ACM 杂题 hdu4915 Parenthese sequence

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ACM 杂题 hdu4915 Parenthese sequence

锻炼问题的一步步分析能力,考察选手细致。


Parenthese sequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 131072/131072 K (Java/Others)
Total Submission(s): 0    Accepted Submission(s): 0


Problem Description
bobo found an ancient string. The string contains only three charaters -- "(", ")" and "?". bobo would like to replace each "?" with "(" or ")" so that the string is valid (defined as follows). Check if the way of replacement can be uniquely determined. Note: An empty string is valid. If S is valid, (S) is valid. If U,V are valid, UV is valid.
 

Input
The input consists of several tests. For each tests: A string s1s2…sn (1≤n≤106).
 

Output
For each tests: If there is unique valid string, print "Unique". If there are no valid strings at all, print "None". Otherwise, print "Many".
 

Sample Input
??????(??
 

Sample Output
UniqueManyNone
 

Accepted491562MS1320K


/* * Author: NICK WONG * Created Time:  8/5/2014 16:08:26 * File Name: 1005.cpp */#include<iostream>#include<sstream>#include<fstream>#include<vector>#include<list>#include<deque>#include<queue>#include<stack>#include<map>#include<set>#include<bitset>#include<algorithm>#include<cstdio>#include<cstdlib>#include<cstring>#include<cctype>#include<cmath>#include<ctime>#include<iomanip>using namespace std;#define out(x) cout<<#x<<": "<<x<<endlconst double eps(1e-8);const int maxn=1010000;const long long maxint=-1u>>1;const long long maxlong=maxint*maxint;typedef long long lint;char s[maxn];int x,y,z,ll,rr,len;void init(){}int work(){    x=y=z=0;    len=strlen(s)-1;    if (len%2==1 || s[1]==')' || s[len]=='(') return -1;    s[1]='('; s[len]=')';    s[len+1]='(';    for (int i=1; i<=len; i++)    {        if (s[i]=='(') x++; else            if (s[i]=='?') {if (x==0 && z==0) x++; else z++;} else                if (s[i]==')')                 {                    if (x>=1) x--; else z--;                    if (z<0) return -1;                    if (x==0 && z==1) { x=1; z=0; }                    //if (x+z==0 && s[i+1]=='?') s[i+1]='(';                }    }    ll=z-x;    if (ll<0) return ll;    x=y=z=0;     for (int i=len; i>=1; i--)        if (s[i]==')') y++; else            if (s[i]=='?') z++; else                if (s[i]=='(')                {                    if (y>=1) y--; else z--;                    if (z<0) return -1;                }    rr=z-y;    if (rr<0) return rr;    return ll;}int main(){    while(scanf("%s",s+1)!=EOF)    {        s[0]=')';        init();        int tmp=work();        if (tmp<0) cout<<"None"<<endl; else            if (tmp==0) cout<<"Unique"<<endl; else                cout<<"Many"<<endl;    }    return 0;}


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