Submission #102259

#TimeUsernameProblemLanguageResultExecution timeMemory
102259BenqBitaro, who Leaps through Time (JOI19_timeleap)C++14
100 / 100
1059 ms78072 KiB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)

#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound

#define sz(x) (int)x.size()
#define beg(x) x.begin()
#define en(x) x.end()
#define all(x) beg(x), en(x)
#define resz resize

const int MOD = 1000000007; // 998244353
const ll INF = 1e18;
const int MX = 1<<19;
const ld PI = 4*atan((ld)1);

template<class T> void ckmin(T &a, T b) { a = min(a, b); }
template<class T> void ckmax(T &a, T b) { a = max(a, b); }

template<class A, class B> A operator+=(A& l, const B& r) { return l = l+r; }
template<class A, class B> A operator-=(A& l, const B& r) { return l = l-r; }
template<class A, class B> A operator*=(A& l, const B& r) { return l = l*r; }
template<class A, class B> A operator/=(A& l, const B& r) { return l = l/r; }

namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);

    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class Arg, class... Args> void re(Arg& first, Args&... rest) { 
        re(first); re(rest...); 
    }

    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}

using namespace input;

namespace output {
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T, size_t SZ> void pr(const array<T,SZ>& x);
    template<class T> void pr(const vector<T>& x);
    template<class T> void pr(const set<T>& x);
    template<class T1, class T2> void pr(const map<T1,T2>& x);

    template<class T> void pr(const T& x) { cout << x; }
    template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) { 
        pr(first); pr(rest...); 
    }

    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void prContain(const T& x) {
        pr("{");
        bool fst = 1; trav(a,x) pr(!fst?", ":"",a), fst = 0; 
        pr("}");
    }
    template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
    template<class T> void pr(const vector<T>& x) { prContain(x); }
    template<class T> void pr(const set<T>& x) { prContain(x); }
    template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
    
    void ps() { pr("\n"); } 
    template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) { 
        pr(first," "); ps(rest...); // print w/ spaces
    }
}

using namespace output;

namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        ios_base::sync_with_stdio(0); cin.tie(0); // fast I/O
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}

using namespace io;

template<class T> T invGeneral(T a, T b) {
    a %= b; if (a == 0) return b == 1 ? 0 : -1;
    T x = invGeneral(b,a); 
    return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}

template<class T> struct modInt {
    T val;
    T mod = 0;
    // static const T mod = MOD;

    void normalize() {
        if (mod == 0) return;
        val %= mod; if (val < 0) val += mod;
    }
    modInt(T v = 0, T m = 0) : val(v), mod(m) { normalize(); }
    // modInt(T v = 0, T m = 0) : val(v) { normalize(); }

    explicit operator T() const { return val; }
    friend ostream& operator<<(ostream& os, const modInt& a) { return os << a.val; }
    friend bool operator==(const modInt& a, const modInt& b) { return a.val == b.val; }
    friend bool operator!=(const modInt& a, const modInt& b) { return !(a == b); }

    friend void check(modInt& a, modInt& b) { // make sure all operations are valid
        // comment out if mod is static const
        if (a.mod > 0 && b.mod > 0) { assert(a.mod == b.mod); return; }
        T mod = max(a.mod,b.mod); if (mod == 0) mod = MOD;
        if (a.mod != mod) { a.mod = mod; a.normalize(); }
        if (b.mod != mod) { b.mod = mod; b.normalize(); }
    }
    friend modInt operator+(modInt a, modInt b) {
        check(a,b); a.val += (T)b;
        if (a.val >= a.mod) a.val -= a.mod;
        return a;
    }
    friend modInt operator-(modInt a, modInt b) {
        check(a,b); a.val -= (T)b; 
        if (a.val < 0) a.val += a.mod; 
        return a;
    }
    friend modInt operator-(const modInt& a) { return modInt(0)-a; }

    friend modInt operator*(modInt a, modInt b) {
        check(a,b); a.val = (ll)a.val*(T)b%a.mod; return a;
    }
    friend modInt exp(modInt a, ll p) {
        modInt ans(1,a.mod);
        for (; p; p /= 2, a *= a) if (p&1) ans *= a;
        return ans;
    }
    friend modInt inv(const modInt& a) {
        return {invGeneral(a.val,a.mod),a.mod};
        // return exp(b,b.mod-2) if prime
    }
    friend modInt operator/(modInt a, modInt b) { 
        check(a,b); return a*inv(b); 
    }
};

typedef modInt<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

struct road {
    ll ftime, fprice; // if start at t=-infty
    ll tinc, pinc; // time starts increasing, price remains the same or price starts increasing, time remains same 
    road() {
        ftime = -INF, fprice = 0;
        tinc = -INF, pinc = INF;
    }
    road(ll s, ll e) {
        ftime = s+1, fprice = 0;
        tinc = s, pinc = e-1;
    }
    ll getTime(ll x) { return ftime+max(0LL,min(pinc,x)-tinc); }
    ll getPrice(ll x) { return fprice+max(0LL,x-pinc); }
    friend void pr(const road& r) { pr("{",r.ftime,", ", r.fprice, " | ", r.tinc, ", ",r.pinc,"}"); }
};

road operator+(road l, road r) {
    road a;
    a.ftime = r.getTime(l.ftime);
    a.fprice = l.fprice+r.getPrice(l.ftime);
    if (l.ftime <= r.tinc) {
        if (l.ftime+l.pinc-l.tinc <= r.tinc) {
            a.tinc = a.pinc = l.pinc;
        } else if (l.ftime+l.pinc-l.tinc <= r.pinc) {
            a.tinc = l.tinc+r.tinc-l.ftime; a.pinc = l.pinc;
        } else {
            a.tinc = l.tinc+r.tinc-l.ftime; 
            a.pinc = l.pinc-(l.ftime+l.pinc-l.tinc-r.pinc);
        }
    } else if (l.ftime <= r.pinc) {
        a.tinc = l.tinc;
        if (l.ftime+l.pinc-l.tinc <= r.pinc) {
            a.pinc = l.pinc;
        } else {
            a.pinc = l.pinc-(l.ftime+l.pinc-l.tinc-r.pinc);
        }
    } else {
        a.tinc = a.pinc = l.tinc;
    }
    return a;
}

int N,Q,L[MX],R[MX];

template<class T, int SZ> struct Seg { // SZ should be power of 2
    T seg[2*SZ][2], ID = road();

    Seg() { F0R(i,2*SZ) F0R(j,2) seg[i][j] = road(); }
    T comb(T a, T b) { return a+b; }
    // easily change this to min or max
    // comb(ID,b) must equal b

    void build() { F0Rd(i,SZ) seg[i] = comb(seg[2*i],seg[2*i+1]); }

    void upd(int p) {  // set value at position p
        p += SZ;
        
        for (seg[p][0] = seg[p][1] = road(L[p-SZ],R[p-SZ]); p > 1; p >>= 1) {
            seg[p>>1][0] = comb(seg[(p|1)^1][0],seg[p|1][0]);
            seg[p>>1][1] = comb(seg[p|1][1],seg[(p|1)^1][1]);
            // ps("HA",p,seg[p>>1][0],seg[(p|1)^1][0],seg[p][0]);
        }
            // make sure non-commutative operations work
    }

    T query(int l, int r, int ind) {  // sum on interval [l, r]
        T res1 = ID, res2 = ID; r++;
        if (ind == 0) {
            for (l += SZ, r += SZ; l < r; l >>= 1, r >>= 1) {
                if (l&1) res1 = comb(res1,seg[l++][0]);
                if (r&1) res2 = comb(seg[--r][0],res2);
            }
            return comb(res1,res2);
        } else {
            for (l += SZ, r += SZ; l < r; l >>= 1, r >>= 1) {
                if (l&1) res1 = comb(seg[l++][1],res1);
                if (r&1) res2 = comb(res2,seg[--r][1]);
            }
            return comb(res2,res1);
        }
    }
};

Seg<road,MX> SS;

int main() {
    setIO(); re(N,Q);
    FOR(i,1,N) {
        re(L[i],R[i]);
        // ps("??",L[i],R[i]);
        SS.upd(i);
    }
    // ps(SS.seg[4+MX][0]+SS.seg[3+MX][0]+SS.seg[2+MX][0]+SS.seg[1+MX][0]);
    /*exit(0);
    ps(SS.query(1,1,0),SS.query(1,2,0));
    auto z = road(0,5);
    ps(z,z.getTime(0), z.getTime(5), z.getPrice(0), z.getPrice(5));
    z = z+z;
    ps(z);*/
    F0R(i,Q) {
        int T; re(T);
        if (T == 1) {
            int P,S,E; re(P,S,E);
            L[P] = S, R[P] = E;
            SS.upd(P);
        } else {
            int A,B,C,D; re(A,B,C,D);
            road r;
            if (A <= C) {
                r = SS.query(A,C-1,0);
            } else {
                r = SS.query(C,A-1,1);
            }
            // ps("WHAT",r);
            // ps("WHAT",A,C-1,r);
            pl z = {r.getTime(B), r.getPrice(B)};
            z.s += max(0LL,z.f-D);
            ps(z.s);
        }
    }
}

/* stuff you should look for
    * int overflow, array bounds
    * special cases (n=1?), set tle
    * do smth instead of nothing and stay organized
*/

Compilation message (stderr)

timeleap.cpp: In function 'void io::setIn(std::__cxx11::string)':
timeleap.cpp:117:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
timeleap.cpp: In function 'void io::setOut(std::__cxx11::string)':
timeleap.cpp:118:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
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