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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#134008 | #4940. Token Distance | dzy521 | WA | 26ms | 17376kb | C++23 | 4.8kb | 2023-08-02 20:25:28 | 2023-08-02 20:25:32 |
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;
#define int ll
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;
}
详细
Test #1:
score: 100
Accepted
time: 2ms
memory: 7540kb
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: 0ms
memory: 7540kb
input:
2 1 0 1000000000 2 1 2
output:
YES
result:
ok single line: 'YES'
Test #3:
score: 0
Accepted
time: 23ms
memory: 14804kb
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 YES YES NO YES YES YES YES YES YES YES YES YES NO YES NO YES YES YES NO YES YES YES YES YES NO YES NO YES YES YES YES YES NO YES NO YES NO YES YES YES YES YES NO YES NO YES NO YES NO YES YES YES YES YES YES YES YES YES NO YES NO YES NO YES YES YES YES Y...
result:
ok 4517 lines
Test #4:
score: 0
Accepted
time: 26ms
memory: 17376kb
input:
81473 13549 994993061 993089286 973546017 983608065 980300695 994305454 992559601 974765838 987574661 988923180 987601637 991357764 981678157 994388630 987066613 976087381 985770922 989296067 975698758 977548300 992236732 978102432 983875296 979745439 977111907 992622264 988921213 987697458 99145442...
output:
NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES...
result:
ok 4517 lines
Test #5:
score: 0
Accepted
time: 25ms
memory: 14880kb
input:
81473 13549 972586964 972586683 972587526 972587245 972588088 972587807 972588650 972588369 972589212 972588931 972589774 972589493 972590336 972590055 972590898 972590617 972591460 972591179 972592022 972591741 972592584 972592303 972593146 972592865 972593708 972593427 972594270 972593989 97259483...
output:
NO NO YES YES NO NO YES NO NO YES NO YES NO NO NO NO NO NO NO YES YES NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO NO YES NO YES YES NO NO NO YES NO NO NO YES NO YES NO YES NO NO NO NO NO NO NO YES NO YES NO NO YES NO NO YES NO NO NO NO NO NO YES YES NO NO NO NO YES NO NO NO NO NO NO YES...
result:
ok 13549 lines
Test #6:
score: -100
Wrong Answer
time: 26ms
memory: 17224kb
input:
81473 13549 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 136351051 13635105...
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 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 NO ...
result:
wrong answer 1st lines differ - expected: 'YES', found: 'NO'