[Hacker Earth] The maximum distance

The maximum distance

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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;
using ull = unsigned long long;

// constants
const ld PI = acosl(-1.0); /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 202020;
const ll mod = 1e9 + 7;

// typedef
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<pll> vpll;
typedef array<int,3> ai3;
typedef array<ll,3> all3;
typedef array<ll,4> all4;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all4> vall4;
typedef vector<all5> vall5;
typedef pair<ld, ld> pld;
typedef vector<pld> vpld;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<ull> vull;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef deque<ll> dqll;
typedef deque<pll> dqpll;
typedef pair<string, string> pss;
typedef vector<pss> vpss;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;

// macros
#define precision(x) cout<<fixed;cout.precision(x);
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define INF(a) memset(a,0x3f3f3f3f3f3f3f3fLL,sizeof(a))
#define ASCEND(a) iota(all(a),0)
#define sz(x) ll((x).size())
#define BIT(a,i) ((a>>i)&1)
#define BITSHIFT(a,i,n) (((a<<i) & ((1ll<<n) - 1)) | (a>>(n-i)))
#define MAXBIT(a) (64ll - __builtin_clzll(a) - 1ll)
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define endl "\n"
#define pneg1 cout<<"-1\n";
#define ppossible cout<<"Possible\n";
#define pimpossible cout<<"Impossible\n";
#define TC(x) cout<<"Case #"<<x<<": ";
#define X first
#define Y second

// debug
void __print(int x) { cerr << x; }
void __print(long x) { cerr << x; }
void __print(long long x) { cerr << x; }
void __print(unsigned x) { cerr << x; }
void __print(unsigned long x) { cerr << x; }
void __print(unsigned long long x) { cerr << x; }
void __print(float x) { cerr << x; }
void __print(double x) { cerr << x; }
void __print(long double x) { cerr << x; }
void __print(char x) { cerr << '\'' << x << '\''; }
void __print(const char *x) { cerr << '\"' << x << '\"'; }
void __print(const string &x) { cerr << '\"' << x << '\"'; }
void __print(bool x) { cerr << (x ? "true" : "false"); }
template <typename A>
void __print(const A &x);
template <typename A, typename B>
void __print(const pair<A, B> &p);
template <typename... A>
void __print(const tuple<A...> &t);
template <typename T>
void __print(stack<T> s);
template <typename T>
void __print(queue<T> q);
template <typename T, typename... U>
void __print(priority_queue<T, U...> q);
template <typename A>
void __print(const A &x) {
bool first = true;
cerr << '{';
for (const auto &i : x) {
cerr << (first ? "" : ","), __print(i);
first = false;
}
cerr << '}';
}
template <typename A, typename B>
void __print(const pair<A, B> &p) {
cerr << '(';
__print(p.first);
cerr << ',';
__print(p.second);
cerr << ')';
}
template <typename... A>
void __print(const tuple<A...> &t) {
bool first = true;
cerr << '(';
apply([&first](const auto &...args) { ((cerr << (first ? "" : ","), __print(args), first = false), ...); }, t);
cerr << ')';
}
template <typename T>
void __print(stack<T> s) {
vector<T> debugVector;
while (!s.empty()) {
T t = s.top();
debugVector.push_back(t);
s.pop();
}
reverse(debugVector.begin(), debugVector.end());
__print(debugVector);
}
template <typename T>
void __print(queue<T> q) {
vector<T> debugVector;
while (!q.empty()) {
T t = q.front();
debugVector.push_back(t);
q.pop();
}
__print(debugVector);
}
template <typename T, typename... U>
void __print(priority_queue<T, U...> q) {
vector<T> debugVector;
while (!q.empty()) {
T t = q.top();
debugVector.push_back(t);
q.pop();
}
__print(debugVector);
}
void _print() { cerr << "]\n"; }
template <typename Head, typename... Tail>
void _print(const Head &H, const Tail &...T) {
__print(H);
if (sizeof...(T))
cerr << ", ";
_print(T...);
}
#ifndef ONLINE_JUDGE
#define debug(...) cerr << "Line:" << __LINE__ << " [" << #__VA_ARGS__ << "] = ["; _print(__VA_ARGS__);
#else
#define debug(...)
#endif

// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n){cout<<v[i];if(i+1!=n)cout<<' ';}cout<<endl;}
template<typename T>
void printvv(vector<vector<T>>v){ll n=v.size();rep(i,0,n)printv(v[i]);}
template<typename T>
void printvln(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<endl;}
void fileIO(string in = "input.txt", string out = "output.txt") {freopen(in.c_str(),"r",stdin); freopen(out.c_str(),"w",stdout);}
void readf() {freopen("", "rt", stdin);}
template <typename... T>
void in(T &...a) { ((cin >> a), ...); }
template<typename T>
void readv(vector<T>& v){rep(i,0,sz(v)) in(v[i]);}
template<typename T, typename U>
void readp(pair<T,U>& A) {cin>>A.first>>A.second;}
template<typename T, typename U>
void readvp(vector<pair<T,U>>& A) {rep(i,0,sz(A)) readp(A[i]); }
template<typename T>
void readvall(vector<T>& v) {rep(i,0,sz(v)) rep(j,0,sz(v[i])) in(v[i][j]);}
template<typename T>
void readvv(vector<vector<T>>& A) {rep(i,0,sz(A)) readv(A[i]);}

struct Combination {
vll fac, inv;
ll n, MOD;

ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

Combination(ll _n, ll MOD = mod): n(_n + 1), MOD(MOD) {
inv = fac = vll(n,1);
rep(i,1,n) fac[i] = fac[i-1] * i % MOD;
inv[n - 1] = modpow(fac[n - 1], MOD - 2, MOD);
rrep(i,1,n - 2) inv[i] = inv[i + 1] * (i + 1) % MOD;
}

ll fact(ll n) {return fac[n];}
ll nCr(ll n, ll r) {
if(n < r or n < 0 or r < 0) return 0;
return fac[n] * inv[r] % MOD * inv[n-r] % MOD;
}
};

struct Matrix {
ll r,c,MOD;
vvll matrix;
Matrix(ll r, ll c, ll v = 0, ll MOD = mod): r(r), c(c), matrix(vvll(r,vll(c,v))), MOD(MOD) {}
Matrix(vvll m, ll MOD = mod) : r(sz(m)), c(sz(m[0])), matrix(m), MOD(MOD) {}

vector<ll>& operator[](ll pos) {return matrix[pos];}
Matrix operator*(const Matrix& B) const {
Matrix res(r, B.c, 0,MOD);
rep(i,0,r) rep(j,0,B.c) rep(k,0,B.r) {
res[i][j] = (res[i][j] + matrix[i][k] * B.matrix[k][j] % MOD) % MOD;
}
return res;
}

Matrix copy() {
Matrix copy(r,c,0,MOD);
copy.matrix = matrix;
return copy;
}


Matrix pow(ll n) {
assert(r == c);
Matrix res(r,r, 0,MOD);
Matrix now = copy();
rep(i,0,r) res[i][i] = 1;
while(n) {
if(n & 1) res = res * now;
now = now * now;
n /= 2;
}
return res;
}

ll det() {
if(r == 1) return matrix[0][0];
if(r == 2) return matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0];
ll res = 0;
rep(p,0,c) {
Matrix mat(c-1,c-1);
rep(i,1,r) rep(j,0,c) {
if(j == p) continue;
mat[i][j - (j >= p)] = matrix[i][j];
}
res += matrix[0][p] * (p & 1 ? -1 : 1) * mat.det();
}
return res;
}
};

// geometry data structures
template <typename T>
struct Point {
T y,x;
Point(T y, T x) : y(y), x(x) {}
Point(pair<T,T> p) : y(p.first), x(p.second) {}
Point() {}
void input() {cin>>y>>x;}
friend ostream& operator<<(ostream& os, const Point<T>& p) { os<<p.y<<' '<<p.x<<'\n'; return os;}
Point<T> operator+(Point<T>& p) {return Point<T>(y + p.y, x + p.x);}
Point<T> operator-(Point<T>& p) {return Point<T>(y - p.y, x - p.x);}
Point<T> operator*(ll n) {return Point<T>(y*n,x*n); }
Point<T> operator/(ll n) {return Point<T>(y/n,x/n); }
bool operator==(const Point<T> &a) {return x == a.x && y == a.y;}
bool operator<(const Point &other) const {if (x == other.x) return y < other.y;return x < other.x;}
Point<T> rotate(Point<T> center, ld angle) {
ld si = sin(angle * PI / 180.), co = cos(angle * PI / 180.);
ld y = this->y - center.y;
ld x = this->x - center.x;

return Point<T>(y * co - x * si + center.y, y * si + x * co + center.x);
}
ld distance(Point<T> other) {
T dy = abs(this->y - other.y);
T dx = abs(this->x - other.x);
return sqrt(dy * dy + dx * dx);
}

T norm() { return x * x + y * y; }
};

template<typename T>
struct Line {
Point<T> A, B;
Line(Point<T> A, Point<T> B) : A(A), B(B) {}
Line() {}

void input() {
A = Point<T>();
B = Point<T>();
A.input();
B.input();
}

T ccw(Point<T> &a, Point<T> &b, Point<T> &c) {
T res = a.x * b.y + b.x * c.y + c.x * a.y;
res -= (a.x * c.y + b.x * a.y + c.x * b.y);
return res;
}

bool on(Point<T> x) {
return ccw(A,x,B) == 0;
}

bool isIntersect(Line<T> o) {
T p1p2 = ccw(A,B,o.A) * ccw(A,B,o.B);
T p3p4 = ccw(o.A,o.B,A) * ccw(o.A,o.B,B);
if (p1p2 == 0 && p3p4 == 0) {
pair<T,T> p1(A.y, A.x), p2(B.y,B.x), p3(o.A.y, o.A.x), p4(o.B.y, o.B.x);
if (p1 > p2) swap(p2, p1);
if (p3 > p4) swap(p3, p4);
return p3 <= p2 && p1 <= p4;
}
return p1p2 <= 0 && p3p4 <= 0;
}

pair<bool,Point<ld>> intersection(Line<T> o) {
if(!this->intersection(o)) return {false, {}};
ld det = 1. * (o.B.y-o.A.y)*(B.x-A.x) - 1.*(o.B.x-o.A.x)*(B.y-A.y);
ld t = ((o.B.x-o.A.x)*(A.y-o.A.y) - (o.B.y-o.A.y)*(A.x-o.A.x)) / det;
return {true, {A.y + 1. * t * (B.y - A.y), B.x + 1. * t * (B.x - A.x)}};
}

//@formula for : y = ax + pre
//@return {a,pre};
pair<ld, ld> formula() {
T y1 = A.y, y2 = B.y;
T x1 = A.x, x2 = B.x;
if(y1 == y2) return {0, (ld)y1};
if(x1 == x2) return {INF, (ld)x1};
ld a = 1. * (y2 - y1) / (x2 - x1);
ld b = -x1 * a + y1;
return {a, b};
}
};

template<typename T>
struct Circle {
Point<T> center;
T radius;
Circle(T y, T x, T radius) : center(Point<T>(y,x)), radius(radius) {}
Circle(Point<T> center, T radius) : center(center), radius(radius) {}
Circle() {}

void input() {
center = Point<T>();
center.input();
cin>>radius;
}

bool circumference(Point<T> p) {
return (center.x - p.x) * (center.x - p.x) + (center.y - p.y) * (center.y - p.y) == radius * radius;
}

bool intersect(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
return (radius - c.radius) * (radius - c.radius) <= d and d <= (radius + c.radius) * (radius + c.radius);
}

bool include(Circle<T> c) {
T d = (center.x - c.center.x) * (center.x - c.center.x) + (center.y - c.center.y) * (center.y - c.center.y);
debug(d, radius)
return d <= radius * radius;
}
};

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
all3 __exgcd(ll x, ll y) { if(!y) return {x,1,0}; auto [g,x1,y1] = __exgcd(y, x % y); return {g, y1, x1 - (x/y) * y1}; }
ll __lcm(ll x, ll y) { return x / __gcd(x,y) * y; }
ll modpow(ll n, ll x, ll MOD = mod) { if(x < 0) return modpow(modpow(n,-x,MOD), MOD-2,MOD); n%=MOD; if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }

struct MergeInterval {
map<ll,ll> interval;
void clean() {
interval = {};
}
void add(ll l, ll r) {
if(sz(interval) == 0) interval[l] = r;
else {
if(interval.count(l)) {
if(interval[l] >= r) return;
interval[l] = r;
}
auto it = interval.lower_bound(l);
if(it != begin(interval) and prev(it)->second + 1 >= l) it--;
while(next(it) != end(interval) and it->second + 1 >= next(it)->first) {
it->second = max(it->second, next(it)->second);
interval.erase(next(it));
}
}
}
};
struct Lazy {
vpll operation;
ll mi,ma,value;
Lazy *left, *right;
Lazy(vll& A, ll l, ll r) : mi(l), ma(r), value(0), left(nullptr), right(nullptr), operation({}) {
if(l ^ r) {
ll m = l + (r - l) / 2;
left = new Lazy(A,l,m);
right = new Lazy(A,m+1,r);
} else value = A[l];
}
bool leaf() {
return left == nullptr and right == nullptr;
}
void mergeOperation(vpll oper) {
rep(i,0,sz(oper)) {
auto [op, val] = oper[i];
if(sz(operation) == 0 or operation.back().first != op) {
operation.push_back({op,val});
} else {
if(op == 1) operation.back().second += val;
else operation.back().second *= val;
}
}
}
void propagate() {
if(leaf()) return;
left->mergeOperation(operation);
right->mergeOperation(operation);
operation = {};
}
void add(ll l, ll r, ll op, ll val) {
if(l <= mi and ma <= r) {
mergeOperation({{op,val}});
return;
}
if(mi > r or ma < l) return;
if(left) left->add(l,r,op,val);
if(right) right->add(l,r,op,val);
}
ll update(ll p) {
propagate();
if(leaf()) {
rep(i,0,sz(operation)) {
auto [op, val] = operation[i];
if(op == 1) value += val;
else value *= val;
}
return value;
}
ll m = mi + (ma - mi) / 2;
if(p <= m) return left->update(p);
return right->update(p);
}
};
vll solve(ll n, vll A, vall4 Q) {
vll ma, res;
rrep(i,0,sz(Q)-1) {
auto [op,x,_,__] = Q[i];
if(op != 3) continue;
if(sz(ma) == 0) ma.push_back(x);
else ma.push_back(max(ma.back(), x));
}
map<ll,set<ll>> ords;
set<ll> live;
rep(i,0,n) {
live.insert(i);
ords[A[i]].insert(i);
}
Lazy* lazy = new Lazy(A,0,sz(A) - 1);
MergeInterval mi;
rep(i,0,sz(Q)) {
auto [op,l,r,x] = Q[i];
if(op == 1) {
l -= 1, r -= 1;
auto it = live.lower_bound(l);
if(it != end(live) and *it <= r) {
mi.add(l,r);
lazy->add(l,r,1,x);
}
}
if(op == 2) {
if(x == 1) continue;
l -= 1, r -= 1;
auto it = live.lower_bound(l);
if(it != end(live) and *it <= r) {
mi.add(l,r);
lazy->add(l,r,2,x);
}
}
if(op == 3) {
auto best = ma.back(); ma.pop_back();
for(auto& [l,r] : mi.interval) {
auto it = live.lower_bound(l);
while(it != end(live) and *it <= r) {
ll pos = *it;
ords[A[pos]].erase(pos);
if(sz(ords[A[pos]]) == 0) ords.erase(A[pos]);
ll value = lazy->update(*it);
A[pos] = value;
ords[A[pos]].insert(pos);
it++;
}
}
mi.clean();
while(sz(ords) and prev(end(ords))->first > best) {
auto it = prev(end(ords));
for(auto& p : it->second) live.erase(p);
ords.erase(it);
}
if(!ords.count(l)) res.push_back(-1);
else {
auto le = *begin(ords[l]), ri = *prev(end(ords[l]));
res.push_back(ri - le + 1);
}
}
}
return res;
}
int main() {
Code By Sumfi
precision(15)
ll tc = 1;
//in(tc);
rep(i,1,tc+1) {
ll n,q;
in(n);
vll A(n);
readv(A);
in(q);
vall4 Q(q);
rep(i,0,q) {
in(Q[i][0], Q[i][1]);
if(Q[i][0] == 1 or Q[i][0] == 2) in(Q[i][2], Q[i][3]);
}
printvln(solve(n,A,Q));
}
return 0;
}

Author: Song Hayoung
Link: https://songhayoung.github.io/2023/10/03/PS/HackerEarth/the-maximum-distance/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.