Submission #128006

#	Time	Username	Problem	Language	Result	Execution time	Memory
128006		Plurm	Popeala (CEOI16_popeala)	C++11	100 / 100	1513 ms	18424 KiB

popeala

#include <bits/stdc++.h>
#define call(x) (1ll*dp[i-1][(x)-1] - 1ll*k*qs[(x)-1])
using namespace std;
char res[64][20005];
long long dp[64][20005];
long long cmask[20005];
int qs[20005];
int pts[20005];
long long ST[15][32768];
void build(){
    for(int j = 0; j < 32768; j++){
        ST[0][j] = j < 20005 ? cmask[j] : 0ll;
    }
    for(int i = 1; i < 15; i++){
        for(int j = 0; j + (1 << i) - 1 < 32768; j++){
            ST[i][j] = ST[i-1][j] & ST[i-1][j+(1<<(i-1))];
        }
    }
}
inline int query(int l, int r){
    int d = r-l+1;
    int k = log2(d);
    return __builtin_popcountll(ST[k][l] & ST[k][r-(1 << k)+1]);
}
int f[64][20005];
int main(){
    int n,t,s;
    scanf("%d%d%d",&n,&t,&s);
    for(int i = 1; i <= t; i++){
        scanf("%d",pts+i);
        qs[i] = qs[i-1] + pts[i];
    }
    for(int i = 0; i < n; i++){
        scanf("%s",res[i]+1);
    }
    for(int i = 1; i <= t; i++){
        long long mask = 0ll;
        for(int j = 0; j < n; j++){
            if(res[j][i] == '1') mask |= 1ll << j;
        }
        cmask[i] = mask;
    }
    build();
    for(int i = 1; i <= t; i++){
        for(int k = 0; k <= n+1; k++){
            int lo = 1;
            int hi = i;
            int mid;
            while(lo < hi){
                mid = (lo + hi)/2;
                if(query(mid, i) >= k){
                    hi = mid;
                }else{
                    lo = mid+1;
                }
            }
            if(query(lo, i) < k) f[k][i] = lo+1;
            else f[k][i] = lo;
        }
    }
    dp[1][0] = 1e18;
    long long initmask = cmask[1];
    for(int j = 1; j <= t; j++){
        initmask &= cmask[j];
        dp[1][j] = __builtin_popcountll(initmask) * qs[j];
    }
    printf("%lld\n",dp[1][t]);
    for(int i = 2; i <= s; i++){
        for(int j = 0; j < i; j++){
            dp[i][j] = 1e18;
        }
        for(int j = i; j <= t; j++){
            dp[i][j] = 2e9;
        }
        for(int k = 0; k <= n; k++){
            deque<int> dq; // Sliding window minimum
            int lastr = 0;
            for(int j = i; j <= t; j++){
                int l = f[k][j];
                int r = f[k+1][j];
                if(query(j,j) < k) continue;
                if(l >= r) continue;
                while(lastr < r){
                    while(!dq.empty() && call(dq.back()) > call(lastr)){
                        dq.pop_back();
                    }
                    dq.push_back(lastr);
                    lastr++;
                }
                while(!dq.empty() && dq.front() < l) dq.pop_front();
                if(!dq.empty())
                    dp[i][j] = min(dp[i][j], call(dq.front()) + 1ll*k*qs[j]);
            }
        }
        printf("%lld\n",dp[i][t]);
    }
    return 0;
}

Compilation message (stderr)

popeala.cpp: In function 'int main()':
popeala.cpp:28:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d%d%d",&n,&t,&s);
     ~~~~~^~~~~~~~~~~~~~~~~~~
popeala.cpp:30:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d",pts+i);
         ~~~~~^~~~~~~~~~~~
popeala.cpp:34:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%s",res[i]+1);
         ~~~~~^~~~~~~~~~~~~~~

• Subtask 1: 8 / 8
• Subtask 2: 9 / 9
• Subtask 3: 9 / 9
• Subtask 4: 74 / 74