結果
問題 | No.389 ロジックパズルの組み合わせ |
ユーザー | anta |
提出日時 | 2016-07-08 22:51:47 |
言語 | C++14 (gcc 13.2.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 16 ms / 2,000 ms |
コード長 | 5,437 bytes |
コンパイル時間 | 1,695 ms |
コンパイル使用メモリ | 171,944 KB |
実行使用メモリ | 11,400 KB |
最終ジャッジ日時 | 2023-08-03 08:48:45 |
合計ジャッジ時間 | 5,295 ms |
ジャッジサーバーID (参考情報) |
judge15 / judge13 |
テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | AC | 1 ms
4,380 KB |
testcase_01 | AC | 1 ms
4,380 KB |
testcase_02 | AC | 2 ms
4,376 KB |
testcase_03 | AC | 2 ms
4,376 KB |
testcase_04 | AC | 10 ms
8,060 KB |
testcase_05 | AC | 2 ms
4,376 KB |
testcase_06 | AC | 2 ms
4,380 KB |
testcase_07 | AC | 2 ms
4,380 KB |
testcase_08 | AC | 1 ms
4,376 KB |
testcase_09 | AC | 13 ms
9,596 KB |
testcase_10 | AC | 4 ms
4,380 KB |
testcase_11 | AC | 14 ms
9,744 KB |
testcase_12 | AC | 3 ms
4,376 KB |
testcase_13 | AC | 16 ms
11,400 KB |
testcase_14 | AC | 4 ms
4,416 KB |
testcase_15 | AC | 4 ms
4,384 KB |
testcase_16 | AC | 7 ms
6,116 KB |
testcase_17 | AC | 11 ms
7,700 KB |
testcase_18 | AC | 15 ms
9,388 KB |
testcase_19 | AC | 1 ms
4,376 KB |
testcase_20 | AC | 2 ms
4,376 KB |
testcase_21 | AC | 2 ms
4,376 KB |
testcase_22 | AC | 2 ms
4,380 KB |
testcase_23 | AC | 2 ms
4,376 KB |
testcase_24 | AC | 2 ms
4,376 KB |
testcase_25 | AC | 2 ms
4,380 KB |
testcase_26 | AC | 1 ms
4,376 KB |
testcase_27 | AC | 2 ms
4,380 KB |
testcase_28 | AC | 2 ms
4,380 KB |
testcase_29 | AC | 1 ms
4,380 KB |
testcase_30 | AC | 2 ms
4,376 KB |
testcase_31 | AC | 1 ms
4,376 KB |
testcase_32 | AC | 1 ms
4,380 KB |
testcase_33 | AC | 1 ms
4,380 KB |
testcase_34 | AC | 1 ms
4,380 KB |
testcase_35 | AC | 2 ms
4,376 KB |
testcase_36 | AC | 1 ms
4,376 KB |
testcase_37 | AC | 1 ms
4,376 KB |
testcase_38 | AC | 2 ms
4,380 KB |
testcase_39 | AC | 2 ms
4,380 KB |
testcase_40 | AC | 1 ms
4,380 KB |
testcase_41 | AC | 2 ms
4,376 KB |
testcase_42 | AC | 1 ms
4,380 KB |
testcase_43 | AC | 1 ms
4,380 KB |
testcase_44 | AC | 1 ms
4,376 KB |
testcase_45 | AC | 1 ms
4,380 KB |
testcase_46 | AC | 1 ms
4,376 KB |
testcase_47 | AC | 1 ms
4,376 KB |
testcase_48 | AC | 2 ms
4,376 KB |
testcase_49 | AC | 6 ms
5,176 KB |
testcase_50 | AC | 2 ms
4,380 KB |
testcase_51 | AC | 2 ms
4,380 KB |
testcase_52 | AC | 3 ms
4,380 KB |
testcase_53 | AC | 2 ms
4,376 KB |
testcase_54 | AC | 2 ms
4,376 KB |
testcase_55 | AC | 1 ms
4,380 KB |
testcase_56 | AC | 2 ms
4,380 KB |
testcase_57 | AC | 3 ms
4,376 KB |
testcase_58 | AC | 6 ms
5,112 KB |
testcase_59 | AC | 4 ms
4,376 KB |
testcase_60 | AC | 3 ms
4,376 KB |
testcase_61 | AC | 8 ms
4,992 KB |
testcase_62 | AC | 3 ms
4,376 KB |
testcase_63 | AC | 6 ms
5,056 KB |
testcase_64 | AC | 2 ms
4,376 KB |
testcase_65 | AC | 2 ms
4,380 KB |
testcase_66 | AC | 3 ms
4,380 KB |
testcase_67 | AC | 3 ms
4,376 KB |
testcase_68 | AC | 3 ms
4,376 KB |
testcase_69 | AC | 11 ms
8,204 KB |
testcase_70 | AC | 9 ms
7,128 KB |
testcase_71 | AC | 6 ms
5,476 KB |
testcase_72 | AC | 13 ms
9,384 KB |
testcase_73 | AC | 7 ms
5,680 KB |
testcase_74 | AC | 6 ms
5,296 KB |
testcase_75 | AC | 6 ms
5,472 KB |
testcase_76 | AC | 9 ms
6,616 KB |
testcase_77 | AC | 9 ms
6,696 KB |
testcase_78 | AC | 4 ms
4,380 KB |
testcase_79 | AC | 6 ms
5,152 KB |
testcase_80 | AC | 4 ms
4,420 KB |
testcase_81 | AC | 3 ms
4,376 KB |
testcase_82 | AC | 13 ms
8,928 KB |
testcase_83 | AC | 7 ms
5,880 KB |
testcase_84 | AC | 4 ms
4,380 KB |
testcase_85 | AC | 14 ms
10,016 KB |
testcase_86 | AC | 12 ms
9,304 KB |
testcase_87 | AC | 3 ms
4,376 KB |
testcase_88 | AC | 1 ms
4,380 KB |
testcase_89 | AC | 9 ms
6,840 KB |
testcase_90 | AC | 16 ms
11,252 KB |
testcase_91 | AC | 16 ms
9,656 KB |
testcase_92 | AC | 5 ms
4,704 KB |
testcase_93 | AC | 14 ms
9,136 KB |
testcase_94 | AC | 10 ms
8,004 KB |
testcase_95 | AC | 11 ms
7,660 KB |
testcase_96 | AC | 16 ms
10,928 KB |
testcase_97 | AC | 15 ms
10,248 KB |
testcase_98 | AC | 15 ms
9,980 KB |
ソースコード
#include "bits/stdc++.h" using namespace std; #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) static const int INF = 0x3f3f3f3f; static const long long INFL = 0x3f3f3f3f3f3f3f3fLL; typedef vector<int> vi; typedef pair<int, int> pii; typedef vector<pair<int, int> > vpii; typedef long long ll; template<typename T, typename U> static void amin(T &x, U y) { if(y < x) x = y; } template<typename T, typename U> static void amax(T &x, U y) { if(x < y) x = y; } template<int MOD> struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) {} ModInt(signed sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; } ModInt(signed long long sig) { int sigt = sig % MOD; if(sigt < 0) sigt += MOD; x = sigt; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { signed a = x, b = MOD, u = 1, v = 0; while(b) { signed t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } if(u < 0) u += Mod; ModInt res; res.x = (unsigned)u; return res; } }; typedef ModInt<1000000007> mint; vector<mint> fact, factinv; void nCr_computeFactinv(int N) { N = min(N, mint::Mod - 1); fact.resize(N + 1); factinv.resize(N + 1); fact[0] = 1; rer(i, 1, N) fact[i] = fact[i - 1] * i; factinv[N] = fact[N].inverse(); for(int i = N; i >= 1; i --) factinv[i - 1] = factinv[i] * i; } mint nCr(int n, int r) { if(n >= mint::Mod) return nCr(n % mint::Mod, r % mint::Mod) * nCr(n / mint::Mod, r / mint::Mod); return r > n ? 0 : fact[n] * factinv[n - r] * factinv[r]; } class FastInput { bool _end; public: FastInput() : _end(false) {} operator void*() { return _end ? 0 : (void*)this; } template<typename T> void read_unsigned(T *res) { T x = 0; for(char c = skip(); '0' <= c && c <= '9'; c = gc()) x = x * 10 + (c - '0'); *res = x; } template<typename T> void read_signed(T *res) { char c = skip(); bool sign = false; if(c == '-') sign = true, c = gc(); T x = 0; for(; '0' <= c && c <= '9'; c = gc()) x = x * 10 + (c - '0'); *res = !sign ? x : -x; } void read_c_string(char *str, int *len) { int n = 0; for(char c = skip(); !is_delim(c); c = gc()) str[n ++] = c; str[n] = 0; *len = n; } void read_string(std::string *str) { str->clear(); for(char c = skip(); !is_delim(c); c = gc()) *str += c; } void read_line(std::string *str) { str->clear(); for(char c = gc(); c != '\n'; c = gc()) *str += c; if(!str->empty() && (*str)[str->size() - 1] == '\r') str->resize(str->size() - 1); } void read_double(double *res) { std::string buf; read_string(&buf); sscanf(buf.c_str(), "%lf", res); } void read_char(char *res) { *res = skip(); } void read_string_buf(char *res, int n) { *res = skip(); } FastInput &operator()(char &res) { read_char(&res); return *this; } FastInput &operator()(int &res) { read_signed(&res); return *this; } FastInput &operator()(unsigned &res) { read_unsigned(&res); return *this; } FastInput &operator()(long long &res) { read_signed(&res); return *this; } FastInput &operator()(unsigned long long &res) { read_unsigned(&res); return *this; } FastInput &operator()(char *res) { int len; read_c_string(res, &len); return *this; } FastInput &operator()(std::string &res) { read_string(&res); return *this; } FastInput &operator()(double &res) { read_double(&res); return *this; } template<typename T1, typename T2> FastInput &operator()(T1 &res1, T2 &res2) { return operator()(res1)(res2); } template<typename T1, typename T2, typename T3> FastInput &operator()(T1 &res1, T2 &res2, T3 &res3) { return operator()(res1)(res2)(res3); } template<typename T> FastInput &a(T *a, int n) { for(int i = 0; i < n; ++ i) operator()(a[i]); return *this; } template<typename T> FastInput &operator()(vector<T> &v) { for(size_t i = 0; i < v.size(); ++ i) operator()(v[i]); return *this; } private: static char gc() { #if defined(__GNUC__) && !defined(__MINGW32__) return (char)getchar_unlocked(); #elif defined(_MSC_VER) return (char)_getchar_nolock(); #else return (char)getchar(); #endif } static bool is_delim(char c) { return c == ' ' || c == '\t' || c == '\n' || c == '\r' || c == EOF; } char skip() { if(_end) return EOF; char c; for(c = gc(); c != -1 && is_delim(c); c = gc()); if(c == EOF) _end = true; return c; } } in; int main() { int N; in(N); vector<int> H; { int h; while(in(h)) H.push_back(h); } int sum = accumulate(H.begin(), H.end(), 0); if(sum == 0) { puts("1"); } else if(sum + (int)H.size() - 1 > N) { puts("NA"); } else { nCr_computeFactinv(N); mint ans = nCr(N - sum + 1, H.size()); printf("%d\n", ans.get()); } return 0; }