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test/mytest/seg2d.test.cpp
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- Last update: 2023-11-09 01:44:55+09:00
- Problem: https://judge.yosupo.jp/problem/aplusb
Depends on
alg/monoid/min.hpp
Code
#define PROBLEM "https://judge.yosupo.jp/problem/aplusb"
#include "my_template.hpp"
#include "random/base.hpp"
#include "ds/segtree/segtree_2d.hpp"
#include "alg/monoid/min.hpp"
void test() {
FOR(N, 100) {
FOR(Q, 100) {
vc<int> X(N), Y(N), val(N);
FOR(i, N) X[i] = RNG(0, 5), Y[i] = RNG(0, 5), val[i] = RNG(0, 100);
SegTree_2D<Monoid_Min<int>, int, true> seg(X, Y, val);
FOR(Q) {
int t = RNG(0, 3);
if (N == 0) t = 2;
if (t == 0) {
int i = RNG(0, N);
val[i] = RNG(0, 100);
seg.set(i, val[i]);
}
if (t == 1) {
int i = RNG(0, N);
int x = RNG(0, 100);
chmin(val[i], x);
seg.multiply(i, val[i]);
}
if (t == 2) {
int a = RNG(0, 5), b = RNG(0, 5), c = RNG(0, 5), d = RNG(0, 5);
if (a > b) swap(a, b);
if (c > d) swap(c, d);
int ans = infty<int>;
FOR(i, N) {
if (a <= X[i] && X[i] < b && c <= Y[i] && Y[i] < d)
chmin(ans, val[i]);
}
assert(ans == seg.prod(a, b, c, d));
}
}
}
}
}
void solve() {
int a, b;
cin >> a >> b;
cout << a + b << "\n";
}
signed main() {
test();
solve();
return 0;
}#line 1 "test/mytest/seg2d.test.cpp"
#define PROBLEM "https://judge.yosupo.jp/problem/aplusb"
#line 1 "my_template.hpp"
#if defined(LOCAL)
#include <my_template_compiled.hpp>
#else
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
using u128 = unsigned __int128;
using f128 = __float128;
template <class T>
constexpr T infty = 0;
template <>
constexpr int infty<int> = 1'000'000'000;
template <>
constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2;
template <>
constexpr u32 infty<u32> = infty<int>;
template <>
constexpr u64 infty<u64> = infty<ll>;
template <>
constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>;
template <>
constexpr double infty<double> = infty<ll>;
template <>
constexpr long double infty<long double> = infty<ll>;
using pi = pair<ll, ll>;
using vi = vector<ll>;
template <class T>
using vc = vector<T>;
template <class T>
using vvc = vector<vc<T>>;
template <class T>
using vvvc = vector<vvc<T>>;
template <class T>
using vvvvc = vector<vvvc<T>>;
template <class T>
using vvvvvc = vector<vvvvc<T>>;
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define vv(type, name, h, ...) \
vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define vvv(type, name, h, w, ...) \
vector<vector<vector<type>>> name( \
h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
vector<vector<vector<vector<type>>>> name( \
a, vector<vector<vector<type>>>( \
b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
// https://trap.jp/post/1224/
#define FOR1(a) for (ll _ = 0; _ < ll(a); ++_)
#define FOR2(i, a) for (ll i = 0; i < ll(a); ++i)
#define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i)
#define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c))
#define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i)
#define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i)
#define overload4(a, b, c, d, e, ...) e
#define overload3(a, b, c, d, ...) d
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__)
#define FOR_subset(t, s) \
for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s)))
#define all(x) x.begin(), x.end()
#define len(x) ll(x.size())
#define elif else if
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fi first
#define se second
#define stoi stoll
int popcnt(int x) { return __builtin_popcount(x); }
int popcnt(u32 x) { return __builtin_popcount(x); }
int popcnt(ll x) { return __builtin_popcountll(x); }
int popcnt(u64 x) { return __builtin_popcountll(x); }
int popcnt_mod_2(int x) { return __builtin_parity(x); }
int popcnt_mod_2(u32 x) { return __builtin_parity(x); }
int popcnt_mod_2(ll x) { return __builtin_parityll(x); }
int popcnt_mod_2(u64 x) { return __builtin_parityll(x); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2)
int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }
int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }
// (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2)
int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); }
int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }
template <typename T>
T floor(T a, T b) {
return a / b - (a % b && (a ^ b) < 0);
}
template <typename T>
T ceil(T x, T y) {
return floor(x + y - 1, y);
}
template <typename T>
T bmod(T x, T y) {
return x - y * floor(x, y);
}
template <typename T>
pair<T, T> divmod(T x, T y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sm = 0;
for (auto &&a: A) sm += a;
return sm;
}
#define MIN(v) *min_element(all(v))
#define MAX(v) *max_element(all(v))
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) \
sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
template <typename T>
T POP(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T POP(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(pqg<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T POP(vc<T> &que) {
T a = que.back();
que.pop_back();
return a;
}
template <typename F>
ll binary_search(F check, ll ok, ll ng, bool check_ok = true) {
if (check_ok) assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
(check(x) ? ok : ng) = x;
}
return ok;
}
template <typename F>
double binary_search_real(F check, double ok, double ng, int iter = 100) {
FOR(iter) {
double x = (ok + ng) / 2;
(check(x) ? ok : ng) = x;
}
return (ok + ng) / 2;
}
template <class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
// ? は -1
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); }
return A;
}
template <typename T, typename U>
vector<T> cumsum(vector<U> &A, int off = 1) {
int N = A.size();
vector<T> B(N + 1);
FOR(i, N) { B[i + 1] = B[i] + A[i]; }
if (off == 0) B.erase(B.begin());
return B;
}
// stable sort
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(len(A));
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
vc<T> B(len(I));
FOR(i, len(I)) B[i] = A[I[i]];
return B;
}
#endif
#line 3 "test/mytest/seg2d.test.cpp"
#line 2 "random/base.hpp"
u64 RNG_64() {
static uint64_t x_
= uint64_t(chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count())
* 10150724397891781847ULL;
x_ ^= x_ << 7;
return x_ ^= x_ >> 9;
}
u64 RNG(u64 lim) { return RNG_64() % lim; }
ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
#line 1 "ds/segtree/segtree_2d.hpp"
// 点の重複 OK
template <typename Monoid, typename XY, bool SMALL_X = false>
struct SegTree_2D {
using MX = Monoid;
using S = typename MX::value_type;
static_assert(MX::commute);
int N;
// X to idx
vc<XY> keyX;
int minX;
// top node の点列
vc<XY> all_Y;
vc<int> pos;
// segtree data
int NX, log, size;
vc<int> indptr;
vc<S> dat;
// fractional cascading
vc<int> to_left;
SegTree_2D(vc<XY>& X, vc<XY>& Y)
: SegTree_2D(len(X), [&](int i) -> tuple<XY, XY, S> {
return {X[i], Y[i], MX::unit()};
}) {}
SegTree_2D(vc<XY>& X, vc<XY>& Y, vc<S>& vals)
: SegTree_2D(len(X), [&](int i) -> tuple<XY, XY, S> {
return {X[i], Y[i], vals[i]};
}) {}
// f(i) = (x,y,val)
template <typename F>
SegTree_2D(int N, F f) {
vc<XY> X(N), Y(N);
vc<S> wt(N);
FOR(i, N) {
auto [a, b, c] = f(i);
X[i] = a, Y[i] = b, wt[i] = c;
}
if (!SMALL_X) {
keyX = X;
UNIQUE(keyX);
NX = len(keyX);
} else {
minX = (X.empty() ? 0 : MIN(X));
NX = (X.empty() ? 1 : MAX(X) - minX + 1);
}
log = 0;
while ((1 << log) < NX) ++log;
size = (1 << log);
vc<int> IX(N);
FOR(i, N) IX[i] = xtoi(X[i]);
indptr.assign(2 * size, 0);
for (auto i: IX) {
i += size;
while (i) indptr[i]++, i /= 2;
}
indptr = cumsum<int>(indptr);
dat.assign(2 * indptr.back(), MX::unit());
to_left.assign(indptr[size], 0);
vc<int> ptr = indptr;
vc<int> I = argsort(Y);
pos.resize(N);
FOR(i, N) pos[I[i]] = i;
for (auto raw_idx: I) {
int i = IX[raw_idx] + size;
int j = -1;
while (i) {
int p = ptr[i];
ptr[i]++;
dat[indptr[i + 1] + p] = wt[raw_idx];
if (j != -1) { to_left[p] = (j % 2 == 0); }
j = i, i /= 2;
}
}
to_left = cumsum<int>(to_left);
FOR(i, 2 * size) {
int off = 2 * indptr[i], n = indptr[i + 1] - indptr[i];
FOR_R(j, 1, n) {
dat[off + j] = MX::op(dat[off + 2 * j + 0], dat[off + 2 * j + 1]);
}
}
all_Y = Y;
sort(all(all_Y));
}
// 最初に与えた点群の index
void multiply(int raw_idx, S val) {
int i = 1, p = pos[raw_idx];
while (1) {
multiply_i(i, p - indptr[i], val);
if (i >= size) break;
int lc = to_left[p] - to_left[indptr[i]];
int rc = (p - indptr[i]) - lc;
if (to_left[p + 1] - to_left[p]) {
p = indptr[2 * i + 0] + lc;
i = 2 * i + 0;
} else {
p = indptr[2 * i + 1] + rc;
i = 2 * i + 1;
}
}
}
// 最初に与えた点群の index
void set(int raw_idx, S val) {
int i = 1, p = pos[raw_idx];
while (1) {
set_i(i, p - indptr[i], val);
if (i >= size) break;
int lc = to_left[p] - to_left[indptr[i]];
int rc = (p - indptr[i]) - lc;
if (to_left[p + 1] - to_left[p]) {
p = indptr[2 * i + 0] + lc;
i = 2 * i + 0;
} else {
p = indptr[2 * i + 1] + rc;
i = 2 * i + 1;
}
}
}
S prod(XY lx, XY rx, XY ly, XY ry) {
int L = xtoi(lx), R = xtoi(rx);
S res = MX::unit();
auto dfs = [&](auto& dfs, int i, int l, int r, int a, int b) -> void {
if (a == b || R <= l || r <= L) return;
if (L <= l && r <= R) {
res = MX::op(res, prod_i(i, a, b));
return;
}
int la = to_left[indptr[i] + a] - to_left[indptr[i]];
int ra = a - la;
int lb = to_left[indptr[i] + b] - to_left[indptr[i]];
int rb = b - lb;
int m = (l + r) / 2;
dfs(dfs, 2 * i + 0, l, m, la, lb);
dfs(dfs, 2 * i + 1, m, r, ra, rb);
};
dfs(dfs, 1, 0, size, LB(all_Y, ly), LB(all_Y, ry));
return res;
}
// 矩形内の全点を数える, NlogN
int count(XY lx, XY rx, XY ly, XY ry) {
int L = xtoi(lx), R = xtoi(rx);
int res = 0;
auto dfs = [&](auto& dfs, int i, int l, int r, int a, int b) -> void {
if (a == b || R <= l || r <= L) return;
if (L <= l && r <= R) {
res += b - a;
return;
}
int la = to_left[indptr[i] + a] - to_left[indptr[i]];
int ra = a - la;
int lb = to_left[indptr[i] + b] - to_left[indptr[i]];
int rb = b - lb;
int m = (l + r) / 2;
dfs(dfs, 2 * i + 0, l, m, la, lb);
dfs(dfs, 2 * i + 1, m, r, ra, rb);
};
dfs(dfs, 1, 0, size, LB(all_Y, ly), LB(all_Y, ry));
return res;
}
private:
inline int xtoi(XY x) {
if constexpr (SMALL_X) return clamp<XY>(x - minX, 0, NX);
return LB(keyX, x);
}
S prod_i(int i, int a, int b) {
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
int off = 2 * LID;
int L = n + a, R = n + b;
S val = MX::unit();
while (L < R) {
if (L & 1) val = MX::op(val, dat[off + (L++)]);
if (R & 1) val = MX::op(dat[off + (--R)], val);
L >>= 1, R >>= 1;
}
return val;
}
void multiply_i(int i, int j, S val) {
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
int off = 2 * LID;
j += n;
while (j) {
dat[off + j] = MX::op(dat[off + j], val);
j >>= 1;
}
}
void set_i(int i, int j, S val) {
int LID = indptr[i], n = indptr[i + 1] - indptr[i];
int off = 2 * LID;
j += n;
dat[off + j] = val;
while (j > 1) {
j /= 2;
dat[off + j] = MX::op(dat[off + 2 * j + 0], dat[off + 2 * j + 1]);
}
}
};
#line 2 "alg/monoid/min.hpp"
template <typename E>
struct Monoid_Min {
using X = E;
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return min(x, y); }
static constexpr X unit() { return infty<E>; }
static constexpr bool commute = true;
};
#line 7 "test/mytest/seg2d.test.cpp"
void test() {
FOR(N, 100) {
FOR(Q, 100) {
vc<int> X(N), Y(N), val(N);
FOR(i, N) X[i] = RNG(0, 5), Y[i] = RNG(0, 5), val[i] = RNG(0, 100);
SegTree_2D<Monoid_Min<int>, int, true> seg(X, Y, val);
FOR(Q) {
int t = RNG(0, 3);
if (N == 0) t = 2;
if (t == 0) {
int i = RNG(0, N);
val[i] = RNG(0, 100);
seg.set(i, val[i]);
}
if (t == 1) {
int i = RNG(0, N);
int x = RNG(0, 100);
chmin(val[i], x);
seg.multiply(i, val[i]);
}
if (t == 2) {
int a = RNG(0, 5), b = RNG(0, 5), c = RNG(0, 5), d = RNG(0, 5);
if (a > b) swap(a, b);
if (c > d) swap(c, d);
int ans = infty<int>;
FOR(i, N) {
if (a <= X[i] && X[i] < b && c <= Y[i] && Y[i] < d)
chmin(ans, val[i]);
}
assert(ans == seg.prod(a, b, c, d));
}
}
}
}
}
void solve() {
int a, b;
cin >> a >> b;
cout << a + b << "\n";
}
signed main() {
test();
solve();
return 0;
}