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That's because you take a difference. Say m=7, then you could have e.g. prefix values 2 and 5 (both are already % m). The difference is -3. You add 7 to get 4, which is the actual modulo you need.
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Maximum Subarray Sum
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That's because you take a difference. Say m=7, then you could have e.g. prefix values 2 and 5 (both are already % m). The difference is -3. You add 7 to get 4, which is the actual modulo you need.