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hdu 3530 Subsequence (尺取+rmq)

·425 words·1 min
Note: This article is available in Chinese only. 本文暂无英文版本。 View original

hdu 3530题目链接

题意:给出n个数,m,k,问最大的j-i+1,使得【i,j】间的最大值与最小值的差属于[m,k] 思路:rmq+尺取。 2A.

代码实现
  1/* ***********************************************
  2Author :111qqz
  3Created Time :2016年05月19日 星期四 16时52分03秒
  4File Name :code/hdu/3530.cpp
  5************************************************ */
  6
  7#include <cstdio>
  8#include <cstring>
  9#include <iostream>
 10#include <algorithm>
 11#include <vector>
 12#include <queue>
 13#include <set>
 14#include <map>
 15#include <string>
 16#include <cmath>
 17#include <cstdlib>
 18#include <ctime>
 19#define fst first
 20#define sec second
 21#define lson l,m,rt<<1
 22#define rson m+1,r,rt<<1|1
 23#define ms(a,x) memset(a,x,sizeof(a))
 24typedef long long LL;
 25#define pi pair < int ,int >
 26#define MP make_pair
 27
 28using namespace std;
 29const double eps = 1E-8;
 30const int dx4[4]={1,0,0,-1};
 31const int dy4[4]={0,-1,1,0};
 32const int inf = 0x3f3f3f3f;
 33const int N=1E5+7;
 34int n;
 35int a[N];
 36int dp[N][20],dp2[N][20];
 37int m,k;
 38
 39void rmq_init()
 40{
 41    for ( int i  = 1 ; i <= n ; i ++)
 42	dp[i][0] = dp2[i][0] = a[i];
 43
 44    for ( int j = 1 ; (1<<j) <= n ; j++)
 45	for ( int i = 1 ; i + (1<<j) -1 <= n ; i++)
 46	{
 47	    dp[i][j] = max(dp[i][j-1],dp[i+(1<<(j-1))][j-1]);
 48	    dp2[i][j]=min(dp2[i][j-1],dp2[i+(1<<(j-1))][j-1]);
 49	}
 50}
 51
 52int rmq( int l,int r)
 53{
 54    int k = 0 ;
 55    while (1<<(k+1)<=r-l+1) k++;
 56    int mx = max(dp[l][k],dp[r-(1<<k)+1][k]);
 57    int mn = min(dp2[l][k],dp2[r-(1<<k)+1][k]);
 58
 59    return mx-mn;
 60}
 61
 62int ruler()
 63{
 64    int head = 1;
 65    int tail = 1;
 66    int res = -1 ;
 67    while (tail<=n)
 68    {
 69	int cur = rmq(head,tail);
 70	while (head<tail&&rmq(head,tail)>k) head++;
 71	while (tail<n&&rmq(head,tail)<m) tail++;
 72	//if (tail>n) break;
 73	cur = rmq(head,tail);
 74	if (cur>=m&&cur<=k)
 75	{
 76	    res = max(res,tail-head);
 77	}
 78//	cout<<"head:"<<head<<" tail:"<<tail<<" cur:"<<cur<<" res:"<<res<<endl;
 79	tail++;
 80
 81    }
 82    return res+1;
 83}
 84int main()
 85{
 86	#ifndef  ONLINE_JUDGE
 87	freopen("code/in.txt","r",stdin);
 88  #endif
 89
 90	while (scanf("%d %d %d",&n,&m,&k)!=EOF)
 91	{
 92	    ms(dp,0);
 93	    for ( int i = 1 ; i  <= n ; i++) scanf("%d",&a[i]);
 94	    if (m>k)
 95	    {
 96		puts("0");
 97		continue;
 98	    }
 99	    rmq_init();
100	    printf("%d\n",ruler());
101	}
102
103
104
105  #ifndef ONLINE_JUDGE
106  fclose(stdin);
107  #endif
108    return 0;
109}

Related

poj 1470 Closest Common Ancestors (lca,rmq+dfs,读入技巧)

·581 words·2 mins
poj1470题目链接 题意:求两点的lca. 思路:dfs+rmq. 读入技巧。 读入比较坑爹。。。 学会了一种新的读入技巧。 scanf("%2s",st); 表示读一个长度为2的字符串。。。读的时候会忽略各种空白字符。 代码实现 1/* *********************************************** 2Author :111qqz 3Created Time :2016年05月19日 星期四 15时44分12秒 4File Name :code/poj/1470.cpp 5************************************************ */ 6 7#include <cstdio> 8#include <cstring> 9#include <iostream> 10#include <algorithm> 11#include <vector> 12#include <queue> 13#include <set> 14#include <map> 15#include <string> 16#include <cmath> 17#include <cstdlib> 18#include <ctime> 19#define fst first 20#define sec second 21#define lson l,m,rt<<1 22#define rson m+1,r,rt<<1|1 23#define ms(a,x) memset(a,x,sizeof(a)) 24typedef long long LL; 25#define pi pair < int ,int > 26#define MP make_pair 27 28using namespace std; 29const double eps = 1E-8; 30const int dx4[4]={1,0,0,-1}; 31const int dy4[4]={0,-1,1,0}; 32const int inf = 0x3f3f3f3f; 33const int N=905; 34int n; 35vector <int> edge[N]; 36int in[N]; 37int E[2*N],R[2*N]; 38int depth[2*N]; 39int p; 40int dp[2*N][12]; 41int cnt[N]; 42void dfs( int u,int dep) 43{ 44 p++; 45 E[p] = u ; 46 depth[p] = dep; 47 R[u] = p; 48 int siz = edge[u].size(); 49 for ( int i = 0 ; i < siz ; i ++) 50 { 51 int v = edge[u][i]; 52 53 dfs(v,dep+1); 54 p++; 55 E[p] = u; 56 depth[p] = dep; 57 } 58} 59 60int _min( int l,int r) 61{ 62 if (depth[l]<depth[r]) return l; 63 return r; 64} 65void rmq_init() 66{ 67 for ( int i = 1 ; i <=2*n+2 ; i++) dp[i][0] = i; 68 69 for ( int j = 1 ; (1<<j) <= 2*n+2 ; j++) 70 for ( int i = 1 ; i + (1<<j)-1 <= 2*n+2 ; i++) 71 dp[i][j] = _min(dp[i][j-1],dp[i+(1<<(j-1))][j-1]); 72} 73 74int rmq_min( int l,int r) 75{ 76 if (l>r) swap(l,r); 77 int k = 0; 78 while (1<<(k+1) <= r-l+1) k++; 79 return _min(dp[l][k],dp[r-(1<<k)+1][k]); 80} 81int main() 82{ 83 #ifndef ONLINE_JUDGE 84 freopen("code/in.txt","r",stdin); 85 #endif 86 87 while (scanf("%d",&n)!=EOF) 88 { 89 ms(in,0); 90 for ( int i = 1 ; i <= n ; i++) edge[i].clear(); 91 for ( int i = 1 ; i <= n ; i++) 92 { 93 char ch[5]; 94 int x,num; 95 scanf("%d%2s%d%1s",&x,ch,&num,ch); 96// cout<<"x:"<<x<<" num:"<<num<<endl; 97 98 for ( int i = 1 ; i <= num ; i++) 99 { 100 int y; 101 scanf("%d",&y); 102 edge[x].push_back(y); 103 in[y]++; 104// cout<<"y:"<<y<<endl; 105 } 106 } 107 108 int root ; 109 for ( int i = 1 ; i <= n ; i++) if (in[i]==0) root = i ; 110// cout<<"root:"<<root<<endl; 111 p = 0; 112 dfs(root,0); 113 rmq_init(); 114 115 ms(cnt,0); 116 117 int q; 118 scanf("%d",&q); 119// cout<<"q:"<<q<<endl; 120 while (q--) 121 { 122 char ch[5]; 123 int x,y; 124 scanf("%1s%d%d%1s",ch,&x,&y,ch); 125 int LCA = E[rmq_min(R[x],R[y])]; 126// cout<<"x:"<<x<<" y:"<<y<<" LCA:"<<LCA<<endl; 127 cnt[LCA]++; 128 } 129// cout<<"n:"<<n<<endl; 130 for ( int i = 1 ; i <= n ; i++) 131 { 132// cout<<"cnt[i]:"<<cnt[i]<<endl; 133 if (cnt[i]==0) continue; 134 printf("%d:%d\n",i,cnt[i]); 135 } 136 } 137 138 #ifndef ONLINE_JUDGE 139 fclose(stdin); 140 #endif 141 return 0; 142}

poj 1330 Nearest Common Ancestors (lca,用dfs+rmq在线求解)

·580 words·2 mins
poj1330题目链接 题意:给出一棵树,求两点的lca. 思路:将lca转化成rmq在线求解。 代码部分参考了:参考代码 感觉实现得很巧妙。。。 把树存成了有向图,dfs遇到的时候一定是第一次遇到,此时更新R. 然后第二次遇到某个点就是在回溯的时候了。

hdu 4122 Alice's mooncake shop(rmq)

·1106 words·3 mins
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