oj.uz

Submission #142604

# Submission time Handle Problem Language Result Execution time Memory
142604 2019-08-10T03:00:31 Z 12tqian Boat (APIO16_boat) C++14
9 / 100
 279 ms 25052 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*3][MAX];
ll choose[3*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, 2048> 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, 3*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]){
            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

# Verdict Execution time Memory Grader output
1 Correct 267 ms 12272 KB Output is correct
2 Correct 274 ms 12328 KB Output is correct
3 Correct 268 ms 12280 KB Output is correct
4 Correct 270 ms 12348 KB Output is correct
5 Correct 270 ms 12280 KB Output is correct
6 Correct 270 ms 12340 KB Output is correct
7 Correct 266 ms 12336 KB Output is correct
8 Correct 273 ms 12332 KB Output is correct
9 Correct 266 ms 12328 KB Output is correct
10 Correct 267 ms 12252 KB Output is correct
11 Correct 275 ms 12420 KB Output is correct
12 Correct 268 ms 12304 KB Output is correct
13 Correct 267 ms 12240 KB Output is correct
14 Correct 279 ms 12280 KB Output is correct
15 Correct 268 ms 12236 KB Output is correct
16 Correct 55 ms 3320 KB Output is correct
17 Correct 61 ms 3448 KB Output is correct
18 Correct 57 ms 3320 KB Output is correct
19 Correct 59 ms 3340 KB Output is correct
20 Correct 58 ms 3320 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 12272 KB Output is correct
2 Correct 274 ms 12328 KB Output is correct
3 Correct 268 ms 12280 KB Output is correct
4 Correct 270 ms 12348 KB Output is correct
5 Correct 270 ms 12280 KB Output is correct
6 Correct 270 ms 12340 KB Output is correct
7 Correct 266 ms 12336 KB Output is correct
8 Correct 273 ms 12332 KB Output is correct
9 Correct 266 ms 12328 KB Output is correct
10 Correct 267 ms 12252 KB Output is correct
11 Correct 275 ms 12420 KB Output is correct
12 Correct 268 ms 12304 KB Output is correct
13 Correct 267 ms 12240 KB Output is correct
14 Correct 279 ms 12280 KB Output is correct
15 Correct 268 ms 12236 KB Output is correct
16 Correct 55 ms 3320 KB Output is correct
17 Correct 61 ms 3448 KB Output is correct
18 Correct 57 ms 3320 KB Output is correct
19 Correct 59 ms 3340 KB Output is correct
20 Correct 58 ms 3320 KB Output is correct
21 Runtime error 279 ms 25052 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 150 ms 6848 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 267 ms 12272 KB Output is correct
2 Correct 274 ms 12328 KB Output is correct
3 Correct 268 ms 12280 KB Output is correct
4 Correct 270 ms 12348 KB Output is correct
5 Correct 270 ms 12280 KB Output is correct
6 Correct 270 ms 12340 KB Output is correct
7 Correct 266 ms 12336 KB Output is correct
8 Correct 273 ms 12332 KB Output is correct
9 Correct 266 ms 12328 KB Output is correct
10 Correct 267 ms 12252 KB Output is correct
11 Correct 275 ms 12420 KB Output is correct
12 Correct 268 ms 12304 KB Output is correct
13 Correct 267 ms 12240 KB Output is correct
14 Correct 279 ms 12280 KB Output is correct
15 Correct 268 ms 12236 KB Output is correct
16 Correct 55 ms 3320 KB Output is correct
17 Correct 61 ms 3448 KB Output is correct
18 Correct 57 ms 3320 KB Output is correct
19 Correct 59 ms 3340 KB Output is correct
20 Correct 58 ms 3320 KB Output is correct
21 Runtime error 279 ms 25052 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -