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
[ 21, 5, 54, 46 ]
97
[ "21*5=105", "54-46=8", "105-8=97" ]
Current State: 97:[21, 5, 54, 46], Operations: [] Exploring Operation: 21*5=105, Resulting Numbers: [54, 46, 105] Generated Node #2: [54, 46, 105] from Operation: 21*5=105 Current State: 97:[54, 46, 105], Operations: ['21*5=105'] Exploring Operation: 54-46=8, Resulting Numbers: [105, 8] Generated Node #3: [105, 8] from Operation: 54-46=8 Current State: 97:[105, 8], Operations: ['21*5=105', '54-46=8'] Exploring Operation: 105-8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 2, 11, 20, 3 ]
89
[ "2+3=5", "20*5=100", "100-11=89" ]
Current State: 89:[2, 11, 20, 3], Operations: [] Exploring Operation: 2+3=5, Resulting Numbers: [11, 20, 5] Generated Node #2: [11, 20, 5] from Operation: 2+3=5 Current State: 89:[11, 20, 5], Operations: ['2+3=5'] Exploring Operation: 20*5=100, Resulting Numbers: [11, 100] Generated Node #3: [11, 100] from Operation: 20*5=100 Current State: 89:[11, 100], Operations: ['2+3=5', '20*5=100'] Exploring Operation: 100-11=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 81, 24, 1, 6 ]
63
[ "81-24=57", "1*6=6", "57+6=63" ]
Current State: 63:[81, 24, 1, 6], Operations: [] Exploring Operation: 81-24=57, Resulting Numbers: [1, 6, 57] Generated Node #2: [1, 6, 57] from Operation: 81-24=57 Current State: 63:[1, 6, 57], Operations: ['81-24=57'] Exploring Operation: 1*6=6, Resulting Numbers: [57, 6] Generated Node #3: [57, 6] from Operation: 1*6=6 Current State: 63:[57, 6], Operations: ['81-24=57', '1*6=6'] Exploring Operation: 57+6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 79, 28, 18, 17 ]
54
[ "79-28=51", "18*51=918", "918/17=54" ]
Current State: 54:[79, 28, 18, 17], Operations: [] Exploring Operation: 79-28=51, Resulting Numbers: [18, 17, 51] Generated Node #2: [18, 17, 51] from Operation: 79-28=51 Current State: 54:[18, 17, 51], Operations: ['79-28=51'] Exploring Operation: 18*51=918, Resulting Numbers: [17, 918] Generated Node #3: [17, 918] from Operation: 18*51=918 Current State: 54:[17, 918], Operations: ['79-28=51', '18*51=918'] Exploring Operation: 918/17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 88, 43, 57, 8 ]
25
[ "88/8=11", "57-43=14", "11+14=25" ]
Current State: 25:[88, 43, 57, 8], Operations: [] Exploring Operation: 88/8=11, Resulting Numbers: [43, 57, 11] Generated Node #2: [43, 57, 11] from Operation: 88/8=11 Current State: 25:[43, 57, 11], Operations: ['88/8=11'] Exploring Operation: 57-43=14, Resulting Numbers: [11, 14] Generated Node #3: [11, 14] from Operation: 57-43=14 Current State: 25:[11, 14], Operations: ['88/8=11', '57-43=14'] Exploring Operation: 11+14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 3, 93, 19, 92 ]
54
[ "93-19=74", "92-74=18", "3*18=54" ]
Current State: 54:[3, 93, 19, 92], Operations: [] Exploring Operation: 93-19=74, Resulting Numbers: [3, 92, 74] Generated Node #2: [3, 92, 74] from Operation: 93-19=74 Current State: 54:[3, 92, 74], Operations: ['93-19=74'] Exploring Operation: 92-74=18, Resulting Numbers: [3, 18] Generated Node #3: [3, 18] from Operation: 92-74=18 Current State: 54:[3, 18], Operations: ['93-19=74', '92-74=18'] Exploring Operation: 3*18=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 22, 6, 9 ]
86
[ "55-9=46", "22*6=132", "132-46=86" ]
Current State: 86:[55, 22, 6, 9], Operations: [] Exploring Operation: 55-9=46, Resulting Numbers: [22, 6, 46] Generated Node #2: [22, 6, 46] from Operation: 55-9=46 Current State: 86:[22, 6, 46], Operations: ['55-9=46'] Exploring Operation: 22*6=132, Resulting Numbers: [46, 132] Generated Node #3: [46, 132] from Operation: 22*6=132 Current State: 86:[46, 132], Operations: ['55-9=46', '22*6=132'] Exploring Operation: 132-46=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 16, 3, 80, 2 ]
97
[ "16+3=19", "80-2=78", "19+78=97" ]
Current State: 97:[16, 3, 80, 2], Operations: [] Exploring Operation: 16+3=19, Resulting Numbers: [80, 2, 19] Generated Node #2: [80, 2, 19] from Operation: 16+3=19 Current State: 97:[80, 2, 19], Operations: ['16+3=19'] Exploring Operation: 80-2=78, Resulting Numbers: [19, 78] Generated Node #3: [19, 78] from Operation: 80-2=78 Current State: 97:[19, 78], Operations: ['16+3=19', '80-2=78'] Exploring Operation: 19+78=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 96, 58, 29, 8 ]
17
[ "96-58=38", "29-8=21", "38-21=17" ]
Current State: 17:[96, 58, 29, 8], Operations: [] Exploring Operation: 96-58=38, Resulting Numbers: [29, 8, 38] Generated Node #2: [29, 8, 38] from Operation: 96-58=38 Current State: 17:[29, 8, 38], Operations: ['96-58=38'] Exploring Operation: 29-8=21, Resulting Numbers: [38, 21] Generated Node #3: [38, 21] from Operation: 29-8=21 Current State: 17:[38, 21], Operations: ['96-58=38', '29-8=21'] Exploring Operation: 38-21=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 99, 21, 17, 14 ]
47
[ "99-21=78", "17+14=31", "78-31=47" ]
Current State: 47:[99, 21, 17, 14], Operations: [] Exploring Operation: 99-21=78, Resulting Numbers: [17, 14, 78] Generated Node #2: [17, 14, 78] from Operation: 99-21=78 Current State: 47:[17, 14, 78], Operations: ['99-21=78'] Exploring Operation: 17+14=31, Resulting Numbers: [78, 31] Generated Node #3: [78, 31] from Operation: 17+14=31 Current State: 47:[78, 31], Operations: ['99-21=78', '17+14=31'] Exploring Operation: 78-31=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 3, 25, 40, 90 ]
15
[ "90/3=30", "40-25=15", "30-15=15" ]
Current State: 15:[3, 25, 40, 90], Operations: [] Exploring Operation: 90/3=30, Resulting Numbers: [25, 40, 30] Generated Node #2: [25, 40, 30] from Operation: 90/3=30 Current State: 15:[25, 40, 30], Operations: ['90/3=30'] Exploring Operation: 40-25=15, Resulting Numbers: [30, 15] Generated Node #3: [30, 15] from Operation: 40-25=15 Current State: 15:[30, 15], Operations: ['90/3=30', '40-25=15'] Exploring Operation: 30-15=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 97, 6, 72, 6 ]
11
[ "97-72=25", "6*6=36", "36-25=11" ]
Current State: 11:[97, 6, 72, 6], Operations: [] Exploring Operation: 97-72=25, Resulting Numbers: [6, 6, 25] Generated Node #2: [6, 6, 25] from Operation: 97-72=25 Current State: 11:[6, 6, 25], Operations: ['97-72=25'] Exploring Operation: 6*6=36, Resulting Numbers: [25, 36] Generated Node #3: [25, 36] from Operation: 6*6=36 Current State: 11:[25, 36], Operations: ['97-72=25', '6*6=36'] Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 52, 21, 14, 3 ]
26
[ "52*21=1092", "14*3=42", "1092/42=26" ]
Current State: 26:[52, 21, 14, 3], Operations: [] Exploring Operation: 52*21=1092, Resulting Numbers: [14, 3, 1092] Generated Node #2: [14, 3, 1092] from Operation: 52*21=1092 Current State: 26:[14, 3, 1092], Operations: ['52*21=1092'] Exploring Operation: 14*3=42, Resulting Numbers: [1092, 42] Generated Node #3: [1092, 42] from Operation: 14*3=42 Current State: 26:[1092, 42], Operations: ['52*21=1092', '14*3=42'] Exploring Operation: 1092/42=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 56, 2, 37, 29 ]
47
[ "56-29=27", "2*37=74", "74-27=47" ]
Current State: 47:[56, 2, 37, 29], Operations: [] Exploring Operation: 56-29=27, Resulting Numbers: [2, 37, 27] Generated Node #2: [2, 37, 27] from Operation: 56-29=27 Current State: 47:[2, 37, 27], Operations: ['56-29=27'] Exploring Operation: 2*37=74, Resulting Numbers: [27, 74] Generated Node #3: [27, 74] from Operation: 2*37=74 Current State: 47:[27, 74], Operations: ['56-29=27', '2*37=74'] Exploring Operation: 74-27=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 83, 74, 94, 86 ]
23
[ "83+74=157", "94+86=180", "180-157=23" ]
Current State: 23:[83, 74, 94, 86], Operations: [] Exploring Operation: 83+74=157, Resulting Numbers: [94, 86, 157] Generated Node #2: [94, 86, 157] from Operation: 83+74=157 Current State: 23:[94, 86, 157], Operations: ['83+74=157'] Exploring Operation: 94+86=180, Resulting Numbers: [157, 180] Generated Node #3: [157, 180] from Operation: 94+86=180 Current State: 23:[157, 180], Operations: ['83+74=157', '94+86=180'] Exploring Operation: 180-157=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 15, 12, 86, 86 ]
28
[ "15+12=27", "86/86=1", "27+1=28" ]
Current State: 28:[15, 12, 86, 86], Operations: [] Exploring Operation: 15+12=27, Resulting Numbers: [86, 86, 27] Generated Node #2: [86, 86, 27] from Operation: 15+12=27 Current State: 28:[86, 86, 27], Operations: ['15+12=27'] Exploring Operation: 86/86=1, Resulting Numbers: [27, 1] Generated Node #3: [27, 1] from Operation: 86/86=1 Current State: 28:[27, 1], Operations: ['15+12=27', '86/86=1'] Exploring Operation: 27+1=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 64, 12, 69, 57 ]
74
[ "64-12=52", "69+57=126", "126-52=74" ]
Current State: 74:[64, 12, 69, 57], Operations: [] Exploring Operation: 64-12=52, Resulting Numbers: [69, 57, 52] Generated Node #2: [69, 57, 52] from Operation: 64-12=52 Current State: 74:[69, 57, 52], Operations: ['64-12=52'] Exploring Operation: 69+57=126, Resulting Numbers: [52, 126] Generated Node #3: [52, 126] from Operation: 69+57=126 Current State: 74:[52, 126], Operations: ['64-12=52', '69+57=126'] Exploring Operation: 126-52=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 84, 88, 51, 48 ]
39
[ "88-84=4", "48/4=12", "51-12=39" ]
Current State: 39:[84, 88, 51, 48], Operations: [] Exploring Operation: 88-84=4, Resulting Numbers: [51, 48, 4] Generated Node #2: [51, 48, 4] from Operation: 88-84=4 Current State: 39:[51, 48, 4], Operations: ['88-84=4'] Exploring Operation: 48/4=12, Resulting Numbers: [51, 12] Generated Node #3: [51, 12] from Operation: 48/4=12 Current State: 39:[51, 12], Operations: ['88-84=4', '48/4=12'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 22, 65, 84, 48 ]
51
[ "22+65=87", "84-48=36", "87-36=51" ]
Current State: 51:[22, 65, 84, 48], Operations: [] Exploring Operation: 22+65=87, Resulting Numbers: [84, 48, 87] Generated Node #2: [84, 48, 87] from Operation: 22+65=87 Current State: 51:[84, 48, 87], Operations: ['22+65=87'] Exploring Operation: 84-48=36, Resulting Numbers: [87, 36] Generated Node #3: [87, 36] from Operation: 84-48=36 Current State: 51:[87, 36], Operations: ['22+65=87', '84-48=36'] Exploring Operation: 87-36=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 74, 52, 96, 54 ]
85
[ "74+96=170", "54-52=2", "170/2=85" ]
Current State: 85:[74, 52, 96, 54], Operations: [] Exploring Operation: 74+96=170, Resulting Numbers: [52, 54, 170] Generated Node #2: [52, 54, 170] from Operation: 74+96=170 Current State: 85:[52, 54, 170], Operations: ['74+96=170'] Exploring Operation: 54-52=2, Resulting Numbers: [170, 2] Generated Node #3: [170, 2] from Operation: 54-52=2 Current State: 85:[170, 2], Operations: ['74+96=170', '54-52=2'] Exploring Operation: 170/2=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 85, 10, 7, 34 ]
83
[ "10+7=17", "34/17=2", "85-2=83" ]
Current State: 83:[85, 10, 7, 34], Operations: [] Exploring Operation: 10+7=17, Resulting Numbers: [85, 34, 17] Generated Node #2: [85, 34, 17] from Operation: 10+7=17 Current State: 83:[85, 34, 17], Operations: ['10+7=17'] Exploring Operation: 34/17=2, Resulting Numbers: [85, 2] Generated Node #3: [85, 2] from Operation: 34/17=2 Current State: 83:[85, 2], Operations: ['10+7=17', '34/17=2'] Exploring Operation: 85-2=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 66, 34, 3, 11 ]
47
[ "66-11=55", "34*3=102", "102-55=47" ]
Current State: 47:[66, 34, 3, 11], Operations: [] Exploring Operation: 66-11=55, Resulting Numbers: [34, 3, 55] Generated Node #2: [34, 3, 55] from Operation: 66-11=55 Current State: 47:[34, 3, 55], Operations: ['66-11=55'] Exploring Operation: 34*3=102, Resulting Numbers: [55, 102] Generated Node #3: [55, 102] from Operation: 34*3=102 Current State: 47:[55, 102], Operations: ['66-11=55', '34*3=102'] Exploring Operation: 102-55=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 24, 37, 4, 7 ]
64
[ "24+37=61", "7-4=3", "61+3=64" ]
Current State: 64:[24, 37, 4, 7], Operations: [] Exploring Operation: 24+37=61, Resulting Numbers: [4, 7, 61] Generated Node #2: [4, 7, 61] from Operation: 24+37=61 Current State: 64:[4, 7, 61], Operations: ['24+37=61'] Exploring Operation: 7-4=3, Resulting Numbers: [61, 3] Generated Node #3: [61, 3] from Operation: 7-4=3 Current State: 64:[61, 3], Operations: ['24+37=61', '7-4=3'] Exploring Operation: 61+3=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 18, 51, 52, 76 ]
68
[ "76-52=24", "51*24=1224", "1224/18=68" ]
Current State: 68:[18, 51, 52, 76], Operations: [] Exploring Operation: 76-52=24, Resulting Numbers: [18, 51, 24] Generated Node #2: [18, 51, 24] from Operation: 76-52=24 Current State: 68:[18, 51, 24], Operations: ['76-52=24'] Exploring Operation: 51*24=1224, Resulting Numbers: [18, 1224] Generated Node #3: [18, 1224] from Operation: 51*24=1224 Current State: 68:[18, 1224], Operations: ['76-52=24', '51*24=1224'] Exploring Operation: 1224/18=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 14, 94, 6, 56 ]
92
[ "56/14=4", "94-6=88", "4+88=92" ]
Current State: 92:[14, 94, 6, 56], Operations: [] Exploring Operation: 56/14=4, Resulting Numbers: [94, 6, 4] Generated Node #2: [94, 6, 4] from Operation: 56/14=4 Current State: 92:[94, 6, 4], Operations: ['56/14=4'] Exploring Operation: 94-6=88, Resulting Numbers: [4, 88] Generated Node #3: [4, 88] from Operation: 94-6=88 Current State: 92:[4, 88], Operations: ['56/14=4', '94-6=88'] Exploring Operation: 4+88=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 65, 94, 38, 48 ]
57
[ "94-65=29", "38+48=86", "86-29=57" ]
Current State: 57:[65, 94, 38, 48], Operations: [] Exploring Operation: 94-65=29, Resulting Numbers: [38, 48, 29] Generated Node #2: [38, 48, 29] from Operation: 94-65=29 Current State: 57:[38, 48, 29], Operations: ['94-65=29'] Exploring Operation: 38+48=86, Resulting Numbers: [29, 86] Generated Node #3: [29, 86] from Operation: 38+48=86 Current State: 57:[29, 86], Operations: ['94-65=29', '38+48=86'] Exploring Operation: 86-29=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 20, 41, 12, 22 ]
71
[ "20+41=61", "22-12=10", "61+10=71" ]
Current State: 71:[20, 41, 12, 22], Operations: [] Exploring Operation: 20+41=61, Resulting Numbers: [12, 22, 61] Generated Node #2: [12, 22, 61] from Operation: 20+41=61 Current State: 71:[12, 22, 61], Operations: ['20+41=61'] Exploring Operation: 22-12=10, Resulting Numbers: [61, 10] Generated Node #3: [61, 10] from Operation: 22-12=10 Current State: 71:[61, 10], Operations: ['20+41=61', '22-12=10'] Exploring Operation: 61+10=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 4, 91, 10 ]
86
[ "6-4=2", "10/2=5", "91-5=86" ]
Current State: 86:[6, 4, 91, 10], Operations: [] Exploring Operation: 6-4=2, Resulting Numbers: [91, 10, 2] Generated Node #2: [91, 10, 2] from Operation: 6-4=2 Current State: 86:[91, 10, 2], Operations: ['6-4=2'] Exploring Operation: 10/2=5, Resulting Numbers: [91, 5] Generated Node #3: [91, 5] from Operation: 10/2=5 Current State: 86:[91, 5], Operations: ['6-4=2', '10/2=5'] Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 62, 16, 85, 98 ]
14
[ "62+16=78", "85-78=7", "98/7=14" ]
Current State: 14:[62, 16, 85, 98], Operations: [] Exploring Operation: 62+16=78, Resulting Numbers: [85, 98, 78] Generated Node #2: [85, 98, 78] from Operation: 62+16=78 Current State: 14:[85, 98, 78], Operations: ['62+16=78'] Exploring Operation: 85-78=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 85-78=7 Current State: 14:[98, 7], Operations: ['62+16=78', '85-78=7'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 22, 66, 37, 98 ]
14
[ "66-22=44", "44-37=7", "98/7=14" ]
Current State: 14:[22, 66, 37, 98], Operations: [] Exploring Operation: 66-22=44, Resulting Numbers: [37, 98, 44] Generated Node #2: [37, 98, 44] from Operation: 66-22=44 Current State: 14:[37, 98, 44], Operations: ['66-22=44'] Exploring Operation: 44-37=7, Resulting Numbers: [98, 7] Generated Node #3: [98, 7] from Operation: 44-37=7 Current State: 14:[98, 7], Operations: ['66-22=44', '44-37=7'] Exploring Operation: 98/7=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 88, 56, 65, 7 ]
25
[ "65-56=9", "7*9=63", "88-63=25" ]
Current State: 25:[88, 56, 65, 7], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [88, 7, 9] Generated Node #2: [88, 7, 9] from Operation: 65-56=9 Current State: 25:[88, 7, 9], Operations: ['65-56=9'] Exploring Operation: 7*9=63, Resulting Numbers: [88, 63] Generated Node #3: [88, 63] from Operation: 7*9=63 Current State: 25:[88, 63], Operations: ['65-56=9', '7*9=63'] Exploring Operation: 88-63=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 25, 22, 4, 41 ]
42
[ "25-22=3", "4+41=45", "45-3=42" ]
Current State: 42:[25, 22, 4, 41], Operations: [] Exploring Operation: 25-22=3, Resulting Numbers: [4, 41, 3] Generated Node #2: [4, 41, 3] from Operation: 25-22=3 Current State: 42:[4, 41, 3], Operations: ['25-22=3'] Exploring Operation: 4+41=45, Resulting Numbers: [3, 45] Generated Node #3: [3, 45] from Operation: 4+41=45 Current State: 42:[3, 45], Operations: ['25-22=3', '4+41=45'] Exploring Operation: 45-3=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 70, 76, 12, 74 ]
76
[ "76-70=6", "12/6=2", "74+2=76" ]
Current State: 76:[70, 76, 12, 74], Operations: [] Exploring Operation: 76-70=6, Resulting Numbers: [12, 74, 6] Generated Node #2: [12, 74, 6] from Operation: 76-70=6 Current State: 76:[12, 74, 6], Operations: ['76-70=6'] Exploring Operation: 12/6=2, Resulting Numbers: [74, 2] Generated Node #3: [74, 2] from Operation: 12/6=2 Current State: 76:[74, 2], Operations: ['76-70=6', '12/6=2'] Exploring Operation: 74+2=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 29, 97, 8, 90 ]
45
[ "29*8=232", "97+90=187", "232-187=45" ]
Current State: 45:[29, 97, 8, 90], Operations: [] Exploring Operation: 29*8=232, Resulting Numbers: [97, 90, 232] Generated Node #2: [97, 90, 232] from Operation: 29*8=232 Current State: 45:[97, 90, 232], Operations: ['29*8=232'] Exploring Operation: 97+90=187, Resulting Numbers: [232, 187] Generated Node #3: [232, 187] from Operation: 97+90=187 Current State: 45:[232, 187], Operations: ['29*8=232', '97+90=187'] Exploring Operation: 232-187=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 67, 15, 49, 33 ]
67
[ "49-15=34", "34-33=1", "67*1=67" ]
Current State: 67:[67, 15, 49, 33], Operations: [] Exploring Operation: 49-15=34, Resulting Numbers: [67, 33, 34] Generated Node #2: [67, 33, 34] from Operation: 49-15=34 Current State: 67:[67, 33, 34], Operations: ['49-15=34'] Exploring Operation: 34-33=1, Resulting Numbers: [67, 1] Generated Node #3: [67, 1] from Operation: 34-33=1 Current State: 67:[67, 1], Operations: ['49-15=34', '34-33=1'] Exploring Operation: 67*1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 59, 31, 37, 81 ]
33
[ "37+81=118", "118/59=2", "31+2=33" ]
Current State: 33:[59, 31, 37, 81], Operations: [] Exploring Operation: 37+81=118, Resulting Numbers: [59, 31, 118] Generated Node #2: [59, 31, 118] from Operation: 37+81=118 Current State: 33:[59, 31, 118], Operations: ['37+81=118'] Exploring Operation: 118/59=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 118/59=2 Current State: 33:[31, 2], Operations: ['37+81=118', '118/59=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 5, 74, 28, 24 ]
83
[ "5+74=79", "28-24=4", "79+4=83" ]
Current State: 83:[5, 74, 28, 24], Operations: [] Exploring Operation: 5+74=79, Resulting Numbers: [28, 24, 79] Generated Node #2: [28, 24, 79] from Operation: 5+74=79 Current State: 83:[28, 24, 79], Operations: ['5+74=79'] Exploring Operation: 28-24=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 28-24=4 Current State: 83:[79, 4], Operations: ['5+74=79', '28-24=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 92, 46, 3, 26 ]
69
[ "92-46=46", "26-3=23", "46+23=69" ]
Current State: 69:[92, 46, 3, 26], Operations: [] Exploring Operation: 92-46=46, Resulting Numbers: [3, 26, 46] Generated Node #2: [3, 26, 46] from Operation: 92-46=46 Current State: 69:[3, 26, 46], Operations: ['92-46=46'] Exploring Operation: 26-3=23, Resulting Numbers: [46, 23] Generated Node #3: [46, 23] from Operation: 26-3=23 Current State: 69:[46, 23], Operations: ['92-46=46', '26-3=23'] Exploring Operation: 46+23=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 95, 15, 1, 10 ]
65
[ "15+1=16", "10*16=160", "160-95=65" ]
Current State: 65:[95, 15, 1, 10], Operations: [] Exploring Operation: 15+1=16, Resulting Numbers: [95, 10, 16] Generated Node #2: [95, 10, 16] from Operation: 15+1=16 Current State: 65:[95, 10, 16], Operations: ['15+1=16'] Exploring Operation: 10*16=160, Resulting Numbers: [95, 160] Generated Node #3: [95, 160] from Operation: 10*16=160 Current State: 65:[95, 160], Operations: ['15+1=16', '10*16=160'] Exploring Operation: 160-95=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 69, 92, 25, 2 ]
50
[ "92-69=23", "25+2=27", "23+27=50" ]
Current State: 50:[69, 92, 25, 2], Operations: [] Exploring Operation: 92-69=23, Resulting Numbers: [25, 2, 23] Generated Node #2: [25, 2, 23] from Operation: 92-69=23 Current State: 50:[25, 2, 23], Operations: ['92-69=23'] Exploring Operation: 25+2=27, Resulting Numbers: [23, 27] Generated Node #3: [23, 27] from Operation: 25+2=27 Current State: 50:[23, 27], Operations: ['92-69=23', '25+2=27'] Exploring Operation: 23+27=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 76, 44, 71, 77 ]
27
[ "77-76=1", "71-44=27", "1*27=27" ]
Current State: 27:[76, 44, 71, 77], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [44, 71, 1] Generated Node #2: [44, 71, 1] from Operation: 77-76=1 Current State: 27:[44, 71, 1], Operations: ['77-76=1'] Exploring Operation: 71-44=27, Resulting Numbers: [1, 27] Generated Node #3: [1, 27] from Operation: 71-44=27 Current State: 27:[1, 27], Operations: ['77-76=1', '71-44=27'] Exploring Operation: 1*27=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 38, 5, 36, 97 ]
94
[ "38-5=33", "97-36=61", "33+61=94" ]
Current State: 94:[38, 5, 36, 97], Operations: [] Exploring Operation: 38-5=33, Resulting Numbers: [36, 97, 33] Generated Node #2: [36, 97, 33] from Operation: 38-5=33 Current State: 94:[36, 97, 33], Operations: ['38-5=33'] Exploring Operation: 97-36=61, Resulting Numbers: [33, 61] Generated Node #3: [33, 61] from Operation: 97-36=61 Current State: 94:[33, 61], Operations: ['38-5=33', '97-36=61'] Exploring Operation: 33+61=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 10, 47, 39, 70 ]
93
[ "70/10=7", "47+39=86", "7+86=93" ]
Current State: 93:[10, 47, 39, 70], Operations: [] Exploring Operation: 70/10=7, Resulting Numbers: [47, 39, 7] Generated Node #2: [47, 39, 7] from Operation: 70/10=7 Current State: 93:[47, 39, 7], Operations: ['70/10=7'] Exploring Operation: 47+39=86, Resulting Numbers: [7, 86] Generated Node #3: [7, 86] from Operation: 47+39=86 Current State: 93:[7, 86], Operations: ['70/10=7', '47+39=86'] Exploring Operation: 7+86=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 2, 11, 37, 83 ]
20
[ "2*37=74", "11+83=94", "94-74=20" ]
Current State: 20:[2, 11, 37, 83], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [11, 83, 74] Generated Node #2: [11, 83, 74] from Operation: 2*37=74 Current State: 20:[11, 83, 74], Operations: ['2*37=74'] Exploring Operation: 11+83=94, Resulting Numbers: [74, 94] Generated Node #3: [74, 94] from Operation: 11+83=94 Current State: 20:[74, 94], Operations: ['2*37=74', '11+83=94'] Exploring Operation: 94-74=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 28, 64, 65, 21 ]
80
[ "64-28=36", "65-21=44", "36+44=80" ]
Current State: 80:[28, 64, 65, 21], Operations: [] Exploring Operation: 64-28=36, Resulting Numbers: [65, 21, 36] Generated Node #2: [65, 21, 36] from Operation: 64-28=36 Current State: 80:[65, 21, 36], Operations: ['64-28=36'] Exploring Operation: 65-21=44, Resulting Numbers: [36, 44] Generated Node #3: [36, 44] from Operation: 65-21=44 Current State: 80:[36, 44], Operations: ['64-28=36', '65-21=44'] Exploring Operation: 36+44=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 24, 46, 91, 86 ]
65
[ "24+46=70", "91-86=5", "70-5=65" ]
Current State: 65:[24, 46, 91, 86], Operations: [] Exploring Operation: 24+46=70, Resulting Numbers: [91, 86, 70] Generated Node #2: [91, 86, 70] from Operation: 24+46=70 Current State: 65:[91, 86, 70], Operations: ['24+46=70'] Exploring Operation: 91-86=5, Resulting Numbers: [70, 5] Generated Node #3: [70, 5] from Operation: 91-86=5 Current State: 65:[70, 5], Operations: ['24+46=70', '91-86=5'] Exploring Operation: 70-5=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 55, 64, 58, 53 ]
35
[ "55-53=2", "58/2=29", "64-29=35" ]
Current State: 35:[55, 64, 58, 53], Operations: [] Exploring Operation: 55-53=2, Resulting Numbers: [64, 58, 2] Generated Node #2: [64, 58, 2] from Operation: 55-53=2 Current State: 35:[64, 58, 2], Operations: ['55-53=2'] Exploring Operation: 58/2=29, Resulting Numbers: [64, 29] Generated Node #3: [64, 29] from Operation: 58/2=29 Current State: 35:[64, 29], Operations: ['55-53=2', '58/2=29'] Exploring Operation: 64-29=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 86, 3, 70, 84 ]
36
[ "86-70=16", "3*16=48", "84-48=36" ]
Current State: 36:[86, 3, 70, 84], Operations: [] Exploring Operation: 86-70=16, Resulting Numbers: [3, 84, 16] Generated Node #2: [3, 84, 16] from Operation: 86-70=16 Current State: 36:[3, 84, 16], Operations: ['86-70=16'] Exploring Operation: 3*16=48, Resulting Numbers: [84, 48] Generated Node #3: [84, 48] from Operation: 3*16=48 Current State: 36:[84, 48], Operations: ['86-70=16', '3*16=48'] Exploring Operation: 84-48=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 95, 54, 55, 16 ]
30
[ "95-54=41", "55+16=71", "71-41=30" ]
Current State: 30:[95, 54, 55, 16], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [55, 16, 41] Generated Node #2: [55, 16, 41] from Operation: 95-54=41 Current State: 30:[55, 16, 41], Operations: ['95-54=41'] Exploring Operation: 55+16=71, Resulting Numbers: [41, 71] Generated Node #3: [41, 71] from Operation: 55+16=71 Current State: 30:[41, 71], Operations: ['95-54=41', '55+16=71'] Exploring Operation: 71-41=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 14, 13, 45, 37 ]
70
[ "45-13=32", "37-32=5", "14*5=70" ]
Current State: 70:[14, 13, 45, 37], Operations: [] Exploring Operation: 45-13=32, Resulting Numbers: [14, 37, 32] Generated Node #2: [14, 37, 32] from Operation: 45-13=32 Current State: 70:[14, 37, 32], Operations: ['45-13=32'] Exploring Operation: 37-32=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 37-32=5 Current State: 70:[14, 5], Operations: ['45-13=32', '37-32=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 2, 63, 53, 79 ]
91
[ "2+63=65", "79-53=26", "65+26=91" ]
Current State: 91:[2, 63, 53, 79], Operations: [] Exploring Operation: 2+63=65, Resulting Numbers: [53, 79, 65] Generated Node #2: [53, 79, 65] from Operation: 2+63=65 Current State: 91:[53, 79, 65], Operations: ['2+63=65'] Exploring Operation: 79-53=26, Resulting Numbers: [65, 26] Generated Node #3: [65, 26] from Operation: 79-53=26 Current State: 91:[65, 26], Operations: ['2+63=65', '79-53=26'] Exploring Operation: 65+26=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 99, 16, 53, 21 ]
97
[ "53-21=32", "32/16=2", "99-2=97" ]
Current State: 97:[99, 16, 53, 21], Operations: [] Exploring Operation: 53-21=32, Resulting Numbers: [99, 16, 32] Generated Node #2: [99, 16, 32] from Operation: 53-21=32 Current State: 97:[99, 16, 32], Operations: ['53-21=32'] Exploring Operation: 32/16=2, Resulting Numbers: [99, 2] Generated Node #3: [99, 2] from Operation: 32/16=2 Current State: 97:[99, 2], Operations: ['53-21=32', '32/16=2'] Exploring Operation: 99-2=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 3, 75, 21, 6 ]
15
[ "3*75=225", "21-6=15", "225/15=15" ]
Current State: 15:[3, 75, 21, 6], Operations: [] Exploring Operation: 3*75=225, Resulting Numbers: [21, 6, 225] Generated Node #2: [21, 6, 225] from Operation: 3*75=225 Current State: 15:[21, 6, 225], Operations: ['3*75=225'] Exploring Operation: 21-6=15, Resulting Numbers: [225, 15] Generated Node #3: [225, 15] from Operation: 21-6=15 Current State: 15:[225, 15], Operations: ['3*75=225', '21-6=15'] Exploring Operation: 225/15=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 16, 15, 72 ]
48
[ "77-72=5", "16*15=240", "240/5=48" ]
Current State: 48:[77, 16, 15, 72], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [16, 15, 5] Generated Node #2: [16, 15, 5] from Operation: 77-72=5 Current State: 48:[16, 15, 5], Operations: ['77-72=5'] Exploring Operation: 16*15=240, Resulting Numbers: [5, 240] Generated Node #3: [5, 240] from Operation: 16*15=240 Current State: 48:[5, 240], Operations: ['77-72=5', '16*15=240'] Exploring Operation: 240/5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 75, 24, 53, 15 ]
61
[ "75+24=99", "53-15=38", "99-38=61" ]
Current State: 61:[75, 24, 53, 15], Operations: [] Exploring Operation: 75+24=99, Resulting Numbers: [53, 15, 99] Generated Node #2: [53, 15, 99] from Operation: 75+24=99 Current State: 61:[53, 15, 99], Operations: ['75+24=99'] Exploring Operation: 53-15=38, Resulting Numbers: [99, 38] Generated Node #3: [99, 38] from Operation: 53-15=38 Current State: 61:[99, 38], Operations: ['75+24=99', '53-15=38'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 96, 31, 61 ]
98
[ "94+96=190", "31+61=92", "190-92=98" ]
Current State: 98:[94, 96, 31, 61], Operations: [] Exploring Operation: 94+96=190, Resulting Numbers: [31, 61, 190] Generated Node #2: [31, 61, 190] from Operation: 94+96=190 Current State: 98:[31, 61, 190], Operations: ['94+96=190'] Exploring Operation: 31+61=92, Resulting Numbers: [190, 92] Generated Node #3: [190, 92] from Operation: 31+61=92 Current State: 98:[190, 92], Operations: ['94+96=190', '31+61=92'] Exploring Operation: 190-92=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 67, 36, 71, 93 ]
84
[ "71-67=4", "36/4=9", "93-9=84" ]
Current State: 84:[67, 36, 71, 93], Operations: [] Exploring Operation: 71-67=4, Resulting Numbers: [36, 93, 4] Generated Node #2: [36, 93, 4] from Operation: 71-67=4 Current State: 84:[36, 93, 4], Operations: ['71-67=4'] Exploring Operation: 36/4=9, Resulting Numbers: [93, 9] Generated Node #3: [93, 9] from Operation: 36/4=9 Current State: 84:[93, 9], Operations: ['71-67=4', '36/4=9'] Exploring Operation: 93-9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 75, 99, 68, 66 ]
12
[ "99-75=24", "68-66=2", "24/2=12" ]
Current State: 12:[75, 99, 68, 66], Operations: [] Exploring Operation: 99-75=24, Resulting Numbers: [68, 66, 24] Generated Node #2: [68, 66, 24] from Operation: 99-75=24 Current State: 12:[68, 66, 24], Operations: ['99-75=24'] Exploring Operation: 68-66=2, Resulting Numbers: [24, 2] Generated Node #3: [24, 2] from Operation: 68-66=2 Current State: 12:[24, 2], Operations: ['99-75=24', '68-66=2'] Exploring Operation: 24/2=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 77, 3, 79, 14 ]
100
[ "77-14=63", "63/3=21", "79+21=100" ]
Current State: 100:[77, 3, 79, 14], Operations: [] Exploring Operation: 77-14=63, Resulting Numbers: [3, 79, 63] Generated Node #2: [3, 79, 63] from Operation: 77-14=63 Current State: 100:[3, 79, 63], Operations: ['77-14=63'] Exploring Operation: 63/3=21, Resulting Numbers: [79, 21] Generated Node #3: [79, 21] from Operation: 63/3=21 Current State: 100:[79, 21], Operations: ['77-14=63', '63/3=21'] Exploring Operation: 79+21=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 22, 70, 37, 54 ]
34
[ "22*54=1188", "70+1188=1258", "1258/37=34" ]
Current State: 34:[22, 70, 37, 54], Operations: [] Exploring Operation: 22*54=1188, Resulting Numbers: [70, 37, 1188] Generated Node #2: [70, 37, 1188] from Operation: 22*54=1188 Current State: 34:[70, 37, 1188], Operations: ['22*54=1188'] Exploring Operation: 70+1188=1258, Resulting Numbers: [37, 1258] Generated Node #3: [37, 1258] from Operation: 70+1188=1258 Current State: 34:[37, 1258], Operations: ['22*54=1188', '70+1188=1258'] Exploring Operation: 1258/37=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 85, 35, 8, 81 ]
47
[ "85+35=120", "81-8=73", "120-73=47" ]
Current State: 47:[85, 35, 8, 81], Operations: [] Exploring Operation: 85+35=120, Resulting Numbers: [8, 81, 120] Generated Node #2: [8, 81, 120] from Operation: 85+35=120 Current State: 47:[8, 81, 120], Operations: ['85+35=120'] Exploring Operation: 81-8=73, Resulting Numbers: [120, 73] Generated Node #3: [120, 73] from Operation: 81-8=73 Current State: 47:[120, 73], Operations: ['85+35=120', '81-8=73'] Exploring Operation: 120-73=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 1, 76, 2 ]
83
[ "9*1=9", "76-2=74", "9+74=83" ]
Current State: 83:[9, 1, 76, 2], Operations: [] Exploring Operation: 9*1=9, Resulting Numbers: [76, 2, 9] Generated Node #2: [76, 2, 9] from Operation: 9*1=9 Current State: 83:[76, 2, 9], Operations: ['9*1=9'] Exploring Operation: 76-2=74, Resulting Numbers: [9, 74] Generated Node #3: [9, 74] from Operation: 76-2=74 Current State: 83:[9, 74], Operations: ['9*1=9', '76-2=74'] Exploring Operation: 9+74=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 9, 58, 71, 58 ]
81
[ "9+71=80", "58/58=1", "80+1=81" ]
Current State: 81:[9, 58, 71, 58], Operations: [] Exploring Operation: 9+71=80, Resulting Numbers: [58, 58, 80] Generated Node #2: [58, 58, 80] from Operation: 9+71=80 Current State: 81:[58, 58, 80], Operations: ['9+71=80'] Exploring Operation: 58/58=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 58/58=1 Current State: 81:[80, 1], Operations: ['9+71=80', '58/58=1'] Exploring Operation: 80+1=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 38, 36, 7, 20 ]
16
[ "38+7=45", "36*20=720", "720/45=16" ]
Current State: 16:[38, 36, 7, 20], Operations: [] Exploring Operation: 38+7=45, Resulting Numbers: [36, 20, 45] Generated Node #2: [36, 20, 45] from Operation: 38+7=45 Current State: 16:[36, 20, 45], Operations: ['38+7=45'] Exploring Operation: 36*20=720, Resulting Numbers: [45, 720] Generated Node #3: [45, 720] from Operation: 36*20=720 Current State: 16:[45, 720], Operations: ['38+7=45', '36*20=720'] Exploring Operation: 720/45=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 47, 3, 39 ]
39
[ "47-44=3", "3+39=42", "42-3=39" ]
Current State: 39:[44, 47, 3, 39], Operations: [] Exploring Operation: 47-44=3, Resulting Numbers: [3, 39, 3] Generated Node #2: [3, 39, 3] from Operation: 47-44=3 Current State: 39:[3, 39, 3], Operations: ['47-44=3'] Exploring Operation: 3+39=42, Resulting Numbers: [42] 42,39 equal: Goal Reached Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 3, 74, 10, 33 ]
94
[ "74-3=71", "33-10=23", "71+23=94" ]
Current State: 94:[3, 74, 10, 33], Operations: [] Exploring Operation: 74-3=71, Resulting Numbers: [10, 33, 71] Generated Node #2: [10, 33, 71] from Operation: 74-3=71 Current State: 94:[10, 33, 71], Operations: ['74-3=71'] Exploring Operation: 33-10=23, Resulting Numbers: [71, 23] Generated Node #3: [71, 23] from Operation: 33-10=23 Current State: 94:[71, 23], Operations: ['74-3=71', '33-10=23'] Exploring Operation: 71+23=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 88, 3, 45, 68 ]
67
[ "88+45=133", "68+133=201", "201/3=67" ]
Current State: 67:[88, 3, 45, 68], Operations: [] Exploring Operation: 88+45=133, Resulting Numbers: [3, 68, 133] Generated Node #2: [3, 68, 133] from Operation: 88+45=133 Current State: 67:[3, 68, 133], Operations: ['88+45=133'] Exploring Operation: 68+133=201, Resulting Numbers: [3, 201] Generated Node #3: [3, 201] from Operation: 68+133=201 Current State: 67:[3, 201], Operations: ['88+45=133', '68+133=201'] Exploring Operation: 201/3=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 81, 75, 12, 27 ]
13
[ "81/27=3", "75/3=25", "25-12=13" ]
Current State: 13:[81, 75, 12, 27], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [75, 12, 3] Generated Node #2: [75, 12, 3] from Operation: 81/27=3 Current State: 13:[75, 12, 3], Operations: ['81/27=3'] Exploring Operation: 75/3=25, Resulting Numbers: [12, 25] Generated Node #3: [12, 25] from Operation: 75/3=25 Current State: 13:[12, 25], Operations: ['81/27=3', '75/3=25'] Exploring Operation: 25-12=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 96, 51, 4 ]
63
[ "36+51=87", "96/4=24", "87-24=63" ]
Current State: 63:[36, 96, 51, 4], Operations: [] Exploring Operation: 36+51=87, Resulting Numbers: [96, 4, 87] Generated Node #2: [96, 4, 87] from Operation: 36+51=87 Current State: 63:[96, 4, 87], Operations: ['36+51=87'] Exploring Operation: 96/4=24, Resulting Numbers: [87, 24] Generated Node #3: [87, 24] from Operation: 96/4=24 Current State: 63:[87, 24], Operations: ['36+51=87', '96/4=24'] Exploring Operation: 87-24=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 38, 64, 30, 80 ]
74
[ "38-30=8", "80/8=10", "64+10=74" ]
Current State: 74:[38, 64, 30, 80], Operations: [] Exploring Operation: 38-30=8, Resulting Numbers: [64, 80, 8] Generated Node #2: [64, 80, 8] from Operation: 38-30=8 Current State: 74:[64, 80, 8], Operations: ['38-30=8'] Exploring Operation: 80/8=10, Resulting Numbers: [64, 10] Generated Node #3: [64, 10] from Operation: 80/8=10 Current State: 74:[64, 10], Operations: ['38-30=8', '80/8=10'] Exploring Operation: 64+10=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 65, 38, 20, 30 ]
50
[ "65+30=95", "20*95=1900", "1900/38=50" ]
Current State: 50:[65, 38, 20, 30], Operations: [] Exploring Operation: 65+30=95, Resulting Numbers: [38, 20, 95] Generated Node #2: [38, 20, 95] from Operation: 65+30=95 Current State: 50:[38, 20, 95], Operations: ['65+30=95'] Exploring Operation: 20*95=1900, Resulting Numbers: [38, 1900] Generated Node #3: [38, 1900] from Operation: 20*95=1900 Current State: 50:[38, 1900], Operations: ['65+30=95', '20*95=1900'] Exploring Operation: 1900/38=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 13, 50, 70, 92 ]
15
[ "50-13=37", "92-70=22", "37-22=15" ]
Current State: 15:[13, 50, 70, 92], Operations: [] Exploring Operation: 50-13=37, Resulting Numbers: [70, 92, 37] Generated Node #2: [70, 92, 37] from Operation: 50-13=37 Current State: 15:[70, 92, 37], Operations: ['50-13=37'] Exploring Operation: 92-70=22, Resulting Numbers: [37, 22] Generated Node #3: [37, 22] from Operation: 92-70=22 Current State: 15:[37, 22], Operations: ['50-13=37', '92-70=22'] Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 57, 3, 86, 80 ]
25
[ "57/3=19", "86-80=6", "19+6=25" ]
Current State: 25:[57, 3, 86, 80], Operations: [] Exploring Operation: 57/3=19, Resulting Numbers: [86, 80, 19] Generated Node #2: [86, 80, 19] from Operation: 57/3=19 Current State: 25:[86, 80, 19], Operations: ['57/3=19'] Exploring Operation: 86-80=6, Resulting Numbers: [19, 6] Generated Node #3: [19, 6] from Operation: 86-80=6 Current State: 25:[19, 6], Operations: ['57/3=19', '86-80=6'] Exploring Operation: 19+6=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 66, 62, 92, 30 ]
67
[ "92-62=30", "30/30=1", "66+1=67" ]
Current State: 67:[66, 62, 92, 30], Operations: [] Exploring Operation: 92-62=30, Resulting Numbers: [66, 30, 30] Generated Node #2: [66, 30, 30] from Operation: 92-62=30 Current State: 67:[66, 30, 30], Operations: ['92-62=30'] Exploring Operation: 30/30=1, Resulting Numbers: [66, 1] Generated Node #3: [66, 1] from Operation: 30/30=1 Current State: 67:[66, 1], Operations: ['92-62=30', '30/30=1'] Exploring Operation: 66+1=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 90, 83, 53, 28 ]
18
[ "90-83=7", "53-28=25", "25-7=18" ]
Current State: 18:[90, 83, 53, 28], Operations: [] Exploring Operation: 90-83=7, Resulting Numbers: [53, 28, 7] Generated Node #2: [53, 28, 7] from Operation: 90-83=7 Current State: 18:[53, 28, 7], Operations: ['90-83=7'] Exploring Operation: 53-28=25, Resulting Numbers: [7, 25] Generated Node #3: [7, 25] from Operation: 53-28=25 Current State: 18:[7, 25], Operations: ['90-83=7', '53-28=25'] Exploring Operation: 25-7=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 21, 47, 75, 5 ]
17
[ "21*5=105", "47+75=122", "122-105=17" ]
Current State: 17:[21, 47, 75, 5], Operations: [] Exploring Operation: 21*5=105, Resulting Numbers: [47, 75, 105] Generated Node #2: [47, 75, 105] from Operation: 21*5=105 Current State: 17:[47, 75, 105], Operations: ['21*5=105'] Exploring Operation: 47+75=122, Resulting Numbers: [105, 122] Generated Node #3: [105, 122] from Operation: 47+75=122 Current State: 17:[105, 122], Operations: ['21*5=105', '47+75=122'] Exploring Operation: 122-105=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 38, 30, 22, 6 ]
40
[ "38+30=68", "22+6=28", "68-28=40" ]
Current State: 40:[38, 30, 22, 6], Operations: [] Exploring Operation: 38+30=68, Resulting Numbers: [22, 6, 68] Generated Node #2: [22, 6, 68] from Operation: 38+30=68 Current State: 40:[22, 6, 68], Operations: ['38+30=68'] Exploring Operation: 22+6=28, Resulting Numbers: [68, 28] Generated Node #3: [68, 28] from Operation: 22+6=28 Current State: 40:[68, 28], Operations: ['38+30=68', '22+6=28'] Exploring Operation: 68-28=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 43, 83, 73, 83 ]
30
[ "43+83=126", "73+83=156", "156-126=30" ]
Current State: 30:[43, 83, 73, 83], Operations: [] Exploring Operation: 43+83=126, Resulting Numbers: [73, 126] Generated Node #2: [73, 126] from Operation: 43+83=126 Current State: 30:[73, 126], Operations: ['43+83=126'] Exploring Operation: 73+83=156, Resulting Numbers: [126, 156] Generated Node #3: [126, 156] from Operation: 73+83=156 Current State: 30:[126, 156], Operations: ['43+83=126', '73+83=156'] Exploring Operation: 156-126=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 39, 32, 92, 45 ]
95
[ "45-32=13", "39/13=3", "92+3=95" ]
Current State: 95:[39, 32, 92, 45], Operations: [] Exploring Operation: 45-32=13, Resulting Numbers: [39, 92, 13] Generated Node #2: [39, 92, 13] from Operation: 45-32=13 Current State: 95:[39, 92, 13], Operations: ['45-32=13'] Exploring Operation: 39/13=3, Resulting Numbers: [92, 3] Generated Node #3: [92, 3] from Operation: 39/13=3 Current State: 95:[92, 3], Operations: ['45-32=13', '39/13=3'] Exploring Operation: 92+3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 65, 31, 14 ]
29
[ "65-19=46", "31-14=17", "46-17=29" ]
Current State: 29:[19, 65, 31, 14], Operations: [] Exploring Operation: 65-19=46, Resulting Numbers: [31, 14, 46] Generated Node #2: [31, 14, 46] from Operation: 65-19=46 Current State: 29:[31, 14, 46], Operations: ['65-19=46'] Exploring Operation: 31-14=17, Resulting Numbers: [46, 17] Generated Node #3: [46, 17] from Operation: 31-14=17 Current State: 29:[46, 17], Operations: ['65-19=46', '31-14=17'] Exploring Operation: 46-17=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 18, 23, 39, 26 ]
65
[ "23-18=5", "39-26=13", "5*13=65" ]
Current State: 65:[18, 23, 39, 26], Operations: [] Exploring Operation: 23-18=5, Resulting Numbers: [39, 26, 5] Generated Node #2: [39, 26, 5] from Operation: 23-18=5 Current State: 65:[39, 26, 5], Operations: ['23-18=5'] Exploring Operation: 39-26=13, Resulting Numbers: [5, 13] Generated Node #3: [5, 13] from Operation: 39-26=13 Current State: 65:[5, 13], Operations: ['23-18=5', '39-26=13'] Exploring Operation: 5*13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 44, 40, 64, 24 ]
66
[ "44-24=20", "40/20=2", "64+2=66" ]
Current State: 66:[44, 40, 64, 24], Operations: [] Exploring Operation: 44-24=20, Resulting Numbers: [40, 64, 20] Generated Node #2: [40, 64, 20] from Operation: 44-24=20 Current State: 66:[40, 64, 20], Operations: ['44-24=20'] Exploring Operation: 40/20=2, Resulting Numbers: [64, 2] Generated Node #3: [64, 2] from Operation: 40/20=2 Current State: 66:[64, 2], Operations: ['44-24=20', '40/20=2'] Exploring Operation: 64+2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 60, 29, 9, 23 ]
45
[ "60-29=31", "23-9=14", "31+14=45" ]
Current State: 45:[60, 29, 9, 23], Operations: [] Exploring Operation: 60-29=31, Resulting Numbers: [9, 23, 31] Generated Node #2: [9, 23, 31] from Operation: 60-29=31 Current State: 45:[9, 23, 31], Operations: ['60-29=31'] Exploring Operation: 23-9=14, Resulting Numbers: [31, 14] Generated Node #3: [31, 14] from Operation: 23-9=14 Current State: 45:[31, 14], Operations: ['60-29=31', '23-9=14'] Exploring Operation: 31+14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 12, 14, 13, 37 ]
35
[ "12+14=26", "26/13=2", "37-2=35" ]
Current State: 35:[12, 14, 13, 37], Operations: [] Exploring Operation: 12+14=26, Resulting Numbers: [13, 37, 26] Generated Node #2: [13, 37, 26] from Operation: 12+14=26 Current State: 35:[13, 37, 26], Operations: ['12+14=26'] Exploring Operation: 26/13=2, Resulting Numbers: [37, 2] Generated Node #3: [37, 2] from Operation: 26/13=2 Current State: 35:[37, 2], Operations: ['12+14=26', '26/13=2'] Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 22, 41, 93, 4 ]
17
[ "41-22=19", "4*19=76", "93-76=17" ]
Current State: 17:[22, 41, 93, 4], Operations: [] Exploring Operation: 41-22=19, Resulting Numbers: [93, 4, 19] Generated Node #2: [93, 4, 19] from Operation: 41-22=19 Current State: 17:[93, 4, 19], Operations: ['41-22=19'] Exploring Operation: 4*19=76, Resulting Numbers: [93, 76] Generated Node #3: [93, 76] from Operation: 4*19=76 Current State: 17:[93, 76], Operations: ['41-22=19', '4*19=76'] Exploring Operation: 93-76=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 42, 60, 59, 31 ]
12
[ "42+60=102", "59+31=90", "102-90=12" ]
Current State: 12:[42, 60, 59, 31], Operations: [] Exploring Operation: 42+60=102, Resulting Numbers: [59, 31, 102] Generated Node #2: [59, 31, 102] from Operation: 42+60=102 Current State: 12:[59, 31, 102], Operations: ['42+60=102'] Exploring Operation: 59+31=90, Resulting Numbers: [102, 90] Generated Node #3: [102, 90] from Operation: 59+31=90 Current State: 12:[102, 90], Operations: ['42+60=102', '59+31=90'] Exploring Operation: 102-90=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 20, 23, 4, 35 ]
93
[ "23-20=3", "35-4=31", "3*31=93" ]
Current State: 93:[20, 23, 4, 35], Operations: [] Exploring Operation: 23-20=3, Resulting Numbers: [4, 35, 3] Generated Node #2: [4, 35, 3] from Operation: 23-20=3 Current State: 93:[4, 35, 3], Operations: ['23-20=3'] Exploring Operation: 35-4=31, Resulting Numbers: [3, 31] Generated Node #3: [3, 31] from Operation: 35-4=31 Current State: 93:[3, 31], Operations: ['23-20=3', '35-4=31'] Exploring Operation: 3*31=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 85, 72, 90, 82 ]
42
[ "85-82=3", "90/3=30", "72-30=42" ]
Current State: 42:[85, 72, 90, 82], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [72, 90, 3] Generated Node #2: [72, 90, 3] from Operation: 85-82=3 Current State: 42:[72, 90, 3], Operations: ['85-82=3'] Exploring Operation: 90/3=30, Resulting Numbers: [72, 30] Generated Node #3: [72, 30] from Operation: 90/3=30 Current State: 42:[72, 30], Operations: ['85-82=3', '90/3=30'] Exploring Operation: 72-30=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 20, 43, 95 ]
66
[ "43+95=138", "138/3=46", "20+46=66" ]
Current State: 66:[3, 20, 43, 95], Operations: [] Exploring Operation: 43+95=138, Resulting Numbers: [3, 20, 138] Generated Node #2: [3, 20, 138] from Operation: 43+95=138 Current State: 66:[3, 20, 138], Operations: ['43+95=138'] Exploring Operation: 138/3=46, Resulting Numbers: [20, 46] Generated Node #3: [20, 46] from Operation: 138/3=46 Current State: 66:[20, 46], Operations: ['43+95=138', '138/3=46'] Exploring Operation: 20+46=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 7, 5, 30, 60 ]
65
[ "7*5=35", "60-30=30", "35+30=65" ]
Current State: 65:[7, 5, 30, 60], Operations: [] Exploring Operation: 7*5=35, Resulting Numbers: [30, 60, 35] Generated Node #2: [30, 60, 35] from Operation: 7*5=35 Current State: 65:[30, 60, 35], Operations: ['7*5=35'] Exploring Operation: 60-30=30, Resulting Numbers: [35, 30] Generated Node #3: [35, 30] from Operation: 60-30=30 Current State: 65:[35, 30], Operations: ['7*5=35', '60-30=30'] Exploring Operation: 35+30=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 14, 86, 79, 2 ]
73
[ "86-2=84", "84/14=6", "79-6=73" ]
Current State: 73:[14, 86, 79, 2], Operations: [] Exploring Operation: 86-2=84, Resulting Numbers: [14, 79, 84] Generated Node #2: [14, 79, 84] from Operation: 86-2=84 Current State: 73:[14, 79, 84], Operations: ['86-2=84'] Exploring Operation: 84/14=6, Resulting Numbers: [79, 6] Generated Node #3: [79, 6] from Operation: 84/14=6 Current State: 73:[79, 6], Operations: ['86-2=84', '84/14=6'] Exploring Operation: 79-6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 68, 83, 79, 96 ]
32
[ "83-68=15", "96-79=17", "15+17=32" ]
Current State: 32:[68, 83, 79, 96], Operations: [] Exploring Operation: 83-68=15, Resulting Numbers: [79, 96, 15] Generated Node #2: [79, 96, 15] from Operation: 83-68=15 Current State: 32:[79, 96, 15], Operations: ['83-68=15'] Exploring Operation: 96-79=17, Resulting Numbers: [15, 17] Generated Node #3: [15, 17] from Operation: 96-79=17 Current State: 32:[15, 17], Operations: ['83-68=15', '96-79=17'] Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 75, 20, 30, 45 ]
12
[ "75+45=120", "30-20=10", "120/10=12" ]
Current State: 12:[75, 20, 30, 45], Operations: [] Exploring Operation: 75+45=120, Resulting Numbers: [20, 30, 120] Generated Node #2: [20, 30, 120] from Operation: 75+45=120 Current State: 12:[20, 30, 120], Operations: ['75+45=120'] Exploring Operation: 30-20=10, Resulting Numbers: [120, 10] Generated Node #3: [120, 10] from Operation: 30-20=10 Current State: 12:[120, 10], Operations: ['75+45=120', '30-20=10'] Exploring Operation: 120/10=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 3, 68, 43, 98 ]
33
[ "98-68=30", "30/3=10", "43-10=33" ]
Current State: 33:[3, 68, 43, 98], Operations: [] Exploring Operation: 98-68=30, Resulting Numbers: [3, 43, 30] Generated Node #2: [3, 43, 30] from Operation: 98-68=30 Current State: 33:[3, 43, 30], Operations: ['98-68=30'] Exploring Operation: 30/3=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 30/3=10 Current State: 33:[43, 10], Operations: ['98-68=30', '30/3=10'] Exploring Operation: 43-10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 21, 80, 40, 54 ]
48
[ "80/40=2", "54/2=27", "21+27=48" ]
Current State: 48:[21, 80, 40, 54], Operations: [] Exploring Operation: 80/40=2, Resulting Numbers: [21, 54, 2] Generated Node #2: [21, 54, 2] from Operation: 80/40=2 Current State: 48:[21, 54, 2], Operations: ['80/40=2'] Exploring Operation: 54/2=27, Resulting Numbers: [21, 27] Generated Node #3: [21, 27] from Operation: 54/2=27 Current State: 48:[21, 27], Operations: ['80/40=2', '54/2=27'] Exploring Operation: 21+27=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 55, 53, 14 ]
70
[ "3+55=58", "58-53=5", "14*5=70" ]
Current State: 70:[3, 55, 53, 14], Operations: [] Exploring Operation: 3+55=58, Resulting Numbers: [53, 14, 58] Generated Node #2: [53, 14, 58] from Operation: 3+55=58 Current State: 70:[53, 14, 58], Operations: ['3+55=58'] Exploring Operation: 58-53=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 58-53=5 Current State: 70:[14, 5], Operations: ['3+55=58', '58-53=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 92, 98, 34, 60 ]
24
[ "98-92=6", "60/6=10", "34-10=24" ]
Current State: 24:[92, 98, 34, 60], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [34, 60, 6] Generated Node #2: [34, 60, 6] from Operation: 98-92=6 Current State: 24:[34, 60, 6], Operations: ['98-92=6'] Exploring Operation: 60/6=10, Resulting Numbers: [34, 10] Generated Node #3: [34, 10] from Operation: 60/6=10 Current State: 24:[34, 10], Operations: ['98-92=6', '60/6=10'] Exploring Operation: 34-10=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 60, 9, 81, 55 ]
36
[ "60-55=5", "9*5=45", "81-45=36" ]
Current State: 36:[60, 9, 81, 55], Operations: [] Exploring Operation: 60-55=5, Resulting Numbers: [9, 81, 5] Generated Node #2: [9, 81, 5] from Operation: 60-55=5 Current State: 36:[9, 81, 5], Operations: ['60-55=5'] Exploring Operation: 9*5=45, Resulting Numbers: [81, 45] Generated Node #3: [81, 45] from Operation: 9*5=45 Current State: 36:[81, 45], Operations: ['60-55=5', '9*5=45'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 58, 38, 69, 14 ]
63
[ "58-38=20", "69+14=83", "83-20=63" ]
Current State: 63:[58, 38, 69, 14], Operations: [] Exploring Operation: 58-38=20, Resulting Numbers: [69, 14, 20] Generated Node #2: [69, 14, 20] from Operation: 58-38=20 Current State: 63:[69, 14, 20], Operations: ['58-38=20'] Exploring Operation: 69+14=83, Resulting Numbers: [20, 83] Generated Node #3: [20, 83] from Operation: 69+14=83 Current State: 63:[20, 83], Operations: ['58-38=20', '69+14=83'] Exploring Operation: 83-20=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 18, 24, 4 ]
82
[ "19*4=76", "24-18=6", "76+6=82" ]
Current State: 82:[19, 18, 24, 4], Operations: [] Exploring Operation: 19*4=76, Resulting Numbers: [18, 24, 76] Generated Node #2: [18, 24, 76] from Operation: 19*4=76 Current State: 82:[18, 24, 76], Operations: ['19*4=76'] Exploring Operation: 24-18=6, Resulting Numbers: [76, 6] Generated Node #3: [76, 6] from Operation: 24-18=6 Current State: 82:[76, 6], Operations: ['19*4=76', '24-18=6'] Exploring Operation: 76+6=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4