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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#736419 | #9543. Good Partitions | dddfff | WA | 131ms | 16384kb | C++23 | 5.0kb | 2024-11-12 10:55:07 | 2024-11-12 10:55:15 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define endl '\n'
typedef pair<int, int> PII;
const int N = 2e5 + 10;
const int mod = 1e9 + 7;
const int INF = 0x3f3f3f3f;
int T;
#define ls u << 1
#define rs u << 1 | 1
struct tree
{
int l, r, w, lazy;
} tr[N * 4];
int n, m, a[N], len[N];
int gcd(int a, int b)
{
return b ? gcd(b, a % b) : a;
}
void pushup(int u)
{
tr[u].w = gcd(tr[ls].w, tr[rs].w);
}
void pushdown(int u)
{
if (tr[u].lazy)
{
tr[ls].w = tr[rs].w = tr[u].lazy;
tr[ls].lazy = tr[rs].lazy = tr[u].lazy;
tr[u].lazy = 0;
}
}
void build(int u, int l, int r)
{
if (l == r)
{
tr[u] = {l, l, len[l], 0};
return;
}
tr[u] = {l, r, 0, 0};
long long mid = (l + r) >> 1;
build(ls, l, mid);
build(rs, mid + 1, r);
pushup(u);
}
void update(int u, int l, int r, int v)
{
if (tr[u].l >= l && tr[u].r <= r)
{
tr[u].w = v;
tr[u].lazy = v;
return;
}
else
{
pushdown(u);
int mid = (tr[u].l + tr[u].r) >> 1;
if (l <= mid)
update(ls, l, r, v);
if (r > mid)
update(rs, l, r, v);
pushup(u);
}
}
int ask(int u, int l, int r)
{
if (l > r)
{
return 0;
}
if (tr[u].l >= l && tr[u].r <= r)
{
return tr[u].w;
}
else
{
pushdown(u);
int mid = (tr[u].l + tr[u].r) >> 1;
int ans = 0;
if (l <= mid)
ans = gcd(ans, ask(ls, l, r));
if (r > mid)
ans = gcd(ans, ask(rs, l, r));
return ans;
}
}
vector<int> p;
bool np[N];
int cnt[N];
void init()
{
for (int i = 1; i <= 200000; ++i)
for (int j = 1; j * i <= 200000; ++j)
cnt[i * j]++;
}
set<int> st;
int rpos[N];
void solve()
{
// code
cin >> n >> m;
for (int i = 1; i <= n; i++)
{
cin >> a[i];
}
for (int i = 1; i <= n; i++)
{
int j = i;
while (j + 1 <= n && a[j] <= a[j + 1])
{
j++;
}
for (int k = i; k <= j; k++)
{
len[k] = (j - i + 1);
}
st.insert(i);
rpos[i] = j;
i = j;
}
build(1, 1, n);
int l = *st.rbegin();
int g = ask(1, 1, l - 1);
if (g == 0)
{
cout << n << '\n';
}
else
{
cout << cnt[g] << '\n';
}
while (m--)
{
int pos, v;
cin >> pos >> v;
a[pos] = v;
auto nl = st.lower_bound(pos);
int l = *nl, r = rpos[l];
if (l <= pos - 1)
{
rpos[l] = pos - 1;
update(1, l, pos - 1, pos - l);
}
rpos[pos] = pos;
update(1, pos, pos, 1);
if (pos + 1 <= r)
{
st.insert(pos + 1);
rpos[pos + 1] = r;
update(1, pos + 1, r, r - pos);
}
nl = st.lower_bound(pos);
auto en = st.end();
en--;
if (nl == st.begin() && nl == en)
{
cout << 1 << '\n';
continue;
}
if (nl == st.begin())
{
auto rq = nl;
rq++;
int rl = *rq, rr = rpos[rl];
if (a[pos] <= a[rl])
{
st.erase(rl);
rpos[pos] = rr;
update(1, pos, rr, rr - pos + 1);
}
}
else if (nl == en)
{
auto lq = nl;
lq--;
int ll = *lq, lr = rpos[ll];
if (a[pos] >= a[lr])
{
st.erase(pos);
rpos[ll] = pos;
update(1, ll, pos, pos - ll + 1);
}
}
else
{
auto lq = nl;
lq--;
auto rq = nl;
rq++;
int l1 = *lq, l2 = rpos[l1];
int r1 = *rq, r2 = rpos[r1];
if (a[pos] >= a[l2] && a[pos] <= a[r1])
{
st.erase(pos);
st.erase(r1);
rpos[l1] = r2;
update(1, l1, r2, r2 - l1 + 1);
}
else if (a[pos] >= a[l2])
{
st.erase(pos);
rpos[l1] = pos;
update(1, l1, pos, pos - l1 + 1);
}
else if (a[pos] <= a[r1])
{
st.erase(r1);
rpos[pos] = r2;
update(1, pos, r2, r2 - pos + 1);
}
}
int x = *st.rbegin();
int g = ask(1, 1, x - 1);
if (g == 0)
{
cout << n << '\n';
}
else
{
cout << cnt[g] << '\n';
}
}
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
init();
int T = 1;
cin >> T;
while (T--)
{
solve();
}
return 0;
}
Details
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Test #1:
score: 100
Accepted
time: 3ms
memory: 7808kb
input:
1 5 2 4 3 2 6 1 2 5 3 5
output:
1 2 3
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 3ms
memory: 6404kb
input:
1 1 1 2000000000 1 1999999999
output:
1 1
result:
ok 2 lines
Test #3:
score: -100
Wrong Answer
time: 131ms
memory: 16384kb
input:
1 200000 200000 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 ...
output:
160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 160 ...
result:
wrong answer 2nd lines differ - expected: '200000', found: '160'