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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#659991#7906. Almost ConvexfosovWA 323ms4160kbC++142.4kb2024-10-20 01:26:412024-10-20 01:26:42

Judging History

你现在查看的是最新测评结果

  • [2024-10-20 01:26:42]
  • 评测
  • 测评结果:WA
  • 用时:323ms
  • 内存:4160kb
  • [2024-10-20 01:26:41]
  • 提交

answer

#include "bits/stdc++.h"
using namespace std;

#define ll long long
#define MOD ((int) (1e9) + 7)
#define pii pair<int, int>

#define N 2010

typedef pair<pii, int> pt;

pii vectorize(pii A, pii B) {
    return pii(B.first - A.first, B.second - A.second);
}

ll cross(pii v0, pii v1) {
    return 1ll * v0.first * v1.second - 1ll * v0.second * v1.first;
}

double deg[N];

void polar_sort(vector<pt>& arr, pii center) {
    for (auto [p, id] : arr) {
        auto v = vectorize(center, p);
        deg[id] = atan2(v.second, v.first);
    }
    sort(arr.begin(), arr.end(), [&](pt a, pt b) {
        return deg[a.second] < deg[b.second];        
    });
}

pt stk[N];
int nxt[N], onhull[N];

int main() {
#ifdef TEST
    freopen("zz.in", "r+", stdin);
#endif
    ios::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);

    int n; cin >> n;
    vector<pt> pts(n), ss;

    for (int i = 0; i < n; ++ i) {
        int x, y; cin >> x >> y;
        pts[i] = pt(pii(x, y), i);
        if (i != 0) ss.emplace_back(pts[i]);
    }
    polar_sort(ss, pts[0].first);

    int sz = 0;
    stk[++ sz] = pts[0];
    stk[++ sz] = ss[0];
    for (int i = 1; i < ss.size(); ++ i) {
        while (sz >= 2) {
            auto p0 = stk[sz - 1].first;
            auto p1 = stk[sz].first;
            auto p2 = ss[i].first;
            
            if (cross(vectorize(p0, p1), vectorize(p1, p2)) < 0) {
                -- sz;
                continue;
            }
            break;
        }
        stk[++ sz] = ss[i];
    }

    for (int i = 1; i <= sz; ++ i) {
        onhull[stk[i].second] = 1;
        nxt[stk[i].second] = i == sz ? stk[1].second : stk[i+1].second;
    }

    int res = 1;
    for (int i = 0; i < n; ++ i) {
        auto [p, id] = pts[i];
        if (onhull[id]) continue;

        ss.clear();
        for (int j = 0; j < n; ++ j) if (pts[j].second != id) ss.emplace_back(pts[j]);
        polar_sort(ss, p);

        int cont = 0;
        for (int j = 0; j < ss.size(); ++ j) {
            int k = j == ss.size()-1 ? 0 : j+1;
            int cont = 1;
            cont &= onhull[ss[j].second];
            cont &= onhull[ss[k].second];
            cont &= nxt[ss[j].second] == ss[k].second || nxt[ss[k].second] == ss[j].second;
            res += cont;
        }
    }

    cout << res << '\n';

    return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 4160kb

input:

7
1 4
4 0
2 3
3 1
3 5
0 0
2 4

output:

9

result:

ok 1 number(s): "9"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3984kb

input:

5
4 0
0 0
2 1
3 3
3 1

output:

5

result:

ok 1 number(s): "5"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3736kb

input:

3
0 0
3 0
0 3

output:

1

result:

ok 1 number(s): "1"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3924kb

input:

6
0 0
3 0
3 2
0 2
1 1
2 1

output:

7

result:

ok 1 number(s): "7"

Test #5:

score: 0
Accepted
time: 0ms
memory: 4160kb

input:

4
0 0
0 3
3 0
3 3

output:

1

result:

ok 1 number(s): "1"

Test #6:

score: -100
Wrong Answer
time: 323ms
memory: 4092kb

input:

2000
86166 617851
383354 -277127
844986 386868
-577988 453392
-341125 -386775
-543914 -210860
-429613 606701
-343534 893727
841399 339305
446761 -327040
-218558 -907983
787284 361823
950395 287044
-351577 -843823
-198755 138512
-306560 -483261
-487474 -857400
885637 -240518
-297576 603522
-748283 33...

output:

909

result:

wrong answer 1st numbers differ - expected: '718', found: '909'