Submission #1085963

#	Time	Username	Problem	Language	Result	Execution time	Memory
1085963		quanlt206	Boat (APIO16_boat)	C++17	0 / 100	3 ms	4444 KiB

boat

#include<bits/stdc++.h>
#define X first
#define Y second
#define all(x) begin(x), end(x)
#define FOR(i, a, b) for(int i = (a); i <= (b); i++)
#define FORD(i, b, a) for(int i = (b); i >= (a); i--)
#define REP(i, a, b) for (int i = (a); i < (b); i++)
#define mxx max_element
#define mnn min_element
#define SQR(x) (1LL * (x) * (x))
#define MASK(i) (1LL << (i))
#define Point Vector
#define left Left
#define right Right
#define div Div

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ld;
typedef pair<db, db> pdb;
typedef pair<ld, ld> pld;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef pair<ll, ll> pll;
typedef pair<ll, pll> plll;
typedef pair<ll, int> pli;
typedef pair<ll, pii> plii;

template<class A, class B>
    bool maximize(A& x, B y) {
        if (x < y) return x = y, true; else return false;
    }
template<class A, class B>
    bool minimize(A& x, B y) {
        if (x > y) return x = y, true; else return false;
    }

/* END OF TEMPLATE */

const int N = 1e3 + 7;
const int mod = 1e9 + 7;

int n, m, a[N], b[N];

vector<int> E;

pii block[N];

int dp[N][N];

void add(int& x, int y) {
    if ((x+=y) >= mod) x-=mod;
}

int Ckn[N][N];

long long fact[N], inv_fact[N];

long long mul(long long a, long long b) {
    if (b == 0) return 1;
    ll tmp = mul(a, b / 2);
    tmp = tmp * tmp % mod;
    if (b & 1) tmp = tmp * a % mod;
    return tmp;
}

void buildCkn() {
    fact[0] = 1;
    for (int i = 1; i <= n; i++) fact[i] = fact[i - 1] * i % mod;
    inv_fact[n] = mul(fact[n], mod - 2);
    for (int i = n - 1; i > 0; i--) inv_fact[i] = inv_fact[i + 1] * (i + 1) % mod;
    for (int i = 1; i <= m; i++) {
        int sz = block[i].Y - block[i].X + 1;
        ll tich = 1;
        for (int j = sz; j > 0; j--) {
            tich = tich * j % mod;
            Ckn[i][sz - j + 1] = tich * inv_fact[sz - j + 1] % mod;
            if (sz - j + 1 > n) break;
        }
    }
}



int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cin>>n;
    set<int> s;
    for (int i = 1; i <= n; i++) {
        cin>>a[i]>>b[i];
        s.insert(a[i]);
        s.insert(b[i]);
    }
    vector<int> E(s.begin(), s.end());
    m = E.size();
    for (int i = 0; i + 1< E.size(); i++) block[i + 1] = {E[i], E[i + 1] - 1};
    block[m] = {E[m - 1], E[m - 1]};
    buildCkn();
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= m; j++) {
            dp[i][j] = dp[i - 1][j];
            add(dp[i][j], dp[i][j - 1]);
            if (a[i] <= block[j].X && block[j].Y <= b[i]) {
                add(dp[i][j], 1);
                for (int k = i - 1; k >= 1; k--)
                    if (!(a[k] <= block[j].X && block[j].Y <= b[k]) || (block[j].Y - block[j].X + 1 < i - k + 1)) break; else {

                        add(dp[i][j], 1LL * dp[k - 1][j - 1] * Ckn[j][i - k + 1] % mod);
                    }
            }
        }
    }
//    cout<<dp[1][1]<<" "<<dp[1][2]<<" "<<dp[1][3]<<"\n";
    cout<<dp[n][m];
    return 0;
}

Compilation message (stderr)

boat.cpp: In function 'int main()':
boat.cpp:100:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  100 |     for (int i = 0; i + 1< E.size(); i++) block[i + 1] = {E[i], E[i + 1] - 1};
      |                     ~~~~~^~~~~~~~~~

• Subtask 1: 0 / 9
• Subtask 2: 0 / 22
• Subtask 3: 0 / 27
• Subtask 4: 0 / 42