Submission #851480

# Submission time Handle Problem Language Result Execution time Memory
851480 2023-09-20T00:10:11 Z Nhoksocqt1 Calvinball championship (CEOI15_teams) C++17
100 / 100
227 ms 1320 KB
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 10004;
const int MOD = 1000007;

ll dp[2][MAXN][2];
int a[MAXN], nArr;

ll powermod(ll a, int exponent) {
    ll res(1);
    while(exponent > 0) {
        if(exponent & 1)
            res = res * a % MOD;

        a = a * a % MOD;
        exponent >>= 1;
    }

    return res;
}

void process() {
    cin >> nArr;
    for (int i = 1; i <= nArr; ++i)
        cin >> a[i];

    dp[1][1][0] = 1;
    for (int i = 2; i <= nArr; ++i) {
        int cur(i & 1), pre(!cur);
        for (int j = 1; j < i; ++j) {
            for (int smaller = 0; smaller < 2; ++smaller) {
                if(!dp[pre][j][smaller])
                    continue;

                if(!smaller) {
                    dp[cur][j][1] = (dp[cur][j][1] + dp[pre][j][smaller] * min(j, a[i] - 1)) % MOD;
                    dp[cur][j][0] = (dp[cur][j][0] + dp[pre][j][smaller] * (j >= a[i])) % MOD;
                } else {
                    dp[cur][j][smaller] = (dp[cur][j][smaller] + dp[pre][j][smaller] * j) % MOD;
                }

                if((smaller || j + 1 <= a[i]) && (dp[cur][j + 1][smaller | (j + 1 < a[i])] += dp[pre][j][smaller]) >= MOD)
                    dp[cur][j + 1][smaller | (j + 1 < a[i])] -= MOD;

                dp[pre][j][smaller] = 0;
            }
        }
    }

    ll res(0);
    for (int j = 1; j <= nArr; ++j)
        res += dp[nArr & 1][j][0] + dp[nArr & 1][j][1];

    cout << res % MOD << '\n';
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    process();
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 468 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 424 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB Output is correct
2 Correct 3 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 214 ms 804 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 56 ms 592 KB Output is correct
2 Correct 57 ms 604 KB Output is correct
3 Correct 60 ms 628 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 222 ms 604 KB Output is correct
2 Correct 227 ms 608 KB Output is correct
3 Correct 224 ms 1320 KB Output is correct