题目链接 : C - Petya and Exam

大意:给n道题目,标记好了难度,难题要花b分钟,简单题画a分钟,每道题限制在ti分钟内做完,如果所用的时间超过了ti则记0分。解一题得一分。给你n,T,a,b,每题难度,第i题的ti,求最大得分。

思路:按ti进行从小到大排序,得到新顺序 Ti,预处理出做到Ti对应的题做的情况下还能做几道简单题(加上什么都不做的情况),对新顺序进行遍历,算出做Ti对应的题的时候最大得分,取循环的最大得分即结果。

代码:

#include <iostream>
#include <string>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cmath>
#include <queue>
#include <functional>
#include <map>
#include <set>
#include <stack>
#define FT(a, b) memset(a, b, sizeof(a))
#define FAT(a) memset(a, 0, sizeof(a))
using namespace std;
typedef long long ll;
const int M = 2e5 + 10;
const int INF = 0x3f3f3f3f;
const int mod = 998244353;
struct node
{
    int dif;
    ll need;
    bool operator<(const node &f) const
    {
        if (f.need != need)
            return f.need > need;
        else
            return f.dif > dif;
    }
} pro[M];
ll ans[M];
int main()
{
#ifdef ONLINE_JUDGE
#else
    freopen("f:\\code\\c++\\in.txt", "r", stdin);
#endif
    int t;
    scanf("%d", &t);
    while (t--)
    {
        FAT(ans);
        ll n, t, a, b;
        scanf("%lld%lld%lld%lld", &n, &t, &a, &b);
        ll simple = 0;
        for (int i = 1; i <= n; i++)
        {
            scanf("%d", &pro[i].dif);
            if (!pro[i].dif)
                simple++;
        }
        for (int i = 1; i <= n; i++)
            scanf("%lld", &pro[i].need);
        sort(pro + 1, pro + n + 1);
        ll time = 0;
        if (pro[1].need)
            ans[0] = min(simple, (pro[1].need - 1) / a);
        for (int i = 1; i <= n; i++)
        {
            if (pro[i].dif)
                time += b;
            else
                simple--, time += a;
            if (simple == 0 || i == n)
                break;
            ans[i] = min(simple, (pro[i + 1].need - time - 1) / a);
        }
        time = 0;
        ll cnt = ans[0];
        for (int i = 1; i <= n; i++)
        {
            time += pro[i].dif == 0 ? a : b;
            if (time > t)
                break;
            else
            {
                if (time < pro[i + 1].need || i == n)
                {
                    cnt = max(cnt, i + ans[i]);
                }
            }
        }
        printf("%lld\n", cnt);
    }
    return 0;
}
12-15 06:12