# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
20171 | | sui | 괄호 (kriii4_R) | C++14 | | 128 ms | 48604 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS // scanf(), gets() (needed for Visual C++)
//#define NDEBUG
#include <cassert>
#include <iostream>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <algorithm>
#include <functional>
#include <string>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <unordered_map>
#include <stack>
#include <deque>
using namespace std;
#define MEMSET(x, WITH) memset(x, (WITH), sizeof(x))
#define FOR(i, E) for(int i=0; i<(E); i++)
#define REP(i, LO, HI) for(int i=(LO); i<=(HI); i++)
#define GETINT(x) scanf("%d", &x)
#define GETDBL(x) scanf("%lf", &x)
#define GETSTR(x) scanf("%s", x)
#define NEWINT(x) int x; scanf("%d", &x)
#define NEWDBL(x) double x; scanf("%lf", &x)
#define NEWLN putchar('\n')
typedef long long ll;
const ll MOD = 1000000007;
//const double PI = atan(1) * 4;
#ifdef _WIN32
#define popcnt __popcnt
#else
#define popcnt __builtin_popcount
#endif
const int SZ = 2000333;
ll inv[SZ];
ll fac[SZ];
ll invfac[SZ];
void precalc() {
inv[1] = 1;
for (int x=2; x<SZ; x++) {
ll q = MOD / x;
ll r = MOD % x;
q = MOD - q;
inv[x] = q * inv[r] % MOD;
}
fac[0] = 1;
for (int x=1; x<SZ; x++) fac[x] = fac[x-1] * x % MOD;
invfac[0] = 1;
for (int x=1; x<SZ; x++) invfac[x] = invfac[x-1] * inv[x] % MOD;
}
ll getCatalanNumber(int n) {
return fac[2*n] * invfac[n] % MOD * invfac[n+1] % MOD;
}
int main() {
precalc();
int N, K;
cin >> N >> K;
ll sum = 1;
ll a = 1;
for (int i=2; i<=N; i++) {
if (i&1) {
sum = (sum + sum - a + MOD) % MOD;
a = getCatalanNumber(i/2 + 1);
}
else {
sum = (sum + sum) % MOD;
}
}
cout << sum << endl;
return 0;
}
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