結果

問題 No.1202 お菓子の食べ方
ユーザー hitonanodehitonanode
提出日時 2020-08-28 22:04:29
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 1,621 ms / 2,000 ms
コード長 9,263 bytes
コンパイル時間 2,623 ms
コンパイル使用メモリ 216,492 KB
実行使用メモリ 16,368 KB
最終ジャッジ日時 2024-11-14 00:39:33
合計ジャッジ時間 38,020 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge1
このコードへのチャレンジ
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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 1,613 ms
11,340 KB
testcase_01 AC 1,613 ms
9,088 KB
testcase_02 AC 1,621 ms
13,552 KB
testcase_03 AC 1,611 ms
12,964 KB
testcase_04 AC 1,612 ms
12,640 KB
testcase_05 AC 1,615 ms
14,188 KB
testcase_06 AC 1,612 ms
14,164 KB
testcase_07 AC 1,621 ms
13,704 KB
testcase_08 AC 1,612 ms
13,344 KB
testcase_09 AC 1,613 ms
13,716 KB
testcase_10 AC 53 ms
6,816 KB
testcase_11 AC 226 ms
6,816 KB
testcase_12 AC 851 ms
8,448 KB
testcase_13 AC 73 ms
6,816 KB
testcase_14 AC 819 ms
11,640 KB
testcase_15 AC 43 ms
8,884 KB
testcase_16 AC 546 ms
11,504 KB
testcase_17 AC 263 ms
10,104 KB
testcase_18 AC 226 ms
6,820 KB
testcase_19 AC 69 ms
10,180 KB
testcase_20 AC 601 ms
6,820 KB
testcase_21 AC 623 ms
11,096 KB
testcase_22 AC 101 ms
12,244 KB
testcase_23 AC 466 ms
13,424 KB
testcase_24 AC 479 ms
13,056 KB
testcase_25 AC 71 ms
6,816 KB
testcase_26 AC 688 ms
12,660 KB
testcase_27 AC 551 ms
11,928 KB
testcase_28 AC 168 ms
7,296 KB
testcase_29 AC 280 ms
13,068 KB
testcase_30 AC 2 ms
6,820 KB
testcase_31 AC 2 ms
6,820 KB
testcase_32 AC 2 ms
6,820 KB
testcase_33 AC 2 ms
6,820 KB
testcase_34 AC 2 ms
6,820 KB
testcase_35 AC 2 ms
6,816 KB
testcase_36 AC 2 ms
6,816 KB
testcase_37 AC 2 ms
6,820 KB
testcase_38 AC 2 ms
6,816 KB
testcase_39 AC 2 ms
6,820 KB
testcase_40 AC 1,618 ms
14,872 KB
testcase_41 AC 1,616 ms
15,144 KB
testcase_42 AC 1,616 ms
16,368 KB
testcase_43 AC 1,614 ms
16,220 KB
testcase_44 AC 1,620 ms
15,904 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include <bits/stdc++.h>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T> void ndarray(vector<T> &vec, int len) { vec.resize(len); }
template <typename T, typename... Args> void ndarray(vector<T> &vec, int len, Args... args) { vec.resize(len); for (auto &v : vec) ndarray(v, args...); }
template <typename V, typename T> void ndfill(V &x, const T &val) { x = val; }
template <typename V, typename T> void ndfill(vector<V> &vec, const T &val) { for (auto &v : vec) ndfill(v, val); }
template <typename T> bool chmax(T &m, const T q) { if (m < q) {m = q; return true;} else return false; }
template <typename T> bool chmin(T &m, const T q) { if (m > q) {m = q; return true;} else return false; }
template <typename T1, typename T2> pair<T1, T2> operator+(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first + r.first, l.second + r.second); }
template <typename T1, typename T2> pair<T1, T2> operator-(const pair<T1, T2> &l, const pair<T1, T2> &r) { return make_pair(l.first - r.first, l.second - r.second); }
template <typename T> vector<T> srtunq(vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <typename T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
#if __cplusplus >= 201703L
template <typename... T> istream &operator>>(istream &is, tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <typename... T> ostream &operator<<(ostream &os, const tuple<T...> &tpl) { std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os; }
#endif
template <typename T> ostream &operator<<(ostream &os, const deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <typename T> ostream &operator<<(ostream &os, const set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &pa) { os << '(' << pa.first << ',' << pa.second << ')'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <typename TK, typename TV> ostream &operator<<(ostream &os, const unordered_map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
#define dbg(x) cerr << #x << " = " << (x) << " (L" << __LINE__ << ") " << __FILE__ << endl
#else
#define dbg(x)
#endif
template <int mod>
struct ModInt
{
    using lint = long long;
    static int get_mod() { return mod; }
    static int get_primitive_root() {
        static int primitive_root = 0;
        if (!primitive_root) {
            primitive_root = [&](){
                std::set<int> fac;
                int v = mod - 1;
                for (lint i = 2; i * i <= v; i++) while (v % i == 0) fac.insert(i), v /= i;
                if (v > 1) fac.insert(v);
                for (int g = 1; g < mod; g++) {
                    bool ok = true;
                    for (auto i : fac) if (ModInt(g).power((mod - 1) / i) == 1) { ok = false; break; }
                    if (ok) return g;
                }
                return -1;
            }();
        }
        return primitive_root;
    }
    int val;
    constexpr ModInt() : val(0) {}
    constexpr ModInt &_setval(lint v) { val = (v >= mod ? v - mod : v); return *this; }
    constexpr ModInt(lint v) { _setval(v % mod + mod); }
    explicit operator bool() const { return val != 0; }
    constexpr ModInt operator+(const ModInt &x) const { return ModInt()._setval((lint)val + x.val); }
    constexpr ModInt operator-(const ModInt &x) const { return ModInt()._setval((lint)val - x.val + mod); }
    constexpr ModInt operator*(const ModInt &x) const { return ModInt()._setval((lint)val * x.val % mod); }
    constexpr ModInt operator/(const ModInt &x) const { return ModInt()._setval((lint)val * x.inv() % mod); }
    constexpr ModInt operator-() const { return ModInt()._setval(mod - val); }
    constexpr ModInt &operator+=(const ModInt &x) { return *this = *this + x; }
    constexpr ModInt &operator-=(const ModInt &x) { return *this = *this - x; }
    constexpr ModInt &operator*=(const ModInt &x) { return *this = *this * x; }
    constexpr ModInt &operator/=(const ModInt &x) { return *this = *this / x; }
    friend constexpr ModInt operator+(lint a, const ModInt &x) { return ModInt()._setval(a % mod + x.val); }
    friend constexpr ModInt operator-(lint a, const ModInt &x) { return ModInt()._setval(a % mod - x.val + mod); }
    friend constexpr ModInt operator*(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.val % mod); }
    friend constexpr ModInt operator/(lint a, const ModInt &x) { return ModInt()._setval(a % mod * x.inv() % mod); }
    constexpr bool operator==(const ModInt &x) const { return val == x.val; }
    constexpr bool operator!=(const ModInt &x) const { return val != x.val; }
    bool operator<(const ModInt &x) const { return val < x.val; }  // To use std::map<ModInt, T>
    friend std::istream &operator>>(std::istream &is, ModInt &x) { lint t; is >> t; x = ModInt(t); return is; }
    friend std::ostream &operator<<(std::ostream &os, const ModInt &x) { os << x.val;  return os; }
    constexpr lint power(lint n) const {
        lint ans = 1, tmp = this->val;
        while (n) {
            if (n & 1) ans = ans * tmp % mod;
            tmp = tmp * tmp % mod;
            n /= 2;
        }
        return ans;
    }
    constexpr lint inv() const { return this->power(mod - 2); }
    constexpr ModInt operator^(lint n) const { return ModInt(this->power(n)); }
    constexpr ModInt &operator^=(lint n) { return *this = *this ^ n; }

    inline ModInt fac() const {
        static std::vector<ModInt> facs;
        int l0 = facs.size();
        if (l0 > this->val) return facs[this->val];

        facs.resize(this->val + 1);
        for (int i = l0; i <= this->val; i++) facs[i] = (i == 0 ? ModInt(1) : facs[i - 1] * ModInt(i));
        return facs[this->val];
    }

    ModInt doublefac() const {
        lint k = (this->val + 1) / 2;
        if (this->val & 1) return ModInt(k * 2).fac() / ModInt(2).power(k) / ModInt(k).fac();
        else return ModInt(k).fac() * ModInt(2).power(k);
    }

    ModInt nCr(const ModInt &r) const {
        if (this->val < r.val) return ModInt(0);
        return this->fac() / ((*this - r).fac() * r.fac());
    }

    ModInt sqrt() const {
        if (val == 0) return 0;
        if (mod == 2) return val;
        if (power((mod - 1) / 2) != 1) return 0;
        ModInt b = 1;
        while (b.power((mod - 1) / 2) == 1) b += 1;
        int e = 0, m = mod - 1;
        while (m % 2 == 0) m >>= 1, e++;
        ModInt x = power((m - 1) / 2), y = (*this) * x * x;
        x *= (*this);
        ModInt z = b.power(m);
        while (y != 1) {
            int j = 0;
            ModInt t = y;
            while (t != 1) j++, t *= t;
            z = z.power(1LL << (e - j - 1));
            x *= z, z *= z, y *= z;
            e = j;
        }
        return ModInt(std::min(x.val, mod - x.val));
    }
};
using mint = ModInt<1000000007>;

int main()
{
    int N, M;
    cin >> N >> M;
    vector S(N, vector<int>(M));
    cin >> S;

    mint ret = 0;
    REP(i, N) REP(j, M)
    {
        int &sb = S[i][j];
        ret += mint(sb - 1 + i + j).nCr(i + j) * mint(i + j).nCr(i);
        if (i)
        {
            ret += mint(i + j - 1).nCr(i - 1) * (mint(S[i - 1][j] - 1 + i + j).nCr(i + j) - mint(S[i][j] - 1 + i + j).nCr(i + j));
        }
        if (j)
        {
            ret += mint(i + j - 1).nCr(j - 1) * (mint(S[i][j - 1] - 1 + i + j).nCr(i + j) - mint(S[i][j] - 1 + i + j).nCr(i + j));
        }
    }
    REP(j, M)
    {
        int &sb = S.back()[j];
        ret += mint(N - 1 + j).nCr(j) * mint(sb - 1 + N + j).nCr(sb - 1);
    }
    REP(i, N)
    {
        int &sb = S[i].back();
        ret += mint(M - 1 + i).nCr(i) * mint(sb - 1 + M + i).nCr(sb - 1);
    }
    cout << ret << '\n';
}
0