Submission #142616

# Submission time Handle Problem Language Result Execution time Memory
142616 2019-08-10T03:11:47 Z 12tqian Boat (APIO16_boat) C++14
9 / 100
475 ms 162608 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, (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);
            }
        }
    }
 vi waste;
    f0r(i, (1<<24)){
        int var = 1;
        var += 1;
        waste.eb(var);
    }
   /* 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);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 256 ms 74580 KB Output is correct
2 Correct 256 ms 74660 KB Output is correct
3 Correct 262 ms 74704 KB Output is correct
4 Correct 263 ms 74680 KB Output is correct
5 Correct 256 ms 74728 KB Output is correct
6 Correct 256 ms 74708 KB Output is correct
7 Correct 256 ms 74752 KB Output is correct
8 Correct 257 ms 74744 KB Output is correct
9 Correct 255 ms 74600 KB Output is correct
10 Correct 259 ms 74732 KB Output is correct
11 Correct 256 ms 74720 KB Output is correct
12 Correct 257 ms 74712 KB Output is correct
13 Correct 257 ms 74748 KB Output is correct
14 Correct 256 ms 74708 KB Output is correct
15 Correct 258 ms 74788 KB Output is correct
16 Correct 180 ms 68056 KB Output is correct
17 Correct 183 ms 68184 KB Output is correct
18 Correct 179 ms 68184 KB Output is correct
19 Correct 181 ms 68284 KB Output is correct
20 Correct 183 ms 68208 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 256 ms 74580 KB Output is correct
2 Correct 256 ms 74660 KB Output is correct
3 Correct 262 ms 74704 KB Output is correct
4 Correct 263 ms 74680 KB Output is correct
5 Correct 256 ms 74728 KB Output is correct
6 Correct 256 ms 74708 KB Output is correct
7 Correct 256 ms 74752 KB Output is correct
8 Correct 257 ms 74744 KB Output is correct
9 Correct 255 ms 74600 KB Output is correct
10 Correct 259 ms 74732 KB Output is correct
11 Correct 256 ms 74720 KB Output is correct
12 Correct 257 ms 74712 KB Output is correct
13 Correct 257 ms 74748 KB Output is correct
14 Correct 256 ms 74708 KB Output is correct
15 Correct 258 ms 74788 KB Output is correct
16 Correct 180 ms 68056 KB Output is correct
17 Correct 183 ms 68184 KB Output is correct
18 Correct 179 ms 68184 KB Output is correct
19 Correct 181 ms 68284 KB Output is correct
20 Correct 183 ms 68208 KB Output is correct
21 Runtime error 475 ms 162608 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 235 ms 69928 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 256 ms 74580 KB Output is correct
2 Correct 256 ms 74660 KB Output is correct
3 Correct 262 ms 74704 KB Output is correct
4 Correct 263 ms 74680 KB Output is correct
5 Correct 256 ms 74728 KB Output is correct
6 Correct 256 ms 74708 KB Output is correct
7 Correct 256 ms 74752 KB Output is correct
8 Correct 257 ms 74744 KB Output is correct
9 Correct 255 ms 74600 KB Output is correct
10 Correct 259 ms 74732 KB Output is correct
11 Correct 256 ms 74720 KB Output is correct
12 Correct 257 ms 74712 KB Output is correct
13 Correct 257 ms 74748 KB Output is correct
14 Correct 256 ms 74708 KB Output is correct
15 Correct 258 ms 74788 KB Output is correct
16 Correct 180 ms 68056 KB Output is correct
17 Correct 183 ms 68184 KB Output is correct
18 Correct 179 ms 68184 KB Output is correct
19 Correct 181 ms 68284 KB Output is correct
20 Correct 183 ms 68208 KB Output is correct
21 Runtime error 475 ms 162608 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -