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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#404651#7782. Ursa Minor-0x3F-WA 564ms30004kbC++145.5kb2024-05-04 12:28:052024-05-04 12:28:06

Judging History

你现在查看的是最新测评结果

  • [2024-05-04 12:28:06]
  • 评测
  • 测评结果:WA
  • 用时:564ms
  • 内存:30004kb
  • [2024-05-04 12:28:05]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
const long long mod = 1000000000000000003;
inline long long qpow(long long a, long long b) {
    long long s = 1;
    while (b) {
        if (b & 1) s = (__int128) s * a % mod;
        a = (__int128) a * a % mod;
        (b >>= 1);
    }
    return s;
}
const long long bas = 1145141919810;
const long long rbas = qpow(bas, mod - 2);
const long long _ = 2e5 + 10;
const long long B = 450;
long long lg[_], pw[_], rpw[_], spw[_];
inline long long gcd(long long x, long long y) {
    while (y) {
        long long z = x % y;
        x = y;
        y = z;
    }
    return x;
}
inline void init(long long n) {
    pw[0] = rpw[0] = spw[0] = 1;
    for (long long i = 1; i <= n; i++) {
        pw[i] = (__int128) pw[i-1] * bas % mod;
        rpw[i] = (__int128) rpw[i-1] * rbas % mod;
        spw[i] = (spw[i-1] + pw[i]) % mod;
    }
    lg[1] = 0;
    for (long long i = 2; i <= n; i++) {
        lg[i] = lg[i-1] + (!(i & (i-1)));
    }
}
long long n, arr[_];
struct node1 {
    long long arr[_], brr[500];
    inline void add(long long x, long long k) {
        arr[x] = (arr[x] + k) % mod;
        long long y = x / B;
        brr[y] = (brr[y] + k) % mod;
    }
    inline long long query(long long l, long long r) {
        long long L = l / B;
        long long R = r / B;
        long long ans = 0;
        if (R - L >= 2) {
            long long ll = (L+1) * B - 1;
            long long rr = R * B;
            for (long long i = l; i <= ll; i++) {
                ans = (ans + arr[i]) % mod;
            }
            for (long long i = L+1; i <= R-1; i++) {
                ans = (ans + brr[i]) % mod;
            }
            for (long long i = rr; i <= r; i++) {
                ans = (ans + arr[i]) % mod;
            }
        } else {
            for (long long i = l; i <= r; i++) {
                ans = (ans + arr[i]) % mod;
            }
        }
        return ans;
    }
} num1[500], num2[500];
struct node2 {
    long long arr[_], brr[500];
    inline void add(long long x, long long k) {
        long long l = x;
        long long r = n;
        long long L = l / B;
        long long R = r / B;
        if (R - L >= 2) {
            long long ll = (L+1) * B - 1;
            long long rr = R * B;
            for (long long i = l; i <= ll; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
            for (long long i = L+1; i <= R-1; i++) {
                brr[i] = (brr[i] + k) % mod;
            }
            for (long long i = rr; i <= r; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
        } else {
            for (long long i = l; i <= r; i++) {
                arr[i] = (arr[i] + k) % mod;
            }
        }
    }
    inline long long query(long long l, long long r) {
        long long ans = (arr[r] + brr[r / B]) % mod;
        if (l != 1) {
            ans = ((ans - arr[l-1] - brr[(l-1) / B]) % mod + mod) % mod;
        }
        return ans;
    }
} num3;
inline void modify(long long x, long long k) {
    long long diff = ((k - arr[x]) % mod + mod) % mod;
    for (long long i = 1; i <= B; i++) {
        num1[i].add(x, (__int128) diff * pw[x % i] % mod);
        if (!(x % i)) num2[i].add(x, diff);
    }
    num3.add(x, (__int128) diff * pw[x] % mod);
    arr[x] = k;
}
inline long long query(long long l, long long r, long long k) {
    if (k <= B) {
        return num1[k].query(l, r);
    } else {
        long long ans = 0;
        for (long long i = l / k; i <= r / k; i++) {
            long long L = max(l, i * k);
            long long R = min(r, (i+1) * k - 1);
            ans = (ans + (__int128) num3.query(L, R) * rpw[i * k]) % mod;
        }
        return ans;
    }
}
inline long long tquery(long long l, long long r, long long k) {
    if (k <= B) {
        return num2[k].query(l, r);
    } else {
        long long ans = 0;
        for (long long i = ((l+k-1) / k) * k; i <= r; i += k) {
            ans = (ans + arr[i]) % mod;
        }
        return ans;
    }
}
long long m, st[20][_];
inline long long calc(long long l, long long r) {
    long long k = lg[r - l + 1];
    return gcd(st[k][l], st[k][r-(1<<k)+1]);
}
int main() {
    init(200000);
    ios::sync_with_stdio(0);
    cin.tie(0);
    long long q;
    cin >> n >> m >> q;
    for (long long i = 1; i <= n; i++) {
        long long x;
        cin >> x;
        modify(i, x);
    }
    for (long long i = 1; i <= m; i++) {
        long long x;
        cin >> x;
        st[0][i] = x;
    }
    for (long long k = 1; k <= lg[n]; k++) {
        for (long long i = 1; i <= n - (1 << k) + 1; i++) {
            st[k][i] = gcd(st[k-1][i], st[k-1][i+(1<<(k-1))]);
        }
    }
    while (q--) {
        char ch;
        cin >> ch;
        switch (ch) {
            case 'Q': {
                long long l, r, s, t;
                cin >> l >> r >> s >> t;
                long long k = gcd(r-l+1, calc(s, t));
                long long sum = query(l, r, k);
                long long tmp = tquery(l, r, k);
                if (sum == (__int128) tmp * spw[k-1] % mod) {
                    cout << "Yes\n";
                } else {
                    cout << "No\n";
                }
                break;
            }
            case 'U': {
                long long p, v;
                cin >> p >> v;
                modify(p, v);
                break;
            }
        }
    }
    cout << flush;
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 4ms
memory: 13460kb

input:

6 4 5
1 1 4 5 1 4
3 3 2 4
Q 1 5 1 2
Q 2 5 3 4
U 5 2
Q 1 6 1 2
Q 2 5 3 4

output:

Yes
No
No
Yes

result:

ok 4 tokens

Test #2:

score: 0
Accepted
time: 8ms
memory: 13396kb

input:

1 1 1
0
1
Q 1 1 1 1

output:

Yes

result:

ok "Yes"

Test #3:

score: 0
Accepted
time: 564ms
memory: 30004kb

input:

2000 2000 200000
1 1 2 0 0 2 0 2 0 0 0 0 0 2 2 1 2 0 0 2 2 2 1 0 1 2 1 2 0 0 1 1 1 2 0 0 2 2 2 2 0 2 0 0 2 1 2 0 0 1 2 2 1 0 2 0 0 0 1 2 2 1 2 2 0 0 1 1 1 0 0 2 0 0 1 1 0 2 2 2 1 0 0 1 0 1 2 2 2 1 1 2 2 1 2 1 0 2 2 3 1 3 2 3 1 0 1 2 0 1 1 1 0 2 2 3 2 0 3 2 3 3 1 2 3 1 2 0 1 0 3 1 0 0 2 0 1 2 1 3 2 2...

output:

Yes
Yes
No
Yes
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No
Yes
Yes
No
No
No
No
No
Yes
No
No
No
Yes
Yes
No
Yes
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
No
Yes
Yes
Yes
No
No
Yes
No
Yes
No
No
No
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
No
Yes
Yes
Yes
No...

result:

ok 100554 tokens

Test #4:

score: 0
Accepted
time: 345ms
memory: 14976kb

input:

1 200000 200000
998244353
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:

Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
Yes
...

result:

ok 100240 tokens

Test #5:

score: -100
Wrong Answer
time: 329ms
memory: 14472kb

input:

6 131072 200000
0 0 0 0 1000000000 1000000000
4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 ...

output:

No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
Yes
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No
No...

result:

wrong answer 1st words differ - expected: 'Yes', found: 'No'