oj.uz

Submission #633723

# Submission time Handle Problem Language Result Execution time Memory
633723 2022-08-23T07:08:58 Z 406 Party (INOI20_party) C++17
63 / 100
 3000 ms 1018304 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 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 X = 2.6e8;

ll d[2][M][M];
ll n;
int ptr, ans, q;
int pw2[X + 1];
//unordered_map<ll, int> calced;

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 = pw(pw2[X], b / X) * pw2[b % X];
    return a % 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)
            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];
    }
}

inline 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) {
    if (v > n) {
        ptr--;
        return;
    }
    //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 += d[0][ptr][k] + d[1][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) {
    if (v > n) {
        ptr--;
        return;
    }

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

    //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;
            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 += 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 = read();
    //cin >> query;
    while (query--) {
        //cin >> n;
        n = read();

        F(1, n);
        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 1263 ms 1018020 KB Output is correct
2 Correct 1265 ms 1017940 KB Output is correct
3 Correct 1280 ms 1017900 KB Output is correct
4 Correct 1272 ms 1018044 KB Output is correct
5 Correct 1262 ms 1017836 KB Output is correct
6 Correct 1481 ms 1017988 KB Output is correct
7 Correct 1280 ms 1017976 KB Output is correct
8 Correct 1286 ms 1018028 KB Output is correct
9 Correct 1308 ms 1017860 KB Output is correct
10 Correct 1268 ms 1017968 KB Output is correct
11 Correct 1305 ms 1018140 KB Output is correct
12 Correct 1286 ms 1017880 KB Output is correct
13 Correct 1358 ms 1017968 KB Output is correct
14 Correct 1385 ms 1017952 KB Output is correct
15 Correct 1468 ms 1017904 KB Output is correct
16 Correct 1483 ms 1017888 KB Output is correct
17 Correct 1553 ms 1017916 KB Output is correct
18 Correct 1410 ms 1017884 KB Output is correct
19 Correct 1407 ms 1017904 KB Output is correct
20 Correct 1330 ms 1017952 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1344 ms 1018016 KB Output is correct
2 Correct 1300 ms 1018136 KB Output is correct
3 Correct 1274 ms 1018020 KB Output is correct
4 Correct 1289 ms 1018104 KB Output is correct
5 Correct 1309 ms 1018036 KB Output is correct
6 Correct 1300 ms 1018044 KB Output is correct
7 Correct 1302 ms 1017952 KB Output is correct
8 Correct 1486 ms 1018008 KB Output is correct
9 Correct 1298 ms 1017932 KB Output is correct
10 Correct 1335 ms 1018120 KB Output is correct
11 Correct 1471 ms 1018048 KB Output is correct
12 Correct 1423 ms 1018080 KB Output is correct
13 Correct 1406 ms 1018156 KB Output is correct
14 Correct 1447 ms 1018192 KB Output is correct
15 Correct 1429 ms 1018012 KB Output is correct
16 Correct 1423 ms 1018088 KB Output is correct
17 Correct 1428 ms 1018172 KB Output is correct
18 Correct 1438 ms 1018108 KB Output is correct
19 Correct 1447 ms 1018296 KB Output is correct
20 Correct 1440 ms 1018084 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1482 ms 1017948 KB Output is correct
2 Correct 1504 ms 1017924 KB Output is correct
3 Correct 1467 ms 1018048 KB Output is correct
4 Correct 1532 ms 1017932 KB Output is correct
5 Correct 1548 ms 1018040 KB Output is correct
6 Correct 1527 ms 1017920 KB Output is correct
7 Correct 1509 ms 1018140 KB Output is correct
8 Correct 1672 ms 1018080 KB Output is correct
9 Correct 1283 ms 1017936 KB Output is correct
10 Correct 1313 ms 1017936 KB Output is correct
11 Correct 1328 ms 1018012 KB Output is correct
12 Correct 1309 ms 1017972 KB Output is correct
13 Correct 1743 ms 1018188 KB Output is correct
14 Correct 1739 ms 1018056 KB Output is correct
15 Correct 1751 ms 1017924 KB Output is correct
16 Correct 1767 ms 1017932 KB Output is correct
17 Correct 1329 ms 1018064 KB Output is correct
18 Correct 1312 ms 1018224 KB Output is correct
19 Correct 1302 ms 1018108 KB Output is correct
20 Correct 1322 ms 1018084 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1263 ms 1018020 KB Output is correct
2 Correct 1265 ms 1017940 KB Output is correct
3 Correct 1280 ms 1017900 KB Output is correct
4 Correct 1272 ms 1018044 KB Output is correct
5 Correct 1262 ms 1017836 KB Output is correct
6 Correct 1481 ms 1017988 KB Output is correct
7 Correct 1280 ms 1017976 KB Output is correct
8 Correct 1286 ms 1018028 KB Output is correct
9 Correct 1308 ms 1017860 KB Output is correct
10 Correct 1268 ms 1017968 KB Output is correct
11 Correct 1305 ms 1018140 KB Output is correct
12 Correct 1286 ms 1017880 KB Output is correct
13 Correct 1358 ms 1017968 KB Output is correct
14 Correct 1385 ms 1017952 KB Output is correct
15 Correct 1468 ms 1017904 KB Output is correct
16 Correct 1483 ms 1017888 KB Output is correct
17 Correct 1553 ms 1017916 KB Output is correct
18 Correct 1410 ms 1017884 KB Output is correct
19 Correct 1407 ms 1017904 KB Output is correct
20 Correct 1330 ms 1017952 KB Output is correct
21 Correct 1344 ms 1018016 KB Output is correct
22 Correct 1300 ms 1018136 KB Output is correct
23 Correct 1274 ms 1018020 KB Output is correct
24 Correct 1289 ms 1018104 KB Output is correct
25 Correct 1309 ms 1018036 KB Output is correct
26 Correct 1300 ms 1018044 KB Output is correct
27 Correct 1302 ms 1017952 KB Output is correct
28 Correct 1486 ms 1018008 KB Output is correct
29 Correct 1298 ms 1017932 KB Output is correct
30 Correct 1335 ms 1018120 KB Output is correct
31 Correct 1471 ms 1018048 KB Output is correct
32 Correct 1423 ms 1018080 KB Output is correct
33 Correct 1406 ms 1018156 KB Output is correct
34 Correct 1447 ms 1018192 KB Output is correct
35 Correct 1429 ms 1018012 KB Output is correct
36 Correct 1423 ms 1018088 KB Output is correct
37 Correct 1428 ms 1018172 KB Output is correct
38 Correct 1438 ms 1018108 KB Output is correct
39 Correct 1447 ms 1018296 KB Output is correct
40 Correct 1440 ms 1018084 KB Output is correct
41 Correct 1482 ms 1017948 KB Output is correct
42 Correct 1504 ms 1017924 KB Output is correct
43 Correct 1467 ms 1018048 KB Output is correct
44 Correct 1532 ms 1017932 KB Output is correct
45 Correct 1548 ms 1018040 KB Output is correct
46 Correct 1527 ms 1017920 KB Output is correct
47 Correct 1509 ms 1018140 KB Output is correct
48 Correct 1672 ms 1018080 KB Output is correct
49 Correct 1283 ms 1017936 KB Output is correct
50 Correct 1313 ms 1017936 KB Output is correct
51 Correct 1328 ms 1018012 KB Output is correct
52 Correct 1309 ms 1017972 KB Output is correct
53 Correct 1743 ms 1018188 KB Output is correct
54 Correct 1739 ms 1018056 KB Output is correct
55 Correct 1751 ms 1017924 KB Output is correct
56 Correct 1767 ms 1017932 KB Output is correct
57 Correct 1329 ms 1018064 KB Output is correct
58 Correct 1312 ms 1018224 KB Output is correct
59 Correct 1302 ms 1018108 KB Output is correct
60 Correct 1322 ms 1018084 KB Output is correct
61 Correct 1289 ms 1018060 KB Output is correct
62 Correct 1286 ms 1018012 KB Output is correct
63 Correct 2472 ms 1018084 KB Output is correct
64 Correct 2450 ms 1018072 KB Output is correct
65 Correct 2494 ms 1018136 KB Output is correct
66 Correct 2527 ms 1018076 KB Output is correct
67 Correct 2960 ms 1018304 KB Output is correct
68 Correct 2501 ms 1018064 KB Output is correct
69 Correct 2457 ms 1018020 KB Output is correct
70 Correct 2504 ms 1018140 KB Output is correct
71 Correct 1349 ms 1018040 KB Output is correct
72 Correct 1360 ms 1018112 KB Output is correct
73 Correct 1432 ms 1018200 KB Output is correct
74 Correct 1422 ms 1018208 KB Output is correct
75 Execution timed out 3116 ms 1018108 KB Time limit exceeded
76 Halted 0 ms 0 KB -