Quote from: zahid888 on Today at 10:47:01 AM

Puzzle: 1 Zeros: 0 Ones: 1 Percent 0: 0.00% Percent 1: 100.00% Decimal: 1 | Binary: 1
Puzzle: 2 Zeros: 0 Ones: 2 Percent 0: 0.00% Percent 1: 100.00% Decimal: 3 | Binary: 11
Puzzle: 3 Zeros: 0 Ones: 3 Percent 0: 0.00% Percent 1: 100.00% Decimal: 7 | Binary: 111
Puzzle: 4 Zeros: 3 Ones: 1 Percent 0: 75.00% Percent 1: 25.00% Decimal: 8 | Binary: 1000
Puzzle: 5 Zeros: 2 Ones: 3 Percent 0: 40.00% Percent 1: 60.00% Decimal: 21 | Binary: 10101
Puzzle: 6 Zeros: 3 Ones: 3 Percent 0: 50.00% Percent 1: 50.00% Decimal: 49 | Binary: 110001
Puzzle: 7 Zeros: 4 Ones: 3 Percent 0: 57.14% Percent 1: 42.86% Decimal: 76 | Binary: 1001100
Puzzle: 8 Zeros: 5 Ones: 3 Percent 0: 62.50% Percent 1: 37.50% Decimal: 224 | Binary: 11100000
Puzzle: 9 Zeros: 3 Ones: 6 Percent 0: 33.33% Percent 1: 66.67% Decimal: 467 | Binary: 111010011
Puzzle: 10 Zeros: 8 Ones: 2 Percent 0: 80.00% Percent 1: 20.00% Decimal: 514 | Binary: 1000000010
Puzzle: 11 Zeros: 7 Ones: 4 Percent 0: 63.64% Percent 1: 36.36% Decimal: 1155 | Binary: 10010000011
Puzzle: 12 Zeros: 4 Ones: 8 Percent 0: 33.33% Percent 1: 66.67% Decimal: 2683 | Binary: 101001111011
Puzzle: 13 Zeros: 9 Ones: 4 Percent 0: 69.23% Percent 1: 30.77% Decimal: 5216 | Binary: 1010001100000
Puzzle: 14 Zeros: 9 Ones: 5 Percent 0: 64.29% Percent 1: 35.71% Decimal: 10544 | Binary: 10100100110000
Puzzle: 15 Zeros: 6 Ones: 9 Percent 0: 40.00% Percent 1: 60.00% Decimal: 26867 | Binary: 110100011110011
Puzzle: 16 Zeros: 8 Ones: 8 Percent 0: 50.00% Percent 1: 50.00% Decimal: 51510 | Binary: 1100100100110110
Puzzle: 17 Zeros: 6 Ones: 11 Percent 0: 35.29% Percent 1: 64.71% Decimal: 95823 | Binary: 10111011001001111
Puzzle: 18 Zeros: 12 Ones: 6 Percent 0: 66.67% Percent 1: 33.33% Decimal: 198669 | Binary: 110000100000001101
Puzzle: 19 Zeros: 7 Ones: 12 Percent 0: 36.84% Percent 1: 63.16% Decimal: 357535 | Binary: 1010111010010011111
Puzzle: 20 Zeros: 10 Ones: 10 Percent 0: 50.00% Percent 1: 50.00% Decimal: 863317 | Binary: 11010010110001010101
Puzzle: 21 Zeros: 10 Ones: 11 Percent 0: 47.62% Percent 1: 52.38% Decimal: 1811764 | Binary: 110111010010100110100
Puzzle: 22 Zeros: 10 Ones: 12 Percent 0: 45.45% Percent 1: 54.55% Decimal: 3007503 | Binary: 1011011110010000001111
Puzzle: 23 Zeros: 11 Ones: 12 Percent 0: 47.83% Percent 1: 52.17% Decimal: 5598802 | Binary: 10101010110111001010010
Puzzle: 24 Zeros: 15 Ones: 9 Percent 0: 62.50% Percent 1: 37.50% Decimal: 14428676 | Binary: 110111000010101000000100
Puzzle: 25 Zeros: 8 Ones: 17 Percent 0: 32.00% Percent 1: 68.00% Decimal: 33185509 | Binary: 1111110100101111011100101
Puzzle: 26 Zeros: 15 Ones: 11 Percent 0: 57.69% Percent 1: 42.31% Decimal: 54538862 | Binary: 11010000000011001001101110
Puzzle: 27 Zeros: 13 Ones: 14 Percent 0: 48.15% Percent 1: 51.85% Decimal: 111949941 | Binary: 110101011000011100001110101
Puzzle: 28 Zeros: 14 Ones: 14 Percent 0: 50.00% Percent 1: 50.00% Decimal: 227634408 | Binary: 1101100100010110110011101000
Puzzle: 29 Zeros: 13 Ones: 16 Percent 0: 44.83% Percent 1: 55.17% Decimal: 400708894 | Binary: 10111111000100101010100011110
Puzzle: 30 Zeros: 14 Ones: 16 Percent 0: 46.67% Percent 1: 53.33% Decimal: 1033162084 | Binary: 111101100101001100110101100100
Puzzle: 31 Zeros: 10 Ones: 21 Percent 0: 32.26% Percent 1: 67.74% Decimal: 2102388551 | Binary: 1111101010011111110011101000111
Puzzle: 32 Zeros: 17 Ones: 15 Percent 0: 53.12% Percent 1: 46.88% Decimal: 3093472814 | Binary: 10111000011000101010011000101110
Puzzle: 33 Zeros: 17 Ones: 16 Percent 0: 51.52% Percent 1: 48.48% Decimal: 7137437912 | Binary: 110101001011011001010100011011000
Puzzle: 34 Zeros: 18 Ones: 16 Percent 0: 52.94% Percent 1: 47.06% Decimal: 14133072157 | Binary: 1101001010011001011001000100011101
Puzzle: 35 Zeros: 20 Ones: 15 Percent 0: 57.14% Percent 1: 42.86% Decimal: 20112871792 | Binary: 10010101110110100100001000101110000
Puzzle: 36 Zeros: 19 Ones: 17 Percent 0: 52.78% Percent 1: 47.22% Decimal: 42387769980 | Binary: 100111011110100000100000101001111100
Puzzle: 37 Zeros: 15 Ones: 22 Percent 0: 40.54% Percent 1: 59.46% Decimal: 100251560595 | Binary: 1011101010111011101010110101010010011
Puzzle: 38 Zeros: 21 Ones: 17 Percent 0: 55.26% Percent 1: 44.74% Decimal: 146971536592 | Binary: 10001000111000001011111010110011010000
Puzzle: 39 Zeros: 19 Ones: 20 Percent 0: 48.72% Percent 1: 51.28% Decimal: 323724968937 | Binary: 100101101011111100000110000001111101001
Puzzle: 40 Zeros: 18 Ones: 22 Percent 0: 45.00% Percent 1: 55.00% Decimal: 1003651412950 | Binary: 1110100110101110010010010011001111010110
Puzzle: 41 Zeros: 20 Ones: 21 Percent 0: 48.78% Percent 1: 51.22% Decimal: 1458252205147 | Binary: 10101001110000110100110101100110001011011
Puzzle: 42 Zeros: 23 Ones: 19 Percent 0: 54.76% Percent 1: 45.24% Decimal: 2895374552463 | Binary: 101010001000100001110001011000110110001111
Puzzle: 43 Zeros: 19 Ones: 24 Percent 0: 44.19% Percent 1: 55.81% Decimal: 7409811047825 | Binary: 1101011110100111011001001111100010110010001
Puzzle: 44 Zeros: 22 Ones: 22 Percent 0: 50.00% Percent 1: 50.00% Decimal: 15404761757071 | Binary: 11100000001010110011010110100011010110001111
Puzzle: 45 Zeros: 26 Ones: 19 Percent 0: 57.78% Percent 1: 42.22% Decimal: 19996463086597 | Binary: 100100010111111001010000101000011110000000101
Puzzle: 46 Zeros: 27 Ones: 19 Percent 0: 58.70% Percent 1: 41.30% Decimal: 51408670348612 | Binary: 1011101100000110000011100010001101010101000100
Puzzle: 47 Zeros: 23 Ones: 24 Percent 0: 48.94% Percent 1: 51.06% Decimal: 119666659114170 | Binary: 11011001101011000010000101101010011110010111010
Puzzle: 48 Zeros: 17 Ones: 31 Percent 0: 35.42% Percent 1: 64.58% Decimal: 191206974700443 | Binary: 101011011110011011010111110011100011101110011011
Puzzle: 49 Zeros: 24 Ones: 25 Percent 0: 48.98% Percent 1: 51.02% Decimal: 409118905032525 | Binary: 1011101000001011101101011000000010101111101001101
Puzzle: 50 Zeros: 26 Ones: 24 Percent 0: 52.00% Percent 1: 48.00% Decimal: 611140496167764 | Binary: 10001010111101010000111100001011101001001101010100
Puzzle: 51 Zeros: 32 Ones: 19 Percent 0: 62.75% Percent 1: 37.25% Decimal: 2058769515153876 | Binary: 111010100000111000010100001101000000000100111010100
Puzzle: 52 Zeros: 22 Ones: 30 Percent 0: 42.31% Percent 1: 57.69% Decimal: 4216495639600700 | Binary: 1110111110101110000101100100110010111001111000111100
Puzzle: 53 Zeros: 29 Ones: 24 Percent 0: 54.72% Percent 1: 45.28% Decimal: 6763683971478124 | Binary: 11000000001111000100011100100011111100011001001101100
Puzzle: 54 Zeros: 22 Ones: 32 Percent 0: 40.74% Percent 1: 59.26% Decimal: 9974455244496707 | Binary: 100011011011111011011011010101101011010001111101000011
Puzzle: 55 Zeros: 24 Ones: 31 Percent 0: 43.64% Percent 1: 56.36% Decimal: 30045390491869460 | Binary: 1101010101111100001111110011011011001111110000100010100
Puzzle: 56 Zeros: 22 Ones: 34 Percent 0: 39.29% Percent 1: 60.71% Decimal: 44218742292676575 | Binary: 10011101000110001011011000111010110001001111111111011111
Puzzle: 57 Zeros: 28 Ones: 29 Percent 0: 49.12% Percent 1: 50.88% Decimal: 138245758910846492 | Binary: 111101011001001011100100100000111100101011101011000011100
Puzzle: 58 Zeros: 33 Ones: 25 Percent 0: 56.90% Percent 1: 43.10% Decimal: 199976667976342049 | Binary: 1011000110011101011011100001010010000110001001101000100001
Puzzle: 59 Zeros: 26 Ones: 33 Percent 0: 44.07% Percent 1: 55.93% Decimal: 525070384258266191 | Binary: 11101001001011011001011101110000111110010101011010001001111
Puzzle: 60 Zeros: 28 Ones: 32 Percent 0: 46.67% Percent 1: 53.33% Decimal: 1135041350219496382 | Binary: 111111000000011110100001100000100101001101100111101110111110
Puzzle: 61 Zeros: 32 Ones: 29 Percent 0: 52.46% Percent 1: 47.54% Decimal: 1425787542618654982 | Binary: 1001111001001011010100011011101000010111101100100100100000110
Puzzle: 62 Zeros: 28 Ones: 34 Percent 0: 45.16% Percent 1: 54.84% Decimal: 3908372542507822062 | Binary: 11011000111101010101000001111010110110000100011010101111101110
Puzzle: 63 Zeros: 27 Ones: 36 Percent 0: 42.86% Percent 1: 57.14% Decimal: 8993229949524469768 | Binary: 111110011001110010111101111110110101100110011110110100000001000
Puzzle: 64 Zeros: 34 Ones: 30 Percent 0: 53.12% Percent 1: 46.88% Decimal: 17799667357578236628 | Binary: 1111011100000101000111110010011110110000100100010001001011010100
Puzzle: 65 Zeros: 36 Ones: 29 Percent 0: 55.38% Percent 1: 44.62% Decimal: 30568377312064202855 | Binary: 11010100000111000101100010011010100000101101100100110100001100111

The most challenging task in the world is to guess a random number

The problem isn't guessing a random number, it's narrowing down the search range to more probable keys. Thank you for posting the percentages; this way we can see that after 54, none have fewer than 40% of bits as 1 or 0, nor more than 60%. I believe we can accept this as a fact.