Beautiful Binary String

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    The output to input: 100 0100101010100010110100100110110100011100111110101001011001110111110000101011011111011001111100011101 should be 11 not 10. by changing index (zero indexed): 1, 5, 7, 9, 14, 19, 22, 31, 47, 51 and 70. How can it be done in 10 changes ?