# | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
---|---|---|---|---|---|---|---|
711897 | tutis | Coins (LMIO19_monetos) | C++17 | 394 ms | 17356 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/*input
0 4 1 5
0 0 1 0
0 0 0 1
0 1 1 1
1 1 0 1
*/
#pragma GCC optimize("O3")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
using ll = long long;
using ull = unsigned long long;
using ld = long double;
template<typename A, typename B>
using omap = tree <A, B, less<A>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename A>
using oset = tree <A, null_type, less<A>, rb_tree_tag, tree_order_statistics_node_update>;
const ll mod = 1e9 + 7;
ll ran(ll a, ll b)
{
//return a + (ll)(rng() % (b - a + 1));
return uniform_int_distribution<ll>(a, b)(rng);
}
ll power(ll x, ll p)
{
if (abs(x) >= mod)
x %= mod;
if (x < 0)
x += mod;
if (abs(p) >= mod - 1)
p %= mod - 1;
if (p < 0)
p += mod - 1;
ll r = 1;
while (p)
{
if (p % 2)
r = (r * x) % mod;
x = (x * x) % mod;
p /= 2;
}
return r;
}
void solve()
{
int t, n, k1, k2;
cin >> t >> n >> k1 >> k2;
int a[n][n];
int cnt = 0;
for (int i = n - 1; i >= 0; i--)
{
for (int j = n - 1; j >= 0; j--)
{
cin >> a[i][j];
cnt += a[i][j];
}
}
int sp[n][n + 1];
for (int i = 0; i < n; i++)
{
sp[i][0] = 0;
for (int j = 0; j < n; j++)
sp[i][j + 1] = sp[i][j] + a[i][j];
}
ld lo = 0;
ld hi = n * n;
while (abs(lo - hi) > 1e-7)
{
ld c = (lo + hi) / 2;
vector<pair<ld, int>>dp(n + 1, { -1e18, 0});
dp[n] = {0, 0};
for (int i = 0; i < n; i++)
{
pair<ld, int>mx = dp[n];
for (int h = n; h >= 0; h--)
{
mx = max(mx, dp[h]);
dp[h] = {mx.first + sp[i][h] - c * h, mx.second + h};
}
}
pair<ld, int>mx = { -1e50, 0};
for (int h = 0; h < n; h++)
mx = max(mx, {dp[h].first, h});
int h = mx.second;
if (dp[h].second <= cnt)
hi = c;
else
lo = c;
}
int h[n];
{
vector<pair<ld, int>>dp(n + 1, { -1e18, 0});
int fr[n][n];
dp[n] = {0, 0};
for (int i = 0; i < n; i++)
{
pair<ld, int>mx = dp[n];
int hj = n;
for (int j = n; j >= 0; j--)
{
if (dp[j] > mx)
{
hj = j;
mx = dp[j];
}
dp[j] = {mx.first + sp[i][j] - hi * j, mx.second + j};
fr[i][j] = hj;
}
}
pair<ld, int>mx = { -1e50, 0};
for (int j = 0; j < n; j++)
mx = max(mx, {dp[j].first, j});
int j = mx.second;
int i = n - 1;
while (i >= 0)
{
h[i] = j;
j = fr[i][j];
i--;
}
}
for (int i = 0; i < n; i++)
cnt -= h[i];
for (int i = 0; i < n; i++)
{
int x = min(cnt, n - h[i]);
h[i] += x;
cnt -= x;
}
{
int D = 24;
int S = 140;
if (n <= 50)
{
D = 30;
S = 300;
}
int dp[n][2 * D + 1][2 * S + 1];
int bst = -1;
for (int t = 0;; t++)
{
for (int i = 0; i < n; i++)
for (int d = -D; d <= D; d++)
for (int s = -S; s <= S; s++)
dp[i][d + D][s + S] = -1e8;
for (int i = 0; i < n; i++)
{
for (int d = -D; d <= D; d++)
{
int hi = h[i] + d;
if (hi < 0 || hi > n)
continue;
if (i == 0)
{
dp[i][d + D][d + S] = sp[i][hi];
}
else
{
for (int dj = max(hi - h[i - 1], -D); dj <= D; dj++)
{
for (int s = max(-S, -S + d); s <= min(S, S + d); s++)
{
int sj = s - d;
dp[i][d + D][s + S] = max(dp[i][d + D][s + S], dp[i - 1][dj + D][sj + S] + sp[i][hi]);
}
}
}
}
}
int s = 0;
int i = n - 1;
int di = 0;
{
pair<int, int>mx = { -1000, -1000};
for (int d = -D; d <= D; d++)
mx = max(mx, {dp[i][d + D][s + S], d});
if (mx.first <= bst)
break;
bst = mx.first;
di = mx.second;
}
while (i >= 0)
{
h[i] += di;
int x = 0;
if (i > 0)
for (int dj = -D; dj <= D; dj++)
{
if (h[i - 1] + dj >= h[i])
{
int sj = s - di;
if (s >= max(-S, -S + di) && s <= min(S, S + di))
{
if (dp[i][di + D][s + S] == dp[i - 1][dj + D][sj + S] + sp[i][h[i]])
x = dj;
}
}
}
s -= di;
i--;
di = x;
}
}
}
for (int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
a[i][j] = 0;
for (int i = 0; i < n; i++)
for (int j = 0; j < h[i]; j++)
a[i][j] = 1;
for (int i = n - 1; i >= 0; i--)
{
for (int j = n - 1; j >= 0; j--)
{
cout << a[i][j] << " ";
}
cout << "\n";
}
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
solve();
}
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