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11402.cpp
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/*
data structures > segment tree > lazy propagation
difficulty: medium
date: 12/Mar/2020
hint: build a segment tree for RSQ, but keep in lazy[v] the type of pending operation to be performed in that interval of A
by: @brpapa
*/
#include <iostream>
#include <vector>
using namespace std;
#define NONE ' '
#define SET_1 'F'
#define SET_0 'E'
#define TOGGLE 'I'
vector<int> A, bin_tree;
vector<char> lazy;
int le(int v) { return (v << 1) + 1; }
int ri(int v) { return (v << 1) + 2; }
void build(int v, int l, int r) {
if (l == r) { bin_tree[v] = A[l]; return; }
int mid = (l + r) / 2;
build(le(v), l, mid + 0);
build(ri(v), mid + 1, r);
bin_tree[v] = bin_tree[le(v)] + bin_tree[ri(v)];
}
char inverse(char c) {
if (c == SET_1) return SET_0;
if (c == SET_0) return SET_1;
if (c == TOGGLE) return NONE;
if (c == NONE) return TOGGLE;
}
void propagate_lazy(int v, int l, int r) {
if (lazy[v] == NONE) return;
if (lazy[v] == SET_1) bin_tree[v] = (r-l+1) * 1; // A[l..r] = 1
if (lazy[v] == SET_0) bin_tree[v] = 0; // A[l..r] = 0
if (lazy[v] == TOGGLE) bin_tree[v] = (r-l+1) - bin_tree[v]; // inverte A[l..r]
if (l != r) {
if (lazy[v] == TOGGLE) {
lazy[le(v)] = inverse(lazy[le(v)]);
lazy[ri(v)] = inverse(lazy[ri(v)]);
}
else lazy[le(v)] = lazy[ri(v)] = lazy[v];
}
lazy[v] = NONE;
}
int range_query(int v, int l, int r, int ql, int qr) {
propagate_lazy(v, l, r);
if (ql > r || qr < l) return 0;
if (l >= ql && r <= qr) return bin_tree[v];
int mid = (l + r) / 2;
return range_query(le(v), l, mid, ql, qr) + range_query(ri(v), mid + 1, r, ql, qr);
}
void range_update(int v, int l, int r, int ul, int ur, char op) {
propagate_lazy(v, l, r);
if (ul > r || ur < l) return;
if (l >= ul && r <= ur) { lazy[v] = op; propagate_lazy(v, l, r); return; }
int mid = (l + r) / 2;
range_update(le(v), l, mid + 0, ul, ur, op);
range_update(ri(v), mid + 1, r, ul, ur, op);
bin_tree[v] = bin_tree[le(v)] + bin_tree[ri(v)];
}
int main() {
int T, t = 0; cin >> T;
while (T--) {
A.clear();
int M; cin >> M;
while (M--) {
int F; string s; cin >> F >> s;
while (F--) for (char c : s) A.push_back(c == '1'? 1:0);
}
bin_tree.assign(3 * A.size(), 0);
lazy.assign(3 * A.size(), NONE);
build(0, 0, A.size()-1);
printf("Case %d:\n", ++t);
int Q, q = 0; cin >> Q;
while (Q--) {
char c; int l, r; cin >> c >> l >> r;
if (c =='S') printf("Q%d: %d\n", ++q, range_query(0, 0, A.size()-1, l, r));
else range_update(0, 0, A.size()-1, l, r, c);
}
}
return 0;
}