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
[ 26, 31, 44, 44 ]
57
[ "26+31=57", "44-44=0", "57+0=57" ]
Current State: 57:[26, 31, 44, 44], Operations: [] Exploring Operation: 26+31=57, Resulting Numbers: [44, 44, 57] Generated Node #2: [44, 44, 57] from Operation: 26+31=57 Current State: 57:[44, 44, 57], Operations: ['26+31=57'] Exploring Operation: 44-44=0, Resulting Numbers: [57, 0] Generated Node #3: [57, 0] from Operation: 44-44=0 Current State: 57:[57, 0], Operations: ['26+31=57', '44-44=0'] Exploring Operation: 57+0=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 21, 16, 81, 33 ]
53
[ "21-16=5", "81-33=48", "5+48=53" ]
Current State: 53:[21, 16, 81, 33], Operations: [] Exploring Operation: 21-16=5, Resulting Numbers: [81, 33, 5] Generated Node #2: [81, 33, 5] from Operation: 21-16=5 Current State: 53:[81, 33, 5], Operations: ['21-16=5'] Exploring Operation: 81-33=48, Resulting Numbers: [5, 48] Generated Node #3: [5, 48] from Operation: 81-33=48 Current State: 53:[5, 48], Operations: ['21-16=5', '81-33=48'] Exploring Operation: 5+48=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 73, 63, 45, 16 ]
51
[ "73-63=10", "45+16=61", "61-10=51" ]
Current State: 51:[73, 63, 45, 16], Operations: [] Exploring Operation: 73-63=10, Resulting Numbers: [45, 16, 10] Generated Node #2: [45, 16, 10] from Operation: 73-63=10 Current State: 51:[45, 16, 10], Operations: ['73-63=10'] Exploring Operation: 45+16=61, Resulting Numbers: [10, 61] Generated Node #3: [10, 61] from Operation: 45+16=61 Current State: 51:[10, 61], Operations: ['73-63=10', '45+16=61'] Exploring Operation: 61-10=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 45, 27, 87, 36 ]
84
[ "45+36=81", "81/27=3", "87-3=84" ]
Current State: 84:[45, 27, 87, 36], Operations: [] Exploring Operation: 45+36=81, Resulting Numbers: [27, 87, 81] Generated Node #2: [27, 87, 81] from Operation: 45+36=81 Current State: 84:[27, 87, 81], Operations: ['45+36=81'] Exploring Operation: 81/27=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 81/27=3 Current State: 84:[87, 3], Operations: ['45+36=81', '81/27=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 90, 58, 36, 27 ]
85
[ "90+58=148", "36+27=63", "148-63=85" ]
Current State: 85:[90, 58, 36, 27], Operations: [] Exploring Operation: 90+58=148, Resulting Numbers: [36, 27, 148] Generated Node #2: [36, 27, 148] from Operation: 90+58=148 Current State: 85:[36, 27, 148], Operations: ['90+58=148'] Exploring Operation: 36+27=63, Resulting Numbers: [148, 63] Generated Node #3: [148, 63] from Operation: 36+27=63 Current State: 85:[148, 63], Operations: ['90+58=148', '36+27=63'] Exploring Operation: 148-63=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 24, 60, 48, 70 ]
34
[ "24+60=84", "48+70=118", "118-84=34" ]
Current State: 34:[24, 60, 48, 70], Operations: [] Exploring Operation: 24+60=84, Resulting Numbers: [48, 70, 84] Generated Node #2: [48, 70, 84] from Operation: 24+60=84 Current State: 34:[48, 70, 84], Operations: ['24+60=84'] Exploring Operation: 48+70=118, Resulting Numbers: [84, 118] Generated Node #3: [84, 118] from Operation: 48+70=118 Current State: 34:[84, 118], Operations: ['24+60=84', '48+70=118'] Exploring Operation: 118-84=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 81, 80, 60, 57 ]
32
[ "81-57=24", "80*24=1920", "1920/60=32" ]
Current State: 32:[81, 80, 60, 57], Operations: [] Exploring Operation: 81-57=24, Resulting Numbers: [80, 60, 24] Generated Node #2: [80, 60, 24] from Operation: 81-57=24 Current State: 32:[80, 60, 24], Operations: ['81-57=24'] Exploring Operation: 80*24=1920, Resulting Numbers: [60, 1920] Generated Node #3: [60, 1920] from Operation: 80*24=1920 Current State: 32:[60, 1920], Operations: ['81-57=24', '80*24=1920'] Exploring Operation: 1920/60=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 1, 5, 7, 54 ]
56
[ "1*5=5", "7+54=61", "61-5=56" ]
Current State: 56:[1, 5, 7, 54], Operations: [] Exploring Operation: 1*5=5, Resulting Numbers: [7, 54, 5] Generated Node #2: [7, 54, 5] from Operation: 1*5=5 Current State: 56:[7, 54, 5], Operations: ['1*5=5'] Exploring Operation: 7+54=61, Resulting Numbers: [5, 61] Generated Node #3: [5, 61] from Operation: 7+54=61 Current State: 56:[5, 61], Operations: ['1*5=5', '7+54=61'] Exploring Operation: 61-5=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 95, 52, 59, 79 ]
23
[ "95-52=43", "79-59=20", "43-20=23" ]
Current State: 23:[95, 52, 59, 79], Operations: [] Exploring Operation: 95-52=43, Resulting Numbers: [59, 79, 43] Generated Node #2: [59, 79, 43] from Operation: 95-52=43 Current State: 23:[59, 79, 43], Operations: ['95-52=43'] Exploring Operation: 79-59=20, Resulting Numbers: [43, 20] Generated Node #3: [43, 20] from Operation: 79-59=20 Current State: 23:[43, 20], Operations: ['95-52=43', '79-59=20'] Exploring Operation: 43-20=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 53, 93, 61, 71 ]
46
[ "61*71=4331", "4331-53=4278", "4278/93=46" ]
Current State: 46:[53, 93, 61, 71], Operations: [] Exploring Operation: 61*71=4331, Resulting Numbers: [53, 93, 4331] Generated Node #2: [53, 93, 4331] from Operation: 61*71=4331 Current State: 46:[53, 93, 4331], Operations: ['61*71=4331'] Exploring Operation: 4331-53=4278, Resulting Numbers: [93, 4278] Generated Node #3: [93, 4278] from Operation: 4331-53=4278 Current State: 46:[93, 4278], Operations: ['61*71=4331', '4331-53=4278'] Exploring Operation: 4278/93=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 11, 69, 25 ]
13
[ "69-25=44", "44/11=4", "9+4=13" ]
Current State: 13:[9, 11, 69, 25], Operations: [] Exploring Operation: 69-25=44, Resulting Numbers: [9, 11, 44] Generated Node #2: [9, 11, 44] from Operation: 69-25=44 Current State: 13:[9, 11, 44], Operations: ['69-25=44'] Exploring Operation: 44/11=4, Resulting Numbers: [9, 4] Generated Node #3: [9, 4] from Operation: 44/11=4 Current State: 13:[9, 4], Operations: ['69-25=44', '44/11=4'] Exploring Operation: 9+4=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 6, 47, 54, 5 ]
100
[ "47-6=41", "54+5=59", "41+59=100" ]
Current State: 100:[6, 47, 54, 5], Operations: [] Exploring Operation: 47-6=41, Resulting Numbers: [54, 5, 41] Generated Node #2: [54, 5, 41] from Operation: 47-6=41 Current State: 100:[54, 5, 41], Operations: ['47-6=41'] Exploring Operation: 54+5=59, Resulting Numbers: [41, 59] Generated Node #3: [41, 59] from Operation: 54+5=59 Current State: 100:[41, 59], Operations: ['47-6=41', '54+5=59'] Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 39, 52, 8, 44 ]
65
[ "52-39=13", "8+44=52", "13+52=65" ]
Current State: 65:[39, 52, 8, 44], Operations: [] Exploring Operation: 52-39=13, Resulting Numbers: [8, 44, 13] Generated Node #2: [8, 44, 13] from Operation: 52-39=13 Current State: 65:[8, 44, 13], Operations: ['52-39=13'] Exploring Operation: 8+44=52, Resulting Numbers: [13, 52] Generated Node #3: [13, 52] from Operation: 8+44=52 Current State: 65:[13, 52], Operations: ['52-39=13', '8+44=52'] Exploring Operation: 13+52=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 49, 18, 85, 53 ]
99
[ "49+18=67", "85-53=32", "67+32=99" ]
Current State: 99:[49, 18, 85, 53], Operations: [] Exploring Operation: 49+18=67, Resulting Numbers: [85, 53, 67] Generated Node #2: [85, 53, 67] from Operation: 49+18=67 Current State: 99:[85, 53, 67], Operations: ['49+18=67'] Exploring Operation: 85-53=32, Resulting Numbers: [67, 32] Generated Node #3: [67, 32] from Operation: 85-53=32 Current State: 99:[67, 32], Operations: ['49+18=67', '85-53=32'] Exploring Operation: 67+32=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 36, 8, 21 ]
51
[ "36-21=15", "8*15=120", "120-69=51" ]
Current State: 51:[69, 36, 8, 21], Operations: [] Exploring Operation: 36-21=15, Resulting Numbers: [69, 8, 15] Generated Node #2: [69, 8, 15] from Operation: 36-21=15 Current State: 51:[69, 8, 15], Operations: ['36-21=15'] Exploring Operation: 8*15=120, Resulting Numbers: [69, 120] Generated Node #3: [69, 120] from Operation: 8*15=120 Current State: 51:[69, 120], Operations: ['36-21=15', '8*15=120'] Exploring Operation: 120-69=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 2, 66, 83, 34 ]
68
[ "83-66=17", "2*17=34", "34+34=68" ]
Current State: 68:[2, 66, 83, 34], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [2, 34, 17] Generated Node #2: [2, 34, 17] from Operation: 83-66=17 Current State: 68:[2, 34, 17], Operations: ['83-66=17'] Exploring Operation: 2*17=34, Resulting Numbers: [34, 34] Generated Node #3: [34, 34] from Operation: 2*17=34 Current State: 68:[34, 34], Operations: ['83-66=17', '2*17=34'] Exploring Operation: 34+34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 83, 85, 29, 84 ]
55
[ "83+85=168", "29+84=113", "168-113=55" ]
Current State: 55:[83, 85, 29, 84], Operations: [] Exploring Operation: 83+85=168, Resulting Numbers: [29, 84, 168] Generated Node #2: [29, 84, 168] from Operation: 83+85=168 Current State: 55:[29, 84, 168], Operations: ['83+85=168'] Exploring Operation: 29+84=113, Resulting Numbers: [168, 113] Generated Node #3: [168, 113] from Operation: 29+84=113 Current State: 55:[168, 113], Operations: ['83+85=168', '29+84=113'] Exploring Operation: 168-113=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 85, 82, 10, 8 ]
50
[ "85-82=3", "8-3=5", "10*5=50" ]
Current State: 50:[85, 82, 10, 8], Operations: [] Exploring Operation: 85-82=3, Resulting Numbers: [10, 8, 3] Generated Node #2: [10, 8, 3] from Operation: 85-82=3 Current State: 50:[10, 8, 3], Operations: ['85-82=3'] Exploring Operation: 8-3=5, Resulting Numbers: [10, 5] Generated Node #3: [10, 5] from Operation: 8-3=5 Current State: 50:[10, 5], Operations: ['85-82=3', '8-3=5'] Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 21, 70, 84, 95 ]
29
[ "84/21=4", "95-70=25", "4+25=29" ]
Current State: 29:[21, 70, 84, 95], Operations: [] Exploring Operation: 84/21=4, Resulting Numbers: [70, 95, 4] Generated Node #2: [70, 95, 4] from Operation: 84/21=4 Current State: 29:[70, 95, 4], Operations: ['84/21=4'] Exploring Operation: 95-70=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 95-70=25 Current State: 29:[4, 25], Operations: ['84/21=4', '95-70=25'] Exploring Operation: 4+25=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 25, 56, 41, 30 ]
50
[ "25*30=750", "56-41=15", "750/15=50" ]
Current State: 50:[25, 56, 41, 30], Operations: [] Exploring Operation: 25*30=750, Resulting Numbers: [56, 41, 750] Generated Node #2: [56, 41, 750] from Operation: 25*30=750 Current State: 50:[56, 41, 750], Operations: ['25*30=750'] Exploring Operation: 56-41=15, Resulting Numbers: [750, 15] Generated Node #3: [750, 15] from Operation: 56-41=15 Current State: 50:[750, 15], Operations: ['25*30=750', '56-41=15'] Exploring Operation: 750/15=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 77, 25, 72, 37 ]
32
[ "77-72=5", "25/5=5", "37-5=32" ]
Current State: 32:[77, 25, 72, 37], Operations: [] Exploring Operation: 77-72=5, Resulting Numbers: [25, 37, 5] Generated Node #2: [25, 37, 5] from Operation: 77-72=5 Current State: 32:[25, 37, 5], Operations: ['77-72=5'] Exploring Operation: 25/5=5, Resulting Numbers: [37, 5] Generated Node #3: [37, 5] from Operation: 25/5=5 Current State: 32:[37, 5], Operations: ['77-72=5', '25/5=5'] Exploring Operation: 37-5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 85, 2, 35, 69 ]
86
[ "85-69=16", "2*35=70", "16+70=86" ]
Current State: 86:[85, 2, 35, 69], Operations: [] Exploring Operation: 85-69=16, Resulting Numbers: [2, 35, 16] Generated Node #2: [2, 35, 16] from Operation: 85-69=16 Current State: 86:[2, 35, 16], Operations: ['85-69=16'] Exploring Operation: 2*35=70, Resulting Numbers: [16, 70] Generated Node #3: [16, 70] from Operation: 2*35=70 Current State: 86:[16, 70], Operations: ['85-69=16', '2*35=70'] Exploring Operation: 16+70=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 76, 60, 80, 54 ]
49
[ "76-60=16", "80/16=5", "54-5=49" ]
Current State: 49:[76, 60, 80, 54], Operations: [] Exploring Operation: 76-60=16, Resulting Numbers: [80, 54, 16] Generated Node #2: [80, 54, 16] from Operation: 76-60=16 Current State: 49:[80, 54, 16], Operations: ['76-60=16'] Exploring Operation: 80/16=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 80/16=5 Current State: 49:[54, 5], Operations: ['76-60=16', '80/16=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 12, 33, 36, 27 ]
42
[ "33-12=21", "36+27=63", "63-21=42" ]
Current State: 42:[12, 33, 36, 27], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [36, 27, 21] Generated Node #2: [36, 27, 21] from Operation: 33-12=21 Current State: 42:[36, 27, 21], Operations: ['33-12=21'] Exploring Operation: 36+27=63, Resulting Numbers: [21, 63] Generated Node #3: [21, 63] from Operation: 36+27=63 Current State: 42:[21, 63], Operations: ['33-12=21', '36+27=63'] Exploring Operation: 63-21=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 66, 6, 62, 9 ]
37
[ "66/6=11", "9*11=99", "99-62=37" ]
Current State: 37:[66, 6, 62, 9], Operations: [] Exploring Operation: 66/6=11, Resulting Numbers: [62, 9, 11] Generated Node #2: [62, 9, 11] from Operation: 66/6=11 Current State: 37:[62, 9, 11], Operations: ['66/6=11'] Exploring Operation: 9*11=99, Resulting Numbers: [62, 99] Generated Node #3: [62, 99] from Operation: 9*11=99 Current State: 37:[62, 99], Operations: ['66/6=11', '9*11=99'] Exploring Operation: 99-62=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 82, 84, 76, 99 ]
61
[ "84-82=2", "76/2=38", "99-38=61" ]
Current State: 61:[82, 84, 76, 99], Operations: [] Exploring Operation: 84-82=2, Resulting Numbers: [76, 99, 2] Generated Node #2: [76, 99, 2] from Operation: 84-82=2 Current State: 61:[76, 99, 2], Operations: ['84-82=2'] Exploring Operation: 76/2=38, Resulting Numbers: [99, 38] Generated Node #3: [99, 38] from Operation: 76/2=38 Current State: 61:[99, 38], Operations: ['84-82=2', '76/2=38'] Exploring Operation: 99-38=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 41, 33, 20, 79 ]
51
[ "41-33=8", "79-20=59", "59-8=51" ]
Current State: 51:[41, 33, 20, 79], Operations: [] Exploring Operation: 41-33=8, Resulting Numbers: [20, 79, 8] Generated Node #2: [20, 79, 8] from Operation: 41-33=8 Current State: 51:[20, 79, 8], Operations: ['41-33=8'] Exploring Operation: 79-20=59, Resulting Numbers: [8, 59] Generated Node #3: [8, 59] from Operation: 79-20=59 Current State: 51:[8, 59], Operations: ['41-33=8', '79-20=59'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 59, 74, 15, 4 ]
37
[ "59+74=133", "15+133=148", "148/4=37" ]
Current State: 37:[59, 74, 15, 4], Operations: [] Exploring Operation: 59+74=133, Resulting Numbers: [15, 4, 133] Generated Node #2: [15, 4, 133] from Operation: 59+74=133 Current State: 37:[15, 4, 133], Operations: ['59+74=133'] Exploring Operation: 15+133=148, Resulting Numbers: [4, 148] Generated Node #3: [4, 148] from Operation: 15+133=148 Current State: 37:[4, 148], Operations: ['59+74=133', '15+133=148'] Exploring Operation: 148/4=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 2, 99, 10, 78 ]
41
[ "2*10=20", "99-78=21", "20+21=41" ]
Current State: 41:[2, 99, 10, 78], Operations: [] Exploring Operation: 2*10=20, Resulting Numbers: [99, 78, 20] Generated Node #2: [99, 78, 20] from Operation: 2*10=20 Current State: 41:[99, 78, 20], Operations: ['2*10=20'] Exploring Operation: 99-78=21, Resulting Numbers: [20, 21] Generated Node #3: [20, 21] from Operation: 99-78=21 Current State: 41:[20, 21], Operations: ['2*10=20', '99-78=21'] Exploring Operation: 20+21=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 32, 27, 51, 19 ]
55
[ "27-19=8", "32/8=4", "51+4=55" ]
Current State: 55:[32, 27, 51, 19], Operations: [] Exploring Operation: 27-19=8, Resulting Numbers: [32, 51, 8] Generated Node #2: [32, 51, 8] from Operation: 27-19=8 Current State: 55:[32, 51, 8], Operations: ['27-19=8'] Exploring Operation: 32/8=4, Resulting Numbers: [51, 4] Generated Node #3: [51, 4] from Operation: 32/8=4 Current State: 55:[51, 4], Operations: ['27-19=8', '32/8=4'] Exploring Operation: 51+4=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 40, 79, 7, 65 ]
97
[ "79-40=39", "65-7=58", "39+58=97" ]
Current State: 97:[40, 79, 7, 65], Operations: [] Exploring Operation: 79-40=39, Resulting Numbers: [7, 65, 39] Generated Node #2: [7, 65, 39] from Operation: 79-40=39 Current State: 97:[7, 65, 39], Operations: ['79-40=39'] Exploring Operation: 65-7=58, Resulting Numbers: [39, 58] Generated Node #3: [39, 58] from Operation: 65-7=58 Current State: 97:[39, 58], Operations: ['79-40=39', '65-7=58'] Exploring Operation: 39+58=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 23, 14, 66, 11 ]
31
[ "23+14=37", "66/11=6", "37-6=31" ]
Current State: 31:[23, 14, 66, 11], Operations: [] Exploring Operation: 23+14=37, Resulting Numbers: [66, 11, 37] Generated Node #2: [66, 11, 37] from Operation: 23+14=37 Current State: 31:[66, 11, 37], Operations: ['23+14=37'] Exploring Operation: 66/11=6, Resulting Numbers: [37, 6] Generated Node #3: [37, 6] from Operation: 66/11=6 Current State: 31:[37, 6], Operations: ['23+14=37', '66/11=6'] Exploring Operation: 37-6=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 52, 16, 17 ]
20
[ "34*16=544", "544/17=32", "52-32=20" ]
Current State: 20:[34, 52, 16, 17], Operations: [] Exploring Operation: 34*16=544, Resulting Numbers: [52, 17, 544] Generated Node #2: [52, 17, 544] from Operation: 34*16=544 Current State: 20:[52, 17, 544], Operations: ['34*16=544'] Exploring Operation: 544/17=32, Resulting Numbers: [52, 32] Generated Node #3: [52, 32] from Operation: 544/17=32 Current State: 20:[52, 32], Operations: ['34*16=544', '544/17=32'] Exploring Operation: 52-32=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 10, 83, 97, 65 ]
91
[ "97-83=14", "65*14=910", "910/10=91" ]
Current State: 91:[10, 83, 97, 65], Operations: [] Exploring Operation: 97-83=14, Resulting Numbers: [10, 65, 14] Generated Node #2: [10, 65, 14] from Operation: 97-83=14 Current State: 91:[10, 65, 14], Operations: ['97-83=14'] Exploring Operation: 65*14=910, Resulting Numbers: [10, 910] Generated Node #3: [10, 910] from Operation: 65*14=910 Current State: 91:[10, 910], Operations: ['97-83=14', '65*14=910'] Exploring Operation: 910/10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 60, 62, 50, 35 ]
66
[ "50-35=15", "60/15=4", "62+4=66" ]
Current State: 66:[60, 62, 50, 35], Operations: [] Exploring Operation: 50-35=15, Resulting Numbers: [60, 62, 15] Generated Node #2: [60, 62, 15] from Operation: 50-35=15 Current State: 66:[60, 62, 15], Operations: ['50-35=15'] Exploring Operation: 60/15=4, Resulting Numbers: [62, 4] Generated Node #3: [62, 4] from Operation: 60/15=4 Current State: 66:[62, 4], Operations: ['50-35=15', '60/15=4'] Exploring Operation: 62+4=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 42, 3, 18, 16 ]
90
[ "42+3=45", "18-16=2", "45*2=90" ]
Current State: 90:[42, 3, 18, 16], Operations: [] Exploring Operation: 42+3=45, Resulting Numbers: [18, 16, 45] Generated Node #2: [18, 16, 45] from Operation: 42+3=45 Current State: 90:[18, 16, 45], Operations: ['42+3=45'] Exploring Operation: 18-16=2, Resulting Numbers: [45, 2] Generated Node #3: [45, 2] from Operation: 18-16=2 Current State: 90:[45, 2], Operations: ['42+3=45', '18-16=2'] Exploring Operation: 45*2=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 40, 24, 85, 41 ]
96
[ "85-40=45", "45-41=4", "24*4=96" ]
Current State: 96:[40, 24, 85, 41], Operations: [] Exploring Operation: 85-40=45, Resulting Numbers: [24, 41, 45] Generated Node #2: [24, 41, 45] from Operation: 85-40=45 Current State: 96:[24, 41, 45], Operations: ['85-40=45'] Exploring Operation: 45-41=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 45-41=4 Current State: 96:[24, 4], Operations: ['85-40=45', '45-41=4'] Exploring Operation: 24*4=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 82, 44, 54, 3 ]
69
[ "82+44=126", "54+3=57", "126-57=69" ]
Current State: 69:[82, 44, 54, 3], Operations: [] Exploring Operation: 82+44=126, Resulting Numbers: [54, 3, 126] Generated Node #2: [54, 3, 126] from Operation: 82+44=126 Current State: 69:[54, 3, 126], Operations: ['82+44=126'] Exploring Operation: 54+3=57, Resulting Numbers: [126, 57] Generated Node #3: [126, 57] from Operation: 54+3=57 Current State: 69:[126, 57], Operations: ['82+44=126', '54+3=57'] Exploring Operation: 126-57=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 48, 43, 35, 13 ]
17
[ "48-43=5", "35-13=22", "22-5=17" ]
Current State: 17:[48, 43, 35, 13], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [35, 13, 5] Generated Node #2: [35, 13, 5] from Operation: 48-43=5 Current State: 17:[35, 13, 5], Operations: ['48-43=5'] Exploring Operation: 35-13=22, Resulting Numbers: [5, 22] Generated Node #3: [5, 22] from Operation: 35-13=22 Current State: 17:[5, 22], Operations: ['48-43=5', '35-13=22'] Exploring Operation: 22-5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 75, 29, 90, 45 ]
23
[ "75-29=46", "90/45=2", "46/2=23" ]
Current State: 23:[75, 29, 90, 45], Operations: [] Exploring Operation: 75-29=46, Resulting Numbers: [90, 45, 46] Generated Node #2: [90, 45, 46] from Operation: 75-29=46 Current State: 23:[90, 45, 46], Operations: ['75-29=46'] Exploring Operation: 90/45=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 90/45=2 Current State: 23:[46, 2], Operations: ['75-29=46', '90/45=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 25, 43, 68, 41 ]
41
[ "25+43=68", "68+41=109", "109-68=41" ]
Current State: 41:[25, 43, 68, 41], Operations: [] Exploring Operation: 25+43=68, Resulting Numbers: [68, 41, 68] Generated Node #2: [68, 41, 68] from Operation: 25+43=68 Current State: 41:[68, 41, 68], Operations: ['25+43=68'] Exploring Operation: 68+41=109, Resulting Numbers: [109] 109,41 equal: Goal Reached Exploring Operation: 109-68=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 88, 96, 58, 90 ]
36
[ "88+96=184", "58+90=148", "184-148=36" ]
Current State: 36:[88, 96, 58, 90], Operations: [] Exploring Operation: 88+96=184, Resulting Numbers: [58, 90, 184] Generated Node #2: [58, 90, 184] from Operation: 88+96=184 Current State: 36:[58, 90, 184], Operations: ['88+96=184'] Exploring Operation: 58+90=148, Resulting Numbers: [184, 148] Generated Node #3: [184, 148] from Operation: 58+90=148 Current State: 36:[184, 148], Operations: ['88+96=184', '58+90=148'] Exploring Operation: 184-148=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 29, 5, 5, 18 ]
46
[ "29+18=47", "5/5=1", "47-1=46" ]
Current State: 46:[29, 5, 5, 18], Operations: [] Exploring Operation: 29+18=47, Resulting Numbers: [5, 5, 47] Generated Node #2: [5, 5, 47] from Operation: 29+18=47 Current State: 46:[5, 5, 47], Operations: ['29+18=47'] Exploring Operation: 5/5=1, Resulting Numbers: [47, 1] Generated Node #3: [47, 1] from Operation: 5/5=1 Current State: 46:[47, 1], Operations: ['29+18=47', '5/5=1'] Exploring Operation: 47-1=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 55, 20, 26, 49 ]
24
[ "55+49=104", "104/26=4", "20+4=24" ]
Current State: 24:[55, 20, 26, 49], Operations: [] Exploring Operation: 55+49=104, Resulting Numbers: [20, 26, 104] Generated Node #2: [20, 26, 104] from Operation: 55+49=104 Current State: 24:[20, 26, 104], Operations: ['55+49=104'] Exploring Operation: 104/26=4, Resulting Numbers: [20, 4] Generated Node #3: [20, 4] from Operation: 104/26=4 Current State: 24:[20, 4], Operations: ['55+49=104', '104/26=4'] Exploring Operation: 20+4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 50, 77, 70, 82 ]
36
[ "82-77=5", "70/5=14", "50-14=36" ]
Current State: 36:[50, 77, 70, 82], Operations: [] Exploring Operation: 82-77=5, Resulting Numbers: [50, 70, 5] Generated Node #2: [50, 70, 5] from Operation: 82-77=5 Current State: 36:[50, 70, 5], Operations: ['82-77=5'] Exploring Operation: 70/5=14, Resulting Numbers: [50, 14] Generated Node #3: [50, 14] from Operation: 70/5=14 Current State: 36:[50, 14], Operations: ['82-77=5', '70/5=14'] Exploring Operation: 50-14=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 7, 32, 54, 26 ]
55
[ "32-7=25", "54+26=80", "80-25=55" ]
Current State: 55:[7, 32, 54, 26], Operations: [] Exploring Operation: 32-7=25, Resulting Numbers: [54, 26, 25] Generated Node #2: [54, 26, 25] from Operation: 32-7=25 Current State: 55:[54, 26, 25], Operations: ['32-7=25'] Exploring Operation: 54+26=80, Resulting Numbers: [25, 80] Generated Node #3: [25, 80] from Operation: 54+26=80 Current State: 55:[25, 80], Operations: ['32-7=25', '54+26=80'] Exploring Operation: 80-25=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 2, 66, 6, 26 ]
80
[ "2*6=12", "66+26=92", "92-12=80" ]
Current State: 80:[2, 66, 6, 26], Operations: [] Exploring Operation: 2*6=12, Resulting Numbers: [66, 26, 12] Generated Node #2: [66, 26, 12] from Operation: 2*6=12 Current State: 80:[66, 26, 12], Operations: ['2*6=12'] Exploring Operation: 66+26=92, Resulting Numbers: [12, 92] Generated Node #3: [12, 92] from Operation: 66+26=92 Current State: 80:[12, 92], Operations: ['2*6=12', '66+26=92'] Exploring Operation: 92-12=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 48, 41, 81, 12 ]
76
[ "48-41=7", "81-12=69", "7+69=76" ]
Current State: 76:[48, 41, 81, 12], Operations: [] Exploring Operation: 48-41=7, Resulting Numbers: [81, 12, 7] Generated Node #2: [81, 12, 7] from Operation: 48-41=7 Current State: 76:[81, 12, 7], Operations: ['48-41=7'] Exploring Operation: 81-12=69, Resulting Numbers: [7, 69] Generated Node #3: [7, 69] from Operation: 81-12=69 Current State: 76:[7, 69], Operations: ['48-41=7', '81-12=69'] Exploring Operation: 7+69=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 43, 1, 63 ]
49
[ "63/9=7", "43-1=42", "7+42=49" ]
Current State: 49:[9, 43, 1, 63], Operations: [] Exploring Operation: 63/9=7, Resulting Numbers: [43, 1, 7] Generated Node #2: [43, 1, 7] from Operation: 63/9=7 Current State: 49:[43, 1, 7], Operations: ['63/9=7'] Exploring Operation: 43-1=42, Resulting Numbers: [7, 42] Generated Node #3: [7, 42] from Operation: 43-1=42 Current State: 49:[7, 42], Operations: ['63/9=7', '43-1=42'] Exploring Operation: 7+42=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 25, 25, 9, 60 ]
60
[ "25-25=0", "9*0=0", "60+0=60" ]
Current State: 60:[25, 25, 9, 60], Operations: [] Exploring Operation: 25-25=0, Resulting Numbers: [9, 60, 0] Generated Node #2: [9, 60, 0] from Operation: 25-25=0 Current State: 60:[9, 60, 0], Operations: ['25-25=0'] Exploring Operation: 9*0=0, Resulting Numbers: [60, 0] Generated Node #3: [60, 0] from Operation: 9*0=0 Current State: 60:[60, 0], Operations: ['25-25=0', '9*0=0'] Exploring Operation: 60+0=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 34, 42, 58, 64 ]
50
[ "42-34=8", "64/8=8", "58-8=50" ]
Current State: 50:[34, 42, 58, 64], Operations: [] Exploring Operation: 42-34=8, Resulting Numbers: [58, 64, 8] Generated Node #2: [58, 64, 8] from Operation: 42-34=8 Current State: 50:[58, 64, 8], Operations: ['42-34=8'] Exploring Operation: 64/8=8, Resulting Numbers: [58, 8] Generated Node #3: [58, 8] from Operation: 64/8=8 Current State: 50:[58, 8], Operations: ['42-34=8', '64/8=8'] Exploring Operation: 58-8=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 62, 84, 36, 73 ]
59
[ "84-62=22", "73-36=37", "22+37=59" ]
Current State: 59:[62, 84, 36, 73], Operations: [] Exploring Operation: 84-62=22, Resulting Numbers: [36, 73, 22] Generated Node #2: [36, 73, 22] from Operation: 84-62=22 Current State: 59:[36, 73, 22], Operations: ['84-62=22'] Exploring Operation: 73-36=37, Resulting Numbers: [22, 37] Generated Node #3: [22, 37] from Operation: 73-36=37 Current State: 59:[22, 37], Operations: ['84-62=22', '73-36=37'] Exploring Operation: 22+37=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 8, 41, 87, 33 ]
87
[ "41-8=33", "87+33=120", "120-33=87" ]
Current State: 87:[8, 41, 87, 33], Operations: [] Exploring Operation: 41-8=33, Resulting Numbers: [87, 33, 33] Generated Node #2: [87, 33, 33] from Operation: 41-8=33 Current State: 87:[87, 33, 33], Operations: ['41-8=33'] Exploring Operation: 87+33=120, Resulting Numbers: [120] 120,87 equal: Goal Reached Exploring Operation: 120-33=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 60, 4, 5, 93 ]
31
[ "60/4=15", "5*93=465", "465/15=31" ]
Current State: 31:[60, 4, 5, 93], Operations: [] Exploring Operation: 60/4=15, Resulting Numbers: [5, 93, 15] Generated Node #2: [5, 93, 15] from Operation: 60/4=15 Current State: 31:[5, 93, 15], Operations: ['60/4=15'] Exploring Operation: 5*93=465, Resulting Numbers: [15, 465] Generated Node #3: [15, 465] from Operation: 5*93=465 Current State: 31:[15, 465], Operations: ['60/4=15', '5*93=465'] Exploring Operation: 465/15=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 79, 63, 40, 33 ]
50
[ "63*33=2079", "2079-79=2000", "2000/40=50" ]
Current State: 50:[79, 63, 40, 33], Operations: [] Exploring Operation: 63*33=2079, Resulting Numbers: [79, 40, 2079] Generated Node #2: [79, 40, 2079] from Operation: 63*33=2079 Current State: 50:[79, 40, 2079], Operations: ['63*33=2079'] Exploring Operation: 2079-79=2000, Resulting Numbers: [40, 2000] Generated Node #3: [40, 2000] from Operation: 2079-79=2000 Current State: 50:[40, 2000], Operations: ['63*33=2079', '2079-79=2000'] Exploring Operation: 2000/40=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 54, 18, 27, 99 ]
12
[ "18*99=1782", "1782/27=66", "66-54=12" ]
Current State: 12:[54, 18, 27, 99], Operations: [] Exploring Operation: 18*99=1782, Resulting Numbers: [54, 27, 1782] Generated Node #2: [54, 27, 1782] from Operation: 18*99=1782 Current State: 12:[54, 27, 1782], Operations: ['18*99=1782'] Exploring Operation: 1782/27=66, Resulting Numbers: [54, 66] Generated Node #3: [54, 66] from Operation: 1782/27=66 Current State: 12:[54, 66], Operations: ['18*99=1782', '1782/27=66'] Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 21, 30, 3, 95 ]
15
[ "3*95=285", "30+285=315", "315/21=15" ]
Current State: 15:[21, 30, 3, 95], Operations: [] Exploring Operation: 3*95=285, Resulting Numbers: [21, 30, 285] Generated Node #2: [21, 30, 285] from Operation: 3*95=285 Current State: 15:[21, 30, 285], Operations: ['3*95=285'] Exploring Operation: 30+285=315, Resulting Numbers: [21, 315] Generated Node #3: [21, 315] from Operation: 30+285=315 Current State: 15:[21, 315], Operations: ['3*95=285', '30+285=315'] Exploring Operation: 315/21=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 27, 26, 75, 48 ]
80
[ "27+26=53", "75-48=27", "53+27=80" ]
Current State: 80:[27, 26, 75, 48], Operations: [] Exploring Operation: 27+26=53, Resulting Numbers: [75, 48, 53] Generated Node #2: [75, 48, 53] from Operation: 27+26=53 Current State: 80:[75, 48, 53], Operations: ['27+26=53'] Exploring Operation: 75-48=27, Resulting Numbers: [53, 27] Generated Node #3: [53, 27] from Operation: 75-48=27 Current State: 80:[53, 27], Operations: ['27+26=53', '75-48=27'] Exploring Operation: 53+27=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 84, 2, 78, 21 ]
57
[ "84/2=42", "78+21=99", "99-42=57" ]
Current State: 57:[84, 2, 78, 21], Operations: [] Exploring Operation: 84/2=42, Resulting Numbers: [78, 21, 42] Generated Node #2: [78, 21, 42] from Operation: 84/2=42 Current State: 57:[78, 21, 42], Operations: ['84/2=42'] Exploring Operation: 78+21=99, Resulting Numbers: [42, 99] Generated Node #3: [42, 99] from Operation: 78+21=99 Current State: 57:[42, 99], Operations: ['84/2=42', '78+21=99'] Exploring Operation: 99-42=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 44, 11, 84, 56 ]
70
[ "44/11=4", "56/4=14", "84-14=70" ]
Current State: 70:[44, 11, 84, 56], Operations: [] Exploring Operation: 44/11=4, Resulting Numbers: [84, 56, 4] Generated Node #2: [84, 56, 4] from Operation: 44/11=4 Current State: 70:[84, 56, 4], Operations: ['44/11=4'] Exploring Operation: 56/4=14, Resulting Numbers: [84, 14] Generated Node #3: [84, 14] from Operation: 56/4=14 Current State: 70:[84, 14], Operations: ['44/11=4', '56/4=14'] Exploring Operation: 84-14=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 50, 89, 83, 79 ]
78
[ "89-79=10", "50/10=5", "83-5=78" ]
Current State: 78:[50, 89, 83, 79], Operations: [] Exploring Operation: 89-79=10, Resulting Numbers: [50, 83, 10] Generated Node #2: [50, 83, 10] from Operation: 89-79=10 Current State: 78:[50, 83, 10], Operations: ['89-79=10'] Exploring Operation: 50/10=5, Resulting Numbers: [83, 5] Generated Node #3: [83, 5] from Operation: 50/10=5 Current State: 78:[83, 5], Operations: ['89-79=10', '50/10=5'] Exploring Operation: 83-5=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 14, 50, 29, 42 ]
63
[ "42/14=3", "50-29=21", "3*21=63" ]
Current State: 63:[14, 50, 29, 42], Operations: [] Exploring Operation: 42/14=3, Resulting Numbers: [50, 29, 3] Generated Node #2: [50, 29, 3] from Operation: 42/14=3 Current State: 63:[50, 29, 3], Operations: ['42/14=3'] Exploring Operation: 50-29=21, Resulting Numbers: [3, 21] Generated Node #3: [3, 21] from Operation: 50-29=21 Current State: 63:[3, 21], Operations: ['42/14=3', '50-29=21'] Exploring Operation: 3*21=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 79, 46, 56, 49 ]
51
[ "79-56=23", "46/23=2", "49+2=51" ]
Current State: 51:[79, 46, 56, 49], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [46, 49, 23] Generated Node #2: [46, 49, 23] from Operation: 79-56=23 Current State: 51:[46, 49, 23], Operations: ['79-56=23'] Exploring Operation: 46/23=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 46/23=2 Current State: 51:[49, 2], Operations: ['79-56=23', '46/23=2'] Exploring Operation: 49+2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 27, 81, 36, 5 ]
21
[ "81/27=3", "5*3=15", "36-15=21" ]
Current State: 21:[27, 81, 36, 5], Operations: [] Exploring Operation: 81/27=3, Resulting Numbers: [36, 5, 3] Generated Node #2: [36, 5, 3] from Operation: 81/27=3 Current State: 21:[36, 5, 3], Operations: ['81/27=3'] Exploring Operation: 5*3=15, Resulting Numbers: [36, 15] Generated Node #3: [36, 15] from Operation: 5*3=15 Current State: 21:[36, 15], Operations: ['81/27=3', '5*3=15'] Exploring Operation: 36-15=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 45, 25, 7, 94 ]
46
[ "45-25=20", "7*20=140", "140-94=46" ]
Current State: 46:[45, 25, 7, 94], Operations: [] Exploring Operation: 45-25=20, Resulting Numbers: [7, 94, 20] Generated Node #2: [7, 94, 20] from Operation: 45-25=20 Current State: 46:[7, 94, 20], Operations: ['45-25=20'] Exploring Operation: 7*20=140, Resulting Numbers: [94, 140] Generated Node #3: [94, 140] from Operation: 7*20=140 Current State: 46:[94, 140], Operations: ['45-25=20', '7*20=140'] Exploring Operation: 140-94=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 28, 22, 8, 76 ]
35
[ "28+76=104", "104/8=13", "22+13=35" ]
Current State: 35:[28, 22, 8, 76], Operations: [] Exploring Operation: 28+76=104, Resulting Numbers: [22, 8, 104] Generated Node #2: [22, 8, 104] from Operation: 28+76=104 Current State: 35:[22, 8, 104], Operations: ['28+76=104'] Exploring Operation: 104/8=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 104/8=13 Current State: 35:[22, 13], Operations: ['28+76=104', '104/8=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 92, 89, 60, 3 ]
60
[ "92-89=3", "60+3=63", "63-3=60" ]
Current State: 60:[92, 89, 60, 3], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [60, 3, 3] Generated Node #2: [60, 3, 3] from Operation: 92-89=3 Current State: 60:[60, 3, 3], Operations: ['92-89=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,60 equal: Goal Reached Exploring Operation: 63-3=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 95, 53, 45, 28 ]
75
[ "95+53=148", "45+28=73", "148-73=75" ]
Current State: 75:[95, 53, 45, 28], Operations: [] Exploring Operation: 95+53=148, Resulting Numbers: [45, 28, 148] Generated Node #2: [45, 28, 148] from Operation: 95+53=148 Current State: 75:[45, 28, 148], Operations: ['95+53=148'] Exploring Operation: 45+28=73, Resulting Numbers: [148, 73] Generated Node #3: [148, 73] from Operation: 45+28=73 Current State: 75:[148, 73], Operations: ['95+53=148', '45+28=73'] Exploring Operation: 148-73=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 85, 77, 45, 54 ]
18
[ "85+77=162", "54-45=9", "162/9=18" ]
Current State: 18:[85, 77, 45, 54], Operations: [] Exploring Operation: 85+77=162, Resulting Numbers: [45, 54, 162] Generated Node #2: [45, 54, 162] from Operation: 85+77=162 Current State: 18:[45, 54, 162], Operations: ['85+77=162'] Exploring Operation: 54-45=9, Resulting Numbers: [162, 9] Generated Node #3: [162, 9] from Operation: 54-45=9 Current State: 18:[162, 9], Operations: ['85+77=162', '54-45=9'] Exploring Operation: 162/9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 81, 75, 16, 49 ]
71
[ "81-75=6", "16+49=65", "6+65=71" ]
Current State: 71:[81, 75, 16, 49], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [16, 49, 6] Generated Node #2: [16, 49, 6] from Operation: 81-75=6 Current State: 71:[16, 49, 6], Operations: ['81-75=6'] Exploring Operation: 16+49=65, Resulting Numbers: [6, 65] Generated Node #3: [6, 65] from Operation: 16+49=65 Current State: 71:[6, 65], Operations: ['81-75=6', '16+49=65'] Exploring Operation: 6+65=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 77, 27, 72 ]
61
[ "34-27=7", "77/7=11", "72-11=61" ]
Current State: 61:[34, 77, 27, 72], Operations: [] Exploring Operation: 34-27=7, Resulting Numbers: [77, 72, 7] Generated Node #2: [77, 72, 7] from Operation: 34-27=7 Current State: 61:[77, 72, 7], Operations: ['34-27=7'] Exploring Operation: 77/7=11, Resulting Numbers: [72, 11] Generated Node #3: [72, 11] from Operation: 77/7=11 Current State: 61:[72, 11], Operations: ['34-27=7', '77/7=11'] Exploring Operation: 72-11=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 24, 80, 56, 32 ]
80
[ "24+80=104", "56-32=24", "104-24=80" ]
Current State: 80:[24, 80, 56, 32], Operations: [] Exploring Operation: 24+80=104, Resulting Numbers: [56, 32, 104] Generated Node #2: [56, 32, 104] from Operation: 24+80=104 Current State: 80:[56, 32, 104], Operations: ['24+80=104'] Exploring Operation: 56-32=24, Resulting Numbers: [104, 24] Generated Node #3: [104, 24] from Operation: 56-32=24 Current State: 80:[104, 24], Operations: ['24+80=104', '56-32=24'] Exploring Operation: 104-24=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 87, 73, 49, 70 ]
54
[ "87-73=14", "70/14=5", "49+5=54" ]
Current State: 54:[87, 73, 49, 70], Operations: [] Exploring Operation: 87-73=14, Resulting Numbers: [49, 70, 14] Generated Node #2: [49, 70, 14] from Operation: 87-73=14 Current State: 54:[49, 70, 14], Operations: ['87-73=14'] Exploring Operation: 70/14=5, Resulting Numbers: [49, 5] Generated Node #3: [49, 5] from Operation: 70/14=5 Current State: 54:[49, 5], Operations: ['87-73=14', '70/14=5'] Exploring Operation: 49+5=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 75, 99, 98, 17 ]
16
[ "75+99=174", "98+174=272", "272/17=16" ]
Current State: 16:[75, 99, 98, 17], Operations: [] Exploring Operation: 75+99=174, Resulting Numbers: [98, 17, 174] Generated Node #2: [98, 17, 174] from Operation: 75+99=174 Current State: 16:[98, 17, 174], Operations: ['75+99=174'] Exploring Operation: 98+174=272, Resulting Numbers: [17, 272] Generated Node #3: [17, 272] from Operation: 98+174=272 Current State: 16:[17, 272], Operations: ['75+99=174', '98+174=272'] Exploring Operation: 272/17=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 47, 9, 89, 88 ]
74
[ "47+88=135", "135/9=15", "89-15=74" ]
Current State: 74:[47, 9, 89, 88], Operations: [] Exploring Operation: 47+88=135, Resulting Numbers: [9, 89, 135] Generated Node #2: [9, 89, 135] from Operation: 47+88=135 Current State: 74:[9, 89, 135], Operations: ['47+88=135'] Exploring Operation: 135/9=15, Resulting Numbers: [89, 15] Generated Node #3: [89, 15] from Operation: 135/9=15 Current State: 74:[89, 15], Operations: ['47+88=135', '135/9=15'] Exploring Operation: 89-15=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 98, 70, 65, 35 ]
31
[ "98-65=33", "70/35=2", "33-2=31" ]
Current State: 31:[98, 70, 65, 35], Operations: [] Exploring Operation: 98-65=33, Resulting Numbers: [70, 35, 33] Generated Node #2: [70, 35, 33] from Operation: 98-65=33 Current State: 31:[70, 35, 33], Operations: ['98-65=33'] Exploring Operation: 70/35=2, Resulting Numbers: [33, 2] Generated Node #3: [33, 2] from Operation: 70/35=2 Current State: 31:[33, 2], Operations: ['98-65=33', '70/35=2'] Exploring Operation: 33-2=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 3, 89, 67, 29 ]
23
[ "89+67=156", "156/3=52", "52-29=23" ]
Current State: 23:[3, 89, 67, 29], Operations: [] Exploring Operation: 89+67=156, Resulting Numbers: [3, 29, 156] Generated Node #2: [3, 29, 156] from Operation: 89+67=156 Current State: 23:[3, 29, 156], Operations: ['89+67=156'] Exploring Operation: 156/3=52, Resulting Numbers: [29, 52] Generated Node #3: [29, 52] from Operation: 156/3=52 Current State: 23:[29, 52], Operations: ['89+67=156', '156/3=52'] Exploring Operation: 52-29=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 20, 3, 37, 35 ]
12
[ "20*3=60", "37+35=72", "72-60=12" ]
Current State: 12:[20, 3, 37, 35], Operations: [] Exploring Operation: 20*3=60, Resulting Numbers: [37, 35, 60] Generated Node #2: [37, 35, 60] from Operation: 20*3=60 Current State: 12:[37, 35, 60], Operations: ['20*3=60'] Exploring Operation: 37+35=72, Resulting Numbers: [60, 72] Generated Node #3: [60, 72] from Operation: 37+35=72 Current State: 12:[60, 72], Operations: ['20*3=60', '37+35=72'] Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 46, 86, 10, 13 ]
63
[ "86-46=40", "10+13=23", "40+23=63" ]
Current State: 63:[46, 86, 10, 13], Operations: [] Exploring Operation: 86-46=40, Resulting Numbers: [10, 13, 40] Generated Node #2: [10, 13, 40] from Operation: 86-46=40 Current State: 63:[10, 13, 40], Operations: ['86-46=40'] Exploring Operation: 10+13=23, Resulting Numbers: [40, 23] Generated Node #3: [40, 23] from Operation: 10+13=23 Current State: 63:[40, 23], Operations: ['86-46=40', '10+13=23'] Exploring Operation: 40+23=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 51, 15, 45, 9 ]
26
[ "51*15=765", "765/45=17", "9+17=26" ]
Current State: 26:[51, 15, 45, 9], Operations: [] Exploring Operation: 51*15=765, Resulting Numbers: [45, 9, 765] Generated Node #2: [45, 9, 765] from Operation: 51*15=765 Current State: 26:[45, 9, 765], Operations: ['51*15=765'] Exploring Operation: 765/45=17, Resulting Numbers: [9, 17] Generated Node #3: [9, 17] from Operation: 765/45=17 Current State: 26:[9, 17], Operations: ['51*15=765', '765/45=17'] Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 31, 95, 61, 74 ]
51
[ "95-31=64", "74-61=13", "64-13=51" ]
Current State: 51:[31, 95, 61, 74], Operations: [] Exploring Operation: 95-31=64, Resulting Numbers: [61, 74, 64] Generated Node #2: [61, 74, 64] from Operation: 95-31=64 Current State: 51:[61, 74, 64], Operations: ['95-31=64'] Exploring Operation: 74-61=13, Resulting Numbers: [64, 13] Generated Node #3: [64, 13] from Operation: 74-61=13 Current State: 51:[64, 13], Operations: ['95-31=64', '74-61=13'] Exploring Operation: 64-13=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 73, 94, 61, 33 ]
73
[ "73+94=167", "61+33=94", "167-94=73" ]
Current State: 73:[73, 94, 61, 33], Operations: [] Exploring Operation: 73+94=167, Resulting Numbers: [61, 33, 167] Generated Node #2: [61, 33, 167] from Operation: 73+94=167 Current State: 73:[61, 33, 167], Operations: ['73+94=167'] Exploring Operation: 61+33=94, Resulting Numbers: [167, 94] Generated Node #3: [167, 94] from Operation: 61+33=94 Current State: 73:[167, 94], Operations: ['73+94=167', '61+33=94'] Exploring Operation: 167-94=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 8, 35, 8, 8 ]
43
[ "8+35=43", "8-8=0", "43+0=43" ]
Current State: 43:[8, 35, 8, 8], Operations: [] Exploring Operation: 8+35=43, Resulting Numbers: [43] 43,43 equal: Goal Reached Exploring Operation: 8-8=0, Resulting Numbers: [43, 0] Generated Node #2: [43, 0] from Operation: 8-8=0 Current State: 43:[43, 0], Operations: ['8-8=0'] Exploring Operation: 43+0=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 25, 56, 28, 28 ]
26
[ "56-28=28", "28/28=1", "25+1=26" ]
Current State: 26:[25, 56, 28, 28], Operations: [] Exploring Operation: 56-28=28, Resulting Numbers: [25, 28] Generated Node #2: [25, 28] from Operation: 56-28=28 Current State: 26:[25, 28], Operations: ['56-28=28'] Exploring Operation: 28/28=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 28/28=1 Current State: 26:[25, 1], Operations: ['56-28=28', '28/28=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 21, 63, 90, 69 ]
64
[ "90-21=69", "69/69=1", "63+1=64" ]
Current State: 64:[21, 63, 90, 69], Operations: [] Exploring Operation: 90-21=69, Resulting Numbers: [63, 69, 69] Generated Node #2: [63, 69, 69] from Operation: 90-21=69 Current State: 64:[63, 69, 69], Operations: ['90-21=69'] Exploring Operation: 69/69=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 69/69=1 Current State: 64:[63, 1], Operations: ['90-21=69', '69/69=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 2, 19, 26, 68 ]
73
[ "2+19=21", "26+68=94", "94-21=73" ]
Current State: 73:[2, 19, 26, 68], Operations: [] Exploring Operation: 2+19=21, Resulting Numbers: [26, 68, 21] Generated Node #2: [26, 68, 21] from Operation: 2+19=21 Current State: 73:[26, 68, 21], Operations: ['2+19=21'] Exploring Operation: 26+68=94, Resulting Numbers: [21, 94] Generated Node #3: [21, 94] from Operation: 26+68=94 Current State: 73:[21, 94], Operations: ['2+19=21', '26+68=94'] Exploring Operation: 94-21=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 11, 20, 60, 63 ]
53
[ "20-11=9", "63/9=7", "60-7=53" ]
Current State: 53:[11, 20, 60, 63], Operations: [] Exploring Operation: 20-11=9, Resulting Numbers: [60, 63, 9] Generated Node #2: [60, 63, 9] from Operation: 20-11=9 Current State: 53:[60, 63, 9], Operations: ['20-11=9'] Exploring Operation: 63/9=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 63/9=7 Current State: 53:[60, 7], Operations: ['20-11=9', '63/9=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 14, 20, 50, 44 ]
40
[ "14+20=34", "50-44=6", "34+6=40" ]
Current State: 40:[14, 20, 50, 44], Operations: [] Exploring Operation: 14+20=34, Resulting Numbers: [50, 44, 34] Generated Node #2: [50, 44, 34] from Operation: 14+20=34 Current State: 40:[50, 44, 34], Operations: ['14+20=34'] Exploring Operation: 50-44=6, Resulting Numbers: [34, 6] Generated Node #3: [34, 6] from Operation: 50-44=6 Current State: 40:[34, 6], Operations: ['14+20=34', '50-44=6'] Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 53, 54, 6, 96 ]
78
[ "54+96=150", "150/6=25", "53+25=78" ]
Current State: 78:[53, 54, 6, 96], Operations: [] Exploring Operation: 54+96=150, Resulting Numbers: [53, 6, 150] Generated Node #2: [53, 6, 150] from Operation: 54+96=150 Current State: 78:[53, 6, 150], Operations: ['54+96=150'] Exploring Operation: 150/6=25, Resulting Numbers: [53, 25] Generated Node #3: [53, 25] from Operation: 150/6=25 Current State: 78:[53, 25], Operations: ['54+96=150', '150/6=25'] Exploring Operation: 53+25=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 61, 67, 61, 84 ]
84
[ "61-61=0", "67*0=0", "84+0=84" ]
Current State: 84:[61, 67, 61, 84], Operations: [] Exploring Operation: 61-61=0, Resulting Numbers: [67, 84, 0] Generated Node #2: [67, 84, 0] from Operation: 61-61=0 Current State: 84:[67, 84, 0], Operations: ['61-61=0'] Exploring Operation: 67*0=0, Resulting Numbers: [84, 0] Generated Node #3: [84, 0] from Operation: 67*0=0 Current State: 84:[84, 0], Operations: ['61-61=0', '67*0=0'] Exploring Operation: 84+0=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 5, 71, 34, 36 ]
57
[ "71+34=105", "105/5=21", "36+21=57" ]
Current State: 57:[5, 71, 34, 36], Operations: [] Exploring Operation: 71+34=105, Resulting Numbers: [5, 36, 105] Generated Node #2: [5, 36, 105] from Operation: 71+34=105 Current State: 57:[5, 36, 105], Operations: ['71+34=105'] Exploring Operation: 105/5=21, Resulting Numbers: [36, 21] Generated Node #3: [36, 21] from Operation: 105/5=21 Current State: 57:[36, 21], Operations: ['71+34=105', '105/5=21'] Exploring Operation: 36+21=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 83, 5, 45, 58 ]
16
[ "83-58=25", "45/5=9", "25-9=16" ]
Current State: 16:[83, 5, 45, 58], Operations: [] Exploring Operation: 83-58=25, Resulting Numbers: [5, 45, 25] Generated Node #2: [5, 45, 25] from Operation: 83-58=25 Current State: 16:[5, 45, 25], Operations: ['83-58=25'] Exploring Operation: 45/5=9, Resulting Numbers: [25, 9] Generated Node #3: [25, 9] from Operation: 45/5=9 Current State: 16:[25, 9], Operations: ['83-58=25', '45/5=9'] Exploring Operation: 25-9=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 39, 49, 14, 2 ]
22
[ "49-39=10", "14-2=12", "10+12=22" ]
Current State: 22:[39, 49, 14, 2], Operations: [] Exploring Operation: 49-39=10, Resulting Numbers: [14, 2, 10] Generated Node #2: [14, 2, 10] from Operation: 49-39=10 Current State: 22:[14, 2, 10], Operations: ['49-39=10'] Exploring Operation: 14-2=12, Resulting Numbers: [10, 12] Generated Node #3: [10, 12] from Operation: 14-2=12 Current State: 22:[10, 12], Operations: ['49-39=10', '14-2=12'] Exploring Operation: 10+12=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 91, 6, 15, 55 ]
55
[ "6*15=90", "91-90=1", "55*1=55" ]
Current State: 55:[91, 6, 15, 55], Operations: [] Exploring Operation: 6*15=90, Resulting Numbers: [91, 55, 90] Generated Node #2: [91, 55, 90] from Operation: 6*15=90 Current State: 55:[91, 55, 90], Operations: ['6*15=90'] Exploring Operation: 91-90=1, Resulting Numbers: [55, 1] Generated Node #3: [55, 1] from Operation: 91-90=1 Current State: 55:[55, 1], Operations: ['6*15=90', '91-90=1'] Exploring Operation: 55*1=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 84, 16, 75, 55 ]
62
[ "84-16=68", "75+55=130", "130-68=62" ]
Current State: 62:[84, 16, 75, 55], Operations: [] Exploring Operation: 84-16=68, Resulting Numbers: [75, 55, 68] Generated Node #2: [75, 55, 68] from Operation: 84-16=68 Current State: 62:[75, 55, 68], Operations: ['84-16=68'] Exploring Operation: 75+55=130, Resulting Numbers: [68, 130] Generated Node #3: [68, 130] from Operation: 75+55=130 Current State: 62:[68, 130], Operations: ['84-16=68', '75+55=130'] Exploring Operation: 130-68=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 36, 71, 77, 84 ]
28
[ "71-36=35", "84-77=7", "35-7=28" ]
Current State: 28:[36, 71, 77, 84], Operations: [] Exploring Operation: 71-36=35, Resulting Numbers: [77, 84, 35] Generated Node #2: [77, 84, 35] from Operation: 71-36=35 Current State: 28:[77, 84, 35], Operations: ['71-36=35'] Exploring Operation: 84-77=7, Resulting Numbers: [35, 7] Generated Node #3: [35, 7] from Operation: 84-77=7 Current State: 28:[35, 7], Operations: ['71-36=35', '84-77=7'] Exploring Operation: 35-7=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 21, 58, 52, 2 ]
43
[ "21+52=73", "58*2=116", "116-73=43" ]
Current State: 43:[21, 58, 52, 2], Operations: [] Exploring Operation: 21+52=73, Resulting Numbers: [58, 2, 73] Generated Node #2: [58, 2, 73] from Operation: 21+52=73 Current State: 43:[58, 2, 73], Operations: ['21+52=73'] Exploring Operation: 58*2=116, Resulting Numbers: [73, 116] Generated Node #3: [73, 116] from Operation: 58*2=116 Current State: 43:[73, 116], Operations: ['21+52=73', '58*2=116'] Exploring Operation: 116-73=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 59, 15, 67, 25 ]
32
[ "59+15=74", "67-25=42", "74-42=32" ]
Current State: 32:[59, 15, 67, 25], Operations: [] Exploring Operation: 59+15=74, Resulting Numbers: [67, 25, 74] Generated Node #2: [67, 25, 74] from Operation: 59+15=74 Current State: 32:[67, 25, 74], Operations: ['59+15=74'] Exploring Operation: 67-25=42, Resulting Numbers: [74, 42] Generated Node #3: [74, 42] from Operation: 67-25=42 Current State: 32:[74, 42], Operations: ['59+15=74', '67-25=42'] Exploring Operation: 74-42=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 88, 80, 75, 75 ]
18
[ "88+80=168", "75+75=150", "168-150=18" ]
Current State: 18:[88, 80, 75, 75], Operations: [] Exploring Operation: 88+80=168, Resulting Numbers: [75, 75, 168] Generated Node #2: [75, 75, 168] from Operation: 88+80=168 Current State: 18:[75, 75, 168], Operations: ['88+80=168'] Exploring Operation: 75+75=150, Resulting Numbers: [168, 150] Generated Node #3: [168, 150] from Operation: 75+75=150 Current State: 18:[168, 150], Operations: ['88+80=168', '75+75=150'] Exploring Operation: 168-150=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 91, 84, 28 ]
71
[ "4*91=364", "364/28=13", "84-13=71" ]
Current State: 71:[4, 91, 84, 28], Operations: [] Exploring Operation: 4*91=364, Resulting Numbers: [84, 28, 364] Generated Node #2: [84, 28, 364] from Operation: 4*91=364 Current State: 71:[84, 28, 364], Operations: ['4*91=364'] Exploring Operation: 364/28=13, Resulting Numbers: [84, 13] Generated Node #3: [84, 13] from Operation: 364/28=13 Current State: 71:[84, 13], Operations: ['4*91=364', '364/28=13'] Exploring Operation: 84-13=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4