1637: Yet Satisfiability Again!

Time Limit: 5 Sec  Memory Limit: 128 MB

Description

Alice recently started to work for a hardware design company and as a part of her job, she needs to identify defects in fabricated ntegrated circuits. An approach for identifying these defects boils down to solving a satisfiability instance. She needs your help to write a program to do this task.

Input

The first line of input contains a single integer, not more than 5, indicating the number of test cases to follow. The first line of each test case contains two integers n and m where 1 ≤ n ≤ 20 indicates he number of variables and 1 ≤ m ≤ 100 indicates the number of clauses. Then, m lines follow corresponding to each clause. Each clause is a disjunction of literals in the form Xi or ~Xi for some 1 ≤ i ≤ n, where Xi indicates the negation of the literal Xi. The “or” operator is denoted by a ‘v’ character and is seperated from literals with a single pace.

Output

For each test case, display satisfiable on a single line if there is a satisfiable assignment; otherwise
display unsatisfiable.

Sample Input

2
3 3
X1 v X2
~X1
~X2 v X3
3 5
X1 v X2 v X3
X1 v ~X2
X2 v ~X3
X3 v ~X1
~X1 v ~X2 v ~X3

Sample Output

satisfiable
unsatisfiable

HINT

 

Source

解题:以为可以用位运算优化,结果,却发现,错了!好吧,还是上暴力的吧

 #include <bits/stdc++.h>
#define pii pair<int,int>
using namespace std;
const int maxn = ;
char str[maxn];
vector< pii >s[maxn];
int n,m;
void exp2num(int idx) {
bool flag = true;
for(int i = ,ret = ; str[i];) {
if(str[i] == '~') flag = false;
if(isdigit(str[i])) {
while(isdigit(str[i])) ret = ret* + (str[i++]-'');
s[idx].push_back(make_pair(ret-,flag));
ret = ;
flag = true;
} else i++;
}
}
bool check(int o){
for(int i = ; i < m; ++i){
bool flag = false;
for(int j = s[i].size()-; j >= ; --j){
if(s[i][j].second == ((o>>s[i][j].first)&)){
flag = true;
break;
}
}
if(!flag) return false;
}
return true;
}
int main(){
int T;
scanf("%d",&T);
while(T--){
scanf("%d %d",&n,&m);
getchar();
for(int i = ; i < m; ++i){
s[i].clear();
gets(str);
exp2num(i);
}
bool ok = false;
for(int i = ; i < (<<n) && !ok; ++i)
ok = check(i);
puts(ok?"satisfiable":"unsatisfiable");
}
return ;
}

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