oj.uz

Submission #714042

# Submission time Handle Problem Language Result Execution time Memory
714042 2023-03-23T16:12:13 Z whqkrtk04 None (KOI16_dist) C++17
100 / 100
 375 ms 3968 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef pair<ll, ll> pll;
typedef pair<ll, pll> plll;
#define fi first
#define se second
const int INF = 1e9+1;
const int P = 1000000007;
const ll LLINF = (ll)1e18+1;
template <typename T>
istream& operator>>(istream& is, vector<T>& v) { for(auto &i : v) is >> i; return is; }
template <typename T1, typename T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) { os << p.fi << " " << p.se; return os; }
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) { for(auto i : v) os << i << " "; os << "\n"; return os; }
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rnd(x, y) uniform_int_distribution<int>(x, y)(rng)

ll mod(ll a, ll b) { return ((a%b) + b) % b; }
ll ext_gcd(ll a, ll b, ll &x, ll &y) {
    ll g = a; x = 1, y = 0;
    if(b) g = ext_gcd(b, a % b, y, x), y -= a / b * x;
    return g;
}
ll inv(ll a, ll m) {
    ll x, y; ll g = ext_gcd(a, m, x, y);
    if(g > 1) return -1;
    return mod(x, m);
}

struct Point {
    ll x, y;
    Point(ll x, ll y) : x(x), y(y) {}
};
ostream& operator<<(ostream& out, Point a) {
    cout << '(' << a.x << ' ' << a.y << ')';
    return out;
}
int ccw(Point a, Point b, Point c) {
    ll x = (b.x - a.x) * (c.y - b.y) - (c.x - b.x) * (b.y - a.y);
    return (int)(x > 0) - (int)(x < 0);
}
bool operator<(Point a, Point b) {
    if (a.x == b.x) return a.y < b.y;
    return a.x < b.x;
}
bool operator>(Point a, Point b) {
    return b < a;
}
bool operator<=(Point a, Point b) {
    return (a < b) || (a.x == b.x && a.y == b.y);
}
Point operator-(Point a, Point b) {
	return {a.x - b.x, a.y - b.y};
}
ll operator/(Point a, Point b){
	return a.x * b.y - a.y * b.x;
}
bool intersect(Point p1, Point p2, Point p3, Point p4) {
    int r1 = ccw(p1, p2, p3) * ccw(p1, p2, p4);
    int r2 = ccw(p3, p4, p1) * ccw(p3, p4, p2);
    if (r1 == 0 && r2 == 0) {
        if (p1 > p2) swap(p1, p2);
        if (p3 > p4) swap(p3, p4);
        return (!(p2 < p3 || p4 < p1) ? 1 : 0);
    } else {
        return (r1 <= 0 && r2 <= 0 ? 1 : 0);
    }
}

ll dst(Point p, Point q) {
    return (p.x-q.x)*(p.x-q.x)+(p.y-q.y)*(p.y-q.y);
}

vector<Point> convex_hull(vector<Point> A) {
    assert(A.size() >= 2);
    vector<Point> hull;
    swap(A[0], *min_element(A.begin(), A.end()));
    sort(A.begin()+1, A.end(), [&](Point a, Point b) {
        ll cw = ccw(A[0], a, b);
        if(cw) return cw > 0;
        return dst(A[0], a) < dst(A[0], b);
    });
    for(auto &i : A) {
        while(hull.size() >= 2 && ccw(hull[hull.size()-2], hull.back(), i) <= 0) hull.pop_back();
        hull.push_back(i);
    }
    return hull;
}

ll rotating_calipers(vector<Point> A) {
	// A[0] should be mininum element, A should be a convex polygon and sorted in ccw
	int n = A.size(); A.push_back(A[0]);
    ll ret = 0LL;
    int l = 0, r = 0;
    while(l < n) {
        // A[l], A[r] are antipodal points
        // your code here
        ret = max(ret, dst(A[l], A[r]));
        if(r+1 == l || (A[l+1]-A[l])/(A[r+1]-A[r]) <= 0) l++;
        else r++;
    }
    return ret;
}

ll solve(int n, int t, vector<pii>& IXY, vector<pii>& DXY) {
    vector<Point> XY;
    for(int i = 0; i < n; i++) {
        Point p = {0, 0};
        p.x = IXY[i].fi+(ll)t*DXY[i].fi;
        p.y = IXY[i].se+(ll)t*DXY[i].se;
        XY.push_back(p);
    }
    vector<Point> hull = convex_hull(XY);
    return rotating_calipers(hull);
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n, t; cin >> n >> t;
    vector<pii> IXY(n), DXY(n);
    for(int i = 0; i < n; i++)
        cin >> IXY[i].fi >> IXY[i].se >> DXY[i].fi >> DXY[i].se;
    int l = 0, r = t;
    while(r-l >= 10) {
        int s = (l*2+r)/3, e = (l+r*2)/3;
        ll ss = solve(n, s, IXY, DXY);
        ll ee = solve(n, e, IXY, DXY);
        if(ss <= ee) r = e;
        else l = s;
    }
    int res = -1;
    ll ans = LLINF;
    for(int i = l; i <= r; i++) {
        ll tmp = solve(n, i, IXY, DXY);
        if(tmp < ans) ans = tmp, res = i;
    }
    cout << res << "\n" << ans << "\n";
    return 0;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 8 ms 340 KB Output is correct
12 Correct 11 ms 340 KB Output is correct
13 Correct 7 ms 340 KB Output is correct
14 Correct 9 ms 392 KB Output is correct
15 Correct 8 ms 384 KB Output is correct
16 Correct 14 ms 420 KB Output is correct
17 Correct 8 ms 388 KB Output is correct
18 Correct 5 ms 340 KB Output is correct
19 Correct 6 ms 340 KB Output is correct
20 Correct 9 ms 340 KB Output is correct

Subtask #3
39.0 / 39.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 1876 KB Output is correct
2 Correct 69 ms 1832 KB Output is correct
3 Correct 79 ms 1832 KB Output is correct
4 Correct 65 ms 3212 KB Output is correct
5 Correct 72 ms 1832 KB Output is correct
6 Correct 100 ms 3208 KB Output is correct
7 Correct 71 ms 1876 KB Output is correct
8 Correct 44 ms 1876 KB Output is correct
9 Correct 66 ms 3208 KB Output is correct
10 Correct 76 ms 1876 KB Output is correct

Subtask #4
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 8 ms 340 KB Output is correct
12 Correct 11 ms 340 KB Output is correct
13 Correct 7 ms 340 KB Output is correct
14 Correct 9 ms 392 KB Output is correct
15 Correct 8 ms 384 KB Output is correct
16 Correct 14 ms 420 KB Output is correct
17 Correct 8 ms 388 KB Output is correct
18 Correct 5 ms 340 KB Output is correct
19 Correct 6 ms 340 KB Output is correct
20 Correct 9 ms 340 KB Output is correct
21 Correct 74 ms 1876 KB Output is correct
22 Correct 69 ms 1832 KB Output is correct
23 Correct 79 ms 1832 KB Output is correct
24 Correct 65 ms 3212 KB Output is correct
25 Correct 72 ms 1832 KB Output is correct
26 Correct 100 ms 3208 KB Output is correct
27 Correct 71 ms 1876 KB Output is correct
28 Correct 44 ms 1876 KB Output is correct
29 Correct 66 ms 3208 KB Output is correct
30 Correct 76 ms 1876 KB Output is correct
31 Correct 368 ms 1836 KB Output is correct
32 Correct 340 ms 1916 KB Output is correct
33 Correct 343 ms 1876 KB Output is correct
34 Correct 342 ms 2532 KB Output is correct
35 Correct 363 ms 2488 KB Output is correct
36 Correct 333 ms 3968 KB Output is correct
37 Correct 292 ms 2456 KB Output is correct
38 Correct 201 ms 2512 KB Output is correct
39 Correct 250 ms 2560 KB Output is correct
40 Correct 358 ms 2516 KB Output is correct
41 Correct 375 ms 3968 KB Output is correct
42 Correct 353 ms 3808 KB Output is correct