*[hackerrank]Sam and sub-strings

 

https://www.hackerrank.com/contests/w3/challenges/sam-and-substrings

DP。注意到以N[i]结尾的每个字符串的子数字和有规律：

5312
5 | 3 53 | 1 31 531 | 2 12 312 5312

sd[2] = 1 + 31 + 531 = 563
sd[3] = 2 + 12 + 312 + 5312
sd[3] = 2 + 10 + 2 + 310 + 2 + 5310 + 2
sd[3] = 4 * 2 + 10 * (1 + 31 + 531 )
sd[3] = (3 + 1) * *N[3]* + 10 * *sd[2]*

sd[i+1] = (i + 2) * N[i] + 10 * sd[i]
sd[0] = N[0]

#include <iostream>

#include <vector>

using namespace std;



int main() {

    int MOD = 1000000007;

    string s;

    cin >> s;

    int len = s.size();

    long long cur_sum = 0;

    long long total_sum = 0;

    for (int i = 0; i < len; i++) {

        cur_sum = (cur_sum * 10 + (s[i] - '0') * (i + 1)) % MOD;

        total_sum = (total_sum + cur_sum) % MOD;

    }

    cout << total_sum << endl;

    return 0;

}