Submission #16922

# Submission time Handle Problem Language Result Execution time Memory
16922 2015-10-26T13:28:30 Z erdemkiraz Experiments with Gorlum (IZhO13_expgorl) C++
100 / 100
11 ms 3408 KB
#include <bits/stdc++.h>

using namespace std;

#define type(x) __typeof((x).begin())
#define foreach(it, x) for(type(x) it = (x).begin(); it != (x).end(); it++)

typedef long long ll;
typedef pair < int, int > ii;

const int inf = 1e9 + 333;
const ll linf = 1e18 + inf;

const int N = 1e5 + 5;

int k, n;
int dx[300], dy[300];
double cx[N], cy[N];
double lx, ly, kx, ky;
char s[N];

double dist(double x, double y, double a, double b) {
    return sqrt((x - a) * (x - a) + (y - b) * (y - b));
}

double ternary(int i) {
    int l = 0, r = k;
    while(r - l > 5) {
        int m1 = (l + l + r) / 3;
        int m2 = (l + r + r) / 3;
        double d1 = dist(lx, ly, cx[i] + kx * m1, cy[i] + ky * m1);
        double d2 = dist(lx, ly, cx[i] + kx * m2, cy[i] + ky * m2);
        if(d1 < d2)
            r = m2;
        else
            l = m1;
    }
    double ans = linf;
    while(l <= r) {
        double d = dist(lx, ly, cx[i] + kx * l, cy[i] + ky * l);
        ans = min(ans, d);
        l++;
    }
    return ans;
}

int main() {

    scanf("%d", &k);

    k--;

    scanf("%s", s + 1);

    n = strlen(s + 1);

    scanf("%lf %lf", &lx, &ly);

    scanf("%lf %lf", cx, cy);

    dx['L'] = -1;
    dx['R'] = +1;
    dy['F'] = +1;
    dy['B'] = -1;

    double distInit = dist(lx, ly, cx[0], cy[0]);

    double mn = distInit, mx = distInit;

    for(int i = 1; i <= n; i++) {
        cx[i] = cx[i - 1] + dx[s[i]];
        cy[i] = cy[i - 1] + dy[s[i]];
        kx += dx[s[i]];
        ky += dy[s[i]];
    }

    for(int i = 0; i <= n; i++) {
        mx = max(mx, dist(lx, ly, cx[i], cy[i]));
        mx = max(mx, dist(lx, ly, cx[i] + kx * k, cy[i] + ky * k));
        mn = min(mn, ternary(i));
    }

    printf("%.12lf %.12lf\n", mn, mx);

    return 0;

}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 3408 KB Output is correct
2 Correct 2 ms 3408 KB Output is correct
3 Correct 0 ms 3408 KB Output is correct
4 Correct 2 ms 3408 KB Output is correct
5 Correct 1 ms 3408 KB Output is correct
6 Correct 0 ms 3408 KB Output is correct
7 Correct 2 ms 3408 KB Output is correct
8 Correct 0 ms 3408 KB Output is correct
9 Correct 7 ms 3408 KB Output is correct
10 Correct 10 ms 3408 KB Output is correct
11 Correct 6 ms 3408 KB Output is correct
12 Correct 10 ms 3408 KB Output is correct
13 Correct 10 ms 3408 KB Output is correct
14 Correct 8 ms 3408 KB Output is correct
15 Correct 8 ms 3408 KB Output is correct
16 Correct 11 ms 3408 KB Output is correct
17 Correct 11 ms 3408 KB Output is correct
18 Correct 11 ms 3408 KB Output is correct
19 Correct 11 ms 3408 KB Output is correct
20 Correct 11 ms 3408 KB Output is correct