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#1602. [Gym102566J] The Sacred Texts
https://sjzezoj.com/submission/58863
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162
S2OJ/1602/1602.cpp
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S2OJ/1602/1602.cpp
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#include <iostream>
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#include <algorithm>
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#include <limits>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 15,
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M = 1e5 + 5;
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int n, m, q;
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int cnt, id[N][N];
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long long a[N][M], sum[N][M];
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class SegmentTree {
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private:
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struct node {
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int l, r;
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long long sum, pre, suf, max;
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node(int _l = 0, int _r = 0)
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: l(_l), r(_r), sum(0), pre(0), suf(0), max(std::numeric_limits<int>::min()) {}
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} tr[M << 2];
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void pushup(int u) {
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tr[u].sum = tr[u << 1].sum + tr[u << 1 | 1].sum;
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tr[u].pre = std::max(tr[u << 1].pre, tr[u << 1].sum + tr[u << 1 | 1].pre);
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tr[u].suf = std::max(tr[u << 1 | 1].suf, tr[u << 1].suf + tr[u << 1 | 1].sum);
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tr[u].max = std::max({tr[u << 1].max, tr[u << 1 | 1].max, tr[u << 1].suf + tr[u << 1 | 1].pre});
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}
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void build(int u, int l, int r, const int& id_l, const int& id_r) {
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tr[u] = node(l, r);
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if (l == r) {
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tr[u].sum = tr[u].pre = tr[u].suf = tr[u].max = sum[id_r][l] - sum[id_l - 1][l];
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return;
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}
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int mid = l + r >> 1;
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build(u << 1, l, mid, id_l, id_r);
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build(u << 1 | 1, mid + 1, r, id_l, id_r);
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pushup(u);
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}
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void modify(int u, int p, long long v) {
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if (tr[u].l == p && tr[u].r == p) {
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tr[u].sum = tr[u].pre = tr[u].suf = tr[u].max += v;
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return;
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}
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int mid = tr[u].l + tr[u].r >> 1;
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if (p <= mid) modify(u << 1, p, v);
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else modify(u << 1 | 1, p, v);
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pushup(u);
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}
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node query(int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) {
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return tr[u];
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}
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int mid = tr[u].l + tr[u].r >> 1;
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if (r <= mid) {
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return query(u << 1, l, r);
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}
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if (l > mid) {
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return query(u << 1 | 1, l, r);
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}
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node res;
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node left = query(u << 1, l, r);
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node right = query(u << 1 | 1, l, r);
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res.sum = left.sum + right.sum;
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res.pre = std::max(left.pre, left.sum + right.pre);
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res.suf = std::max(left.suf + right.sum, right.suf);
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res.max = std::max({left.max, right.max, left.suf + right.pre});
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return res;
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}
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public:
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void build(int l, int r, int id_l, int id_r) {
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build(1, l, r, id_l, id_r);
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}
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void modify(int p, long long v) {
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modify(1, p, v);
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}
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node query(int l, int r) {
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return query(1, l, r);
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}
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} tr[60];
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1; i <= n; i++) {
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for (int j = 1; j <= m; j++) {
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cin >> a[i][j];
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sum[i][j] = sum[i - 1][j] + a[i][j];
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}
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}
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for (int i = 1; i <= n; i++) {
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for (int j = i; j <= n; j++) {
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tr[id[i][j] = ++cnt].build(1, m, i, j);
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}
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}
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cin >> q;
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while (q--) {
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int op;
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cin >> op;
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if (op == 1) {
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int x, y, v;
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cin >> x >> y >> v;
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for (int i = 1; i <= x; i++) {
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for (int j = x; j <= n; j++) {
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tr[id[i][j]].modify(y, v - a[x][y]);
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}
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}
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a[x][y] = v;
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} else { // op == 2
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int x1, y1, x2, y2;
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long long res = std::numeric_limits<long long>::min();
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cin >> x1 >> y1 >> x2 >> y2;
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for (int i = x1; i <= x2; i++) {
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for (int j = i; j <= x2; j++) {
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res = std::max(res, tr[id[i][j]].query(y1, y2).max);
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}
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}
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cout << res << endl;
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}
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}
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return 0;
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}
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