oj.uz

Submission #142614

# Submission time Handle Problem Language Result Execution time Memory
142614 2019-08-10T03:10:40 Z 12tqian Boat (APIO16_boat) C++14
9 / 100
 226 ms 29408 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, (1<<40)){
        int var = 1;
        var += 1;
    }
    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 'int main()':
boat.cpp:122:16: warning: left shift count >= width of type [-Wshift-count-overflow]
     f0r(i, (1<<40)){
                ^
boat.cpp:33:32: note: in definition of macro 'f0r'
 #define f0r(i,a) for(int i=0;i<a;i++)
                                ^
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 100 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 104 ms 8952 KB Output is correct
4 Correct 101 ms 8768 KB Output is correct
5 Correct 102 ms 8824 KB Output is correct
6 Correct 101 ms 8836 KB Output is correct
7 Correct 101 ms 8824 KB Output is correct
8 Correct 100 ms 8824 KB Output is correct
9 Correct 101 ms 8832 KB Output is correct
10 Correct 101 ms 8828 KB Output is correct
11 Correct 100 ms 8824 KB Output is correct
12 Correct 101 ms 8764 KB Output is correct
13 Correct 102 ms 8864 KB Output is correct
14 Correct 101 ms 8936 KB Output is correct
15 Correct 101 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 2168 KB Output is correct
19 Correct 27 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct

Subtask #2
0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 104 ms 8952 KB Output is correct
4 Correct 101 ms 8768 KB Output is correct
5 Correct 102 ms 8824 KB Output is correct
6 Correct 101 ms 8836 KB Output is correct
7 Correct 101 ms 8824 KB Output is correct
8 Correct 100 ms 8824 KB Output is correct
9 Correct 101 ms 8832 KB Output is correct
10 Correct 101 ms 8828 KB Output is correct
11 Correct 100 ms 8824 KB Output is correct
12 Correct 101 ms 8764 KB Output is correct
13 Correct 102 ms 8864 KB Output is correct
14 Correct 101 ms 8936 KB Output is correct
15 Correct 101 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 2168 KB Output is correct
19 Correct 27 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct
21 Runtime error 226 ms 29408 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 79 ms 4088 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 8824 KB Output is correct
2 Correct 101 ms 8824 KB Output is correct
3 Correct 104 ms 8952 KB Output is correct
4 Correct 101 ms 8768 KB Output is correct
5 Correct 102 ms 8824 KB Output is correct
6 Correct 101 ms 8836 KB Output is correct
7 Correct 101 ms 8824 KB Output is correct
8 Correct 100 ms 8824 KB Output is correct
9 Correct 101 ms 8832 KB Output is correct
10 Correct 101 ms 8828 KB Output is correct
11 Correct 100 ms 8824 KB Output is correct
12 Correct 101 ms 8764 KB Output is correct
13 Correct 102 ms 8864 KB Output is correct
14 Correct 101 ms 8936 KB Output is correct
15 Correct 101 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 2168 KB Output is correct
19 Correct 27 ms 2424 KB Output is correct
20 Correct 26 ms 2296 KB Output is correct
21 Runtime error 226 ms 29408 KB Execution killed with signal 11 (could be triggered by violating memory limits)
22 Halted 0 ms 0 KB -