题意:一开始明星有一块钱,他把一块钱拿去换其他价值的东西使得最后价值大于M并时间最短,无解输出-1.
思路:按照需求R升序排序,并且按照可达价值作为下标,所用时间作为值进行线段树建树。
#include <stdio.h>
#include <string.h>
#include <vector>
#include <string>
#include <cmath>
#include <ctime>
#include <queue>
#include <stack>
#include <set>
#include <iostream>
#include <map>
#include <algorithm>
#define lson l,m,rt<<1
#define rson m+1,r,rt<<1|1
const double PI = acos(-1.0);
const double EPS = 1e-9;
using namespace std;
const int maxm = 3e5+5;
const int maxn = 1e5+5;
const long long INF = 1234567890123456;
#define LL long long
LL tree[maxm<<2];
LL X[maxm];
void build(int l,int r,int rt)
{
tree[rt] = INF;
if(l==r)
return;
int m = (l+r)>>1;
build(lson);
build(rson);
}
struct Node
{
LL v,R,t;
bool operator<(const Node& cmp) const
{
return R<cmp.R;
}
}node[maxn];
void update(int o,LL c,int l,int r,int rt)
{
if(l==r)
{
tree[rt] = min(tree[rt],c);
return;
}
int m = (l+r)>>1;
if(o<=m)
update(o,c,lson);
else
update(o,c,rson);
tree[rt] = min(tree[rt<<1],tree[rt<<1|1]);
}
LL query(int L,int R,int l,int r,int rt)
{
if(L<=l&&r<=R)
return tree[rt];
int m = (l+r)>>1;
LL ret = INF;
if(L<=m)
ret = min(ret,query(L,R,lson));
if(R>m)
ret = min(ret,query(L,R,rson));
return ret;
}
int main()
{
int T,cas = 1;
scanf("%d",&T);
while(T--)
{
int n,tol=0;
LL M;
scanf("%d",&n);
scanf("%lld",&M);
X[++tol] = 1;
X[++tol] = M;
for(int i=0; i<n; i++)
{
scanf("%lld%lld%lld",&node[i].v,&node[i].R,&node[i].t);
X[++tol] = node[i].v;
X[++tol] = node[i].R;
}
sort(node,node+n);
sort(X+1,X+1+tol);
tol = unique(X+1,X+1+tol)-X;
tol--;
build(1,tol,1);
update(1,0,1,tol,1);
for(int i=0; i<n; i++)
{
int R = lower_bound(X+1,X+1+tol,node[i].R)-X;
LL tmp = query(R,tol,1,tol,1);
int v = lower_bound(X+1,X+1+tol,node[i].v)-X;
update(v,node[i].t+tmp,1,tol,1);
}
int t = lower_bound(X+1,X+1+tol,M)-X;
LL tmp = query(t,tol,1,tol,1);
printf("Case #%d: ",cas++);
if(tmp==INF)
puts("-1");
else
printf("%lld\n",tmp);
}
return 0;
}
Charitable Exchange
Time Limit: 4000/2000MS (Java/Others) Memory Limit: 65535/65535KB (Java/Others)
Have you ever heard a star charity show called Charitable Exchange? In this show, a famous star starts with a small item which values 11 yuan. Then, through the efforts of repeatedly exchanges which continuously increase the value of item in hand, he (she) finally brings back a valuable item and donates it to the needy.
In each exchange, one can exchange for an item of Vi yuan if he (she) has an item values more than or equal to RiRi yuan, with a time cost of TiTi minutes.
Now, you task is help the star to exchange for an item which values more than or equal to MM yuan with the minimum time.
Input
The first line of the input is TT (no more than 2020), which stands for the number of test cases you need to solve.
For each case, two integers NN, MM (1≤N≤1051≤N≤105, 1≤M≤1091≤M≤109) in the first line indicates the number of available exchanges and the expected value of final item. Then NN lines follow, each line describes an exchange with 33 integers ViVi, RiRi, TiTi (1≤Ri≤Vi≤1091≤Ri≤Vi≤109, 1≤Ti≤1091≤Ti≤109).
Output
For every test case, you should output Case #k:
first, where kk indicates the case number and counts from 11. Then output the minimum time. Output −1−1 if no solution can be found.
Sample input and output
Sample Input | Sample Output |
---|---|
3 3 10 5 1 3 8 2 5 10 9 2 4 5 2 1 1 3 2 1 4 3 1 8 4 1 5 9 5 1 1 10 4 10 8 1 10 11 6 1 7 3 8 |
Case #1: -1 Case #2: 4 Case #3: 10 |