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
[ 17, 10, 42, 34 ]
30
[ "34/17=2", "42-10=32", "32-2=30" ]
Current State: 30:[17, 10, 42, 34], Operations: [] Exploring Operation: 34/17=2, Resulting Numbers: [10, 42, 2] Generated Node #2: [10, 42, 2] from Operation: 34/17=2 Current State: 30:[10, 42, 2], Operations: ['34/17=2'] Exploring Operation: 42-10=32, Resulting Numbers: [2, 32] Generated Node #3: [2, 32] from Operation: 42-10=32 Current State: 30:[2, 32], Operations: ['34/17=2', '42-10=32'] Exploring Operation: 32-2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 25, 54, 39, 78 ]
88
[ "54-25=29", "39+78=117", "117-29=88" ]
Current State: 88:[25, 54, 39, 78], Operations: [] Exploring Operation: 54-25=29, Resulting Numbers: [39, 78, 29] Generated Node #2: [39, 78, 29] from Operation: 54-25=29 Current State: 88:[39, 78, 29], Operations: ['54-25=29'] Exploring Operation: 39+78=117, Resulting Numbers: [29, 117] Generated Node #3: [29, 117] from Operation: 39+78=117 Current State: 88:[29, 117], Operations: ['54-25=29', '39+78=117'] Exploring Operation: 117-29=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 76, 82, 14, 4 ]
77
[ "76/4=19", "82+14=96", "96-19=77" ]
Current State: 77:[76, 82, 14, 4], Operations: [] Exploring Operation: 76/4=19, Resulting Numbers: [82, 14, 19] Generated Node #2: [82, 14, 19] from Operation: 76/4=19 Current State: 77:[82, 14, 19], Operations: ['76/4=19'] Exploring Operation: 82+14=96, Resulting Numbers: [19, 96] Generated Node #3: [19, 96] from Operation: 82+14=96 Current State: 77:[19, 96], Operations: ['76/4=19', '82+14=96'] Exploring Operation: 96-19=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 44, 84, 38, 92 ]
48
[ "44-38=6", "92-84=8", "6*8=48" ]
Current State: 48:[44, 84, 38, 92], Operations: [] Exploring Operation: 44-38=6, Resulting Numbers: [84, 92, 6] Generated Node #2: [84, 92, 6] from Operation: 44-38=6 Current State: 48:[84, 92, 6], Operations: ['44-38=6'] Exploring Operation: 92-84=8, Resulting Numbers: [6, 8] Generated Node #3: [6, 8] from Operation: 92-84=8 Current State: 48:[6, 8], Operations: ['44-38=6', '92-84=8'] Exploring Operation: 6*8=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 3, 73, 91, 39 ]
54
[ "3+73=76", "91+39=130", "130-76=54" ]
Current State: 54:[3, 73, 91, 39], Operations: [] Exploring Operation: 3+73=76, Resulting Numbers: [91, 39, 76] Generated Node #2: [91, 39, 76] from Operation: 3+73=76 Current State: 54:[91, 39, 76], Operations: ['3+73=76'] Exploring Operation: 91+39=130, Resulting Numbers: [76, 130] Generated Node #3: [76, 130] from Operation: 91+39=130 Current State: 54:[76, 130], Operations: ['3+73=76', '91+39=130'] Exploring Operation: 130-76=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 9, 2, 24, 83 ]
41
[ "9*2=18", "83-24=59", "59-18=41" ]
Current State: 41:[9, 2, 24, 83], Operations: [] Exploring Operation: 9*2=18, Resulting Numbers: [24, 83, 18] Generated Node #2: [24, 83, 18] from Operation: 9*2=18 Current State: 41:[24, 83, 18], Operations: ['9*2=18'] Exploring Operation: 83-24=59, Resulting Numbers: [18, 59] Generated Node #3: [18, 59] from Operation: 83-24=59 Current State: 41:[18, 59], Operations: ['9*2=18', '83-24=59'] Exploring Operation: 59-18=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 10, 39, 31, 54 ]
61
[ "39+31=70", "70/10=7", "54+7=61" ]
Current State: 61:[10, 39, 31, 54], Operations: [] Exploring Operation: 39+31=70, Resulting Numbers: [10, 54, 70] Generated Node #2: [10, 54, 70] from Operation: 39+31=70 Current State: 61:[10, 54, 70], Operations: ['39+31=70'] Exploring Operation: 70/10=7, Resulting Numbers: [54, 7] Generated Node #3: [54, 7] from Operation: 70/10=7 Current State: 61:[54, 7], Operations: ['39+31=70', '70/10=7'] Exploring Operation: 54+7=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 36, 21, 53, 72 ]
68
[ "36+21=57", "53+72=125", "125-57=68" ]
Current State: 68:[36, 21, 53, 72], Operations: [] Exploring Operation: 36+21=57, Resulting Numbers: [53, 72, 57] Generated Node #2: [53, 72, 57] from Operation: 36+21=57 Current State: 68:[53, 72, 57], Operations: ['36+21=57'] Exploring Operation: 53+72=125, Resulting Numbers: [57, 125] Generated Node #3: [57, 125] from Operation: 53+72=125 Current State: 68:[57, 125], Operations: ['36+21=57', '53+72=125'] Exploring Operation: 125-57=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 58, 47, 82, 87 ]
86
[ "47+82=129", "58*129=7482", "7482/87=86" ]
Current State: 86:[58, 47, 82, 87], Operations: [] Exploring Operation: 47+82=129, Resulting Numbers: [58, 87, 129] Generated Node #2: [58, 87, 129] from Operation: 47+82=129 Current State: 86:[58, 87, 129], Operations: ['47+82=129'] Exploring Operation: 58*129=7482, Resulting Numbers: [87, 7482] Generated Node #3: [87, 7482] from Operation: 58*129=7482 Current State: 86:[87, 7482], Operations: ['47+82=129', '58*129=7482'] Exploring Operation: 7482/87=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 37, 62, 95, 19 ]
51
[ "62-37=25", "95-19=76", "76-25=51" ]
Current State: 51:[37, 62, 95, 19], Operations: [] Exploring Operation: 62-37=25, Resulting Numbers: [95, 19, 25] Generated Node #2: [95, 19, 25] from Operation: 62-37=25 Current State: 51:[95, 19, 25], Operations: ['62-37=25'] Exploring Operation: 95-19=76, Resulting Numbers: [25, 76] Generated Node #3: [25, 76] from Operation: 95-19=76 Current State: 51:[25, 76], Operations: ['62-37=25', '95-19=76'] Exploring Operation: 76-25=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 83, 70, 44, 72 ]
78
[ "83-44=39", "72-70=2", "39*2=78" ]
Current State: 78:[83, 70, 44, 72], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [70, 72, 39] Generated Node #2: [70, 72, 39] from Operation: 83-44=39 Current State: 78:[70, 72, 39], Operations: ['83-44=39'] Exploring Operation: 72-70=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 72-70=2 Current State: 78:[39, 2], Operations: ['83-44=39', '72-70=2'] Exploring Operation: 39*2=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 4, 57, 84, 12 ]
47
[ "12/4=3", "57+84=141", "141/3=47" ]
Current State: 47:[4, 57, 84, 12], Operations: [] Exploring Operation: 12/4=3, Resulting Numbers: [57, 84, 3] Generated Node #2: [57, 84, 3] from Operation: 12/4=3 Current State: 47:[57, 84, 3], Operations: ['12/4=3'] Exploring Operation: 57+84=141, Resulting Numbers: [3, 141] Generated Node #3: [3, 141] from Operation: 57+84=141 Current State: 47:[3, 141], Operations: ['12/4=3', '57+84=141'] Exploring Operation: 141/3=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 17, 2, 97, 54 ]
67
[ "97-17=80", "54+80=134", "134/2=67" ]
Current State: 67:[17, 2, 97, 54], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [2, 54, 80] Generated Node #2: [2, 54, 80] from Operation: 97-17=80 Current State: 67:[2, 54, 80], Operations: ['97-17=80'] Exploring Operation: 54+80=134, Resulting Numbers: [2, 134] Generated Node #3: [2, 134] from Operation: 54+80=134 Current State: 67:[2, 134], Operations: ['97-17=80', '54+80=134'] Exploring Operation: 134/2=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 48, 67, 21, 77 ]
17
[ "48+67=115", "21+77=98", "115-98=17" ]
Current State: 17:[48, 67, 21, 77], Operations: [] Exploring Operation: 48+67=115, Resulting Numbers: [21, 77, 115] Generated Node #2: [21, 77, 115] from Operation: 48+67=115 Current State: 17:[21, 77, 115], Operations: ['48+67=115'] Exploring Operation: 21+77=98, Resulting Numbers: [115, 98] Generated Node #3: [115, 98] from Operation: 21+77=98 Current State: 17:[115, 98], Operations: ['48+67=115', '21+77=98'] Exploring Operation: 115-98=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 89, 62, 68, 15 ]
56
[ "89-62=27", "68+15=83", "83-27=56" ]
Current State: 56:[89, 62, 68, 15], Operations: [] Exploring Operation: 89-62=27, Resulting Numbers: [68, 15, 27] Generated Node #2: [68, 15, 27] from Operation: 89-62=27 Current State: 56:[68, 15, 27], Operations: ['89-62=27'] Exploring Operation: 68+15=83, Resulting Numbers: [27, 83] Generated Node #3: [27, 83] from Operation: 68+15=83 Current State: 56:[27, 83], Operations: ['89-62=27', '68+15=83'] Exploring Operation: 83-27=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 59, 11, 6, 55 ]
91
[ "11*55=605", "605-59=546", "546/6=91" ]
Current State: 91:[59, 11, 6, 55], Operations: [] Exploring Operation: 11*55=605, Resulting Numbers: [59, 6, 605] Generated Node #2: [59, 6, 605] from Operation: 11*55=605 Current State: 91:[59, 6, 605], Operations: ['11*55=605'] Exploring Operation: 605-59=546, Resulting Numbers: [6, 546] Generated Node #3: [6, 546] from Operation: 605-59=546 Current State: 91:[6, 546], Operations: ['11*55=605', '605-59=546'] Exploring Operation: 546/6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 75, 30, 60, 32 ]
64
[ "75-60=15", "30*32=960", "960/15=64" ]
Current State: 64:[75, 30, 60, 32], Operations: [] Exploring Operation: 75-60=15, Resulting Numbers: [30, 32, 15] Generated Node #2: [30, 32, 15] from Operation: 75-60=15 Current State: 64:[30, 32, 15], Operations: ['75-60=15'] Exploring Operation: 30*32=960, Resulting Numbers: [15, 960] Generated Node #3: [15, 960] from Operation: 30*32=960 Current State: 64:[15, 960], Operations: ['75-60=15', '30*32=960'] Exploring Operation: 960/15=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 94, 73, 36, 46 ]
31
[ "94-73=21", "46-36=10", "21+10=31" ]
Current State: 31:[94, 73, 36, 46], Operations: [] Exploring Operation: 94-73=21, Resulting Numbers: [36, 46, 21] Generated Node #2: [36, 46, 21] from Operation: 94-73=21 Current State: 31:[36, 46, 21], Operations: ['94-73=21'] Exploring Operation: 46-36=10, Resulting Numbers: [21, 10] Generated Node #3: [21, 10] from Operation: 46-36=10 Current State: 31:[21, 10], Operations: ['94-73=21', '46-36=10'] Exploring Operation: 21+10=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 26, 63, 57, 78 ]
23
[ "78-57=21", "63/21=3", "26-3=23" ]
Current State: 23:[26, 63, 57, 78], Operations: [] Exploring Operation: 78-57=21, Resulting Numbers: [26, 63, 21] Generated Node #2: [26, 63, 21] from Operation: 78-57=21 Current State: 23:[26, 63, 21], Operations: ['78-57=21'] Exploring Operation: 63/21=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 63/21=3 Current State: 23:[26, 3], Operations: ['78-57=21', '63/21=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 50, 47, 78, 77 ]
58
[ "50+47=97", "78+77=155", "155-97=58" ]
Current State: 58:[50, 47, 78, 77], Operations: [] Exploring Operation: 50+47=97, Resulting Numbers: [78, 77, 97] Generated Node #2: [78, 77, 97] from Operation: 50+47=97 Current State: 58:[78, 77, 97], Operations: ['50+47=97'] Exploring Operation: 78+77=155, Resulting Numbers: [97, 155] Generated Node #3: [97, 155] from Operation: 78+77=155 Current State: 58:[97, 155], Operations: ['50+47=97', '78+77=155'] Exploring Operation: 155-97=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 25, 4, 57, 3 ]
24
[ "57-25=32", "32/4=8", "3*8=24" ]
Current State: 24:[25, 4, 57, 3], Operations: [] Exploring Operation: 57-25=32, Resulting Numbers: [4, 3, 32] Generated Node #2: [4, 3, 32] from Operation: 57-25=32 Current State: 24:[4, 3, 32], Operations: ['57-25=32'] Exploring Operation: 32/4=8, Resulting Numbers: [3, 8] Generated Node #3: [3, 8] from Operation: 32/4=8 Current State: 24:[3, 8], Operations: ['57-25=32', '32/4=8'] Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 17, 54, 46, 84 ]
33
[ "17+54=71", "84-46=38", "71-38=33" ]
Current State: 33:[17, 54, 46, 84], Operations: [] Exploring Operation: 17+54=71, Resulting Numbers: [46, 84, 71] Generated Node #2: [46, 84, 71] from Operation: 17+54=71 Current State: 33:[46, 84, 71], Operations: ['17+54=71'] Exploring Operation: 84-46=38, Resulting Numbers: [71, 38] Generated Node #3: [71, 38] from Operation: 84-46=38 Current State: 33:[71, 38], Operations: ['17+54=71', '84-46=38'] Exploring Operation: 71-38=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 42, 35, 44, 42 ]
78
[ "42/42=1", "35+44=79", "79-1=78" ]
Current State: 78:[42, 35, 44, 42], Operations: [] Exploring Operation: 42/42=1, Resulting Numbers: [35, 44, 1] Generated Node #2: [35, 44, 1] from Operation: 42/42=1 Current State: 78:[35, 44, 1], Operations: ['42/42=1'] Exploring Operation: 35+44=79, Resulting Numbers: [1, 79] Generated Node #3: [1, 79] from Operation: 35+44=79 Current State: 78:[1, 79], Operations: ['42/42=1', '35+44=79'] Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 75, 57, 27, 4 ]
41
[ "75-57=18", "27-4=23", "18+23=41" ]
Current State: 41:[75, 57, 27, 4], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [27, 4, 18] Generated Node #2: [27, 4, 18] from Operation: 75-57=18 Current State: 41:[27, 4, 18], Operations: ['75-57=18'] Exploring Operation: 27-4=23, Resulting Numbers: [18, 23] Generated Node #3: [18, 23] from Operation: 27-4=23 Current State: 41:[18, 23], Operations: ['75-57=18', '27-4=23'] Exploring Operation: 18+23=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 13, 1, 74, 8 ]
68
[ "13+1=14", "74+8=82", "82-14=68" ]
Current State: 68:[13, 1, 74, 8], Operations: [] Exploring Operation: 13+1=14, Resulting Numbers: [74, 8, 14] Generated Node #2: [74, 8, 14] from Operation: 13+1=14 Current State: 68:[74, 8, 14], Operations: ['13+1=14'] Exploring Operation: 74+8=82, Resulting Numbers: [14, 82] Generated Node #3: [14, 82] from Operation: 74+8=82 Current State: 68:[14, 82], Operations: ['13+1=14', '74+8=82'] Exploring Operation: 82-14=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 76, 26, 43, 74 ]
15
[ "76+26=102", "43+74=117", "117-102=15" ]
Current State: 15:[76, 26, 43, 74], Operations: [] Exploring Operation: 76+26=102, Resulting Numbers: [43, 74, 102] Generated Node #2: [43, 74, 102] from Operation: 76+26=102 Current State: 15:[43, 74, 102], Operations: ['76+26=102'] Exploring Operation: 43+74=117, Resulting Numbers: [102, 117] Generated Node #3: [102, 117] from Operation: 43+74=117 Current State: 15:[102, 117], Operations: ['76+26=102', '43+74=117'] Exploring Operation: 117-102=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 77, 66, 41, 43 ]
88
[ "43-41=2", "77*2=154", "154-66=88" ]
Current State: 88:[77, 66, 41, 43], Operations: [] Exploring Operation: 43-41=2, Resulting Numbers: [77, 66, 2] Generated Node #2: [77, 66, 2] from Operation: 43-41=2 Current State: 88:[77, 66, 2], Operations: ['43-41=2'] Exploring Operation: 77*2=154, Resulting Numbers: [66, 154] Generated Node #3: [66, 154] from Operation: 77*2=154 Current State: 88:[66, 154], Operations: ['43-41=2', '77*2=154'] Exploring Operation: 154-66=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 21, 59, 10, 4 ]
44
[ "59-21=38", "10-4=6", "38+6=44" ]
Current State: 44:[21, 59, 10, 4], Operations: [] Exploring Operation: 59-21=38, Resulting Numbers: [10, 4, 38] Generated Node #2: [10, 4, 38] from Operation: 59-21=38 Current State: 44:[10, 4, 38], Operations: ['59-21=38'] Exploring Operation: 10-4=6, Resulting Numbers: [38, 6] Generated Node #3: [38, 6] from Operation: 10-4=6 Current State: 44:[38, 6], Operations: ['59-21=38', '10-4=6'] Exploring Operation: 38+6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 24, 22, 5, 3 ]
71
[ "22-3=19", "5*19=95", "95-24=71" ]
Current State: 71:[24, 22, 5, 3], Operations: [] Exploring Operation: 22-3=19, Resulting Numbers: [24, 5, 19] Generated Node #2: [24, 5, 19] from Operation: 22-3=19 Current State: 71:[24, 5, 19], Operations: ['22-3=19'] Exploring Operation: 5*19=95, Resulting Numbers: [24, 95] Generated Node #3: [24, 95] from Operation: 5*19=95 Current State: 71:[24, 95], Operations: ['22-3=19', '5*19=95'] Exploring Operation: 95-24=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 33, 20, 97, 64 ]
19
[ "97-33=64", "64/64=1", "20-1=19" ]
Current State: 19:[33, 20, 97, 64], Operations: [] Exploring Operation: 97-33=64, Resulting Numbers: [20, 64, 64] Generated Node #2: [20, 64, 64] from Operation: 97-33=64 Current State: 19:[20, 64, 64], Operations: ['97-33=64'] Exploring Operation: 64/64=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 64/64=1 Current State: 19:[20, 1], Operations: ['97-33=64', '64/64=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 42, 49, 44, 72 ]
25
[ "42+49=91", "44+72=116", "116-91=25" ]
Current State: 25:[42, 49, 44, 72], Operations: [] Exploring Operation: 42+49=91, Resulting Numbers: [44, 72, 91] Generated Node #2: [44, 72, 91] from Operation: 42+49=91 Current State: 25:[44, 72, 91], Operations: ['42+49=91'] Exploring Operation: 44+72=116, Resulting Numbers: [91, 116] Generated Node #3: [91, 116] from Operation: 44+72=116 Current State: 25:[91, 116], Operations: ['42+49=91', '44+72=116'] Exploring Operation: 116-91=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 5, 24, 61, 41 ]
96
[ "61-41=20", "20/5=4", "24*4=96" ]
Current State: 96:[5, 24, 61, 41], Operations: [] Exploring Operation: 61-41=20, Resulting Numbers: [5, 24, 20] Generated Node #2: [5, 24, 20] from Operation: 61-41=20 Current State: 96:[5, 24, 20], Operations: ['61-41=20'] Exploring Operation: 20/5=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 20/5=4 Current State: 96:[24, 4], Operations: ['61-41=20', '20/5=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 99, 58, 4, 82 ]
48
[ "58*82=4756", "4756-4=4752", "4752/99=48" ]
Current State: 48:[99, 58, 4, 82], Operations: [] Exploring Operation: 58*82=4756, Resulting Numbers: [99, 4, 4756] Generated Node #2: [99, 4, 4756] from Operation: 58*82=4756 Current State: 48:[99, 4, 4756], Operations: ['58*82=4756'] Exploring Operation: 4756-4=4752, Resulting Numbers: [99, 4752] Generated Node #3: [99, 4752] from Operation: 4756-4=4752 Current State: 48:[99, 4752], Operations: ['58*82=4756', '4756-4=4752'] Exploring Operation: 4752/99=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 83, 85, 38, 52 ]
66
[ "85-83=2", "52*2=104", "104-38=66" ]
Current State: 66:[83, 85, 38, 52], Operations: [] Exploring Operation: 85-83=2, Resulting Numbers: [38, 52, 2] Generated Node #2: [38, 52, 2] from Operation: 85-83=2 Current State: 66:[38, 52, 2], Operations: ['85-83=2'] Exploring Operation: 52*2=104, Resulting Numbers: [38, 104] Generated Node #3: [38, 104] from Operation: 52*2=104 Current State: 66:[38, 104], Operations: ['85-83=2', '52*2=104'] Exploring Operation: 104-38=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 48, 39, 63, 79 ]
77
[ "63-39=24", "48/24=2", "79-2=77" ]
Current State: 77:[48, 39, 63, 79], Operations: [] Exploring Operation: 63-39=24, Resulting Numbers: [48, 79, 24] Generated Node #2: [48, 79, 24] from Operation: 63-39=24 Current State: 77:[48, 79, 24], Operations: ['63-39=24'] Exploring Operation: 48/24=2, Resulting Numbers: [79, 2] Generated Node #3: [79, 2] from Operation: 48/24=2 Current State: 77:[79, 2], Operations: ['63-39=24', '48/24=2'] Exploring Operation: 79-2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 22, 83, 21, 81 ]
65
[ "83-81=2", "22*2=44", "21+44=65" ]
Current State: 65:[22, 83, 21, 81], Operations: [] Exploring Operation: 83-81=2, Resulting Numbers: [22, 21, 2] Generated Node #2: [22, 21, 2] from Operation: 83-81=2 Current State: 65:[22, 21, 2], Operations: ['83-81=2'] Exploring Operation: 22*2=44, Resulting Numbers: [21, 44] Generated Node #3: [21, 44] from Operation: 22*2=44 Current State: 65:[21, 44], Operations: ['83-81=2', '22*2=44'] Exploring Operation: 21+44=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 81, 4, 31, 11 ]
68
[ "81+31=112", "4*11=44", "112-44=68" ]
Current State: 68:[81, 4, 31, 11], Operations: [] Exploring Operation: 81+31=112, Resulting Numbers: [4, 11, 112] Generated Node #2: [4, 11, 112] from Operation: 81+31=112 Current State: 68:[4, 11, 112], Operations: ['81+31=112'] Exploring Operation: 4*11=44, Resulting Numbers: [112, 44] Generated Node #3: [112, 44] from Operation: 4*11=44 Current State: 68:[112, 44], Operations: ['81+31=112', '4*11=44'] Exploring Operation: 112-44=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 22, 48, 96 ]
94
[ "25+22=47", "96/48=2", "47*2=94" ]
Current State: 94:[25, 22, 48, 96], Operations: [] Exploring Operation: 25+22=47, Resulting Numbers: [48, 96, 47] Generated Node #2: [48, 96, 47] from Operation: 25+22=47 Current State: 94:[48, 96, 47], Operations: ['25+22=47'] Exploring Operation: 96/48=2, Resulting Numbers: [47, 2] Generated Node #3: [47, 2] from Operation: 96/48=2 Current State: 94:[47, 2], Operations: ['25+22=47', '96/48=2'] Exploring Operation: 47*2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 51, 16, 4, 96 ]
61
[ "51+4=55", "96/16=6", "55+6=61" ]
Current State: 61:[51, 16, 4, 96], Operations: [] Exploring Operation: 51+4=55, Resulting Numbers: [16, 96, 55] Generated Node #2: [16, 96, 55] from Operation: 51+4=55 Current State: 61:[16, 96, 55], Operations: ['51+4=55'] Exploring Operation: 96/16=6, Resulting Numbers: [55, 6] Generated Node #3: [55, 6] from Operation: 96/16=6 Current State: 61:[55, 6], Operations: ['51+4=55', '96/16=6'] Exploring Operation: 55+6=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 1, 96, 3, 91 ]
62
[ "96-1=95", "91+95=186", "186/3=62" ]
Current State: 62:[1, 96, 3, 91], Operations: [] Exploring Operation: 96-1=95, Resulting Numbers: [3, 91, 95] Generated Node #2: [3, 91, 95] from Operation: 96-1=95 Current State: 62:[3, 91, 95], Operations: ['96-1=95'] Exploring Operation: 91+95=186, Resulting Numbers: [3, 186] Generated Node #3: [3, 186] from Operation: 91+95=186 Current State: 62:[3, 186], Operations: ['96-1=95', '91+95=186'] Exploring Operation: 186/3=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 97, 11, 7, 76 ]
96
[ "97+76=173", "11*7=77", "173-77=96" ]
Current State: 96:[97, 11, 7, 76], Operations: [] Exploring Operation: 97+76=173, Resulting Numbers: [11, 7, 173] Generated Node #2: [11, 7, 173] from Operation: 97+76=173 Current State: 96:[11, 7, 173], Operations: ['97+76=173'] Exploring Operation: 11*7=77, Resulting Numbers: [173, 77] Generated Node #3: [173, 77] from Operation: 11*7=77 Current State: 96:[173, 77], Operations: ['97+76=173', '11*7=77'] Exploring Operation: 173-77=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 99, 34, 12, 17 ]
71
[ "99+34=133", "12*17=204", "204-133=71" ]
Current State: 71:[99, 34, 12, 17], Operations: [] Exploring Operation: 99+34=133, Resulting Numbers: [12, 17, 133] Generated Node #2: [12, 17, 133] from Operation: 99+34=133 Current State: 71:[12, 17, 133], Operations: ['99+34=133'] Exploring Operation: 12*17=204, Resulting Numbers: [133, 204] Generated Node #3: [133, 204] from Operation: 12*17=204 Current State: 71:[133, 204], Operations: ['99+34=133', '12*17=204'] Exploring Operation: 204-133=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 12, 95, 67, 79 ]
39
[ "12+95=107", "67+79=146", "146-107=39" ]
Current State: 39:[12, 95, 67, 79], Operations: [] Exploring Operation: 12+95=107, Resulting Numbers: [67, 79, 107] Generated Node #2: [67, 79, 107] from Operation: 12+95=107 Current State: 39:[67, 79, 107], Operations: ['12+95=107'] Exploring Operation: 67+79=146, Resulting Numbers: [107, 146] Generated Node #3: [107, 146] from Operation: 67+79=146 Current State: 39:[107, 146], Operations: ['12+95=107', '67+79=146'] Exploring Operation: 146-107=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 28, 50, 22, 61 ]
17
[ "50-28=22", "61-22=39", "39-22=17" ]
Current State: 17:[28, 50, 22, 61], Operations: [] Exploring Operation: 50-28=22, Resulting Numbers: [22, 61, 22] Generated Node #2: [22, 61, 22] from Operation: 50-28=22 Current State: 17:[22, 61, 22], Operations: ['50-28=22'] Exploring Operation: 61-22=39, Resulting Numbers: [39] 39,17 equal: Goal Reached Exploring Operation: 39-22=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 65, 17, 69, 60 ]
73
[ "65+17=82", "69-60=9", "82-9=73" ]
Current State: 73:[65, 17, 69, 60], Operations: [] Exploring Operation: 65+17=82, Resulting Numbers: [69, 60, 82] Generated Node #2: [69, 60, 82] from Operation: 65+17=82 Current State: 73:[69, 60, 82], Operations: ['65+17=82'] Exploring Operation: 69-60=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 69-60=9 Current State: 73:[82, 9], Operations: ['65+17=82', '69-60=9'] Exploring Operation: 82-9=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 86, 95, 16, 27 ]
93
[ "16+27=43", "86/43=2", "95-2=93" ]
Current State: 93:[86, 95, 16, 27], Operations: [] Exploring Operation: 16+27=43, Resulting Numbers: [86, 95, 43] Generated Node #2: [86, 95, 43] from Operation: 16+27=43 Current State: 93:[86, 95, 43], Operations: ['16+27=43'] Exploring Operation: 86/43=2, Resulting Numbers: [95, 2] Generated Node #3: [95, 2] from Operation: 86/43=2 Current State: 93:[95, 2], Operations: ['16+27=43', '86/43=2'] Exploring Operation: 95-2=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 9, 17, 55, 57 ]
16
[ "17-9=8", "57-55=2", "8*2=16" ]
Current State: 16:[9, 17, 55, 57], Operations: [] Exploring Operation: 17-9=8, Resulting Numbers: [55, 57, 8] Generated Node #2: [55, 57, 8] from Operation: 17-9=8 Current State: 16:[55, 57, 8], Operations: ['17-9=8'] Exploring Operation: 57-55=2, Resulting Numbers: [8, 2] Generated Node #3: [8, 2] from Operation: 57-55=2 Current State: 16:[8, 2], Operations: ['17-9=8', '57-55=2'] Exploring Operation: 8*2=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 2, 28, 62 ]
67
[ "70*2=140", "140/28=5", "62+5=67" ]
Current State: 67:[70, 2, 28, 62], Operations: [] Exploring Operation: 70*2=140, Resulting Numbers: [28, 62, 140] Generated Node #2: [28, 62, 140] from Operation: 70*2=140 Current State: 67:[28, 62, 140], Operations: ['70*2=140'] Exploring Operation: 140/28=5, Resulting Numbers: [62, 5] Generated Node #3: [62, 5] from Operation: 140/28=5 Current State: 67:[62, 5], Operations: ['70*2=140', '140/28=5'] Exploring Operation: 62+5=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 98, 62, 31, 12 ]
88
[ "98-12=86", "62/31=2", "86+2=88" ]
Current State: 88:[98, 62, 31, 12], Operations: [] Exploring Operation: 98-12=86, Resulting Numbers: [62, 31, 86] Generated Node #2: [62, 31, 86] from Operation: 98-12=86 Current State: 88:[62, 31, 86], Operations: ['98-12=86'] Exploring Operation: 62/31=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 62/31=2 Current State: 88:[86, 2], Operations: ['98-12=86', '62/31=2'] Exploring Operation: 86+2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 31, 2, 15, 3 ]
32
[ "31+3=34", "34/2=17", "15+17=32" ]
Current State: 32:[31, 2, 15, 3], Operations: [] Exploring Operation: 31+3=34, Resulting Numbers: [2, 15, 34] Generated Node #2: [2, 15, 34] from Operation: 31+3=34 Current State: 32:[2, 15, 34], Operations: ['31+3=34'] Exploring Operation: 34/2=17, Resulting Numbers: [15, 17] Generated Node #3: [15, 17] from Operation: 34/2=17 Current State: 32:[15, 17], Operations: ['31+3=34', '34/2=17'] Exploring Operation: 15+17=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 17, 40, 3, 41 ]
50
[ "17*3=51", "41-40=1", "51-1=50" ]
Current State: 50:[17, 40, 3, 41], Operations: [] Exploring Operation: 17*3=51, Resulting Numbers: [40, 41, 51] Generated Node #2: [40, 41, 51] from Operation: 17*3=51 Current State: 50:[40, 41, 51], Operations: ['17*3=51'] Exploring Operation: 41-40=1, Resulting Numbers: [51, 1] Generated Node #3: [51, 1] from Operation: 41-40=1 Current State: 50:[51, 1], Operations: ['17*3=51', '41-40=1'] Exploring Operation: 51-1=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 31, 38, 24, 19 ]
76
[ "31-19=12", "38*24=912", "912/12=76" ]
Current State: 76:[31, 38, 24, 19], Operations: [] Exploring Operation: 31-19=12, Resulting Numbers: [38, 24, 12] Generated Node #2: [38, 24, 12] from Operation: 31-19=12 Current State: 76:[38, 24, 12], Operations: ['31-19=12'] Exploring Operation: 38*24=912, Resulting Numbers: [12, 912] Generated Node #3: [12, 912] from Operation: 38*24=912 Current State: 76:[12, 912], Operations: ['31-19=12', '38*24=912'] Exploring Operation: 912/12=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 60, 58, 75, 33 ]
54
[ "60-58=2", "75+33=108", "108/2=54" ]
Current State: 54:[60, 58, 75, 33], Operations: [] Exploring Operation: 60-58=2, Resulting Numbers: [75, 33, 2] Generated Node #2: [75, 33, 2] from Operation: 60-58=2 Current State: 54:[75, 33, 2], Operations: ['60-58=2'] Exploring Operation: 75+33=108, Resulting Numbers: [2, 108] Generated Node #3: [2, 108] from Operation: 75+33=108 Current State: 54:[2, 108], Operations: ['60-58=2', '75+33=108'] Exploring Operation: 108/2=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 57, 13, 48, 66 ]
26
[ "57-13=44", "66-48=18", "44-18=26" ]
Current State: 26:[57, 13, 48, 66], Operations: [] Exploring Operation: 57-13=44, Resulting Numbers: [48, 66, 44] Generated Node #2: [48, 66, 44] from Operation: 57-13=44 Current State: 26:[48, 66, 44], Operations: ['57-13=44'] Exploring Operation: 66-48=18, Resulting Numbers: [44, 18] Generated Node #3: [44, 18] from Operation: 66-48=18 Current State: 26:[44, 18], Operations: ['57-13=44', '66-48=18'] Exploring Operation: 44-18=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 76, 48, 12, 70 ]
30
[ "76-48=28", "12*70=840", "840/28=30" ]
Current State: 30:[76, 48, 12, 70], Operations: [] Exploring Operation: 76-48=28, Resulting Numbers: [12, 70, 28] Generated Node #2: [12, 70, 28] from Operation: 76-48=28 Current State: 30:[12, 70, 28], Operations: ['76-48=28'] Exploring Operation: 12*70=840, Resulting Numbers: [28, 840] Generated Node #3: [28, 840] from Operation: 12*70=840 Current State: 30:[28, 840], Operations: ['76-48=28', '12*70=840'] Exploring Operation: 840/28=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 23, 51, 23, 92 ]
47
[ "23*51=1173", "1173-92=1081", "1081/23=47" ]
Current State: 47:[23, 51, 23, 92], Operations: [] Exploring Operation: 23*51=1173, Resulting Numbers: [92, 1173] Generated Node #2: [92, 1173] from Operation: 23*51=1173 Current State: 47:[92, 1173], Operations: ['23*51=1173'] Exploring Operation: 1173-92=1081, Resulting Numbers: [1081] 1081,47 equal: Goal Reached Exploring Operation: 1081/23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 27, 19, 23, 10 ]
49
[ "27*19=513", "513-23=490", "490/10=49" ]
Current State: 49:[27, 19, 23, 10], Operations: [] Exploring Operation: 27*19=513, Resulting Numbers: [23, 10, 513] Generated Node #2: [23, 10, 513] from Operation: 27*19=513 Current State: 49:[23, 10, 513], Operations: ['27*19=513'] Exploring Operation: 513-23=490, Resulting Numbers: [10, 490] Generated Node #3: [10, 490] from Operation: 513-23=490 Current State: 49:[10, 490], Operations: ['27*19=513', '513-23=490'] Exploring Operation: 490/10=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 82, 17, 55, 3 ]
100
[ "82-17=65", "55*3=165", "165-65=100" ]
Current State: 100:[82, 17, 55, 3], Operations: [] Exploring Operation: 82-17=65, Resulting Numbers: [55, 3, 65] Generated Node #2: [55, 3, 65] from Operation: 82-17=65 Current State: 100:[55, 3, 65], Operations: ['82-17=65'] Exploring Operation: 55*3=165, Resulting Numbers: [65, 165] Generated Node #3: [65, 165] from Operation: 55*3=165 Current State: 100:[65, 165], Operations: ['82-17=65', '55*3=165'] Exploring Operation: 165-65=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 91, 28, 40, 17 ]
62
[ "91+28=119", "40+17=57", "119-57=62" ]
Current State: 62:[91, 28, 40, 17], Operations: [] Exploring Operation: 91+28=119, Resulting Numbers: [40, 17, 119] Generated Node #2: [40, 17, 119] from Operation: 91+28=119 Current State: 62:[40, 17, 119], Operations: ['91+28=119'] Exploring Operation: 40+17=57, Resulting Numbers: [119, 57] Generated Node #3: [119, 57] from Operation: 40+17=57 Current State: 62:[119, 57], Operations: ['91+28=119', '40+17=57'] Exploring Operation: 119-57=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 3, 23, 15, 71 ]
95
[ "23-15=8", "3*8=24", "71+24=95" ]
Current State: 95:[3, 23, 15, 71], Operations: [] Exploring Operation: 23-15=8, Resulting Numbers: [3, 71, 8] Generated Node #2: [3, 71, 8] from Operation: 23-15=8 Current State: 95:[3, 71, 8], Operations: ['23-15=8'] Exploring Operation: 3*8=24, Resulting Numbers: [71, 24] Generated Node #3: [71, 24] from Operation: 3*8=24 Current State: 95:[71, 24], Operations: ['23-15=8', '3*8=24'] Exploring Operation: 71+24=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 76, 68, 78 ]
83
[ "78-76=2", "68/2=34", "49+34=83" ]
Current State: 83:[49, 76, 68, 78], Operations: [] Exploring Operation: 78-76=2, Resulting Numbers: [49, 68, 2] Generated Node #2: [49, 68, 2] from Operation: 78-76=2 Current State: 83:[49, 68, 2], Operations: ['78-76=2'] Exploring Operation: 68/2=34, Resulting Numbers: [49, 34] Generated Node #3: [49, 34] from Operation: 68/2=34 Current State: 83:[49, 34], Operations: ['78-76=2', '68/2=34'] Exploring Operation: 49+34=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 31, 53, 8, 90 ]
29
[ "53-8=45", "90/45=2", "31-2=29" ]
Current State: 29:[31, 53, 8, 90], Operations: [] Exploring Operation: 53-8=45, Resulting Numbers: [31, 90, 45] Generated Node #2: [31, 90, 45] from Operation: 53-8=45 Current State: 29:[31, 90, 45], Operations: ['53-8=45'] Exploring Operation: 90/45=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 90/45=2 Current State: 29:[31, 2], Operations: ['53-8=45', '90/45=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 58, 2, 18, 79 ]
99
[ "58-18=40", "40/2=20", "79+20=99" ]
Current State: 99:[58, 2, 18, 79], Operations: [] Exploring Operation: 58-18=40, Resulting Numbers: [2, 79, 40] Generated Node #2: [2, 79, 40] from Operation: 58-18=40 Current State: 99:[2, 79, 40], Operations: ['58-18=40'] Exploring Operation: 40/2=20, Resulting Numbers: [79, 20] Generated Node #3: [79, 20] from Operation: 40/2=20 Current State: 99:[79, 20], Operations: ['58-18=40', '40/2=20'] Exploring Operation: 79+20=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 52, 64, 91, 71 ]
65
[ "71-64=7", "91/7=13", "52+13=65" ]
Current State: 65:[52, 64, 91, 71], Operations: [] Exploring Operation: 71-64=7, Resulting Numbers: [52, 91, 7] Generated Node #2: [52, 91, 7] from Operation: 71-64=7 Current State: 65:[52, 91, 7], Operations: ['71-64=7'] Exploring Operation: 91/7=13, Resulting Numbers: [52, 13] Generated Node #3: [52, 13] from Operation: 91/7=13 Current State: 65:[52, 13], Operations: ['71-64=7', '91/7=13'] Exploring Operation: 52+13=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 40, 36, 34, 72 ]
92
[ "36-34=2", "40/2=20", "72+20=92" ]
Current State: 92:[40, 36, 34, 72], Operations: [] Exploring Operation: 36-34=2, Resulting Numbers: [40, 72, 2] Generated Node #2: [40, 72, 2] from Operation: 36-34=2 Current State: 92:[40, 72, 2], Operations: ['36-34=2'] Exploring Operation: 40/2=20, Resulting Numbers: [72, 20] Generated Node #3: [72, 20] from Operation: 40/2=20 Current State: 92:[72, 20], Operations: ['36-34=2', '40/2=20'] Exploring Operation: 72+20=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 66, 3, 50, 33 ]
44
[ "66*3=198", "198/33=6", "50-6=44" ]
Current State: 44:[66, 3, 50, 33], Operations: [] Exploring Operation: 66*3=198, Resulting Numbers: [50, 33, 198] Generated Node #2: [50, 33, 198] from Operation: 66*3=198 Current State: 44:[50, 33, 198], Operations: ['66*3=198'] Exploring Operation: 198/33=6, Resulting Numbers: [50, 6] Generated Node #3: [50, 6] from Operation: 198/33=6 Current State: 44:[50, 6], Operations: ['66*3=198', '198/33=6'] Exploring Operation: 50-6=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 68, 80, 79, 1 ]
69
[ "68+80=148", "79*1=79", "148-79=69" ]
Current State: 69:[68, 80, 79, 1], Operations: [] Exploring Operation: 68+80=148, Resulting Numbers: [79, 1, 148] Generated Node #2: [79, 1, 148] from Operation: 68+80=148 Current State: 69:[79, 1, 148], Operations: ['68+80=148'] Exploring Operation: 79*1=79, Resulting Numbers: [148, 79] Generated Node #3: [148, 79] from Operation: 79*1=79 Current State: 69:[148, 79], Operations: ['68+80=148', '79*1=79'] Exploring Operation: 148-79=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 72, 7, 33, 2 ]
41
[ "7+2=9", "72/9=8", "33+8=41" ]
Current State: 41:[72, 7, 33, 2], Operations: [] Exploring Operation: 7+2=9, Resulting Numbers: [72, 33, 9] Generated Node #2: [72, 33, 9] from Operation: 7+2=9 Current State: 41:[72, 33, 9], Operations: ['7+2=9'] Exploring Operation: 72/9=8, Resulting Numbers: [33, 8] Generated Node #3: [33, 8] from Operation: 72/9=8 Current State: 41:[33, 8], Operations: ['7+2=9', '72/9=8'] Exploring Operation: 33+8=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 39, 67, 32, 15 ]
89
[ "39+67=106", "32-15=17", "106-17=89" ]
Current State: 89:[39, 67, 32, 15], Operations: [] Exploring Operation: 39+67=106, Resulting Numbers: [32, 15, 106] Generated Node #2: [32, 15, 106] from Operation: 39+67=106 Current State: 89:[32, 15, 106], Operations: ['39+67=106'] Exploring Operation: 32-15=17, Resulting Numbers: [106, 17] Generated Node #3: [106, 17] from Operation: 32-15=17 Current State: 89:[106, 17], Operations: ['39+67=106', '32-15=17'] Exploring Operation: 106-17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 89, 28, 59, 82 ]
94
[ "89+28=117", "82-59=23", "117-23=94" ]
Current State: 94:[89, 28, 59, 82], Operations: [] Exploring Operation: 89+28=117, Resulting Numbers: [59, 82, 117] Generated Node #2: [59, 82, 117] from Operation: 89+28=117 Current State: 94:[59, 82, 117], Operations: ['89+28=117'] Exploring Operation: 82-59=23, Resulting Numbers: [117, 23] Generated Node #3: [117, 23] from Operation: 82-59=23 Current State: 94:[117, 23], Operations: ['89+28=117', '82-59=23'] Exploring Operation: 117-23=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 71, 17, 16, 88 ]
72
[ "71*16=1136", "88+1136=1224", "1224/17=72" ]
Current State: 72:[71, 17, 16, 88], Operations: [] Exploring Operation: 71*16=1136, Resulting Numbers: [17, 88, 1136] Generated Node #2: [17, 88, 1136] from Operation: 71*16=1136 Current State: 72:[17, 88, 1136], Operations: ['71*16=1136'] Exploring Operation: 88+1136=1224, Resulting Numbers: [17, 1224] Generated Node #3: [17, 1224] from Operation: 88+1136=1224 Current State: 72:[17, 1224], Operations: ['71*16=1136', '88+1136=1224'] Exploring Operation: 1224/17=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 11, 70, 71, 68 ]
93
[ "70-68=2", "11*2=22", "71+22=93" ]
Current State: 93:[11, 70, 71, 68], Operations: [] Exploring Operation: 70-68=2, Resulting Numbers: [11, 71, 2] Generated Node #2: [11, 71, 2] from Operation: 70-68=2 Current State: 93:[11, 71, 2], Operations: ['70-68=2'] Exploring Operation: 11*2=22, Resulting Numbers: [71, 22] Generated Node #3: [71, 22] from Operation: 11*2=22 Current State: 93:[71, 22], Operations: ['70-68=2', '11*2=22'] Exploring Operation: 71+22=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 3, 51, 79, 99 ]
15
[ "79-51=28", "3*28=84", "99-84=15" ]
Current State: 15:[3, 51, 79, 99], Operations: [] Exploring Operation: 79-51=28, Resulting Numbers: [3, 99, 28] Generated Node #2: [3, 99, 28] from Operation: 79-51=28 Current State: 15:[3, 99, 28], Operations: ['79-51=28'] Exploring Operation: 3*28=84, Resulting Numbers: [99, 84] Generated Node #3: [99, 84] from Operation: 3*28=84 Current State: 15:[99, 84], Operations: ['79-51=28', '3*28=84'] Exploring Operation: 99-84=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 54, 61, 5, 84 ]
89
[ "84-54=30", "5*30=150", "150-61=89" ]
Current State: 89:[54, 61, 5, 84], Operations: [] Exploring Operation: 84-54=30, Resulting Numbers: [61, 5, 30] Generated Node #2: [61, 5, 30] from Operation: 84-54=30 Current State: 89:[61, 5, 30], Operations: ['84-54=30'] Exploring Operation: 5*30=150, Resulting Numbers: [61, 150] Generated Node #3: [61, 150] from Operation: 5*30=150 Current State: 89:[61, 150], Operations: ['84-54=30', '5*30=150'] Exploring Operation: 150-61=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 80, 4, 1, 61 ]
77
[ "80-61=19", "4*19=76", "1+76=77" ]
Current State: 77:[80, 4, 1, 61], Operations: [] Exploring Operation: 80-61=19, Resulting Numbers: [4, 1, 19] Generated Node #2: [4, 1, 19] from Operation: 80-61=19 Current State: 77:[4, 1, 19], Operations: ['80-61=19'] Exploring Operation: 4*19=76, Resulting Numbers: [1, 76] Generated Node #3: [1, 76] from Operation: 4*19=76 Current State: 77:[1, 76], Operations: ['80-61=19', '4*19=76'] Exploring Operation: 1+76=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 41, 87, 4, 78 ]
31
[ "87-41=46", "78+46=124", "124/4=31" ]
Current State: 31:[41, 87, 4, 78], Operations: [] Exploring Operation: 87-41=46, Resulting Numbers: [4, 78, 46] Generated Node #2: [4, 78, 46] from Operation: 87-41=46 Current State: 31:[4, 78, 46], Operations: ['87-41=46'] Exploring Operation: 78+46=124, Resulting Numbers: [4, 124] Generated Node #3: [4, 124] from Operation: 78+46=124 Current State: 31:[4, 124], Operations: ['87-41=46', '78+46=124'] Exploring Operation: 124/4=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 85, 10, 51, 53 ]
77
[ "85-10=75", "53-51=2", "75+2=77" ]
Current State: 77:[85, 10, 51, 53], Operations: [] Exploring Operation: 85-10=75, Resulting Numbers: [51, 53, 75] Generated Node #2: [51, 53, 75] from Operation: 85-10=75 Current State: 77:[51, 53, 75], Operations: ['85-10=75'] Exploring Operation: 53-51=2, Resulting Numbers: [75, 2] Generated Node #3: [75, 2] from Operation: 53-51=2 Current State: 77:[75, 2], Operations: ['85-10=75', '53-51=2'] Exploring Operation: 75+2=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 35, 90, 12, 98 ]
55
[ "90-35=55", "12+98=110", "110-55=55" ]
Current State: 55:[35, 90, 12, 98], Operations: [] Exploring Operation: 90-35=55, Resulting Numbers: [12, 98, 55] Generated Node #2: [12, 98, 55] from Operation: 90-35=55 Current State: 55:[12, 98, 55], Operations: ['90-35=55'] Exploring Operation: 12+98=110, Resulting Numbers: [55, 110] Generated Node #3: [55, 110] from Operation: 12+98=110 Current State: 55:[55, 110], Operations: ['90-35=55', '12+98=110'] Exploring Operation: 110-55=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 44, 18, 44, 36 ]
17
[ "44/44=1", "36-18=18", "18-1=17" ]
Current State: 17:[44, 18, 44, 36], Operations: [] Exploring Operation: 44/44=1, Resulting Numbers: [18, 36, 1] Generated Node #2: [18, 36, 1] from Operation: 44/44=1 Current State: 17:[18, 36, 1], Operations: ['44/44=1'] Exploring Operation: 36-18=18, Resulting Numbers: [1, 18] Generated Node #3: [1, 18] from Operation: 36-18=18 Current State: 17:[1, 18], Operations: ['44/44=1', '36-18=18'] Exploring Operation: 18-1=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 19, 37, 77, 2 ]
99
[ "77-37=40", "2*40=80", "19+80=99" ]
Current State: 99:[19, 37, 77, 2], Operations: [] Exploring Operation: 77-37=40, Resulting Numbers: [19, 2, 40] Generated Node #2: [19, 2, 40] from Operation: 77-37=40 Current State: 99:[19, 2, 40], Operations: ['77-37=40'] Exploring Operation: 2*40=80, Resulting Numbers: [19, 80] Generated Node #3: [19, 80] from Operation: 2*40=80 Current State: 99:[19, 80], Operations: ['77-37=40', '2*40=80'] Exploring Operation: 19+80=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 33, 11, 19, 97 ]
75
[ "33/11=3", "97-19=78", "78-3=75" ]
Current State: 75:[33, 11, 19, 97], Operations: [] Exploring Operation: 33/11=3, Resulting Numbers: [19, 97, 3] Generated Node #2: [19, 97, 3] from Operation: 33/11=3 Current State: 75:[19, 97, 3], Operations: ['33/11=3'] Exploring Operation: 97-19=78, Resulting Numbers: [3, 78] Generated Node #3: [3, 78] from Operation: 97-19=78 Current State: 75:[3, 78], Operations: ['33/11=3', '97-19=78'] Exploring Operation: 78-3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 2, 17, 9, 15 ]
65
[ "9+15=24", "2*24=48", "17+48=65" ]
Current State: 65:[2, 17, 9, 15], Operations: [] Exploring Operation: 9+15=24, Resulting Numbers: [2, 17, 24] Generated Node #2: [2, 17, 24] from Operation: 9+15=24 Current State: 65:[2, 17, 24], Operations: ['9+15=24'] Exploring Operation: 2*24=48, Resulting Numbers: [17, 48] Generated Node #3: [17, 48] from Operation: 2*24=48 Current State: 65:[17, 48], Operations: ['9+15=24', '2*24=48'] Exploring Operation: 17+48=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 34, 68, 14, 39 ]
19
[ "68-34=34", "14+39=53", "53-34=19" ]
Current State: 19:[34, 68, 14, 39], Operations: [] Exploring Operation: 68-34=34, Resulting Numbers: [14, 39, 34] Generated Node #2: [14, 39, 34] from Operation: 68-34=34 Current State: 19:[14, 39, 34], Operations: ['68-34=34'] Exploring Operation: 14+39=53, Resulting Numbers: [34, 53] Generated Node #3: [34, 53] from Operation: 14+39=53 Current State: 19:[34, 53], Operations: ['68-34=34', '14+39=53'] Exploring Operation: 53-34=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 30, 52, 44, 50 ]
58
[ "52-50=2", "44*2=88", "88-30=58" ]
Current State: 58:[30, 52, 44, 50], Operations: [] Exploring Operation: 52-50=2, Resulting Numbers: [30, 44, 2] Generated Node #2: [30, 44, 2] from Operation: 52-50=2 Current State: 58:[30, 44, 2], Operations: ['52-50=2'] Exploring Operation: 44*2=88, Resulting Numbers: [30, 88] Generated Node #3: [30, 88] from Operation: 44*2=88 Current State: 58:[30, 88], Operations: ['52-50=2', '44*2=88'] Exploring Operation: 88-30=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 57, 5, 66, 55 ]
41
[ "57-5=52", "66-55=11", "52-11=41" ]
Current State: 41:[57, 5, 66, 55], Operations: [] Exploring Operation: 57-5=52, Resulting Numbers: [66, 55, 52] Generated Node #2: [66, 55, 52] from Operation: 57-5=52 Current State: 41:[66, 55, 52], Operations: ['57-5=52'] Exploring Operation: 66-55=11, Resulting Numbers: [52, 11] Generated Node #3: [52, 11] from Operation: 66-55=11 Current State: 41:[52, 11], Operations: ['57-5=52', '66-55=11'] Exploring Operation: 52-11=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 83, 21, 69, 8 ]
43
[ "83+21=104", "69-8=61", "104-61=43" ]
Current State: 43:[83, 21, 69, 8], Operations: [] Exploring Operation: 83+21=104, Resulting Numbers: [69, 8, 104] Generated Node #2: [69, 8, 104] from Operation: 83+21=104 Current State: 43:[69, 8, 104], Operations: ['83+21=104'] Exploring Operation: 69-8=61, Resulting Numbers: [104, 61] Generated Node #3: [104, 61] from Operation: 69-8=61 Current State: 43:[104, 61], Operations: ['83+21=104', '69-8=61'] Exploring Operation: 104-61=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 84, 1, 80, 82 ]
40
[ "84*1=84", "84-82=2", "80/2=40" ]
Current State: 40:[84, 1, 80, 82], Operations: [] Exploring Operation: 84*1=84, Resulting Numbers: [80, 82, 84] Generated Node #2: [80, 82, 84] from Operation: 84*1=84 Current State: 40:[80, 82, 84], Operations: ['84*1=84'] Exploring Operation: 84-82=2, Resulting Numbers: [80, 2] Generated Node #3: [80, 2] from Operation: 84-82=2 Current State: 40:[80, 2], Operations: ['84*1=84', '84-82=2'] Exploring Operation: 80/2=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 40, 4, 86, 89 ]
13
[ "40/4=10", "89-86=3", "10+3=13" ]
Current State: 13:[40, 4, 86, 89], Operations: [] Exploring Operation: 40/4=10, Resulting Numbers: [86, 89, 10] Generated Node #2: [86, 89, 10] from Operation: 40/4=10 Current State: 13:[86, 89, 10], Operations: ['40/4=10'] Exploring Operation: 89-86=3, Resulting Numbers: [10, 3] Generated Node #3: [10, 3] from Operation: 89-86=3 Current State: 13:[10, 3], Operations: ['40/4=10', '89-86=3'] Exploring Operation: 10+3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 36, 82, 3, 75 ]
71
[ "82-36=46", "75/3=25", "46+25=71" ]
Current State: 71:[36, 82, 3, 75], Operations: [] Exploring Operation: 82-36=46, Resulting Numbers: [3, 75, 46] Generated Node #2: [3, 75, 46] from Operation: 82-36=46 Current State: 71:[3, 75, 46], Operations: ['82-36=46'] Exploring Operation: 75/3=25, Resulting Numbers: [46, 25] Generated Node #3: [46, 25] from Operation: 75/3=25 Current State: 71:[46, 25], Operations: ['82-36=46', '75/3=25'] Exploring Operation: 46+25=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 56, 33, 18, 19 ]
22
[ "56-33=23", "19-18=1", "23-1=22" ]
Current State: 22:[56, 33, 18, 19], Operations: [] Exploring Operation: 56-33=23, Resulting Numbers: [18, 19, 23] Generated Node #2: [18, 19, 23] from Operation: 56-33=23 Current State: 22:[18, 19, 23], Operations: ['56-33=23'] Exploring Operation: 19-18=1, Resulting Numbers: [23, 1] Generated Node #3: [23, 1] from Operation: 19-18=1 Current State: 22:[23, 1], Operations: ['56-33=23', '19-18=1'] Exploring Operation: 23-1=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 45, 85, 90, 34 ]
84
[ "85-45=40", "90+34=124", "124-40=84" ]
Current State: 84:[45, 85, 90, 34], Operations: [] Exploring Operation: 85-45=40, Resulting Numbers: [90, 34, 40] Generated Node #2: [90, 34, 40] from Operation: 85-45=40 Current State: 84:[90, 34, 40], Operations: ['85-45=40'] Exploring Operation: 90+34=124, Resulting Numbers: [40, 124] Generated Node #3: [40, 124] from Operation: 90+34=124 Current State: 84:[40, 124], Operations: ['85-45=40', '90+34=124'] Exploring Operation: 124-40=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 76, 82, 43, 15 ]
47
[ "82-76=6", "15*6=90", "90-43=47" ]
Current State: 47:[76, 82, 43, 15], Operations: [] Exploring Operation: 82-76=6, Resulting Numbers: [43, 15, 6] Generated Node #2: [43, 15, 6] from Operation: 82-76=6 Current State: 47:[43, 15, 6], Operations: ['82-76=6'] Exploring Operation: 15*6=90, Resulting Numbers: [43, 90] Generated Node #3: [43, 90] from Operation: 15*6=90 Current State: 47:[43, 90], Operations: ['82-76=6', '15*6=90'] Exploring Operation: 90-43=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 31, 7, 16, 79 ]
25
[ "31+7=38", "79-16=63", "63-38=25" ]
Current State: 25:[31, 7, 16, 79], Operations: [] Exploring Operation: 31+7=38, Resulting Numbers: [16, 79, 38] Generated Node #2: [16, 79, 38] from Operation: 31+7=38 Current State: 25:[16, 79, 38], Operations: ['31+7=38'] Exploring Operation: 79-16=63, Resulting Numbers: [38, 63] Generated Node #3: [38, 63] from Operation: 79-16=63 Current State: 25:[38, 63], Operations: ['31+7=38', '79-16=63'] Exploring Operation: 63-38=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 92, 60, 44, 17 ]
92
[ "60-44=16", "17-16=1", "92*1=92" ]
Current State: 92:[92, 60, 44, 17], Operations: [] Exploring Operation: 60-44=16, Resulting Numbers: [92, 17, 16] Generated Node #2: [92, 17, 16] from Operation: 60-44=16 Current State: 92:[92, 17, 16], Operations: ['60-44=16'] Exploring Operation: 17-16=1, Resulting Numbers: [92, 1] Generated Node #3: [92, 1] from Operation: 17-16=1 Current State: 92:[92, 1], Operations: ['60-44=16', '17-16=1'] Exploring Operation: 92*1=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 3, 96, 79 ]
81
[ "5*96=480", "480/3=160", "160-79=81" ]
Current State: 81:[5, 3, 96, 79], Operations: [] Exploring Operation: 5*96=480, Resulting Numbers: [3, 79, 480] Generated Node #2: [3, 79, 480] from Operation: 5*96=480 Current State: 81:[3, 79, 480], Operations: ['5*96=480'] Exploring Operation: 480/3=160, Resulting Numbers: [79, 160] Generated Node #3: [79, 160] from Operation: 480/3=160 Current State: 81:[79, 160], Operations: ['5*96=480', '480/3=160'] Exploring Operation: 160-79=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 7, 60, 6, 2 ]
79
[ "7+60=67", "6*2=12", "67+12=79" ]
Current State: 79:[7, 60, 6, 2], Operations: [] Exploring Operation: 7+60=67, Resulting Numbers: [6, 2, 67] Generated Node #2: [6, 2, 67] from Operation: 7+60=67 Current State: 79:[6, 2, 67], Operations: ['7+60=67'] Exploring Operation: 6*2=12, Resulting Numbers: [67, 12] Generated Node #3: [67, 12] from Operation: 6*2=12 Current State: 79:[67, 12], Operations: ['7+60=67', '6*2=12'] Exploring Operation: 67+12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 13, 77, 14, 27 ]
34
[ "77+14=91", "91/13=7", "27+7=34" ]
Current State: 34:[13, 77, 14, 27], Operations: [] Exploring Operation: 77+14=91, Resulting Numbers: [13, 27, 91] Generated Node #2: [13, 27, 91] from Operation: 77+14=91 Current State: 34:[13, 27, 91], Operations: ['77+14=91'] Exploring Operation: 91/13=7, Resulting Numbers: [27, 7] Generated Node #3: [27, 7] from Operation: 91/13=7 Current State: 34:[27, 7], Operations: ['77+14=91', '91/13=7'] Exploring Operation: 27+7=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 8, 84, 72, 41 ]
52
[ "72/8=9", "84-41=43", "9+43=52" ]
Current State: 52:[8, 84, 72, 41], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [84, 41, 9] Generated Node #2: [84, 41, 9] from Operation: 72/8=9 Current State: 52:[84, 41, 9], Operations: ['72/8=9'] Exploring Operation: 84-41=43, Resulting Numbers: [9, 43] Generated Node #3: [9, 43] from Operation: 84-41=43 Current State: 52:[9, 43], Operations: ['72/8=9', '84-41=43'] Exploring Operation: 9+43=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 20, 13, 19, 86 ]
34
[ "20+13=33", "86-19=67", "67-33=34" ]
Current State: 34:[20, 13, 19, 86], Operations: [] Exploring Operation: 20+13=33, Resulting Numbers: [19, 86, 33] Generated Node #2: [19, 86, 33] from Operation: 20+13=33 Current State: 34:[19, 86, 33], Operations: ['20+13=33'] Exploring Operation: 86-19=67, Resulting Numbers: [33, 67] Generated Node #3: [33, 67] from Operation: 86-19=67 Current State: 34:[33, 67], Operations: ['20+13=33', '86-19=67'] Exploring Operation: 67-33=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 53, 46, 21, 71 ]
29
[ "21*71=1491", "46+1491=1537", "1537/53=29" ]
Current State: 29:[53, 46, 21, 71], Operations: [] Exploring Operation: 21*71=1491, Resulting Numbers: [53, 46, 1491] Generated Node #2: [53, 46, 1491] from Operation: 21*71=1491 Current State: 29:[53, 46, 1491], Operations: ['21*71=1491'] Exploring Operation: 46+1491=1537, Resulting Numbers: [53, 1537] Generated Node #3: [53, 1537] from Operation: 46+1491=1537 Current State: 29:[53, 1537], Operations: ['21*71=1491', '46+1491=1537'] Exploring Operation: 1537/53=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4