Submission #635067

# Submission time Handle Problem Language Result Execution time Memory
635067 2022-08-25T11:23:29 Z pragmatist Experiments with Gorlum (IZhO13_expgorl) C++17
100 / 100
7 ms 340 KB
#include<bits/stdc++.h>
 
#define ll long long
#define pb push_back
#define x first
#define y second
#define sz(v) (int)v.size()
#define all(v) v.begin(), v.end()
#define ld long double
#define int long long
#define nl "\n"
 
using namespace std;
using pii = pair<int, int>;
 
const int N = (int)1e5 + 7;
const int inf = (int)1e9 + 7;
const ll INF = (ll)2e18 + 7;
const int MOD = (int)1e9 + 7;
const int M = (int)5e4 + 7; 
 
int k, Lx, Ly, Gx, Gy, dx, dy;
string a;
 
ll mx, mn;
 
ll dist(int x1, int y1, int x2, int y2) {
	return 1ll * (x1 - x2) * (x1 - x2) + 1ll * (y1 - y2) * (y1 - y2);
}
 
void upd(int curx, int cury, int x) {
	mn = min(mn, dist(Gx + curx + x * dx, Gy + cury + x * dy, Lx, Ly));
   	mx = max(mx, dist(Gx + curx + x * dx, Gy + cury + x * dy, Lx, Ly));        			
}
 
void solve() {
	cin >> k >> a >> Lx >> Ly >> Gx >> Gy;
	mn = INF, mx = -INF;
	mn = min(mn, dist(Gx, Gy, Lx, Ly));
	mx = max(mx, dist(Gx, Gy, Lx, Ly));
	int curx = 0, cury = 0;
 
	for(auto x : a) {
		if(x == 'L') dx--;
		if(x == 'R') dx++;
		if(x == 'F') dy++;
		if(x == 'B') dy--; 
	}
	for(auto x : a) {
		if(x == 'L') curx--;
		if(x == 'R') curx++;
		if(x == 'F') cury++;
		if(x == 'B') cury--;
		int l = 0, r = k - 1;
	    while(l <= r) {
			int m1 = l + (r - l) / 3;
			int m2 = r - (r - l) / 3;
			
			upd(curx, cury, m1);
			upd(curx, cury, m2);
			if(dist(Gx + curx + m1 * dx, Gy + cury + m1 * dy, Lx, Ly) < dist(Gx + curx + m2 * dx, Gy + cury + m2 * dy, Lx, Ly)) {
				r = m2 - 1;
			} else
				l = m1 + 1;
		}
		l = 0, r = k - 1;
	    while(l <= r) {
			int m1 = l + (r - l) / 3;
			int m2 = r - (r - l) / 3;
			
			upd(curx, cury, m1);
			upd(curx, cury, m2);
			if(dist(Gx + curx + m1 * dx, Gy + cury + m1 * dy, Lx, Ly) > dist(Gx + curx + m2 * dx, Gy + cury + m2 * dy, Lx, Ly)) {
				r = m2 - 1;
			} else
				l = m1 + 1;
		}
	  	upd(curx, cury, k - 1);
	   	upd(curx, cury, 0);
	}
	cout << fixed << setprecision(9) << sqrt(mn) << ' ' << sqrt(mx) << nl;
}
 
signed main() {
	ios_base::sync_with_stdio(NULL);
	cin.tie(0);
	cout.tie(0);
	int test = 1;
	//cin >> test;
	while(test--) {
		solve();
	}
	return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 2 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 1 ms 316 KB Output is correct
9 Correct 4 ms 212 KB Output is correct
10 Correct 6 ms 340 KB Output is correct
11 Correct 3 ms 212 KB Output is correct
12 Correct 6 ms 340 KB Output is correct
13 Correct 6 ms 340 KB Output is correct
14 Correct 5 ms 212 KB Output is correct
15 Correct 5 ms 212 KB Output is correct
16 Correct 6 ms 212 KB Output is correct
17 Correct 6 ms 212 KB Output is correct
18 Correct 6 ms 336 KB Output is correct
19 Correct 7 ms 340 KB Output is correct
20 Correct 7 ms 340 KB Output is correct