Submission #243164

# Submission time Handle Problem Language Result Execution time Memory
243164 2020-06-30T13:03:25 Z VEGAnn Svjetlost (COI18_svjetlost) C++14
40 / 100
949 ms 51672 KB
#include <bits/stdc++.h>
#define sz(x) ((int)x.size())
#define all(x) x.begin(),x.end()
#define PB push_back
using namespace std;
typedef long double ld;
const int N = 400100;
const ld E = 1e-7;
const ld pi = 3.1415926535897;
vector<ld> vc;
int n, pr[N], nt[N], x[N], y[N], nm[N], q;
ld st[4 * N], psh[4 * N];

ld sqr(ld xx) { return xx * xx;}

ld dist(ld x1, ld y1, ld x2, ld y2){
    return sqrt(sqr(x1 - x2) + sqr(y1 - y2));
}

void add(int i, int j){
    ld nw_x = x[j] - x[i];
    ld nw_y = y[j] - y[i];

    ld ang = atan2(nw_y, nw_x);

    if (ang < 0) ang += pi + pi;

    vc.PB(ang);

    ang += pi;

    if (ang >= pi + pi)
        ang -= pi + pi;

    vc.PB(ang);
}

void push(int v){
    if (psh[v] != 0){
        st[v] += psh[v];

        if (v + v + 1 < 4 * N){
            psh[v + v] += psh[v];
            psh[v + v + 1] += psh[v];
        }

        psh[v] = 0;
    }
}

void update(int v, int tl, int tr, int l, int r, ld val){
    push(v);

    if (l > r) return;

    if (tl == l && tr == r) {
        psh[v] += val;
        push(v);
        return;
    }

    int md = (tl + tr) >> 1;

    update(v + v, tl, md, l, min(r, md), val);
    update(v + v + 1, md + 1, tr, max(md + 1, l), r, val);

    st[v] = max(st[v + v], st[v + v + 1]);
}

void add_seg(int i, int j, ld val){
    ld nw_x = x[j] - x[i];
    ld nw_y = y[j] - y[i];

    ld ang = atan2(nw_y, nw_x);

    if (ang < 0) ang += pi + pi;

    int lf = lower_bound(all(vc), ang - E) - vc.begin();

    ang += pi;

    if (ang >= pi + pi)
        ang -= pi + pi;

    int rt = lower_bound(all(vc), ang - E) - vc.begin() - 1;

    if (vc[rt] + E > ang) {
        rt--;
        if (rt < 0)
            rt = sz(vc) - 1;
    }

    if (rt < 0) rt = sz(vc) - 1;

//    cerr << lf << " " << rt << '\n';

    if (lf <= rt){
        update(1, 0, sz(vc) - 1, lf, rt, val);
    } else {
        update(1, 0, sz(vc) - 1, lf, sz(vc) - 1, val);
        update(1, 0, sz(vc) - 1, 0, rt, val);
    }
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef _LOCAL
    freopen("in.txt","r",stdin);
#endif // _LOCAL

    cin >> n;

    for (int i = 0; i < n; i++) {
        cin >> x[i] >> y[i];
        pr[i] = (i - 1 + n) % n;
        nt[i] = (i + 1) % n;
    }

    for (int i = 0; i < n; i++)
        add(i, nt[i]);

    cin >> q;

    for (int i = 0; i < q; i++){
        cin >> nm[i]; nm[i]--;

        int id = nm[i];

        pr[nt[id]] = pr[id];
        nt[pr[id]] = nt[id];

        add(pr[id], nt[id]);
    }

    vc.PB(0);
    vc.PB(pi + pi);

    sort(all(vc));

//    int cnt = 1;
//
//    for (int i = 1; i < sz(vc); i++)
//        if (abs(vc[i] - vc[i - 1]) > E)
//            vc[cnt++] = vc[i];
//
//    vc.resize(cnt);

    for (int i = 0; i < n; i++){
        pr[i] = (i - 1 + n) % n;
        nt[i] = (i + 1) % n;
        add_seg(i, nt[i], dist(x[i], y[i], x[nt[i]], y[nt[i]]));
    }
    cout << fixed << setprecision(10) << st[1] << '\n';

    for (int i = 0; i < q; i++){
        int id = nm[i];

        add_seg(pr[id], id, -dist(x[pr[id]], y[pr[id]], x[id], y[id]));
        add_seg(id, nt[id], -dist(x[id], y[id], x[nt[id]], y[nt[id]]));

        pr[nt[id]] = pr[id];
        nt[pr[id]] = nt[id];

        add_seg(pr[id], nt[id], dist(x[pr[id]], y[pr[id]], x[nt[id]], y[nt[id]]));

        cout << fixed << setprecision(10) << st[1] << '\n';
    }

    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB 11 numbers
2 Correct 5 ms 384 KB 41 numbers
3 Correct 5 ms 384 KB 11 numbers
4 Correct 6 ms 512 KB 93 numbers
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB 11 numbers
2 Correct 5 ms 384 KB 41 numbers
3 Correct 5 ms 384 KB 11 numbers
4 Correct 6 ms 512 KB 93 numbers
5 Correct 8 ms 896 KB 101 numbers
6 Correct 16 ms 1408 KB 1201 numbers
7 Correct 18 ms 1536 KB 1556 numbers
8 Correct 24 ms 1664 KB 1996 numbers
9 Correct 21 ms 1536 KB 1960 numbers
10 Correct 21 ms 1536 KB 1991 numbers
11 Correct 22 ms 1536 KB 1963 numbers
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB found '32934.3604541195', expected '32934.3604541195', error '0.0000000000'
2 Correct 7 ms 896 KB found '31571636.3365447670', expected '31571636.3365447633', error '0.0000000000'
3 Correct 32 ms 4092 KB found '31442617.6286691166', expected '31442617.6286691241', error '0.0000000000'
4 Correct 58 ms 7664 KB found '31424400.0534066260', expected '31424400.0534067489', error '0.0000000000'
5 Correct 239 ms 29204 KB found '3142086769.6889743805', expected '3142086769.6889681816', error '0.0000000000'
6 Correct 224 ms 29152 KB found '3142076120.8714599609', expected '3142076120.8714694977', error '0.0000000000'
# Verdict Execution time Memory Grader output
1 Correct 19 ms 1408 KB 1001 numbers
2 Correct 174 ms 14800 KB 15001 numbers
3 Correct 465 ms 30096 KB 44445 numbers
4 Correct 413 ms 30216 KB 22223 numbers
5 Incorrect 949 ms 51672 KB 2217th numbers differ - expected: '1800653174.7576336861', found: '1800630958.3355422020', error = '0.0000123380'
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB 11 numbers
2 Correct 5 ms 384 KB 41 numbers
3 Correct 5 ms 384 KB 11 numbers
4 Correct 6 ms 512 KB 93 numbers
5 Correct 8 ms 896 KB 101 numbers
6 Correct 16 ms 1408 KB 1201 numbers
7 Correct 18 ms 1536 KB 1556 numbers
8 Correct 24 ms 1664 KB 1996 numbers
9 Correct 21 ms 1536 KB 1960 numbers
10 Correct 21 ms 1536 KB 1991 numbers
11 Correct 22 ms 1536 KB 1963 numbers
12 Correct 5 ms 384 KB found '32934.3604541195', expected '32934.3604541195', error '0.0000000000'
13 Correct 7 ms 896 KB found '31571636.3365447670', expected '31571636.3365447633', error '0.0000000000'
14 Correct 32 ms 4092 KB found '31442617.6286691166', expected '31442617.6286691241', error '0.0000000000'
15 Correct 58 ms 7664 KB found '31424400.0534066260', expected '31424400.0534067489', error '0.0000000000'
16 Correct 239 ms 29204 KB found '3142086769.6889743805', expected '3142086769.6889681816', error '0.0000000000'
17 Correct 224 ms 29152 KB found '3142076120.8714599609', expected '3142076120.8714694977', error '0.0000000000'
18 Correct 19 ms 1408 KB 1001 numbers
19 Correct 174 ms 14800 KB 15001 numbers
20 Correct 465 ms 30096 KB 44445 numbers
21 Correct 413 ms 30216 KB 22223 numbers
22 Incorrect 949 ms 51672 KB 2217th numbers differ - expected: '1800653174.7576336861', found: '1800630958.3355422020', error = '0.0000123380'