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
[ 62, 30, 19, 6 ]
33
[ "30*19=570", "570/6=95", "95-62=33" ]
Current State: 33:[62, 30, 19, 6], Operations: [] Exploring Operation: 30*19=570, Resulting Numbers: [62, 6, 570] Generated Node #2: [62, 6, 570] from Operation: 30*19=570 Current State: 33:[62, 6, 570], Operations: ['30*19=570'] Exploring Operation: 570/6=95, Resulting Numbers: [62, 95] Generated Node #3: [62, 95] from Operation: 570/6=95 Current State: 33:[62, 95], Operations: ['30*19=570', '570/6=95'] Exploring Operation: 95-62=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 44, 3, 73, 13 ]
12
[ "44+73=117", "117/13=9", "3+9=12" ]
Current State: 12:[44, 3, 73, 13], Operations: [] Exploring Operation: 44+73=117, Resulting Numbers: [3, 13, 117] Generated Node #2: [3, 13, 117] from Operation: 44+73=117 Current State: 12:[3, 13, 117], Operations: ['44+73=117'] Exploring Operation: 117/13=9, Resulting Numbers: [3, 9] Generated Node #3: [3, 9] from Operation: 117/13=9 Current State: 12:[3, 9], Operations: ['44+73=117', '117/13=9'] Exploring Operation: 3+9=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 22, 44, 4, 76 ]
32
[ "22*4=88", "44+76=120", "120-88=32" ]
Current State: 32:[22, 44, 4, 76], Operations: [] Exploring Operation: 22*4=88, Resulting Numbers: [44, 76, 88] Generated Node #2: [44, 76, 88] from Operation: 22*4=88 Current State: 32:[44, 76, 88], Operations: ['22*4=88'] Exploring Operation: 44+76=120, Resulting Numbers: [88, 120] Generated Node #3: [88, 120] from Operation: 44+76=120 Current State: 32:[88, 120], Operations: ['22*4=88', '44+76=120'] Exploring Operation: 120-88=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 2, 2, 94, 45 ]
91
[ "94-2=92", "92/2=46", "45+46=91" ]
Current State: 91:[2, 2, 94, 45], Operations: [] Exploring Operation: 94-2=92, Resulting Numbers: [45, 92] Generated Node #2: [45, 92] from Operation: 94-2=92 Current State: 91:[45, 92], Operations: ['94-2=92'] Exploring Operation: 92/2=46, Resulting Numbers: [45, 46] Generated Node #3: [45, 46] from Operation: 92/2=46 Current State: 91:[45, 46], Operations: ['94-2=92', '92/2=46'] Exploring Operation: 45+46=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 61, 93, 62, 3 ]
30
[ "62-61=1", "93/3=31", "31-1=30" ]
Current State: 30:[61, 93, 62, 3], Operations: [] Exploring Operation: 62-61=1, Resulting Numbers: [93, 3, 1] Generated Node #2: [93, 3, 1] from Operation: 62-61=1 Current State: 30:[93, 3, 1], Operations: ['62-61=1'] Exploring Operation: 93/3=31, Resulting Numbers: [1, 31] Generated Node #3: [1, 31] from Operation: 93/3=31 Current State: 30:[1, 31], Operations: ['62-61=1', '93/3=31'] Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 6, 9, 43 ]
51
[ "9-6=3", "24/3=8", "43+8=51" ]
Current State: 51:[24, 6, 9, 43], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [24, 43, 3] Generated Node #2: [24, 43, 3] from Operation: 9-6=3 Current State: 51:[24, 43, 3], Operations: ['9-6=3'] Exploring Operation: 24/3=8, Resulting Numbers: [43, 8] Generated Node #3: [43, 8] from Operation: 24/3=8 Current State: 51:[43, 8], Operations: ['9-6=3', '24/3=8'] Exploring Operation: 43+8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 69, 1, 47, 78 ]
99
[ "69-1=68", "78-47=31", "68+31=99" ]
Current State: 99:[69, 1, 47, 78], Operations: [] Exploring Operation: 69-1=68, Resulting Numbers: [47, 78, 68] Generated Node #2: [47, 78, 68] from Operation: 69-1=68 Current State: 99:[47, 78, 68], Operations: ['69-1=68'] Exploring Operation: 78-47=31, Resulting Numbers: [68, 31] Generated Node #3: [68, 31] from Operation: 78-47=31 Current State: 99:[68, 31], Operations: ['69-1=68', '78-47=31'] Exploring Operation: 68+31=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 71, 98, 39, 54 ]
42
[ "98-71=27", "54-39=15", "27+15=42" ]
Current State: 42:[71, 98, 39, 54], Operations: [] Exploring Operation: 98-71=27, Resulting Numbers: [39, 54, 27] Generated Node #2: [39, 54, 27] from Operation: 98-71=27 Current State: 42:[39, 54, 27], Operations: ['98-71=27'] Exploring Operation: 54-39=15, Resulting Numbers: [27, 15] Generated Node #3: [27, 15] from Operation: 54-39=15 Current State: 42:[27, 15], Operations: ['98-71=27', '54-39=15'] Exploring Operation: 27+15=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 90, 21, 87, 2 ]
57
[ "90-87=3", "21-2=19", "3*19=57" ]
Current State: 57:[90, 21, 87, 2], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [21, 2, 3] Generated Node #2: [21, 2, 3] from Operation: 90-87=3 Current State: 57:[21, 2, 3], Operations: ['90-87=3'] Exploring Operation: 21-2=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 21-2=19 Current State: 57:[3, 19], Operations: ['90-87=3', '21-2=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 43, 20, 58, 19 ]
80
[ "58-43=15", "19-15=4", "20*4=80" ]
Current State: 80:[43, 20, 58, 19], Operations: [] Exploring Operation: 58-43=15, Resulting Numbers: [20, 19, 15] Generated Node #2: [20, 19, 15] from Operation: 58-43=15 Current State: 80:[20, 19, 15], Operations: ['58-43=15'] Exploring Operation: 19-15=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 19-15=4 Current State: 80:[20, 4], Operations: ['58-43=15', '19-15=4'] Exploring Operation: 20*4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 63, 41, 44, 89 ]
91
[ "63-41=22", "44/22=2", "89+2=91" ]
Current State: 91:[63, 41, 44, 89], Operations: [] Exploring Operation: 63-41=22, Resulting Numbers: [44, 89, 22] Generated Node #2: [44, 89, 22] from Operation: 63-41=22 Current State: 91:[44, 89, 22], Operations: ['63-41=22'] Exploring Operation: 44/22=2, Resulting Numbers: [89, 2] Generated Node #3: [89, 2] from Operation: 44/22=2 Current State: 91:[89, 2], Operations: ['63-41=22', '44/22=2'] Exploring Operation: 89+2=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 91, 37, 1, 30 ]
85
[ "91-37=54", "1+30=31", "54+31=85" ]
Current State: 85:[91, 37, 1, 30], Operations: [] Exploring Operation: 91-37=54, Resulting Numbers: [1, 30, 54] Generated Node #2: [1, 30, 54] from Operation: 91-37=54 Current State: 85:[1, 30, 54], Operations: ['91-37=54'] Exploring Operation: 1+30=31, Resulting Numbers: [54, 31] Generated Node #3: [54, 31] from Operation: 1+30=31 Current State: 85:[54, 31], Operations: ['91-37=54', '1+30=31'] Exploring Operation: 54+31=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 59, 3, 81, 97 ]
79
[ "59+81=140", "97+140=237", "237/3=79" ]
Current State: 79:[59, 3, 81, 97], Operations: [] Exploring Operation: 59+81=140, Resulting Numbers: [3, 97, 140] Generated Node #2: [3, 97, 140] from Operation: 59+81=140 Current State: 79:[3, 97, 140], Operations: ['59+81=140'] Exploring Operation: 97+140=237, Resulting Numbers: [3, 237] Generated Node #3: [3, 237] from Operation: 97+140=237 Current State: 79:[3, 237], Operations: ['59+81=140', '97+140=237'] Exploring Operation: 237/3=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 16, 32, 2, 7 ]
73
[ "16-7=9", "32*2=64", "9+64=73" ]
Current State: 73:[16, 32, 2, 7], Operations: [] Exploring Operation: 16-7=9, Resulting Numbers: [32, 2, 9] Generated Node #2: [32, 2, 9] from Operation: 16-7=9 Current State: 73:[32, 2, 9], Operations: ['16-7=9'] Exploring Operation: 32*2=64, Resulting Numbers: [9, 64] Generated Node #3: [9, 64] from Operation: 32*2=64 Current State: 73:[9, 64], Operations: ['16-7=9', '32*2=64'] Exploring Operation: 9+64=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 79, 91, 20, 88 ]
89
[ "88-79=9", "20*9=180", "180-91=89" ]
Current State: 89:[79, 91, 20, 88], Operations: [] Exploring Operation: 88-79=9, Resulting Numbers: [91, 20, 9] Generated Node #2: [91, 20, 9] from Operation: 88-79=9 Current State: 89:[91, 20, 9], Operations: ['88-79=9'] Exploring Operation: 20*9=180, Resulting Numbers: [91, 180] Generated Node #3: [91, 180] from Operation: 20*9=180 Current State: 89:[91, 180], Operations: ['88-79=9', '20*9=180'] Exploring Operation: 180-91=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 38, 11, 17, 85 ]
75
[ "38-11=27", "17+85=102", "102-27=75" ]
Current State: 75:[38, 11, 17, 85], Operations: [] Exploring Operation: 38-11=27, Resulting Numbers: [17, 85, 27] Generated Node #2: [17, 85, 27] from Operation: 38-11=27 Current State: 75:[17, 85, 27], Operations: ['38-11=27'] Exploring Operation: 17+85=102, Resulting Numbers: [27, 102] Generated Node #3: [27, 102] from Operation: 17+85=102 Current State: 75:[27, 102], Operations: ['38-11=27', '17+85=102'] Exploring Operation: 102-27=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 95, 44, 12, 98 ]
59
[ "95-44=51", "12+98=110", "110-51=59" ]
Current State: 59:[95, 44, 12, 98], Operations: [] Exploring Operation: 95-44=51, Resulting Numbers: [12, 98, 51] Generated Node #2: [12, 98, 51] from Operation: 95-44=51 Current State: 59:[12, 98, 51], Operations: ['95-44=51'] Exploring Operation: 12+98=110, Resulting Numbers: [51, 110] Generated Node #3: [51, 110] from Operation: 12+98=110 Current State: 59:[51, 110], Operations: ['95-44=51', '12+98=110'] Exploring Operation: 110-51=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 7, 87, 70, 2 ]
30
[ "87-7=80", "80/2=40", "70-40=30" ]
Current State: 30:[7, 87, 70, 2], Operations: [] Exploring Operation: 87-7=80, Resulting Numbers: [70, 2, 80] Generated Node #2: [70, 2, 80] from Operation: 87-7=80 Current State: 30:[70, 2, 80], Operations: ['87-7=80'] Exploring Operation: 80/2=40, Resulting Numbers: [70, 40] Generated Node #3: [70, 40] from Operation: 80/2=40 Current State: 30:[70, 40], Operations: ['87-7=80', '80/2=40'] Exploring Operation: 70-40=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 60, 51, 21, 37 ]
87
[ "51*37=1887", "1887-60=1827", "1827/21=87" ]
Current State: 87:[60, 51, 21, 37], Operations: [] Exploring Operation: 51*37=1887, Resulting Numbers: [60, 21, 1887] Generated Node #2: [60, 21, 1887] from Operation: 51*37=1887 Current State: 87:[60, 21, 1887], Operations: ['51*37=1887'] Exploring Operation: 1887-60=1827, Resulting Numbers: [21, 1827] Generated Node #3: [21, 1827] from Operation: 1887-60=1827 Current State: 87:[21, 1827], Operations: ['51*37=1887', '1887-60=1827'] Exploring Operation: 1827/21=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 8, 65, 89, 41 ]
73
[ "65-8=57", "89+41=130", "130-57=73" ]
Current State: 73:[8, 65, 89, 41], Operations: [] Exploring Operation: 65-8=57, Resulting Numbers: [89, 41, 57] Generated Node #2: [89, 41, 57] from Operation: 65-8=57 Current State: 73:[89, 41, 57], Operations: ['65-8=57'] Exploring Operation: 89+41=130, Resulting Numbers: [57, 130] Generated Node #3: [57, 130] from Operation: 89+41=130 Current State: 73:[57, 130], Operations: ['65-8=57', '89+41=130'] Exploring Operation: 130-57=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 44, 17, 28, 97 ]
64
[ "44+17=61", "28+97=125", "125-61=64" ]
Current State: 64:[44, 17, 28, 97], Operations: [] Exploring Operation: 44+17=61, Resulting Numbers: [28, 97, 61] Generated Node #2: [28, 97, 61] from Operation: 44+17=61 Current State: 64:[28, 97, 61], Operations: ['44+17=61'] Exploring Operation: 28+97=125, Resulting Numbers: [61, 125] Generated Node #3: [61, 125] from Operation: 28+97=125 Current State: 64:[61, 125], Operations: ['44+17=61', '28+97=125'] Exploring Operation: 125-61=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 44, 40, 13, 24 ]
76
[ "44-40=4", "13*4=52", "24+52=76" ]
Current State: 76:[44, 40, 13, 24], Operations: [] Exploring Operation: 44-40=4, Resulting Numbers: [13, 24, 4] Generated Node #2: [13, 24, 4] from Operation: 44-40=4 Current State: 76:[13, 24, 4], Operations: ['44-40=4'] Exploring Operation: 13*4=52, Resulting Numbers: [24, 52] Generated Node #3: [24, 52] from Operation: 13*4=52 Current State: 76:[24, 52], Operations: ['44-40=4', '13*4=52'] Exploring Operation: 24+52=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 24, 7, 58 ]
70
[ "9-7=2", "24/2=12", "58+12=70" ]
Current State: 70:[9, 24, 7, 58], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [24, 58, 2] Generated Node #2: [24, 58, 2] from Operation: 9-7=2 Current State: 70:[24, 58, 2], Operations: ['9-7=2'] Exploring Operation: 24/2=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 24/2=12 Current State: 70:[58, 12], Operations: ['9-7=2', '24/2=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 47, 53, 38 ]
91
[ "47-46=1", "53+38=91", "1*91=91" ]
Current State: 91:[46, 47, 53, 38], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [53, 38, 1] Generated Node #2: [53, 38, 1] from Operation: 47-46=1 Current State: 91:[53, 38, 1], Operations: ['47-46=1'] Exploring Operation: 53+38=91, Resulting Numbers: [1, 91] Generated Node #3: [1, 91] from Operation: 53+38=91 Current State: 91:[1, 91], Operations: ['47-46=1', '53+38=91'] Exploring Operation: 1*91=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 41, 6, 49, 79 ]
31
[ "49-41=8", "6*8=48", "79-48=31" ]
Current State: 31:[41, 6, 49, 79], Operations: [] Exploring Operation: 49-41=8, Resulting Numbers: [6, 79, 8] Generated Node #2: [6, 79, 8] from Operation: 49-41=8 Current State: 31:[6, 79, 8], Operations: ['49-41=8'] Exploring Operation: 6*8=48, Resulting Numbers: [79, 48] Generated Node #3: [79, 48] from Operation: 6*8=48 Current State: 31:[79, 48], Operations: ['49-41=8', '6*8=48'] Exploring Operation: 79-48=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 40, 76, 37 ]
48
[ "68+76=144", "40-37=3", "144/3=48" ]
Current State: 48:[68, 40, 76, 37], Operations: [] Exploring Operation: 68+76=144, Resulting Numbers: [40, 37, 144] Generated Node #2: [40, 37, 144] from Operation: 68+76=144 Current State: 48:[40, 37, 144], Operations: ['68+76=144'] Exploring Operation: 40-37=3, Resulting Numbers: [144, 3] Generated Node #3: [144, 3] from Operation: 40-37=3 Current State: 48:[144, 3], Operations: ['68+76=144', '40-37=3'] Exploring Operation: 144/3=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 64, 57, 18, 59 ]
44
[ "64+57=121", "18+59=77", "121-77=44" ]
Current State: 44:[64, 57, 18, 59], Operations: [] Exploring Operation: 64+57=121, Resulting Numbers: [18, 59, 121] Generated Node #2: [18, 59, 121] from Operation: 64+57=121 Current State: 44:[18, 59, 121], Operations: ['64+57=121'] Exploring Operation: 18+59=77, Resulting Numbers: [121, 77] Generated Node #3: [121, 77] from Operation: 18+59=77 Current State: 44:[121, 77], Operations: ['64+57=121', '18+59=77'] Exploring Operation: 121-77=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 96, 78, 14, 14 ]
56
[ "96-78=18", "18-14=4", "14*4=56" ]
Current State: 56:[96, 78, 14, 14], Operations: [] Exploring Operation: 96-78=18, Resulting Numbers: [14, 14, 18] Generated Node #2: [14, 14, 18] from Operation: 96-78=18 Current State: 56:[14, 14, 18], Operations: ['96-78=18'] Exploring Operation: 18-14=4, Resulting Numbers: [4] 4,56 equal: Goal Reached Exploring Operation: 14*4=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 4, 3, 44, 32 ]
32
[ "4+32=36", "36/3=12", "44-12=32" ]
Current State: 32:[4, 3, 44, 32], Operations: [] Exploring Operation: 4+32=36, Resulting Numbers: [3, 44, 36] Generated Node #2: [3, 44, 36] from Operation: 4+32=36 Current State: 32:[3, 44, 36], Operations: ['4+32=36'] Exploring Operation: 36/3=12, Resulting Numbers: [44, 12] Generated Node #3: [44, 12] from Operation: 36/3=12 Current State: 32:[44, 12], Operations: ['4+32=36', '36/3=12'] Exploring Operation: 44-12=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 30, 89, 32, 3 ]
11
[ "89-32=57", "57/3=19", "30-19=11" ]
Current State: 11:[30, 89, 32, 3], Operations: [] Exploring Operation: 89-32=57, Resulting Numbers: [30, 3, 57] Generated Node #2: [30, 3, 57] from Operation: 89-32=57 Current State: 11:[30, 3, 57], Operations: ['89-32=57'] Exploring Operation: 57/3=19, Resulting Numbers: [30, 19] Generated Node #3: [30, 19] from Operation: 57/3=19 Current State: 11:[30, 19], Operations: ['89-32=57', '57/3=19'] Exploring Operation: 30-19=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 25, 56, 87, 61 ]
59
[ "25+87=112", "112/56=2", "61-2=59" ]
Current State: 59:[25, 56, 87, 61], Operations: [] Exploring Operation: 25+87=112, Resulting Numbers: [56, 61, 112] Generated Node #2: [56, 61, 112] from Operation: 25+87=112 Current State: 59:[56, 61, 112], Operations: ['25+87=112'] Exploring Operation: 112/56=2, Resulting Numbers: [61, 2] Generated Node #3: [61, 2] from Operation: 112/56=2 Current State: 59:[61, 2], Operations: ['25+87=112', '112/56=2'] Exploring Operation: 61-2=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 36, 10, 14, 9 ]
35
[ "36/9=4", "10*14=140", "140/4=35" ]
Current State: 35:[36, 10, 14, 9], Operations: [] Exploring Operation: 36/9=4, Resulting Numbers: [10, 14, 4] Generated Node #2: [10, 14, 4] from Operation: 36/9=4 Current State: 35:[10, 14, 4], Operations: ['36/9=4'] Exploring Operation: 10*14=140, Resulting Numbers: [4, 140] Generated Node #3: [4, 140] from Operation: 10*14=140 Current State: 35:[4, 140], Operations: ['36/9=4', '10*14=140'] Exploring Operation: 140/4=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 4, 88, 84, 18 ]
19
[ "88-4=84", "84/84=1", "18+1=19" ]
Current State: 19:[4, 88, 84, 18], Operations: [] Exploring Operation: 88-4=84, Resulting Numbers: [84, 18, 84] Generated Node #2: [84, 18, 84] from Operation: 88-4=84 Current State: 19:[84, 18, 84], Operations: ['88-4=84'] Exploring Operation: 84/84=1, Resulting Numbers: [18, 1] Generated Node #3: [18, 1] from Operation: 84/84=1 Current State: 19:[18, 1], Operations: ['88-4=84', '84/84=1'] Exploring Operation: 18+1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 84, 50, 6, 54 ]
36
[ "50+6=56", "54*56=3024", "3024/84=36" ]
Current State: 36:[84, 50, 6, 54], Operations: [] Exploring Operation: 50+6=56, Resulting Numbers: [84, 54, 56] Generated Node #2: [84, 54, 56] from Operation: 50+6=56 Current State: 36:[84, 54, 56], Operations: ['50+6=56'] Exploring Operation: 54*56=3024, Resulting Numbers: [84, 3024] Generated Node #3: [84, 3024] from Operation: 54*56=3024 Current State: 36:[84, 3024], Operations: ['50+6=56', '54*56=3024'] Exploring Operation: 3024/84=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 29, 87, 27, 75 ]
52
[ "87/29=3", "75/3=25", "27+25=52" ]
Current State: 52:[29, 87, 27, 75], Operations: [] Exploring Operation: 87/29=3, Resulting Numbers: [27, 75, 3] Generated Node #2: [27, 75, 3] from Operation: 87/29=3 Current State: 52:[27, 75, 3], Operations: ['87/29=3'] Exploring Operation: 75/3=25, Resulting Numbers: [27, 25] Generated Node #3: [27, 25] from Operation: 75/3=25 Current State: 52:[27, 25], Operations: ['87/29=3', '75/3=25'] Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 35, 22, 55, 2 ]
24
[ "55-35=20", "22*2=44", "44-20=24" ]
Current State: 24:[35, 22, 55, 2], Operations: [] Exploring Operation: 55-35=20, Resulting Numbers: [22, 2, 20] Generated Node #2: [22, 2, 20] from Operation: 55-35=20 Current State: 24:[22, 2, 20], Operations: ['55-35=20'] Exploring Operation: 22*2=44, Resulting Numbers: [20, 44] Generated Node #3: [20, 44] from Operation: 22*2=44 Current State: 24:[20, 44], Operations: ['55-35=20', '22*2=44'] Exploring Operation: 44-20=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 58, 41, 24, 13 ]
96
[ "58-41=17", "17-13=4", "24*4=96" ]
Current State: 96:[58, 41, 24, 13], Operations: [] Exploring Operation: 58-41=17, Resulting Numbers: [24, 13, 17] Generated Node #2: [24, 13, 17] from Operation: 58-41=17 Current State: 96:[24, 13, 17], Operations: ['58-41=17'] Exploring Operation: 17-13=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 17-13=4 Current State: 96:[24, 4], Operations: ['58-41=17', '17-13=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 19, 44, 85, 99 ]
66
[ "85-19=66", "44*99=4356", "4356/66=66" ]
Current State: 66:[19, 44, 85, 99], Operations: [] Exploring Operation: 85-19=66, Resulting Numbers: [44, 99, 66] Generated Node #2: [44, 99, 66] from Operation: 85-19=66 Current State: 66:[44, 99, 66], Operations: ['85-19=66'] Exploring Operation: 44*99=4356, Resulting Numbers: [66, 4356] Generated Node #3: [66, 4356] from Operation: 44*99=4356 Current State: 66:[66, 4356], Operations: ['85-19=66', '44*99=4356'] Exploring Operation: 4356/66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 18, 64, 10, 86 ]
94
[ "18-10=8", "64/8=8", "86+8=94" ]
Current State: 94:[18, 64, 10, 86], Operations: [] Exploring Operation: 18-10=8, Resulting Numbers: [64, 86, 8] Generated Node #2: [64, 86, 8] from Operation: 18-10=8 Current State: 94:[64, 86, 8], Operations: ['18-10=8'] Exploring Operation: 64/8=8, Resulting Numbers: [86, 8] Generated Node #3: [86, 8] from Operation: 64/8=8 Current State: 94:[86, 8], Operations: ['18-10=8', '64/8=8'] Exploring Operation: 86+8=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 76, 38, 15, 2 ]
25
[ "76-38=38", "15-2=13", "38-13=25" ]
Current State: 25:[76, 38, 15, 2], Operations: [] Exploring Operation: 76-38=38, Resulting Numbers: [15, 2, 38] Generated Node #2: [15, 2, 38] from Operation: 76-38=38 Current State: 25:[15, 2, 38], Operations: ['76-38=38'] Exploring Operation: 15-2=13, Resulting Numbers: [38, 13] Generated Node #3: [38, 13] from Operation: 15-2=13 Current State: 25:[38, 13], Operations: ['76-38=38', '15-2=13'] Exploring Operation: 38-13=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 68, 75, 87, 50 ]
10
[ "87*50=4350", "4350/75=58", "68-58=10" ]
Current State: 10:[68, 75, 87, 50], Operations: [] Exploring Operation: 87*50=4350, Resulting Numbers: [68, 75, 4350] Generated Node #2: [68, 75, 4350] from Operation: 87*50=4350 Current State: 10:[68, 75, 4350], Operations: ['87*50=4350'] Exploring Operation: 4350/75=58, Resulting Numbers: [68, 58] Generated Node #3: [68, 58] from Operation: 4350/75=58 Current State: 10:[68, 58], Operations: ['87*50=4350', '4350/75=58'] Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 64, 36, 51, 94 ]
71
[ "64-36=28", "94-51=43", "28+43=71" ]
Current State: 71:[64, 36, 51, 94], Operations: [] Exploring Operation: 64-36=28, Resulting Numbers: [51, 94, 28] Generated Node #2: [51, 94, 28] from Operation: 64-36=28 Current State: 71:[51, 94, 28], Operations: ['64-36=28'] Exploring Operation: 94-51=43, Resulting Numbers: [28, 43] Generated Node #3: [28, 43] from Operation: 94-51=43 Current State: 71:[28, 43], Operations: ['64-36=28', '94-51=43'] Exploring Operation: 28+43=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 6, 57, 45, 39 ]
41
[ "57-45=12", "12/6=2", "39+2=41" ]
Current State: 41:[6, 57, 45, 39], Operations: [] Exploring Operation: 57-45=12, Resulting Numbers: [6, 39, 12] Generated Node #2: [6, 39, 12] from Operation: 57-45=12 Current State: 41:[6, 39, 12], Operations: ['57-45=12'] Exploring Operation: 12/6=2, Resulting Numbers: [39, 2] Generated Node #3: [39, 2] from Operation: 12/6=2 Current State: 41:[39, 2], Operations: ['57-45=12', '12/6=2'] Exploring Operation: 39+2=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 31, 56, 66, 59 ]
27
[ "59-56=3", "31*3=93", "93-66=27" ]
Current State: 27:[31, 56, 66, 59], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [31, 66, 3] Generated Node #2: [31, 66, 3] from Operation: 59-56=3 Current State: 27:[31, 66, 3], Operations: ['59-56=3'] Exploring Operation: 31*3=93, Resulting Numbers: [66, 93] Generated Node #3: [66, 93] from Operation: 31*3=93 Current State: 27:[66, 93], Operations: ['59-56=3', '31*3=93'] Exploring Operation: 93-66=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 68, 94, 87, 15 ]
90
[ "68+94=162", "87-15=72", "162-72=90" ]
Current State: 90:[68, 94, 87, 15], Operations: [] Exploring Operation: 68+94=162, Resulting Numbers: [87, 15, 162] Generated Node #2: [87, 15, 162] from Operation: 68+94=162 Current State: 90:[87, 15, 162], Operations: ['68+94=162'] Exploring Operation: 87-15=72, Resulting Numbers: [162, 72] Generated Node #3: [162, 72] from Operation: 87-15=72 Current State: 90:[162, 72], Operations: ['68+94=162', '87-15=72'] Exploring Operation: 162-72=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 47, 68, 54, 42 ]
70
[ "47-42=5", "68-54=14", "5*14=70" ]
Current State: 70:[47, 68, 54, 42], Operations: [] Exploring Operation: 47-42=5, Resulting Numbers: [68, 54, 5] Generated Node #2: [68, 54, 5] from Operation: 47-42=5 Current State: 70:[68, 54, 5], Operations: ['47-42=5'] Exploring Operation: 68-54=14, Resulting Numbers: [5, 14] Generated Node #3: [5, 14] from Operation: 68-54=14 Current State: 70:[5, 14], Operations: ['47-42=5', '68-54=14'] Exploring Operation: 5*14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 36, 81, 77, 19 ]
68
[ "36-19=17", "81-77=4", "17*4=68" ]
Current State: 68:[36, 81, 77, 19], Operations: [] Exploring Operation: 36-19=17, Resulting Numbers: [81, 77, 17] Generated Node #2: [81, 77, 17] from Operation: 36-19=17 Current State: 68:[81, 77, 17], Operations: ['36-19=17'] Exploring Operation: 81-77=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 81-77=4 Current State: 68:[17, 4], Operations: ['36-19=17', '81-77=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 35, 73, 52, 32 ]
24
[ "35+73=108", "52+32=84", "108-84=24" ]
Current State: 24:[35, 73, 52, 32], Operations: [] Exploring Operation: 35+73=108, Resulting Numbers: [52, 32, 108] Generated Node #2: [52, 32, 108] from Operation: 35+73=108 Current State: 24:[52, 32, 108], Operations: ['35+73=108'] Exploring Operation: 52+32=84, Resulting Numbers: [108, 84] Generated Node #3: [108, 84] from Operation: 52+32=84 Current State: 24:[108, 84], Operations: ['35+73=108', '52+32=84'] Exploring Operation: 108-84=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 13, 16, 86, 68 ]
11
[ "13+16=29", "86-68=18", "29-18=11" ]
Current State: 11:[13, 16, 86, 68], Operations: [] Exploring Operation: 13+16=29, Resulting Numbers: [86, 68, 29] Generated Node #2: [86, 68, 29] from Operation: 13+16=29 Current State: 11:[86, 68, 29], Operations: ['13+16=29'] Exploring Operation: 86-68=18, Resulting Numbers: [29, 18] Generated Node #3: [29, 18] from Operation: 86-68=18 Current State: 11:[29, 18], Operations: ['13+16=29', '86-68=18'] Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 4, 36, 98, 3 ]
55
[ "4+36=40", "98-3=95", "95-40=55" ]
Current State: 55:[4, 36, 98, 3], Operations: [] Exploring Operation: 4+36=40, Resulting Numbers: [98, 3, 40] Generated Node #2: [98, 3, 40] from Operation: 4+36=40 Current State: 55:[98, 3, 40], Operations: ['4+36=40'] Exploring Operation: 98-3=95, Resulting Numbers: [40, 95] Generated Node #3: [40, 95] from Operation: 98-3=95 Current State: 55:[40, 95], Operations: ['4+36=40', '98-3=95'] Exploring Operation: 95-40=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 31, 92, 28, 78 ]
33
[ "92-78=14", "28/14=2", "31+2=33" ]
Current State: 33:[31, 92, 28, 78], Operations: [] Exploring Operation: 92-78=14, Resulting Numbers: [31, 28, 14] Generated Node #2: [31, 28, 14] from Operation: 92-78=14 Current State: 33:[31, 28, 14], Operations: ['92-78=14'] Exploring Operation: 28/14=2, Resulting Numbers: [31, 2] Generated Node #3: [31, 2] from Operation: 28/14=2 Current State: 33:[31, 2], Operations: ['92-78=14', '28/14=2'] Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 90, 68, 7, 51 ]
73
[ "68+51=119", "119/7=17", "90-17=73" ]
Current State: 73:[90, 68, 7, 51], Operations: [] Exploring Operation: 68+51=119, Resulting Numbers: [90, 7, 119] Generated Node #2: [90, 7, 119] from Operation: 68+51=119 Current State: 73:[90, 7, 119], Operations: ['68+51=119'] Exploring Operation: 119/7=17, Resulting Numbers: [90, 17] Generated Node #3: [90, 17] from Operation: 119/7=17 Current State: 73:[90, 17], Operations: ['68+51=119', '119/7=17'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 47, 16, 7, 27 ]
38
[ "47+27=74", "16*7=112", "112-74=38" ]
Current State: 38:[47, 16, 7, 27], Operations: [] Exploring Operation: 47+27=74, Resulting Numbers: [16, 7, 74] Generated Node #2: [16, 7, 74] from Operation: 47+27=74 Current State: 38:[16, 7, 74], Operations: ['47+27=74'] Exploring Operation: 16*7=112, Resulting Numbers: [74, 112] Generated Node #3: [74, 112] from Operation: 16*7=112 Current State: 38:[74, 112], Operations: ['47+27=74', '16*7=112'] Exploring Operation: 112-74=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 46, 85, 92, 15 ]
72
[ "92/46=2", "85-15=70", "2+70=72" ]
Current State: 72:[46, 85, 92, 15], Operations: [] Exploring Operation: 92/46=2, Resulting Numbers: [85, 15, 2] Generated Node #2: [85, 15, 2] from Operation: 92/46=2 Current State: 72:[85, 15, 2], Operations: ['92/46=2'] Exploring Operation: 85-15=70, Resulting Numbers: [2, 70] Generated Node #3: [2, 70] from Operation: 85-15=70 Current State: 72:[2, 70], Operations: ['92/46=2', '85-15=70'] Exploring Operation: 2+70=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 61, 15, 24, 80 ]
75
[ "61+24=85", "85-80=5", "15*5=75" ]
Current State: 75:[61, 15, 24, 80], Operations: [] Exploring Operation: 61+24=85, Resulting Numbers: [15, 80, 85] Generated Node #2: [15, 80, 85] from Operation: 61+24=85 Current State: 75:[15, 80, 85], Operations: ['61+24=85'] Exploring Operation: 85-80=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 85-80=5 Current State: 75:[15, 5], Operations: ['61+24=85', '85-80=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 45, 40, 77, 82 ]
10
[ "45-40=5", "82-77=5", "5+5=10" ]
Current State: 10:[45, 40, 77, 82], Operations: [] Exploring Operation: 45-40=5, Resulting Numbers: [77, 82, 5] Generated Node #2: [77, 82, 5] from Operation: 45-40=5 Current State: 10:[77, 82, 5], Operations: ['45-40=5'] Exploring Operation: 82-77=5, Resulting Numbers: [5, 5] Generated Node #3: [5, 5] from Operation: 82-77=5 Current State: 10:[5, 5], Operations: ['45-40=5', '82-77=5'] Exploring Operation: 5+5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 89, 5, 59, 16 ]
19
[ "89+5=94", "59+16=75", "94-75=19" ]
Current State: 19:[89, 5, 59, 16], Operations: [] Exploring Operation: 89+5=94, Resulting Numbers: [59, 16, 94] Generated Node #2: [59, 16, 94] from Operation: 89+5=94 Current State: 19:[59, 16, 94], Operations: ['89+5=94'] Exploring Operation: 59+16=75, Resulting Numbers: [94, 75] Generated Node #3: [94, 75] from Operation: 59+16=75 Current State: 19:[94, 75], Operations: ['89+5=94', '59+16=75'] Exploring Operation: 94-75=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 37, 50, 75, 8 ]
54
[ "50-37=13", "75-8=67", "67-13=54" ]
Current State: 54:[37, 50, 75, 8], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [75, 8, 13] Generated Node #2: [75, 8, 13] from Operation: 50-37=13 Current State: 54:[75, 8, 13], Operations: ['50-37=13'] Exploring Operation: 75-8=67, Resulting Numbers: [13, 67] Generated Node #3: [13, 67] from Operation: 75-8=67 Current State: 54:[13, 67], Operations: ['50-37=13', '75-8=67'] Exploring Operation: 67-13=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 96, 15, 89, 74 ]
82
[ "96-15=81", "89+74=163", "163-81=82" ]
Current State: 82:[96, 15, 89, 74], Operations: [] Exploring Operation: 96-15=81, Resulting Numbers: [89, 74, 81] Generated Node #2: [89, 74, 81] from Operation: 96-15=81 Current State: 82:[89, 74, 81], Operations: ['96-15=81'] Exploring Operation: 89+74=163, Resulting Numbers: [81, 163] Generated Node #3: [81, 163] from Operation: 89+74=163 Current State: 82:[81, 163], Operations: ['96-15=81', '89+74=163'] Exploring Operation: 163-81=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 94, 69, 45, 3 ]
10
[ "94-69=25", "45/3=15", "25-15=10" ]
Current State: 10:[94, 69, 45, 3], Operations: [] Exploring Operation: 94-69=25, Resulting Numbers: [45, 3, 25] Generated Node #2: [45, 3, 25] from Operation: 94-69=25 Current State: 10:[45, 3, 25], Operations: ['94-69=25'] Exploring Operation: 45/3=15, Resulting Numbers: [25, 15] Generated Node #3: [25, 15] from Operation: 45/3=15 Current State: 10:[25, 15], Operations: ['94-69=25', '45/3=15'] Exploring Operation: 25-15=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 84, 26, 92, 22 ]
81
[ "92-26=66", "66/22=3", "84-3=81" ]
Current State: 81:[84, 26, 92, 22], Operations: [] Exploring Operation: 92-26=66, Resulting Numbers: [84, 22, 66] Generated Node #2: [84, 22, 66] from Operation: 92-26=66 Current State: 81:[84, 22, 66], Operations: ['92-26=66'] Exploring Operation: 66/22=3, Resulting Numbers: [84, 3] Generated Node #3: [84, 3] from Operation: 66/22=3 Current State: 81:[84, 3], Operations: ['92-26=66', '66/22=3'] Exploring Operation: 84-3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 17, 69, 8, 11 ]
40
[ "11-8=3", "69/3=23", "17+23=40" ]
Current State: 40:[17, 69, 8, 11], Operations: [] Exploring Operation: 11-8=3, Resulting Numbers: [17, 69, 3] Generated Node #2: [17, 69, 3] from Operation: 11-8=3 Current State: 40:[17, 69, 3], Operations: ['11-8=3'] Exploring Operation: 69/3=23, Resulting Numbers: [17, 23] Generated Node #3: [17, 23] from Operation: 69/3=23 Current State: 40:[17, 23], Operations: ['11-8=3', '69/3=23'] Exploring Operation: 17+23=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 58, 15, 71, 41 ]
82
[ "58+15=73", "73-71=2", "41*2=82" ]
Current State: 82:[58, 15, 71, 41], Operations: [] Exploring Operation: 58+15=73, Resulting Numbers: [71, 41, 73] Generated Node #2: [71, 41, 73] from Operation: 58+15=73 Current State: 82:[71, 41, 73], Operations: ['58+15=73'] Exploring Operation: 73-71=2, Resulting Numbers: [41, 2] Generated Node #3: [41, 2] from Operation: 73-71=2 Current State: 82:[41, 2], Operations: ['58+15=73', '73-71=2'] Exploring Operation: 41*2=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 10, 40, 26, 32 ]
100
[ "32-26=6", "10*6=60", "40+60=100" ]
Current State: 100:[10, 40, 26, 32], Operations: [] Exploring Operation: 32-26=6, Resulting Numbers: [10, 40, 6] Generated Node #2: [10, 40, 6] from Operation: 32-26=6 Current State: 100:[10, 40, 6], Operations: ['32-26=6'] Exploring Operation: 10*6=60, Resulting Numbers: [40, 60] Generated Node #3: [40, 60] from Operation: 10*6=60 Current State: 100:[40, 60], Operations: ['32-26=6', '10*6=60'] Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 11, 89, 45, 40 ]
95
[ "11+89=100", "45-40=5", "100-5=95" ]
Current State: 95:[11, 89, 45, 40], Operations: [] Exploring Operation: 11+89=100, Resulting Numbers: [45, 40, 100] Generated Node #2: [45, 40, 100] from Operation: 11+89=100 Current State: 95:[45, 40, 100], Operations: ['11+89=100'] Exploring Operation: 45-40=5, Resulting Numbers: [100, 5] Generated Node #3: [100, 5] from Operation: 45-40=5 Current State: 95:[100, 5], Operations: ['11+89=100', '45-40=5'] Exploring Operation: 100-5=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 54, 95, 93, 45 ]
97
[ "95-54=41", "93+45=138", "138-41=97" ]
Current State: 97:[54, 95, 93, 45], Operations: [] Exploring Operation: 95-54=41, Resulting Numbers: [93, 45, 41] Generated Node #2: [93, 45, 41] from Operation: 95-54=41 Current State: 97:[93, 45, 41], Operations: ['95-54=41'] Exploring Operation: 93+45=138, Resulting Numbers: [41, 138] Generated Node #3: [41, 138] from Operation: 93+45=138 Current State: 97:[41, 138], Operations: ['95-54=41', '93+45=138'] Exploring Operation: 138-41=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 33, 6, 9, 11 ]
22
[ "9-6=3", "33/3=11", "11+11=22" ]
Current State: 22:[33, 6, 9, 11], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [33, 11, 3] Generated Node #2: [33, 11, 3] from Operation: 9-6=3 Current State: 22:[33, 11, 3], Operations: ['9-6=3'] Exploring Operation: 33/3=11, Resulting Numbers: [11, 11] Generated Node #3: [11, 11] from Operation: 33/3=11 Current State: 22:[11, 11], Operations: ['9-6=3', '33/3=11'] Exploring Operation: 11+11=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 1, 16, 90, 93 ]
87
[ "16-1=15", "90/15=6", "93-6=87" ]
Current State: 87:[1, 16, 90, 93], Operations: [] Exploring Operation: 16-1=15, Resulting Numbers: [90, 93, 15] Generated Node #2: [90, 93, 15] from Operation: 16-1=15 Current State: 87:[90, 93, 15], Operations: ['16-1=15'] Exploring Operation: 90/15=6, Resulting Numbers: [93, 6] Generated Node #3: [93, 6] from Operation: 90/15=6 Current State: 87:[93, 6], Operations: ['16-1=15', '90/15=6'] Exploring Operation: 93-6=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 20, 47, 79, 34 ]
86
[ "47-20=27", "79+34=113", "113-27=86" ]
Current State: 86:[20, 47, 79, 34], Operations: [] Exploring Operation: 47-20=27, Resulting Numbers: [79, 34, 27] Generated Node #2: [79, 34, 27] from Operation: 47-20=27 Current State: 86:[79, 34, 27], Operations: ['47-20=27'] Exploring Operation: 79+34=113, Resulting Numbers: [27, 113] Generated Node #3: [27, 113] from Operation: 79+34=113 Current State: 86:[27, 113], Operations: ['47-20=27', '79+34=113'] Exploring Operation: 113-27=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 46, 22, 5, 23 ]
97
[ "46-22=24", "5*24=120", "120-23=97" ]
Current State: 97:[46, 22, 5, 23], Operations: [] Exploring Operation: 46-22=24, Resulting Numbers: [5, 23, 24] Generated Node #2: [5, 23, 24] from Operation: 46-22=24 Current State: 97:[5, 23, 24], Operations: ['46-22=24'] Exploring Operation: 5*24=120, Resulting Numbers: [23, 120] Generated Node #3: [23, 120] from Operation: 5*24=120 Current State: 97:[23, 120], Operations: ['46-22=24', '5*24=120'] Exploring Operation: 120-23=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 5, 58, 65, 76 ]
25
[ "76-58=18", "5*18=90", "90-65=25" ]
Current State: 25:[5, 58, 65, 76], Operations: [] Exploring Operation: 76-58=18, Resulting Numbers: [5, 65, 18] Generated Node #2: [5, 65, 18] from Operation: 76-58=18 Current State: 25:[5, 65, 18], Operations: ['76-58=18'] Exploring Operation: 5*18=90, Resulting Numbers: [65, 90] Generated Node #3: [65, 90] from Operation: 5*18=90 Current State: 25:[65, 90], Operations: ['76-58=18', '5*18=90'] Exploring Operation: 90-65=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 24, 92, 57, 41 ]
100
[ "24+92=116", "57-41=16", "116-16=100" ]
Current State: 100:[24, 92, 57, 41], Operations: [] Exploring Operation: 24+92=116, Resulting Numbers: [57, 41, 116] Generated Node #2: [57, 41, 116] from Operation: 24+92=116 Current State: 100:[57, 41, 116], Operations: ['24+92=116'] Exploring Operation: 57-41=16, Resulting Numbers: [116, 16] Generated Node #3: [116, 16] from Operation: 57-41=16 Current State: 100:[116, 16], Operations: ['24+92=116', '57-41=16'] Exploring Operation: 116-16=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 76, 7, 20, 80 ]
88
[ "76-20=56", "56/7=8", "80+8=88" ]
Current State: 88:[76, 7, 20, 80], Operations: [] Exploring Operation: 76-20=56, Resulting Numbers: [7, 80, 56] Generated Node #2: [7, 80, 56] from Operation: 76-20=56 Current State: 88:[7, 80, 56], Operations: ['76-20=56'] Exploring Operation: 56/7=8, Resulting Numbers: [80, 8] Generated Node #3: [80, 8] from Operation: 56/7=8 Current State: 88:[80, 8], Operations: ['76-20=56', '56/7=8'] Exploring Operation: 80+8=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 57, 76, 34, 12 ]
41
[ "76-57=19", "34-12=22", "19+22=41" ]
Current State: 41:[57, 76, 34, 12], Operations: [] Exploring Operation: 76-57=19, Resulting Numbers: [34, 12, 19] Generated Node #2: [34, 12, 19] from Operation: 76-57=19 Current State: 41:[34, 12, 19], Operations: ['76-57=19'] Exploring Operation: 34-12=22, Resulting Numbers: [19, 22] Generated Node #3: [19, 22] from Operation: 34-12=22 Current State: 41:[19, 22], Operations: ['76-57=19', '34-12=22'] Exploring Operation: 19+22=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 66, 60, 5, 35 ]
44
[ "5+35=40", "66*40=2640", "2640/60=44" ]
Current State: 44:[66, 60, 5, 35], Operations: [] Exploring Operation: 5+35=40, Resulting Numbers: [66, 60, 40] Generated Node #2: [66, 60, 40] from Operation: 5+35=40 Current State: 44:[66, 60, 40], Operations: ['5+35=40'] Exploring Operation: 66*40=2640, Resulting Numbers: [60, 2640] Generated Node #3: [60, 2640] from Operation: 66*40=2640 Current State: 44:[60, 2640], Operations: ['5+35=40', '66*40=2640'] Exploring Operation: 2640/60=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 45, 23, 62, 10 ]
25
[ "62*10=620", "620-45=575", "575/23=25" ]
Current State: 25:[45, 23, 62, 10], Operations: [] Exploring Operation: 62*10=620, Resulting Numbers: [45, 23, 620] Generated Node #2: [45, 23, 620] from Operation: 62*10=620 Current State: 25:[45, 23, 620], Operations: ['62*10=620'] Exploring Operation: 620-45=575, Resulting Numbers: [23, 575] Generated Node #3: [23, 575] from Operation: 620-45=575 Current State: 25:[23, 575], Operations: ['62*10=620', '620-45=575'] Exploring Operation: 575/23=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 86, 20, 54, 69 ]
62
[ "86+54=140", "140/20=7", "69-7=62" ]
Current State: 62:[86, 20, 54, 69], Operations: [] Exploring Operation: 86+54=140, Resulting Numbers: [20, 69, 140] Generated Node #2: [20, 69, 140] from Operation: 86+54=140 Current State: 62:[20, 69, 140], Operations: ['86+54=140'] Exploring Operation: 140/20=7, Resulting Numbers: [69, 7] Generated Node #3: [69, 7] from Operation: 140/20=7 Current State: 62:[69, 7], Operations: ['86+54=140', '140/20=7'] Exploring Operation: 69-7=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 67, 1, 95, 67 ]
97
[ "67/67=1", "1+95=96", "1+96=97" ]
Current State: 97:[67, 1, 95, 67], Operations: [] Exploring Operation: 67/67=1, Resulting Numbers: [1, 95, 1] Generated Node #2: [1, 95, 1] from Operation: 67/67=1 Current State: 97:[1, 95, 1], Operations: ['67/67=1'] Exploring Operation: 1+95=96, Resulting Numbers: [96] 96,97 equal: Goal Reached Exploring Operation: 1+96=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 32, 62, 51, 43 ]
22
[ "62-32=30", "51-43=8", "30-8=22" ]
Current State: 22:[32, 62, 51, 43], Operations: [] Exploring Operation: 62-32=30, Resulting Numbers: [51, 43, 30] Generated Node #2: [51, 43, 30] from Operation: 62-32=30 Current State: 22:[51, 43, 30], Operations: ['62-32=30'] Exploring Operation: 51-43=8, Resulting Numbers: [30, 8] Generated Node #3: [30, 8] from Operation: 51-43=8 Current State: 22:[30, 8], Operations: ['62-32=30', '51-43=8'] Exploring Operation: 30-8=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 19, 42, 13, 14 ]
34
[ "19+42=61", "13+14=27", "61-27=34" ]
Current State: 34:[19, 42, 13, 14], Operations: [] Exploring Operation: 19+42=61, Resulting Numbers: [13, 14, 61] Generated Node #2: [13, 14, 61] from Operation: 19+42=61 Current State: 34:[13, 14, 61], Operations: ['19+42=61'] Exploring Operation: 13+14=27, Resulting Numbers: [61, 27] Generated Node #3: [61, 27] from Operation: 13+14=27 Current State: 34:[61, 27], Operations: ['19+42=61', '13+14=27'] Exploring Operation: 61-27=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 25, 47, 70, 29 ]
31
[ "25+47=72", "70-29=41", "72-41=31" ]
Current State: 31:[25, 47, 70, 29], Operations: [] Exploring Operation: 25+47=72, Resulting Numbers: [70, 29, 72] Generated Node #2: [70, 29, 72] from Operation: 25+47=72 Current State: 31:[70, 29, 72], Operations: ['25+47=72'] Exploring Operation: 70-29=41, Resulting Numbers: [72, 41] Generated Node #3: [72, 41] from Operation: 70-29=41 Current State: 31:[72, 41], Operations: ['25+47=72', '70-29=41'] Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 12, 15, 22, 50 ]
75
[ "15-12=3", "22+50=72", "3+72=75" ]
Current State: 75:[12, 15, 22, 50], Operations: [] Exploring Operation: 15-12=3, Resulting Numbers: [22, 50, 3] Generated Node #2: [22, 50, 3] from Operation: 15-12=3 Current State: 75:[22, 50, 3], Operations: ['15-12=3'] Exploring Operation: 22+50=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 22+50=72 Current State: 75:[3, 72], Operations: ['15-12=3', '22+50=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 17, 19, 72, 36 ]
18
[ "17+19=36", "72/36=2", "36/2=18" ]
Current State: 18:[17, 19, 72, 36], Operations: [] Exploring Operation: 17+19=36, Resulting Numbers: [72, 36, 36] Generated Node #2: [72, 36, 36] from Operation: 17+19=36 Current State: 18:[72, 36, 36], Operations: ['17+19=36'] Exploring Operation: 72/36=2, Resulting Numbers: [2] 2,18 equal: Goal Reached Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 78, 54, 65, 36 ]
31
[ "78+54=132", "65+36=101", "132-101=31" ]
Current State: 31:[78, 54, 65, 36], Operations: [] Exploring Operation: 78+54=132, Resulting Numbers: [65, 36, 132] Generated Node #2: [65, 36, 132] from Operation: 78+54=132 Current State: 31:[65, 36, 132], Operations: ['78+54=132'] Exploring Operation: 65+36=101, Resulting Numbers: [132, 101] Generated Node #3: [132, 101] from Operation: 65+36=101 Current State: 31:[132, 101], Operations: ['78+54=132', '65+36=101'] Exploring Operation: 132-101=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 62, 72, 27, 38 ]
21
[ "72-62=10", "38-27=11", "10+11=21" ]
Current State: 21:[62, 72, 27, 38], Operations: [] Exploring Operation: 72-62=10, Resulting Numbers: [27, 38, 10] Generated Node #2: [27, 38, 10] from Operation: 72-62=10 Current State: 21:[27, 38, 10], Operations: ['72-62=10'] Exploring Operation: 38-27=11, Resulting Numbers: [10, 11] Generated Node #3: [10, 11] from Operation: 38-27=11 Current State: 21:[10, 11], Operations: ['72-62=10', '38-27=11'] Exploring Operation: 10+11=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 10, 67, 46, 59 ]
23
[ "67-10=57", "59-57=2", "46/2=23" ]
Current State: 23:[10, 67, 46, 59], Operations: [] Exploring Operation: 67-10=57, Resulting Numbers: [46, 59, 57] Generated Node #2: [46, 59, 57] from Operation: 67-10=57 Current State: 23:[46, 59, 57], Operations: ['67-10=57'] Exploring Operation: 59-57=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 59-57=2 Current State: 23:[46, 2], Operations: ['67-10=57', '59-57=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 80, 66, 7, 72 ]
70
[ "80-66=14", "14/7=2", "72-2=70" ]
Current State: 70:[80, 66, 7, 72], Operations: [] Exploring Operation: 80-66=14, Resulting Numbers: [7, 72, 14] Generated Node #2: [7, 72, 14] from Operation: 80-66=14 Current State: 70:[7, 72, 14], Operations: ['80-66=14'] Exploring Operation: 14/7=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 14/7=2 Current State: 70:[72, 2], Operations: ['80-66=14', '14/7=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 46, 11, 69, 58 ]
46
[ "46+11=57", "69-58=11", "57-11=46" ]
Current State: 46:[46, 11, 69, 58], Operations: [] Exploring Operation: 46+11=57, Resulting Numbers: [69, 58, 57] Generated Node #2: [69, 58, 57] from Operation: 46+11=57 Current State: 46:[69, 58, 57], Operations: ['46+11=57'] Exploring Operation: 69-58=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 69-58=11 Current State: 46:[57, 11], Operations: ['46+11=57', '69-58=11'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 88, 82, 4, 73 ]
71
[ "88-82=6", "4+73=77", "77-6=71" ]
Current State: 71:[88, 82, 4, 73], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [4, 73, 6] Generated Node #2: [4, 73, 6] from Operation: 88-82=6 Current State: 71:[4, 73, 6], Operations: ['88-82=6'] Exploring Operation: 4+73=77, Resulting Numbers: [6, 77] Generated Node #3: [6, 77] from Operation: 4+73=77 Current State: 71:[6, 77], Operations: ['88-82=6', '4+73=77'] Exploring Operation: 77-6=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 13, 39, 73, 61 ]
38
[ "39-13=26", "73-61=12", "26+12=38" ]
Current State: 38:[13, 39, 73, 61], Operations: [] Exploring Operation: 39-13=26, Resulting Numbers: [73, 61, 26] Generated Node #2: [73, 61, 26] from Operation: 39-13=26 Current State: 38:[73, 61, 26], Operations: ['39-13=26'] Exploring Operation: 73-61=12, Resulting Numbers: [26, 12] Generated Node #3: [26, 12] from Operation: 73-61=12 Current State: 38:[26, 12], Operations: ['39-13=26', '73-61=12'] Exploring Operation: 26+12=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 25, 19, 51, 2 ]
18
[ "25*2=50", "51-19=32", "50-32=18" ]
Current State: 18:[25, 19, 51, 2], Operations: [] Exploring Operation: 25*2=50, Resulting Numbers: [19, 51, 50] Generated Node #2: [19, 51, 50] from Operation: 25*2=50 Current State: 18:[19, 51, 50], Operations: ['25*2=50'] Exploring Operation: 51-19=32, Resulting Numbers: [50, 32] Generated Node #3: [50, 32] from Operation: 51-19=32 Current State: 18:[50, 32], Operations: ['25*2=50', '51-19=32'] Exploring Operation: 50-32=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 6, 56, 82, 98 ]
78
[ "6+56=62", "98-82=16", "62+16=78" ]
Current State: 78:[6, 56, 82, 98], Operations: [] Exploring Operation: 6+56=62, Resulting Numbers: [82, 98, 62] Generated Node #2: [82, 98, 62] from Operation: 6+56=62 Current State: 78:[82, 98, 62], Operations: ['6+56=62'] Exploring Operation: 98-82=16, Resulting Numbers: [62, 16] Generated Node #3: [62, 16] from Operation: 98-82=16 Current State: 78:[62, 16], Operations: ['6+56=62', '98-82=16'] Exploring Operation: 62+16=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 60, 11, 41, 68 ]
76
[ "60-11=49", "68-41=27", "49+27=76" ]
Current State: 76:[60, 11, 41, 68], Operations: [] Exploring Operation: 60-11=49, Resulting Numbers: [41, 68, 49] Generated Node #2: [41, 68, 49] from Operation: 60-11=49 Current State: 76:[41, 68, 49], Operations: ['60-11=49'] Exploring Operation: 68-41=27, Resulting Numbers: [49, 27] Generated Node #3: [49, 27] from Operation: 68-41=27 Current State: 76:[49, 27], Operations: ['60-11=49', '68-41=27'] Exploring Operation: 49+27=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 3, 60, 45, 50 ]
85
[ "3*60=180", "45+50=95", "180-95=85" ]
Current State: 85:[3, 60, 45, 50], Operations: [] Exploring Operation: 3*60=180, Resulting Numbers: [45, 50, 180] Generated Node #2: [45, 50, 180] from Operation: 3*60=180 Current State: 85:[45, 50, 180], Operations: ['3*60=180'] Exploring Operation: 45+50=95, Resulting Numbers: [180, 95] Generated Node #3: [180, 95] from Operation: 45+50=95 Current State: 85:[180, 95], Operations: ['3*60=180', '45+50=95'] Exploring Operation: 180-95=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 31, 21, 5, 19 ]
67
[ "21-19=2", "31*2=62", "5+62=67" ]
Current State: 67:[31, 21, 5, 19], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [31, 5, 2] Generated Node #2: [31, 5, 2] from Operation: 21-19=2 Current State: 67:[31, 5, 2], Operations: ['21-19=2'] Exploring Operation: 31*2=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 31*2=62 Current State: 67:[5, 62], Operations: ['21-19=2', '31*2=62'] Exploring Operation: 5+62=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 77, 7, 12, 2 ]
64
[ "77-7=70", "12/2=6", "70-6=64" ]
Current State: 64:[77, 7, 12, 2], Operations: [] Exploring Operation: 77-7=70, Resulting Numbers: [12, 2, 70] Generated Node #2: [12, 2, 70] from Operation: 77-7=70 Current State: 64:[12, 2, 70], Operations: ['77-7=70'] Exploring Operation: 12/2=6, Resulting Numbers: [70, 6] Generated Node #3: [70, 6] from Operation: 12/2=6 Current State: 64:[70, 6], Operations: ['77-7=70', '12/2=6'] Exploring Operation: 70-6=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 80, 3, 28, 11 ]
25
[ "80+28=108", "108/3=36", "36-11=25" ]
Current State: 25:[80, 3, 28, 11], Operations: [] Exploring Operation: 80+28=108, Resulting Numbers: [3, 11, 108] Generated Node #2: [3, 11, 108] from Operation: 80+28=108 Current State: 25:[3, 11, 108], Operations: ['80+28=108'] Exploring Operation: 108/3=36, Resulting Numbers: [11, 36] Generated Node #3: [11, 36] from Operation: 108/3=36 Current State: 25:[11, 36], Operations: ['80+28=108', '108/3=36'] Exploring Operation: 36-11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 65, 10, 51, 4 ]
39
[ "65+51=116", "116/4=29", "10+29=39" ]
Current State: 39:[65, 10, 51, 4], Operations: [] Exploring Operation: 65+51=116, Resulting Numbers: [10, 4, 116] Generated Node #2: [10, 4, 116] from Operation: 65+51=116 Current State: 39:[10, 4, 116], Operations: ['65+51=116'] Exploring Operation: 116/4=29, Resulting Numbers: [10, 29] Generated Node #3: [10, 29] from Operation: 116/4=29 Current State: 39:[10, 29], Operations: ['65+51=116', '116/4=29'] Exploring Operation: 10+29=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 44, 21, 48, 42 ]
29
[ "44-21=23", "48-42=6", "23+6=29" ]
Current State: 29:[44, 21, 48, 42], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [48, 42, 23] Generated Node #2: [48, 42, 23] from Operation: 44-21=23 Current State: 29:[48, 42, 23], Operations: ['44-21=23'] Exploring Operation: 48-42=6, Resulting Numbers: [23, 6] Generated Node #3: [23, 6] from Operation: 48-42=6 Current State: 29:[23, 6], Operations: ['44-21=23', '48-42=6'] Exploring Operation: 23+6=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 68, 10, 14, 42 ]
26
[ "68+10=78", "42/14=3", "78/3=26" ]
Current State: 26:[68, 10, 14, 42], Operations: [] Exploring Operation: 68+10=78, Resulting Numbers: [14, 42, 78] Generated Node #2: [14, 42, 78] from Operation: 68+10=78 Current State: 26:[14, 42, 78], Operations: ['68+10=78'] Exploring Operation: 42/14=3, Resulting Numbers: [78, 3] Generated Node #3: [78, 3] from Operation: 42/14=3 Current State: 26:[78, 3], Operations: ['68+10=78', '42/14=3'] Exploring Operation: 78/3=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4