Time Limit:1000MS Memory Limit:32768KB 64bit IO Format:%I64d & %I64u
Description
Input
The data for a particular mouse will consist of a pair of integers: the first representing its size in grams and the second representing its speed in centimeters per second. Both integers are between 1 and 10000. The data in each test case will contain information for at most 1000 mice.
Two mice may have the same weight, the same speed, or even the same weight and speed.
Output
W[m[1]] < W[m[2]] < ... < W[m[n]]
and
S[m[1]] > S[m[2]] > ... > S[m[n]]
In order for the answer to be correct, n should be as large as possible.
All inequalities are strict: weights must be strictly increasing, and speeds must be strictly decreasing. There may be many correct outputs for a given input, your program only needs to find one.
Sample Input
6000 2100
500 2000
1000 4000
1100 3000
6000 2000
8000 1400
6000 1200
2000 1900
Sample Output
4
5
9
7
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#define MAX_SIZE 1005 struct x
{
int weight;
int speed;
int num,sum,front;
}DP[MAX_SIZE]; int comp(const void * a,const void * b);
int main(void)
{
int i = ;
int max,max_loc,ans,ans_loc;
int box[MAX_SIZE]; while(scanf("%d%d",&DP[i].weight,&DP[i].speed) != EOF)
{
DP[i].num = i;
DP[i].sum = ;
DP[i].front = -;
i ++;
} qsort(DP,i,sizeof(struct x),comp); ans_loc = ;
ans = ;
for(int j = ;j < i;j ++)
{
max = ;
for(int k = ;k < j;k ++)
if(DP[j].weight > DP[k].weight && DP[j].speed < DP[k].speed)
if(DP[k].sum > max)
{
max = DP[k].sum;
max_loc = k;
} DP[j].sum += max;
if(max)
DP[j].front = max_loc; if(ans < DP[j].sum)
{
ans = DP[j].sum;
ans_loc = j;
}
} box[] = ans_loc;
i = ;
while(box[i] != -)
{
i ++;
box[i] = DP[box[i - ]].front;
} printf("%d\n",ans);
for(i --;i >= ;i --)
printf("%d\n",DP[box[i]].num + ); return ;
} int comp(const void * a,const void * b)
{
if((*(struct x *)a).weight == (*(struct x *)b).weight)
return (*(struct x *)b).speed - (*(struct x *)a).speed;
return (*(struct x *)a).weight - (*(struct x *)b).weight;
}