#include <bits/stdc++.h>
using namespace std;
void OJize(){cin.tie(NULL);ios_base::sync_with_stdio(false);}
typedef long long ll;
const int IINF = 0x3f3f3f3f;
const ll LINF = 0x3f3f3f3f3f3f3f3f;
#define sz(X) (int)((X).size())
#define entire(X) X.begin(),X.end()
template <class T1, class T2>ostream&operator<<(ostream &os,pair<T1,T2>const&x){os<<'('<<x.first<<", "<<x.second<<')';return os;}
template <class Ch, class Tr, class Container>basic_ostream<Ch,Tr>&operator<<(basic_ostream<Ch,Tr>&os,Container const&x){os<<"[ ";for(auto&y:x)os<<y<<" ";return os<<"]";}
// NOTE: this is not a "sparse table" related to
// binary lifting, it's literally an array which is sparse!!
template<typename T>
struct SparseArray{
// not actually sparse yet!!
int n;
vector<T> arr, sum, prefm, sufm;
vector<bool> written;
vector<int> nonempty;
SparseArray(int N): n{N}, arr(N), sum(N),
prefm(N), sufm(N),
written(N){}
void write(int i, T x){arr[i] = x; written[i] = true;}
void init(){
sum[0] = prefm[0] = arr[0];
for(int i=1; i<n; i++){
sum[i] = sum[i-1]+arr[i];
prefm[i] = max(prefm[i-1], arr[i]);
}
for(int i=0; i<n; i++) if(written[i])
nonempty.push_back(i);
sufm[n-1] = arr[n-1];
for(int i=n-2; i>=0; i--)
sufm[i] = max(sufm[i+1], arr[i]);
}
T operator[](int i){return arr[i];}
T prefsum(int i){return i>=0? sum[i] : (T)0;}
T getsum(int l, int r){return prefsum(r) - prefsum(l);}
T allmax(){return *max_element(entire(arr));}
T prefmax(int i){return i>=0? prefm[i] : (T)0;}
T sufmax(int i){return i<n? sufm[i] : (T)0;}
};
ll max_weights(int L, int n,
vector<int> X, vector<int> Y, vector<int> W){
vector<SparseArray<ll>> grid(L, SparseArray<ll>(L+1));
for(int i=0; i<L; i++)
grid[i].write(0, 0), grid[i].write(L, 0);
for(int i=0; i<n; i++) grid[X[i]].write(Y[i], (ll)W[i]);
for(auto &A: grid) A.init();
SparseArray<ll> dinc(L+1), ddec(L+1);
dinc.init(); ddec.init();
// column _,
// last column height j,
// next will increase/decrease
for(int i=1; i<L; i++){
SparseArray<ll> ndinc(L+1), nddec(L+1);
SparseArray<ll> incmaxer(L+1), decmaxer(L+1);
for(int y0: grid[i-1].nonempty){
incmaxer.write(y0, dinc[y0] - grid[i-1].prefsum(y0-1));
decmaxer.write(y0, ddec[y0] + grid[i].prefsum(y0-1));
}
incmaxer.init(), decmaxer.init();
for(int y: grid[i].nonempty){
ll incy = 0, decy = 0;
if(y == 0) incy = decy = ddec[0];
if(y == L) incy = decy = max(ddec[0], dinc[L]);
ll incmax = grid[i-1].prefsum(y-1) + incmaxer.prefmax(y-1);
incy = max(incy, incmax);
if(y == L) decy = max(decy, incmax);
ll decmax = -grid[i].prefsum(y-1) + decmaxer.sufmax(y+1);
decy = max(decy, decmax);
ndinc.write(y, incy);
nddec.write(y, decy);
}
ndinc.init(); ddec.init();
dinc = ndinc, ddec = nddec;
}
return max(dinc.allmax(), ddec.allmax());
}
#ifdef jh
int main(){OJize();
int n; cin>>n;
vector<int> X, Y, W;
for(int i=0; i<n; i++) for(int j=0; j<n; j++){
int x; cin>>x;
if(x){
X.push_back(j);
Y.push_back(n-1-i);
W.push_back(x);
}
}
cout << max_weights(n, sz(X), X, Y, W);
}
#endif
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
770 ms |
2097152 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Runtime error |
800 ms |
2097152 KB |
Execution killed with signal 9 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
777 ms |
2097152 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
4 ms |
980 KB |
Output is correct |
10 |
Correct |
9 ms |
3284 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
7 ms |
3252 KB |
Output is correct |
13 |
Correct |
1 ms |
428 KB |
Output is correct |
14 |
Correct |
8 ms |
3304 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
4 ms |
980 KB |
Output is correct |
10 |
Correct |
9 ms |
3284 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
7 ms |
3252 KB |
Output is correct |
13 |
Correct |
1 ms |
428 KB |
Output is correct |
14 |
Correct |
8 ms |
3304 KB |
Output is correct |
15 |
Correct |
7 ms |
3280 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
20 ms |
4436 KB |
Output is correct |
18 |
Correct |
20 ms |
4676 KB |
Output is correct |
19 |
Correct |
20 ms |
4524 KB |
Output is correct |
20 |
Correct |
19 ms |
4564 KB |
Output is correct |
21 |
Correct |
20 ms |
4632 KB |
Output is correct |
22 |
Correct |
37 ms |
5968 KB |
Output is correct |
23 |
Correct |
10 ms |
3524 KB |
Output is correct |
24 |
Correct |
17 ms |
4052 KB |
Output is correct |
25 |
Correct |
8 ms |
3412 KB |
Output is correct |
26 |
Correct |
12 ms |
3508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
4 ms |
980 KB |
Output is correct |
10 |
Correct |
9 ms |
3284 KB |
Output is correct |
11 |
Correct |
2 ms |
980 KB |
Output is correct |
12 |
Correct |
7 ms |
3252 KB |
Output is correct |
13 |
Correct |
1 ms |
428 KB |
Output is correct |
14 |
Correct |
8 ms |
3304 KB |
Output is correct |
15 |
Correct |
7 ms |
3280 KB |
Output is correct |
16 |
Correct |
1 ms |
468 KB |
Output is correct |
17 |
Correct |
20 ms |
4436 KB |
Output is correct |
18 |
Correct |
20 ms |
4676 KB |
Output is correct |
19 |
Correct |
20 ms |
4524 KB |
Output is correct |
20 |
Correct |
19 ms |
4564 KB |
Output is correct |
21 |
Correct |
20 ms |
4632 KB |
Output is correct |
22 |
Correct |
37 ms |
5968 KB |
Output is correct |
23 |
Correct |
10 ms |
3524 KB |
Output is correct |
24 |
Correct |
17 ms |
4052 KB |
Output is correct |
25 |
Correct |
8 ms |
3412 KB |
Output is correct |
26 |
Correct |
12 ms |
3508 KB |
Output is correct |
27 |
Correct |
599 ms |
284576 KB |
Output is correct |
28 |
Correct |
110 ms |
25224 KB |
Output is correct |
29 |
Correct |
722 ms |
293852 KB |
Output is correct |
30 |
Correct |
757 ms |
298700 KB |
Output is correct |
31 |
Correct |
736 ms |
298684 KB |
Output is correct |
32 |
Correct |
107 ms |
24140 KB |
Output is correct |
33 |
Correct |
743 ms |
298584 KB |
Output is correct |
34 |
Correct |
746 ms |
298144 KB |
Output is correct |
35 |
Correct |
653 ms |
289472 KB |
Output is correct |
36 |
Correct |
686 ms |
296912 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
777 ms |
2097152 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
770 ms |
2097152 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |