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
[ 55, 60, 41, 60 ]
97
[ "55+41=96", "60/60=1", "96+1=97" ]
Current State: 97:[55, 60, 41, 60], Operations: [] Exploring Operation: 55+41=96, Resulting Numbers: [60, 60, 96] Generated Node #2: [60, 60, 96] from Operation: 55+41=96 Current State: 97:[60, 60, 96], Operations: ['55+41=96'] Exploring Operation: 60/60=1, Resulting Numbers: [96, 1] Generated Node #3: [96, 1] from Operation: 60/60=1 Current State: 97:[96, 1], Operations: ['55+41=96', '60/60=1'] Exploring Operation: 96+1=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 26, 98, 11, 7 ]
95
[ "26+7=33", "33/11=3", "98-3=95" ]
Current State: 95:[26, 98, 11, 7], Operations: [] Exploring Operation: 26+7=33, Resulting Numbers: [98, 11, 33] Generated Node #2: [98, 11, 33] from Operation: 26+7=33 Current State: 95:[98, 11, 33], Operations: ['26+7=33'] Exploring Operation: 33/11=3, Resulting Numbers: [98, 3] Generated Node #3: [98, 3] from Operation: 33/11=3 Current State: 95:[98, 3], Operations: ['26+7=33', '33/11=3'] Exploring Operation: 98-3=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 49, 83, 66, 68 ]
64
[ "83-49=34", "68/34=2", "66-2=64" ]
Current State: 64:[49, 83, 66, 68], Operations: [] Exploring Operation: 83-49=34, Resulting Numbers: [66, 68, 34] Generated Node #2: [66, 68, 34] from Operation: 83-49=34 Current State: 64:[66, 68, 34], Operations: ['83-49=34'] Exploring Operation: 68/34=2, Resulting Numbers: [66, 2] Generated Node #3: [66, 2] from Operation: 68/34=2 Current State: 64:[66, 2], Operations: ['83-49=34', '68/34=2'] Exploring Operation: 66-2=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 20, 17, 53, 3 ]
87
[ "20+17=37", "53-3=50", "37+50=87" ]
Current State: 87:[20, 17, 53, 3], Operations: [] Exploring Operation: 20+17=37, Resulting Numbers: [53, 3, 37] Generated Node #2: [53, 3, 37] from Operation: 20+17=37 Current State: 87:[53, 3, 37], Operations: ['20+17=37'] Exploring Operation: 53-3=50, Resulting Numbers: [37, 50] Generated Node #3: [37, 50] from Operation: 53-3=50 Current State: 87:[37, 50], Operations: ['20+17=37', '53-3=50'] Exploring Operation: 37+50=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 99, 39, 20, 57 ]
97
[ "99-39=60", "57-20=37", "60+37=97" ]
Current State: 97:[99, 39, 20, 57], Operations: [] Exploring Operation: 99-39=60, Resulting Numbers: [20, 57, 60] Generated Node #2: [20, 57, 60] from Operation: 99-39=60 Current State: 97:[20, 57, 60], Operations: ['99-39=60'] Exploring Operation: 57-20=37, Resulting Numbers: [60, 37] Generated Node #3: [60, 37] from Operation: 57-20=37 Current State: 97:[60, 37], Operations: ['99-39=60', '57-20=37'] Exploring Operation: 60+37=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 13, 90, 13, 34 ]
82
[ "13+90=103", "34-13=21", "103-21=82" ]
Current State: 82:[13, 90, 13, 34], Operations: [] Exploring Operation: 13+90=103, Resulting Numbers: [34, 103] Generated Node #2: [34, 103] from Operation: 13+90=103 Current State: 82:[34, 103], Operations: ['13+90=103'] Exploring Operation: 34-13=21, Resulting Numbers: [103, 21] Generated Node #3: [103, 21] from Operation: 34-13=21 Current State: 82:[103, 21], Operations: ['13+90=103', '34-13=21'] Exploring Operation: 103-21=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 77, 39, 9, 53 ]
82
[ "77-39=38", "53-9=44", "38+44=82" ]
Current State: 82:[77, 39, 9, 53], Operations: [] Exploring Operation: 77-39=38, Resulting Numbers: [9, 53, 38] Generated Node #2: [9, 53, 38] from Operation: 77-39=38 Current State: 82:[9, 53, 38], Operations: ['77-39=38'] Exploring Operation: 53-9=44, Resulting Numbers: [38, 44] Generated Node #3: [38, 44] from Operation: 53-9=44 Current State: 82:[38, 44], Operations: ['77-39=38', '53-9=44'] Exploring Operation: 38+44=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 56, 65, 8, 21 ]
51
[ "65-56=9", "8*9=72", "72-21=51" ]
Current State: 51:[56, 65, 8, 21], Operations: [] Exploring Operation: 65-56=9, Resulting Numbers: [8, 21, 9] Generated Node #2: [8, 21, 9] from Operation: 65-56=9 Current State: 51:[8, 21, 9], Operations: ['65-56=9'] Exploring Operation: 8*9=72, Resulting Numbers: [21, 72] Generated Node #3: [21, 72] from Operation: 8*9=72 Current State: 51:[21, 72], Operations: ['65-56=9', '8*9=72'] Exploring Operation: 72-21=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 53, 73, 63, 11 ]
54
[ "73-53=20", "63+11=74", "74-20=54" ]
Current State: 54:[53, 73, 63, 11], Operations: [] Exploring Operation: 73-53=20, Resulting Numbers: [63, 11, 20] Generated Node #2: [63, 11, 20] from Operation: 73-53=20 Current State: 54:[63, 11, 20], Operations: ['73-53=20'] Exploring Operation: 63+11=74, Resulting Numbers: [20, 74] Generated Node #3: [20, 74] from Operation: 63+11=74 Current State: 54:[20, 74], Operations: ['73-53=20', '63+11=74'] Exploring Operation: 74-20=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 55, 22, 88, 90 ]
79
[ "55+22=77", "90-88=2", "77+2=79" ]
Current State: 79:[55, 22, 88, 90], Operations: [] Exploring Operation: 55+22=77, Resulting Numbers: [88, 90, 77] Generated Node #2: [88, 90, 77] from Operation: 55+22=77 Current State: 79:[88, 90, 77], Operations: ['55+22=77'] Exploring Operation: 90-88=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 90-88=2 Current State: 79:[77, 2], Operations: ['55+22=77', '90-88=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 96, 96, 44, 39 ]
39
[ "96-96=0", "44*0=0", "39+0=39" ]
Current State: 39:[96, 96, 44, 39], Operations: [] Exploring Operation: 96-96=0, Resulting Numbers: [44, 39, 0] Generated Node #2: [44, 39, 0] from Operation: 96-96=0 Current State: 39:[44, 39, 0], Operations: ['96-96=0'] Exploring Operation: 44*0=0, Resulting Numbers: [39, 0] Generated Node #3: [39, 0] from Operation: 44*0=0 Current State: 39:[39, 0], Operations: ['96-96=0', '44*0=0'] Exploring Operation: 39+0=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 64, 2, 59, 17 ]
89
[ "64+59=123", "2*17=34", "123-34=89" ]
Current State: 89:[64, 2, 59, 17], Operations: [] Exploring Operation: 64+59=123, Resulting Numbers: [2, 17, 123] Generated Node #2: [2, 17, 123] from Operation: 64+59=123 Current State: 89:[2, 17, 123], Operations: ['64+59=123'] Exploring Operation: 2*17=34, Resulting Numbers: [123, 34] Generated Node #3: [123, 34] from Operation: 2*17=34 Current State: 89:[123, 34], Operations: ['64+59=123', '2*17=34'] Exploring Operation: 123-34=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 33, 71, 18, 11 ]
31
[ "71-33=38", "18-11=7", "38-7=31" ]
Current State: 31:[33, 71, 18, 11], Operations: [] Exploring Operation: 71-33=38, Resulting Numbers: [18, 11, 38] Generated Node #2: [18, 11, 38] from Operation: 71-33=38 Current State: 31:[18, 11, 38], Operations: ['71-33=38'] Exploring Operation: 18-11=7, Resulting Numbers: [38, 7] Generated Node #3: [38, 7] from Operation: 18-11=7 Current State: 31:[38, 7], Operations: ['71-33=38', '18-11=7'] Exploring Operation: 38-7=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 65, 8, 77, 31 ]
65
[ "77-65=12", "8*12=96", "96-31=65" ]
Current State: 65:[65, 8, 77, 31], Operations: [] Exploring Operation: 77-65=12, Resulting Numbers: [8, 31, 12] Generated Node #2: [8, 31, 12] from Operation: 77-65=12 Current State: 65:[8, 31, 12], Operations: ['77-65=12'] Exploring Operation: 8*12=96, Resulting Numbers: [31, 96] Generated Node #3: [31, 96] from Operation: 8*12=96 Current State: 65:[31, 96], Operations: ['77-65=12', '8*12=96'] Exploring Operation: 96-31=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 25, 22, 19, 71 ]
99
[ "25+22=47", "71-19=52", "47+52=99" ]
Current State: 99:[25, 22, 19, 71], Operations: [] Exploring Operation: 25+22=47, Resulting Numbers: [19, 71, 47] Generated Node #2: [19, 71, 47] from Operation: 25+22=47 Current State: 99:[19, 71, 47], Operations: ['25+22=47'] Exploring Operation: 71-19=52, Resulting Numbers: [47, 52] Generated Node #3: [47, 52] from Operation: 71-19=52 Current State: 99:[47, 52], Operations: ['25+22=47', '71-19=52'] Exploring Operation: 47+52=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 49, 6, 66, 30 ]
23
[ "49+66=115", "30/6=5", "115/5=23" ]
Current State: 23:[49, 6, 66, 30], Operations: [] Exploring Operation: 49+66=115, Resulting Numbers: [6, 30, 115] Generated Node #2: [6, 30, 115] from Operation: 49+66=115 Current State: 23:[6, 30, 115], Operations: ['49+66=115'] Exploring Operation: 30/6=5, Resulting Numbers: [115, 5] Generated Node #3: [115, 5] from Operation: 30/6=5 Current State: 23:[115, 5], Operations: ['49+66=115', '30/6=5'] Exploring Operation: 115/5=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 49, 90, 85, 13 ]
92
[ "85+13=98", "98/49=2", "90+2=92" ]
Current State: 92:[49, 90, 85, 13], Operations: [] Exploring Operation: 85+13=98, Resulting Numbers: [49, 90, 98] Generated Node #2: [49, 90, 98] from Operation: 85+13=98 Current State: 92:[49, 90, 98], Operations: ['85+13=98'] Exploring Operation: 98/49=2, Resulting Numbers: [90, 2] Generated Node #3: [90, 2] from Operation: 98/49=2 Current State: 92:[90, 2], Operations: ['85+13=98', '98/49=2'] Exploring Operation: 90+2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 73, 84, 1, 59 ]
69
[ "84-73=11", "59-1=58", "11+58=69" ]
Current State: 69:[73, 84, 1, 59], Operations: [] Exploring Operation: 84-73=11, Resulting Numbers: [1, 59, 11] Generated Node #2: [1, 59, 11] from Operation: 84-73=11 Current State: 69:[1, 59, 11], Operations: ['84-73=11'] Exploring Operation: 59-1=58, Resulting Numbers: [11, 58] Generated Node #3: [11, 58] from Operation: 59-1=58 Current State: 69:[11, 58], Operations: ['84-73=11', '59-1=58'] Exploring Operation: 11+58=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 20, 37, 72, 97 ]
75
[ "97-37=60", "60/20=3", "72+3=75" ]
Current State: 75:[20, 37, 72, 97], Operations: [] Exploring Operation: 97-37=60, Resulting Numbers: [20, 72, 60] Generated Node #2: [20, 72, 60] from Operation: 97-37=60 Current State: 75:[20, 72, 60], Operations: ['97-37=60'] Exploring Operation: 60/20=3, Resulting Numbers: [72, 3] Generated Node #3: [72, 3] from Operation: 60/20=3 Current State: 75:[72, 3], Operations: ['97-37=60', '60/20=3'] Exploring Operation: 72+3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 46, 6, 41, 13 ]
55
[ "41+13=54", "54/6=9", "46+9=55" ]
Current State: 55:[46, 6, 41, 13], Operations: [] Exploring Operation: 41+13=54, Resulting Numbers: [46, 6, 54] Generated Node #2: [46, 6, 54] from Operation: 41+13=54 Current State: 55:[46, 6, 54], Operations: ['41+13=54'] Exploring Operation: 54/6=9, Resulting Numbers: [46, 9] Generated Node #3: [46, 9] from Operation: 54/6=9 Current State: 55:[46, 9], Operations: ['41+13=54', '54/6=9'] Exploring Operation: 46+9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 24, 23, 54, 67 ]
60
[ "24+23=47", "67-54=13", "47+13=60" ]
Current State: 60:[24, 23, 54, 67], Operations: [] Exploring Operation: 24+23=47, Resulting Numbers: [54, 67, 47] Generated Node #2: [54, 67, 47] from Operation: 24+23=47 Current State: 60:[54, 67, 47], Operations: ['24+23=47'] Exploring Operation: 67-54=13, Resulting Numbers: [47, 13] Generated Node #3: [47, 13] from Operation: 67-54=13 Current State: 60:[47, 13], Operations: ['24+23=47', '67-54=13'] Exploring Operation: 47+13=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 75, 79, 8, 82 ]
15
[ "79+8=87", "87-82=5", "75/5=15" ]
Current State: 15:[75, 79, 8, 82], Operations: [] Exploring Operation: 79+8=87, Resulting Numbers: [75, 82, 87] Generated Node #2: [75, 82, 87] from Operation: 79+8=87 Current State: 15:[75, 82, 87], Operations: ['79+8=87'] Exploring Operation: 87-82=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 87-82=5 Current State: 15:[75, 5], Operations: ['79+8=87', '87-82=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 16, 5, 37, 76 ]
93
[ "16+76=92", "5*37=185", "185-92=93" ]
Current State: 93:[16, 5, 37, 76], Operations: [] Exploring Operation: 16+76=92, Resulting Numbers: [5, 37, 92] Generated Node #2: [5, 37, 92] from Operation: 16+76=92 Current State: 93:[5, 37, 92], Operations: ['16+76=92'] Exploring Operation: 5*37=185, Resulting Numbers: [92, 185] Generated Node #3: [92, 185] from Operation: 5*37=185 Current State: 93:[92, 185], Operations: ['16+76=92', '5*37=185'] Exploring Operation: 185-92=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 70, 82, 10, 43 ]
86
[ "82-70=12", "12-10=2", "43*2=86" ]
Current State: 86:[70, 82, 10, 43], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [10, 43, 12] Generated Node #2: [10, 43, 12] from Operation: 82-70=12 Current State: 86:[10, 43, 12], Operations: ['82-70=12'] Exploring Operation: 12-10=2, Resulting Numbers: [43, 2] Generated Node #3: [43, 2] from Operation: 12-10=2 Current State: 86:[43, 2], Operations: ['82-70=12', '12-10=2'] Exploring Operation: 43*2=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 97, 70, 54, 55 ]
53
[ "97-70=27", "54/27=2", "55-2=53" ]
Current State: 53:[97, 70, 54, 55], Operations: [] Exploring Operation: 97-70=27, Resulting Numbers: [54, 55, 27] Generated Node #2: [54, 55, 27] from Operation: 97-70=27 Current State: 53:[54, 55, 27], Operations: ['97-70=27'] Exploring Operation: 54/27=2, Resulting Numbers: [55, 2] Generated Node #3: [55, 2] from Operation: 54/27=2 Current State: 53:[55, 2], Operations: ['97-70=27', '54/27=2'] Exploring Operation: 55-2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 5, 80, 72, 74 ]
61
[ "5+80=85", "72+74=146", "146-85=61" ]
Current State: 61:[5, 80, 72, 74], Operations: [] Exploring Operation: 5+80=85, Resulting Numbers: [72, 74, 85] Generated Node #2: [72, 74, 85] from Operation: 5+80=85 Current State: 61:[72, 74, 85], Operations: ['5+80=85'] Exploring Operation: 72+74=146, Resulting Numbers: [85, 146] Generated Node #3: [85, 146] from Operation: 72+74=146 Current State: 61:[85, 146], Operations: ['5+80=85', '72+74=146'] Exploring Operation: 146-85=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 2, 12, 10, 46 ]
96
[ "2+46=48", "12-10=2", "48*2=96" ]
Current State: 96:[2, 12, 10, 46], Operations: [] Exploring Operation: 2+46=48, Resulting Numbers: [12, 10, 48] Generated Node #2: [12, 10, 48] from Operation: 2+46=48 Current State: 96:[12, 10, 48], Operations: ['2+46=48'] Exploring Operation: 12-10=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 12-10=2 Current State: 96:[48, 2], Operations: ['2+46=48', '12-10=2'] Exploring Operation: 48*2=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 20, 8, 7, 43 ]
72
[ "20+43=63", "8*63=504", "504/7=72" ]
Current State: 72:[20, 8, 7, 43], Operations: [] Exploring Operation: 20+43=63, Resulting Numbers: [8, 7, 63] Generated Node #2: [8, 7, 63] from Operation: 20+43=63 Current State: 72:[8, 7, 63], Operations: ['20+43=63'] Exploring Operation: 8*63=504, Resulting Numbers: [7, 504] Generated Node #3: [7, 504] from Operation: 8*63=504 Current State: 72:[7, 504], Operations: ['20+43=63', '8*63=504'] Exploring Operation: 504/7=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 49, 90, 21, 5 ]
32
[ "49+90=139", "21+139=160", "160/5=32" ]
Current State: 32:[49, 90, 21, 5], Operations: [] Exploring Operation: 49+90=139, Resulting Numbers: [21, 5, 139] Generated Node #2: [21, 5, 139] from Operation: 49+90=139 Current State: 32:[21, 5, 139], Operations: ['49+90=139'] Exploring Operation: 21+139=160, Resulting Numbers: [5, 160] Generated Node #3: [5, 160] from Operation: 21+139=160 Current State: 32:[5, 160], Operations: ['49+90=139', '21+139=160'] Exploring Operation: 160/5=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 77, 24, 24, 9 ]
69
[ "77-9=68", "24/24=1", "68+1=69" ]
Current State: 69:[77, 24, 24, 9], Operations: [] Exploring Operation: 77-9=68, Resulting Numbers: [24, 24, 68] Generated Node #2: [24, 24, 68] from Operation: 77-9=68 Current State: 69:[24, 24, 68], Operations: ['77-9=68'] Exploring Operation: 24/24=1, Resulting Numbers: [68, 1] Generated Node #3: [68, 1] from Operation: 24/24=1 Current State: 69:[68, 1], Operations: ['77-9=68', '24/24=1'] Exploring Operation: 68+1=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 61, 66, 37, 7 ]
39
[ "66-61=5", "37+7=44", "44-5=39" ]
Current State: 39:[61, 66, 37, 7], Operations: [] Exploring Operation: 66-61=5, Resulting Numbers: [37, 7, 5] Generated Node #2: [37, 7, 5] from Operation: 66-61=5 Current State: 39:[37, 7, 5], Operations: ['66-61=5'] Exploring Operation: 37+7=44, Resulting Numbers: [5, 44] Generated Node #3: [5, 44] from Operation: 37+7=44 Current State: 39:[5, 44], Operations: ['66-61=5', '37+7=44'] Exploring Operation: 44-5=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 59, 44, 79 ]
16
[ "79-59=20", "44*20=880", "880/55=16" ]
Current State: 16:[55, 59, 44, 79], Operations: [] Exploring Operation: 79-59=20, Resulting Numbers: [55, 44, 20] Generated Node #2: [55, 44, 20] from Operation: 79-59=20 Current State: 16:[55, 44, 20], Operations: ['79-59=20'] Exploring Operation: 44*20=880, Resulting Numbers: [55, 880] Generated Node #3: [55, 880] from Operation: 44*20=880 Current State: 16:[55, 880], Operations: ['79-59=20', '44*20=880'] Exploring Operation: 880/55=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 70, 70, 97, 1 ]
99
[ "70/70=1", "97+1=98", "1+98=99" ]
Current State: 99:[70, 70, 97, 1], Operations: [] Exploring Operation: 70/70=1, Resulting Numbers: [97, 1, 1] Generated Node #2: [97, 1, 1] from Operation: 70/70=1 Current State: 99:[97, 1, 1], Operations: ['70/70=1'] Exploring Operation: 97+1=98, Resulting Numbers: [98] 98,99 equal: Goal Reached Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 69, 80, 55, 50 ]
10
[ "80-69=11", "55/11=5", "50/5=10" ]
Current State: 10:[69, 80, 55, 50], Operations: [] Exploring Operation: 80-69=11, Resulting Numbers: [55, 50, 11] Generated Node #2: [55, 50, 11] from Operation: 80-69=11 Current State: 10:[55, 50, 11], Operations: ['80-69=11'] Exploring Operation: 55/11=5, Resulting Numbers: [50, 5] Generated Node #3: [50, 5] from Operation: 55/11=5 Current State: 10:[50, 5], Operations: ['80-69=11', '55/11=5'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 97, 17, 4, 36 ]
89
[ "97-17=80", "36/4=9", "80+9=89" ]
Current State: 89:[97, 17, 4, 36], Operations: [] Exploring Operation: 97-17=80, Resulting Numbers: [4, 36, 80] Generated Node #2: [4, 36, 80] from Operation: 97-17=80 Current State: 89:[4, 36, 80], Operations: ['97-17=80'] Exploring Operation: 36/4=9, Resulting Numbers: [80, 9] Generated Node #3: [80, 9] from Operation: 36/4=9 Current State: 89:[80, 9], Operations: ['97-17=80', '36/4=9'] Exploring Operation: 80+9=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 27, 17, 85, 82 ]
41
[ "27+17=44", "85-82=3", "44-3=41" ]
Current State: 41:[27, 17, 85, 82], Operations: [] Exploring Operation: 27+17=44, Resulting Numbers: [85, 82, 44] Generated Node #2: [85, 82, 44] from Operation: 27+17=44 Current State: 41:[85, 82, 44], Operations: ['27+17=44'] Exploring Operation: 85-82=3, Resulting Numbers: [44, 3] Generated Node #3: [44, 3] from Operation: 85-82=3 Current State: 41:[44, 3], Operations: ['27+17=44', '85-82=3'] Exploring Operation: 44-3=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 38, 40, 21, 7 ]
50
[ "38+40=78", "21+7=28", "78-28=50" ]
Current State: 50:[38, 40, 21, 7], Operations: [] Exploring Operation: 38+40=78, Resulting Numbers: [21, 7, 78] Generated Node #2: [21, 7, 78] from Operation: 38+40=78 Current State: 50:[21, 7, 78], Operations: ['38+40=78'] Exploring Operation: 21+7=28, Resulting Numbers: [78, 28] Generated Node #3: [78, 28] from Operation: 21+7=28 Current State: 50:[78, 28], Operations: ['38+40=78', '21+7=28'] Exploring Operation: 78-28=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 87, 67, 2, 29 ]
69
[ "87-67=20", "2*20=40", "29+40=69" ]
Current State: 69:[87, 67, 2, 29], Operations: [] Exploring Operation: 87-67=20, Resulting Numbers: [2, 29, 20] Generated Node #2: [2, 29, 20] from Operation: 87-67=20 Current State: 69:[2, 29, 20], Operations: ['87-67=20'] Exploring Operation: 2*20=40, Resulting Numbers: [29, 40] Generated Node #3: [29, 40] from Operation: 2*20=40 Current State: 69:[29, 40], Operations: ['87-67=20', '2*20=40'] Exploring Operation: 29+40=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 13, 17, 95, 93 ]
15
[ "13+17=30", "95-93=2", "30/2=15" ]
Current State: 15:[13, 17, 95, 93], Operations: [] Exploring Operation: 13+17=30, Resulting Numbers: [95, 93, 30] Generated Node #2: [95, 93, 30] from Operation: 13+17=30 Current State: 15:[95, 93, 30], Operations: ['13+17=30'] Exploring Operation: 95-93=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 95-93=2 Current State: 15:[30, 2], Operations: ['13+17=30', '95-93=2'] Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 17, 79, 69, 81 ]
89
[ "79-69=10", "17*10=170", "170-81=89" ]
Current State: 89:[17, 79, 69, 81], Operations: [] Exploring Operation: 79-69=10, Resulting Numbers: [17, 81, 10] Generated Node #2: [17, 81, 10] from Operation: 79-69=10 Current State: 89:[17, 81, 10], Operations: ['79-69=10'] Exploring Operation: 17*10=170, Resulting Numbers: [81, 170] Generated Node #3: [81, 170] from Operation: 17*10=170 Current State: 89:[81, 170], Operations: ['79-69=10', '17*10=170'] Exploring Operation: 170-81=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 67, 75, 78, 14 ]
34
[ "75-67=8", "14*8=112", "112-78=34" ]
Current State: 34:[67, 75, 78, 14], Operations: [] Exploring Operation: 75-67=8, Resulting Numbers: [78, 14, 8] Generated Node #2: [78, 14, 8] from Operation: 75-67=8 Current State: 34:[78, 14, 8], Operations: ['75-67=8'] Exploring Operation: 14*8=112, Resulting Numbers: [78, 112] Generated Node #3: [78, 112] from Operation: 14*8=112 Current State: 34:[78, 112], Operations: ['75-67=8', '14*8=112'] Exploring Operation: 112-78=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 47, 9, 29, 84 ]
57
[ "47+9=56", "29+84=113", "113-56=57" ]
Current State: 57:[47, 9, 29, 84], Operations: [] Exploring Operation: 47+9=56, Resulting Numbers: [29, 84, 56] Generated Node #2: [29, 84, 56] from Operation: 47+9=56 Current State: 57:[29, 84, 56], Operations: ['47+9=56'] Exploring Operation: 29+84=113, Resulting Numbers: [56, 113] Generated Node #3: [56, 113] from Operation: 29+84=113 Current State: 57:[56, 113], Operations: ['47+9=56', '29+84=113'] Exploring Operation: 113-56=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 36, 77, 80, 76 ]
75
[ "76-36=40", "80/40=2", "77-2=75" ]
Current State: 75:[36, 77, 80, 76], Operations: [] Exploring Operation: 76-36=40, Resulting Numbers: [77, 80, 40] Generated Node #2: [77, 80, 40] from Operation: 76-36=40 Current State: 75:[77, 80, 40], Operations: ['76-36=40'] Exploring Operation: 80/40=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 80/40=2 Current State: 75:[77, 2], Operations: ['76-36=40', '80/40=2'] Exploring Operation: 77-2=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 1, 70, 33, 72 ]
33
[ "1+70=71", "72-71=1", "33*1=33" ]
Current State: 33:[1, 70, 33, 72], Operations: [] Exploring Operation: 1+70=71, Resulting Numbers: [33, 72, 71] Generated Node #2: [33, 72, 71] from Operation: 1+70=71 Current State: 33:[33, 72, 71], Operations: ['1+70=71'] Exploring Operation: 72-71=1, Resulting Numbers: [33, 1] Generated Node #3: [33, 1] from Operation: 72-71=1 Current State: 33:[33, 1], Operations: ['1+70=71', '72-71=1'] Exploring Operation: 33*1=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 49, 65, 61, 75 ]
22
[ "49+65=114", "61+75=136", "136-114=22" ]
Current State: 22:[49, 65, 61, 75], Operations: [] Exploring Operation: 49+65=114, Resulting Numbers: [61, 75, 114] Generated Node #2: [61, 75, 114] from Operation: 49+65=114 Current State: 22:[61, 75, 114], Operations: ['49+65=114'] Exploring Operation: 61+75=136, Resulting Numbers: [114, 136] Generated Node #3: [114, 136] from Operation: 61+75=136 Current State: 22:[114, 136], Operations: ['49+65=114', '61+75=136'] Exploring Operation: 136-114=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 3, 85, 16, 48 ]
94
[ "3*48=144", "144/16=9", "85+9=94" ]
Current State: 94:[3, 85, 16, 48], Operations: [] Exploring Operation: 3*48=144, Resulting Numbers: [85, 16, 144] Generated Node #2: [85, 16, 144] from Operation: 3*48=144 Current State: 94:[85, 16, 144], Operations: ['3*48=144'] Exploring Operation: 144/16=9, Resulting Numbers: [85, 9] Generated Node #3: [85, 9] from Operation: 144/16=9 Current State: 94:[85, 9], Operations: ['3*48=144', '144/16=9'] Exploring Operation: 85+9=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 81, 4, 95, 21 ]
35
[ "95-81=14", "4*14=56", "56-21=35" ]
Current State: 35:[81, 4, 95, 21], Operations: [] Exploring Operation: 95-81=14, Resulting Numbers: [4, 21, 14] Generated Node #2: [4, 21, 14] from Operation: 95-81=14 Current State: 35:[4, 21, 14], Operations: ['95-81=14'] Exploring Operation: 4*14=56, Resulting Numbers: [21, 56] Generated Node #3: [21, 56] from Operation: 4*14=56 Current State: 35:[21, 56], Operations: ['95-81=14', '4*14=56'] Exploring Operation: 56-21=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 38, 3, 4, 59 ]
14
[ "38+3=41", "59-4=55", "55-41=14" ]
Current State: 14:[38, 3, 4, 59], Operations: [] Exploring Operation: 38+3=41, Resulting Numbers: [4, 59, 41] Generated Node #2: [4, 59, 41] from Operation: 38+3=41 Current State: 14:[4, 59, 41], Operations: ['38+3=41'] Exploring Operation: 59-4=55, Resulting Numbers: [41, 55] Generated Node #3: [41, 55] from Operation: 59-4=55 Current State: 14:[41, 55], Operations: ['38+3=41', '59-4=55'] Exploring Operation: 55-41=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 7, 4, 61, 60 ]
27
[ "7*4=28", "61-60=1", "28-1=27" ]
Current State: 27:[7, 4, 61, 60], Operations: [] Exploring Operation: 7*4=28, Resulting Numbers: [61, 60, 28] Generated Node #2: [61, 60, 28] from Operation: 7*4=28 Current State: 27:[61, 60, 28], Operations: ['7*4=28'] Exploring Operation: 61-60=1, Resulting Numbers: [28, 1] Generated Node #3: [28, 1] from Operation: 61-60=1 Current State: 27:[28, 1], Operations: ['7*4=28', '61-60=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 61, 63, 10 ]
60
[ "63-61=2", "10*2=20", "80-20=60" ]
Current State: 60:[80, 61, 63, 10], Operations: [] Exploring Operation: 63-61=2, Resulting Numbers: [80, 10, 2] Generated Node #2: [80, 10, 2] from Operation: 63-61=2 Current State: 60:[80, 10, 2], Operations: ['63-61=2'] Exploring Operation: 10*2=20, Resulting Numbers: [80, 20] Generated Node #3: [80, 20] from Operation: 10*2=20 Current State: 60:[80, 20], Operations: ['63-61=2', '10*2=20'] Exploring Operation: 80-20=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 9, 2, 1, 50 ]
35
[ "9+1=10", "50/2=25", "10+25=35" ]
Current State: 35:[9, 2, 1, 50], Operations: [] Exploring Operation: 9+1=10, Resulting Numbers: [2, 50, 10] Generated Node #2: [2, 50, 10] from Operation: 9+1=10 Current State: 35:[2, 50, 10], Operations: ['9+1=10'] Exploring Operation: 50/2=25, Resulting Numbers: [10, 25] Generated Node #3: [10, 25] from Operation: 50/2=25 Current State: 35:[10, 25], Operations: ['9+1=10', '50/2=25'] Exploring Operation: 10+25=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 5, 96, 31, 52 ]
18
[ "5+96=101", "31+52=83", "101-83=18" ]
Current State: 18:[5, 96, 31, 52], Operations: [] Exploring Operation: 5+96=101, Resulting Numbers: [31, 52, 101] Generated Node #2: [31, 52, 101] from Operation: 5+96=101 Current State: 18:[31, 52, 101], Operations: ['5+96=101'] Exploring Operation: 31+52=83, Resulting Numbers: [101, 83] Generated Node #3: [101, 83] from Operation: 31+52=83 Current State: 18:[101, 83], Operations: ['5+96=101', '31+52=83'] Exploring Operation: 101-83=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 70, 14, 57, 1 ]
28
[ "70+14=84", "57-1=56", "84-56=28" ]
Current State: 28:[70, 14, 57, 1], Operations: [] Exploring Operation: 70+14=84, Resulting Numbers: [57, 1, 84] Generated Node #2: [57, 1, 84] from Operation: 70+14=84 Current State: 28:[57, 1, 84], Operations: ['70+14=84'] Exploring Operation: 57-1=56, Resulting Numbers: [84, 56] Generated Node #3: [84, 56] from Operation: 57-1=56 Current State: 28:[84, 56], Operations: ['70+14=84', '57-1=56'] Exploring Operation: 84-56=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 84, 72, 26, 66 ]
72
[ "84+72=156", "156/26=6", "66+6=72" ]
Current State: 72:[84, 72, 26, 66], Operations: [] Exploring Operation: 84+72=156, Resulting Numbers: [26, 66, 156] Generated Node #2: [26, 66, 156] from Operation: 84+72=156 Current State: 72:[26, 66, 156], Operations: ['84+72=156'] Exploring Operation: 156/26=6, Resulting Numbers: [66, 6] Generated Node #3: [66, 6] from Operation: 156/26=6 Current State: 72:[66, 6], Operations: ['84+72=156', '156/26=6'] Exploring Operation: 66+6=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 92, 31, 52, 26 ]
35
[ "92-31=61", "52-26=26", "61-26=35" ]
Current State: 35:[92, 31, 52, 26], Operations: [] Exploring Operation: 92-31=61, Resulting Numbers: [52, 26, 61] Generated Node #2: [52, 26, 61] from Operation: 92-31=61 Current State: 35:[52, 26, 61], Operations: ['92-31=61'] Exploring Operation: 52-26=26, Resulting Numbers: [61, 26] Generated Node #3: [61, 26] from Operation: 52-26=26 Current State: 35:[61, 26], Operations: ['92-31=61', '52-26=26'] Exploring Operation: 61-26=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 76, 14, 69, 3 ]
85
[ "76-14=62", "69/3=23", "62+23=85" ]
Current State: 85:[76, 14, 69, 3], Operations: [] Exploring Operation: 76-14=62, Resulting Numbers: [69, 3, 62] Generated Node #2: [69, 3, 62] from Operation: 76-14=62 Current State: 85:[69, 3, 62], Operations: ['76-14=62'] Exploring Operation: 69/3=23, Resulting Numbers: [62, 23] Generated Node #3: [62, 23] from Operation: 69/3=23 Current State: 85:[62, 23], Operations: ['76-14=62', '69/3=23'] Exploring Operation: 62+23=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 49, 53, 10, 86 ]
26
[ "49+53=102", "86-10=76", "102-76=26" ]
Current State: 26:[49, 53, 10, 86], Operations: [] Exploring Operation: 49+53=102, Resulting Numbers: [10, 86, 102] Generated Node #2: [10, 86, 102] from Operation: 49+53=102 Current State: 26:[10, 86, 102], Operations: ['49+53=102'] Exploring Operation: 86-10=76, Resulting Numbers: [102, 76] Generated Node #3: [102, 76] from Operation: 86-10=76 Current State: 26:[102, 76], Operations: ['49+53=102', '86-10=76'] Exploring Operation: 102-76=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 59, 23, 81, 53 ]
53
[ "59+23=82", "82-81=1", "53*1=53" ]
Current State: 53:[59, 23, 81, 53], Operations: [] Exploring Operation: 59+23=82, Resulting Numbers: [81, 53, 82] Generated Node #2: [81, 53, 82] from Operation: 59+23=82 Current State: 53:[81, 53, 82], Operations: ['59+23=82'] Exploring Operation: 82-81=1, Resulting Numbers: [53, 1] Generated Node #3: [53, 1] from Operation: 82-81=1 Current State: 53:[53, 1], Operations: ['59+23=82', '82-81=1'] Exploring Operation: 53*1=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 2, 96, 84, 51 ]
61
[ "96-2=94", "84-51=33", "94-33=61" ]
Current State: 61:[2, 96, 84, 51], Operations: [] Exploring Operation: 96-2=94, Resulting Numbers: [84, 51, 94] Generated Node #2: [84, 51, 94] from Operation: 96-2=94 Current State: 61:[84, 51, 94], Operations: ['96-2=94'] Exploring Operation: 84-51=33, Resulting Numbers: [94, 33] Generated Node #3: [94, 33] from Operation: 84-51=33 Current State: 61:[94, 33], Operations: ['96-2=94', '84-51=33'] Exploring Operation: 94-33=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 94, 84, 33, 64 ]
21
[ "94-84=10", "64-33=31", "31-10=21" ]
Current State: 21:[94, 84, 33, 64], Operations: [] Exploring Operation: 94-84=10, Resulting Numbers: [33, 64, 10] Generated Node #2: [33, 64, 10] from Operation: 94-84=10 Current State: 21:[33, 64, 10], Operations: ['94-84=10'] Exploring Operation: 64-33=31, Resulting Numbers: [10, 31] Generated Node #3: [10, 31] from Operation: 64-33=31 Current State: 21:[10, 31], Operations: ['94-84=10', '64-33=31'] Exploring Operation: 31-10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 62, 82, 3, 66 ]
89
[ "82-62=20", "3+66=69", "20+69=89" ]
Current State: 89:[62, 82, 3, 66], Operations: [] Exploring Operation: 82-62=20, Resulting Numbers: [3, 66, 20] Generated Node #2: [3, 66, 20] from Operation: 82-62=20 Current State: 89:[3, 66, 20], Operations: ['82-62=20'] Exploring Operation: 3+66=69, Resulting Numbers: [20, 69] Generated Node #3: [20, 69] from Operation: 3+66=69 Current State: 89:[20, 69], Operations: ['82-62=20', '3+66=69'] Exploring Operation: 20+69=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 11, 86, 44, 58 ]
61
[ "86-11=75", "58-44=14", "75-14=61" ]
Current State: 61:[11, 86, 44, 58], Operations: [] Exploring Operation: 86-11=75, Resulting Numbers: [44, 58, 75] Generated Node #2: [44, 58, 75] from Operation: 86-11=75 Current State: 61:[44, 58, 75], Operations: ['86-11=75'] Exploring Operation: 58-44=14, Resulting Numbers: [75, 14] Generated Node #3: [75, 14] from Operation: 58-44=14 Current State: 61:[75, 14], Operations: ['86-11=75', '58-44=14'] Exploring Operation: 75-14=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 8, 68, 20, 20 ]
100
[ "68-8=60", "20+20=40", "60+40=100" ]
Current State: 100:[8, 68, 20, 20], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [20, 20, 60] Generated Node #2: [20, 20, 60] from Operation: 68-8=60 Current State: 100:[20, 20, 60], Operations: ['68-8=60'] Exploring Operation: 20+20=40, Resulting Numbers: [60, 40] Generated Node #3: [60, 40] from Operation: 20+20=40 Current State: 100:[60, 40], Operations: ['68-8=60', '20+20=40'] Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 40, 24, 94 ]
97
[ "61-40=21", "24+94=118", "118-21=97" ]
Current State: 97:[61, 40, 24, 94], Operations: [] Exploring Operation: 61-40=21, Resulting Numbers: [24, 94, 21] Generated Node #2: [24, 94, 21] from Operation: 61-40=21 Current State: 97:[24, 94, 21], Operations: ['61-40=21'] Exploring Operation: 24+94=118, Resulting Numbers: [21, 118] Generated Node #3: [21, 118] from Operation: 24+94=118 Current State: 97:[21, 118], Operations: ['61-40=21', '24+94=118'] Exploring Operation: 118-21=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 81, 54, 31, 45 ]
49
[ "81-54=27", "31+45=76", "76-27=49" ]
Current State: 49:[81, 54, 31, 45], Operations: [] Exploring Operation: 81-54=27, Resulting Numbers: [31, 45, 27] Generated Node #2: [31, 45, 27] from Operation: 81-54=27 Current State: 49:[31, 45, 27], Operations: ['81-54=27'] Exploring Operation: 31+45=76, Resulting Numbers: [27, 76] Generated Node #3: [27, 76] from Operation: 31+45=76 Current State: 49:[27, 76], Operations: ['81-54=27', '31+45=76'] Exploring Operation: 76-27=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 17, 4, 30, 14 ]
45
[ "17+4=21", "30*21=630", "630/14=45" ]
Current State: 45:[17, 4, 30, 14], Operations: [] Exploring Operation: 17+4=21, Resulting Numbers: [30, 14, 21] Generated Node #2: [30, 14, 21] from Operation: 17+4=21 Current State: 45:[30, 14, 21], Operations: ['17+4=21'] Exploring Operation: 30*21=630, Resulting Numbers: [14, 630] Generated Node #3: [14, 630] from Operation: 30*21=630 Current State: 45:[14, 630], Operations: ['17+4=21', '30*21=630'] Exploring Operation: 630/14=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 21, 24, 57, 96 ]
51
[ "24-21=3", "57+96=153", "153/3=51" ]
Current State: 51:[21, 24, 57, 96], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [57, 96, 3] Generated Node #2: [57, 96, 3] from Operation: 24-21=3 Current State: 51:[57, 96, 3], Operations: ['24-21=3'] Exploring Operation: 57+96=153, Resulting Numbers: [3, 153] Generated Node #3: [3, 153] from Operation: 57+96=153 Current State: 51:[3, 153], Operations: ['24-21=3', '57+96=153'] Exploring Operation: 153/3=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 15, 13, 15, 83 ]
83
[ "15-15=0", "13*0=0", "83+0=83" ]
Current State: 83:[15, 13, 15, 83], Operations: [] Exploring Operation: 15-15=0, Resulting Numbers: [13, 83, 0] Generated Node #2: [13, 83, 0] from Operation: 15-15=0 Current State: 83:[13, 83, 0], Operations: ['15-15=0'] Exploring Operation: 13*0=0, Resulting Numbers: [83, 0] Generated Node #3: [83, 0] from Operation: 13*0=0 Current State: 83:[83, 0], Operations: ['15-15=0', '13*0=0'] Exploring Operation: 83+0=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 52, 3, 9, 36 ]
83
[ "9+36=45", "3*45=135", "135-52=83" ]
Current State: 83:[52, 3, 9, 36], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [52, 3, 45] Generated Node #2: [52, 3, 45] from Operation: 9+36=45 Current State: 83:[52, 3, 45], Operations: ['9+36=45'] Exploring Operation: 3*45=135, Resulting Numbers: [52, 135] Generated Node #3: [52, 135] from Operation: 3*45=135 Current State: 83:[52, 135], Operations: ['9+36=45', '3*45=135'] Exploring Operation: 135-52=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 91, 24, 13, 17 ]
65
[ "91*17=1547", "13+1547=1560", "1560/24=65" ]
Current State: 65:[91, 24, 13, 17], Operations: [] Exploring Operation: 91*17=1547, Resulting Numbers: [24, 13, 1547] Generated Node #2: [24, 13, 1547] from Operation: 91*17=1547 Current State: 65:[24, 13, 1547], Operations: ['91*17=1547'] Exploring Operation: 13+1547=1560, Resulting Numbers: [24, 1560] Generated Node #3: [24, 1560] from Operation: 13+1547=1560 Current State: 65:[24, 1560], Operations: ['91*17=1547', '13+1547=1560'] Exploring Operation: 1560/24=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 56, 39, 7, 37 ]
98
[ "56-7=49", "39-37=2", "49*2=98" ]
Current State: 98:[56, 39, 7, 37], Operations: [] Exploring Operation: 56-7=49, Resulting Numbers: [39, 37, 49] Generated Node #2: [39, 37, 49] from Operation: 56-7=49 Current State: 98:[39, 37, 49], Operations: ['56-7=49'] Exploring Operation: 39-37=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 39-37=2 Current State: 98:[49, 2], Operations: ['56-7=49', '39-37=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 16, 81, 4, 67 ]
72
[ "81-67=14", "4*14=56", "16+56=72" ]
Current State: 72:[16, 81, 4, 67], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [16, 4, 14] Generated Node #2: [16, 4, 14] from Operation: 81-67=14 Current State: 72:[16, 4, 14], Operations: ['81-67=14'] Exploring Operation: 4*14=56, Resulting Numbers: [16, 56] Generated Node #3: [16, 56] from Operation: 4*14=56 Current State: 72:[16, 56], Operations: ['81-67=14', '4*14=56'] Exploring Operation: 16+56=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 83, 86, 38, 46 ]
86
[ "83-38=45", "46-45=1", "86*1=86" ]
Current State: 86:[83, 86, 38, 46], Operations: [] Exploring Operation: 83-38=45, Resulting Numbers: [86, 46, 45] Generated Node #2: [86, 46, 45] from Operation: 83-38=45 Current State: 86:[86, 46, 45], Operations: ['83-38=45'] Exploring Operation: 46-45=1, Resulting Numbers: [86, 1] Generated Node #3: [86, 1] from Operation: 46-45=1 Current State: 86:[86, 1], Operations: ['83-38=45', '46-45=1'] Exploring Operation: 86*1=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 42, 40, 8, 60 ]
38
[ "42-40=2", "60/2=30", "8+30=38" ]
Current State: 38:[42, 40, 8, 60], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [8, 60, 2] Generated Node #2: [8, 60, 2] from Operation: 42-40=2 Current State: 38:[8, 60, 2], Operations: ['42-40=2'] Exploring Operation: 60/2=30, Resulting Numbers: [8, 30] Generated Node #3: [8, 30] from Operation: 60/2=30 Current State: 38:[8, 30], Operations: ['42-40=2', '60/2=30'] Exploring Operation: 8+30=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 22, 31, 33, 47 ]
91
[ "33-31=2", "22*2=44", "47+44=91" ]
Current State: 91:[22, 31, 33, 47], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [22, 47, 2] Generated Node #2: [22, 47, 2] from Operation: 33-31=2 Current State: 91:[22, 47, 2], Operations: ['33-31=2'] Exploring Operation: 22*2=44, Resulting Numbers: [47, 44] Generated Node #3: [47, 44] from Operation: 22*2=44 Current State: 91:[47, 44], Operations: ['33-31=2', '22*2=44'] Exploring Operation: 47+44=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 12, 6, 84, 85 ]
71
[ "12*6=72", "85-84=1", "72-1=71" ]
Current State: 71:[12, 6, 84, 85], Operations: [] Exploring Operation: 12*6=72, Resulting Numbers: [84, 85, 72] Generated Node #2: [84, 85, 72] from Operation: 12*6=72 Current State: 71:[84, 85, 72], Operations: ['12*6=72'] Exploring Operation: 85-84=1, Resulting Numbers: [72, 1] Generated Node #3: [72, 1] from Operation: 85-84=1 Current State: 71:[72, 1], Operations: ['12*6=72', '85-84=1'] Exploring Operation: 72-1=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 31, 15, 77, 64 ]
35
[ "64-31=33", "15*77=1155", "1155/33=35" ]
Current State: 35:[31, 15, 77, 64], Operations: [] Exploring Operation: 64-31=33, Resulting Numbers: [15, 77, 33] Generated Node #2: [15, 77, 33] from Operation: 64-31=33 Current State: 35:[15, 77, 33], Operations: ['64-31=33'] Exploring Operation: 15*77=1155, Resulting Numbers: [33, 1155] Generated Node #3: [33, 1155] from Operation: 15*77=1155 Current State: 35:[33, 1155], Operations: ['64-31=33', '15*77=1155'] Exploring Operation: 1155/33=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 50, 48, 67, 49 ]
69
[ "50+48=98", "98/49=2", "67+2=69" ]
Current State: 69:[50, 48, 67, 49], Operations: [] Exploring Operation: 50+48=98, Resulting Numbers: [67, 49, 98] Generated Node #2: [67, 49, 98] from Operation: 50+48=98 Current State: 69:[67, 49, 98], Operations: ['50+48=98'] Exploring Operation: 98/49=2, Resulting Numbers: [67, 2] Generated Node #3: [67, 2] from Operation: 98/49=2 Current State: 69:[67, 2], Operations: ['50+48=98', '98/49=2'] Exploring Operation: 67+2=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 47, 40, 17, 96 ]
26
[ "47+40=87", "17+96=113", "113-87=26" ]
Current State: 26:[47, 40, 17, 96], Operations: [] Exploring Operation: 47+40=87, Resulting Numbers: [17, 96, 87] Generated Node #2: [17, 96, 87] from Operation: 47+40=87 Current State: 26:[17, 96, 87], Operations: ['47+40=87'] Exploring Operation: 17+96=113, Resulting Numbers: [87, 113] Generated Node #3: [87, 113] from Operation: 17+96=113 Current State: 26:[87, 113], Operations: ['47+40=87', '17+96=113'] Exploring Operation: 113-87=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 61, 39, 59, 35 ]
64
[ "39*59=2301", "2301-61=2240", "2240/35=64" ]
Current State: 64:[61, 39, 59, 35], Operations: [] Exploring Operation: 39*59=2301, Resulting Numbers: [61, 35, 2301] Generated Node #2: [61, 35, 2301] from Operation: 39*59=2301 Current State: 64:[61, 35, 2301], Operations: ['39*59=2301'] Exploring Operation: 2301-61=2240, Resulting Numbers: [35, 2240] Generated Node #3: [35, 2240] from Operation: 2301-61=2240 Current State: 64:[35, 2240], Operations: ['39*59=2301', '2301-61=2240'] Exploring Operation: 2240/35=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 48, 54, 5, 49 ]
48
[ "48+54=102", "5+49=54", "102-54=48" ]
Current State: 48:[48, 54, 5, 49], Operations: [] Exploring Operation: 48+54=102, Resulting Numbers: [5, 49, 102] Generated Node #2: [5, 49, 102] from Operation: 48+54=102 Current State: 48:[5, 49, 102], Operations: ['48+54=102'] Exploring Operation: 5+49=54, Resulting Numbers: [102, 54] Generated Node #3: [102, 54] from Operation: 5+49=54 Current State: 48:[102, 54], Operations: ['48+54=102', '5+49=54'] Exploring Operation: 102-54=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 80, 41, 90 ]
77
[ "32*90=2880", "2880/80=36", "41+36=77" ]
Current State: 77:[32, 80, 41, 90], Operations: [] Exploring Operation: 32*90=2880, Resulting Numbers: [80, 41, 2880] Generated Node #2: [80, 41, 2880] from Operation: 32*90=2880 Current State: 77:[80, 41, 2880], Operations: ['32*90=2880'] Exploring Operation: 2880/80=36, Resulting Numbers: [41, 36] Generated Node #3: [41, 36] from Operation: 2880/80=36 Current State: 77:[41, 36], Operations: ['32*90=2880', '2880/80=36'] Exploring Operation: 41+36=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 28, 21, 17, 72 ]
47
[ "28-21=7", "17*7=119", "119-72=47" ]
Current State: 47:[28, 21, 17, 72], Operations: [] Exploring Operation: 28-21=7, Resulting Numbers: [17, 72, 7] Generated Node #2: [17, 72, 7] from Operation: 28-21=7 Current State: 47:[17, 72, 7], Operations: ['28-21=7'] Exploring Operation: 17*7=119, Resulting Numbers: [72, 119] Generated Node #3: [72, 119] from Operation: 17*7=119 Current State: 47:[72, 119], Operations: ['28-21=7', '17*7=119'] Exploring Operation: 119-72=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 62, 28, 44, 80 ]
70
[ "62-28=34", "80-44=36", "34+36=70" ]
Current State: 70:[62, 28, 44, 80], Operations: [] Exploring Operation: 62-28=34, Resulting Numbers: [44, 80, 34] Generated Node #2: [44, 80, 34] from Operation: 62-28=34 Current State: 70:[44, 80, 34], Operations: ['62-28=34'] Exploring Operation: 80-44=36, Resulting Numbers: [34, 36] Generated Node #3: [34, 36] from Operation: 80-44=36 Current State: 70:[34, 36], Operations: ['62-28=34', '80-44=36'] Exploring Operation: 34+36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 10, 45, 98, 52 ]
95
[ "10+45=55", "98+52=150", "150-55=95" ]
Current State: 95:[10, 45, 98, 52], Operations: [] Exploring Operation: 10+45=55, Resulting Numbers: [98, 52, 55] Generated Node #2: [98, 52, 55] from Operation: 10+45=55 Current State: 95:[98, 52, 55], Operations: ['10+45=55'] Exploring Operation: 98+52=150, Resulting Numbers: [55, 150] Generated Node #3: [55, 150] from Operation: 98+52=150 Current State: 95:[55, 150], Operations: ['10+45=55', '98+52=150'] Exploring Operation: 150-55=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 14, 43, 28, 24 ]
62
[ "28/14=2", "43*2=86", "86-24=62" ]
Current State: 62:[14, 43, 28, 24], Operations: [] Exploring Operation: 28/14=2, Resulting Numbers: [43, 24, 2] Generated Node #2: [43, 24, 2] from Operation: 28/14=2 Current State: 62:[43, 24, 2], Operations: ['28/14=2'] Exploring Operation: 43*2=86, Resulting Numbers: [24, 86] Generated Node #3: [24, 86] from Operation: 43*2=86 Current State: 62:[24, 86], Operations: ['28/14=2', '43*2=86'] Exploring Operation: 86-24=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 98, 90, 70, 70 ]
56
[ "98*90=8820", "8820/70=126", "126-70=56" ]
Current State: 56:[98, 90, 70, 70], Operations: [] Exploring Operation: 98*90=8820, Resulting Numbers: [70, 70, 8820] Generated Node #2: [70, 70, 8820] from Operation: 98*90=8820 Current State: 56:[70, 70, 8820], Operations: ['98*90=8820'] Exploring Operation: 8820/70=126, Resulting Numbers: [126] 126,56 equal: Goal Reached Exploring Operation: 126-70=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 12, 7, 50, 4 ]
82
[ "7+4=11", "12*11=132", "132-50=82" ]
Current State: 82:[12, 7, 50, 4], Operations: [] Exploring Operation: 7+4=11, Resulting Numbers: [12, 50, 11] Generated Node #2: [12, 50, 11] from Operation: 7+4=11 Current State: 82:[12, 50, 11], Operations: ['7+4=11'] Exploring Operation: 12*11=132, Resulting Numbers: [50, 132] Generated Node #3: [50, 132] from Operation: 12*11=132 Current State: 82:[50, 132], Operations: ['7+4=11', '12*11=132'] Exploring Operation: 132-50=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 21, 62, 31, 21 ]
31
[ "21+62=83", "31+21=52", "83-52=31" ]
Current State: 31:[21, 62, 31, 21], Operations: [] Exploring Operation: 21+62=83, Resulting Numbers: [31, 83] Generated Node #2: [31, 83] from Operation: 21+62=83 Current State: 31:[31, 83], Operations: ['21+62=83'] Exploring Operation: 31+21=52, Resulting Numbers: [83, 52] Generated Node #3: [83, 52] from Operation: 31+21=52 Current State: 31:[83, 52], Operations: ['21+62=83', '31+21=52'] Exploring Operation: 83-52=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 34, 54, 15, 81 ]
22
[ "34+54=88", "81-15=66", "88-66=22" ]
Current State: 22:[34, 54, 15, 81], Operations: [] Exploring Operation: 34+54=88, Resulting Numbers: [15, 81, 88] Generated Node #2: [15, 81, 88] from Operation: 34+54=88 Current State: 22:[15, 81, 88], Operations: ['34+54=88'] Exploring Operation: 81-15=66, Resulting Numbers: [88, 66] Generated Node #3: [88, 66] from Operation: 81-15=66 Current State: 22:[88, 66], Operations: ['34+54=88', '81-15=66'] Exploring Operation: 88-66=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 89, 54, 31, 24 ]
49
[ "89+31=120", "120/24=5", "54-5=49" ]
Current State: 49:[89, 54, 31, 24], Operations: [] Exploring Operation: 89+31=120, Resulting Numbers: [54, 24, 120] Generated Node #2: [54, 24, 120] from Operation: 89+31=120 Current State: 49:[54, 24, 120], Operations: ['89+31=120'] Exploring Operation: 120/24=5, Resulting Numbers: [54, 5] Generated Node #3: [54, 5] from Operation: 120/24=5 Current State: 49:[54, 5], Operations: ['89+31=120', '120/24=5'] Exploring Operation: 54-5=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 5, 96, 48, 18 ]
14
[ "96/48=2", "18/2=9", "5+9=14" ]
Current State: 14:[5, 96, 48, 18], Operations: [] Exploring Operation: 96/48=2, Resulting Numbers: [5, 18, 2] Generated Node #2: [5, 18, 2] from Operation: 96/48=2 Current State: 14:[5, 18, 2], Operations: ['96/48=2'] Exploring Operation: 18/2=9, Resulting Numbers: [5, 9] Generated Node #3: [5, 9] from Operation: 18/2=9 Current State: 14:[5, 9], Operations: ['96/48=2', '18/2=9'] Exploring Operation: 5+9=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 24, 67, 52, 64 ]
79
[ "24+67=91", "64-52=12", "91-12=79" ]
Current State: 79:[24, 67, 52, 64], Operations: [] Exploring Operation: 24+67=91, Resulting Numbers: [52, 64, 91] Generated Node #2: [52, 64, 91] from Operation: 24+67=91 Current State: 79:[52, 64, 91], Operations: ['24+67=91'] Exploring Operation: 64-52=12, Resulting Numbers: [91, 12] Generated Node #3: [91, 12] from Operation: 64-52=12 Current State: 79:[91, 12], Operations: ['24+67=91', '64-52=12'] Exploring Operation: 91-12=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 5, 30, 52, 8 ]
79
[ "5+30=35", "52-8=44", "35+44=79" ]
Current State: 79:[5, 30, 52, 8], Operations: [] Exploring Operation: 5+30=35, Resulting Numbers: [52, 8, 35] Generated Node #2: [52, 8, 35] from Operation: 5+30=35 Current State: 79:[52, 8, 35], Operations: ['5+30=35'] Exploring Operation: 52-8=44, Resulting Numbers: [35, 44] Generated Node #3: [35, 44] from Operation: 52-8=44 Current State: 79:[35, 44], Operations: ['5+30=35', '52-8=44'] Exploring Operation: 35+44=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 25, 46, 2, 50 ]
52
[ "25-2=23", "46/23=2", "50+2=52" ]
Current State: 52:[25, 46, 2, 50], Operations: [] Exploring Operation: 25-2=23, Resulting Numbers: [46, 50, 23] Generated Node #2: [46, 50, 23] from Operation: 25-2=23 Current State: 52:[46, 50, 23], Operations: ['25-2=23'] Exploring Operation: 46/23=2, Resulting Numbers: [50, 2] Generated Node #3: [50, 2] from Operation: 46/23=2 Current State: 52:[50, 2], Operations: ['25-2=23', '46/23=2'] Exploring Operation: 50+2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 57, 50, 12, 4 ]
20
[ "57-50=7", "12-7=5", "4*5=20" ]
Current State: 20:[57, 50, 12, 4], Operations: [] Exploring Operation: 57-50=7, Resulting Numbers: [12, 4, 7] Generated Node #2: [12, 4, 7] from Operation: 57-50=7 Current State: 20:[12, 4, 7], Operations: ['57-50=7'] Exploring Operation: 12-7=5, Resulting Numbers: [4, 5] Generated Node #3: [4, 5] from Operation: 12-7=5 Current State: 20:[4, 5], Operations: ['57-50=7', '12-7=5'] Exploring Operation: 4*5=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 49, 31, 81, 97 ]
96
[ "49+31=80", "97-81=16", "80+16=96" ]
Current State: 96:[49, 31, 81, 97], Operations: [] Exploring Operation: 49+31=80, Resulting Numbers: [81, 97, 80] Generated Node #2: [81, 97, 80] from Operation: 49+31=80 Current State: 96:[81, 97, 80], Operations: ['49+31=80'] Exploring Operation: 97-81=16, Resulting Numbers: [80, 16] Generated Node #3: [80, 16] from Operation: 97-81=16 Current State: 96:[80, 16], Operations: ['49+31=80', '97-81=16'] Exploring Operation: 80+16=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 68, 90, 28, 52 ]
58
[ "90-68=22", "28+52=80", "80-22=58" ]
Current State: 58:[68, 90, 28, 52], Operations: [] Exploring Operation: 90-68=22, Resulting Numbers: [28, 52, 22] Generated Node #2: [28, 52, 22] from Operation: 90-68=22 Current State: 58:[28, 52, 22], Operations: ['90-68=22'] Exploring Operation: 28+52=80, Resulting Numbers: [22, 80] Generated Node #3: [22, 80] from Operation: 28+52=80 Current State: 58:[22, 80], Operations: ['90-68=22', '28+52=80'] Exploring Operation: 80-22=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 40, 39, 48, 4 ]
68
[ "40+48=88", "39*4=156", "156-88=68" ]
Current State: 68:[40, 39, 48, 4], Operations: [] Exploring Operation: 40+48=88, Resulting Numbers: [39, 4, 88] Generated Node #2: [39, 4, 88] from Operation: 40+48=88 Current State: 68:[39, 4, 88], Operations: ['40+48=88'] Exploring Operation: 39*4=156, Resulting Numbers: [88, 156] Generated Node #3: [88, 156] from Operation: 39*4=156 Current State: 68:[88, 156], Operations: ['40+48=88', '39*4=156'] Exploring Operation: 156-88=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 84, 58, 51, 84 ]
72
[ "58-51=7", "84/7=12", "84-12=72" ]
Current State: 72:[84, 58, 51, 84], Operations: [] Exploring Operation: 58-51=7, Resulting Numbers: [84, 84, 7] Generated Node #2: [84, 84, 7] from Operation: 58-51=7 Current State: 72:[84, 84, 7], Operations: ['58-51=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,72 equal: Goal Reached Exploring Operation: 84-12=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4