Find the contiguous subarray within an array (containing at least one number) which has the largest product.
For example, given the array
the contiguous subarray
[2,3,-2,4]
,the contiguous subarray
[2,3]
has the largest product = 6
.
Answer:
DP method:
DP method:
maxp(i) = max(max(maxp(i-1) * A[i], minp(i-1) * A[i] ), A[i]);
minp(i) = min(min(minp(i-1) *A[i], minp(i-1) * A[i]), A[i]);
res = max(maxp(i)) for all i.
minp(i) = min(min(minp(i-1) *A[i], minp(i-1) * A[i]), A[i]);
res = max(maxp(i)) for all i.
class Solution {
public:
int maxProduct(int A[], int n) {
int res = A[0];
int maxp = A[0];
int minp = A[0];
for (int i=1;i<n;i++){
int tmpmax = maxp;
int tmpmin = minp;
maxp = max(max(tmpmax*A[i],tmpmin*A[i]),A[i]);
minp = min(min(tmpmax*A[i],tmpmin*A[i]),A[i]);
res = max(maxp,res);
}
return res;
}
};
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