結果
問題 | No.1300 Sum of Inversions |
ユーザー |
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提出日時 | 2020-11-27 21:57:17 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 422 ms / 2,000 ms |
コード長 | 8,923 bytes |
コンパイル時間 | 2,764 ms |
コンパイル使用メモリ | 214,660 KB |
最終ジャッジ日時 | 2025-01-16 07:10:30 |
ジャッジサーバーID (参考情報) |
judge3 / judge3 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 34 |
ソースコード
#include <bits/stdc++.h>using namespace std;using LL = long long int;#define incII(i, l, r) for(LL i = (l) ; i <= (r); i++)#define incIX(i, l, r) for(LL i = (l) ; i < (r); i++)#define incXI(i, l, r) for(LL i = (l) + 1; i <= (r); i++)#define incXX(i, l, r) for(LL i = (l) + 1; i < (r); i++)#define decII(i, l, r) for(LL i = (r) ; i >= (l); i--)#define decIX(i, l, r) for(LL i = (r) - 1; i >= (l); i--)#define decXI(i, l, r) for(LL i = (r) ; i > (l); i--)#define decXX(i, l, r) for(LL i = (r) - 1; i > (l); i--)#define inc(i, n) incIX(i, 0, n)#define dec(i, n) decIX(i, 0, n)#define inc1(i, n) incII(i, 1, n)#define dec1(i, n) decII(i, 1, n)auto inII = [](auto x, auto l, auto r) { return (l <= x && x <= r); };auto inIX = [](auto x, auto l, auto r) { return (l <= x && x < r); };auto inXI = [](auto x, auto l, auto r) { return (l < x && x <= r); };auto inXX = [](auto x, auto l, auto r) { return (l < x && x < r); };auto setmin = [](auto & a, auto b) { return (b < a ? a = b, true : false); };auto setmax = [](auto & a, auto b) { return (b > a ? a = b, true : false); };auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); };auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); };#define PB push_back#define EB emplace_back#define MP make_pair#define MT make_tuple#define FI first#define SE second#define FR front()#define BA back()#define ALL(c) c.begin(), c.end()#define RALL(c) c.rbegin(), c.rend()#define RV(c) reverse(ALL(c))#define SC static_cast#define SI(c) SC<int>(c.size())#define SL(c) SC<LL >(c.size())#define RF(e, c) for(auto & e: c)#define SF(c, ...) for(auto & [__VA_ARGS__]: c)#define until(e) while(! (e))#define if_not(e) if(! (e))#define ef else if#define UR assert(false)auto * IS = & cin;auto * OS = & cout;array<string, 3> SEQ = { "", " ", "" };// inputtemplate<typename T> T in() { T a; (* IS) >> a; return a; }// input: tupletemplate<int I, typename U> void tin_(istream & is, U & t) {if constexpr(I < tuple_size<U>::value) { is >> get<I>(t); tin_<I + 1>(is, t); }}template<typename ... T> istream & operator>>(istream & is, tuple<T ...> & t) { tin_<0>(is, t); return is; }template<typename ... T> auto tin() { return in<tuple<T ...>>(); }// input: arraytemplate<typename T, size_t N> istream & operator>>(istream & is, array<T, N> & a) { RF(e, a) { is >> e; } return is; }template<typename T, size_t N> auto ain() { return in<array<T, N>>(); }// input: multi-dimensional vectortemplate<typename T> T vin() { T v; (* IS) >> v; return v; }template<typename T, typename N, typename ... M> auto vin(N n, M ... m) {vector<decltype(vin<T, M ...>(m ...))> v(n); inc(i, n) { v[i] = vin<T, M ...>(m ...); } return v;}// input: multi-column (tuple<vector>)template<typename U, int I> void colin_([[maybe_unused]] U & t) { }template<typename U, int I, typename A, typename ... B> void colin_(U & t) {get<I>(t).PB(in<A>()); colin_<U, I + 1, B ...>(t);}template<typename ... T> auto colin(int n) {tuple<vector<T> ...> t; inc(i, n) { colin_<tuple<vector<T> ...>, 0, T ...>(t); } return t;}// outputvoid out_([[maybe_unused]] string s) { }template<typename A> void out_([[maybe_unused]] string s, A && a) { (* OS) << a; }template<typename A, typename ... B> void out_(string s, A && a, B && ... b) { (* OS) << a << s; out_(s, b ...); }auto outF = [](auto x, auto y, auto z, auto ... a) { (* OS) << x; out_(y, a ...); (* OS) << z << flush; };auto out = [](auto ... a) { outF("", " " , "\n", a ...); };auto outS = [](auto ... a) { outF("", " " , " " , a ...); };auto outL = [](auto ... a) { outF("", "\n", "\n", a ...); };auto outN = [](auto ... a) { outF("", "" , "" , a ...); };// output: multi-dimensional vectortemplate<typename T> ostream & operator<<(ostream & os, vector<T> const & v) {os << SEQ[0]; inc(i, SI(v)) { os << (i == 0 ? "" : SEQ[1]) << v[i]; } return (os << SEQ[2]);}template<typename T> void vout_(T && v) { (* OS) << v; }template<typename T, typename A, typename ... B> void vout_(T && v, A a, B ... b) {inc(i, SI(v)) { (* OS) << (i == 0 ? "" : a); vout_(v[i], b ...); }}template<typename T, typename A, typename ... B> void vout (T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << a << flush; }template<typename T, typename A, typename ... B> void voutN(T && v, A a, B ... b) { vout_(v, a, b ...); (* OS) << flush; }// ---- ----template<typename T> class SegmentTree {private:int n, s;vector<T> a;function<T(T &, T &)> f;T e;bool ok;void shift(int & p) {assert(inIX(p, 0, n));p += s;}public:SegmentTree() { n = 0; }SegmentTree(int nn, function<T(T &, T &)> ff, T ee) { init(nn, ff, ee); }void init(int nn, function<T(T &, T &)> ff, T ee) {n = nn;f = ff;e = ee;s = 1;while(s < n) { s *= 2; }a = vector<T>(2 * s, e);ok = true;}void apply(int p, function<void(T &)> g) {shift(p);g(a[p]);while(p > 1) {p /= 2;a[p] = f(a[2 * p], a[2 * p + 1]);}}T fold_IX(int l, int r) {assert(ok);assert(inII(l, 0, n)); l += s;assert(inII(r, 0, n)); r += s; r--;T x = e, y = e;while(l <= r) {if(l % 2 == 1) { x = f(x, a[l]); l++; }if(r % 2 == 0) { y = f(a[r], y); r--; }l /= 2;r /= 2;}return f(x, y);}T fold_II(int l, int r) { return fold_IX(l + 0, r + 1); }T fold_XI(int l, int r) { return fold_IX(l + 1, r + 1); }T fold_XX(int l, int r) { return fold_IX(l + 1, r + 0); }const T & operator[](int p) {shift(p);return a[p];}T & ref(int p) {shift(p);ok = false;return a[p];}void calc() {dec(i, s) { a[i] = f(a[2 * i], a[2 * i + 1]); }ok = true;}};#define OP(s) [&](auto & A, auto & B) { return s; }#define AP(s) [&](auto & A) { s; }// ----template<LL M> class ModInt {private:LL v;pair<LL, LL> ext_gcd(LL a, LL b) {if(b == 0) { assert(a == 1); return { 1, 0 }; }auto p = ext_gcd(b, a % b);return { p.SE, p.FI - (a / b) * p.SE };}public:ModInt(LL vv = 0) { v = vv; if(abs(v) >= M) { v %= M; } if(v < 0) { v += M; } }LL val() { return v; }static LL mod() { return M; }ModInt inv() { return ext_gcd(M, v).SE; }ModInt exp(LL b) {ModInt p = 1, a = v; if(b < 0) { a = a.inv(); b = -b; }while(b) { if(b & 1) { p *= a; } a *= a; b >>= 1; }return p;}friend bool operator< (ModInt a, ModInt b) { return (a.v < b.v); }friend bool operator> (ModInt a, ModInt b) { return (a.v > b.v); }friend bool operator<=(ModInt a, ModInt b) { return (a.v <= b.v); }friend bool operator>=(ModInt a, ModInt b) { return (a.v >= b.v); }friend bool operator==(ModInt a, ModInt b) { return (a.v == b.v); }friend bool operator!=(ModInt a, ModInt b) { return (a.v != b.v); }friend ModInt operator+ (ModInt a ) { return ModInt(+a.v); }friend ModInt operator- (ModInt a ) { return ModInt(-a.v); }friend ModInt operator+ (ModInt a, ModInt b) { return ModInt(a.v + b.v); }friend ModInt operator- (ModInt a, ModInt b) { return ModInt(a.v - b.v); }friend ModInt operator* (ModInt a, ModInt b) { return ModInt(a.v * b.v); }friend ModInt operator/ (ModInt a, ModInt b) { return a * b.inv(); }friend ModInt operator^ (ModInt a, LL b) { return a.exp(b); }friend ModInt & operator+=(ModInt & a, ModInt b) { return (a = a + b); }friend ModInt & operator-=(ModInt & a, ModInt b) { return (a = a - b); }friend ModInt & operator*=(ModInt & a, ModInt b) { return (a = a * b); }friend ModInt & operator/=(ModInt & a, ModInt b) { return (a = a / b); }friend ModInt & operator^=(ModInt & a, LL b) { return (a = a ^ b); }friend istream & operator>>(istream & s, ModInt & b) { s >> b.v; b = ModInt(b.v); return s; }friend ostream & operator<<(ostream & s, ModInt b) { return (s << b.v); }};// ----using MI = ModInt<998244353>;#define UQnoS(v) v.erase(unique(ALL(v)), v.end())#define UQ(v) sort(ALL(v)); UQnoS(v)#define LB(v, x) (lower_bound(ALL(v), x) - v.begin())#define UB(v, x) (upper_bound(ALL(v), x) - v.begin())int main() {auto n = in<int>();auto a = vin<LL>(n);auto z = a;UQ(z);vector<MI> cl(n), cr(n), sl(n), sr(n);{SegmentTree<LL> st_c(SI(z), OP(A + B), 0);SegmentTree<LL> st_s(SI(z), OP(A + B), 0);inc(i, n) {LL v = LB(z, a[i]);cl[i] = st_c.fold_XX(v, SI(z));sl[i] = st_s.fold_XX(v, SI(z));st_c.apply(v, AP(A += 1));st_s.apply(v, AP(A += a[i]));}}{SegmentTree<LL> st_c(SI(z), OP(A + B), 0);SegmentTree<LL> st_s(SI(z), OP(A + B), 0);dec(i, n) {LL v = LB(z, a[i]);cr[i] = st_c.fold_IX(0, v);sr[i] = st_s.fold_IX(0, v);st_c.apply(v, AP(A += 1));st_s.apply(v, AP(A += a[i]));}}MI ans = 0;inc(i, n) { ans += a[i]*cl[i]*cr[i] + sl[i]*cr[i] + cl[i]*sr[i]; }out(ans);}