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Submission #362746

# Submission time Handle Problem Language Result Execution time Memory
362746 2021-02-04T10:04:46 Z bigDuck Divide and conquer (IZhO14_divide) C++14
100 / 100
 94 ms 22380 KB 
#include<bits/stdc++.h>
using namespace std;
#define INIT  ios_base :: sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define mp make_pair
#define pb push_back
#define ft first
#define sc second
#define ll long long
#define pii pair<int, int>
#define count_bits __builtin_popcount
#define int ll

int n;
int x[100010], g[100010], d[100010];


int sum[100010];
int a[100010];
int e[100010];


int rmq[100010][21];
int lg2[100010];

void RMQ(){
    for(int i=0; i<=n;i++){
        rmq[i][0]=a[i];
    }
    for(int j=1; j<=20; j++){
        for(int i=0; (i+(1ll<<j)-1)<=n; i++){
            rmq[i][j]=min(rmq[i][j-1], rmq[i+(1ll<<(j-1) )][j-1]);
        }
    }

    int lg=0;
    for(int i=1; i<=n; i++){
        if(i>=(1<<(lg+1))){
            lg++;
        }
        lg2[i]=lg;
    }

}


int query(int l, int r){
    int lg=lg2[r-l+1];
    return min(rmq[l][lg], rmq[r-(1ll<<lg)+1][lg]);
}


int32_t main(){
INIT
cin>>n;
for(int i=1; i<=n;i++){
    cin>>x[i]>>g[i]>>d[i];
    sum[i]=sum[i-1]+g[i];
    e[i]=e[i-1]+d[i];
}

for(int i=0; i<n; i++){
    a[i]=e[i]-(x[i+1]-1);
}
a[0]=0;
RMQ();

int res=0;
for(int i=1; i<=n; i++){
    int l=0, r=i-1, m=(l+r)>>1ll;
    while(l<r){
        m=(l+r)>>1ll;
        if(query(0, m)<=(e[i]-x[i]) ){
            r=m;
        }
        else{
            l=(m+1);
        }
        m=(l+r)>>1ll;
    }

    res=max(res, sum[i]-sum[m]);

}
cout<<res;



return 0;
}

Subtask #1
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 508 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 508 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 492 KB Output is correct
17 Correct 1 ms 620 KB Output is correct
18 Correct 1 ms 620 KB Output is correct
19 Correct 1 ms 620 KB Output is correct
20 Correct 1 ms 620 KB Output is correct
21 Correct 1 ms 748 KB Output is correct
22 Correct 1 ms 876 KB Output is correct
23 Correct 3 ms 1516 KB Output is correct
24 Correct 3 ms 1516 KB Output is correct

Subtask #3
52.0 / 52.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 508 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 492 KB Output is correct
16 Correct 1 ms 492 KB Output is correct
17 Correct 1 ms 620 KB Output is correct
18 Correct 1 ms 620 KB Output is correct
19 Correct 1 ms 620 KB Output is correct
20 Correct 1 ms 620 KB Output is correct
21 Correct 1 ms 748 KB Output is correct
22 Correct 1 ms 876 KB Output is correct
23 Correct 3 ms 1516 KB Output is correct
24 Correct 3 ms 1516 KB Output is correct
25 Correct 3 ms 1516 KB Output is correct
26 Correct 5 ms 2540 KB Output is correct
27 Correct 7 ms 2540 KB Output is correct
28 Correct 33 ms 11372 KB Output is correct
29 Correct 35 ms 11372 KB Output is correct
30 Correct 94 ms 22252 KB Output is correct
31 Correct 71 ms 22252 KB Output is correct
32 Correct 79 ms 22380 KB Output is correct
33 Correct 84 ms 22252 KB Output is correct
34 Correct 77 ms 22252 KB Output is correct
35 Correct 77 ms 22252 KB Output is correct
36 Correct 81 ms 22252 KB Output is correct