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leetcode/src/4Sum/4Sum.cpp at master · ourstart/leetcode · GitHub
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//
Source : https://oj.leetcode.com/problems/4sum/
//
Author : Hao Chen
//
Date : 2014-07-03
/*
*********************************************************************************
*
* Given an array S of n integers, are there elements a, b, c, and d in S such that a + b + c + d = target?
* Find all unique quadruplets in the array which gives the sum of target.
*
* Note:
*
* Elements in a quadruplet (a,b,c,d) must be in non-descending order. (ie, a ≤ b ≤ c ≤ d)
* The solution set must not contain duplicate quadruplets.
*
* For example, given array S = {1 0 -1 0 -2 2}, and target = 0.
*
* A solution set is:
* (-1, 0, 0, 1)
* (-2, -1, 1, 2)
* (-2, 0, 0, 2)
*
*
*********************************************************************************
*/
#
include
<
iostream
>
#
include
<
vector
>
#
include
<
algorithm
>
using
namespace
std
;
vector<vector<
int
> >
threeSum
(vector<
int
> num,
int
target);
vector<vector<
int
> >
fourSum
(vector<
int
> &num,
int
target) {
vector< vector<
int
> > result;
if
(num.
size
()<
4
)
return
result;
sort
( num.
begin
(), num.
end
() );
for
(
int
i=
0
; i<num.
size
()-
3
; i++) {
//
skip the duplication
if
(i>
0
&& num[i-
1
]==num[i])
continue
;
vector<
int
>
n
(num.
begin
()+i+
1
, num.
end
());
vector<vector<
int
> > ret =
threeSum
(n, target-num[i]);
for
(
int
j=
0
; j<ret.
size
(); j++){
ret[j].
insert
(ret[j].
begin
(), num[i]);
result.
push_back
(ret[j]);
}
}
return
result;
}
vector<vector<
int
> >
threeSum
(vector<
int
> num,
int
target) {
vector< vector<
int
> > result;
sort
(num.
begin
(), num.
end
());
int
n = num.
size
();
for
(
int
i=
0
; i<n-
2
; i++) {
//
skip the duplication
if
(i>
0
&& num[i-
1
]==num[i])
continue
;
int
a = num[i];
int
low = i+
1
;
int
high = n-
1
;
while
( low < high ) {
int
b = num[low];
int
c = num[high];
if
(a+b+c == target) {
//
got the soultion
vector<
int
> v;
v.
push_back
(a);
v.
push_back
(b);
v.
push_back
(c);
result.
push_back
(v);
//
Continue search for all triplet combinations summing to zero.
//
skip the duplication
while
(low<n && num[low]==num[low+
1
]) low++;
while
(high>
0
&& num[high]==num[high-
1
]) high--;
low++;
high--;
}
else
if
(a+b+c > target) {
//
skip the duplication
while
(high>
0
&& num[high]==num[high-
1
]) high--;
high--;
}
else
{
//
skip the duplication
while
(low<n && num[low]==num[low+
1
]) low++;
low++;
}
}
}
return
result;
}
int
printMatrix
(vector< vector<
int
> > &vv)
{
for
(
int
i=
0
; i<vv.
size
(); i++) {
cout <<
"
[
"
;
for
(
int
j=
0
; j<vv[i].
size
(); j++) {
cout <<
"
"
<< vv[i][j];
}
cout <<
"
]
"
<< endl;;
}
}
int
main
()
{
int
a[] = {
1
,
0
,-
1
,
0
,-
2
,
2
};
vector<
int
>
n
(a, a+
6
);
int
t =
0
;
vector< vector<
int
> > v =
fourSum
(n, t);
printMatrix
(v);
n.
clear
();
int
b[] = {-
1
,-
5
,-
5
,-
3
,
2
,
5
,
0
,
4
};
n.
insert
(n.
begin
(), b, b+
8
);
t = -
7
;
v =
fourSum
(n, t);
printMatrix
(v);
return
0
;
}
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