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답안 #142619

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
142619 2019-08-10T03:13:28 Z 12tqian Boat (APIO16_boat) C++14
9 / 100
 2000 ms 15980 KB 
#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#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>

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

const double PI = 4 * atan(1);

#define sz(x) (int)(x).size()
#define ll long long
#define ld long double
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define pii pair <int, int>
#define vi vector<int>
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define vpi vector<pair<int, int>>
#define vpd vector<pair<double, double>>
#define pd pair<double, double>

#define f0r(i,a) for(int i=0;i<a;i++)
#define f1r(i,a,b) for(int i=a;i<b;i++)
#define trav(a, x) for (auto& a : x)

void fast_io(){
    ios_base::sync_with_stdio(0);
    cin.tie(NULL);
    cout.tie(NULL);
}
void io(string taskname){
    string fin = taskname + ".in";
    string fout = taskname + ".out";
    const char* FIN = fin.c_str();
    const char* FOUT = fout.c_str();
    freopen(FIN, "r", stdin);
    freopen(FOUT, "w", stdout);
    fast_io();
}
const ll MOD = 1e9 + 7;
const int MAX = 505;
vector<pair<ll, ll>> bounds;
vector<pair<ll, ll>> ranges;
ll dp[MAX*6][MAX];
ll choose[6*MAX][MAX];
vi possible[MAX];

template<class T, int SZ> struct Seg { // SZ should be power of 2
    T ID = 0; // comb(ID,b) must equal b
    T comb(T a, T b) {
        return (a+b)%MOD;
    } // easily change this to min or max

    T seg[2*SZ];
    Seg() { memset(seg,0,sizeof seg); }


    void upd(int p, T value) {  // set value at position p
        seg[p += SZ] = value;
        for (p /= 2; p; p /= 2) seg[p] = comb(seg[2*p],seg[2*p+1]);
    }

    T query(int l, int r) {  // sum on interval [l, r]
        r ++; T lres = ID, rres = ID; // make sure non-commutative operations work
        for (l += SZ, r += SZ; l < r; l /= 2, r /= 2) {
            if (l&1) lres = comb(lres,seg[l++]);
            if (r&1) rres = comb(seg[--r],rres);
        }
        return comb(lres,rres);
    }
};
Seg<ll, (1<<15)> seg;



long long modInverse(long long b){
    long long ex = MOD - 2;
    if (b==1){
        return 1;
    }
    long long r = 1;
    while (ex ){
        if (ex&1){
            r=(r * b)%MOD;
        }
        ex = ex >> 1;
        b = (b * b)%MOD;
    }
    return r;
}
int main(){
    fast_io();
    int n;
    cin >> n;
    set<ll> nums;
    f0r(i, n){
        int ai, bi;
        cin >> ai >> bi;
        bounds.eb(mp(ai, bi));
        nums.insert(ai);
        nums.insert(bi);
    }

    vi tmp;
    for(auto x: nums) tmp.eb(x);
    f0r(i, sz(tmp) -1){
        if(tmp[i+1]-tmp[i]>1) ranges.eb(tmp[i]+1, tmp[i+1]-1);
    }
    for(auto x: tmp) ranges.eb(mp(x, x));
    sort(all(ranges));

    f0r(i, sz(ranges)){
        f0r(j, MAX){
            if(j == 0){
                choose[i][j] = 1;
            }
            else{
                choose[i][j] = choose[i][j-1];
                choose[i][j] *= (ranges[i].s - ranges[i].f+1 -j+ 1);
                choose[i][j] %= MOD;
                choose[i][j] *= modInverse(j);
                choose[i][j] %= MOD;
            }
        }
    }
    f0r(i, n){
        f0r(j, sz(ranges)){
            if(bounds[i].f<= ranges[j].f && bounds[i].s>= ranges[j].s){
                possible[i].eb(j);
            }
        }
    }

   /* f0r(i, sz(ranges)){
        cout << ranges[i].f << " " << ranges[i].s << endl;
    }*/
    f0r(i, n){
        unordered_map<int, ll> change;
        for(int j: possible[i]){
            for(int t = n; t>= 1; t--){
                if(t == 1){
                    dp[j][1] = (j == 0? 0:seg.query(0, j-1)) + 1;
                    change[j] += (dp[j][1]*choose[j][1])%MOD;
                    change[j] %= MOD;
                    continue;
                }
                dp[j][t] = dp[j][t-1];
                change[j] += (dp[j][t]*choose[j][t])%MOD;
                change[j] %= MOD;

            }

        }
        for(int j: possible[i]){
            assert(j<= (1<<15));
            seg.upd(j, seg.query(j, j)+  change[j]);
        }
     /*   for(int j: possible[i]){
            f1r(t, 1, n+1){
                cout << i << " " << j << " " << t << ": "  << dp[j][t] << endl;
            }
        }*/
    }
    cout << seg.query(0, sz(ranges) - 1) << endl;
    return 0;
}

Compilation message

boat.cpp:1:0: warning: ignoring #pragma comment  [-Wunknown-pragmas]
 #pragma comment(linker, "/stack:200000000")
 
boat.cpp: In function 'void io(std::__cxx11::string)':
boat.cpp:47:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen(FIN, "r", stdin);
     ~~~~~~~^~~~~~~~~~~~~~~~~
boat.cpp:48:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen(FOUT, "w", stdout);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# 결과 실행 시간 메모리 Grader output
1 Correct 101 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 100 ms 8824 KB Output is correct
4 Correct 101 ms 8824 KB Output is correct
5 Correct 103 ms 8824 KB Output is correct
6 Correct 101 ms 8800 KB Output is correct
7 Correct 100 ms 8824 KB Output is correct
8 Correct 102 ms 8824 KB Output is correct
9 Correct 101 ms 8824 KB Output is correct
10 Correct 101 ms 8824 KB Output is correct
11 Correct 101 ms 8876 KB Output is correct
12 Correct 101 ms 8780 KB Output is correct
13 Correct 101 ms 8824 KB Output is correct
14 Correct 101 ms 8952 KB Output is correct
15 Correct 100 ms 8824 KB Output is correct
16 Correct 25 ms 2296 KB Output is correct
17 Correct 27 ms 2424 KB Output is correct
18 Correct 26 ms 2296 KB Output is correct
19 Correct 28 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct

Subtask #2
0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 101 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 100 ms 8824 KB Output is correct
4 Correct 101 ms 8824 KB Output is correct
5 Correct 103 ms 8824 KB Output is correct
6 Correct 101 ms 8800 KB Output is correct
7 Correct 100 ms 8824 KB Output is correct
8 Correct 102 ms 8824 KB Output is correct
9 Correct 101 ms 8824 KB Output is correct
10 Correct 101 ms 8824 KB Output is correct
11 Correct 101 ms 8876 KB Output is correct
12 Correct 101 ms 8780 KB Output is correct
13 Correct 101 ms 8824 KB Output is correct
14 Correct 101 ms 8952 KB Output is correct
15 Correct 100 ms 8824 KB Output is correct
16 Correct 25 ms 2296 KB Output is correct
17 Correct 27 ms 2424 KB Output is correct
18 Correct 26 ms 2296 KB Output is correct
19 Correct 28 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct
21 Execution timed out 2039 ms 15980 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# 결과 실행 시간 메모리 Grader output
1 Incorrect 80 ms 4088 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# 결과 실행 시간 메모리 Grader output
1 Correct 101 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 100 ms 8824 KB Output is correct
4 Correct 101 ms 8824 KB Output is correct
5 Correct 103 ms 8824 KB Output is correct
6 Correct 101 ms 8800 KB Output is correct
7 Correct 100 ms 8824 KB Output is correct
8 Correct 102 ms 8824 KB Output is correct
9 Correct 101 ms 8824 KB Output is correct
10 Correct 101 ms 8824 KB Output is correct
11 Correct 101 ms 8876 KB Output is correct
12 Correct 101 ms 8780 KB Output is correct
13 Correct 101 ms 8824 KB Output is correct
14 Correct 101 ms 8952 KB Output is correct
15 Correct 100 ms 8824 KB Output is correct
16 Correct 25 ms 2296 KB Output is correct
17 Correct 27 ms 2424 KB Output is correct
18 Correct 26 ms 2296 KB Output is correct
19 Correct 28 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct
21 Execution timed out 2039 ms 15980 KB Time limit exceeded
22 Halted 0 ms 0 KB -