【题目链接】

点击打开链接

【算法】

建C棵线段树即可,注意要用前缀和优化

【代码】

这是标程

#include <bits/stdc++.h>
using namespace std; const int MAXR = , MAXC = , MAXN = * MAXR + ; int R, C, Q;
int am0[MAXC][MAXR];
char grid[MAXR][MAXC]; bool mark[MAXN];
int am[MAXN][MAXC];
int change[MAXN][MAXC]; inline void split(int at, int l, int r)
{
mark[at] = false;
for (int i = ; i <= C; ++i)
if (change[at][i] < )
{
int got = am0[i][r] - am0[i][l];
if (change[at][i] == )
got = r - l - got;
am[at][i] = got;
}
if (l + != r)
{
mark[at * + ] = true;
mark[at * + ] = true;
for (int i = ; i <= C; ++i)
if (change[at][i] < )
{
change[at * + ][i] = change[at][i];
change[at * + ][i] = change[at][i];
change[at][i] = ;
}
}
} void update(int at, int l, int r, int nl, int nr, int cols[])
{
if (mark[at])
split(at, l, r);
if (l == nl && r == nr)
{
mark[at] = true;
for (int i = ; i <= C; ++i)
if (cols[i] < )
change[at][i] = cols[i];
split(at, l, r);
return;
}
int m = (l + r) / ;
if (nr <= m)
update(at * + , l, m, nl, nr, cols);
else if (m <= nl)
update(at * + , m, r, nl, nr, cols);
else
{
update(at * + , l, m, nl, m, cols);
update(at * + , m, r, m, nr, cols);
}
if (mark[at * + ])
split(at * + , l, m);
if (mark[at * + ])
split(at * + , m, r);
for (int i = ; i <= C; ++i) // join
am[at][i] = am[at * + ][i] + am[at * + ][i];
} void read()
{
scanf("%d %d %d", &R, &C, &Q);
for (int i = ; i < R; ++i)
scanf("%s", grid[i]);
} void solve()
{
for (int i = ; i <= C; ++i)
for (int j = ; j <= R; ++j)
{
am0[i][j] = am0[i][j - ];
if (grid[j - ][i - ] == '')
++am0[i][j];
}
int cols[MAXC];
for (int i = ; i < MAXC; ++i)
cols[i] = ;
update(, , R, , R, cols);
int r1, r2, c1, c2, x;
if (mark[])
split(, , R);
for (int i = ; i < Q; ++i)
{
scanf("%d %d %d %d %d", &r1, &r2, &c1, &c2, &x);
for (int j = ; j <= C; ++j)
if (j >= c1 && j <= c2)
cols[j] = x;
else
cols[j] = ;
update(, , R, r1 - , r2, cols);
if (mark[])
split(, , R);
int ans = ;
for (int i = ; i <= C; ++i)
ans += am[][i];
printf("%d\n", ans);
}
} int main()
{
read();
solve();
return ;
}

这是我的程序

#include<bits/stdc++.h>
using namespace std;
#define MAXR 50000
#define MAXC 15
#define MAXQ 1000 struct SegmentTree {
int l,r,opt,sum;
} tree[MAXC+][MAXR*+]; int i,j,R,C,Q,R1,R2,C1,C2,X,ans;
char ch;
int mat[MAXR+][MAXC+],sum[MAXR+][MAXC+]; template <typename T> inline void read(T &x) {
int f = ; x = ;
char c = getchar();
for (; !isdigit(c); c = getchar()) { if (c == '-') f = -f; }
for (; isdigit(c); c = getchar()) x = x * + c - '';
x *= f;
} template <typename T> inline void write(T x) {
if (x < ) { putchar('-'); x = -x; }
if (x > ) write(x/);
putchar(x%+'');
} template <typename T> inline void writeln(T x) {
write(x);
puts("");
} inline void build(int pos,int index,int l,int r) {
int mid;
tree[pos][index].l = l; tree[pos][index].r = r;
tree[pos][index].sum = r - l + - sum[r][pos] + sum[l-][pos];
tree[pos][index].opt = ;
if (l == r) return;
mid = (l + r) >> ;
build(pos,index*,l,mid); build(pos,index*+,mid+,r);
} inline void pushdown(int pos,int index) {
int l = tree[pos][index].l,
r = tree[pos][index].r;
if (l == r) return;
tree[pos][index*].opt = tree[pos][index].opt;
tree[pos][index*+].opt = tree[pos][index].opt;
l = tree[pos][index*].l,
r = tree[pos][index*].r;
if (!tree[pos][index].opt) tree[pos][index*].sum = r - l + - sum[r][pos] + sum[l-][pos];
else tree[pos][index*].sum = sum[r][pos] - sum[l-][pos];
l = tree[pos][index*+].l,
r = tree[pos][index*+].r;
if (!tree[pos][index].opt) tree[pos][index*+].sum = r - l + - sum[r][pos] + sum[l-][pos];
else tree[pos][index*+].sum = sum[r][pos] - sum[l-][pos];
} inline void pushup(int pos,int index) {
tree[pos][index].sum = tree[pos][index*].sum + tree[pos][index*+].sum;
if ((tree[pos][index*].opt == -) || (tree[pos][index*+].opt == -)) {
tree[pos][index].opt = -;
return;
}
if (tree[pos][index*].opt != tree[pos][index*+].opt) {
tree[pos][index].opt = -;
return;
}
tree[pos][index].opt = tree[pos][index*].opt;
} inline void modify(int pos,int index,int l,int r,int val) {
int mid;
if (tree[pos][index].opt != -) pushdown(pos,index);
if ((tree[pos][index].l == l) && (tree[pos][index].r == r)) {
tree[pos][index].opt = val;
if (!val) tree[pos][index].sum = r - l + - sum[r][pos] + sum[l-][pos];
else tree[pos][index].sum = sum[r][pos] - sum[l-][pos];
} else {
mid = (tree[pos][index].l + tree[pos][index].r) >> ;
if (mid >= r) modify(pos,index*,l,r,val);
else if (mid + <= l) modify(pos,index*+,l,r,val);
else {
modify(pos,index*,l,mid,val);
modify(pos,index*+,mid+,r,val);
}
pushup(pos,index);
}
} int main() { read(R); read(C); read(Q);
for (i = ; i <= R; i++) {
for (j = ; j <= C; j++) {
ch = getchar();
mat[i][j] = ch - '';
}
getchar();
} for (i = ; i <= C; i++) {
for (j = ; j <= R; j++) {
sum[j][i] = sum[j-][i] + mat[j][i];
}
} for (i = ; i <= C; i++) build(i,,,R); while (Q--) {
ans = ;
read(R1); read(R2); read(C1); read(C2); read(X);
for (i = C1; i <= C2; i++) modify(i,,R1,R2,X);
for (i = ; i <= C; i++) ans += tree[i][].sum;
writeln(ans);
} return ; }

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