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- namespace atcoder
- {
- template <class S, S (*op)(S, S), S (*e)(), class F, S (*mapping)(F, S), F (*composition)(F, F), F (*id)()>
- struct lazy_segtree {
- int ceil_pow2(int n)
- {
- int x = 0;
- while ((1U << x) < (unsigned int) (n))
- x++;
- return x;
- }
- public:
- lazy_segtree() : lazy_segtree(0) {}
- explicit lazy_segtree(int n) : lazy_segtree(std::vector<S>(n, e())) {}
- explicit lazy_segtree(const std::vector<S> &v) : _n(int(v.size()))
- {
- log = ceil_pow2(_n);
- size = 1 << log;
- d = std::vector<S>(2 * size, e());
- lz = std::vector<F>(size, id());
- for (int i = 0; i < _n; i++)
- d[size + i] = v[i];
- for (int i = size - 1; i >= 1; i--) {
- update(i);
- }
- }
- void set(int p, S x)
- {
- assert(0 <= p && p < _n);
- p += size;
- for (int i = log; i >= 1; i--)
- push(p >> i);
- d[p] = x;
- for (int i = 1; i <= log; i++)
- update(p >> i);
- }
- S get(int p)
- {
- assert(0 <= p && p < _n);
- p += size;
- for (int i = log; i >= 1; i--)
- push(p >> i);
- return d[p];
- }
- S prod(int l, int r)
- {
- assert(0 <= l && l <= r && r <= _n);
- if (l == r)
- return e();
- l += size;
- r += size;
- for (int i = log; i >= 1; i--) {
- if (((l >> i) << i) != l)
- push(l >> i);
- if (((r >> i) << i) != r)
- push((r - 1) >> i);
- }
- S sml = e(), smr = e();
- while (l < r) {
- if (l & 1)
- sml = op(sml, d[l++]);
- if (r & 1)
- smr = op(d[--r], smr);
- l >>= 1;
- r >>= 1;
- }
- return op(sml, smr);
- }
- S all_prod() { return d[1]; }
- void apply(int p, F f)
- {
- assert(0 <= p && p < _n);
- p += size;
- for (int i = log; i >= 1; i--)
- push(p >> i);
- d[p] = mapping(f, d[p]);
- for (int i = 1; i <= log; i++)
- update(p >> i);
- }
- void apply(int l, int r, F f)
- {
- assert(0 <= l && l <= r && r <= _n);
- if (l == r)
- return;
- l += size;
- r += size;
- for (int i = log; i >= 1; i--) {
- if (((l >> i) << i) != l)
- push(l >> i);
- if (((r >> i) << i) != r)
- push((r - 1) >> i);
- }
- {
- int l2 = l, r2 = r;
- while (l < r) {
- if (l & 1)
- all_apply(l++, f);
- if (r & 1)
- all_apply(--r, f);
- l >>= 1;
- r >>= 1;
- }
- l = l2;
- r = r2;
- }
- for (int i = 1; i <= log; i++) {
- if (((l >> i) << i) != l)
- update(l >> i);
- if (((r >> i) << i) != r)
- update((r - 1) >> i);
- }
- }
- template <bool (*g)(S)> int max_right(int l)
- {
- return max_right(l, [](S x) { return g(x); });
- }
- template <class G> int max_right(int l, G g)
- {
- assert(0 <= l && l <= _n);
- assert(g(e()));
- if (l == _n)
- return _n;
- l += size;
- for (int i = log; i >= 1; i--)
- push(l >> i);
- S sm = e();
- do {
- while (l % 2 == 0)
- l >>= 1;
- if (!g(op(sm, d[l]))) {
- while (l < size) {
- push(l);
- l = (2 * l);
- if (g(op(sm, d[l]))) {
- sm = op(sm, d[l]);
- l++;
- }
- }
- return l - size;
- }
- sm = op(sm, d[l]);
- l++;
- } while ((l & -l) != l);
- return _n;
- }
- template <bool (*g)(S)> int min_left(int r)
- {
- return min_left(r, [](S x) { return g(x); });
- }
- template <class G> int min_left(int r, G g)
- {
- assert(0 <= r && r <= _n);
- assert(g(e()));
- if (r == 0)
- return 0;
- r += size;
- for (int i = log; i >= 1; i--)
- push((r - 1) >> i);
- S sm = e();
- do {
- r--;
- while (r > 1 && (r % 2))
- r >>= 1;
- if (!g(op(d[r], sm))) {
- while (r < size) {
- push(r);
- r = (2 * r + 1);
- if (g(op(d[r], sm))) {
- sm = op(d[r], sm);
- r--;
- }
- }
- return r + 1 - size;
- }
- sm = op(d[r], sm);
- } while ((r & -r) != r);
- return 0;
- }
- private:
- int _n, size, log;
- std::vector<S> d;
- std::vector<F> lz;
- void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
- void all_apply(int k, F f)
- {
- d[k] = mapping(f, d[k]);
- if (k < size)
- lz[k] = composition(f, lz[k]);
- }
- void push(int k)
- {
- all_apply(2 * k, lz[k]);
- all_apply(2 * k + 1, lz[k]);
- lz[k] = id();
- }
- };
- } // namespace atcoder
- using atcoder::lazy_segtree;
- using ll = long long;
- struct S {
- ll sum, n2sum, one[2];
- };
- struct F;
- F id();
- struct F {
- ll op, fcnt, f0, f1;
- // op 0 for element operation
- // op 1 for n1 range flip
- // op 2 for n2 range add
- // op 3 for compound operators
- S map(S r) {
- switch(op) {
- case 1:
- swap(r.one[0], r.one[1]);
- return r;
- case 2:
- r.sum += r.one[1] * f1;
- return r;
- case 3:
- r.sum += r.one[0] * f0 + r.one[1] * f1;
- if (fcnt % 2) swap(r.one[0], r.one[1]);
- return r;
- }
- return r;
- }
- F compose(F f) {
- if (this->op == 0) return f;
- if (f.op == 0) return *this;
- if (f.op == 1 && this->op == 1) return id();
- if (f.op == 2 && this->op == 2) {
- this->f1 += f.f1;
- return *this;
- }
- if (this->op == 1 && f.op == 2) return {3, 1, f.f1, f.f0};
- if (this->op == 2 && f.op == 1) return {3, 1, f0, f1};
- F ret;
- ret.op = 3;
- ret.fcnt = (this->fcnt + f.fcnt) % 2;
- ret.f0 = this->f0 + (fcnt % 2 ? f.f1 : f.f0);
- ret.f1 = this->f1 + (fcnt % 2 ? f.f0 : f.f1);
- return ret;
- }
- };
- S e() { return {0, 0, {0, 0}}; }
- S op(S a, S b) { return {a.sum + b.sum, a.n2sum + b.n2sum, {a.one[0] + b.one[0], a.one[1] + b.one[1]}}; }
- S mapping(F f, S r) { return f.map(r); };
- F id() { return {0, 0, 0, 0}; };
- F composition(F f, F g) {
- // g then f
- return g.compose(f);
- };
- class Solution {
- public:
- vector<long long> handleQuery(vector<int>& ns1, vector<int>& ns2, vector<vector<int>>& qs) {
- int n = ns1.size();
- lazy_segtree<S, op, e, F, mapping, composition, id> seg(n);
- for (int i = 0; i < n; ++i) {
- seg.set(i, {ns2[i], ns2[i], {1 - ns1[i], ns1[i]}});
- }
- vector<ll> ret;
- for (const auto& q: qs) {
- switch (q[0]) {
- case 1:
- seg.apply(q[1], q[2] + 1, F{1, 1, 0, 0});
- break;
- case 2:
- seg.apply(0, n, F{2, 0, 0, q[1]});
- break;
- case 3:
- auto ans = seg.all_prod();
- ret.push_back(ans.sum);
- break;
- }
- }
- return ret;
- }
- };
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