图片.png
图片.png
//i92
//my
class Solution {
public:
int backPack(int m, vector<int> &A) {
int ss = A.size();
if (ss == 0)
return 0;
vector<vector<int>> dp(ss + 1, vector<int>(m + 1, 0));
for (int j = 1; j <= m; j++) {
dp[0][j] = -1;
}
for (int i = 1; i <= ss; i++) {
for (int j = 0; j <= m; j++) {
dp[i][j] = dp[i - 1][j];
if (j - A[i - 1] >= 0 && dp[i - 1][j - A[i - 1]] != -1) {
dp[i][j] = max(dp[i][j], dp[i - 1][j - A[i - 1]] + A[i - 1]);
}
}
}
int ans = 0;
for (int i = m; i >= 0; i--) {
ans = max(ans, dp[ss][i]);
}
return ans;
}
};
- 第二种方法：true or false 方法
//my
//f[i][w] = f[i-1][w] OR f[i-1][w-Ai-1]
class Solution {
public:
int backPack(int m, vector<int> &A) {
int ss = A.size();
vector<vector<bool>> dp(ss + 1, vector<bool>(m + 1, false));
dp[0][0] = true;
for (int i = 1; i <= ss; i++) {
for (int j = 0; j <= m; j++) {
dp[i][j] = dp[i - 1][j];
if (j - A[i - 1] >= 0 && dp[i - 1][j - A[i - 1]]) {
dp[i][j] = true;
}
}
}
for (int w = m; w >= 0; w--) {
if (dp[ss][w] == true)
return w;
}
return 0;
}
};
