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| #include <cstdio>
#include <vector>
#include <algorithm>
using namespace std;
typedef long long LL;
template <class Type>
void read(Type &x)
{
char c;
bool flag = false;
while ((c = getchar()) < '0' || c > '9')
c == '-' && (flag = true);
x = c - '0';
while ((c = getchar()) >= '0' && c <= '9')
x = (x << 3) + (x << 1) + c - '0';
flag && (x = ~x + 1);
}
template <class Type>
void write(Type x)
{
x < 0 && (putchar('-'), x = ~x + 1);
x > 9 && (write(x / 10), 0);
putchar(x % 10 + '0');
}
const int N = 2e5 + 10, dx[] = {1, -1, 0, 0}, dy[] = {0, 0, 1, -1};
int n, m, w[N];
vector <int> g[N];
namespace LCT
{
struct Node
{
int p, s[2], tag;
} tr[N];
void reverse(int x)
{
tr[x].tag ^= 1;
swap(tr[x].s[0], tr[x].s[1]);
}
void pushdown(int x)
{
if (tr[x].tag)
{
reverse(tr[x].s[0]);
reverse(tr[x].s[1]);
tr[x].tag = 0;
}
}
bool isroot(int x)
{
return tr[tr[x].p].s[0] ^ x && tr[tr[x].p].s[1] ^ x;
}
void rotate(int x)
{
int y = tr[x].p, z = tr[y].p;
int k = tr[y].s[1] == x;
!isroot(y) && (tr[z].s[tr[z].s[1] == y] = x);
tr[x].p = z;
tr[y].s[k] = tr[x].s[k ^ 1], tr[tr[x].s[k ^ 1]].p = y;
tr[x].s[k ^ 1] = y, tr[y].p = x;
}
void update(int x)
{
!isroot(x) && (update(tr[x].p), 0);
pushdown(x);
}
void splay(int x)
{
update(x);
for (; !isroot(x); rotate(x))
{
int y = tr[x].p, z = tr[y].p;
!isroot(y) && (rotate((y == tr[z].s[1]) ^ (x == tr[y].s[1]) ? x : y), 0);
}
}
void access(int x)
{
int tmp = x;
for (int y = 0; x; y = x, x = tr[x].p)
{
splay(x);
tr[x].s[1] = y;
}
splay(tmp);
}
void mkroot(int x)
{
access(x);
reverse(x);
}
int findroot(int x)
{
access(x);
for (; tr[x].s[0]; x = tr[x].s[0])
pushdown(x);
splay(x);
return x;
}
void split(int x, int y)
{
mkroot(x);
access(y);
}
bool link(int x, int y)
{
mkroot(x);
return findroot(y) ^ x ? tr[x].p = y, true : false;
}
void cut(int x, int y)
{
mkroot(x);
if (findroot(y) == x && tr[y].p == x && !tr[y].s[0])
tr[x].s[1] = tr[y].p = 0;
}
}
namespace SegmentTree
{
struct Node
{
int l, r, mn, cnt, tag;
} tr[N << 2];
void pushup (int x)
{
tr[x].mn = min(tr[x << 1].mn, tr[x << 1 | 1].mn);
tr[x].cnt = 0;
tr[x << 1].mn == tr[x].mn && (tr[x].cnt += tr[x << 1].cnt);
tr[x << 1 | 1].mn == tr[x].mn && (tr[x].cnt += tr[x << 1 | 1].cnt);
}
void add (int x, int k)
{
tr[x].mn += k, tr[x].tag += k;
}
void pushdown (int x)
{
add(x << 1, tr[x].tag), add(x << 1 | 1, tr[x].tag);
tr[x].tag = 0;
}
void build (int l = 1, int r = n * m, int x = 1)
{
tr[x].l = l, tr[x].r = r;
if (l == r)
return tr[x].mn = 0, tr[x].cnt = 1, void();
int mid = l + r >> 1;
build(l, mid, x << 1), build(mid + 1, r, x << 1 | 1);
pushup(x);
}
void modify (int l, int r, int k, int x = 1)
{
if (l > tr[x].r || tr[x].l > r)
return;
if (tr[x].l >= l && tr[x].r <= r)
return add(x, k);
pushdown(x);
modify(l, r, k, x << 1), modify(l, r, k, x << 1 | 1);
pushup(x);
}
int query (int l, int r, int x = 1)
{
if (l > tr[x].r || tr[x].l > r)
return 0;
if (tr[x].l >= l && tr[x].r <= r)
return tr[x].mn == 1 ? tr[x].cnt : 0;
pushdown(x);
return query(l, r, x << 1) + query(l, r, x << 1 | 1);
}
}
bool inside (int a, int b)
{
return a > 0 && b > 0 && a <= n && b <= m;
}
int num (int a, int b)
{
return (a - 1) * m + b;
}
int main ()
{
read(n), read(m);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
read(w[num(i, j)]);
for (int i = 1; i <= n; i++)
for (int j = 1; j <= m; j++)
for (int k = 0, p = num(i, j); k < 4; k++)
{
int nx = i + dx[k], ny = j + dy[k];
inside(nx, ny) && (g[w[p]].push_back(w[num(nx, ny)]), 0);
}
SegmentTree::build();
LL res = 0;
for (int l = 1, r = 0; l <= n * m; l++)
{
for (bool flag = true; flag && r < n * m; )
{
int cnt = 0;
for (int i : g[r + 1])
if (i < r + 1 && i >= l)
cnt++, flag &= LCT::link(i, r + 1);
if (flag)
SegmentTree::modify(++r, n * m, 1 - cnt);
else
for (int i : g[r + 1])
i < r + 1 && i >= l && (LCT::cut(i, r + 1), 0);
}
res += SegmentTree::query(l, r);
for (int i : g[l])
if (i <= r && i > l)
{
LCT::cut(l, i);
SegmentTree::modify(i, n * m, 1);
}
SegmentTree::modify(l, n * m, -1);
}
write(res);
return 0;
}
|