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Submission #43045

# Submission time Handle Problem Language Result Execution time Memory
43045 2018-03-08T09:00:28 Z top34051 Aliens (IOI16_aliens) C++14
4 / 100
 4 ms 2924 KB 
#include "aliens.h"
#include<bits/stdc++.h>
using namespace std;

#define ll long long
#define pii pair<ll,ll>
#define X first
#define Y second
const int maxn = 1e5 + 5;

struct line {
    ll m,c;
    int id;
    line(ll _m = 0, ll _c = 0, int _id = 0) {
        m = _m; c = _c; id = _id;
    }
};

int n,m,k;
pii p[maxn];
int r[maxn], c[maxn];
ll dp[maxn];
int cnt[maxn];
line cht[maxn];

bool cmp(pii x, pii y) {
    if(x.X!=y.X) return x.X<y.X;
    return x.Y>y.Y;
}

ll p2(ll x) { return x*x; }

long double cut(int x, int y) {
    if(x==0 || y==0) return -2e16;
    return (long double)(cht[y].c-cht[x].c)/(cht[x].m-cht[y].m);
}


int solve(ll cost) {
    int len = 0;
    for(int x=1;x<=n;x++) {
        cht[++len] = line(-2*r[x], p2(r[x]) + dp[x-1] - p2(max(0,c[x-1]-r[x])),x-1);
        while(len>=3 && cut(len-2,len)<cut(len-1,len)) cht[len-1] = cht[len], len--;
        int l = 2, r = len, mid, pos = 1;
        while(l<=r) {
            int mid = (l+r)/2;
            if(cut(mid-1,mid)<=c[x]) pos = mid, l = mid+1;
            else r = mid-1;
        }
        dp[x] = cht[pos].m*c[x] + cht[pos].c + p2(c[x]) + cost;
        cnt[x] = cnt[cht[pos].id] + 1;
//        printf("dp %d %d = %lld\n",x,t,dp[x][t]);
    }
    return cnt[n];
}

long long take_photos(int N, int M, int K, std::vector<int> R, std::vector<int> C) {
	n = N; m = M; k = K;
	//prep
	for(int i=0;i<n;i++) {
        p[i] = {R[i],C[i]};
        if(p[i].X>p[i].Y) swap(p[i].X,p[i].Y);
	}
	sort(p,p+n,cmp);
    ll cur = -1, sz = 0;
	for(int i=0;i<n;i++) {
        if(p[i].Y<=cur) continue;
        sz++;
        r[sz] = p[i].X; c[sz] = p[i].Y+1;
        cur = p[i].Y;
	}
	n = sz;
	//bsearch
	ll l = 0, r = 1e13, mid, pos;
	while(l<r) {
        mid = (l+r)/2;
        if(solve(mid)<=k) r = mid;
        else l = mid+1;
	}
	solve(l);
    return dp[n] - l*k;
}

Compilation message

aliens.cpp: In function 'int solve(long long int)':
aliens.cpp:44:29: warning: unused variable 'mid' [-Wunused-variable]
         int l = 2, r = len, mid, pos = 1;
                             ^
aliens.cpp: In function 'long long int take_photos(int, int, int, std::vector<int>, std::vector<int>)':
aliens.cpp:74:27: warning: unused variable 'pos' [-Wunused-variable]
  ll l = 0, r = 1e13, mid, pos;
                           ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2596 KB Correct answer: answer = 4
2 Correct 3 ms 2784 KB Correct answer: answer = 4
3 Correct 3 ms 2784 KB Correct answer: answer = 4
4 Correct 3 ms 2916 KB Correct answer: answer = 12
5 Correct 3 ms 2916 KB Correct answer: answer = 52
6 Correct 3 ms 2916 KB Correct answer: answer = 210
7 Correct 3 ms 2916 KB Correct answer: answer = 88
8 Correct 3 ms 2916 KB Correct answer: answer = 7696
9 Correct 3 ms 2924 KB Correct answer: answer = 1
10 Correct 3 ms 2924 KB Correct answer: answer = 2374
11 Correct 3 ms 2924 KB Correct answer: answer = 9502
12 Correct 3 ms 2924 KB Correct answer: answer = 49
13 Correct 3 ms 2924 KB Correct answer: answer = 151
14 Correct 3 ms 2924 KB Correct answer: answer = 7550
15 Correct 3 ms 2924 KB Correct answer: answer = 7220
16 Correct 4 ms 2924 KB Correct answer: answer = 7550
17 Correct 3 ms 2924 KB Correct answer: answer = 10000
18 Correct 3 ms 2924 KB Correct answer: answer = 10000
19 Correct 3 ms 2924 KB Correct answer: answer = 624
20 Correct 3 ms 2924 KB Correct answer: answer = 10000

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2924 KB Correct answer: answer = 1
2 Correct 3 ms 2924 KB Correct answer: answer = 4
3 Correct 3 ms 2924 KB Correct answer: answer = 1
4 Correct 4 ms 2924 KB Correct answer: answer = 5
5 Incorrect 3 ms 2924 KB Wrong answer: output = 83, expected = 41
6 Halted 0 ms 0 KB -

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2596 KB Correct answer: answer = 4
2 Correct 3 ms 2784 KB Correct answer: answer = 4
3 Correct 3 ms 2784 KB Correct answer: answer = 4
4 Correct 3 ms 2916 KB Correct answer: answer = 12
5 Correct 3 ms 2916 KB Correct answer: answer = 52
6 Correct 3 ms 2916 KB Correct answer: answer = 210
7 Correct 3 ms 2916 KB Correct answer: answer = 88
8 Correct 3 ms 2916 KB Correct answer: answer = 7696
9 Correct 3 ms 2924 KB Correct answer: answer = 1
10 Correct 3 ms 2924 KB Correct answer: answer = 2374
11 Correct 3 ms 2924 KB Correct answer: answer = 9502
12 Correct 3 ms 2924 KB Correct answer: answer = 49
13 Correct 3 ms 2924 KB Correct answer: answer = 151
14 Correct 3 ms 2924 KB Correct answer: answer = 7550
15 Correct 3 ms 2924 KB Correct answer: answer = 7220
16 Correct 4 ms 2924 KB Correct answer: answer = 7550
17 Correct 3 ms 2924 KB Correct answer: answer = 10000
18 Correct 3 ms 2924 KB Correct answer: answer = 10000
19 Correct 3 ms 2924 KB Correct answer: answer = 624
20 Correct 3 ms 2924 KB Correct answer: answer = 10000
21 Correct 3 ms 2924 KB Correct answer: answer = 1
22 Correct 3 ms 2924 KB Correct answer: answer = 4
23 Correct 3 ms 2924 KB Correct answer: answer = 1
24 Correct 4 ms 2924 KB Correct answer: answer = 5
25 Incorrect 3 ms 2924 KB Wrong answer: output = 83, expected = 41
26 Halted 0 ms 0 KB -

Subtask #4
0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2596 KB Correct answer: answer = 4
2 Correct 3 ms 2784 KB Correct answer: answer = 4
3 Correct 3 ms 2784 KB Correct answer: answer = 4
4 Correct 3 ms 2916 KB Correct answer: answer = 12
5 Correct 3 ms 2916 KB Correct answer: answer = 52
6 Correct 3 ms 2916 KB Correct answer: answer = 210
7 Correct 3 ms 2916 KB Correct answer: answer = 88
8 Correct 3 ms 2916 KB Correct answer: answer = 7696
9 Correct 3 ms 2924 KB Correct answer: answer = 1
10 Correct 3 ms 2924 KB Correct answer: answer = 2374
11 Correct 3 ms 2924 KB Correct answer: answer = 9502
12 Correct 3 ms 2924 KB Correct answer: answer = 49
13 Correct 3 ms 2924 KB Correct answer: answer = 151
14 Correct 3 ms 2924 KB Correct answer: answer = 7550
15 Correct 3 ms 2924 KB Correct answer: answer = 7220
16 Correct 4 ms 2924 KB Correct answer: answer = 7550
17 Correct 3 ms 2924 KB Correct answer: answer = 10000
18 Correct 3 ms 2924 KB Correct answer: answer = 10000
19 Correct 3 ms 2924 KB Correct answer: answer = 624
20 Correct 3 ms 2924 KB Correct answer: answer = 10000
21 Correct 3 ms 2924 KB Correct answer: answer = 1
22 Correct 3 ms 2924 KB Correct answer: answer = 4
23 Correct 3 ms 2924 KB Correct answer: answer = 1
24 Correct 4 ms 2924 KB Correct answer: answer = 5
25 Incorrect 3 ms 2924 KB Wrong answer: output = 83, expected = 41
26 Halted 0 ms 0 KB -

Subtask #5
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2596 KB Correct answer: answer = 4
2 Correct 3 ms 2784 KB Correct answer: answer = 4
3 Correct 3 ms 2784 KB Correct answer: answer = 4
4 Correct 3 ms 2916 KB Correct answer: answer = 12
5 Correct 3 ms 2916 KB Correct answer: answer = 52
6 Correct 3 ms 2916 KB Correct answer: answer = 210
7 Correct 3 ms 2916 KB Correct answer: answer = 88
8 Correct 3 ms 2916 KB Correct answer: answer = 7696
9 Correct 3 ms 2924 KB Correct answer: answer = 1
10 Correct 3 ms 2924 KB Correct answer: answer = 2374
11 Correct 3 ms 2924 KB Correct answer: answer = 9502
12 Correct 3 ms 2924 KB Correct answer: answer = 49
13 Correct 3 ms 2924 KB Correct answer: answer = 151
14 Correct 3 ms 2924 KB Correct answer: answer = 7550
15 Correct 3 ms 2924 KB Correct answer: answer = 7220
16 Correct 4 ms 2924 KB Correct answer: answer = 7550
17 Correct 3 ms 2924 KB Correct answer: answer = 10000
18 Correct 3 ms 2924 KB Correct answer: answer = 10000
19 Correct 3 ms 2924 KB Correct answer: answer = 624
20 Correct 3 ms 2924 KB Correct answer: answer = 10000
21 Correct 3 ms 2924 KB Correct answer: answer = 1
22 Correct 3 ms 2924 KB Correct answer: answer = 4
23 Correct 3 ms 2924 KB Correct answer: answer = 1
24 Correct 4 ms 2924 KB Correct answer: answer = 5
25 Incorrect 3 ms 2924 KB Wrong answer: output = 83, expected = 41
26 Halted 0 ms 0 KB -

Subtask #6
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2596 KB Correct answer: answer = 4
2 Correct 3 ms 2784 KB Correct answer: answer = 4
3 Correct 3 ms 2784 KB Correct answer: answer = 4
4 Correct 3 ms 2916 KB Correct answer: answer = 12
5 Correct 3 ms 2916 KB Correct answer: answer = 52
6 Correct 3 ms 2916 KB Correct answer: answer = 210
7 Correct 3 ms 2916 KB Correct answer: answer = 88
8 Correct 3 ms 2916 KB Correct answer: answer = 7696
9 Correct 3 ms 2924 KB Correct answer: answer = 1
10 Correct 3 ms 2924 KB Correct answer: answer = 2374
11 Correct 3 ms 2924 KB Correct answer: answer = 9502
12 Correct 3 ms 2924 KB Correct answer: answer = 49
13 Correct 3 ms 2924 KB Correct answer: answer = 151
14 Correct 3 ms 2924 KB Correct answer: answer = 7550
15 Correct 3 ms 2924 KB Correct answer: answer = 7220
16 Correct 4 ms 2924 KB Correct answer: answer = 7550
17 Correct 3 ms 2924 KB Correct answer: answer = 10000
18 Correct 3 ms 2924 KB Correct answer: answer = 10000
19 Correct 3 ms 2924 KB Correct answer: answer = 624
20 Correct 3 ms 2924 KB Correct answer: answer = 10000
21 Correct 3 ms 2924 KB Correct answer: answer = 1
22 Correct 3 ms 2924 KB Correct answer: answer = 4
23 Correct 3 ms 2924 KB Correct answer: answer = 1
24 Correct 4 ms 2924 KB Correct answer: answer = 5
25 Incorrect 3 ms 2924 KB Wrong answer: output = 83, expected = 41
26 Halted 0 ms 0 KB -