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Submission #505096

# Submission time Handle Problem Language Result Execution time Memory
505096 2022-01-10T13:43:46 Z HappyPacMan Aliens (IOI16_aliens) C++14
4 / 100
 3 ms 1484 KB 
#include "aliens.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 1e5 + 6;
const ll INF = 1e12;
ll dp[MAXN];
int opt[MAXN];
vector<pair<ll,ll> > inter;

struct Line{
    int id;
    ll m,c;
    ll f(ll x){
        return m*x+c;
    }
};
vector<Line> cht;
bool check(Line f1,Line f2,Line f3){
    return (f1.c-f3.c)*(f1.m-f2.m) > (f1.c-f2.c)*(f1.m-f3.m);
}
void ins(Line fn){
    while(cht.size() > 1 && check(cht[cht.size()-2],cht.back(),fn)){
        cht.pop_back();
    }
    cht.push_back(fn);
}
Line query(ll x){
    int l=0,r=cht.size()-1;
    while(l < r){
        int m = (l+r)/2;
        if(cht[m].f(x) <= cht[m+1].f(x)) r = m;
        else l = m+1;
    }
    return cht[l];
}

int run(ll cost){
    memset(dp,1,sizeof(dp));
    memset(opt,1,sizeof(opt));
    dp[0] = opt[0] = 0;
    ins({0,-2*inter[0].first,inter[0].first*inter[0].first});
    for(int i=0;i<inter.size();i++){
        Line q = query(inter[i].second);
        ll nx = cost+inter[i].second*inter[i].second+q.f(inter[i].second);
        if(nx < dp[i+1]){
            dp[i+1] = nx;
            opt[i+1] = q.id;
        }
        if(i+1 < inter.size()){
            if(inter[i+1].first <= inter[i].second) ins({i+1,-2*inter[i+1].first,dp[i+1]-inter[i].second*(inter[i].second-2*inter[i+1].first)});
            else ins({i+1,-2*inter[i+1].first,dp[i+1]+inter[i+1].first*inter[i+1].first});
        }
    }
    cht.clear();
    int cnt=0,idx=inter.size();
    while(idx > 0){
        idx = opt[idx];
        cnt++;
    }
    return cnt;
}

ll take_photos(int n,int m,int k,vector<int> r,vector<int> c){
    for(int i=0;i<n;i++) inter.emplace_back(1ll*min(r[i],c[i]),1ll*max(r[i],c[i])+1);
    sort(inter.begin(),inter.end());
    vector<pair<ll,ll> > temp;
    for(int i=0;i<n;i++){
        while(temp.size() > 0 && temp.back().first == inter[i].first && temp.back().second <= inter[i].second) temp.pop_back();
        if(temp.empty() || temp.back().second < inter[i].second) temp.push_back(inter[i]);
    }
    swap(temp,inter);
    k = min(k,(int)inter.size());
    ll L=0,R=INF;
    while(L < R){
        ll M = (L+R+1)/2;
        if(run(M) < k) R = M-1;
        else L = M;
    }
    run(L);
    return dp[inter.size()]-L*k;
}

Compilation message

aliens.cpp: In function 'int run(ll)':
aliens.cpp:43:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |     for(int i=0;i<inter.size();i++){
      |                 ~^~~~~~~~~~~~~
aliens.cpp:50:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |         if(i+1 < inter.size()){
      |            ~~~~^~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB Correct answer: answer = 4
2 Correct 2 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 4
4 Correct 3 ms 1356 KB Correct answer: answer = 12
5 Correct 3 ms 1356 KB Correct answer: answer = 52
6 Correct 2 ms 1356 KB Correct answer: answer = 210
7 Correct 2 ms 1356 KB Correct answer: answer = 88
8 Correct 2 ms 1356 KB Correct answer: answer = 7696
9 Correct 2 ms 1356 KB Correct answer: answer = 1
10 Correct 2 ms 1356 KB Correct answer: answer = 2374
11 Correct 2 ms 1356 KB Correct answer: answer = 9502
12 Correct 2 ms 1356 KB Correct answer: answer = 49
13 Correct 2 ms 1356 KB Correct answer: answer = 151
14 Correct 2 ms 1356 KB Correct answer: answer = 7550
15 Correct 2 ms 1356 KB Correct answer: answer = 7220
16 Correct 2 ms 1356 KB Correct answer: answer = 7550
17 Correct 2 ms 1356 KB Correct answer: answer = 10000
18 Correct 2 ms 1356 KB Correct answer: answer = 10000
19 Correct 2 ms 1356 KB Correct answer: answer = 624
20 Correct 2 ms 1356 KB Correct answer: answer = 10000

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1356 KB Correct answer: answer = 1
2 Correct 3 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 1
4 Correct 3 ms 1356 KB Correct answer: answer = 5
5 Correct 2 ms 1356 KB Correct answer: answer = 41
6 Correct 2 ms 1452 KB Correct answer: answer = 71923
7 Correct 3 ms 1484 KB Correct answer: answer = 77137
8 Incorrect 3 ms 1444 KB Wrong answer: output = 759, expected = 764
9 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB Correct answer: answer = 4
2 Correct 2 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 4
4 Correct 3 ms 1356 KB Correct answer: answer = 12
5 Correct 3 ms 1356 KB Correct answer: answer = 52
6 Correct 2 ms 1356 KB Correct answer: answer = 210
7 Correct 2 ms 1356 KB Correct answer: answer = 88
8 Correct 2 ms 1356 KB Correct answer: answer = 7696
9 Correct 2 ms 1356 KB Correct answer: answer = 1
10 Correct 2 ms 1356 KB Correct answer: answer = 2374
11 Correct 2 ms 1356 KB Correct answer: answer = 9502
12 Correct 2 ms 1356 KB Correct answer: answer = 49
13 Correct 2 ms 1356 KB Correct answer: answer = 151
14 Correct 2 ms 1356 KB Correct answer: answer = 7550
15 Correct 2 ms 1356 KB Correct answer: answer = 7220
16 Correct 2 ms 1356 KB Correct answer: answer = 7550
17 Correct 2 ms 1356 KB Correct answer: answer = 10000
18 Correct 2 ms 1356 KB Correct answer: answer = 10000
19 Correct 2 ms 1356 KB Correct answer: answer = 624
20 Correct 2 ms 1356 KB Correct answer: answer = 10000
21 Correct 2 ms 1356 KB Correct answer: answer = 1
22 Correct 3 ms 1356 KB Correct answer: answer = 4
23 Correct 2 ms 1356 KB Correct answer: answer = 1
24 Correct 3 ms 1356 KB Correct answer: answer = 5
25 Correct 2 ms 1356 KB Correct answer: answer = 41
26 Correct 2 ms 1452 KB Correct answer: answer = 71923
27 Correct 3 ms 1484 KB Correct answer: answer = 77137
28 Incorrect 3 ms 1444 KB Wrong answer: output = 759, expected = 764
29 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB Correct answer: answer = 4
2 Correct 2 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 4
4 Correct 3 ms 1356 KB Correct answer: answer = 12
5 Correct 3 ms 1356 KB Correct answer: answer = 52
6 Correct 2 ms 1356 KB Correct answer: answer = 210
7 Correct 2 ms 1356 KB Correct answer: answer = 88
8 Correct 2 ms 1356 KB Correct answer: answer = 7696
9 Correct 2 ms 1356 KB Correct answer: answer = 1
10 Correct 2 ms 1356 KB Correct answer: answer = 2374
11 Correct 2 ms 1356 KB Correct answer: answer = 9502
12 Correct 2 ms 1356 KB Correct answer: answer = 49
13 Correct 2 ms 1356 KB Correct answer: answer = 151
14 Correct 2 ms 1356 KB Correct answer: answer = 7550
15 Correct 2 ms 1356 KB Correct answer: answer = 7220
16 Correct 2 ms 1356 KB Correct answer: answer = 7550
17 Correct 2 ms 1356 KB Correct answer: answer = 10000
18 Correct 2 ms 1356 KB Correct answer: answer = 10000
19 Correct 2 ms 1356 KB Correct answer: answer = 624
20 Correct 2 ms 1356 KB Correct answer: answer = 10000
21 Correct 2 ms 1356 KB Correct answer: answer = 1
22 Correct 3 ms 1356 KB Correct answer: answer = 4
23 Correct 2 ms 1356 KB Correct answer: answer = 1
24 Correct 3 ms 1356 KB Correct answer: answer = 5
25 Correct 2 ms 1356 KB Correct answer: answer = 41
26 Correct 2 ms 1452 KB Correct answer: answer = 71923
27 Correct 3 ms 1484 KB Correct answer: answer = 77137
28 Incorrect 3 ms 1444 KB Wrong answer: output = 759, expected = 764
29 Halted 0 ms 0 KB -

Subtask #5
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB Correct answer: answer = 4
2 Correct 2 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 4
4 Correct 3 ms 1356 KB Correct answer: answer = 12
5 Correct 3 ms 1356 KB Correct answer: answer = 52
6 Correct 2 ms 1356 KB Correct answer: answer = 210
7 Correct 2 ms 1356 KB Correct answer: answer = 88
8 Correct 2 ms 1356 KB Correct answer: answer = 7696
9 Correct 2 ms 1356 KB Correct answer: answer = 1
10 Correct 2 ms 1356 KB Correct answer: answer = 2374
11 Correct 2 ms 1356 KB Correct answer: answer = 9502
12 Correct 2 ms 1356 KB Correct answer: answer = 49
13 Correct 2 ms 1356 KB Correct answer: answer = 151
14 Correct 2 ms 1356 KB Correct answer: answer = 7550
15 Correct 2 ms 1356 KB Correct answer: answer = 7220
16 Correct 2 ms 1356 KB Correct answer: answer = 7550
17 Correct 2 ms 1356 KB Correct answer: answer = 10000
18 Correct 2 ms 1356 KB Correct answer: answer = 10000
19 Correct 2 ms 1356 KB Correct answer: answer = 624
20 Correct 2 ms 1356 KB Correct answer: answer = 10000
21 Correct 2 ms 1356 KB Correct answer: answer = 1
22 Correct 3 ms 1356 KB Correct answer: answer = 4
23 Correct 2 ms 1356 KB Correct answer: answer = 1
24 Correct 3 ms 1356 KB Correct answer: answer = 5
25 Correct 2 ms 1356 KB Correct answer: answer = 41
26 Correct 2 ms 1452 KB Correct answer: answer = 71923
27 Correct 3 ms 1484 KB Correct answer: answer = 77137
28 Incorrect 3 ms 1444 KB Wrong answer: output = 759, expected = 764
29 Halted 0 ms 0 KB -

Subtask #6
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 1356 KB Correct answer: answer = 4
2 Correct 2 ms 1356 KB Correct answer: answer = 4
3 Correct 2 ms 1356 KB Correct answer: answer = 4
4 Correct 3 ms 1356 KB Correct answer: answer = 12
5 Correct 3 ms 1356 KB Correct answer: answer = 52
6 Correct 2 ms 1356 KB Correct answer: answer = 210
7 Correct 2 ms 1356 KB Correct answer: answer = 88
8 Correct 2 ms 1356 KB Correct answer: answer = 7696
9 Correct 2 ms 1356 KB Correct answer: answer = 1
10 Correct 2 ms 1356 KB Correct answer: answer = 2374
11 Correct 2 ms 1356 KB Correct answer: answer = 9502
12 Correct 2 ms 1356 KB Correct answer: answer = 49
13 Correct 2 ms 1356 KB Correct answer: answer = 151
14 Correct 2 ms 1356 KB Correct answer: answer = 7550
15 Correct 2 ms 1356 KB Correct answer: answer = 7220
16 Correct 2 ms 1356 KB Correct answer: answer = 7550
17 Correct 2 ms 1356 KB Correct answer: answer = 10000
18 Correct 2 ms 1356 KB Correct answer: answer = 10000
19 Correct 2 ms 1356 KB Correct answer: answer = 624
20 Correct 2 ms 1356 KB Correct answer: answer = 10000
21 Correct 2 ms 1356 KB Correct answer: answer = 1
22 Correct 3 ms 1356 KB Correct answer: answer = 4
23 Correct 2 ms 1356 KB Correct answer: answer = 1
24 Correct 3 ms 1356 KB Correct answer: answer = 5
25 Correct 2 ms 1356 KB Correct answer: answer = 41
26 Correct 2 ms 1452 KB Correct answer: answer = 71923
27 Correct 3 ms 1484 KB Correct answer: answer = 77137
28 Incorrect 3 ms 1444 KB Wrong answer: output = 759, expected = 764
29 Halted 0 ms 0 KB -