# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
711889 | tutis | Coins (LMIO19_monetos) | C++17 | 30 ms | 1556 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*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-5)
{
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 ans[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 h = n; h >= 0; h--)
{
if (dp[h] > mx)
{
hj = h;
mx = dp[h];
}
dp[h] = {mx.first + sp[i][h] - hi * h, mx.second + h};
fr[i][h] = hj;
}
}
pair<ld, int>mx = { -1e50, 0};
for (int h = 0; h < n; h++)
mx = max(mx, {dp[h].first, h});
int h = mx.second;
int i = n - 1;
while (i >= 0)
{
ans[i] = h;
h = fr[i][h];
i--;
}
}
for (int i = 0; i < n; i++)
cnt -= ans[i];
for (int i = 0; i < n; i++)
{
int x = min(cnt, n - ans[i]);
ans[i] += x;
cnt -= 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 < ans[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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