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10755.cpp
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10755.cpp
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/*
* BATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPR
* BATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPROBATPR
* BAT. `PROBATPROBA|\___/|TPROBATPROB' .ATP
* BATPR. `OBATPROBAT| |PROBATPROBA' .TPROB
* BATPRO. `BATPROBA/ \TPROBATP' .ROBATP
* BATPROB. .ATPROBA
* BATPROB' `ATPROBA
* BATPRO' `BATPRO
* BATPROBATPROBATP`---._ _.---'ROBATPROBATPROBA
* BATPROBATPROBATPROBATPR--. .--OBATPROBATPROBATPROBATP
* BATPROBATPROBATPROBATPROBAT-. .-PROBATPROBATPROBATPROBATPRO
* BATPROBATPROBATPROBATPROBATPRO. .BATPROBATPROBATPROBATPROBATPRO
* BATPROBATPROBATPROBATPROBATPROB\ /ATPROBATPROBATPROBATPROBATPROBA
* BATPROBATPROBATPROBATPROBATPROBAVTPROBATPROBATPROBATPROBATPROBATP
*
*/
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <string>
#include <sstream>
#include <cstring>
#include <cctype>
#include <cmath>
#include <climits>
#include <algorithm>
#include <vector>
#include <list>
#include <set>
#include <map>
#include <unordered_map>
#include <queue>
#include <stack>
using namespace std;
#define SZ(v) (int)v.size()
#define ALL(v) v.begin(),v.end()
#define ALLR(v) v.rbegin(),v.rend()
#define FN(s,c) (int)s.find(c)
#define FOR(i,e) for (int i = 0; i < e; i++)
#define MFOR(i,s,e) for (int i = s; i <= e; i++)
#define ROF(i,s) for (int i = s-1; i >= 0; i--)
#define MROF(i,s,e) for (int i = s; i >= e; i--)
#define IT(it,v) for(it=v.begin();it!=v.end();it++)
#define TI(it,v) for(it=v.rbegin();it!=v.rend();it++)
#define PB push_back
#define MP make_pair
#define F first
#define S second
#define FILL(a,v) memset(a,v,sizeof(a))
typedef long long LL;
typedef vector<int> VI;
typedef pair<int, int> II;
/*************************************************/
int main() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#ifndef ONLINE_JUDGE
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
int t;
int a, b, c;
cin >> t;
LL arr[30][30][30];
LL sum[30][30][30];
FOR(z, t)
{
FILL(sum, 0);
cin >> a >> b >> c;
MFOR(i, 1, a)
{
MFOR(j, 1, b)
{
MFOR(k, 1, c)
{
cin >> arr[i][j][k];
}
}
}
// max 2D range sum trick
// for each level the cell (i, j) will contain the sum of the sub array from (i, j) to (0, 0)
MFOR(lvl, 1, a)
{
// initial row and column
MFOR(row, 1, b)
{
sum[lvl][row][1] = arr[lvl][row][1] + sum[lvl][row - 1][1];
}
MFOR(col, 1, c)
{
sum[lvl][1][col] = arr[lvl][1][col] + sum[lvl][1][col - 1];
}
MFOR(row, 2, b)
{
MFOR(col, 2, c)
{
sum[lvl][row][col] = arr[lvl][row][col]
+ sum[lvl][row - 1][col] + sum[lvl][row][col - 1]
- sum[lvl][row - 1][col - 1];
}
}
}
LL mx = -1000000000000000;
LL curr_sum = 0;
// try all possible sub rectangle
MFOR(row, 1, b)
{
MFOR(col, 1, c)
{
MFOR(i, row, b)
{
MFOR(j, col, c)
{
curr_sum = 0;
// max. sum sub levels
MFOR(lvl, 1, a)
{
curr_sum += sum[lvl][i][j] - sum[lvl][row - 1][j]
- sum[lvl][i][col - 1]
+ sum[lvl][row - 1][col - 1];
mx = max(mx, curr_sum);
if (curr_sum < 0) {
curr_sum = 0;
}
}
}
}
}
}
cout << mx << endl;
if (z < t - 1) {
cout << endl;
}
}
return 0;
}