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question11.c
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/*
http://practice.geeksforgeeks.org/problems/maximize-dot-product/0
Maximum dot product
*/
#include <stdio.h>
#include <stdlib.h>
unsigned long long int findMax(unsigned long long int a, unsigned long long int b){
return a>b?a:b;
}
unsigned long long int findProd(int lenA, int lenB, unsigned long long int *arrayA, unsigned long long int *arrayB){
int i,j;
unsigned long long int dp[lenA + 1][lenB + 1];
for(i=0;i<=lenA;i++){
dp[i][0] = 0;
}
for(i=0;i<=lenB;i++){
dp[0][i] = 0;
}
for(i=1;i<=lenA;i++){
for(j=1;j<=lenB;j++){
dp[i][j] = findMax(arrayA[i-1]*arrayB[j-1] + dp[i-1][j-1], dp[i-1][j]);
}
}
return dp[lenA][lenB];
}
int main(){
int cases;
scanf("%d",&cases);
int i;
for(i=0;i<cases;i++){
int n,m;
scanf("%d %d",&n,&m);
int j;
unsigned long long int arrayA[n],arrayB[m];
for(j=0;j<n;j++){
scanf("%lld", &arrayA[j]);
}
for(j=0;j<m;j++){
scanf("%lld", &arrayB[j]);
}
printf("%llu\n",findProd(n,m,arrayA,arrayB));
}
return 0;
}