oj.uz

Submission #633720

# Submission time Handle Problem Language Result Execution time Memory
633720 2022-08-23T07:05:47 Z 406 Party (INOI20_party) C++14
63 / 100
 3000 ms 1018232 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();

        if (calced.count(n)) {
            cout << calced[n] << '\n';
            continue;
        }
        F(1, n);
        ll re = p2(n) - 1;

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

        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 1265 ms 1017932 KB Output is correct
2 Correct 1262 ms 1017980 KB Output is correct
3 Correct 1264 ms 1017864 KB Output is correct
4 Correct 1264 ms 1018048 KB Output is correct
5 Correct 1282 ms 1017856 KB Output is correct
6 Correct 1327 ms 1017836 KB Output is correct
7 Correct 1320 ms 1018020 KB Output is correct
8 Correct 1404 ms 1017936 KB Output is correct
9 Correct 1348 ms 1017900 KB Output is correct
10 Correct 1360 ms 1017992 KB Output is correct
11 Correct 1330 ms 1017948 KB Output is correct
12 Correct 1344 ms 1017900 KB Output is correct
13 Correct 1336 ms 1017924 KB Output is correct
14 Correct 1414 ms 1018012 KB Output is correct
15 Correct 1331 ms 1017924 KB Output is correct
16 Correct 1334 ms 1018000 KB Output is correct
17 Correct 1331 ms 1017932 KB Output is correct
18 Correct 1330 ms 1017996 KB Output is correct
19 Correct 1336 ms 1017920 KB Output is correct
20 Correct 1344 ms 1018048 KB Output is correct

Subtask #2
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1476 ms 1018096 KB Output is correct
2 Correct 1410 ms 1018052 KB Output is correct
3 Correct 1328 ms 1017964 KB Output is correct
4 Correct 1350 ms 1018092 KB Output is correct
5 Correct 1346 ms 1018032 KB Output is correct
6 Correct 1338 ms 1018052 KB Output is correct
7 Correct 1348 ms 1017964 KB Output is correct
8 Correct 1334 ms 1017968 KB Output is correct
9 Correct 1333 ms 1017932 KB Output is correct
10 Correct 1393 ms 1017980 KB Output is correct
11 Correct 1336 ms 1018088 KB Output is correct
12 Correct 1331 ms 1018052 KB Output is correct
13 Correct 1323 ms 1018072 KB Output is correct
14 Correct 1341 ms 1018024 KB Output is correct
15 Correct 1347 ms 1017992 KB Output is correct
16 Correct 1336 ms 1018096 KB Output is correct
17 Correct 1354 ms 1018080 KB Output is correct
18 Correct 1376 ms 1017992 KB Output is correct
19 Correct 1379 ms 1018088 KB Output is correct
20 Correct 1343 ms 1018024 KB Output is correct

Subtask #3
33.0 / 33.0

# Verdict Execution time Memory Grader output
1 Correct 1480 ms 1018104 KB Output is correct
2 Correct 1504 ms 1018096 KB Output is correct
3 Correct 1529 ms 1018036 KB Output is correct
4 Correct 2008 ms 1017952 KB Output is correct
5 Correct 1486 ms 1017960 KB Output is correct
6 Correct 1519 ms 1018012 KB Output is correct
7 Correct 1472 ms 1018012 KB Output is correct
8 Correct 1463 ms 1017976 KB Output is correct
9 Correct 1439 ms 1017940 KB Output is correct
10 Correct 1571 ms 1017948 KB Output is correct
11 Correct 1444 ms 1017956 KB Output is correct
12 Correct 1432 ms 1017924 KB Output is correct
13 Correct 1417 ms 1018028 KB Output is correct
14 Correct 1448 ms 1017972 KB Output is correct
15 Correct 1428 ms 1018000 KB Output is correct
16 Correct 1411 ms 1017972 KB Output is correct
17 Correct 1491 ms 1018044 KB Output is correct
18 Correct 1395 ms 1018088 KB Output is correct
19 Correct 1437 ms 1018048 KB Output is correct
20 Correct 1412 ms 1018012 KB Output is correct

Subtask #4
0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 1265 ms 1017932 KB Output is correct
2 Correct 1262 ms 1017980 KB Output is correct
3 Correct 1264 ms 1017864 KB Output is correct
4 Correct 1264 ms 1018048 KB Output is correct
5 Correct 1282 ms 1017856 KB Output is correct
6 Correct 1327 ms 1017836 KB Output is correct
7 Correct 1320 ms 1018020 KB Output is correct
8 Correct 1404 ms 1017936 KB Output is correct
9 Correct 1348 ms 1017900 KB Output is correct
10 Correct 1360 ms 1017992 KB Output is correct
11 Correct 1330 ms 1017948 KB Output is correct
12 Correct 1344 ms 1017900 KB Output is correct
13 Correct 1336 ms 1017924 KB Output is correct
14 Correct 1414 ms 1018012 KB Output is correct
15 Correct 1331 ms 1017924 KB Output is correct
16 Correct 1334 ms 1018000 KB Output is correct
17 Correct 1331 ms 1017932 KB Output is correct
18 Correct 1330 ms 1017996 KB Output is correct
19 Correct 1336 ms 1017920 KB Output is correct
20 Correct 1344 ms 1018048 KB Output is correct
21 Correct 1476 ms 1018096 KB Output is correct
22 Correct 1410 ms 1018052 KB Output is correct
23 Correct 1328 ms 1017964 KB Output is correct
24 Correct 1350 ms 1018092 KB Output is correct
25 Correct 1346 ms 1018032 KB Output is correct
26 Correct 1338 ms 1018052 KB Output is correct
27 Correct 1348 ms 1017964 KB Output is correct
28 Correct 1334 ms 1017968 KB Output is correct
29 Correct 1333 ms 1017932 KB Output is correct
30 Correct 1393 ms 1017980 KB Output is correct
31 Correct 1336 ms 1018088 KB Output is correct
32 Correct 1331 ms 1018052 KB Output is correct
33 Correct 1323 ms 1018072 KB Output is correct
34 Correct 1341 ms 1018024 KB Output is correct
35 Correct 1347 ms 1017992 KB Output is correct
36 Correct 1336 ms 1018096 KB Output is correct
37 Correct 1354 ms 1018080 KB Output is correct
38 Correct 1376 ms 1017992 KB Output is correct
39 Correct 1379 ms 1018088 KB Output is correct
40 Correct 1343 ms 1018024 KB Output is correct
41 Correct 1480 ms 1018104 KB Output is correct
42 Correct 1504 ms 1018096 KB Output is correct
43 Correct 1529 ms 1018036 KB Output is correct
44 Correct 2008 ms 1017952 KB Output is correct
45 Correct 1486 ms 1017960 KB Output is correct
46 Correct 1519 ms 1018012 KB Output is correct
47 Correct 1472 ms 1018012 KB Output is correct
48 Correct 1463 ms 1017976 KB Output is correct
49 Correct 1439 ms 1017940 KB Output is correct
50 Correct 1571 ms 1017948 KB Output is correct
51 Correct 1444 ms 1017956 KB Output is correct
52 Correct 1432 ms 1017924 KB Output is correct
53 Correct 1417 ms 1018028 KB Output is correct
54 Correct 1448 ms 1017972 KB Output is correct
55 Correct 1428 ms 1018000 KB Output is correct
56 Correct 1411 ms 1017972 KB Output is correct
57 Correct 1491 ms 1018044 KB Output is correct
58 Correct 1395 ms 1018088 KB Output is correct
59 Correct 1437 ms 1018048 KB Output is correct
60 Correct 1412 ms 1018012 KB Output is correct
61 Correct 1426 ms 1017836 KB Output is correct
62 Correct 1433 ms 1017948 KB Output is correct
63 Correct 2742 ms 1018100 KB Output is correct
64 Execution timed out 3129 ms 1018232 KB Time limit exceeded
65 Halted 0 ms 0 KB -