3 solutions
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#include<bits/stdc++.h> typedef long long LL; using namespace std; const int N=10010; const LL min_ll = -1e18; int n, m; LL w[N][N]; LL f[N][N][2]; inline LL mx(LL p, LL q, LL r) { return p > q ? (p > r ? p : r) : (q > r ? q : r); } inline LL dfs(int x, int y, int from) { if (x < 1 || x > n || y < 1 || y > m) return min_ll; if (f[x][y][from] != min_ll) return f[x][y][from]; if (from == 0) f[x][y][from] = mx(dfs(x + 1, y, 0), dfs(x, y - 1, 0), dfs(x, y - 1, 1)) + w[x][y]; else f[x][y][from] = mx(dfs(x - 1, y, 1), dfs(x, y - 1, 0), dfs(x, y - 1, 1)) + w[x][y]; return f[x][y][from]; } int main(void) { scanf("%d %d", &n, &m); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { scanf("%lld", &w[i][j]); f[i][j][0] = f[i][j][1] = min_ll; } f[1][1][0] = f[1][1][1] = w[1][1]; printf("%lld\n", dfs(n, m, 1)); return 0; } -
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#include<bits/stdc++.h> #define ll long long #define fo(i,x,y) for(register int i=x;i<=y;++i) #define go(i,x,y) for(register int i=x;i>=y;--i) using namespace std; inline int read(){ int x=0,fh=1; char ch=getchar(); while(!isdigit(ch)){ if(ch=='-') fh=-1; ch=getchar(); } while(isdigit(ch)){ x=(x<<1)+(x<<3)+ch-'0'; ch=getchar(); } return x*fh; } const int N=1005; int a[N][N],n,m,S[N][N]; ll dp[N][N],pre[N],suf[N]; int main(){ n=read(),m=read(); fo(i,1,n) fo(j,1,m) a[i][j]=read(); fo(j,1,m) fo(i,1,n) S[j][i]=S[j][i-1]+a[i][j];//每一列的前缀和 pre[0]=suf[n+1]=-1e17; //由于转移的方式是从前一列直接到后一列 //因此第一列中除了第一行的元素其余的dp值均应赋为-inf,意为无法到达 fill(dp[1]+2,dp[1]+1+n,-1e17); dp[1][1]=a[1][1]; fo(i,2,m+1){//按列进行转移 //预处理pre和suf数组 fo(j,1,n) pre[j]=max(pre[j-1],dp[i-1][j]-S[i-1][j]); go(j,n,1) suf[j]=max(suf[j+1],dp[i-1][j]+S[i-1][j-1]); fo(j,1,n) dp[i][j]=max(pre[j]+S[i-1][j],suf[j]-S[i-1][j-1])+a[j][i]; } cout<<dp[m+1][n]; return 0; } -
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#include <stdio.h> typedef long long LL; const LL min\_ll = -1e18; int n, m; LL w[1005][1005], f[1005][1005][2]; inline LL mx(LL p, LL q, LL r) {return p > q ? (p > r ? p : r) : (q > r ? q : r);} inline LL dfs(int x, int y, int from) { if (x < 1 || x > n || y < 1 || y > m) return min\_ll; if (f[x][y][from] != min\_ll) return f[x][y][from]; if (from == 0) f[x][y][from] = mx(dfs(x + 1, y, 0), dfs(x, y - 1, 0), dfs(x, y - 1, 1)) + w[x][y]; else f[x][y][from] = mx(dfs(x - 1, y, 1), dfs(x, y - 1, 0), dfs(x, y - 1, 1)) + w[x][y]; return f[x][y][from]; } int main(void) { // freopen("number.in", "r", stdin); freopen("number.out", "w", stdout); scanf("%d %d", &n, &m); for (int i = 1; i <= n; ++i) for (int j = 1; j <= m; ++j) { scanf("%lld", &w[i][j]); f[i][j][0] = f[i][j][1] = min\_ll; } f[1][1][0] = f[1][1][1] = w[1][1]; printf("%lld\\n", dfs(n, m, 1)); return 0; }
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Information
- ID
- 77
- Time
- 1000ms
- Memory
- 256MiB
- Difficulty
- 7
- Tags
- # Submissions
- 44
- Accepted
- 10
- Uploaded By