oj.uz

Submission #633828

# Submission time Handle Problem Language Result Execution time Memory
633828 2022-08-23T09:31:20 Z 406 Party (INOI20_party) C++17
63 / 100
 3000 ms 1356 KB 
#include <bits/stdc++.h>
using ll = long long;
using namespace std;
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#define forn(a, b) for (int a = 0; a < (b); a++)
#define rofn(a, b) for (int a = (b) - 1; a >= 0; a--)
#define LOG(a) (63 - __builtin_clzll(a))
#define gc() (pt1==pt2&&(pt2=(pt1=buf)+fread(buf,1,1<<21,stdin),pt1==pt2)?EOF:*pt1++)
char buf[1<<21],*pt1,*pt2;

inline ll read() {
	ll x = 0;char c;
	while(!isdigit(c = gc()));
	while(isdigit(c)) x = (x<<3)+(x<<1)+(c^48), c = gc();
	return x;
}

const ll INFL = 1ll << 60;
const int INF = 1 << 29;
const int N = 61;
const int M = 2 * N;
const int MOD = 1e9 + 7;
const int X1 = 1e5;
const int X2 = 1e5;

ll d0[M][M], d1[M][M];
ll n;
int ptr, ans, q, cnt;
int pw2[X1 + 1], hwt[X2 + 1];

inline ll pw(ll a, int b) {
    ll re = 1;
    while (b) {
        if (b & 1)
            re = (re * a) % MOD;
        a = (a * a) % MOD;
        b >>= 1;
    }
    return re;
}

inline int p2(ll b) {
    b %= (MOD - 1);
    /*
    ll a = 1;
    while (b > X) {
        a = (a * pw2[X]) % MOD;
        b -= X;
    }
    return a * pw2[b] % MOD;
    */
    return 1ll * hwt[b / X1] * pw2[b % X1] % MOD;
}

void calc_dist(ll v) {
    for (int k = LOG(v) + 1; k < N; k++) {
        int x = k - LOG(v) - 1;
        if ((v << x) > n)
            d1[ptr][x] = 0;
        else 
            d1[ptr][x] = min(n - (v << x) + 1, ((ll)1 << x));
    }
    if (v > 1) {
        for (int k = 2; k < N; k++)
            d0[ptr][k] -= d1[ptr][k - 2];
    }
}

inline void pass() {
    for (int k = 1; k < M; k++)
        d0[ptr + 1][k] = d0[ptr][k - 1] + d1[ptr][k - 1];
    ptr++;
}

void Complete(ll v) {
    //cout << "C: " << v << ' ' << sub << " PTR: " << ptr << '\n';
    calc_dist(v);

    if ((v << 1) <= n) {
        pass();
        Complete(v << 1);
        q <<= 1;
        if (q >= MOD)
            q -= MOD;
    }

    ll s = 0;
    for (int k = 0; s != n; k++) {
        s += d0[ptr][k] + d1[ptr][k];
        q += p2(n - s) - 1;
        if (q >= MOD)
            q -= MOD;
    }
    ptr--;
}

inline int solve(ll a, ll b) {
    int x = LOG(b) - LOG(a);
    a <<= x;
    return x + (a <= b);
}

void F(ll v, ll sub) {

    //cout << "F: " << v << ' ' << sub << " PTR: " << ptr << '\n';
    calc_dist(v);

    ll r = (v << 1) | 1;
    ll l = (v << 1);
    int cntr = solve(r, n), cntl = solve(l, n);

    if (cntr == cntl) {
        q = 0;
        if ((v << 1) <= n) {
            pass();
            Complete(v << 1);
            ans += q;
            if (ans >= MOD)
                ans -= MOD;
        }

        if (((v << 1) | 1) <= n) {
            pass();
            F((v << 1) | 1, sub - (1ll << cntl));
        }
    }
    else {
        if (((v << 1) | 1) <= n) {
            q = 0;
            pass();
            Complete((v << 1) | 1);
            ans += q;
            if (ans >= MOD)
                ans -= MOD;
        }
        if ((v << 1) <= n) {
            pass();
            F((v << 1), sub - (1ll << cntr));
        }
    }
    

    ll s = 0;
    for (int k = 0; s != n; k++) {
        s += d0[ptr][k] + d1[ptr][k];
        ans += p2(n - s) - 1;
        if (ans >= MOD)
            ans -= MOD;
    }
    ptr--;
}

signed main() {
    ios::sync_with_stdio(0), cin.tie(0);

    pw2[0] = 1;
    for (int i = 1; i <= X1; i++) {
        pw2[i] = pw2[i - 1] << 1;
        if (pw2[i] >= MOD)
            pw2[i] -= MOD;
    }
    hwt[0] = 1;
    for (int i = 1; i <= X2; i++) {
        hwt[i] = (1ll * hwt[i - 1] * pw2[X1]) % MOD;
    }

    int query = read();
    //cin >> query;
    while (query--) {
        //cin >> n;
        n = read();
        if (n & (n + 1))
            F(1, n);
        else {
            q = 0;
            Complete(1);
            ans = q;
        }
        ll re = p2(n) - 1;

        ans = (ans * pw(re, MOD - 2)) % MOD;
        cout << ans << '\n';

        ans = q = ptr = 0;
    }
    return 0;
}
//assert
//yaddasht
//nim saat dar ye vaziat
//checkpoint
//f ha ro benvisim

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1028 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 4 ms 1160 KB Output is correct
12 Correct 4 ms 1108 KB Output is correct
13 Correct 12 ms 1164 KB Output is correct
14 Correct 17 ms 1156 KB Output is correct
15 Correct 14 ms 1148 KB Output is correct
16 Correct 13 ms 1152 KB Output is correct
17 Correct 12 ms 1108 KB Output is correct
18 Correct 11 ms 1108 KB Output is correct
19 Correct 18 ms 1152 KB Output is correct
20 Correct 12 ms 1164 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1236 KB Output is correct
2 Correct 5 ms 1236 KB Output is correct
3 Correct 5 ms 1240 KB Output is correct
4 Correct 4 ms 1236 KB Output is correct
5 Correct 5 ms 1236 KB Output is correct
6 Correct 5 ms 1244 KB Output is correct
7 Correct 5 ms 1236 KB Output is correct
8 Correct 5 ms 1240 KB Output is correct
9 Correct 5 ms 1244 KB Output is correct
10 Correct 5 ms 1236 KB Output is correct
11 Correct 86 ms 1236 KB Output is correct
12 Correct 87 ms 1276 KB Output is correct
13 Correct 85 ms 1268 KB Output is correct
14 Correct 87 ms 1272 KB Output is correct
15 Correct 83 ms 1236 KB Output is correct
16 Correct 102 ms 1236 KB Output is correct
17 Correct 99 ms 1276 KB Output is correct
18 Correct 83 ms 1276 KB Output is correct
19 Correct 83 ms 1280 KB Output is correct
20 Correct 88 ms 1356 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 1232 KB Output is correct
2 Correct 86 ms 1236 KB Output is correct
3 Correct 67 ms 1236 KB Output is correct
4 Correct 71 ms 1108 KB Output is correct
5 Correct 77 ms 1236 KB Output is correct
6 Correct 77 ms 1240 KB Output is correct
7 Correct 79 ms 1236 KB Output is correct
8 Correct 83 ms 1236 KB Output is correct
9 Correct 4 ms 1236 KB Output is correct
10 Correct 6 ms 1240 KB Output is correct
11 Correct 11 ms 1244 KB Output is correct
12 Correct 10 ms 1248 KB Output is correct
13 Correct 266 ms 1236 KB Output is correct
14 Correct 267 ms 1236 KB Output is correct
15 Correct 263 ms 1236 KB Output is correct
16 Correct 264 ms 1236 KB Output is correct
17 Correct 274 ms 1236 KB Output is correct
18 Correct 260 ms 1236 KB Output is correct
19 Correct 284 ms 1236 KB Output is correct
20 Correct 287 ms 1236 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 1108 KB Output is correct
2 Correct 2 ms 1108 KB Output is correct
3 Correct 2 ms 1108 KB Output is correct
4 Correct 2 ms 1108 KB Output is correct
5 Correct 2 ms 1108 KB Output is correct
6 Correct 2 ms 1028 KB Output is correct
7 Correct 2 ms 1108 KB Output is correct
8 Correct 2 ms 1108 KB Output is correct
9 Correct 2 ms 1108 KB Output is correct
10 Correct 2 ms 1108 KB Output is correct
11 Correct 4 ms 1160 KB Output is correct
12 Correct 4 ms 1108 KB Output is correct
13 Correct 12 ms 1164 KB Output is correct
14 Correct 17 ms 1156 KB Output is correct
15 Correct 14 ms 1148 KB Output is correct
16 Correct 13 ms 1152 KB Output is correct
17 Correct 12 ms 1108 KB Output is correct
18 Correct 11 ms 1108 KB Output is correct
19 Correct 18 ms 1152 KB Output is correct
20 Correct 12 ms 1164 KB Output is correct
21 Correct 5 ms 1236 KB Output is correct
22 Correct 5 ms 1236 KB Output is correct
23 Correct 5 ms 1240 KB Output is correct
24 Correct 4 ms 1236 KB Output is correct
25 Correct 5 ms 1236 KB Output is correct
26 Correct 5 ms 1244 KB Output is correct
27 Correct 5 ms 1236 KB Output is correct
28 Correct 5 ms 1240 KB Output is correct
29 Correct 5 ms 1244 KB Output is correct
30 Correct 5 ms 1236 KB Output is correct
31 Correct 86 ms 1236 KB Output is correct
32 Correct 87 ms 1276 KB Output is correct
33 Correct 85 ms 1268 KB Output is correct
34 Correct 87 ms 1272 KB Output is correct
35 Correct 83 ms 1236 KB Output is correct
36 Correct 102 ms 1236 KB Output is correct
37 Correct 99 ms 1276 KB Output is correct
38 Correct 83 ms 1276 KB Output is correct
39 Correct 83 ms 1280 KB Output is correct
40 Correct 88 ms 1356 KB Output is correct
41 Correct 72 ms 1232 KB Output is correct
42 Correct 86 ms 1236 KB Output is correct
43 Correct 67 ms 1236 KB Output is correct
44 Correct 71 ms 1108 KB Output is correct
45 Correct 77 ms 1236 KB Output is correct
46 Correct 77 ms 1240 KB Output is correct
47 Correct 79 ms 1236 KB Output is correct
48 Correct 83 ms 1236 KB Output is correct
49 Correct 4 ms 1236 KB Output is correct
50 Correct 6 ms 1240 KB Output is correct
51 Correct 11 ms 1244 KB Output is correct
52 Correct 10 ms 1248 KB Output is correct
53 Correct 266 ms 1236 KB Output is correct
54 Correct 267 ms 1236 KB Output is correct
55 Correct 263 ms 1236 KB Output is correct
56 Correct 264 ms 1236 KB Output is correct
57 Correct 274 ms 1236 KB Output is correct
58 Correct 260 ms 1236 KB Output is correct
59 Correct 284 ms 1236 KB Output is correct
60 Correct 287 ms 1236 KB Output is correct
61 Correct 1 ms 1108 KB Output is correct
62 Correct 8 ms 1236 KB Output is correct
63 Correct 735 ms 1252 KB Output is correct
64 Correct 713 ms 1252 KB Output is correct
65 Correct 731 ms 1252 KB Output is correct
66 Correct 730 ms 1240 KB Output is correct
67 Correct 764 ms 1264 KB Output is correct
68 Correct 804 ms 1248 KB Output is correct
69 Correct 763 ms 1260 KB Output is correct
70 Correct 743 ms 1252 KB Output is correct
71 Correct 32 ms 1252 KB Output is correct
72 Correct 34 ms 1256 KB Output is correct
73 Correct 102 ms 1268 KB Output is correct
74 Correct 88 ms 1276 KB Output is correct
75 Correct 2882 ms 1276 KB Output is correct
76 Correct 2761 ms 1260 KB Output is correct
77 Execution timed out 3079 ms 1276 KB Time limit exceeded
78 Halted 0 ms 0 KB -