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ECUST_Algorithm_2019_2

时间:2019-10-24 00:24:33      阅读:64      评论:0      收藏:0      [点我收藏+]

标签:结束   很多   有一个   ==   eof   tchar   bre   最长递增子序列   ems   

简要题意及解析

1001

\(N\)个数分为\(K+8\)组,每组三个,记为\((a,b,c)\),方便起见要求\(a \leq b \leq c\),每组的代价是\((a-b)^2\),总代价为每组的代价之和。求最小的总代价。

将所有物品\(a[i]\)从小到大排序,从后向前递推。\(f[i][j]\)表示在第\(i\)个到第\(N\)个数中选\(j\)组的最小代价。

\(f[i][j]=\min_{N-i+1 \leq 3 \times j} \{f[i+2][j-1]+(a[i+1]-a[i])^2\}\)

时间复杂度\(O(Tnk)\)

\(T\)为数据组数,\(n\)为物品个数,\(k\)为所需组数。

1002

给出三个字符串\(A,B,C\),问从\(A\)\(B\)中按照与原顺序抽取一些字符,能不能组成\(C\)

\(f[i][j]\)表示从\(A\)的前\(i\)个和\(B\)的前\(j\)个中随意抽取,最多能组成\(C\)的前几位。

\(f[i][j]=\max\{f[i-1][j]+1(if~~A[i]==C[f[i-1][j]+1]),f[i][j-1]+1(if~~B[j]==C[f[i][j-1]+1])\}\)

时间复杂度\(O(Tnm)\)

\(T\)是数据组数,\(n,m\)分别为\(A,B\)的长度。

1003

给出两个字符串\(A\)\(B\),求最短的字符串\(C\),使得\(A,B\)都为\(C\)的子串

显然,\(C\)的长度\(LenC=LenA+LenB-LCS(A,B)\)

其中\(LCS\)为最长公共子序列。

\(f[i][j]\)表示\(A\)的前\(i\)个和\(B\)的前\(j\)个的\(LCS\)

\(f[i][j]=\max{f[i-1][j],f[i][j-1],f[i-1][j-1]+1(if~~A[i]==B[j])}\)

在求\(LCS\)的过程中记录每个状态\(f[i][j]\)是从哪里转移得来的,输出方案时,如果是从\(f[i-1][j]\),输出\(A[i]\),如果是从\(f[i][j-1]\),输出\(B[j]\),如果是从\(f[i-1][j-1]\),输出任一。

时间复杂度\(O(Tnm)\)

\(T\)是数据组数,\(n,m\)\(A,B\)的长度。

1004

给出一个\(n\)列的柱状图,每列宽度为\(1\),求这个柱状图的最大子矩阵面积。

正常的二维动态规划状态不可行。注意到这个最大子矩阵的高度一定是给定的\(n\)列高度中的一个。可以考虑枚举每列作为这个子矩阵的高度,最长向左向右延伸长度。

如何向左向右延伸,二分不好做,可以倍增。

考虑向右延伸。\(f[i][j]\)表示从第\(i\)个到第\(i+2^j-1\)个这个区间的最低高度。延伸时,可以从大到小枚举\(j\),只要这个最低高度\(\geq\)\(h[i]\),就可以向右走\(2^j\)步。

这个数组可以预处理求得。

\(f[i][j]=\min\{f[i][j-1],f[i+2^{j-1}][j-1]\}\)

时间复杂度\(O(Tnlogn)\)

\(T\)为数据组数,\(n\)为列数。

1005

给一个\(n\)\(m\)列的\(0/1\)矩阵,求只由\(1\)构成的子矩阵面积最大值。

悬线法

枚举矩形的底边,再枚举每一列,考虑以这一列的高度(向上连续\(1\)的最长长度)作为矩形高度。和上题类似,还是保证这个高度向左向右尽量延伸。延伸可以用类似单调栈的方法,也可以和上题一样倍增(复杂度多一个\(logm\),不过应该也能过)。

时间复杂度\(O(Tnm)\)

\(T\)为数据组数,\(n\)为行数,\(m\)为列数。

1006

给出一个\(n \times n\)的黑白方阵,求白色矩形的数量。

枚举矩形的上下边界,求这种矩形的数量可以不重不漏。

这样问题就转化为了一维:确定上下边界\(i\)\(j\)之后,如果\(a[i][k]\)\(a[j][k]\)这一列均为白色,\(p[k]\)\(1\),否则\(p[k]\)\(0\)。求连续\(1\)的块的种类数。

统计\(p\)中连续\(1\)的长度\(L\),贡献为\(L \times (L+1) \div2\)

时间复杂度\(O(Tn^3)\)

\(T\)为数据组数,\(n\)方阵边长。

1007

给出一个长度为\(n\)的字符串\(s\),你每次操作可以在\(s\)中插入一个字符,求最少几次能把\(s\)变成回文串。

巨坑 此题为多组数据,题目没说。

区间动态规划

\(f[i][j]\)表示把\([i,j]\)区间变为回文串最少次数。

\(f[i][j]=\min\{f[i][j-1]+1,f[i+1][j]+1,f[i+1][j-1] (if~~s[i]==s[j])\}\)

内存紧张,需要滚动数组。

时间复杂度\(O(Tn^2)\)

\(T\)为数据组数,\(n\)为字符串长度。

1008

有一个宽度为\(4\),深度为\(n\)的矿区,每个格子中有\(1\)\(20\)的整数,表示一种矿物。可以从每个地表向下挖,可以在任何时候换到另一列,每到一个格子就把这个矿物装入\(basket\),当\(basket\)中有相同种类的矿物时,这种矿物被取出到\(pocket\),当\(basket\)中的矿物为\(5\)个不同矿物时,游戏结束。求\(pocket\)中最多有多少对矿物。

\(f[i][j][k][l]\)表示(第一列挖到深度为\(i\),第二列挖到深度为\(j\),第三列挖到深度为\(k\),第四列挖到深度为\(j\))是否可行。每列挖到的位置定为\((i,j,k,l)\)时,\(basket\)\(pocket\)的状态是固定的,可以预处理求。

\(f[i][j][k][l]=f[i-1][j][k][l]~~|~~f[i][j-1][k][l]~~|~~f[i][j][k-1][l]~~|~~f[i][j][k][l-1]\)

在每个可行的状态求最大值。

时间复杂度\(O(Tn^4)\)
\(T\)为数据组数,\(n\)为矿区深度。

感谢\(snophy\)提供标程和题解

1009

给出两个字符串\(A,B\),你可以对\(A\)做三种操作:\((1)\)插入一个任意字符,\((2)\)删除某个位置的字符,\((3)\)把某个位置的字符替换成任意字符。最少几次能把\(A,B\)变为相同并输出方案。

\(f[i][j]\)表示使用了\(A\)的前\(i\)个和\(B\)的前\(j\)个,使得两个串暂时相同的方案数。

\(f[i][j]=\min\{f[i][j-1]+1,f[i+1][j]+1,f[i+1][j-1]+(A[i]==B[j])\}\)

其中第一个转移为插入,第二个为删除,第三个为插入(如果相同不用操作)。

这题的输出方案非常麻烦,不仅需要记录从哪里转移,还要记录之前有几次删除\(/\)插入,因为操作的位置会被影响。

时间复杂度\(O(Tnm)\)

\(T\)为数据组数,\(n\)\(A\)长度,\(m\)\(B\)的长度。

1010

\(26\)个字母分别对应一种编码,给出使用该种编码的一个密码串,再给出\(N\)个字符串,求用这\(N\)个字符串组成这个密码有多少种方案。

\(f[i]\)表示组成密码的前\(i\)位的方案数。

状态转移很显然:

\(f[i]=\sum_{j=1}^{j \leq N} f[i-L[j]]~~(if~~match(substr(i-L[j]+1,i),S[j]))\)

\(S[j]\)为第\(j\)个字符串,\(L[j]\)\(S[j]\)的长度。如果匹配,即可从\(f[i-L[j]]\)转移到\(f[i]\),匹配可以用字符串\(Hash\)

时间复杂度\(O(TNL)\)

\(T\)为数据组数,\(N\)为字符串个数,\(L\)为密码串长度。

不过话说这题这样做复杂度是不对的。可以使用\(AC\)自动机求出匹配位置进行转移,这样复杂度更优,不过空间不够用,代码也附在后面了。

1011

求任意子串中\(0\)\(1\)的数量差不超过\(K\)的长度为\(N\)\(0/1\)串的个数。

很奇怪的状态但是它竟然是对的。\(f[i][j][k]\)表示长度为$i
$的\(0/1\)串,其中以第\(i\)个元素结尾的子串中,\(0\)的个数\(-\)\(1\)的个数\(~~\)最大值为\(j\)\(1\)的个数\(-\)\(0\)的个数\(~~\)最大值为\(k\)的方案数。

\(f[i][j]=f[i-1][j-1][k+1] (if~~j\geq 0) +f[i-1][j+1][k-1] (if~~k\geq 0)+f[i-1][j-1][k](if~~k==0)+f[i-1][j][k-1](if~~j==0)\)

时间复杂度\(O(TNK^2)\)

\(T\)为数据组数,\(N,K\)同题意。

1012

给你一个\(m \times n\)的整数矩阵,在上面找一个\(x \times y\)的子矩阵,使子矩阵中所有元素的和最大。

预处理\(S[a][b]=\sum_{i=1}^{i\leq a}m[i][b]\)

然后枚举矩阵上下边界。这个问题就转化为一维最大字段和。

时间复杂度\(O(Tmn^2)\)或者\(O(Tnm^2)\)

\(T\)为数据组数,\(n,m\)为矩阵长和宽。

1013

给出\(n\)种物品的价值和个数。把这些物品分为两组,求这两组价值和的最小差值。

多重背包可行性

\(f[i]\)表示从这些物品中取得\(i\)的价值是否可能。

\(f[i]=true(if~~\exist f[i-j*v[k]]==true \And\And j\leq p[k])\)

\(k\)为物品编号,\(j\)为所取个数。

时间复杂度\(O(TnSV)\)

\(T\)为数据组数,\(n\)为物品种数,\(S\)为物品个数和,\(V\)为物品总体积。

不过这个做法的复杂度依然不对,可以二进制分组或者\(bitset\)优化

1014

你的钱有\(n\)块,\(m\)个学校可以申请,申请第\(i\)这个学校你需要花费\(a[i]\),有\(b[i]\)的概率成功,求最大的可能性。

类似\(0/1\)背包,条件概率公式。

\(f[i]\)表示花费\(i\)能得到的最大概率。

\(f[i]=\max_{j=1}^{j\leq m}\{f[i-a[j]]+(1-f[i-a[j]]\times b[j])\}\)

时间复杂度\(O(Tnm)\)

\(T\)为数据组数,\(n,m\)如题意。

1015

\(n\)种物品每种一个,重量为\(w[i]\),价值为\(p[i]\)。填满\(F-E\)的背包最少用多少价值。

\(0/1\)背包

\(f[i]\)表示重量为\(i\)的背包最少装多少价值。

\(f[i]=\min_{j=1}^{j\leq n}\{f[i-w[j]]+p[j]\}\)

时间复杂度\(O(Tn(F-E)))\)

\(T\)为数据组数,\(n,F,E\)如题意。

1016

给出\(n\)个数,问哪个数出现了至少\((n+1)/2\)次。

排个序求出每个数出现了几次即可。

时间复杂度\(O(Tnlogn)\)

\(T\)为数据组数,\(n\)为数的个数。

1017

给出\(n\)个数,找出和最大的递增子序列。

与最长递增子序列类似

\(f[i]\)表示前\(i\)个数中选了第\(i\)个数作为结尾的最大和。

\(f[i]=\max_{j=1}^{j<i}\{f[j] (if~~a[i]>a[j])\}+a[i]\)

时间复杂度\(O(Tn^2)\)

\(T\)为数据组数,\(n\)为数的个数。

1018

\(n\)项作业,第\(i\)项作业要消耗\(C\)天,\(DDL\)为第\(D\)天,每晚于\(DDL\)一天扣一分。

状态压缩动态规划

只有最多\(15\)项作业,可以用一个\(15\)位二进制数表示一个作业完成情况。我们吧这个东西放在动态规划的状态里面,\(f[i]\)表示状态为\(i\)扣的最少分数。状态转移的时候要预处理很多东西。

\(f[i]=\min_{p+2^t==i\And\And p\in i}\{f[p]+\max\{0,tim[i]-D[t]\}\}\)

\(tim[i]\)表示做完\(i\)集合作业所需的时间。

时间复杂度\(O(Tn2^n)\)

\(T\)为数据组数,\(n\)为作业的个数。

代码警告

代码警告

代码警告

代码警告

代码警告

代码警告

代码合集:

//1001
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=5010,maxk=1010;
int N,K,p[maxn];
long long f[3][maxk];
inline int sqr(int x){
????return x*x;
}
int main(){
????//freopen("in","r",stdin);
????for(int _=read();_;_--){
????????N=read()+8,K=read();
????????for(int i=1;i<=K;i++)
????????????p[i]=read();
????????sort(p+1,p+1+K);
????????memset(f,10,sizeof(f));
????????f[K%3][0]=f[(K-1)%3][0]=0;
????????for(int i=K-2;i>=1;i--){
????????????int a=i%3,b=(i+2)%3,c=(i+1)%3;
????????????for(int j=0;j<=N;j++)
????????????????f[a][j]=f[c][j];
????????????for(int j=1;j<=N&&j*3<=K-i+1;j++)
????????????????f[a][j]=min(f[a][j],f[b][j-1]+sqr(p[i+1]-p[i]));
????????}
????????printf("%I64d\n",f[1][N]);
????}
????return 0;
}

//1002
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=1010;
char A[maxn],B[maxn],C[maxn];
int LA,LB,LC,f[maxn][maxn];
int main(){
????//freopen("in","r",stdin);
????int T=read();
????for(int cas=1;cas<=T;cas++){
????????scanf("%s%s%s",A+1,B+1,C+1);
????????LA=strlen(A+1);
????????LB=strlen(B+1);
????????LC=strlen(C+1);
????????for(int i=0;i<=LA;i++)
????????????for(int j=0;j<=LB;j++)
????????????????f[i][j]=0;
????????bool flag=0;
????????int t;
????????for(int i=0;i<=LA;i++)
????????????for(int j=0;j<=LB;j++){
????????????????if(i){
????????????????????t=f[i-1][j];
????????????????????if(t<LC&&C[t+1]==A[i])
????????????????????????f[i][j]=max(f[i][j],t+1);
????????????????}
????????????????if(j){
????????????????????t=f[i][j-1];
????????????????????if(t<LC&&C[t+1]==B[j])
????????????????????????f[i][j]=max(f[i][j],t+1);
????????????????}
????????????????if(f[i][j]==LC){
????????????????????flag=1;
????????????????????goto BRK;
????????????????}
????????????}
????????BRK:;
????????/*for(int i=1;i<=LA;i++){
????????????for(int j=1;j<=LB;j++)
????????????????printf("%d ",f[i][j]);
????????????puts("");
????????}*/
????????printf("Data set %d: ",cas);
????????if(flag)
????????????puts("yes");
????????else
????????????puts("no");
????????
????}
????return 0;
}

//1003
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=110;
int N,M,f[maxn][maxn],g[maxn][maxn];
char A[maxn],B[maxn];
void prt(int x,int y){
????if(!x&&!y)return;
????if(!x){
????????prt(x,y-1);
????????printf("%c",B[y]);
????}
????else if(!y){
????????prt(x-1,y);
????????printf("%c",A[x]);
????}
????else if(g[x][y]==1){
????????prt(x-1,y);
????????printf("%c",A[x]);
????}
????else if(g[x][y]==2){
????????prt(x,y-1);
????????printf("%c",B[y]);
????}
????else{//g[x][y]==0
????????prt(x-1,y-1);
????????printf("%c",A[x]);
????}
}
int main(){
????//freopen("in","r",stdin);
????//freopen("out","w",stdout);
????while(scanf("%s%s",A+1,B+1)!=EOF){
????????N=strlen(A+1);
????????M=strlen(B+1);
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=M;j++){
????????????????f[i][j]=f[i-1][j],g[i][j]=1;
????????????????if(f[i][j-1]>f[i][j])
????????????????????f[i][j]=f[i][j-1],g[i][j]=2;
????????????????if(A[i]==B[j]&&f[i-1][j-1]+1>f[i][j])
????????????????????f[i][j]=f[i-1][j-1]+1,g[i][j]=0;
????????????}
????????prt(N,M);
????????puts("");
????}
????return 0;
}

//1004
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=100010;
int N,h[maxn],f[maxn][21],g[maxn][21];
int main(){
????//freopen("in","r",stdin);
????while(1){
????????N=read();
????????if(!N)break;
????????for(int i=1;i<=N;i++)
????????????f[i][0]=g[i][0]=h[i]=read();
????????for(int j=1;j<=20;j++)
????????????for(int i=1;i<=N;i++){
????????????????if(i+(1<<j)-1<=N)
????????????????????f[i][j]=min(f[i][j-1],f[i+(1<<j-1)][j-1]);
????????????????if(i-(1<<j)+1>=1)
????????????????????g[i][j]=min(g[i][j-1],g[i-(1<<j-1)][j-1]);
????????????}
????????long long ans=0;
????????for(int i=1;i<=N;i++){
????????????int L=i,R=i;
????????????for(int j=20;j>=0;j--){
????????????????if(R+(1<<j)-1<=N&&f[R][j]>=h[i])
????????????????????R+=(1<<j);
????????????????if(L-(1<<j)+1>=1&&g[L][j]>=h[i])
????????????????????L-=(1<<j);
????????????}
????????????ans=max(ans,1LL*(R-L-1)*h[i]);
????????????//printf("%d %d %d\n",i,L,R);
????????}
????????printf("%I64d\n",ans);
????}
????return 0;
}

//1005
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=1010;
int N,M,a[maxn][maxn],U[maxn],L[maxn],R[maxn];
int main(){
????//freopen("in","r",stdin);
????for(int _=read();_;_--){
????????N=read(),M=read();
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=M;j++)
????????????????a[i][j]=(one()=='F');
????????for(int i=1;i<=M;i++)
????????????U[i]=0;
????????U[0]=U[M+1]=-1;
????????int ans=0;
????????for(int i=1;i<=N;i++){
????????????for(int j=1;j<=M;j++)
????????????????if(a[i][j])
????????????????????U[j]++;
????????????????else
????????????????????U[j]=0;
????????????for(int j=1;j<=M;j++){
????????????????int k=j;
????????????????while(U[j]<=U[k-1])
????????????????????k=L[k-1];
????????????????L[j]=k;
????????????}
????????????for(int j=M;j>=1;j--){
????????????????int k=j;
????????????????while(U[j]<=U[k+1])
????????????????????k=R[k+1];
????????????????R[j]=k;
????????????}
????????????for(int j=1;j<=M;j++)
????????????????ans=max(ans,(R[j]-L[j]+1)*U[j]);
????????}
????????printf("%d\n",3*ans);
????}
????return 0;
}

//1006
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=110;
int N,a[maxn][maxn],U[maxn][maxn];
int main(){
????//freopen("in","r",stdin);
????while(scanf("%d",&N)!=EOF){
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=N;j++)
????????????????a[i][j]=(one()=='.');
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=N;j++)
????????????????if(a[i][j])
????????????????????U[i][j]=U[i-1][j]+1;
????????????????else
????????????????????U[i][j]=0;
????????int ans=0;
????????for(int i=1;i<=N;i++)
????????????for(int j=i;j<=N;j++)
????????????????for(int k=1;k<=N;k++){
????????????????????if(U[j][k]<j-i+1)continue;
????????????????????int p=k;
????????????????????while(p+1<=N&&U[j][p+1]>=j-i+1)
????????????????????????p++;
????????????????????int len=p-k+1;
????????????????????ans+=len*(len+1)/2;
????????????????????k=p;
????????????????}
????????printf("%d\n",ans);
????}
????return 0;
}

//1007
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=5010;
int N;
int f[2][maxn];
char s[maxn];
int main(){
????//freopen("in","r",stdin);
????while(scanf("%d",&N)!=EOF){
????????for(int i=0;i<=N+1;i++)
????????????f[0][i]=f[1][i]=0;
????????scanf("%s",s+1);
????????for(int i=N;i>=1;i--)
????????????for(int j=i;j<=N;j++)
????????????????if(s[i]==s[j])
????????????????????f[i&1][j]=f[(i+1)&1][j-1];
????????????????else
????????????????????f[i&1][j]=min(f[i&1][j-1],f[(i+1)&1][j])+1;
????????printf("%d\n",f[1][N]);
????}
????return 0;
}

//1008
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <cmath>
#include <map>

using namespace std;

const int INF = 1e7;

inline int lowbit(int x) {
    return x & (-x);
}

inline int ct(int x) {
    int ret = 0;
    while (x) {
        x -= lowbit(x);
        ret++;
    }
    return ret;
}

bool f[50][50][50][50];
int pre[10][50];

int main() {
    //freopen("in", "r", stdin);
    int n;
    while (scanf("%d", &n) && n) {
        memset(pre, 0, sizeof(pre));
        for (int i = 1; i <= n; i++)
            for (int j = 1; j <= 4; j++) {
                int tmp;
                scanf("%d", &tmp);
                pre[j][i] = (1 << (tmp - 1)) ^ pre[j][i - 1];
            }
        int ans = 0;
????????f[0][0][0][0]=1;
        for (int i = 0; i <= n; i++)
            for (int j = 0; j <= n; j++)
                for (int k = 0; k <= n; k++)
                    for (int l = 0; l <= n; l++) {
????????????????????????if(!(i+j+k+l))continue;
                        int cnt = ct(pre[1][i] ^ pre[2][j] ^ pre[3][k] ^ pre[4][l]);
                        int tmp = i + j + k + l - cnt;
????????????????????????f[i][j][k][l]=0;
????????????????????????if(i)f[i][j][k][l]|=f[i-1][j][k][l];
????????????????????????if(j)f[i][j][k][l]|=f[i][j-1][k][l];
????????????????????????if(k)f[i][j][k][l]|=f[i][j][k-1][l];
????????????????????????if(l)f[i][j][k][l]|=f[i][j][k][l-1];
                        if (cnt >= 5)
                            f[i][j][k][l] = false;
                        ans = max(ans, f[i][j][k][l] ? tmp / 2 : 0);
                    }
        printf("%d\n", ans);
    }
    return 0;
}
//snophy

//1009
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=85,INF=1<<30;
int N,M,f[maxn][maxn],g[maxn][maxn],inc[maxn][maxn];
char A[maxn],B[maxn];
void prt(int x,int y,int v){
????if(!(x+y)||!v)return;
????if(g[x][y]==4)
????????prt(x-1,y-1,v);
????else if(g[x][y]==3){
????????prt(x-1,y-1,v-1);
????????printf("%d Replace %d,%c\n",v,x+inc[x][y],B[y]);
????}
????else if(g[x][y]==2){
????????prt(x-1,y,v-1);
????????printf("%d Delete %d\n",v,x+inc[x][y]+1);
????}
????else{//g[x][y]==1
????????prt(x,y-1,v-1);
????????printf("%d Insert %d,%c\n",v,x+inc[x][y],B[y]);
????}
}
int main(){
????//freopen("in","r",stdin);
????while(scanf("%s%s",A+1,B+1)!=EOF){
????????N=strlen(A+1);
????????M=strlen(B+1);
????????for(int i=0;i<=N;i++)
????????????for(int j=0;j<=M;j++)
????????????????f[i][j]=INF;
????????f[0][0]=0,inc[0][0]=0;
????????for(int i=1;i<=M;i++)
????????????f[0][i]=i,g[0][i]=1,inc[0][i]=i;
????????for(int i=1;i<=N;i++)
????????????f[i][0]=i,g[i][0]=2,inc[i][0]=-i;
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=M;j++){
????????????????f[i][j]=f[i][j-1]+1,g[i][j]=1,inc[i][j]=inc[i][j-1]+1;
????????????????if(f[i][j]>f[i-1][j]+1)
????????????????????f[i][j]=f[i-1][j]+1,g[i][j]=2,inc[i][j]=inc[i-1][j]-1;
????????????????if(A[i]==B[j]&&f[i][j]>f[i-1][j-1])
????????????????????f[i][j]=f[i-1][j-1],g[i][j]=4,inc[i][j]=inc[i-1][j-1];
????????????????else if(f[i][j]>f[i-1][j-1]+1)
????????????????????f[i][j]=f[i-1][j-1]+1,g[i][j]=3,inc[i][j]=inc[i-1][j-1];
????????????}
????????printf("%d\n",f[N][M]);
????????prt(N,M,f[N][M]);
????????/*for(int i=0;i<=N;i++){
????????????for(int j=0;j<=M;j++)
????????????????printf("%3d ",f[i][j]);
????????????puts("");
????????}
????????puts("");
????????for(int i=0;i<=N;i++){
????????????for(int j=0;j<=M;j++)
????????????????printf("%3d ",g[i][j]);
????????????puts("");
????????}
????????puts("");
????????for(int i=0;i<=N;i++){
????????????for(int j=0;j<=M;j++)
????????????????printf("%3d ",inc[i][j]);
????????????puts("");
????????}
????????puts("");*/
????}
????return 0;
}

//1010
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=10010,MOD=19260817;
char s[maxn];
int N,M,f[maxn],len[maxn];
char dict[26][6]={".-","-...","-.-.","-..",".","..-.","--.","....","..",".---","-.-",".-..","--","-.","---",".--.","--.-",".-.","...","-","..-","...-",".--","-..-","-.--","--.."};
char word[maxn][25];
int Hash[maxn],Hword[maxn],pow2[maxn];
inline int get_hash(int L,int R){
????return ((Hash[R]-1LL*Hash[L-1]*pow2[R-L+1])%MOD+MOD)%MOD;
}
int main(){
????//freopen("in","r",stdin);
????pow2[0]=1;
????for(int i=1;i<maxn;i++)
????????pow2[i]=(pow2[i-1]*2)%MOD;
????for(int _=read();_;_--){
????????scanf("%s",s+1);
????????M=strlen(s+1);
????????for(int i=1;i<=M;i++){
????????????int c=0;
????????????if(s[i]=='-')c=1;
????????????Hash[i]=(Hash[i-1]*2+c)%MOD;
????????}
????????N=read();
????????for(int i=1;i<=N;i++){
????????????scanf("%s",word[i]+1);
????????????len[i]=0;Hword[i]=0;
????????????for(int j=1;word[i][j];j++){
????????????????len[i]+=strlen(dict[word[i][j]-'A']);
????????????????for(int k=0;dict[word[i][j]-'A'][k];k++){
????????????????????int c=0;
????????????????????if(dict[word[i][j]-'A'][k]=='-')c=1;
????????????????????Hword[i]=(Hword[i]*2+c)%MOD;
????????????????}
????????????}
????????}
????????f[0]=1;
????????for(int i=1;i<=M;i++){
????????????f[i]=0;
????????????for(int j=1;j<=N;j++)
????????????????if(i>=len[j]&&get_hash(i-len[j]+1,i)==Hword[j])
????????????????????f[i]+=f[i-len[j]];
????????}
????????printf("%d\n",f[M]);
????}
????return 0;
}

//1010MLE代码
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
    char ch=getchar();
    while(ch==' '||ch=='\n')
        ch=getchar();
    return ch;
}
const int maxn=10010,maxm=10000*20*4+10;
char s[maxn];
int N,f[maxn];
char dict[26][6]={".-","-...","-.-.","-..",".","..-.","--.","....","..",".---","-.-",".-..","--","-.","---",".--.","--.-",".-.","...","-","..-","...-",".--","-..-","-.--","--.."};
int ch[maxm][2],fail[maxm],cnt,Len[maxn];
vector<int>End[maxm];
void clear(){
    cnt=0;
    memset(ch[0],0,sizeof(ch));
    fail[0]=0;
}
void ins(char *s,int id){
    int now=0;Len[id]=0;
    for(int i=1;s[i];i++){
        for(int j=0;dict[s[i]-'A'][j];j++){
            int c=0;
            if(dict[s[i]-'A'][j]=='-')
                c=1;
            //printf("%c",dict[s[i]-'A'][j]);
            if(!ch[now][c]){
                ch[now][c]=++cnt;
                memset(ch[cnt],0,sizeof(ch[cnt]));
                fail[cnt]=0;
                End[cnt].clear();
            }
            now=ch[now][c];
            Len[id]++;
        }
    }
    End[now].push_back(id);
    //printf("%d %d\n",now,id);
    //puts("");
}
int q[maxm],head,tail;
void bfs_build(){
    head=1,tail=0;
    for(int i=0;i<2;i++)
        if(ch[0][i])
            q[++tail]=ch[0][i];
    for(;head<=tail;head++){
        int x=q[head];
        for(int i=0;i<2;i++)
            if(ch[x][i]){
                fail[ch[x][i]]=ch[fail[x]][i];
                q[++tail]=ch[x][i];
            }
            else
                ch[x][i]=ch[fail[x]][i];
    }
}
void solve(){
    for(int i=1;i<=tail;i++){
        int siz=End[fail[q[i]]].size();
        for(int j=0;j<siz;j++)
            End[q[i]].push_back(End[fail[q[i]]][j]);
    }
}
void query(char *s){
    int cur=0;f[0]=1;
    for(int i=1;i<=N;i++){
        f[i]=0;
        int c=0;
        if(s[i]=='-')
            c=1;
        cur=ch[cur][c];
        int siz=End[cur].size();
        for(int j=0;j<siz;j++)
            f[i]+=f[i-Len[End[cur][j]]];
    }
}
int main(){
    //freopen("in","r",stdin);
    for(int _=read();_;_--){
        scanf("%s",s+1);
        N=strlen(s+1);
        clear();
        char tmp[25];
        for(int _=read();_;_--){
            scanf("%s",tmp+1);
            ins(tmp,_);
        }
        bfs_build();
        solve();
        query(s);
        printf("%d\n",f[N]);
    }
    return 0;
}

//1011
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=65,maxk=7;
int N,K;
long long f[maxn][maxk][maxk];
int main(){
????//freopen("in","r",stdin);
????while(scanf("%d%d",&N,&K)!=EOF){
????????f[0][0][0]=1;
????????for(int i=1;i<=N;i++)
????????????for(int j=0;j<=K;j++)
????????????????for(int k=0;k<=K;k++){
????????????????????f[i][j][k]=0;
????????????????????if(j){
????????????????????????if(!k)
????????????????????????????f[i][j][k]+=f[i-1][j-1][k];
????????????????????????if(k<K)
????????????????????????????f[i][j][k]+=f[i-1][j-1][k+1];
????????????????????}
????????????????????if(k){
????????????????????????if(!j)
????????????????????????????f[i][j][k]+=f[i-1][j][k-1];
????????????????????????if(j<K)
????????????????????????????f[i][j][k]+=f[i-1][j+1][k-1];
????????????????????}
????????????????????/*if(f[i][j][k])
????????????????????????printf("%d %d %d %d\n",i,j,k,f[i][j][k]);*/
????????????????}
????????long long ans=0;
????????for(int j=0;j<=K;j++)
????????????for(int k=0;k<=K;k++)
????????????????ans+=f[N][j][k];
????????printf("%I64d\n",ans);
????}
????return 0;
}

//1012
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=1010;
int N,M,X,Y,a[maxn][maxn],sum[maxn][maxn];
int main(){
????//freopen("in","r",stdin);
????for(int _=read();_;_--){
????????N=read(),M=read(),X=read(),Y=read();
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=M;j++)
????????????????a[i][j]=read(),sum[i][j]=sum[i-1][j]+sum[i][j-1]+a[i][j]-sum[i-1][j-1];
????????int ans=0;
????????for(int i=X;i<=N;i++)
????????????for(int j=Y;j<=M;j++)
????????????????ans=max(ans,sum[i][j]-sum[i-X][j]-sum[i][j-Y]+sum[i-X][j-Y]);
????????printf("%d\n",ans);
????}
????return 0;
}

//1013
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=55,maxm=50*50*100+10;
int N,v[maxn],p[maxn],sum;
bool f[maxm];
int main(){
????//freopen("in","r",stdin);
????while(1){
????????N=read();sum=0;
????????if(N<0)break;
????????for(int i=1;i<=N;i++)
????????????v[i]=read(),p[i]=read(),sum+=v[i]*p[i];
????????for(int i=1;i<=sum/2;i++)
????????????f[i]=0;
????????f[0]=1;
????????int ans=0;
????????for(int i=1;i<=N;i++)
????????????for(int j=1;j<=p[i];j++)
????????????????for(int k=sum/2;k>=j*v[i];k--)
????????????????????if(f[k-j*v[i]])
????????????????????????f[k]=1,ans=max(ans,k);
????????printf("%d %d\n",sum-ans,ans);
????}
????return 0;
}

//1014
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=10010;
int N,M,w[maxn];
double v[maxn];
double f[maxn];
int main(){
????//freopen("in","r",stdin);
????while(1){
????????N=read(),M=read();
????????if(N+M==0)break;
????????for(int i=0;i<=N;i++)
????????????f[i]=-1;
????????for(int i=1;i<=M;i++)
????????????w[i]=read(),scanf("%lf",&v[i]);
????????f[0]=0;
????????for(int i=1;i<=M;i++)
????????????for(int j=N;j>=w[i];j--)
????????????????if(f[j-w[i]]>=0)
????????????????????f[j]=max(f[j],f[j-w[i]]+(1-f[j-w[i]])*v[i]);
????????double ans=0;
????????for(int i=0;i<=N;i++)
????????????ans=max(ans,f[i]);
????????printf("%.1lf%%\n",ans*100);
????}
????return 0;
}

//1015
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=510,maxm=10010,INF=1<<30;
int N,M,f[maxm],w[maxn],p[maxn];
int main(){
????//freopen("in","r",stdin);
????for(int _=read();_;_--){
????????M=read()-read();
????????N=read(),M=-M;
????????for(int i=1;i<=N;i++)
????????????p[i]=read(),w[i]=read();
????????for(int i=1;i<=M;i++)
????????????f[i]=INF;
????????for(int i=1;i<=N;i++)
????????????for(int j=w[i];j<=M;j++)
????????????????f[j]=min(f[j],f[j-w[i]]+p[i]);
????????if(f[M]==INF)
????????????puts("This is impossible.");
????????else
????????????printf("The minimum amount of money in the piggy-bank is %d.\n",f[M]);
????}
????return 0;
}

//1016
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=1000010;
int N,a[maxn];
int main(){
????//freopen("in","r",stdin);
????while(scanf("%d",&N)!=EOF){
????????for(int i=1;i<=N;i++)
????????????a[i]=read();
????????sort(a+1,a+1+N);
????????for(int i=1;i<=N;){
????????????int j=i;
????????????while(j<=N&&a[i]==a[j])
????????????????j++;
????????????if(j-i>=(N+1)/2){
????????????????printf("%d\n",a[i]);
????????????????break;
????????????}
????????????i=j;
????????}
????}
????return 0;
}

//1017
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=1010;
int N,a[maxn];
long long f[maxn];
int main(){
????//freopen("in","r",stdin);
????while(1){
????????N=read();
????????if(!N)break;
????????for(int i=1;i<=N;i++)
????????????a[i]=read();
????????long long ans=0;
????????for(int i=1;i<=N;i++){
????????????f[i]=a[i];
????????????for(int j=1;j<i;j++)
????????????????if(a[i]>a[j])
????????????????????f[i]=max(f[i],f[j]+a[i]);
????????????ans=max(ans,f[i]);
????????}
????????printf("%I64d\n",ans);
????}
????return 0;
}

//1018
#include<iostream>
#include<cstdio>
#include<cstring>
#include<ctime>
#include<cstdlib>
#include<algorithm>
#include<cmath>
#include<string>
#include<queue>
#include<vector>
#include<map>
#include<set>
#include<utility>
#include<iomanip>
using namespace std;
int read(){
    int xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
long long READ(){
    long long xx=0,ff=1;char ch=getchar();
    while(ch>'9'||ch<'0'){if(ch=='-')ff=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){xx=xx*10+ch-'0';ch=getchar();}
    return xx*ff;
}
char one(){
????char ch=getchar();
????while(ch==' '||ch=='\n')
????????ch=getchar();
????return ch;
}
const int maxn=15;
const long long INF=1LL<<60;
int N,d[maxn],c[maxn],g[1<<maxn],lin[1<<maxn],rk[maxn];
char s[maxn][110];
long long f[1<<maxn],tim[1<<maxn];
inline bool cmp(int x,int y){
????for(int i=0;;i++)
????????if(s[x][i]!=s[y][i])
????????????return s[x][i]<s[y][i];
????return 0;
}
inline int lowbit(int x){return x&-x;}
void print(int x){
????if(!x)return;
????print(x-(1<<g[x]));
????printf("%s\n",s[g[x]]);
}
int main(){
????for(int i=0;i<maxn;i++)
????????lin[1<<i]=i;
????//freopen("in","r",stdin);
????for(int _=read();_;_--){
????????N=read();
????????for(int i=0;i<N;i++){
????????????scanf("%s",s[i]);
????????????d[i]=read(),c[i]=read();
????????????rk[i]=i;
????????}
????????sort(rk,rk+N,cmp);
????????for(int i=1;i<(1<<N);i++)
????????????tim[i]=tim[i-lowbit(i)]+c[lin[lowbit(i)]];
????????for(int i=0;i<(1<<N);i++)
????????????f[i]=INF;
????????f[0]=0;
????????for(int i=1;i<(1<<N);i++){
????????????int j=i;
????????????while(j){
????????????????int t=lin[lowbit(j)];
????????????????int p=i-(1<<t);
????????????????if(f[i]>f[p]+max(0LL,tim[i]-d[t]))
????????????????????f[i]=f[p]+max(0LL,tim[i]-d[t]),g[i]=t;
????????????????else if(f[i]==f[p]+max(0LL,tim[i]-d[t]))
????????????????????if(rk[g[i]]<rk[t])
????????????????????????g[i]=t;
????????????????j-=lowbit(j);
????????????}
????????}
????????printf("%I64d\n",f[(1<<N)-1]);
????????print((1<<N)-1);
????}
????return 0;
}

ECUST_Algorithm_2019_2

标签:结束   很多   有一个   ==   eof   tchar   bre   最长递增子序列   ems   

原文地址:https://www.cnblogs.com/lzhAFO/p/11728504.html

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