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Submission #43849

# Submission time Handle Problem Language Result Execution time Memory
43849 2018-03-25T13:52:38 Z PowerOfNinjaGo Aliens (IOI16_aliens) C++14
4 / 100
 537 ms 94692 KB 
//Power Of Ninja Go
#include <bits/stdc++.h>
#ifdef atom
    #include "grader.cpp"
#else
    #include "aliens.h"
#endif
using namespace std;
typedef long long ll; typedef pair<int, int> ii;
#define X first
#define Y second
#define vi vector<int>
#define vii vector< ii >
#define pb push_back
struct line
{
    ll m, b;
    int k;
    line()
    {
        m = 0, b = 4e18; k = 0;
    }
    line(ll _m, ll _b, int _k)
    {
        m = _m; b = _b; k = _k;
    }
    ll f(int x){ return m*x+b; }
};
bool lessthan(line A, line B, int x)
{
    ll y1 = A.f(x), y2 = B.f(x);
    if(y1 != y2) return y1< y2;
    return A.k< B.k;
}
const int maxn = 1e5+5;
const int maxm = 1e6+5;
int n, m;
line st[4*maxm];
ll dp[maxn];
int opt[maxn];
void add(line t, int p = 1, int L = 0, int R = m-1)
{
    int M = (L+R)/2;
    bool lef = t.f(L) <= st[p].f(L);
    bool mid = t.f(M) <= st[p].f(M);
    if(mid) swap(t, st[p]);
    if(L == R) return;
    if(lef != mid) add(t, 2*p, L, M);
    else add(t, 2*p+1, M+1, R);
}
line ask(int x, int p = 1, int L = 0, int R = m-1)
{
    if(L == R) return st[p];
    int M = (L+R)/2;
    line h = st[p];
    line o;
    if(x<= M) o = ask(x, 2*p, L, M);
    else o = ask(x, 2*p+1, M+1, R);
    if(lessthan(h, o, x)) return h;
    return o;
}
vii vec, tmp;
vi r, c;
bool cmp(ii A, ii B)
{
    if(A.X != B.X) return A.X< B.X;
    return A.Y> B.Y;
}
pair<long long, int> trial(ll lambda)
{
    for(int i = 1; i< 4*maxm; i++) st[i] = line();
    add(line(-2LL*r[0], 1LL*r[0]*r[0]-2*r[0], 0));
    for(int i = 0; i< n; i++)
    {
        line res = ask(c[i]);
        //printf("use line %lld %lld\n", res.m, res.b);
        opt[i] = res.k+1;
        dp[i] = res.f(c[i])+1LL*c[i]*c[i]+2*c[i]+lambda+1;
        //printf("dp[%d] = %lld\n", i, dp[i]);
        //if(i+1< n) printf("push m = %lld b = %lld\n", -2LL*r[i+1], dp[i]+1LL*r[i+1]*r[i+1]-2*r[i+1]);
        if(i+1< n)
        {
            int mag = max(0, c[i]-r[i+1]+1);
            add(line(-2LL*r[i+1], dp[i]+1LL*r[i+1]*r[i+1]-2*r[i+1]-1LL*mag*mag, opt[i]));
        }
    }
    return make_pair(dp[n-1], opt[n-1]);
}
long long take_photos(int N, int M, int K, std::vector<int> R, std::vector<int> C)
{
    n = N; m = M;
    for(int i = 0; i< n; i++)
    {
        if(R[i]<= C[i]) vec.pb(ii(R[i], C[i]));
        else vec.pb(ii(C[i], R[i]));
    }
    tmp = vec;
    vec.clear();
    sort(tmp.begin(), tmp.end(), cmp);
    for(auto k : tmp)
    {
        if(vec.empty() || k.Y> vec.back().Y) vec.pb(k);
    }
    n = vec.size();
    for(int i = 0; i< n; i++) r.pb(vec[i].X), c.pb(vec[i].Y);
    //for(int i = 0; i< n; i++) printf("%d %d\n", r[i], c[i]);
    ll lo = 0, hi = 2LL*m*m;
    while(lo< hi)
    {
        ll mid = (lo+hi+1)/2;
        auto res = trial(mid);
        //printf("%lld: (%lld %d)\n", mid, res.X, res.Y);
        if(res.Y>= K) lo = mid;
        else hi = mid-1;
    }
    //printf("0: %lld %d\n", trial(0).X, trial(0).Y);
    return trial(lo).X-1LL*K*lo;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 174 ms 94328 KB Correct answer: answer = 4
2 Correct 152 ms 94432 KB Correct answer: answer = 4
3 Correct 172 ms 94468 KB Correct answer: answer = 4
4 Correct 201 ms 94548 KB Correct answer: answer = 12
5 Correct 248 ms 94548 KB Correct answer: answer = 52
6 Correct 275 ms 94548 KB Correct answer: answer = 210
7 Correct 234 ms 94552 KB Correct answer: answer = 88
8 Correct 380 ms 94552 KB Correct answer: answer = 7696
9 Correct 109 ms 94556 KB Correct answer: answer = 1
10 Correct 341 ms 94556 KB Correct answer: answer = 2374
11 Correct 387 ms 94556 KB Correct answer: answer = 9502
12 Correct 218 ms 94556 KB Correct answer: answer = 49
13 Correct 346 ms 94556 KB Correct answer: answer = 151
14 Correct 379 ms 94572 KB Correct answer: answer = 7550
15 Correct 383 ms 94588 KB Correct answer: answer = 7220
16 Correct 385 ms 94684 KB Correct answer: answer = 7550
17 Correct 387 ms 94684 KB Correct answer: answer = 10000
18 Correct 385 ms 94684 KB Correct answer: answer = 10000
19 Correct 385 ms 94684 KB Correct answer: answer = 624
20 Correct 387 ms 94684 KB Correct answer: answer = 10000

Subtask #2
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 130 ms 94684 KB Correct answer: answer = 1
2 Correct 174 ms 94684 KB Correct answer: answer = 4
3 Correct 174 ms 94688 KB Correct answer: answer = 1
4 Correct 194 ms 94688 KB Correct answer: answer = 5
5 Correct 297 ms 94688 KB Correct answer: answer = 41
6 Correct 532 ms 94688 KB Correct answer: answer = 71923
7 Correct 523 ms 94688 KB Correct answer: answer = 77137
8 Incorrect 537 ms 94692 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 174 ms 94328 KB Correct answer: answer = 4
2 Correct 152 ms 94432 KB Correct answer: answer = 4
3 Correct 172 ms 94468 KB Correct answer: answer = 4
4 Correct 201 ms 94548 KB Correct answer: answer = 12
5 Correct 248 ms 94548 KB Correct answer: answer = 52
6 Correct 275 ms 94548 KB Correct answer: answer = 210
7 Correct 234 ms 94552 KB Correct answer: answer = 88
8 Correct 380 ms 94552 KB Correct answer: answer = 7696
9 Correct 109 ms 94556 KB Correct answer: answer = 1
10 Correct 341 ms 94556 KB Correct answer: answer = 2374
11 Correct 387 ms 94556 KB Correct answer: answer = 9502
12 Correct 218 ms 94556 KB Correct answer: answer = 49
13 Correct 346 ms 94556 KB Correct answer: answer = 151
14 Correct 379 ms 94572 KB Correct answer: answer = 7550
15 Correct 383 ms 94588 KB Correct answer: answer = 7220
16 Correct 385 ms 94684 KB Correct answer: answer = 7550
17 Correct 387 ms 94684 KB Correct answer: answer = 10000
18 Correct 385 ms 94684 KB Correct answer: answer = 10000
19 Correct 385 ms 94684 KB Correct answer: answer = 624
20 Correct 387 ms 94684 KB Correct answer: answer = 10000
21 Correct 130 ms 94684 KB Correct answer: answer = 1
22 Correct 174 ms 94684 KB Correct answer: answer = 4
23 Correct 174 ms 94688 KB Correct answer: answer = 1
24 Correct 194 ms 94688 KB Correct answer: answer = 5
25 Correct 297 ms 94688 KB Correct answer: answer = 41
26 Correct 532 ms 94688 KB Correct answer: answer = 71923
27 Correct 523 ms 94688 KB Correct answer: answer = 77137
28 Incorrect 537 ms 94692 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 174 ms 94328 KB Correct answer: answer = 4
2 Correct 152 ms 94432 KB Correct answer: answer = 4
3 Correct 172 ms 94468 KB Correct answer: answer = 4
4 Correct 201 ms 94548 KB Correct answer: answer = 12
5 Correct 248 ms 94548 KB Correct answer: answer = 52
6 Correct 275 ms 94548 KB Correct answer: answer = 210
7 Correct 234 ms 94552 KB Correct answer: answer = 88
8 Correct 380 ms 94552 KB Correct answer: answer = 7696
9 Correct 109 ms 94556 KB Correct answer: answer = 1
10 Correct 341 ms 94556 KB Correct answer: answer = 2374
11 Correct 387 ms 94556 KB Correct answer: answer = 9502
12 Correct 218 ms 94556 KB Correct answer: answer = 49
13 Correct 346 ms 94556 KB Correct answer: answer = 151
14 Correct 379 ms 94572 KB Correct answer: answer = 7550
15 Correct 383 ms 94588 KB Correct answer: answer = 7220
16 Correct 385 ms 94684 KB Correct answer: answer = 7550
17 Correct 387 ms 94684 KB Correct answer: answer = 10000
18 Correct 385 ms 94684 KB Correct answer: answer = 10000
19 Correct 385 ms 94684 KB Correct answer: answer = 624
20 Correct 387 ms 94684 KB Correct answer: answer = 10000
21 Correct 130 ms 94684 KB Correct answer: answer = 1
22 Correct 174 ms 94684 KB Correct answer: answer = 4
23 Correct 174 ms 94688 KB Correct answer: answer = 1
24 Correct 194 ms 94688 KB Correct answer: answer = 5
25 Correct 297 ms 94688 KB Correct answer: answer = 41
26 Correct 532 ms 94688 KB Correct answer: answer = 71923
27 Correct 523 ms 94688 KB Correct answer: answer = 77137
28 Incorrect 537 ms 94692 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 174 ms 94328 KB Correct answer: answer = 4
2 Correct 152 ms 94432 KB Correct answer: answer = 4
3 Correct 172 ms 94468 KB Correct answer: answer = 4
4 Correct 201 ms 94548 KB Correct answer: answer = 12
5 Correct 248 ms 94548 KB Correct answer: answer = 52
6 Correct 275 ms 94548 KB Correct answer: answer = 210
7 Correct 234 ms 94552 KB Correct answer: answer = 88
8 Correct 380 ms 94552 KB Correct answer: answer = 7696
9 Correct 109 ms 94556 KB Correct answer: answer = 1
10 Correct 341 ms 94556 KB Correct answer: answer = 2374
11 Correct 387 ms 94556 KB Correct answer: answer = 9502
12 Correct 218 ms 94556 KB Correct answer: answer = 49
13 Correct 346 ms 94556 KB Correct answer: answer = 151
14 Correct 379 ms 94572 KB Correct answer: answer = 7550
15 Correct 383 ms 94588 KB Correct answer: answer = 7220
16 Correct 385 ms 94684 KB Correct answer: answer = 7550
17 Correct 387 ms 94684 KB Correct answer: answer = 10000
18 Correct 385 ms 94684 KB Correct answer: answer = 10000
19 Correct 385 ms 94684 KB Correct answer: answer = 624
20 Correct 387 ms 94684 KB Correct answer: answer = 10000
21 Correct 130 ms 94684 KB Correct answer: answer = 1
22 Correct 174 ms 94684 KB Correct answer: answer = 4
23 Correct 174 ms 94688 KB Correct answer: answer = 1
24 Correct 194 ms 94688 KB Correct answer: answer = 5
25 Correct 297 ms 94688 KB Correct answer: answer = 41
26 Correct 532 ms 94688 KB Correct answer: answer = 71923
27 Correct 523 ms 94688 KB Correct answer: answer = 77137
28 Incorrect 537 ms 94692 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 174 ms 94328 KB Correct answer: answer = 4
2 Correct 152 ms 94432 KB Correct answer: answer = 4
3 Correct 172 ms 94468 KB Correct answer: answer = 4
4 Correct 201 ms 94548 KB Correct answer: answer = 12
5 Correct 248 ms 94548 KB Correct answer: answer = 52
6 Correct 275 ms 94548 KB Correct answer: answer = 210
7 Correct 234 ms 94552 KB Correct answer: answer = 88
8 Correct 380 ms 94552 KB Correct answer: answer = 7696
9 Correct 109 ms 94556 KB Correct answer: answer = 1
10 Correct 341 ms 94556 KB Correct answer: answer = 2374
11 Correct 387 ms 94556 KB Correct answer: answer = 9502
12 Correct 218 ms 94556 KB Correct answer: answer = 49
13 Correct 346 ms 94556 KB Correct answer: answer = 151
14 Correct 379 ms 94572 KB Correct answer: answer = 7550
15 Correct 383 ms 94588 KB Correct answer: answer = 7220
16 Correct 385 ms 94684 KB Correct answer: answer = 7550
17 Correct 387 ms 94684 KB Correct answer: answer = 10000
18 Correct 385 ms 94684 KB Correct answer: answer = 10000
19 Correct 385 ms 94684 KB Correct answer: answer = 624
20 Correct 387 ms 94684 KB Correct answer: answer = 10000
21 Correct 130 ms 94684 KB Correct answer: answer = 1
22 Correct 174 ms 94684 KB Correct answer: answer = 4
23 Correct 174 ms 94688 KB Correct answer: answer = 1
24 Correct 194 ms 94688 KB Correct answer: answer = 5
25 Correct 297 ms 94688 KB Correct answer: answer = 41
26 Correct 532 ms 94688 KB Correct answer: answer = 71923
27 Correct 523 ms 94688 KB Correct answer: answer = 77137
28 Incorrect 537 ms 94692 KB Wrong answer: output = 759, expected = 764
29 Halted 0 ms 0 KB -