#include using namespace std; typedef long long i64; const int N = 624; const int M = 397; const unsigned int MATRIX_A = 0x9908b0dfU; const unsigned int UPPER_MASK = 0x80000000U; const unsigned int LOWER_MASK = 0x7fffffffU; vector mt; int mti = N + 1; void init_genrand(unsigned int s) { mt.push_back(s & 0xffffffffU); for(mti=1; mti> 30)) + mti); mt[mti] &= 0xffffffffU; } } void init_by_array(vector init_key) { int key_length = init_key.size(); init_genrand(19880731U); int i = 1, j = 0; int k = N > key_length ? N : key_length; for( ; k; k--) { mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525U)) + init_key[j] + j; mt[i] &= 0xffffffffU; i++; j++; if(i >= N) { mt[0] = mt[N-1]; i = 1; } if(j >= key_length) { j = 0; } } for(k=N-1; k; k--) { mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941U)) - i; mt[i] &= 0xffffffffU; i++; if(i >= N) { mt[0] = mt[N-1]; i = 1; } } mt[0] = 0x80000000U; } unsigned int genrand_int32(void) { unsigned int y; static unsigned int mag01[2] = {0x0U, MATRIX_A}; if(mti >= N) { if(mti == N + 1) { init_genrand(5489U); } int kk; for(kk=0; kk> 1) ^ mag01[y & 0x1U]; } for(; kk> 1) ^ mag01[y & 0x1U]; } y = (mt[N-1] & UPPER_MASK) | (mt[0] & LOWER_MASK); mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1U]; mti = 0; } y = mt[mti++]; y ^= (y >> 11); y ^= (y << 7) & 0x9d2c5680U; y ^= (y << 15) & 0xefc60000U; y ^= (y >> 18); return y; } int genrand_int31(void) { return (int)(genrand_int32() >> 1); } int main(void) { clock_t start = clock(); time_t now = time(0); vector init; init.push_back(0x123); init.push_back(0x234); init.push_back(0x345); init.push_back(0x456); init.push_back(now); init_by_array(init); int k; scanf("%d", &k); int times; int res = 0; for(times=1; ; times++) { int cnt; int summa = 0; for(cnt=1; ; cnt++) { int dice = genrand_int31() % 6 + 1; summa += dice; if(summa > k) { summa = 0; continue; } if(summa == k) { break; } } res += cnt; clock_t now = clock(); if((double)(now - start) / CLOCKS_PER_SEC >= 4.7) { break; } } printf("%f\n", (float)res/times); return 0; }