QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#134007 | #4940. Token Distance | dzy521 | WA | 20ms | 15220kb | C++23 | 4.8kb | 2023-08-02 20:24:11 | 2023-08-02 20:24:15 |
Judging History
answer
#define _CRT_SEstartE_NO_DEPRECATE
#pragma warning(disable : 4996)
#include <map>
#include <unordered_map>
#include <set>
#include <fstream>
#include <queue>
#include <deque>
#include <stack>
#include <vector>
#include <string>
#include <iostream>
#include <algorithm>
#include <iterator>
#include <bitset>
#include <cstring>
#include <cstdio>
#include <cmath>
#include <cstdio>
#include <bits/stdc++.h>
#define ACcode ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0);
typedef long long ll;
typedef unsigned long long ull;
const ll maxn = 1e5 + 7;
const ll maxm = 1e7 + 5e6 + 7;
constexpr ll mod = 1e9 + 7;
const ll inf = 0x3f3f3f3f;
const ll INF = 0x3f3f3f3f3f3f3f3f;
const int Prime = 100007;
const double eps = 1e-5;
const double pi = acos(-1.0);
using namespace std;
ll a[maxn][2];
struct node
{
ll mx, mi, sum;
friend node operator+(const node &a, const node &b)
{
node now;
now.mx = max(a.mx, b.mx);
now.mi = min(a.mi, b.mi);
now.sum = a.sum + b.sum;
return now;
}
} tree[maxn << 2];
void build(int k, int l, int r)
{
if (l == r)
{
tree[k] = {a[l][0], a[l][0], a[l][0]};
return;
}
int mid = l + r >> 1;
build(k << 1, l, mid);
build(k << 1 | 1, mid + 1, r);
tree[k] = tree[k << 1] + tree[k << 1 | 1];
}
void change(int k, int l, int r, int pos, ll x)
{
if (l == r)
{
tree[k] = {x, x, x};
return;
}
int mid = l + r >> 1;
if (pos <= mid)
change(k << 1, l, mid, pos, x);
else
change(k << 1 | 1, mid + 1, r, pos, x);
tree[k] = tree[k << 1] + tree[k << 1 | 1];
}
node query(int k, int l, int r, int ql, int qr)
{
if (l >= ql && r <= qr)
return tree[k];
int mid = l + r >> 1;
if (qr <= mid)
return query(k << 1, l, mid, ql, qr);
else if (ql > mid)
return query(k << 1 | 1, mid + 1, r, ql, qr);
else
return query(k << 1, l, mid, ql, qr) + query(k << 1 | 1, mid + 1, r, ql, qr);
}
struct SEG
{
ll sum[maxn << 2];
void build(int k, int l, int r)
{
if (l == r)
{
sum[k] = a[l][1];
return;
}
int mid = l + r >> 1;
build(k << 1, l, mid);
build(k << 1 | 1, mid + 1, r);
sum[k] = (sum[k << 1] + sum[k << 1 | 1]) % mod;
}
void change(int k, int l, int r, int pos, ll x)
{
if (l == r)
{
sum[k] = x;
return;
}
int mid = l + r >> 1;
if (pos <= mid)
change(k << 1, l, mid, pos, x);
else
change(k << 1 | 1, mid + 1, r, pos, x);
sum[k] = (sum[k << 1] + sum[k << 1 | 1]) % mod;
}
ll query(int k, int l, int r, int ql, int qr)
{
if (l >= ql && r <= qr)
return sum[k];
int mid = l + r >> 1;
if (qr <= mid)
return query(k << 1, l, mid, ql, qr);
else if (ql > mid)
return query(k << 1 | 1, mid + 1, r, ql, qr);
else
return (query(k << 1, l, mid, ql, qr) + query(k << 1 | 1, mid + 1, r, ql, qr)) % mod;
}
} seg;
ll qpow(ll a, ll b)
{
ll ans = 1;
while (b)
{
if (b & 1)
ans = (ans * a) % mod;
a = (a * a) % mod, b >>= 1;
}
return ans;
}
void solve()
{
int n, m;
cin >> n >> m;
for (int i = 1; i <= n; i++)
cin >> a[i][0], a[i][1] = qpow(2, a[i][0]);
build(1, 1, n);
seg.build(1, 1, n);
for (int i = 1; i <= m; i++)
{
ll ope, l, r;
cin >> ope >> l >> r;
if (ope == 1)
{
change(1, 1, n, l, r);
seg.change(1, 1, n, l, qpow(2, r));
}
else
{
auto [mx, mi, sum] = query(1, 1, n, l, r);
ll realsum = seg.query(1, 1, n, l, r);
int len = r - l + 1;
ll d1 = 2 * (sum - len * mi), d2 = len * (len - 1);
if (d1 % d2 != 0)
{
cout << "NO" << '\n';
continue;
}
ll d = d1 / d2 % mod;
ll q = qpow(2, d), a1 = qpow(2, mi);
if (q == 1)
{
cout << (sum * 2 % mod == realsum % mod ? "YES" : "NO") << '\n';
continue;
}
ll nowsum = a1 * ((1 - qpow(q, len) + mod) % mod) % mod * qpow((1 - q + mod) % mod, mod - 2) % mod;
cout << (nowsum == realsum ? "YES" : "NO") << '\n';
}
}
}
signed main()
{
ACcode;
// freopen("house.in", "r", stdin);
// freopen("house.out", "w", stdout);
int t = 1;
// cin >> t;
while (t--)
{
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 7584kb
input:
5 7 1 1 1 10 1 2 1 3 2 1 5 1 5 4 1 3 7 2 2 4 2 2 5 2 4 5
output:
YES NO NO YES YES
result:
ok 5 lines
Test #2:
score: 0
Accepted
time: 1ms
memory: 5544kb
input:
2 1 0 1000000000 2 1 2
output:
YES
result:
ok single line: 'YES'
Test #3:
score: -100
Wrong Answer
time: 20ms
memory: 15220kb
input:
81473 13549 972586683 972586964 972587245 972587526 972587807 972588088 972588369 972588650 972588931 972589212 972589493 972589774 972590055 972590336 972590617 972590898 972591179 972591460 972591741 972592022 972592303 972592584 972592865 972593146 972593427 972593708 972593989 972594270 97259455...
output:
YES YES YES YES NO YES YES YES YES YES YES YES NO YES NO YES YES YES YES YES YES YES YES YES NO NO NO NO YES YES NO YES YES YES YES YES NO YES NO YES YES NO YES YES NO YES NO YES NO YES YES NO YES YES NO YES NO YES NO YES NO YES YES YES YES YES YES YES YES YES NO YES NO NO NO YES YES YES YES YES YES...
result:
wrong answer 13th lines differ - expected: 'YES', found: 'NO'