Operation: 75*57=4275, Resulting Numbers: [95, 66, 4275]
Generated Node #2: [95, 66, 4275] from Operation: 75*57=4275
Current State: 21:[95, 66, 4275], Operations: ['75*57=4275']
Exploring Operation: 4275/95=45, Resulting Numbers: [66, 45]
Generated Node #3: [66, 45] from Operation: 4275/95=45
Current State: 21:[66, 45], Operations: ['75*57=4275', '4275/95=45']
Exploring Operation: 66-45=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
73,
46,
17,
26
] | 70 | [
"73-46=27",
"17+26=43",
"27+43=70"
] | Current State: 70:[73, 46, 17, 26], Operations: []
Exploring Operation: 73-46=27, Resulting Numbers: [17, 26, 27]
Generated Node #2: [17, 26, 27] from Operation: 73-46=27
Current State: 70:[17, 26, 27], Operations: ['73-46=27']
Exploring Operation: 17+26=43, Resulting Numbers: [27, 43]
Generated Node #3: [27, 43] from Operation: 17+26=43
Current State: 70:[27, 43], Operations: ['73-46=27', '17+26=43']
Exploring Operation: 27+43=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
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