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1798.cpp
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#include <bits/stdc++.h>
using namespace std;
int solve(int numPipes, int maxSize, int pipeLengths[], int pipeValues[], int dp[1010][2010]) {
if(numPipes == 0 || maxSize == 0) {
return 0;
}
else if(dp[numPipes][maxSize] != 0) {
return dp[numPipes][maxSize];
}
if(pipeLengths[numPipes-1] <= maxSize) {
return dp[numPipes][maxSize] = max(
pipeValues[numPipes-1] + solve(numPipes, maxSize - pipeLengths[numPipes-1], pipeLengths, pipeValues,dp),
solve(numPipes-1, maxSize, pipeLengths, pipeValues, dp)
);
}
else {
return solve(numPipes - 1, maxSize, pipeLengths, pipeValues, dp);
}
}
int main(){
int dp[1010][2010];
memset(dp, 0, sizeof(dp));
int numPipes, maxSize;
scanf("%d %d", &numPipes, &maxSize);
int pipeLengths[numPipes+10], pipeValues[numPipes+10];
for(int i = 0; i < numPipes;i++)
scanf("%d %d",&pipeLengths[i], &pipeValues[i]);
for(int i = 0;i <= numPipes;i++) {
for(int j = 0;j <= maxSize;j++) {
if(i == 0 || j == 0){
dp[i][j] = 0;
}
else if(pipeLengths[i-1] <= j) {
dp[i][j] = max(pipeValues[i-1] + dp[i][j - pipeLengths[i-1]], dp[i-1][j]);
}
else {
dp[i][j] = dp[i-1][j];
}
}
}
printf("%d\n", dp[numPipes][maxSize]);
// printf("%d\n", solve(numPipes, maxSize, pipeLengths, pipeValues, dp));
return 0;
}