oj.uz

답안 #396102

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
396102 2021-04-29T12:58:09 Z MarcoMeijer Fish (IOI08_fish) C++14
100 / 100
 1685 ms 28200 KB 
#include <bits/stdc++.h>
using namespace std;
 
// macros
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;
typedef pair<ll, ll> lll;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
typedef vector<lll> vlll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define FOR(a,b) for(auto& a : b)
#define all(a) a.begin(), a.end()
#define INF 1e18
#define EPS 1e-9
#define pb push_back
#define popb pop_back
#define fi first
#define se second
 
// input
template<class T> void IN(T& x) {cin >> x;}
template<class H, class... T> void IN(H& h, T&... t) {IN(h); IN(t...); }
 
// output
template<class T1, class T2> void OUT(const pair<T1,T2>& x);
template<class T> void OUT(const vector<T>& x);
template<class T> void OUT(const T& x) {cout << x;}
template<class H, class... T> void OUT(const H& h, const T&... t) {OUT(h); OUT(t...); }
template<class T1, class T2> void OUT(const pair<T1,T2>& x) {OUT(x.fi,' ',x.se);}
template<class T> void OUT(const vector<T>& x) {RE(i,x.size()) OUT(i==0?"":" ",x[i]);}
template<class... T> void OUTL(const T&... t) {OUT(t..., "\n"); }
template<class H> void OUTLS(const H& h) {OUTL(h); }
template<class H, class... T> void OUTLS(const H& h, const T&... t) {OUT(h,' '); OUTLS(t...); }
 
// dp
template<class T> bool ckmin(T&a, T&b) { bool bl = a > b; a = min(a,b); return bl;}
template<class T> bool ckmax(T&a, T&b) { bool bl = a < b; a = max(a,b); return bl;}
 
void program();
int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cout.tie(NULL);
    program();
}
 
 
//===================//
//   begin program   //
//===================//
 
const int MX = 1e6;
const int N = (1<<20);
 
int n, k, mod;
int l[MX], g[MX];
int sl[MX];
int mxGemCnt[MX];
vi gemCnt, firstUsed, lastChanged;
vi sk, rk;

int SEG[N*2];
void setSeg(int i, int x, int l=0, int r=N-1, int p=1) {
    if(i < l || i > r) return;
    if(l == r) {
        SEG[p] = x%mod;
        return;
    }
    int m=(l+r)/2;
    setSeg(i,x,l  ,m,p*2  );
    setSeg(i,x,m+1,r,p*2+1);
    SEG[p] = (SEG[p*2]*SEG[p*2+1])%mod;
}
int getSeg(int i, int j, int l=0, int r=N-1, int p=1) {
    if(j < l || i > r) return 1;
    if(i <= l && j >= r) return SEG[p];
    int m=(l+r)/2;
    int a=getSeg(i,j,l  ,m,p*2  );
    int b=getSeg(i,j,m+1,r,p*2+1);
    return (a*b)%mod;
}
int getBiggerFirstUsed(int x) {
    int lb=0, ub=k-1;
    while(lb != ub) {
        int mid=(lb+ub+1)/2;
        if(firstUsed[sk[mid]] > x) ub=mid-1;
        else lb=mid;
    }
    return getSeg(0,lb);
}


void program() {
    IN(n,k,mod);
    RE(i,n) IN(l[i], g[i]), g[i]--;
    RE(i,n) sl[i] = i;
    sort(sl,sl+n,[](int i, int j) {
        return l[i]<l[j];
    });
 
    // initial gem cnt
    gemCnt.assign(k,0), firstUsed.assign(k,0), lastChanged.assign(k,n);
    RE(i,n) gemCnt[g[i]]++;
 
    // sorted k
    REV(i,0,n)
        if(firstUsed[g[sl[i]]] == 0)
            firstUsed[g[sl[i]]] = i;
    RE(i,k) sk.pb(i);
    sort(all(sk), [](int i, int j) {return firstUsed[i] < firstUsed[j];});
    firstUsed = vi(k,0);
    rk.assign(k,0);
    RE(i,k) rk[sk[i]] = i;

    RE(i,k) setSeg(rk[i],gemCnt[i]+1);


    int lb=n-1;
    int ans=0;
    REV(i,0,n) {
        int cg = g[sl[i]];
        while(lb != -1 && l[sl[lb]]*2 > l[sl[i]]) {
            int gem = g[sl[lb--]];
            gemCnt[gem]--, lastChanged[gem] = i;
            setSeg(rk[gem], gemCnt[gem] + 1);
        }

        if(firstUsed[cg] == 0) {
            // this is the longest fish with gem cg
            // it must have zero of the gems that larger fish have, or...
            setSeg(rk[cg], gemCnt[cg]);
            ll curWays = getBiggerFirstUsed(0);
            setSeg(rk[cg], gemCnt[cg]+1);
            ans = (ans + curWays)%mod;

            // or it should have more gems of type cg, than the other fish could eat
            setSeg(rk[cg], 1);
            curWays = getBiggerFirstUsed(lastChanged[cg]);
            setSeg(rk[cg], gemCnt[cg]+1);
            ans = (ans + curWays)%mod;

            // mark this gem type as used
            firstUsed[cg] = i;
        }
    }
 
    OUTL(ans);
}

Subtask #1
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct

Subtask #2
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #3
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct

Subtask #4
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #5
4.0 / 4.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 332 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 332 KB Output is correct
2 Correct 310 ms 6260 KB Output is correct

Subtask #7
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 336 KB Output is correct

Subtask #8
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 332 KB Output is correct

Subtask #9
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 122 ms 2724 KB Output is correct
2 Correct 151 ms 3332 KB Output is correct

Subtask #10
6.0 / 6.0

# 결과 실행 시간 메모리 Grader output
1 Correct 6 ms 460 KB Output is correct
2 Correct 6 ms 508 KB Output is correct
3 Correct 7 ms 520 KB Output is correct

Subtask #11
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 207 ms 3868 KB Output is correct
2 Correct 379 ms 6276 KB Output is correct
3 Correct 365 ms 6328 KB Output is correct

Subtask #12
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 278 ms 6292 KB Output is correct
2 Correct 375 ms 6444 KB Output is correct

Subtask #13
7.0 / 7.0

# 결과 실행 시간 메모리 Grader output
1 Correct 203 ms 4016 KB Output is correct
2 Correct 417 ms 6556 KB Output is correct

Subtask #14
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 366 ms 6024 KB Output is correct

Subtask #15
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 441 ms 6788 KB Output is correct

Subtask #16
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 412 ms 6340 KB Output is correct
2 Correct 646 ms 16928 KB Output is correct

Subtask #17
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 809 ms 9716 KB Output is correct
2 Correct 637 ms 12632 KB Output is correct

Subtask #18
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 730 ms 9744 KB Output is correct
2 Correct 771 ms 16796 KB Output is correct
3 Correct 867 ms 18400 KB Output is correct
4 Correct 722 ms 16712 KB Output is correct

Subtask #19
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 979 ms 11760 KB Output is correct
2 Correct 1557 ms 27160 KB Output is correct
3 Correct 1685 ms 28200 KB Output is correct
4 Correct 1511 ms 25244 KB Output is correct