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15. 3Sum Problem's Link
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Mean:
给定一个数列,找出这个数列中和为0的三元组.
analyse:
时间复杂度:O(n^2)
思路很简单,注意一下去重的方法.
Time complexity: O(N)
view code
/**
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-02-16-17.21
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long( LL);
typedef unsigned long long( ULL);
const double eps( 1e-8);
class Solution
{
public :
vector < vector < int > > threeSum( vector < int >& nums)
{
int si = nums . size();
vector < vector < int > > ret;
sort( nums . begin (), nums . end());
int target , sum , low , high;
for( int i = 0; i < si; i ++)
{
target =- nums [ i ];
low = i + 1;
high = si - 1;
// not exist two active integet's sum greater than target
if( target < 0)
break;
while( low < high)
{
sum = nums [ low ] + nums [ high ];
if( sum < target)
++ low;
else if( sum > target)
-- high;
else
{
vector < int > triple( 3 , 0);
triple [ 0 ] = nums [ i ];
triple [ 1 ] = nums [ low ];
triple [ 2 ] = nums [ high ];
ret . push_back( triple);
while( low < high && triple [ 1 ] == nums [ low ]) ++ low;
while( low < high && triple [ 2 ] == nums [ high ]) -- high;
}
}
while( i + 1 < nums . size() && nums [ i + 1 ] == nums [ i ])
++ i;
}
return ret;
}
};
int main()
{
Solution solution;
int n;
while( cin >>n)
{
vector < int > ve;
for( int i = 0; i <n; ++ i)
{
int tmp;
cin >> tmp;
ve . push_back( tmp);
}
vector < vector < int > > ans;
ans = solution . threeSum( ve);
for( auto p1: ans)
{
for( auto p2: p1)
cout << p2 << " ";
cout << endl;
}
}
return 0;
}
* -----------------------------------------------------------------
* Copyright (c) 2016 crazyacking.All rights reserved.
* -----------------------------------------------------------------
* Author: crazyacking
* Date : 2016-02-16-17.21
*/
#include <queue>
#include <cstdio>
#include <set>
#include <string>
#include <stack>
#include <cmath>
#include <climits>
#include <map>
#include <cstdlib>
#include <iostream>
#include <vector>
#include <algorithm>
#include <cstring>
using namespace std;
typedef long long( LL);
typedef unsigned long long( ULL);
const double eps( 1e-8);
class Solution
{
public :
vector < vector < int > > threeSum( vector < int >& nums)
{
int si = nums . size();
vector < vector < int > > ret;
sort( nums . begin (), nums . end());
int target , sum , low , high;
for( int i = 0; i < si; i ++)
{
target =- nums [ i ];
low = i + 1;
high = si - 1;
// not exist two active integet's sum greater than target
if( target < 0)
break;
while( low < high)
{
sum = nums [ low ] + nums [ high ];
if( sum < target)
++ low;
else if( sum > target)
-- high;
else
{
vector < int > triple( 3 , 0);
triple [ 0 ] = nums [ i ];
triple [ 1 ] = nums [ low ];
triple [ 2 ] = nums [ high ];
ret . push_back( triple);
while( low < high && triple [ 1 ] == nums [ low ]) ++ low;
while( low < high && triple [ 2 ] == nums [ high ]) -- high;
}
}
while( i + 1 < nums . size() && nums [ i + 1 ] == nums [ i ])
++ i;
}
return ret;
}
};
int main()
{
Solution solution;
int n;
while( cin >>n)
{
vector < int > ve;
for( int i = 0; i <n; ++ i)
{
int tmp;
cin >> tmp;
ve . push_back( tmp);
}
vector < vector < int > > ans;
ans = solution . threeSum( ve);
for( auto p1: ans)
{
for( auto p2: p1)
cout << p2 << " ";
cout << endl;
}
}
return 0;
}
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