#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)(x).size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 30013; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
constexpr int pct(int x) { return __builtin_popcount(x); }
constexpr int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
ll cdiv(ll a, ll b) { return a/b+((a^b)>0&&a%b); } // divide a by b rounded up
ll fdiv(ll a, ll b) { return a/b-((a^b)<0&&a%b); } // divide a by b rounded down
ll half(ll x) { return fdiv(x,2); }
template<class T, class U> T fstTrue(T lo, T hi, U f) {
// note: if (lo+hi)/2 is used instead of half(lo+hi) then this will loop infinitely when lo=hi
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi);
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
template<class T, class U> T lstTrue(T lo, T hi, U f) {
lo --; assert(lo <= hi); // assuming f is decreasing
while (lo < hi) { // find first index such that f is true
T mid = half(lo+hi+1);
f(mid) ? lo = mid : hi = mid-1;
}
return lo;
}
template<class T> void remDup(vector<T>& v) {
sort(all(v)); v.erase(unique(all(v)),end(v)); }
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
str ts(bool b) {
#ifdef LOCAL
return b ? "true" : "false";
#else
return ts((int)b);
#endif
}
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
#ifdef LOCAL
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
#else
bool fst = 1; str res = "";
for (const auto& x: v) {
if (!fst) res += " ";
fst = 0; res += ts(x);
}
return res;
#endif
}
template<class A, class B> str ts(pair<A,B> p) {
#ifdef LOCAL
return "("+ts(p.f)+", "+ts(p.s)+")";
#else
return ts(p.f)+" "+ts(p.s);
#endif
}
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL, chk -> fake assert
#define dbg(...) cerr << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#define chk(...) if (!(__VA_ARGS__)) cerr << "Line(" << __LINE__ << ") -> function(" \
<< __FUNCTION__ << ") -> CHK FAILED: (" << #__VA_ARGS__ << ")" << "\n", exit(0);
#else
#define dbg(...) 0
#define chk(...) 0
#endif
// FILE I/O
void setIn(str s) { freopen(s.c_str(),"r",stdin); }
void setOut(str s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { cin.tie(0)->sync_with_stdio(0); }
void setIO(str s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
/**
* Description: modular arithmetic operations
* Source:
* KACTL
* https://codeforces.com/blog/entry/63903
* https://codeforces.com/contest/1261/submission/65632855 (tourist)
* https://codeforces.com/contest/1264/submission/66344993 (ksun)
* also see https://github.com/ecnerwala/cp-book/blob/master/src/modnum.hpp (ecnerwal)
* Verification:
* https://open.kattis.com/problems/modulararithmetic
*/
template<int MOD, int RT> struct mint {
static const int mod = MOD;
static constexpr mint rt() { return RT; } // primitive root for FFT
int v; explicit operator int() const { return v; } // explicit -> don't silently convert to int
mint() { v = 0; }
mint(ll _v) { v = (-MOD < _v && _v < MOD) ? _v : _v % MOD;
if (v < 0) v += MOD; }
friend bool operator==(const mint& a, const mint& b) {
return a.v == b.v; }
friend bool operator!=(const mint& a, const mint& b) {
return !(a == b); }
friend bool operator<(const mint& a, const mint& b) {
return a.v < b.v; }
friend void re(mint& a) { ll x; re(x); a = mint(x); }
friend str ts(mint a) { return ts(a.v); }
mint& operator+=(const mint& m) {
if ((v += m.v) >= MOD) v -= MOD;
return *this; }
mint& operator-=(const mint& m) {
if ((v -= m.v) < 0) v += MOD;
return *this; }
mint& operator*=(const mint& m) {
v = (ll)v*m.v%MOD; return *this; }
mint& operator/=(const mint& m) { return (*this) *= inv(m); }
friend mint pow(mint a, ll p) {
mint ans = 1; assert(p >= 0);
for (; p; p /= 2, a *= a) if (p&1) ans *= a;
return ans; }
friend mint inv(const mint& a) { assert(a.v != 0);
return pow(a,MOD-2); }
mint operator-() const { return mint(-v); }
mint& operator++() { return *this += 1; }
mint& operator--() { return *this -= 1; }
friend mint operator+(mint a, const mint& b) { return a += b; }
friend mint operator-(mint a, const mint& b) { return a -= b; }
friend mint operator*(mint a, const mint& b) { return a *= b; }
friend mint operator/(mint a, const mint& b) { return a /= b; }
};
typedef mint<MOD,5> mi; // 5 is primitive root for both common mods
typedef vector<mi> vmi;
typedef pair<mi,mi> pmi;
typedef vector<pmi> vpmi;
vector<vmi> scmb; // small combinations
void genComb(int SZ) {
scmb.assign(SZ,vmi(SZ)); scmb[0][0] = 1;
FOR(i,1,SZ) F0R(j,i+1)
scmb[i][j] = scmb[i-1][j]+(j?scmb[i-1][j-1]:0);
}
/**
* Description: 1D point update, range query where \texttt{comb} is
* any associative operation. If $N=2^p$ then \texttt{seg[1]==query(0,N-1)}.
* Time: O(\log N)
* Source:
* http://codeforces.com/blog/entry/18051
* KACTL
* Verification: SPOJ Fenwick
*/
template<class T> struct Seg { // comb(ID,b) = b
const T ID = mp(0, 0);
T comb(T a, T b) {
if(a.f < b.f) swap(a, b);
if(a.f == b.f) return mp(a.f, a.s+b.s);
return a;
}
int n; vector<T> seg;
void init(int _n) { n = _n; seg.assign(2*n,ID); }
void pull(int p) { seg[p] = comb(seg[2*p],seg[2*p+1]); }
void upd(int p, T val) { // set val at position p
seg[p += n] = val; for (p /= 2; p; p /= 2) pull(p); }
T query(int l, int r) { // sum on interval [l, r]
T ra = ID, rb = ID;
for (l += n, r += n+1; l < r; l /= 2, r /= 2) {
if (l&1) ra = comb(ra,seg[l++]);
if (r&1) rb = comb(seg[--r],rb);
}
return comb(ra,rb);
}
};
const int mx = 100005;
int a[mx];
int b[mx];
int c[mx];
int d[mx];
pair<int, pair<int, mi>> upd[2*mx];
pair<int, mi> dp[mx];
pair<int, mi> ans = mp(0, 1);
int main() {
setIO();
int N;
cin >> N;
for(int i = 1; i <= N; i++){
cin >> a[i] >> b[i] >> c[i] >> d[i];
}
map<int, int> m;
for(int i = 1; i <= N; i++){
m[a[i]];
m[b[i]];
}
int cnt = 0;
for(auto &u: m){
u.s = ++cnt;
}
for(int i = 1; i <= N; i++){
a[i] = m[a[i]];
b[i] = m[b[i]];
}
m.clear();
for(int i = 1; i <= N; i++){
m[c[i]];
m[d[i]];
}
cnt = 0;
for(auto &u: m){
u.s = ++cnt;
}
for(int i = 1; i <= N; i++){
c[i] = m[c[i]];
d[i] = m[d[i]];
}
m.clear();
vector<pair<pi, pi>> v;
v.pb(mp(mp(-1, -1), mp(-1, -1)));
for(int i = 1; i <= N; i++){
v.pb(mp(mp(a[i], b[i]), mp(c[i], d[i])));
}
sort(all(v));
for(int i = 1; i <= N; i++){
a[i] = v[i].f.f;
b[i] = v[i].f.s;
c[i] = v[i].s.f;
d[i] = v[i].s.s;
}
Seg<pair<int, mi>> seg;
seg.init(2*mx);
for(int i = 0; i < 2*mx; i++){
upd[i].f = -1;
}
dp[0] = mp(0, 1);
upd[0] = mp(0, dp[0]);
int curupd = 0;
for(int i = 1; i <= N; i++){
while(curupd < a[i]){
if(upd[curupd].f != -1){
seg.upd(upd[curupd].f, upd[curupd].s);
}
curupd++;
}
dp[i] = seg.query(0, c[i]-1);
dp[i].f++;
upd[b[i]] = mp(d[i], dp[i]);
}
for(int i = 1; i <= N; i++){
ans = seg.comb(ans, dp[i]);
}
cout << ans.f << " " << ans.s.v << "\n";
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
*/
Compilation message
trapezoid.cpp: In function 'void setIn(str)':
trapezoid.cpp:168:28: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
168 | void setIn(str s) { freopen(s.c_str(),"r",stdin); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
trapezoid.cpp: In function 'void setOut(str)':
trapezoid.cpp:169:29: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
169 | void setOut(str s) { freopen(s.c_str(),"w",stdout); }
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
5 ms |
6636 KB |
Output is correct |
| 2 |
Correct |
5 ms |
6656 KB |
Output is correct |
| 3 |
Correct |
5 ms |
6636 KB |
Output is correct |
| 4 |
Correct |
6 ms |
6784 KB |
Output is correct |
| 5 |
Correct |
9 ms |
6892 KB |
Output is correct |
| 6 |
Correct |
10 ms |
6892 KB |
Output is correct |
| 7 |
Correct |
12 ms |
7020 KB |
Output is correct |
| 8 |
Correct |
15 ms |
7148 KB |
Output is correct |
| 9 |
Correct |
26 ms |
7660 KB |
Output is correct |
| 10 |
Correct |
46 ms |
8812 KB |
Output is correct |
| 11 |
Correct |
60 ms |
9384 KB |
Output is correct |
| 12 |
Correct |
138 ms |
12140 KB |
Output is correct |
| 13 |
Correct |
171 ms |
13184 KB |
Output is correct |
| 14 |
Correct |
197 ms |
14316 KB |
Output is correct |
| 15 |
Correct |
242 ms |
14828 KB |
Output is correct |
| 16 |
Correct |
270 ms |
15468 KB |
Output is correct |
| 17 |
Correct |
260 ms |
12860 KB |
Output is correct |
| 18 |
Correct |
246 ms |
13420 KB |
Output is correct |
| 19 |
Correct |
255 ms |
17004 KB |
Output is correct |
| 20 |
Correct |
299 ms |
14572 KB |
Output is correct |
