65 lines
1.6 KiB
C++
65 lines
1.6 KiB
C++
#include <iostream>
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#include <stdio.h>
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#include <string.h>
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#include <algorithm>
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#include <stdlib.h>
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using namespace std;
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#define N 1010
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#define inf 2000000010
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struct node{
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int x,li,id;
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}w[N];
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bool cmp(const node &a,const node &b){
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if(a.x!=b.x) return a.x<b.x;
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return a.li>b.li;
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}
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int dp[N][N];
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int main(){
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int T,n,id;
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scanf("%d",&T);
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while(T--){
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scanf("%d",&n);
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int Min=-inf;
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for(int i=0;i<n;++i){
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scanf("%d%d",&w[i].x,&w[i].li);
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w[i].id=i;
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}
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sort(w,w+n,cmp);
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for(int i=0;i<n;++i){
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if(!w[i].id) id=i;
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for(int j=0;j<=n;++j)
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dp[i][j]=inf;
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}
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if(id){
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dp[0][0]=Min;
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dp[0][1]=w[0].x;
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}
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else dp[0][1]=w[0].x+(w[0].li+1>>1);
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for(int i=1;i<n;++i){
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if(i==id){
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int l=w[i].x-(w[i].li+1>>1);
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int r=w[i].x+(w[i].li+1>>1);
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for(int j=0;j<=i;++j)
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if(dp[i-1][j]<=l)
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dp[i][j+1]=r;
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continue;
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}
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for(int j=0;j<=i;++j){
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dp[i][j]=min(dp[i][j],dp[i-1][j]);
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if(dp[i-1][j]!=inf){
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if(dp[i-1][j]<=w[i].x){
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int temp=max(dp[i-1][j]+w[i].li,w[i].x);
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dp[i][j+1]=min(dp[i][j+1],temp);
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}
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}
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}
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}
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for(int i=n;i;--i)
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if(dp[n-1][i]!=inf){
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printf("%d\n",i);
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break;
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}
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}
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return 0;
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}
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