답안 #165245

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
165245 2019-11-26T08:36:34 Z Atill83 Relativnost (COCI15_relativnost) C++14
98 / 140
4000 ms 4364 KB
#include <bits/stdc++.h>
#define ff first
#define ss second
#define endl '\n'
using namespace std;
const long long INF = (long long) 1e18;
const int mod = (int) 1e4+7;
const int MAXN = (int) 3e5+5;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
int n, c, q;
ll a[MAXN], b[MAXN];
ll dp[MAXN][25];
const int bs = 400;
ll bld[bs + 5][25];
ll bd[bs + 5][25];


ll bp(ll a, ll b){
    ll res = 1;
    while(b){
        if(b % 2) res = (res * a)%mod;
        a = (a * a) %mod;
        b = b / 2;
    }
    return res;
}

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

    #ifdef Local
        freopen("../IO/int.txt","r",stdin);
        freopen("../IO/out.txt","w",stdout);
    #endif

    cin>>n>>c;

    for(int i = 1; i <= n; i++){
        cin>>a[i];
    }
    ll cur = 1;
    for(int i = 1; i <= n; i++){
        cin>>b[i];
        cur *= a[i] + b[i];
        cur %= mod;
    }
    int blkC = (n + bs - 1)/bs;
    for(int i = 0; i < blkC; i++){
        dp[0][0] = 1;
        ll numIt = min(bs*(i + 1), n) - bs*i;
        for(int j = 1; j <= numIt; j++){
            int curA = a[bs*i + j];
            int curB = b[bs*i + j];
            dp[j][0] = dp[j - 1][0]*curB%mod;
            dp[j][0] %= mod;
            for(int k = 1; k < c; k++){
                dp[j][k]  = dp[j - 1][k - 1]*curA% mod;
                dp[j][k] += dp[j - 1][k]*curB%mod;
                dp[j][k] %= mod;
            }
        }
        //cout<<numIt + bs*i<<endl;
            for(int j = 0; j < c; j++){
                bd[i][j] = dp[numIt][j];
                if(i == 0) bld[i][j] = bd[i][j];
            }
        //cout<<endl;
        if(i != 0)
        for(int k = 0; k < c; k++){
            bld[i][k] = 0;
            for(int l = 0; l <= k; l++){
                bld[i][k] += bld[i - 1][l]*bd[i][k - l];
                bld[i][k] %= mod;
            }
        }
    }
    //cout<<endl;
    cin>>q;
    while(q--){
        int kis, an, bn;
        cin>>kis>>an>>bn;
        cur = cur * bp(a[kis] + b[kis], mod - 2);
        cur %= mod;
        a[kis] = an;
        b[kis] = bn;
        cur *= an + bn;
        cur %= mod;
        
        int dis = (kis - 1)/bs;
        dp[0][0] = 1;
        for(int j = 1; j < c; j++){
            dp[0][j] = 0;
        }
        int numIt = min(bs*(dis + 1), n) - bs*dis;
        for(int i = 1; i <= numIt; i++){
            int curA = a[bs*dis + i];
            int curB = b[bs*dis + i];
            dp[i][0] = dp[i - 1][0]*curB%mod;
            dp[i][0] %= mod;
            for(int k = 1; k < c; k++){
                dp[i][k]  = dp[i - 1][k - 1]*curA% mod;
                dp[i][k] += dp[i - 1][k]*curB%mod;
                dp[i][k] %= mod;
            }
        }
        for(int j = 0; j < c; j++){
            bd[dis][j] = dp[numIt][j];
            //cout<<bd[dis][j]<<" ";
            bld[0][j] = bd[0][j];
        }
        for(int i = max(1, dis); i < blkC; i++){
            for(int k = 0; k < c; k++){
                bld[i][k] = 0;
                for(int l = 0; l <= k; l++){
                    bld[i][k] += bld[i - 1][l]*bd[i][k - l];
                    bld[i][k] %= mod;
                }
            }
        }
        int cik = 0;
        for(int i = 0; i < c; i++){
            cik += bld[blkC - 1][i];
            cik %= mod;
        }
        //cout<<cik<<endl;
        cout<<(cur - cik + mod)%mod<<endl;
    }
    #ifdef Local
        cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
    #endif
}
# 결과 실행 시간 메모리 Grader output
1 Correct 25 ms 504 KB Output is correct
2 Correct 41 ms 504 KB Output is correct
3 Correct 49 ms 504 KB Output is correct
4 Correct 1455 ms 2524 KB Output is correct
5 Execution timed out 4019 ms 2396 KB Time limit exceeded
6 Execution timed out 4051 ms 2412 KB Time limit exceeded
7 Correct 2980 ms 3028 KB Output is correct
8 Correct 1753 ms 3908 KB Output is correct
9 Correct 3215 ms 4364 KB Output is correct
10 Execution timed out 4022 ms 3724 KB Time limit exceeded