Man Down
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 618 Accepted Submission(s): 197
Problem Description
The Game “Man Down 100 floors” is an famous and interesting game.You can enjoy the game from
http://hi.baidu.com/abcdxyzk/blog/item/16398781b4f2a5d1bd3e1eed.html
We take a simplified version of this game. We have only two kinds of planks. One kind of the planks contains food and the other one contains nails. And if the man falls on the plank which contains food his energy will increase but if he falls on the plank which contains nails his energy will decrease. The man can only fall down vertically .We assume that the energy he can increase is unlimited and no borders exist on the left and the right.
First the man has total energy 100 and stands on the topmost plank of all. Then he can choose to go left or right to fall down. If he falls down from the position (Xi,Yi),he will fall onto the nearest plank which satisfies (xl <= xi <= xr)(xl is the leftmost position of the plank and xr is the rightmost).If no planks satisfies that, the man will fall onto the floor and he finishes his mission. But if the man’s energy is below or equal to 0 , he will die and the game is Over.
Now give you the height and position of all planks. And ask you whether the man can falls onto the floor successfully. If he can, try to calculate the maximum energy he can own when he is on the floor.(Assuming that the floor is infinite and its height is 0,and all the planks are located at different height).
Input
There are multiple test cases.
For each test case, The first line contains one integer N (2 <= N <= 100,000) representing the number of planks.
Then following N lines representing N planks, each line contain 4 integers (h,xl,xr,value)(h > 0, 0 < xl < xr < 100,000, -1000 <= value <= 1000), h represents the plank’s height, xl is the leftmost position of the plank and xr is the rightmost position. Value represents the energy the man will increase by( if value > 0) or decrease by( if value < 0) when he falls onto this plank.
Output
If the man can falls onto the floor successfully just output the maximum energy he can own when he is on the floor. But if the man can not fall down onto the floor anyway ,just output “-1”(not including the quote)
Sample Input
4
10 5 10 10
5 3 6 -100
4 7 11 20
2 2 1000 10
Sample Output
/*
題目描述:
不同高度處有不同的水平板，跳到該板會有血量變化v，
問當一個人從最高板開始，可以向左或者向右，
豎直跳到下面的板，求下落到地面的最大血量，或者-1。
線段樹+dp
需要用線段樹查詢得到每個板的兩個端點下落后會到哪個板；
然后根據這個從最高的開始dp就可以了
dp[i] = max ( dp[i], dp[i^].v ) // dp[i^] 代表能走到 i 的線段
/*
/*
Mail to : miyubai@gamil.com
Link : http://www.cnblogs.com/MiYu || http://www.shnenglu.com/MiYu
Author By : MiYu
Test : 1
Complier : g++ mingw32-3.4.2
Program : HDU_3016
Doc Name : Man Down
*/
//#pragma warning( disable:4789 )
#include <iostream>
#include <fstream>
#include <sstream>
#include <algorithm>
#include <string>
#include <set>
#include <map>
#include <utility>
#include <queue>
#include <stack>
#include <list>
#include <vector>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <ctime>
using namespace std;
struct seg_tree {
int id, left, right;
int mid () { return ( left + right )>>1; }
}seg[333333];
inline void creat ( int x, int y, int rt = 1 ) {
seg[rt].left = x;
seg[rt].right = y;
//0 代表地面 其他的自然數代表各層的木板編號 -1 代表有多條線段覆蓋
seg[rt].id = 0;
if ( x == y ) return ;
int mid = seg[rt].mid();
creat ( x, mid, rt << 1 );
creat ( mid + 1, y, rt << 1 | 1 );
}
inline void modify ( int x, int y, int id, int rt = 1 ) {
//找到了線段, 直接修改ID 覆蓋掉
if ( seg[rt].left == x && seg[rt].right == y ) {
seg[rt].id = id;
return;
}
int LL = rt << 1, RR = rt << 1 | 1, mid = seg[rt].mid();
// 前面沒有return掉, 那么這條線段肯定是被覆蓋的, 將它的標記下傳后標記為-1
if ( seg[rt].id != -1 ) {
seg[LL].id = seg[RR].id = seg[rt].id;
seg[rt].id = -1;
}
if ( y <= mid ) modify ( x, y, id, LL ); //分段修改
else if ( x > mid ) modify ( x, y, id, RR );
else {
modify ( x, mid, id, LL );
modify ( mid + 1, y, id, RR );
}
}
inline int query ( int pos, int rt = 1 ) { // 查詢 Pos 所在線段的 id
if ( seg[rt].id != -1 ) return seg[rt].id; //線段被覆蓋 直接返回 ID
int LL = rt << 1, RR = rt << 1 | 1, mid = seg[rt].mid();
if ( pos <= mid ) return query ( pos, LL ); //分段查詢
else return query ( pos, RR );
}
inline bool scan_d(int &num) //整數輸入
{
char in;bool IsN=false;
in=getchar();
if(in==EOF) return false;
while(in!='-'&&(in<'0'||in>'9')) in=getchar();
if(in=='-'){ IsN=true;num=0;}
else num=in-'0';
while(in=getchar(),in>='0'&&in<='9'){
num*=10,num+=in-'0';
}
if(IsN) num=-num;
return true;
}
struct Plank {
int x,y,h,v,left,right;
//按高排序
friend bool operator < ( const Plank &a, const Plank &b ) {
return a.h < b.h;
}
}pk[100010];
int dp[100010];
int main ()
{
int N, M;
creat ( 1, 100000 );
while ( scan_d ( N ) ) {
M = -1;
for ( int i = 1; i <= N; ++ i ) {
scan_d ( pk[i].h );scan_d ( pk[i].x );scan_d ( pk[i].y );scan_d ( pk[i].v );
if ( pk[i].y > M ) M = pk[i].y; // 記錄 區(qū)間最大值, 加速用的
}
modify ( 1, M, 0 );
sort ( pk + 1, pk + N + 1 ); // 按高排序
memset ( dp, 0, sizeof ( dp ) );
dp[N] = 100 + pk[N].v;
// 自底向上 更新 線段, 記錄 每條線段 左右端點能到達的 線段 ID
for ( int i = 1; i <= N; ++ i ) {
int x = pk[i].left = query ( pk[i].x );
int y = pk[i].right = query ( pk[i].y );
modify ( pk[i].x, pk[i].y, i );
}
int res = -1;
//自頂向下 DP dp[i] = max ( dp[i], dp[i^].v )
// dp[i^] 代表能走到 i 的線段
for ( int i = N; i >= 1; -- i ) {
if ( dp[ pk[i].left ] < dp[i] + pk[ pk[i].left ].v )
dp[ pk[i].left ] = dp[i] + pk[ pk[i].left ].v;
if ( dp[ pk[i].right ] < dp[i] + pk[ pk[i].right ].v )
dp[ pk[i].right ] = dp[i] + pk[ pk[i].right ].v;
}
printf ( "%d\n",dp[0] > 0 ? dp[0] : -1 );
}
return 0;
}