Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 2, 37, 49, 83 ]
73
[ "2+37=39", "83-49=34", "39+34=73" ]
Current State: 73:[2, 37, 49, 83], Operations: [] Exploring Operation: 2+37=39, Resulting Numbers: [49, 83, 39] Generated Node #2: [49, 83, 39] from Operation: 2+37=39 Current State: 73:[49, 83, 39], Operations: ['2+37=39'] Exploring Operation: 83-49=34, Resulting Numbers: [39, 34] Generated Node #3: [39, 34] from Operation: 83-49=34 Current State: 73:[39, 34], Operations: ['2+37=39', '83-49=34'] Exploring Operation: 39+34=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 38, 53, 70, 95 ]
100
[ "38*95=3610", "53*70=3710", "3710-3610=100" ]
Current State: 100:[38, 53, 70, 95], Operations: [] Exploring Operation: 38*95=3610, Resulting Numbers: [53, 70, 3610] Generated Node #2: [53, 70, 3610] from Operation: 38*95=3610 Current State: 100:[53, 70, 3610], Operations: ['38*95=3610'] Exploring Operation: 53*70=3710, Resulting Numbers: [3610, 3710] Generated Node #3: [3610, 3710] from Operation: 53*70=3710 Current State: 100:[3610, 3710], Operations: ['38*95=3610', '53*70=3710'] Exploring Operation: 3710-3610=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 2, 20, 74, 94 ]
94
[ "2*94=188", "20+74=94", "188-94=94" ]
Current State: 94:[2, 20, 74, 94], Operations: [] Exploring Operation: 2*94=188, Resulting Numbers: [20, 74, 188] Generated Node #2: [20, 74, 188] from Operation: 2*94=188 Current State: 94:[20, 74, 188], Operations: ['2*94=188'] Exploring Operation: 20+74=94, Resulting Numbers: [188, 94] Generated Node #3: [188, 94] from Operation: 20+74=94 Current State: 94:[188, 94], Operations: ['2*94=188', '20+74=94'] Exploring Operation: 188-94=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 17, 77, 61, 37 ]
84
[ "77-17=60", "61-37=24", "60+24=84" ]
Current State: 84:[17, 77, 61, 37], Operations: [] Exploring Operation: 77-17=60, Resulting Numbers: [61, 37, 60] Generated Node #2: [61, 37, 60] from Operation: 77-17=60 Current State: 84:[61, 37, 60], Operations: ['77-17=60'] Exploring Operation: 61-37=24, Resulting Numbers: [60, 24] Generated Node #3: [60, 24] from Operation: 61-37=24 Current State: 84:[60, 24], Operations: ['77-17=60', '61-37=24'] Exploring Operation: 60+24=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 45, 70, 16, 74 ]
25
[ "45+70=115", "16+74=90", "115-90=25" ]
Current State: 25:[45, 70, 16, 74], Operations: [] Exploring Operation: 45+70=115, Resulting Numbers: [16, 74, 115] Generated Node #2: [16, 74, 115] from Operation: 45+70=115 Current State: 25:[16, 74, 115], Operations: ['45+70=115'] Exploring Operation: 16+74=90, Resulting Numbers: [115, 90] Generated Node #3: [115, 90] from Operation: 16+74=90 Current State: 25:[115, 90], Operations: ['45+70=115', '16+74=90'] Exploring Operation: 115-90=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 22, 47, 77, 50 ]
96
[ "22+47=69", "77-50=27", "69+27=96" ]
Current State: 96:[22, 47, 77, 50], Operations: [] Exploring Operation: 22+47=69, Resulting Numbers: [77, 50, 69] Generated Node #2: [77, 50, 69] from Operation: 22+47=69 Current State: 96:[77, 50, 69], Operations: ['22+47=69'] Exploring Operation: 77-50=27, Resulting Numbers: [69, 27] Generated Node #3: [69, 27] from Operation: 77-50=27 Current State: 96:[69, 27], Operations: ['22+47=69', '77-50=27'] Exploring Operation: 69+27=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 39, 43, 25, 84 ]
46
[ "43-39=4", "84/4=21", "25+21=46" ]
Current State: 46:[39, 43, 25, 84], Operations: [] Exploring Operation: 43-39=4, Resulting Numbers: [25, 84, 4] Generated Node #2: [25, 84, 4] from Operation: 43-39=4 Current State: 46:[25, 84, 4], Operations: ['43-39=4'] Exploring Operation: 84/4=21, Resulting Numbers: [25, 21] Generated Node #3: [25, 21] from Operation: 84/4=21 Current State: 46:[25, 21], Operations: ['43-39=4', '84/4=21'] Exploring Operation: 25+21=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 78, 82, 80, 24 ]
74
[ "82-78=4", "24/4=6", "80-6=74" ]
Current State: 74:[78, 82, 80, 24], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [80, 24, 4] Generated Node #2: [80, 24, 4] from Operation: 82-78=4 Current State: 74:[80, 24, 4], Operations: ['82-78=4'] Exploring Operation: 24/4=6, Resulting Numbers: [80, 6] Generated Node #3: [80, 6] from Operation: 24/4=6 Current State: 74:[80, 6], Operations: ['82-78=4', '24/4=6'] Exploring Operation: 80-6=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 18, 76, 93, 62 ]
27
[ "76-18=58", "93-62=31", "58-31=27" ]
Current State: 27:[18, 76, 93, 62], Operations: [] Exploring Operation: 76-18=58, Resulting Numbers: [93, 62, 58] Generated Node #2: [93, 62, 58] from Operation: 76-18=58 Current State: 27:[93, 62, 58], Operations: ['76-18=58'] Exploring Operation: 93-62=31, Resulting Numbers: [58, 31] Generated Node #3: [58, 31] from Operation: 93-62=31 Current State: 27:[58, 31], Operations: ['76-18=58', '93-62=31'] Exploring Operation: 58-31=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 18, 43, 56, 36 ]
45
[ "43-18=25", "56-36=20", "25+20=45" ]
Current State: 45:[18, 43, 56, 36], Operations: [] Exploring Operation: 43-18=25, Resulting Numbers: [56, 36, 25] Generated Node #2: [56, 36, 25] from Operation: 43-18=25 Current State: 45:[56, 36, 25], Operations: ['43-18=25'] Exploring Operation: 56-36=20, Resulting Numbers: [25, 20] Generated Node #3: [25, 20] from Operation: 56-36=20 Current State: 45:[25, 20], Operations: ['43-18=25', '56-36=20'] Exploring Operation: 25+20=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 5, 20, 33, 28 ]
75
[ "20-5=15", "33-28=5", "15*5=75" ]
Current State: 75:[5, 20, 33, 28], Operations: [] Exploring Operation: 20-5=15, Resulting Numbers: [33, 28, 15] Generated Node #2: [33, 28, 15] from Operation: 20-5=15 Current State: 75:[33, 28, 15], Operations: ['20-5=15'] Exploring Operation: 33-28=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 33-28=5 Current State: 75:[15, 5], Operations: ['20-5=15', '33-28=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 47, 28, 3, 56 ]
75
[ "56-47=9", "28*3=84", "84-9=75" ]
Current State: 75:[47, 28, 3, 56], Operations: [] Exploring Operation: 56-47=9, Resulting Numbers: [28, 3, 9] Generated Node #2: [28, 3, 9] from Operation: 56-47=9 Current State: 75:[28, 3, 9], Operations: ['56-47=9'] Exploring Operation: 28*3=84, Resulting Numbers: [9, 84] Generated Node #3: [9, 84] from Operation: 28*3=84 Current State: 75:[9, 84], Operations: ['56-47=9', '28*3=84'] Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 28, 21, 57, 1 ]
42
[ "57-1=56", "56/28=2", "21*2=42" ]
Current State: 42:[28, 21, 57, 1], Operations: [] Exploring Operation: 57-1=56, Resulting Numbers: [28, 21, 56] Generated Node #2: [28, 21, 56] from Operation: 57-1=56 Current State: 42:[28, 21, 56], Operations: ['57-1=56'] Exploring Operation: 56/28=2, Resulting Numbers: [21, 2] Generated Node #3: [21, 2] from Operation: 56/28=2 Current State: 42:[21, 2], Operations: ['57-1=56', '56/28=2'] Exploring Operation: 21*2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 29, 13, 6, 23 ]
30
[ "29+13=42", "42/6=7", "23+7=30" ]
Current State: 30:[29, 13, 6, 23], Operations: [] Exploring Operation: 29+13=42, Resulting Numbers: [6, 23, 42] Generated Node #2: [6, 23, 42] from Operation: 29+13=42 Current State: 30:[6, 23, 42], Operations: ['29+13=42'] Exploring Operation: 42/6=7, Resulting Numbers: [23, 7] Generated Node #3: [23, 7] from Operation: 42/6=7 Current State: 30:[23, 7], Operations: ['29+13=42', '42/6=7'] Exploring Operation: 23+7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 28, 99, 2, 60 ]
97
[ "28+99=127", "60/2=30", "127-30=97" ]
Current State: 97:[28, 99, 2, 60], Operations: [] Exploring Operation: 28+99=127, Resulting Numbers: [2, 60, 127] Generated Node #2: [2, 60, 127] from Operation: 28+99=127 Current State: 97:[2, 60, 127], Operations: ['28+99=127'] Exploring Operation: 60/2=30, Resulting Numbers: [127, 30] Generated Node #3: [127, 30] from Operation: 60/2=30 Current State: 97:[127, 30], Operations: ['28+99=127', '60/2=30'] Exploring Operation: 127-30=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 72, 62, 41, 74 ]
72
[ "72-41=31", "62/31=2", "74-2=72" ]
Current State: 72:[72, 62, 41, 74], Operations: [] Exploring Operation: 72-41=31, Resulting Numbers: [62, 74, 31] Generated Node #2: [62, 74, 31] from Operation: 72-41=31 Current State: 72:[62, 74, 31], Operations: ['72-41=31'] Exploring Operation: 62/31=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 62/31=2 Current State: 72:[74, 2], Operations: ['72-41=31', '62/31=2'] Exploring Operation: 74-2=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 6, 32, 29, 2 ]
36
[ "6*2=12", "32-29=3", "12*3=36" ]
Current State: 36:[6, 32, 29, 2], Operations: [] Exploring Operation: 6*2=12, Resulting Numbers: [32, 29, 12] Generated Node #2: [32, 29, 12] from Operation: 6*2=12 Current State: 36:[32, 29, 12], Operations: ['6*2=12'] Exploring Operation: 32-29=3, Resulting Numbers: [12, 3] Generated Node #3: [12, 3] from Operation: 32-29=3 Current State: 36:[12, 3], Operations: ['6*2=12', '32-29=3'] Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 26, 10, 46, 42 ]
12
[ "26-10=16", "46-42=4", "16-4=12" ]
Current State: 12:[26, 10, 46, 42], Operations: [] Exploring Operation: 26-10=16, Resulting Numbers: [46, 42, 16] Generated Node #2: [46, 42, 16] from Operation: 26-10=16 Current State: 12:[46, 42, 16], Operations: ['26-10=16'] Exploring Operation: 46-42=4, Resulting Numbers: [16, 4] Generated Node #3: [16, 4] from Operation: 46-42=4 Current State: 12:[16, 4], Operations: ['26-10=16', '46-42=4'] Exploring Operation: 16-4=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 49, 27, 92, 7 ]
77
[ "49-27=22", "92+7=99", "99-22=77" ]
Current State: 77:[49, 27, 92, 7], Operations: [] Exploring Operation: 49-27=22, Resulting Numbers: [92, 7, 22] Generated Node #2: [92, 7, 22] from Operation: 49-27=22 Current State: 77:[92, 7, 22], Operations: ['49-27=22'] Exploring Operation: 92+7=99, Resulting Numbers: [22, 99] Generated Node #3: [22, 99] from Operation: 92+7=99 Current State: 77:[22, 99], Operations: ['49-27=22', '92+7=99'] Exploring Operation: 99-22=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 83, 17, 3, 5 ]
37
[ "83+5=88", "17*3=51", "88-51=37" ]
Current State: 37:[83, 17, 3, 5], Operations: [] Exploring Operation: 83+5=88, Resulting Numbers: [17, 3, 88] Generated Node #2: [17, 3, 88] from Operation: 83+5=88 Current State: 37:[17, 3, 88], Operations: ['83+5=88'] Exploring Operation: 17*3=51, Resulting Numbers: [88, 51] Generated Node #3: [88, 51] from Operation: 17*3=51 Current State: 37:[88, 51], Operations: ['83+5=88', '17*3=51'] Exploring Operation: 88-51=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 91, 2, 90 ]
97
[ "48*2=96", "91-90=1", "96+1=97" ]
Current State: 97:[48, 91, 2, 90], Operations: [] Exploring Operation: 48*2=96, Resulting Numbers: [91, 90, 96] Generated Node #2: [91, 90, 96] from Operation: 48*2=96 Current State: 97:[91, 90, 96], Operations: ['48*2=96'] Exploring Operation: 91-90=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 91-90=1 Current State: 97:[96, 1], Operations: ['48*2=96', '91-90=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 68, 17, 41 ]
78
[ "33+41=74", "68/17=4", "74+4=78" ]
Current State: 78:[33, 68, 17, 41], Operations: [] Exploring Operation: 33+41=74, Resulting Numbers: [68, 17, 74] Generated Node #2: [68, 17, 74] from Operation: 33+41=74 Current State: 78:[68, 17, 74], Operations: ['33+41=74'] Exploring Operation: 68/17=4, Resulting Numbers: [74, 4] Generated Node #3: [74, 4] from Operation: 68/17=4 Current State: 78:[74, 4], Operations: ['33+41=74', '68/17=4'] Exploring Operation: 74+4=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 71, 91, 71, 23 ]
74
[ "91-71=20", "71+23=94", "94-20=74" ]
Current State: 74:[71, 91, 71, 23], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [23, 20] Generated Node #2: [23, 20] from Operation: 91-71=20 Current State: 74:[23, 20], Operations: ['91-71=20'] Exploring Operation: 71+23=94, Resulting Numbers: [20, 94] Generated Node #3: [20, 94] from Operation: 71+23=94 Current State: 74:[20, 94], Operations: ['91-71=20', '71+23=94'] Exploring Operation: 94-20=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 47, 87, 9, 54 ]
27
[ "87+54=141", "141/47=3", "9*3=27" ]
Current State: 27:[47, 87, 9, 54], Operations: [] Exploring Operation: 87+54=141, Resulting Numbers: [47, 9, 141] Generated Node #2: [47, 9, 141] from Operation: 87+54=141 Current State: 27:[47, 9, 141], Operations: ['87+54=141'] Exploring Operation: 141/47=3, Resulting Numbers: [9, 3] Generated Node #3: [9, 3] from Operation: 141/47=3 Current State: 27:[9, 3], Operations: ['87+54=141', '141/47=3'] Exploring Operation: 9*3=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 37, 70, 45, 2 ]
74
[ "45-37=8", "8/2=4", "70+4=74" ]
Current State: 74:[37, 70, 45, 2], Operations: [] Exploring Operation: 45-37=8, Resulting Numbers: [70, 2, 8] Generated Node #2: [70, 2, 8] from Operation: 45-37=8 Current State: 74:[70, 2, 8], Operations: ['45-37=8'] Exploring Operation: 8/2=4, Resulting Numbers: [70, 4] Generated Node #3: [70, 4] from Operation: 8/2=4 Current State: 74:[70, 4], Operations: ['45-37=8', '8/2=4'] Exploring Operation: 70+4=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 55, 93, 56, 70 ]
52
[ "93-55=38", "70-56=14", "38+14=52" ]
Current State: 52:[55, 93, 56, 70], Operations: [] Exploring Operation: 93-55=38, Resulting Numbers: [56, 70, 38] Generated Node #2: [56, 70, 38] from Operation: 93-55=38 Current State: 52:[56, 70, 38], Operations: ['93-55=38'] Exploring Operation: 70-56=14, Resulting Numbers: [38, 14] Generated Node #3: [38, 14] from Operation: 70-56=14 Current State: 52:[38, 14], Operations: ['93-55=38', '70-56=14'] Exploring Operation: 38+14=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 60, 76, 29, 85 ]
81
[ "60+85=145", "145/29=5", "76+5=81" ]
Current State: 81:[60, 76, 29, 85], Operations: [] Exploring Operation: 60+85=145, Resulting Numbers: [76, 29, 145] Generated Node #2: [76, 29, 145] from Operation: 60+85=145 Current State: 81:[76, 29, 145], Operations: ['60+85=145'] Exploring Operation: 145/29=5, Resulting Numbers: [76, 5] Generated Node #3: [76, 5] from Operation: 145/29=5 Current State: 81:[76, 5], Operations: ['60+85=145', '145/29=5'] Exploring Operation: 76+5=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 60, 18, 14, 72 ]
72
[ "60*18=1080", "14*72=1008", "1080-1008=72" ]
Current State: 72:[60, 18, 14, 72], Operations: [] Exploring Operation: 60*18=1080, Resulting Numbers: [14, 72, 1080] Generated Node #2: [14, 72, 1080] from Operation: 60*18=1080 Current State: 72:[14, 72, 1080], Operations: ['60*18=1080'] Exploring Operation: 14*72=1008, Resulting Numbers: [1080, 1008] Generated Node #3: [1080, 1008] from Operation: 14*72=1008 Current State: 72:[1080, 1008], Operations: ['60*18=1080', '14*72=1008'] Exploring Operation: 1080-1008=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 2, 1, 24, 12 ]
31
[ "12/2=6", "1+24=25", "6+25=31" ]
Current State: 31:[2, 1, 24, 12], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [1, 24, 6] Generated Node #2: [1, 24, 6] from Operation: 12/2=6 Current State: 31:[1, 24, 6], Operations: ['12/2=6'] Exploring Operation: 1+24=25, Resulting Numbers: [6, 25] Generated Node #3: [6, 25] from Operation: 1+24=25 Current State: 31:[6, 25], Operations: ['12/2=6', '1+24=25'] Exploring Operation: 6+25=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 19, 98, 69 ]
46
[ "78*69=5382", "19+98=117", "5382/117=46" ]
Current State: 46:[78, 19, 98, 69], Operations: [] Exploring Operation: 78*69=5382, Resulting Numbers: [19, 98, 5382] Generated Node #2: [19, 98, 5382] from Operation: 78*69=5382 Current State: 46:[19, 98, 5382], Operations: ['78*69=5382'] Exploring Operation: 19+98=117, Resulting Numbers: [5382, 117] Generated Node #3: [5382, 117] from Operation: 19+98=117 Current State: 46:[5382, 117], Operations: ['78*69=5382', '19+98=117'] Exploring Operation: 5382/117=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 1, 36, 3, 72 ]
36
[ "1*36=36", "3*36=108", "108-72=36" ]
Current State: 36:[1, 36, 3, 72], Operations: [] Exploring Operation: 1*36=36, Resulting Numbers: [3, 72, 36] Generated Node #2: [3, 72, 36] from Operation: 1*36=36 Current State: 36:[3, 72, 36], Operations: ['1*36=36'] Exploring Operation: 3*36=108, Resulting Numbers: [72, 108] Generated Node #3: [72, 108] from Operation: 3*36=108 Current State: 36:[72, 108], Operations: ['1*36=36', '3*36=108'] Exploring Operation: 108-72=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 85, 34, 3, 54 ]
62
[ "85+34=119", "3+54=57", "119-57=62" ]
Current State: 62:[85, 34, 3, 54], Operations: [] Exploring Operation: 85+34=119, Resulting Numbers: [3, 54, 119] Generated Node #2: [3, 54, 119] from Operation: 85+34=119 Current State: 62:[3, 54, 119], Operations: ['85+34=119'] Exploring Operation: 3+54=57, Resulting Numbers: [119, 57] Generated Node #3: [119, 57] from Operation: 3+54=57 Current State: 62:[119, 57], Operations: ['85+34=119', '3+54=57'] Exploring Operation: 119-57=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 48, 84, 48, 1 ]
85
[ "48+84=132", "48-1=47", "132-47=85" ]
Current State: 85:[48, 84, 48, 1], Operations: [] Exploring Operation: 48+84=132, Resulting Numbers: [1, 132] Generated Node #2: [1, 132] from Operation: 48+84=132 Current State: 85:[1, 132], Operations: ['48+84=132'] Exploring Operation: 48-1=47, Resulting Numbers: [132, 47] Generated Node #3: [132, 47] from Operation: 48-1=47 Current State: 85:[132, 47], Operations: ['48+84=132', '48-1=47'] Exploring Operation: 132-47=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 24, 66, 1, 69 ]
48
[ "66+1=67", "69-67=2", "24*2=48" ]
Current State: 48:[24, 66, 1, 69], Operations: [] Exploring Operation: 66+1=67, Resulting Numbers: [24, 69, 67] Generated Node #2: [24, 69, 67] from Operation: 66+1=67 Current State: 48:[24, 69, 67], Operations: ['66+1=67'] Exploring Operation: 69-67=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 69-67=2 Current State: 48:[24, 2], Operations: ['66+1=67', '69-67=2'] Exploring Operation: 24*2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 47, 67, 37, 72 ]
89
[ "67-47=20", "37+72=109", "109-20=89" ]
Current State: 89:[47, 67, 37, 72], Operations: [] Exploring Operation: 67-47=20, Resulting Numbers: [37, 72, 20] Generated Node #2: [37, 72, 20] from Operation: 67-47=20 Current State: 89:[37, 72, 20], Operations: ['67-47=20'] Exploring Operation: 37+72=109, Resulting Numbers: [20, 109] Generated Node #3: [20, 109] from Operation: 37+72=109 Current State: 89:[20, 109], Operations: ['67-47=20', '37+72=109'] Exploring Operation: 109-20=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 14, 96, 4 ]
62
[ "11*14=154", "96-4=92", "154-92=62" ]
Current State: 62:[11, 14, 96, 4], Operations: [] Exploring Operation: 11*14=154, Resulting Numbers: [96, 4, 154] Generated Node #2: [96, 4, 154] from Operation: 11*14=154 Current State: 62:[96, 4, 154], Operations: ['11*14=154'] Exploring Operation: 96-4=92, Resulting Numbers: [154, 92] Generated Node #3: [154, 92] from Operation: 96-4=92 Current State: 62:[154, 92], Operations: ['11*14=154', '96-4=92'] Exploring Operation: 154-92=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 24, 79, 72, 10 ]
49
[ "72/24=3", "10*3=30", "79-30=49" ]
Current State: 49:[24, 79, 72, 10], Operations: [] Exploring Operation: 72/24=3, Resulting Numbers: [79, 10, 3] Generated Node #2: [79, 10, 3] from Operation: 72/24=3 Current State: 49:[79, 10, 3], Operations: ['72/24=3'] Exploring Operation: 10*3=30, Resulting Numbers: [79, 30] Generated Node #3: [79, 30] from Operation: 10*3=30 Current State: 49:[79, 30], Operations: ['72/24=3', '10*3=30'] Exploring Operation: 79-30=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 92, 80, 43, 69 ]
65
[ "92+80=172", "172/43=4", "69-4=65" ]
Current State: 65:[92, 80, 43, 69], Operations: [] Exploring Operation: 92+80=172, Resulting Numbers: [43, 69, 172] Generated Node #2: [43, 69, 172] from Operation: 92+80=172 Current State: 65:[43, 69, 172], Operations: ['92+80=172'] Exploring Operation: 172/43=4, Resulting Numbers: [69, 4] Generated Node #3: [69, 4] from Operation: 172/43=4 Current State: 65:[69, 4], Operations: ['92+80=172', '172/43=4'] Exploring Operation: 69-4=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 2, 27, 88, 50 ]
92
[ "2*27=54", "88-50=38", "54+38=92" ]
Current State: 92:[2, 27, 88, 50], Operations: [] Exploring Operation: 2*27=54, Resulting Numbers: [88, 50, 54] Generated Node #2: [88, 50, 54] from Operation: 2*27=54 Current State: 92:[88, 50, 54], Operations: ['2*27=54'] Exploring Operation: 88-50=38, Resulting Numbers: [54, 38] Generated Node #3: [54, 38] from Operation: 88-50=38 Current State: 92:[54, 38], Operations: ['2*27=54', '88-50=38'] Exploring Operation: 54+38=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 22, 64, 18, 83 ]
21
[ "22+64=86", "83-18=65", "86-65=21" ]
Current State: 21:[22, 64, 18, 83], Operations: [] Exploring Operation: 22+64=86, Resulting Numbers: [18, 83, 86] Generated Node #2: [18, 83, 86] from Operation: 22+64=86 Current State: 21:[18, 83, 86], Operations: ['22+64=86'] Exploring Operation: 83-18=65, Resulting Numbers: [86, 65] Generated Node #3: [86, 65] from Operation: 83-18=65 Current State: 21:[86, 65], Operations: ['22+64=86', '83-18=65'] Exploring Operation: 86-65=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 98, 24, 50, 65 ]
89
[ "98-24=74", "65-50=15", "74+15=89" ]
Current State: 89:[98, 24, 50, 65], Operations: [] Exploring Operation: 98-24=74, Resulting Numbers: [50, 65, 74] Generated Node #2: [50, 65, 74] from Operation: 98-24=74 Current State: 89:[50, 65, 74], Operations: ['98-24=74'] Exploring Operation: 65-50=15, Resulting Numbers: [74, 15] Generated Node #3: [74, 15] from Operation: 65-50=15 Current State: 89:[74, 15], Operations: ['98-24=74', '65-50=15'] Exploring Operation: 74+15=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 66, 10, 97, 82 ]
61
[ "66+10=76", "97-82=15", "76-15=61" ]
Current State: 61:[66, 10, 97, 82], Operations: [] Exploring Operation: 66+10=76, Resulting Numbers: [97, 82, 76] Generated Node #2: [97, 82, 76] from Operation: 66+10=76 Current State: 61:[97, 82, 76], Operations: ['66+10=76'] Exploring Operation: 97-82=15, Resulting Numbers: [76, 15] Generated Node #3: [76, 15] from Operation: 97-82=15 Current State: 61:[76, 15], Operations: ['66+10=76', '97-82=15'] Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 30, 80, 56, 15 ]
52
[ "30/15=2", "56/2=28", "80-28=52" ]
Current State: 52:[30, 80, 56, 15], Operations: [] Exploring Operation: 30/15=2, Resulting Numbers: [80, 56, 2] Generated Node #2: [80, 56, 2] from Operation: 30/15=2 Current State: 52:[80, 56, 2], Operations: ['30/15=2'] Exploring Operation: 56/2=28, Resulting Numbers: [80, 28] Generated Node #3: [80, 28] from Operation: 56/2=28 Current State: 52:[80, 28], Operations: ['30/15=2', '56/2=28'] Exploring Operation: 80-28=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 85, 90, 54, 37 ]
85
[ "90-85=5", "54-37=17", "5*17=85" ]
Current State: 85:[85, 90, 54, 37], Operations: [] Exploring Operation: 90-85=5, Resulting Numbers: [54, 37, 5] Generated Node #2: [54, 37, 5] from Operation: 90-85=5 Current State: 85:[54, 37, 5], Operations: ['90-85=5'] Exploring Operation: 54-37=17, Resulting Numbers: [5, 17] Generated Node #3: [5, 17] from Operation: 54-37=17 Current State: 85:[5, 17], Operations: ['90-85=5', '54-37=17'] Exploring Operation: 5*17=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 5, 57, 76, 59 ]
48
[ "5+59=64", "57*64=3648", "3648/76=48" ]
Current State: 48:[5, 57, 76, 59], Operations: [] Exploring Operation: 5+59=64, Resulting Numbers: [57, 76, 64] Generated Node #2: [57, 76, 64] from Operation: 5+59=64 Current State: 48:[57, 76, 64], Operations: ['5+59=64'] Exploring Operation: 57*64=3648, Resulting Numbers: [76, 3648] Generated Node #3: [76, 3648] from Operation: 57*64=3648 Current State: 48:[76, 3648], Operations: ['5+59=64', '57*64=3648'] Exploring Operation: 3648/76=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 58, 2, 8, 75 ]
100
[ "58-8=50", "2*75=150", "150-50=100" ]
Current State: 100:[58, 2, 8, 75], Operations: [] Exploring Operation: 58-8=50, Resulting Numbers: [2, 75, 50] Generated Node #2: [2, 75, 50] from Operation: 58-8=50 Current State: 100:[2, 75, 50], Operations: ['58-8=50'] Exploring Operation: 2*75=150, Resulting Numbers: [50, 150] Generated Node #3: [50, 150] from Operation: 2*75=150 Current State: 100:[50, 150], Operations: ['58-8=50', '2*75=150'] Exploring Operation: 150-50=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 59, 25, 5, 57 ]
10
[ "59-57=2", "25-5=20", "20/2=10" ]
Current State: 10:[59, 25, 5, 57], Operations: [] Exploring Operation: 59-57=2, Resulting Numbers: [25, 5, 2] Generated Node #2: [25, 5, 2] from Operation: 59-57=2 Current State: 10:[25, 5, 2], Operations: ['59-57=2'] Exploring Operation: 25-5=20, Resulting Numbers: [2, 20] Generated Node #3: [2, 20] from Operation: 25-5=20 Current State: 10:[2, 20], Operations: ['59-57=2', '25-5=20'] Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 30, 63, 59, 11 ]
76
[ "30-11=19", "63-59=4", "19*4=76" ]
Current State: 76:[30, 63, 59, 11], Operations: [] Exploring Operation: 30-11=19, Resulting Numbers: [63, 59, 19] Generated Node #2: [63, 59, 19] from Operation: 30-11=19 Current State: 76:[63, 59, 19], Operations: ['30-11=19'] Exploring Operation: 63-59=4, Resulting Numbers: [19, 4] Generated Node #3: [19, 4] from Operation: 63-59=4 Current State: 76:[19, 4], Operations: ['30-11=19', '63-59=4'] Exploring Operation: 19*4=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 34, 46, 41 ]
31
[ "60-34=26", "46-41=5", "26+5=31" ]
Current State: 31:[60, 34, 46, 41], Operations: [] Exploring Operation: 60-34=26, Resulting Numbers: [46, 41, 26] Generated Node #2: [46, 41, 26] from Operation: 60-34=26 Current State: 31:[46, 41, 26], Operations: ['60-34=26'] Exploring Operation: 46-41=5, Resulting Numbers: [26, 5] Generated Node #3: [26, 5] from Operation: 46-41=5 Current State: 31:[26, 5], Operations: ['60-34=26', '46-41=5'] Exploring Operation: 26+5=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 93, 76, 98, 50 ]
86
[ "98-93=5", "50/5=10", "76+10=86" ]
Current State: 86:[93, 76, 98, 50], Operations: [] Exploring Operation: 98-93=5, Resulting Numbers: [76, 50, 5] Generated Node #2: [76, 50, 5] from Operation: 98-93=5 Current State: 86:[76, 50, 5], Operations: ['98-93=5'] Exploring Operation: 50/5=10, Resulting Numbers: [76, 10] Generated Node #3: [76, 10] from Operation: 50/5=10 Current State: 86:[76, 10], Operations: ['98-93=5', '50/5=10'] Exploring Operation: 76+10=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 36, 64, 33, 9 ]
58
[ "36+64=100", "33+9=42", "100-42=58" ]
Current State: 58:[36, 64, 33, 9], Operations: [] Exploring Operation: 36+64=100, Resulting Numbers: [33, 9, 100] Generated Node #2: [33, 9, 100] from Operation: 36+64=100 Current State: 58:[33, 9, 100], Operations: ['36+64=100'] Exploring Operation: 33+9=42, Resulting Numbers: [100, 42] Generated Node #3: [100, 42] from Operation: 33+9=42 Current State: 58:[100, 42], Operations: ['36+64=100', '33+9=42'] Exploring Operation: 100-42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 45, 60, 33, 41 ]
97
[ "45+60=105", "41-33=8", "105-8=97" ]
Current State: 97:[45, 60, 33, 41], Operations: [] Exploring Operation: 45+60=105, Resulting Numbers: [33, 41, 105] Generated Node #2: [33, 41, 105] from Operation: 45+60=105 Current State: 97:[33, 41, 105], Operations: ['45+60=105'] Exploring Operation: 41-33=8, Resulting Numbers: [105, 8] Generated Node #3: [105, 8] from Operation: 41-33=8 Current State: 97:[105, 8], Operations: ['45+60=105', '41-33=8'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 75, 8, 96 ]
95
[ "82-75=7", "96-8=88", "7+88=95" ]
Current State: 95:[82, 75, 8, 96], Operations: [] Exploring Operation: 82-75=7, Resulting Numbers: [8, 96, 7] Generated Node #2: [8, 96, 7] from Operation: 82-75=7 Current State: 95:[8, 96, 7], Operations: ['82-75=7'] Exploring Operation: 96-8=88, Resulting Numbers: [7, 88] Generated Node #3: [7, 88] from Operation: 96-8=88 Current State: 95:[7, 88], Operations: ['82-75=7', '96-8=88'] Exploring Operation: 7+88=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 1, 16, 76, 15 ]
77
[ "1*16=16", "76-15=61", "16+61=77" ]
Current State: 77:[1, 16, 76, 15], Operations: [] Exploring Operation: 1*16=16, Resulting Numbers: [76, 15, 16] Generated Node #2: [76, 15, 16] from Operation: 1*16=16 Current State: 77:[76, 15, 16], Operations: ['1*16=16'] Exploring Operation: 76-15=61, Resulting Numbers: [16, 61] Generated Node #3: [16, 61] from Operation: 76-15=61 Current State: 77:[16, 61], Operations: ['1*16=16', '76-15=61'] Exploring Operation: 16+61=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 51, 13, 25, 57 ]
53
[ "57-51=6", "13*6=78", "78-25=53" ]
Current State: 53:[51, 13, 25, 57], Operations: [] Exploring Operation: 57-51=6, Resulting Numbers: [13, 25, 6] Generated Node #2: [13, 25, 6] from Operation: 57-51=6 Current State: 53:[13, 25, 6], Operations: ['57-51=6'] Exploring Operation: 13*6=78, Resulting Numbers: [25, 78] Generated Node #3: [25, 78] from Operation: 13*6=78 Current State: 53:[25, 78], Operations: ['57-51=6', '13*6=78'] Exploring Operation: 78-25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 94, 25, 55, 27 ]
85
[ "94*25=2350", "2350-55=2295", "2295/27=85" ]
Current State: 85:[94, 25, 55, 27], Operations: [] Exploring Operation: 94*25=2350, Resulting Numbers: [55, 27, 2350] Generated Node #2: [55, 27, 2350] from Operation: 94*25=2350 Current State: 85:[55, 27, 2350], Operations: ['94*25=2350'] Exploring Operation: 2350-55=2295, Resulting Numbers: [27, 2295] Generated Node #3: [27, 2295] from Operation: 2350-55=2295 Current State: 85:[27, 2295], Operations: ['94*25=2350', '2350-55=2295'] Exploring Operation: 2295/27=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 20, 77, 63, 91 ]
57
[ "20+77=97", "63+91=154", "154-97=57" ]
Current State: 57:[20, 77, 63, 91], Operations: [] Exploring Operation: 20+77=97, Resulting Numbers: [63, 91, 97] Generated Node #2: [63, 91, 97] from Operation: 20+77=97 Current State: 57:[63, 91, 97], Operations: ['20+77=97'] Exploring Operation: 63+91=154, Resulting Numbers: [97, 154] Generated Node #3: [97, 154] from Operation: 63+91=154 Current State: 57:[97, 154], Operations: ['20+77=97', '63+91=154'] Exploring Operation: 154-97=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 49, 72, 14, 35 ]
71
[ "49-14=35", "35/35=1", "72-1=71" ]
Current State: 71:[49, 72, 14, 35], Operations: [] Exploring Operation: 49-14=35, Resulting Numbers: [72, 35, 35] Generated Node #2: [72, 35, 35] from Operation: 49-14=35 Current State: 71:[72, 35, 35], Operations: ['49-14=35'] Exploring Operation: 35/35=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 35/35=1 Current State: 71:[72, 1], Operations: ['49-14=35', '35/35=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 7, 6, 21, 80 ]
72
[ "7+6=13", "80-21=59", "13+59=72" ]
Current State: 72:[7, 6, 21, 80], Operations: [] Exploring Operation: 7+6=13, Resulting Numbers: [21, 80, 13] Generated Node #2: [21, 80, 13] from Operation: 7+6=13 Current State: 72:[21, 80, 13], Operations: ['7+6=13'] Exploring Operation: 80-21=59, Resulting Numbers: [13, 59] Generated Node #3: [13, 59] from Operation: 80-21=59 Current State: 72:[13, 59], Operations: ['7+6=13', '80-21=59'] Exploring Operation: 13+59=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 77, 88, 25, 22 ]
33
[ "88-77=11", "25-22=3", "11*3=33" ]
Current State: 33:[77, 88, 25, 22], Operations: [] Exploring Operation: 88-77=11, Resulting Numbers: [25, 22, 11] Generated Node #2: [25, 22, 11] from Operation: 88-77=11 Current State: 33:[25, 22, 11], Operations: ['88-77=11'] Exploring Operation: 25-22=3, Resulting Numbers: [11, 3] Generated Node #3: [11, 3] from Operation: 25-22=3 Current State: 33:[11, 3], Operations: ['88-77=11', '25-22=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 18, 45, 60, 55 ]
24
[ "55-45=10", "60/10=6", "18+6=24" ]
Current State: 24:[18, 45, 60, 55], Operations: [] Exploring Operation: 55-45=10, Resulting Numbers: [18, 60, 10] Generated Node #2: [18, 60, 10] from Operation: 55-45=10 Current State: 24:[18, 60, 10], Operations: ['55-45=10'] Exploring Operation: 60/10=6, Resulting Numbers: [18, 6] Generated Node #3: [18, 6] from Operation: 60/10=6 Current State: 24:[18, 6], Operations: ['55-45=10', '60/10=6'] Exploring Operation: 18+6=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 9, 47, 10, 85 ]
42
[ "9*10=90", "47+85=132", "132-90=42" ]
Current State: 42:[9, 47, 10, 85], Operations: [] Exploring Operation: 9*10=90, Resulting Numbers: [47, 85, 90] Generated Node #2: [47, 85, 90] from Operation: 9*10=90 Current State: 42:[47, 85, 90], Operations: ['9*10=90'] Exploring Operation: 47+85=132, Resulting Numbers: [90, 132] Generated Node #3: [90, 132] from Operation: 47+85=132 Current State: 42:[90, 132], Operations: ['9*10=90', '47+85=132'] Exploring Operation: 132-90=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 45, 8, 13, 32 ]
56
[ "45*8=360", "13*32=416", "416-360=56" ]
Current State: 56:[45, 8, 13, 32], Operations: [] Exploring Operation: 45*8=360, Resulting Numbers: [13, 32, 360] Generated Node #2: [13, 32, 360] from Operation: 45*8=360 Current State: 56:[13, 32, 360], Operations: ['45*8=360'] Exploring Operation: 13*32=416, Resulting Numbers: [360, 416] Generated Node #3: [360, 416] from Operation: 13*32=416 Current State: 56:[360, 416], Operations: ['45*8=360', '13*32=416'] Exploring Operation: 416-360=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 80, 80, 10, 8 ]
17
[ "80/80=1", "10+8=18", "18-1=17" ]
Current State: 17:[80, 80, 10, 8], Operations: [] Exploring Operation: 80/80=1, Resulting Numbers: [10, 8, 1] Generated Node #2: [10, 8, 1] from Operation: 80/80=1 Current State: 17:[10, 8, 1], Operations: ['80/80=1'] Exploring Operation: 10+8=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 10+8=18 Current State: 17:[1, 18], Operations: ['80/80=1', '10+8=18'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 90, 29, 85, 70 ]
94
[ "90-29=61", "85+70=155", "155-61=94" ]
Current State: 94:[90, 29, 85, 70], Operations: [] Exploring Operation: 90-29=61, Resulting Numbers: [85, 70, 61] Generated Node #2: [85, 70, 61] from Operation: 90-29=61 Current State: 94:[85, 70, 61], Operations: ['90-29=61'] Exploring Operation: 85+70=155, Resulting Numbers: [61, 155] Generated Node #3: [61, 155] from Operation: 85+70=155 Current State: 94:[61, 155], Operations: ['90-29=61', '85+70=155'] Exploring Operation: 155-61=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 62, 45, 20, 90 ]
30
[ "62-45=17", "20-17=3", "90/3=30" ]
Current State: 30:[62, 45, 20, 90], Operations: [] Exploring Operation: 62-45=17, Resulting Numbers: [20, 90, 17] Generated Node #2: [20, 90, 17] from Operation: 62-45=17 Current State: 30:[20, 90, 17], Operations: ['62-45=17'] Exploring Operation: 20-17=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 20-17=3 Current State: 30:[90, 3], Operations: ['62-45=17', '20-17=3'] Exploring Operation: 90/3=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 78, 86, 75, 34 ]
16
[ "78-75=3", "34*3=102", "102-86=16" ]
Current State: 16:[78, 86, 75, 34], Operations: [] Exploring Operation: 78-75=3, Resulting Numbers: [86, 34, 3] Generated Node #2: [86, 34, 3] from Operation: 78-75=3 Current State: 16:[86, 34, 3], Operations: ['78-75=3'] Exploring Operation: 34*3=102, Resulting Numbers: [86, 102] Generated Node #3: [86, 102] from Operation: 34*3=102 Current State: 16:[86, 102], Operations: ['78-75=3', '34*3=102'] Exploring Operation: 102-86=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 2, 62, 7, 88 ]
82
[ "62+88=150", "150/2=75", "7+75=82" ]
Current State: 82:[2, 62, 7, 88], Operations: [] Exploring Operation: 62+88=150, Resulting Numbers: [2, 7, 150] Generated Node #2: [2, 7, 150] from Operation: 62+88=150 Current State: 82:[2, 7, 150], Operations: ['62+88=150'] Exploring Operation: 150/2=75, Resulting Numbers: [7, 75] Generated Node #3: [7, 75] from Operation: 150/2=75 Current State: 82:[7, 75], Operations: ['62+88=150', '150/2=75'] Exploring Operation: 7+75=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 87, 7, 9, 17 ]
72
[ "87-7=80", "17-9=8", "80-8=72" ]
Current State: 72:[87, 7, 9, 17], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [9, 17, 80] Generated Node #2: [9, 17, 80] from Operation: 87-7=80 Current State: 72:[9, 17, 80], Operations: ['87-7=80'] Exploring Operation: 17-9=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 17-9=8 Current State: 72:[80, 8], Operations: ['87-7=80', '17-9=8'] Exploring Operation: 80-8=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 72, 72, 5, 56 ]
51
[ "72-72=0", "56-5=51", "0+51=51" ]
Current State: 51:[72, 72, 5, 56], Operations: [] Exploring Operation: 72-72=0, Resulting Numbers: [5, 56, 0] Generated Node #2: [5, 56, 0] from Operation: 72-72=0 Current State: 51:[5, 56, 0], Operations: ['72-72=0'] Exploring Operation: 56-5=51, Resulting Numbers: [0, 51] Generated Node #3: [0, 51] from Operation: 56-5=51 Current State: 51:[0, 51], Operations: ['72-72=0', '56-5=51'] Exploring Operation: 0+51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 93, 87, 54, 36 ]
15
[ "93-87=6", "54+36=90", "90/6=15" ]
Current State: 15:[93, 87, 54, 36], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [54, 36, 6] Generated Node #2: [54, 36, 6] from Operation: 93-87=6 Current State: 15:[54, 36, 6], Operations: ['93-87=6'] Exploring Operation: 54+36=90, Resulting Numbers: [6, 90] Generated Node #3: [6, 90] from Operation: 54+36=90 Current State: 15:[6, 90], Operations: ['93-87=6', '54+36=90'] Exploring Operation: 90/6=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 61, 76, 22, 81 ]
34
[ "61+76=137", "22+81=103", "137-103=34" ]
Current State: 34:[61, 76, 22, 81], Operations: [] Exploring Operation: 61+76=137, Resulting Numbers: [22, 81, 137] Generated Node #2: [22, 81, 137] from Operation: 61+76=137 Current State: 34:[22, 81, 137], Operations: ['61+76=137'] Exploring Operation: 22+81=103, Resulting Numbers: [137, 103] Generated Node #3: [137, 103] from Operation: 22+81=103 Current State: 34:[137, 103], Operations: ['61+76=137', '22+81=103'] Exploring Operation: 137-103=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 7, 90, 44, 17 ]
93
[ "7+44=51", "51/17=3", "90+3=93" ]
Current State: 93:[7, 90, 44, 17], Operations: [] Exploring Operation: 7+44=51, Resulting Numbers: [90, 17, 51] Generated Node #2: [90, 17, 51] from Operation: 7+44=51 Current State: 93:[90, 17, 51], Operations: ['7+44=51'] Exploring Operation: 51/17=3, Resulting Numbers: [90, 3] Generated Node #3: [90, 3] from Operation: 51/17=3 Current State: 93:[90, 3], Operations: ['7+44=51', '51/17=3'] Exploring Operation: 90+3=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 66, 1, 34 ]
61
[ "1+34=35", "35/7=5", "66-5=61" ]
Current State: 61:[7, 66, 1, 34], Operations: [] Exploring Operation: 1+34=35, Resulting Numbers: [7, 66, 35] Generated Node #2: [7, 66, 35] from Operation: 1+34=35 Current State: 61:[7, 66, 35], Operations: ['1+34=35'] Exploring Operation: 35/7=5, Resulting Numbers: [66, 5] Generated Node #3: [66, 5] from Operation: 35/7=5 Current State: 61:[66, 5], Operations: ['1+34=35', '35/7=5'] Exploring Operation: 66-5=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 78, 81, 40, 48 ]
16
[ "78*40=3120", "3120/48=65", "81-65=16" ]
Current State: 16:[78, 81, 40, 48], Operations: [] Exploring Operation: 78*40=3120, Resulting Numbers: [81, 48, 3120] Generated Node #2: [81, 48, 3120] from Operation: 78*40=3120 Current State: 16:[81, 48, 3120], Operations: ['78*40=3120'] Exploring Operation: 3120/48=65, Resulting Numbers: [81, 65] Generated Node #3: [81, 65] from Operation: 3120/48=65 Current State: 16:[81, 65], Operations: ['78*40=3120', '3120/48=65'] Exploring Operation: 81-65=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 25, 51, 9, 3 ]
53
[ "51-25=26", "9*3=27", "26+27=53" ]
Current State: 53:[25, 51, 9, 3], Operations: [] Exploring Operation: 51-25=26, Resulting Numbers: [9, 3, 26] Generated Node #2: [9, 3, 26] from Operation: 51-25=26 Current State: 53:[9, 3, 26], Operations: ['51-25=26'] Exploring Operation: 9*3=27, Resulting Numbers: [26, 27] Generated Node #3: [26, 27] from Operation: 9*3=27 Current State: 53:[26, 27], Operations: ['51-25=26', '9*3=27'] Exploring Operation: 26+27=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 18, 54, 33, 46 ]
10
[ "54/18=3", "46-33=13", "13-3=10" ]
Current State: 10:[18, 54, 33, 46], Operations: [] Exploring Operation: 54/18=3, Resulting Numbers: [33, 46, 3] Generated Node #2: [33, 46, 3] from Operation: 54/18=3 Current State: 10:[33, 46, 3], Operations: ['54/18=3'] Exploring Operation: 46-33=13, Resulting Numbers: [3, 13] Generated Node #3: [3, 13] from Operation: 46-33=13 Current State: 10:[3, 13], Operations: ['54/18=3', '46-33=13'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 83, 97, 23, 57 ]
66
[ "97-83=14", "23+57=80", "80-14=66" ]
Current State: 66:[83, 97, 23, 57], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [23, 57, 14] Generated Node #2: [23, 57, 14] from Operation: 97-83=14 Current State: 66:[23, 57, 14], Operations: ['97-83=14'] Exploring Operation: 23+57=80, Resulting Numbers: [14, 80] Generated Node #3: [14, 80] from Operation: 23+57=80 Current State: 66:[14, 80], Operations: ['97-83=14', '23+57=80'] Exploring Operation: 80-14=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 81, 3, 94, 45 ]
29
[ "81-3=78", "94-45=49", "78-49=29" ]
Current State: 29:[81, 3, 94, 45], Operations: [] Exploring Operation: 81-3=78, Resulting Numbers: [94, 45, 78] Generated Node #2: [94, 45, 78] from Operation: 81-3=78 Current State: 29:[94, 45, 78], Operations: ['81-3=78'] Exploring Operation: 94-45=49, Resulting Numbers: [78, 49] Generated Node #3: [78, 49] from Operation: 94-45=49 Current State: 29:[78, 49], Operations: ['81-3=78', '94-45=49'] Exploring Operation: 78-49=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 82, 68, 60, 23 ]
97
[ "82-68=14", "60+23=83", "14+83=97" ]
Current State: 97:[82, 68, 60, 23], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [60, 23, 14] Generated Node #2: [60, 23, 14] from Operation: 82-68=14 Current State: 97:[60, 23, 14], Operations: ['82-68=14'] Exploring Operation: 60+23=83, Resulting Numbers: [14, 83] Generated Node #3: [14, 83] from Operation: 60+23=83 Current State: 97:[14, 83], Operations: ['82-68=14', '60+23=83'] Exploring Operation: 14+83=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 82, 86, 38, 41 ]
10
[ "82*38=3116", "3116/41=76", "86-76=10" ]
Current State: 10:[82, 86, 38, 41], Operations: [] Exploring Operation: 82*38=3116, Resulting Numbers: [86, 41, 3116] Generated Node #2: [86, 41, 3116] from Operation: 82*38=3116 Current State: 10:[86, 41, 3116], Operations: ['82*38=3116'] Exploring Operation: 3116/41=76, Resulting Numbers: [86, 76] Generated Node #3: [86, 76] from Operation: 3116/41=76 Current State: 10:[86, 76], Operations: ['82*38=3116', '3116/41=76'] Exploring Operation: 86-76=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 21, 92, 13, 29 ]
39
[ "92-29=63", "63/21=3", "13*3=39" ]
Current State: 39:[21, 92, 13, 29], Operations: [] Exploring Operation: 92-29=63, Resulting Numbers: [21, 13, 63] Generated Node #2: [21, 13, 63] from Operation: 92-29=63 Current State: 39:[21, 13, 63], Operations: ['92-29=63'] Exploring Operation: 63/21=3, Resulting Numbers: [13, 3] Generated Node #3: [13, 3] from Operation: 63/21=3 Current State: 39:[13, 3], Operations: ['92-29=63', '63/21=3'] Exploring Operation: 13*3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 74, 75, 2, 84 ]
70
[ "84-74=10", "10/2=5", "75-5=70" ]
Current State: 70:[74, 75, 2, 84], Operations: [] Exploring Operation: 84-74=10, Resulting Numbers: [75, 2, 10] Generated Node #2: [75, 2, 10] from Operation: 84-74=10 Current State: 70:[75, 2, 10], Operations: ['84-74=10'] Exploring Operation: 10/2=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 10/2=5 Current State: 70:[75, 5], Operations: ['84-74=10', '10/2=5'] Exploring Operation: 75-5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 76, 38, 43, 19 ]
41
[ "76-38=38", "38/19=2", "43-2=41" ]
Current State: 41:[76, 38, 43, 19], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [43, 19, 38] Generated Node #2: [43, 19, 38] from Operation: 76-38=38 Current State: 41:[43, 19, 38], Operations: ['76-38=38'] Exploring Operation: 38/19=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 38/19=2 Current State: 41:[43, 2], Operations: ['76-38=38', '38/19=2'] Exploring Operation: 43-2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 40, 22, 27, 25 ]
42
[ "27-25=2", "40/2=20", "22+20=42" ]
Current State: 42:[40, 22, 27, 25], Operations: [] Exploring Operation: 27-25=2, Resulting Numbers: [40, 22, 2] Generated Node #2: [40, 22, 2] from Operation: 27-25=2 Current State: 42:[40, 22, 2], Operations: ['27-25=2'] Exploring Operation: 40/2=20, Resulting Numbers: [22, 20] Generated Node #3: [22, 20] from Operation: 40/2=20 Current State: 42:[22, 20], Operations: ['27-25=2', '40/2=20'] Exploring Operation: 22+20=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 26, 28, 63, 9 ]
57
[ "26+28=54", "54/9=6", "63-6=57" ]
Current State: 57:[26, 28, 63, 9], Operations: [] Exploring Operation: 26+28=54, Resulting Numbers: [63, 9, 54] Generated Node #2: [63, 9, 54] from Operation: 26+28=54 Current State: 57:[63, 9, 54], Operations: ['26+28=54'] Exploring Operation: 54/9=6, Resulting Numbers: [63, 6] Generated Node #3: [63, 6] from Operation: 54/9=6 Current State: 57:[63, 6], Operations: ['26+28=54', '54/9=6'] Exploring Operation: 63-6=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 26, 13, 13, 39 ]
10
[ "26-13=13", "39/13=3", "13-3=10" ]
Current State: 10:[26, 13, 13, 39], Operations: [] Exploring Operation: 26-13=13, Resulting Numbers: [39, 13] Generated Node #2: [39, 13] from Operation: 26-13=13 Current State: 10:[39, 13], Operations: ['26-13=13'] Exploring Operation: 39/13=3, Resulting Numbers: [3] 3,10 equal: Goal Reached Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 8, 55, 59, 82 ]
86
[ "8+55=63", "82-59=23", "63+23=86" ]
Current State: 86:[8, 55, 59, 82], Operations: [] Exploring Operation: 8+55=63, Resulting Numbers: [59, 82, 63] Generated Node #2: [59, 82, 63] from Operation: 8+55=63 Current State: 86:[59, 82, 63], Operations: ['8+55=63'] Exploring Operation: 82-59=23, Resulting Numbers: [63, 23] Generated Node #3: [63, 23] from Operation: 82-59=23 Current State: 86:[63, 23], Operations: ['8+55=63', '82-59=23'] Exploring Operation: 63+23=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 88, 74, 64, 22 ]
14
[ "88/22=4", "74-64=10", "4+10=14" ]
Current State: 14:[88, 74, 64, 22], Operations: [] Exploring Operation: 88/22=4, Resulting Numbers: [74, 64, 4] Generated Node #2: [74, 64, 4] from Operation: 88/22=4 Current State: 14:[74, 64, 4], Operations: ['88/22=4'] Exploring Operation: 74-64=10, Resulting Numbers: [4, 10] Generated Node #3: [4, 10] from Operation: 74-64=10 Current State: 14:[4, 10], Operations: ['88/22=4', '74-64=10'] Exploring Operation: 4+10=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 75, 8, 9, 36 ]
63
[ "75-8=67", "36/9=4", "67-4=63" ]
Current State: 63:[75, 8, 9, 36], Operations: [] Exploring Operation: 75-8=67, Resulting Numbers: [9, 36, 67] Generated Node #2: [9, 36, 67] from Operation: 75-8=67 Current State: 63:[9, 36, 67], Operations: ['75-8=67'] Exploring Operation: 36/9=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 36/9=4 Current State: 63:[67, 4], Operations: ['75-8=67', '36/9=4'] Exploring Operation: 67-4=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 9, 84, 46, 42 ]
28
[ "9*84=756", "756/42=18", "46-18=28" ]
Current State: 28:[9, 84, 46, 42], Operations: [] Exploring Operation: 9*84=756, Resulting Numbers: [46, 42, 756] Generated Node #2: [46, 42, 756] from Operation: 9*84=756 Current State: 28:[46, 42, 756], Operations: ['9*84=756'] Exploring Operation: 756/42=18, Resulting Numbers: [46, 18] Generated Node #3: [46, 18] from Operation: 756/42=18 Current State: 28:[46, 18], Operations: ['9*84=756', '756/42=18'] Exploring Operation: 46-18=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 28, 33, 26, 50 ]
99
[ "28+50=78", "33*78=2574", "2574/26=99" ]
Current State: 99:[28, 33, 26, 50], Operations: [] Exploring Operation: 28+50=78, Resulting Numbers: [33, 26, 78] Generated Node #2: [33, 26, 78] from Operation: 28+50=78 Current State: 99:[33, 26, 78], Operations: ['28+50=78'] Exploring Operation: 33*78=2574, Resulting Numbers: [26, 2574] Generated Node #3: [26, 2574] from Operation: 33*78=2574 Current State: 99:[26, 2574], Operations: ['28+50=78', '33*78=2574'] Exploring Operation: 2574/26=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 20, 73, 8 ]
12
[ "73-69=4", "8*4=32", "32-20=12" ]
Current State: 12:[69, 20, 73, 8], Operations: [] Exploring Operation: 73-69=4, Resulting Numbers: [20, 8, 4] Generated Node #2: [20, 8, 4] from Operation: 73-69=4 Current State: 12:[20, 8, 4], Operations: ['73-69=4'] Exploring Operation: 8*4=32, Resulting Numbers: [20, 32] Generated Node #3: [20, 32] from Operation: 8*4=32 Current State: 12:[20, 32], Operations: ['73-69=4', '8*4=32'] Exploring Operation: 32-20=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 18, 17, 16, 67 ]
85
[ "18+67=85", "17-16=1", "85*1=85" ]
Current State: 85:[18, 17, 16, 67], Operations: [] Exploring Operation: 18+67=85, Resulting Numbers: [17, 16, 85] Generated Node #2: [17, 16, 85] from Operation: 18+67=85 Current State: 85:[17, 16, 85], Operations: ['18+67=85'] Exploring Operation: 17-16=1, Resulting Numbers: [85, 1] Generated Node #3: [85, 1] from Operation: 17-16=1 Current State: 85:[85, 1], Operations: ['18+67=85', '17-16=1'] Exploring Operation: 85*1=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 85, 29, 18, 26 ]
12
[ "85-29=56", "18+26=44", "56-44=12" ]
Current State: 12:[85, 29, 18, 26], Operations: [] Exploring Operation: 85-29=56, Resulting Numbers: [18, 26, 56] Generated Node #2: [18, 26, 56] from Operation: 85-29=56 Current State: 12:[18, 26, 56], Operations: ['85-29=56'] Exploring Operation: 18+26=44, Resulting Numbers: [56, 44] Generated Node #3: [56, 44] from Operation: 18+26=44 Current State: 12:[56, 44], Operations: ['85-29=56', '18+26=44'] Exploring Operation: 56-44=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 35, 85, 72, 2 ]
11
[ "85-35=50", "72-50=22", "22/2=11" ]
Current State: 11:[35, 85, 72, 2], Operations: [] Exploring Operation: 85-35=50, Resulting Numbers: [72, 2, 50] Generated Node #2: [72, 2, 50] from Operation: 85-35=50 Current State: 11:[72, 2, 50], Operations: ['85-35=50'] Exploring Operation: 72-50=22, Resulting Numbers: [2, 22] Generated Node #3: [2, 22] from Operation: 72-50=22 Current State: 11:[2, 22], Operations: ['85-35=50', '72-50=22'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 60, 34, 19, 94 ]
90
[ "34-19=15", "60/15=4", "94-4=90" ]
Current State: 90:[60, 34, 19, 94], Operations: [] Exploring Operation: 34-19=15, Resulting Numbers: [60, 94, 15] Generated Node #2: [60, 94, 15] from Operation: 34-19=15 Current State: 90:[60, 94, 15], Operations: ['34-19=15'] Exploring Operation: 60/15=4, Resulting Numbers: [94, 4] Generated Node #3: [94, 4] from Operation: 60/15=4 Current State: 90:[94, 4], Operations: ['34-19=15', '60/15=4'] Exploring Operation: 94-4=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 67, 16, 94, 73 ]
62
[ "67+16=83", "94-73=21", "83-21=62" ]
Current State: 62:[67, 16, 94, 73], Operations: [] Exploring Operation: 67+16=83, Resulting Numbers: [94, 73, 83] Generated Node #2: [94, 73, 83] from Operation: 67+16=83 Current State: 62:[94, 73, 83], Operations: ['67+16=83'] Exploring Operation: 94-73=21, Resulting Numbers: [83, 21] Generated Node #3: [83, 21] from Operation: 94-73=21 Current State: 62:[83, 21], Operations: ['67+16=83', '94-73=21'] Exploring Operation: 83-21=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 11, 42, 58, 66 ]
10
[ "66/11=6", "58-42=16", "16-6=10" ]
Current State: 10:[11, 42, 58, 66], Operations: [] Exploring Operation: 66/11=6, Resulting Numbers: [42, 58, 6] Generated Node #2: [42, 58, 6] from Operation: 66/11=6 Current State: 10:[42, 58, 6], Operations: ['66/11=6'] Exploring Operation: 58-42=16, Resulting Numbers: [6, 16] Generated Node #3: [6, 16] from Operation: 58-42=16 Current State: 10:[6, 16], Operations: ['66/11=6', '58-42=16'] Exploring Operation: 16-6=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 79, 17, 92, 87 ]
91
[ "79+17=96", "92-87=5", "96-5=91" ]
Current State: 91:[79, 17, 92, 87], Operations: [] Exploring Operation: 79+17=96, Resulting Numbers: [92, 87, 96] Generated Node #2: [92, 87, 96] from Operation: 79+17=96 Current State: 91:[92, 87, 96], Operations: ['79+17=96'] Exploring Operation: 92-87=5, Resulting Numbers: [96, 5] Generated Node #3: [96, 5] from Operation: 92-87=5 Current State: 91:[96, 5], Operations: ['79+17=96', '92-87=5'] Exploring Operation: 96-5=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4