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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
#213863#2406. Thief MastersSTASISZHY100787ms32264kbC++113.3kb2024-11-13 22:40:042024-11-13 23:10:53

answer

// Problem: C. Thief Masters
// Contest: undefined - NOIP2024训练赛 04
// URL: http://www.noi.ac/contest/1156/problem/2406
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
// 
// Powered by CP Editor (https://cpeditor.org)

#include <bits/stdc++.h>

using namespace std;

// #define int long long
// #define x first
// #define y second
#define File(a) freopen(a".in", "r", stdin), freopen(a".out", "w", stdout)

inline void debug() { cerr << '\n'; }
template<typename Type, typename... Other>
inline void debug(const Type& x, const Other&... y) { cerr << x << ' '; debug(y...); }
#define DEBUG(a...) cerr << "[" << #a << "] = ", debug(a);

typedef long long LL;
typedef pair<int, int> PII;

const int N = 2010;
const int INF = 0x3f3f3f3f;

template<typename Type>
inline void read(Type &res)
{
    res = 0;
    int ch = getchar(), flag = 0;
    while (!isdigit(ch)) flag |= ch == '-', ch = getchar();
    while (isdigit(ch)) res = (res << 3) + (res << 1) + (ch ^ 48), ch = getchar();
    res = flag ? -res : res;
}
template<typename Type, typename... Other>
inline void read(Type &res, Other&... y) { read(res), read(y...); }

int n, m, r, c;
int a[N][N], f[N][N], f2[N][N], ans[N][N];
    // f[i][j] = \max { f[i][j], f[i + 1][j] ... f[i + r - 1][j] }
    // ans[i][j] = \max { ans[i][j], ans[i][j + 1], ans[i][j + 2] ... ans[i][j + r - 1]; }
int que[N], hh = 0, tt = -1;
int que2[N], hh2 = 0, tt2 = -1;

signed main()
{
    read(n, m, r); 
    for (int i = 1; i <= n; i ++)
        for (int j = 1; j <= m; j ++) read(a[i][j]);
    
    for (int j = 1; j <= m; j ++)
    {
        hh = 0, tt = -1;
        for (int i = 1; i <= n; i ++)
        {
            while (hh <= tt && i - que[hh] >= r) hh ++;
            while (hh <= tt && a[que[tt]][j] <= a[i][j]) tt --;
            que[++ tt] = i;
            if (i >= r) f[i - r + 1][j] = a[que[hh]][j];
        }
    }
    for (int j = 1; j <= m; j ++)
    {
        hh2 = 0, tt2 = -1;
        for (int i = 1; i <= n; i ++)
        {
            while (hh2 <= tt2 && i - que2[hh2] >= r) hh2 ++;
            while (hh2 <= tt2 && a[que2[tt2]][j] >= a[i][j]) tt2 --;
            que2[++ tt2] = i;
            if (i >= r) f2[i - r + 1][j] = a[que2[hh2]][j];
        }
    }
    for (int i = 1; i <= n; i ++)
    {
        hh = 0, tt = -1;
        for (int j = 1; j <= m; j ++)
        {
            while (hh <= tt && j - que[hh] >= r) hh ++;
            while (hh <= tt && f[i][que[tt]] <= f[i][j]) tt --;
            que[++ tt] = j;
            if (j >= r) ans[i][j - r + 1] = f[i][que[hh]];
        }
    }
	 for (int i = 1; i <= n; i ++)
    {
        hh2 = 0, tt2 = -1;
        for (int j = 1; j <= m; j ++)
        {
            while (hh2 <= tt2 && j - que2[hh2] >= r) hh2 ++;
            while (hh2 <= tt2 && f2[i][que2[tt2]] >= f2[i][j]) tt2 --;
            que2[++ tt2] = j;
            if (j >= r) ans[i][j - r + 1] = abs(ans[i][j - r + 1] - f2[i][que2[hh2]]);
        }
    }
    int res = INF;
    for (int i = 1; i <= n - r + 1; i ++)
        for (int j = 1; j <= m - r + 1; j ++) res = min(res, ans[i][j]);
    // for(int i = 1; i <= n - r + 1; i ++)
    // {
    	// for(int j = 1; j <= m - r + 1; j ++) cout << ans[i][j] << ' ';
    	// cout << '\n';
    // }
    cout << res << '\n';
    return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 133ms
memory: 30692kb

input:

1000 1000 100
804544523 340648618 718292412 235345736 704741136 942776831 741228920 463473302 677289...

output:

998893495

result:

ok single line: '998893495'

Test #2:

score: 10
Accepted
time: 0ms
memory: 1248kb

input:

5 4 2
1 2 5 6
0 17 16 0
16 17 0 1
2 10 2 1
1 2 3 2

output:

2

result:

ok single line: '2'

Test #3:

score: 10
Accepted
time: 2ms
memory: 2848kb

input:

100 100 10
2 100001 200001 300001 400001 500001 600001 700001 800001 900001 1000001 1100001 1200001 ...

output:

908999

result:

ok single line: '908999'

Test #4:

score: 10
Accepted
time: 106ms
memory: 32264kb

input:

1000 1000 20
1 100001 200001 300001 400001 500001 600001 700001 800001 900001 1000001 1100001 120000...

output:

1901899

result:

ok single line: '1901899'

Test #5:

score: 10
Accepted
time: 38ms
memory: 12404kb

input:

500 500 50
79289095 232165705 955620938 481434262 465576217 112035388 50089892 459799006 181906335 3...

output:

995944328

result:

ok single line: '995944328'

Test #6:

score: 10
Accepted
time: 61ms
memory: 15508kb

input:

500 1000 80
499163842 331022295 940054497 684192083 248823911 842132608 629298697 398526298 98438040...

output:

998299092

result:

ok single line: '998299092'

Test #7:

score: 10
Accepted
time: 91ms
memory: 31080kb

input:

1000 1000 80
102 134 429 251 299 109 264 669 727 296 112 550 270 270 544 660 131 546 968 219 113 678...

output:

998

result:

ok single line: '998'

Test #8:

score: 10
Accepted
time: 57ms
memory: 11708kb

input:

500 500 100
65532583 920409544 753795976 989349545 818384831 778207112 425141881 853270293 542112588...

output:

999172505

result:

ok single line: '999172505'

Test #9:

score: 10
Accepted
time: 99ms
memory: 15152kb

input:

500 1000 100
456896744 779471086 578349238 52507342 192194992 156396237 475084995 775765435 96617474...

output:

998801667

result:

ok single line: '998801667'

Test #10:

score: 10
Accepted
time: 200ms
memory: 30688kb

input:

1000 1000 100
629053044 957239666 456746076 940194386 201529807 592062148 244394389 825620014 223976...

output:

998862873

result:

ok single line: '998862873'

Extra Test:

score: 0
Extra Test Passed