oj.uz

Submission #633709

# Submission time Handle Problem Language Result Execution time Memory
633709 2022-08-23T06:28:21 Z 406 Party (INOI20_party) C++17
63 / 100
 3000 ms 1018192 KB 
#include <bits/stdc++.h>
using ll = long long;
using namespace std;

#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 chmx(a, b) a = max(a, b)
#define chmn(a, b) a = min(a, b)
#define pb push_back
//#define gc() (p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
//char buf[1<<21],*p1,*p2;

/*inline int read() {
	ll x = 0, f = 1; char c;
	while(!isdigit(c = gc())) if(c=='-') f=-1;
	while(isdigit(c)) x = (x<<3)+(x<<1)+(c^48), c = gc();
	return x * f;
}
*/
const ll INFL = 1ll << 60;
const int INF = 1 << 29;
const int N = 62;
const int M = 2 * N;
const int MOD = 1e9 + 7;
const int X = 2.6e8;
//const int X = 1e7;

ll d[2][M][M], n;
int ptr, ans, q;
int pw2[X + 1];


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

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

void calc_dist(ll v, ll sub, int lg) {
    for (int k = lg; k < 62; k++) {
        int x = k - lg;
        if ((v << x) > n)
            d[1][ptr][x] = 0;
        else
            d[1][ptr][x] = min(n - (v << x) + 1, ((ll)1 << x));
    }
    if (v > 1) {
        for (int k = 2; k < N; k++)
            d[0][ptr][k] -= d[1][ptr][k - 2];
    }
}

void pass() {
    for (int k = 1; k < M; k++)
        d[0][ptr + 1][k] = d[0][ptr][k - 1] + d[1][ptr][k - 1];
    ptr++;
}

void Complete(ll v, ll sub, int lg) {
    if (v > n) {
        ptr--;
        return;
    }
    //cout << "C: " << v << ' ' << sub << " PTR: " << ptr << '\n';
    calc_dist(v, sub, lg);

    pass();
    Complete(v << 1, sub >> 1, lg + 1);
    q <<= 1;
    if (q >= MOD)
        q -= MOD;

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

void F(ll v, ll sub, int lg) {
    if (v > n) {
        ptr--;
        return;
    }

    if (((sub) & (sub + 1)) == 0) {
        q = 0;
        Complete(v, sub, lg);
        ans += q;
        if (ans >= MOD)
            ans -= MOD;
        return;
    }

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

    ll r = (v << 1) | 1;
    ll l = (v << 1);
    int cntr = 0, cntl = 0;
    
    while (r <= n)
        r <<= 1, cntr++;
    while (l <= n)
        l <<= 1, cntl++;

    if (cntr == cntl) {
        q = 0;
        pass();
        Complete(v << 1, (1ll << cntl) - 1, lg + 1);
        ans += q;
        ans %= MOD;

        pass();
        F((v << 1) | 1, sub - (1ll << cntl), lg + 1);
    }
    else {
        q = 0;
        pass();
        Complete((v << 1) | 1, (1ll << cntr) - 1,lg + 1);

        ans += q;
        if (ans >= MOD)
            ans -= MOD;

        pass();
        F((v << 1), sub - (1ll << cntr), lg + 1);
    }
    

    ll s = 0;
    for (int k = 0; s != n; k++) {
        s += d[0][ptr][k] + d[1][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 <= X; i++) {
        pw2[i] = pw2[i - 1] * 2;
        if (pw2[i] >= MOD)
            pw2[i] -= MOD;
    }

    int query;
    cin >> query;
    while (query--) {
        cin >> n;

        F(1, n, 1);
        ll re = pw(2, 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 1296 ms 1017936 KB Output is correct
2 Correct 1287 ms 1017916 KB Output is correct
3 Correct 1322 ms 1017856 KB Output is correct
4 Correct 1276 ms 1018108 KB Output is correct
5 Correct 1324 ms 1017936 KB Output is correct
6 Correct 1350 ms 1017816 KB Output is correct
7 Correct 1340 ms 1017848 KB Output is correct
8 Correct 1352 ms 1017924 KB Output is correct
9 Correct 1661 ms 1017852 KB Output is correct
10 Correct 1422 ms 1017832 KB Output is correct
11 Correct 1457 ms 1017932 KB Output is correct
12 Correct 1390 ms 1017856 KB Output is correct
13 Correct 1384 ms 1018020 KB Output is correct
14 Correct 1383 ms 1017952 KB Output is correct
15 Correct 1352 ms 1017912 KB Output is correct
16 Correct 1364 ms 1017840 KB Output is correct
17 Correct 1336 ms 1017912 KB Output is correct
18 Correct 1344 ms 1017860 KB Output is correct
19 Correct 1350 ms 1017860 KB Output is correct
20 Correct 1355 ms 1017940 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1328 ms 1018008 KB Output is correct
2 Correct 1342 ms 1018104 KB Output is correct
3 Correct 1438 ms 1017916 KB Output is correct
4 Correct 1433 ms 1017936 KB Output is correct
5 Correct 1415 ms 1017952 KB Output is correct
6 Correct 1473 ms 1018016 KB Output is correct
7 Correct 1468 ms 1017920 KB Output is correct
8 Correct 1415 ms 1017940 KB Output is correct
9 Correct 1463 ms 1017956 KB Output is correct
10 Correct 1483 ms 1017976 KB Output is correct
11 Correct 1565 ms 1017996 KB Output is correct
12 Correct 1739 ms 1018092 KB Output is correct
13 Correct 1741 ms 1018092 KB Output is correct
14 Correct 1565 ms 1017984 KB Output is correct
15 Correct 1535 ms 1018032 KB Output is correct
16 Correct 1601 ms 1017996 KB Output is correct
17 Correct 1552 ms 1017992 KB Output is correct
18 Correct 1752 ms 1018092 KB Output is correct
19 Correct 1856 ms 1018092 KB Output is correct
20 Correct 1584 ms 1018040 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1541 ms 1018032 KB Output is correct
2 Correct 1488 ms 1017992 KB Output is correct
3 Correct 1476 ms 1018032 KB Output is correct
4 Correct 1469 ms 1018032 KB Output is correct
5 Correct 1509 ms 1017964 KB Output is correct
6 Correct 1513 ms 1018044 KB Output is correct
7 Correct 1477 ms 1017944 KB Output is correct
8 Correct 1557 ms 1018040 KB Output is correct
9 Correct 1418 ms 1018008 KB Output is correct
10 Correct 1445 ms 1018040 KB Output is correct
11 Correct 1419 ms 1018032 KB Output is correct
12 Correct 1416 ms 1017952 KB Output is correct
13 Correct 1779 ms 1018008 KB Output is correct
14 Correct 1870 ms 1018048 KB Output is correct
15 Correct 1902 ms 1017924 KB Output is correct
16 Correct 1828 ms 1018028 KB Output is correct
17 Correct 1446 ms 1017996 KB Output is correct
18 Correct 1448 ms 1017940 KB Output is correct
19 Correct 1453 ms 1018080 KB Output is correct
20 Correct 1498 ms 1018032 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1296 ms 1017936 KB Output is correct
2 Correct 1287 ms 1017916 KB Output is correct
3 Correct 1322 ms 1017856 KB Output is correct
4 Correct 1276 ms 1018108 KB Output is correct
5 Correct 1324 ms 1017936 KB Output is correct
6 Correct 1350 ms 1017816 KB Output is correct
7 Correct 1340 ms 1017848 KB Output is correct
8 Correct 1352 ms 1017924 KB Output is correct
9 Correct 1661 ms 1017852 KB Output is correct
10 Correct 1422 ms 1017832 KB Output is correct
11 Correct 1457 ms 1017932 KB Output is correct
12 Correct 1390 ms 1017856 KB Output is correct
13 Correct 1384 ms 1018020 KB Output is correct
14 Correct 1383 ms 1017952 KB Output is correct
15 Correct 1352 ms 1017912 KB Output is correct
16 Correct 1364 ms 1017840 KB Output is correct
17 Correct 1336 ms 1017912 KB Output is correct
18 Correct 1344 ms 1017860 KB Output is correct
19 Correct 1350 ms 1017860 KB Output is correct
20 Correct 1355 ms 1017940 KB Output is correct
21 Correct 1328 ms 1018008 KB Output is correct
22 Correct 1342 ms 1018104 KB Output is correct
23 Correct 1438 ms 1017916 KB Output is correct
24 Correct 1433 ms 1017936 KB Output is correct
25 Correct 1415 ms 1017952 KB Output is correct
26 Correct 1473 ms 1018016 KB Output is correct
27 Correct 1468 ms 1017920 KB Output is correct
28 Correct 1415 ms 1017940 KB Output is correct
29 Correct 1463 ms 1017956 KB Output is correct
30 Correct 1483 ms 1017976 KB Output is correct
31 Correct 1565 ms 1017996 KB Output is correct
32 Correct 1739 ms 1018092 KB Output is correct
33 Correct 1741 ms 1018092 KB Output is correct
34 Correct 1565 ms 1017984 KB Output is correct
35 Correct 1535 ms 1018032 KB Output is correct
36 Correct 1601 ms 1017996 KB Output is correct
37 Correct 1552 ms 1017992 KB Output is correct
38 Correct 1752 ms 1018092 KB Output is correct
39 Correct 1856 ms 1018092 KB Output is correct
40 Correct 1584 ms 1018040 KB Output is correct
41 Correct 1541 ms 1018032 KB Output is correct
42 Correct 1488 ms 1017992 KB Output is correct
43 Correct 1476 ms 1018032 KB Output is correct
44 Correct 1469 ms 1018032 KB Output is correct
45 Correct 1509 ms 1017964 KB Output is correct
46 Correct 1513 ms 1018044 KB Output is correct
47 Correct 1477 ms 1017944 KB Output is correct
48 Correct 1557 ms 1018040 KB Output is correct
49 Correct 1418 ms 1018008 KB Output is correct
50 Correct 1445 ms 1018040 KB Output is correct
51 Correct 1419 ms 1018032 KB Output is correct
52 Correct 1416 ms 1017952 KB Output is correct
53 Correct 1779 ms 1018008 KB Output is correct
54 Correct 1870 ms 1018048 KB Output is correct
55 Correct 1902 ms 1017924 KB Output is correct
56 Correct 1828 ms 1018028 KB Output is correct
57 Correct 1446 ms 1017996 KB Output is correct
58 Correct 1448 ms 1017940 KB Output is correct
59 Correct 1453 ms 1018080 KB Output is correct
60 Correct 1498 ms 1018032 KB Output is correct
61 Correct 1433 ms 1017940 KB Output is correct
62 Correct 1461 ms 1017976 KB Output is correct
63 Correct 2447 ms 1018080 KB Output is correct
64 Correct 2551 ms 1018164 KB Output is correct
65 Correct 2470 ms 1018056 KB Output is correct
66 Correct 2589 ms 1018080 KB Output is correct
67 Correct 2556 ms 1018076 KB Output is correct
68 Correct 2467 ms 1018064 KB Output is correct
69 Correct 2618 ms 1018076 KB Output is correct
70 Correct 2701 ms 1018068 KB Output is correct
71 Correct 1441 ms 1017972 KB Output is correct
72 Correct 1489 ms 1018048 KB Output is correct
73 Correct 1515 ms 1018092 KB Output is correct
74 Correct 1534 ms 1018192 KB Output is correct
75 Execution timed out 3116 ms 1018080 KB Time limit exceeded
76 Halted 0 ms 0 KB -