您的位置:首页 > 其它

【CF】222 Div.1 B Preparing for the Contest

2015-07-20 15:30 555 查看
这样类似的题目不少,很多都是一堆优化条件求最优解,这个题的策略就是二分+贪心。
对时间二分, 对费用采用贪心。

/* 377B */
#include <iostream>
#include <string>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <vector>
#include <deque>
#include <algorithm>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstring>
#include <climits>
#include <cctype>
#include <cassert>
#include <functional>
#include <iterator>
#include <iomanip>
using namespace std;
//#pragma comment(linker,"/STACK:102400000,1024000")

#define sti                set<int>
#define stpii            set<pair<int, int> >
#define mpii            map<int,int>
#define vi                vector<int>
#define pii                pair<int,int>
#define vpii            vector<pair<int,int> >
#define rep(i, a, n)     for (int i=a;i<n;++i)
#define per(i, a, n)     for (int i=n-1;i>=a;--i)
#define clr                clear
#define pb                 push_back
#define mp                 make_pair
#define fir                first
#define sec                second
#define all(x)             (x).begin(),(x).end()
#define SZ(x)             ((int)(x).size())
#define lson            l, mid, rt<<1
#define rson            mid+1, r, rt<<1|1

typedef struct node_t {
int x, id;
node_t() {}
node_t(int x_, int id_):
x(x_), id(id_) {}
friend bool operator< (const node_t& a, const node_t& b) {
return a.x > b.x;
}
} node_t;

typedef struct student {
int x, p, id;
student() {}
student(int x_, int p_, int id_):
x(x_), p(p_), id(id_) {}
friend bool operator< (const student& a, const student& b) {
return a.x > b.x;
}
} student;

const int maxn = 1e5+5;
int a[maxn];
int n, m, s;
node_t N[maxn];
student S[maxn];

bool comp(const student& a , const student& b) {
return a.x > b.x;
}

bool judge(int t) {
priority_queue<int,vi, greater<int> > Q;
int i, j, k;
int p;
int tot = s;

i = 0;    // i for student
j = 0;    // j for Q
while (j < m) {
while (i<n && S[i].x>=N[j].x) {
Q.push(S[i].p);
++i;
}
if (Q.empty())
break;
p = Q.top();
Q.pop();
if (p > tot)
return false;
tot -= p;
j += t;
}

return j>=m;
}

void bfs(int t) {
priority_queue<pii,vpii, greater<pii> > Q;
int i, j, k, id;
int m_;

i = 0;    // i for student
j = 0;    // j for Q
while (j < m) {
while (i<n && S[i].x>=N[j].x) {
Q.push(mp(S[i].p, S[i].id));
++i;
}
id = Q.top().sec;
Q.pop();
m_ = min(m, j+t);
for (k=j; k<m_; ++k)
a[N[k].id] = id;
j += t;
}
}

int main() {
ios::sync_with_stdio(false);
#ifndef ONLINE_JUDGE
freopen("data.in", "r", stdin);
freopen("data.out", "w", stdout);
#endif

int ans = -1;

scanf("%d %d %d", &n, &m, &s);
rep(i, 0, m) {
scanf("%d", &N[i].x);
N[i].id = i;
}
rep(i, 0, n) {
scanf("%d", &S[i].x);
S[i].id = i+1;
}
rep(i, 0, n)
scanf("%d", &S[i].p);

sort(N, N+m);
sort(S, S+n);

if (S[0].x < N[0].x) {
puts("NO");
return 0;
}

int l = 1;
int r = m+1;
int mid;

while (l <= r) {
mid = (l+r)>>1;
if (judge(mid)) {
ans = mid;
r = mid - 1;
} else {
l = mid + 1;
}
}

if (ans > 0) {
puts("YES");
bfs(ans);
rep(i, 0, m)
printf("%d ", a[i]);
putchar('\n');
} else {
puts("NO");
}

#ifndef ONLINE_JUDGE
printf("time = %d.\n", (int)clock());
#endif

return 0;
}
内容来自用户分享和网络整理,不保证内容的准确性,如有侵权内容,可联系管理员处理 点击这里给我发消息
标签: