Codeforce 493c

H - Vasya and Basketball

Time Limit:2000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Submit Status Practice CodeForces 493C

Description

Vasya follows a basketball game and marks the distances from which each team makes a throw. He knows that each successful throw has value of either 2 or 3 points. A throw is worth 2 points if the distance it was made from doesn't exceed some value of d meters, and a throw is worth 3 points if the distance is larger than d meters, where d is some non-negative integer.

Vasya would like the advantage of the points scored by the first team (the points of the first team minus the points of the second team) to be maximum. For that he can mentally choose the value of d. Help him to do that.

Input

The first line contains integer n (1 ≤ n ≤ 2·10⁵) — the number of throws of the first team. Then follow n integer numbers — the distances of throws a_i (1 ≤ a_i ≤ 2·10⁹).

Then follows number m (1 ≤ m ≤ 2·10⁵) — the number of the throws of the second team. Then follow m integer numbers — the distances of throws of b_i (1 ≤ b_i ≤ 2·10⁹).

Output

Print two numbers in the format a:b — the score that is possible considering the problem conditions where the result of subtraction a - bis maximum. If there are several such scores, find the one in which number a is maximum.

Sample Input

Input

3
1 2 3
2
5 6

Output

9:6

Input

5
6 7 8 9 10
5
1 2 3 4 5

Output

15:10

#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
using namespace std;

typedef long long LL;
const int N = 200005;
LL n, m, a[N], b[N], mi, mj, ans;
int main()
{

    scanf("%I64d", &n);
    for(int i = 0; i < n; ++i) scanf("%I64d", &a[i]);

    scanf("%I64d", &m);
    for(int i = 0; i < m; ++i) scanf("%I64d", &b[i]);

    sort(a, a + n);
    sort(b, b + m);
    mi = n * 3;
    mj = m * 3;
    ans = mi - mj;

    for(int i = 0; i < n; ++i)
    {
        if(a[i] == a[i + 1] && i != n - 1) continue;//注意例子 5 2 2 2 2 2  3 2 2 2， 说明在枚举一串的时候， 相同值的应该用上界来尝试
        LL d = a[i];
        LL pos = upper_bound(b, b + m, d) - b;//注意uuper_bound 求上界的时候， 如果找到了， 还是返回 最后那个位置 + 1， 而如果要找的数大于数组里面的max， 返回的是 最大下标
        LL aa = (i + 1) * 2 + (n - i - 1) * 3;
        LL bb;
        if(d >= b[m - 1]) bb = 2 * m;
        else
            bb = (pos) * 2 + (m - pos) * 3;
        if(aa - bb > ans || (aa - bb == ans && aa > mi)) {
            ans = aa - bb;
            mi = aa;
            mj = bb;
        }
    }


    for(int i = 0; i < m; ++i)
    {
        if(b[i] == b[i + 1] && i != m - 1) continue;
        LL d = b[i];
        LL pos2 = upper_bound(a, a + n, d) - a;
        LL bb = (i + 1) * 2 + (m - i - 1) * 3;
        LL aa;
        if(d >= a[n - 1]) aa = 2 * n;
        else
            aa = (pos2) * 2 + (n - pos2) * 3;
        if(aa - bb > ans || (aa - bb == ans && aa > mi)) {
            ans = aa - bb;
            mi = aa;
            mj = bb;
         //  printf("[%d %d %d]\n", ans, mi, mj);
        }
    }
    printf("%I64d:%I64d\n", mi, mj);
}