oj.uz

Submission #142618

# Submission time Handle Problem Language Result Execution time Memory
142618 2019-08-10T03:13:04 Z 12tqian Boat (APIO16_boat) C++14
9 / 100
 2000 ms 74956 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;
            }
        }*/
    }
     vi waste;
    f0r(i, (1<<24)){
        int var = 1;
        var += 1;
        waste.eb(var);
    }
    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 258 ms 74952 KB Output is correct
2 Correct 270 ms 74712 KB Output is correct
3 Correct 259 ms 74764 KB Output is correct
4 Correct 253 ms 74776 KB Output is correct
5 Correct 253 ms 74708 KB Output is correct
6 Correct 254 ms 74656 KB Output is correct
7 Correct 255 ms 74772 KB Output is correct
8 Correct 255 ms 74708 KB Output is correct
9 Correct 259 ms 74956 KB Output is correct
10 Correct 256 ms 74776 KB Output is correct
11 Correct 257 ms 74836 KB Output is correct
12 Correct 255 ms 74708 KB Output is correct
13 Correct 254 ms 74708 KB Output is correct
14 Correct 254 ms 74688 KB Output is correct
15 Correct 256 ms 74708 KB Output is correct
16 Correct 184 ms 68100 KB Output is correct
17 Correct 180 ms 68240 KB Output is correct
18 Correct 183 ms 68132 KB Output is correct
19 Correct 185 ms 68380 KB Output is correct
20 Correct 182 ms 68184 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 74952 KB Output is correct
2 Correct 270 ms 74712 KB Output is correct
3 Correct 259 ms 74764 KB Output is correct
4 Correct 253 ms 74776 KB Output is correct
5 Correct 253 ms 74708 KB Output is correct
6 Correct 254 ms 74656 KB Output is correct
7 Correct 255 ms 74772 KB Output is correct
8 Correct 255 ms 74708 KB Output is correct
9 Correct 259 ms 74956 KB Output is correct
10 Correct 256 ms 74776 KB Output is correct
11 Correct 257 ms 74836 KB Output is correct
12 Correct 255 ms 74708 KB Output is correct
13 Correct 254 ms 74708 KB Output is correct
14 Correct 254 ms 74688 KB Output is correct
15 Correct 256 ms 74708 KB Output is correct
16 Correct 184 ms 68100 KB Output is correct
17 Correct 180 ms 68240 KB Output is correct
18 Correct 183 ms 68132 KB Output is correct
19 Correct 185 ms 68380 KB Output is correct
20 Correct 182 ms 68184 KB Output is correct
21 Execution timed out 2056 ms 15864 KB Time limit exceeded
22 Halted 0 ms 0 KB -

Subtask #3
0 / 27.0

# Verdict Execution time Memory Grader output
1 Incorrect 233 ms 69936 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 258 ms 74952 KB Output is correct
2 Correct 270 ms 74712 KB Output is correct
3 Correct 259 ms 74764 KB Output is correct
4 Correct 253 ms 74776 KB Output is correct
5 Correct 253 ms 74708 KB Output is correct
6 Correct 254 ms 74656 KB Output is correct
7 Correct 255 ms 74772 KB Output is correct
8 Correct 255 ms 74708 KB Output is correct
9 Correct 259 ms 74956 KB Output is correct
10 Correct 256 ms 74776 KB Output is correct
11 Correct 257 ms 74836 KB Output is correct
12 Correct 255 ms 74708 KB Output is correct
13 Correct 254 ms 74708 KB Output is correct
14 Correct 254 ms 74688 KB Output is correct
15 Correct 256 ms 74708 KB Output is correct
16 Correct 184 ms 68100 KB Output is correct
17 Correct 180 ms 68240 KB Output is correct
18 Correct 183 ms 68132 KB Output is correct
19 Correct 185 ms 68380 KB Output is correct
20 Correct 182 ms 68184 KB Output is correct
21 Execution timed out 2056 ms 15864 KB Time limit exceeded
22 Halted 0 ms 0 KB -