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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#292493 | #7120. Soccer | feiz | 0 | 0ms | 0kb | C++14 | 7.5kb | 2023-12-28 06:13:24 | 2024-04-28 08:07:15 |
Judging History
answer
#pragma GCC optimize(2)
/*
ID: Victor Chen [mail_vi1]
PROG: Soccer Stadium
LANG: C++
*/
#include <cstdlib>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <vector>
#include <map>
#include <cassert>
using namespace std;
const int Maxn = 2000;
typedef long long ll;
map<ll, bool> hash_mp;
map<ll, int> dp;
map<ll, bool> proc;
int n, ans;
bool mp[Maxn+10][Maxn+10];
int pre[Maxn+10][Maxn+10];
// int dp[Maxn+10][Maxn+10];
struct Rectangle
{
int x, y; // The id signifies the rectangle.
int l, r; // The left bound and the right bound.
int u, d; // The upper bound and the lower bound.
ll hsh;
Rectangle(){}
Rectangle(int x1, int y1, int x2, int y2)
{
u = x1; d = x2;
l = y1; r = y2;
}
int find_area()
{
return (r-l+1) * (d-u+1);
}
void getHash()
{
hsh = (((((ll)l*Maxn)+r)*Maxn)+u)*Maxn+d;
}
bool exist()
{
return l != 0;
}
void print()
{
printf("%d %d %d %d\n", u, l, d, r);
}
void print(int x)
{
printf("%d %d %d %d: %d\n", u, l, d, r, x);
}
}rec[Maxn+10][Maxn+10];
int cnt;
Rectangle ord[Maxn*Maxn+10];
map<int, Rectangle> mp_find_rect, mp_find_rect_up, mp_find_rect_down;
bool cmp(Rectangle x, Rectangle y)
{
if(x.d-x.u != y.d-y.u)
return (x.d-x.u) < (y.d-y.u);
else
return (x.r-x.l) > (y.r-y.l);
}
Rectangle merge(Rectangle x, Rectangle y)
{
return Rectangle(max(x.u, y.u), max(x.l, y.l), min(x.d, y.d), min(x.r, y.r));
}
int find_sum(int x1, int y1, int x2, int y2)
{
return pre[x2][y2] - pre[x2][y1-1] - pre[x1-1][y2] + pre[x1-1][y1-1];
}
Rectangle find_rect(int x, int y, int k)
{
int h = x * (Maxn + 10) * (Maxn + 10)+ y * (Maxn + 10) + k;
if(mp_find_rect.find(k) != mp_find_rect.end()) {return mp_find_rect[k];}
Rectangle ret = Rectangle();
ret.u = x, ret.d = k;
ret.l = ret.r = y;
int l = 1, r = y, mid;
while(l <= r)
{
mid = (l+r)/2;
if(find_sum(x, mid, k, y) == 0)
{
r = mid - 1;
ret.l = mid;
}
else
l = mid + 1;
}
l = y, r = n;
while(l <= r)
{
mid = (l+r)/2;
if(find_sum(x, y, k, mid) == 0)
{
l = mid + 1;
ret.r = mid;
}
else
r = mid - 1;
}
mp_find_rect[h] = ret;
return ret;
}
Rectangle find_up_rect(int x, int y, int k)
{ int h = x * (Maxn + 10) * (Maxn + 10)+ y * (Maxn + 10) + k;
if(mp_find_rect_up.find(k) != mp_find_rect_up.end()) {return mp_find_rect_up[k];}
Rectangle ret;
ret.l = x, ret.r = y, ret.u = ret.d = k;
int l = 1, r = k, mid;
while(l <= r)
{
mid = (l+r)/2;
if(find_sum(mid, x, k, y) == 0)
{
r = mid - 1;
ret.u = mid;
}
else
l = mid + 1;
}
mp_find_rect_up[h] = ret;
return ret;
}
Rectangle find_down_rect(int x, int y, int k)
{int h = x * (Maxn + 10) * (Maxn + 10)+ y * (Maxn + 10) + k;
if(mp_find_rect_down.find(k) != mp_find_rect_down.end()) {return mp_find_rect_down[k];}
Rectangle ret;
ret.l = x, ret.r = y, ret.u = ret.d = k;
int l = k, r = n, mid;
while(l <= r)
{
mid = (l+r)/2;
if(find_sum(k, x, mid, y) == 0)
{
l = mid + 1;
ret.d = mid;
}
else
r = mid - 1;
}
mp_find_rect_down[h] = ret;
return ret;
}
int tp;
int nxt[Maxn+10][Maxn+10];
int prv[Maxn+10][Maxn+10];
int biggest_stadium(int N, vector<vector<int>> F)
{
n = N;
for(int i=1; i<=n; i++)
for(int j=1; j<=n; j++)
{
mp[i][j] = F[i-1][j-1];
pre[i][j] = pre[i-1][j] + pre[i][j-1] - pre[i-1][j-1] + mp[i][j];
}
for(int i=1; i<=n; i++)
{
int lst0 = n+1, lst1 = n+1;
for(int j=n; j>=1; j--)
if(mp[i][j] == 0)
{
nxt[i][j] = lst1;
lst0 = j;
}
else
{
nxt[i][j] = lst0;
lst1 = j;
}
}
for(int i=1; i<=n; i++)
{
int pre0 = 0, pre1 = 0;
for(int j=1; j<=n; j++)
if(mp[i][j] == 0)
{
prv[i][j] = pre1;
pre0 = j;
}
else
{
prv[i][j] = pre0;
pre1 = j;
}
}
// The columns.
for(int i=1; i<=n; i++)
{
tp = 0;
for(int j=1; j<=n; j++)
if(mp[j][i] == 1)
tp = j;
else
{
rec[i][j] = find_rect(tp+1, i, j);
rec[i][j].x = i, rec[i][j].y = j;
rec[i][j].getHash();
if(rec[i][j].exist())
{
ord[++cnt] = rec[i][j];
// hash_mp[rec[i][j].hsh] = true;
ord[cnt].getHash();
}
}
}
// find_rect(1, 2, 4).print();
// for(int i=1; i<=n; i++)
// for(int j=1; j<=n; j++)
// rec[i][j].print();
int tot = 0;
// rec[4][3].print();
// rec[3][3].print();
// find_rect(1, 3, 3).print();
// assert(n != 2000 || pre[n][n] <= 1);
assert(cnt > Maxn * Maxn);
sort(ord+1, ord+cnt+1, cmp);
for(int i=1; i<=cnt; i++)
{
// ord[i].print();
dp[ord[i].hsh] = max(dp[ord[i].hsh], ord[i].find_area());
if(ord[i].u != 1)
{
if(ord[i].x != ord[i].l && mp[ord[i].u-1][ord[i].x-1] == 0)
{
int ed = ord[i].x-1;
int bg = prv[ord[i].u-1][ed] + 1;
if(bg < ord[i].l) bg = ord[i].l;
Rectangle nw = find_up_rect(bg, ed, ord[i].d);
nw.getHash();
dp[nw.hsh] = max(dp[nw.hsh], dp[ord[i].hsh] + nw.find_area() - merge(ord[i], nw).find_area());
}
if(ord[i].x != ord[i].r && mp[ord[i].u-1][ord[i].x+1] == 0)
{
int bg = ord[i].x+1;
int ed = nxt[ord[i].u-1][bg] - 1;
if(ed > ord[i].r) ed = ord[i].r;
Rectangle nw = find_up_rect(bg, ed, ord[i].d);
nw.getHash();
dp[nw.hsh] = max(dp[nw.hsh], dp[ord[i].hsh] + nw.find_area() - merge(ord[i], nw).find_area());
}
}
if(ord[i].d != n && mp[ord[i].d+1][ord[i].x] == 0)
{
Rectangle nw = rec[ord[i].x][ord[i].d+1];
nw.getHash();
dp[nw.hsh] = max(dp[nw.hsh], dp[ord[i].hsh] + nw.find_area() - merge(ord[i], nw).find_area());
}
ans = max(ans, dp[ord[i].hsh]);
}
// for(int i=1; i<=cnt; i++)
// ord[i].print(dp[ord[i].hsh]);
return ans;
}
// int N;
// vector<int> ept;
// vector<vector<int>> F;
// int main()
// {
// freopen("read.in", "r", stdin);
// scanf("%d", &N);
// for(int i=0; i<N; i++)
// {
// F.push_back(ept);
// for(int j=0; j<N; j++)
// {
// int x;
// scanf("%d", &x);
// F[i].push_back(x);
// }
// }
// printf("%d\n", biggest_stadium(N, F));
// return 0;
// }
详细
Subtask #1:
score: 0
Runtime Error
Test #1:
score: 0
Runtime Error
input:
R0R7sb2atQWJ6SAWOjw4ZG7Gwgo5zl9L 1 0
output:
result:
Subtask #2:
score: 0
Runtime Error
Test #10:
score: 0
Runtime Error
input:
R0R7sb2atQWJ6SAWOjw4ZG7Gwgo5zl9L 3 0 0 0 0 1 0 0 1 1
output:
result:
Subtask #3:
score: 0
Skipped
Dependency #2:
0%
Subtask #4:
score: 0
Skipped
Dependency #3:
0%
Subtask #5:
score: 0
Skipped
Dependency #4:
0%
Subtask #6:
score: 0
Skipped
Dependency #1:
0%