結果
| 問題 | No.2160 みたりのDominator |
| コンテスト | |
| ユーザー |
 maspy
|
| 提出日時 | 2022-12-11 01:52:27 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 93 ms / 2,000 ms |
| コード長 | 19,128 bytes |
| コンパイル時間 | 4,133 ms |
| コンパイル使用メモリ | 264,712 KB |
| 最終ジャッジ日時 | 2025-02-09 09:31:07 |
|
ジャッジサーバーID （参考情報） |
judge1 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 93 |
ソースコード
#line 1 "/home/maspy/compro/library/my_template.hpp"
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pi = pair<ll, ll>;
using vi = vector<ll>;
using u32 = unsigned int;
using u64 = unsigned long long;
using i128 = __int128;
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 vec(type, name, ...) vector<type> name(__VA_ARGS__)
#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 FOR4_R(i, a, b, c) for (ll i = (b)-1; i >= ll(a); i -= (c))
#define overload4(a, b, c, d, e, ...) e
#define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__)
#define FOR_R(...) \
overload4(__VA_ARGS__, FOR4_R, 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
template <typename T, typename U>
T SUM(const vector<U> &A) {
T sum = 0;
for (auto &&a: A) sum += a;
return sum;
}
#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()
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); }
// (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 pick(deque<T> &que) {
T a = que.front();
que.pop_front();
return a;
}
template <typename T>
T pick(pq<T> &que) {
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(pqg<T> &que) {
assert(que.size());
T a = que.top();
que.pop();
return a;
}
template <typename T>
T pick(vc<T> &que) {
assert(que.size());
T a = que.back();
que.pop_back();
return a;
}
template <typename T, typename U>
T ceil(T x, U y) {
return (x > 0 ? (x + y - 1) / y : x / y);
}
template <typename T, typename U>
T floor(T x, U y) {
return (x > 0 ? x / y : (x - y + 1) / y);
}
template <typename T, typename U>
pair<T, T> divmod(T x, U y) {
T q = floor(x, y);
return {q, x - q * y};
}
template <typename F>
ll binary_search(F check, ll ok, ll ng) {
assert(check(ok));
while (abs(ok - ng) > 1) {
auto x = (ng + ok) / 2;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, 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;
tie(ok, ng) = (check(x) ? mp(x, ng) : mp(ok, 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);
}
vc<int> s_to_vi(const string &S, char first_char) {
vc<int> A(S.size());
FOR(i, S.size()) { A[i] = S[i] - first_char; }
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;
}
template <typename CNT, typename T>
vc<CNT> bincount(const vc<T> &A, int size) {
vc<CNT> C(size);
for (auto &&x: A) { ++C[x]; }
return C;
}
// stable
template <typename T>
vector<int> argsort(const vector<T> &A) {
vector<int> ids(A.size());
iota(all(ids), 0);
sort(all(ids),
[&](int i, int j) { return A[i] < A[j] || (A[i] == A[j] && i < j); });
return ids;
}
// A[I[0]], A[I[1]], ...
template <typename T>
vc<T> rearrange(const vc<T> &A, const vc<int> &I) {
int n = len(I);
vc<T> B(n);
FOR(i, n) B[i] = A[I[i]];
return B;
}
#line 1 "/home/maspy/compro/library/other/io.hpp"
// based on yosupo's fastio
#include <unistd.h>
namespace fastio {
// クラスが read(), print() を持っているかを判定するメタ関数
struct has_write_impl {
template <class T>
static auto check(T &&x) -> decltype(x.write(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_write : public decltype(has_write_impl::check<T>(std::declval<T>())) {
};
struct has_read_impl {
template <class T>
static auto check(T &&x) -> decltype(x.read(), std::true_type{});
template <class T>
static auto check(...) -> std::false_type;
};
template <class T>
class has_read : public decltype(has_read_impl::check<T>(std::declval<T>())) {};
struct Scanner {
FILE *fp;
char line[(1 << 15) + 1];
size_t st = 0, ed = 0;
void reread() {
memmove(line, line + st, ed - st);
ed -= st;
st = 0;
ed += fread(line + ed, 1, (1 << 15) - ed, fp);
line[ed] = '\0';
}
bool succ() {
while (true) {
if (st == ed) {
reread();
if (st == ed) return false;
}
while (st != ed && isspace(line[st])) st++;
if (st != ed) break;
}
if (ed - st <= 50) {
bool sep = false;
for (size_t i = st; i < ed; i++) {
if (isspace(line[i])) {
sep = true;
break;
}
}
if (!sep) reread();
}
return true;
}
template <class T, enable_if_t<is_same<T, string>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
while (true) {
size_t sz = 0;
while (st + sz < ed && !isspace(line[st + sz])) sz++;
ref.append(line + st, sz);
st += sz;
if (!sz || st != ed) break;
reread();
}
return true;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
bool read_single(T &ref) {
if (!succ()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
ref = T(0);
while (isdigit(line[st])) { ref = 10 * ref + (line[st++] & 0xf); }
if (neg) ref = -ref;
return true;
}
template <typename T,
typename enable_if<has_read<T>::value>::type * = nullptr>
inline bool read_single(T &x) {
x.read();
return true;
}
bool read_single(double &ref) {
string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
bool read_single(char &ref) {
string s;
if (!read_single(s) || s.size() != 1) return false;
ref = s[0];
return true;
}
template <class T>
bool read_single(vector<T> &ref) {
for (auto &d: ref) {
if (!read_single(d)) return false;
}
return true;
}
template <class T, class U>
bool read_single(pair<T, U> &p) {
return (read_single(p.first) && read_single(p.second));
}
template <size_t N = 0, typename T>
void read_single_tuple(T &t) {
if constexpr (N < std::tuple_size<T>::value) {
auto &x = std::get<N>(t);
read_single(x);
read_single_tuple<N + 1>(t);
}
}
template <class... T>
bool read_single(tuple<T...> &tpl) {
read_single_tuple(tpl);
return true;
}
void read() {}
template <class H, class... T>
void read(H &h, T &... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
Scanner(FILE *fp) : fp(fp) {}
};
struct Printer {
Printer(FILE *_fp) : fp(_fp) {}
~Printer() { flush(); }
static constexpr size_t SIZE = 1 << 15;
FILE *fp;
char line[SIZE], small[50];
size_t pos = 0;
void flush() {
fwrite(line, 1, pos, fp);
pos = 0;
}
void write(const char val) {
if (pos == SIZE) flush();
line[pos++] = val;
}
template <class T, enable_if_t<is_integral<T>::value, int> = 0>
void write(T val) {
if (pos > (1 << 15) - 50) flush();
if (val == 0) {
write('0');
return;
}
if (val < 0) {
write('-');
val = -val; // todo min
}
size_t len = 0;
while (val) {
small[len++] = char(0x30 | (val % 10));
val /= 10;
}
for (size_t i = 0; i < len; i++) { line[pos + i] = small[len - 1 - i]; }
pos += len;
}
void write(const string s) {
for (char c: s) write(c);
}
void write(const char *s) {
size_t len = strlen(s);
for (size_t i = 0; i < len; i++) write(s[i]);
}
void write(const double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
void write(const long double x) {
ostringstream oss;
oss << fixed << setprecision(15) << x;
string s = oss.str();
write(s);
}
template <typename T,
typename enable_if<has_write<T>::value>::type * = nullptr>
inline void write(T x) {
x.write();
}
template <class T>
void write(const vector<T> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
template <class T, class U>
void write(const pair<T, U> val) {
write(val.first);
write(' ');
write(val.second);
}
template <size_t N = 0, typename T>
void write_tuple(const T t) {
if constexpr (N < std::tuple_size<T>::value) {
if constexpr (N > 0) { write(' '); }
const auto x = std::get<N>(t);
write(x);
write_tuple<N + 1>(t);
}
}
template <class... T>
bool write(tuple<T...> tpl) {
write_tuple(tpl);
return true;
}
template <class T, size_t S>
void write(const array<T, S> val) {
auto n = val.size();
for (size_t i = 0; i < n; i++) {
if (i) write(' ');
write(val[i]);
}
}
void write(i128 val) {
string s;
bool negative = 0;
if (val < 0) {
negative = 1;
val = -val;
}
while (val) {
s += '0' + int(val % 10);
val /= 10;
}
if (negative) s += "-";
reverse(all(s));
if (len(s) == 0) s = "0";
write(s);
}
};
Scanner scanner = Scanner(stdin);
Printer printer = Printer(stdout);
void flush() { printer.flush(); }
void print() { printer.write('\n'); }
template <class Head, class... Tail>
void print(Head &&head, Tail &&... tail) {
printer.write(head);
if (sizeof...(Tail)) printer.write(' ');
print(forward<Tail>(tail)...);
}
void read() {}
template <class Head, class... Tail>
void read(Head &head, Tail &... tail) {
scanner.read(head);
read(tail...);
}
} // namespace fastio
using fastio::print;
using fastio::flush;
using fastio::read;
#define INT(...) \
int __VA_ARGS__; \
read(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
read(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
read(__VA_ARGS__)
#define CHAR(...) \
char __VA_ARGS__; \
read(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
read(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
read(name)
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
read(name)
void YES(bool t = 1) { print(t ? "YES" : "NO"); }
void NO(bool t = 1) { YES(!t); }
void Yes(bool t = 1) { print(t ? "Yes" : "No"); }
void No(bool t = 1) { Yes(!t); }
void yes(bool t = 1) { print(t ? "yes" : "no"); }
void no(bool t = 1) { yes(!t); }
#line 2 "/home/maspy/compro/library/ds/segtree/dual_segtree.hpp"
template <typename Monoid>
struct Dual_SegTree {
using MA = Monoid;
using A = typename MA::value_type;
int n, log, size;
vc<A> laz;
Dual_SegTree() : Dual_SegTree(0) {}
Dual_SegTree(int n) { build(n); }
void build(int m) {
n = m;
log = 1;
while ((1 << log) < n) ++log;
size = 1 << log;
laz.assign(size << 1, MA::unit());
}
A get(int p) {
assert(0 <= p && p < n);
p += size;
for (int i = log; i >= 1; i--) push(p >> i);
return laz[p];
}
vc<A> get_all() {
FOR(i, size) push(i);
return {laz.begin() + size, laz.begin() + size + n};
}
void apply(int l, int r, const A& a) {
assert(0 <= l && l <= r && r <= n);
if (l == r) return;
l += size, r += size;
if (!MA::commute) {
for (int i = log; i >= 1; i--) {
if (((l >> i) << i) != l) push(l >> i);
if (((r >> i) << i) != r) push((r - 1) >> i);
}
}
while (l < r) {
if (l & 1) all_apply(l++, a);
if (r & 1) all_apply(--r, a);
l >>= 1, r >>= 1;
}
}
private:
void push(int k) {
if (laz[k] == MA::unit()) return;
all_apply(2 * k, laz[k]), all_apply(2 * k + 1, laz[k]);
laz[k] = MA::unit();
}
void all_apply(int k, A a) { laz[k] = MA::op(laz[k], a); }
};
#line 2 "/home/maspy/compro/library/alg/monoid/max.hpp"
template <class X>
struct Monoid_Max {
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return max(x, y); }
static constexpr X unit() { return numeric_limits<X>::lowest(); }
static constexpr bool commute = true;
};
#line 2 "/home/maspy/compro/library/alg/monoid/min.hpp"
template <class X>
struct Monoid_Min {
using value_type = X;
static constexpr X op(const X &x, const X &y) noexcept { return min(x, y); }
static constexpr X unit() { return numeric_limits<X>::max(); }
static constexpr bool commute = true;
};
#line 6 "main.cpp"
void solve() {
LL(A, B, C);
LL(M);
if (M == 0) return print((A + 1) * (B + 1) * (C + 1));
ll N = A + B + C + 2;
vc<pi> AA, AB, AC, BB, BC, CC;
vc<int> SA, SB, SC, AT, BT, CT;
ll S = A + B + C, T = A + B + C + 1;
auto get = [&](int v) -> pair<int, int> {
if (v < A) return {0, v};
if (v < A + B) return {1, v - A};
return {2, v - A - B};
};
FOR(M) {
LL(u, v);
if (u > v) swap(u, v);
--u, --v;
if (u == S && v == T) return print(0);
elif (v == T) {
if (0 <= u && u < A) AT.eb(u);
if (A <= u && u < A + B) BT.eb(u - A);
if (A + B <= u && u < A + B + C) CT.eb(u - A - B);
}
elif (v == S) {
if (0 <= u && u < A) SA.eb(u);
if (A <= u && u < A + B) SB.eb(u - A);
if (A + B <= u && u < A + B + C) SC.eb(u - A - B);
}
else {
assert(u < A + B + C && v < A + B + C);
auto [i, a] = get(u);
auto [j, b] = get(v);
if (i == 0 && j == 0) AA.eb(a, b);
if (i == 0 && j == 1) AB.eb(a, b);
if (i == 0 && j == 2) AC.eb(a, b);
if (i == 1 && j == 1) BB.eb(a, b);
if (i == 1 && j == 2) BC.eb(a, b);
if (i == 2 && j == 2) CC.eb(a, b);
}
}
// 禁止区間が [, ) になるように
for (auto&& [x, y]: AA) ++x, ++y;
for (auto&& [x, y]: BB) ++x, ++y;
for (auto&& [x, y]: CC) ++x, ++y;
for (auto&& [x, y]: AB) ++x, ++y;
for (auto&& [x, y]: AC) ++x, ++y;
for (auto&& [x, y]: BC) ++x, ++y;
for (auto&& x: SA) ++x;
for (auto&& x: SB) ++x;
for (auto&& x: SC) ++x;
for (auto&& x: AT) ++x;
for (auto&& x: BT) ++x;
for (auto&& x: CT) ++x;
++A, ++B, ++C;
vc<int> NGA(A + 1), NGB(B + 1), NGC(C + 1);
for (auto&& [x, y]: AA) { NGA[x] += 1, NGA[y] -= 1; }
for (auto&& [x, y]: BB) { NGB[x] += 1, NGB[y] -= 1; }
for (auto&& [x, y]: CC) { NGC[x] += 1, NGC[y] -= 1; }
for (auto&& x: SA) { NGA[0] += 1, NGA[x] -= 1; }
for (auto&& x: SB) { NGB[0] += 1, NGB[x] -= 1; }
for (auto&& x: SC) { NGC[0] += 1, NGC[x] -= 1; }
for (auto&& x: AT) { NGA[x] += 1; }
for (auto&& x: BT) { NGB[x] += 1; }
for (auto&& x: CT) { NGC[x] += 1; }
NGA = cumsum<int>(NGA, 0);
NGB = cumsum<int>(NGB, 0);
NGC = cumsum<int>(NGC, 0);
vc<int> XA, XB, XC;
FOR(x, A) if (!NGA[x]) XA.eb(x);
FOR(x, B) if (!NGB[x]) XB.eb(x);
FOR(x, C) if (!NGC[x]) XC.eb(x);
// AB, AC, BC しかいらない
for (auto&& [x, y]: AB) x = LB(XA, x), y = LB(XB, y);
for (auto&& [x, y]: AC) x = LB(XA, x), y = LB(XC, y);
for (auto&& [x, y]: BC) x = LB(XB, x), y = LB(XC, y);
A = len(XA), B = len(XB), C = len(XC);
// まずは、AB の情報を収集して、長方形を列挙する
Dual_SegTree<Monoid_Max<int>> segLO(A);
Dual_SegTree<Monoid_Min<int>> segHI(A);
segLO.apply(0, A, 0);
segHI.apply(0, A, B);
for (auto&& [x, y]: AB) {
segHI.apply(0, x, y);
segLO.apply(x, A, y);
}
vc<int> LO = segLO.get_all();
vc<int> HI = segHI.get_all();
// c ごとに、有効な領域は？
Dual_SegTree<Monoid_Max<int>> CL(C);
Dual_SegTree<Monoid_Min<int>> CR(C);
Dual_SegTree<Monoid_Max<int>> CD(C);
Dual_SegTree<Monoid_Min<int>> CU(C);
CL.apply(0, C, 0);
CR.apply(0, C, A);
CD.apply(0, C, 0);
CU.apply(0, C, B);
for (auto&& [x, y]: AC) {
CR.apply(0, y, x);
CL.apply(y, C, x);
}
for (auto&& [x, y]: BC) {
CU.apply(0, y, x);
CD.apply(y, C, x);
}
XA.clear();
FOR(a, A) if (LO[a] < HI[a]) XA.eb(a);
LO = rearrange(LO, XA);
HI = rearrange(HI, XA);
A = len(LO);
vi LOc = cumsum<ll>(LO);
vi HIc = cumsum<ll>(HI);
auto f = [&](int R, int U) -> ll {
ll res = 0;
ll n = LB(HI, U);
ll m = LB(LO, U);
chmin(n, R);
chmin(m, R);
assert(n <= m);
res += HIc[n] - LOc[n];
res += U * (m - n) - (LOc[m] - LOc[n]);
/*
FOR(a, R) {
if (HI[a] < U) res += HI[a] - LO[a];
elif (LO[a] < U) res += U - LO[a];
}
*/
return res;
};
auto calc_c = [&](int c) -> ll {
ll L = CL.get(c), R = CR.get(c);
L = LB(XA, L), R = LB(XA, R);
ll D = CD.get(c), U = CU.get(c);
if (L >= R || D >= U) return 0;
return f(L, D) - f(R, D) - f(L, U) + f(R, U);
};
ll ANS = 0;
FOR(c, C) ANS += calc_c(c);
print(ANS);
}
signed main() {
int T = 1;
// INT(T);
FOR(T) solve();
return 0;
}