/* -*- coding: utf-8 -*- * * 1311.cc: No.1311 Reverse Permutation Index - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_S = 20; /* typedef */ typedef unsigned long long ull; /* global variables */ ull fs[MAX_S + 1]; int ds[MAX_S], ps[MAX_S]; bool used[MAX_S]; /* subroutines */ int getunused(int s, int k) { for (int i = 0; i < s; i++) if (! used[i]) { if (k == 0) return i; k--; } return -1; } int countunused(int d) { int c = 0; for (int i = 0; i < d; i++) if (! used[i]) c++; return c; } /* main */ int main() { ull n; int s; scanf("%llu%d", &n, &s); fs[0] = 1; for (int i = 1; i <= s; i++) fs[i] = fs[i - 1] * i; //for (int i = 0; i <= s; i++) printf("fs(%d)=%llu\n", i, fs[i]); memset(used, false, sizeof(used)); for (int i = 0; i < s; i++) { int k = n / fs[s - 1 - i]; ds[i] = getunused(s, k); used[ds[i]] = true; n -= k * fs[s - 1 - i]; } //for (int i = 0; i < s; i++) printf("%d ", ds[i]); putchar('\n'); for (int i = 0; i < s; i++) ps[ds[i]] = i; //for (int i = 0; i < s; i++) printf("%d ", ps[i]); putchar('\n'); memset(used, false, sizeof(used)); ull m = 0; for (int i = 0; i < s; i++) { m += countunused(ps[i]) * fs[s - 1 - i]; used[ps[i]] = true; } printf("%llu\n", m); return 0; }