C语言炊饼问题

切100刀能分成多少块？

#include <stdio.h>

int main() {
    int x = 100;
    int i;
    int part[101];
	part[0] = 1;
    for (i = 1; i <= x; i++) {
         part [i] = part [i - 1] + i;
    }

    printf("There are %d parts after 100 cuts\n", part[x]);

    return 0;
}