oj.uz

Submission #714034

# Submission time Handle Problem Language Result Execution time Memory
714034 2023-03-23T15:46:57 Z whqkrtk04 None (KOI16_dist) C++17
81 / 100
 361 ms 3880 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]);
	int l = 0, r = max_element(A.begin(), A.end()) - A.begin();
    ll ret = 0LL;
	while (1) {
	// A[l], A[r] are antipodal points
        // your code here
        ret = max(ret, dst(A[l], A[r]));
		if (n == 2 || r == n) break;
		if ((A[l + 1] - A[l]) / (A[r + 1] - A[r]) <= 0) {
			l += 1;
		}
		else r += 1;
	}
    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 >= 3) {
        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 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 324 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 324 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 324 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 9 ms 340 KB Output is correct
12 Correct 9 ms 464 KB Output is correct
13 Correct 7 ms 340 KB Output is correct
14 Correct 8 ms 332 KB Output is correct
15 Correct 9 ms 416 KB Output is correct
16 Correct 14 ms 564 KB Output is correct
17 Correct 7 ms 340 KB Output is correct
18 Correct 7 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 84 ms 2536 KB Output is correct
2 Correct 73 ms 2388 KB Output is correct
3 Correct 73 ms 2368 KB Output is correct
4 Correct 64 ms 3864 KB Output is correct
5 Correct 84 ms 2512 KB Output is correct
6 Correct 98 ms 3764 KB Output is correct
7 Correct 64 ms 2332 KB Output is correct
8 Correct 47 ms 2160 KB Output is correct
9 Correct 64 ms 3880 KB Output is correct
10 Correct 82 ms 2456 KB Output is correct

Subtask #4
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 0 ms 324 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 324 KB Output is correct
11 Correct 9 ms 340 KB Output is correct
12 Correct 9 ms 464 KB Output is correct
13 Correct 7 ms 340 KB Output is correct
14 Correct 8 ms 332 KB Output is correct
15 Correct 9 ms 416 KB Output is correct
16 Correct 14 ms 564 KB Output is correct
17 Correct 7 ms 340 KB Output is correct
18 Correct 7 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 84 ms 2536 KB Output is correct
22 Correct 73 ms 2388 KB Output is correct
23 Correct 73 ms 2368 KB Output is correct
24 Correct 64 ms 3864 KB Output is correct
25 Correct 84 ms 2512 KB Output is correct
26 Correct 98 ms 3764 KB Output is correct
27 Correct 64 ms 2332 KB Output is correct
28 Correct 47 ms 2160 KB Output is correct
29 Correct 64 ms 3880 KB Output is correct
30 Correct 82 ms 2456 KB Output is correct
31 Correct 361 ms 2480 KB Output is correct
32 Correct 341 ms 2324 KB Output is correct
33 Incorrect 339 ms 2388 KB Output isn't correct
34 Halted 0 ms 0 KB -