QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#736403 | #9543. Good Partitions | dddfff | TL | 203ms | 23908kb | C++23 | 5.5kb | 2024-11-12 10:47:40 | 2024-11-12 10:47:40 |
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;
}
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];
void init()
{
for (int i = 2; i < N; i++)
{
if (!np[i])
{
p.push_back(i);
}
for (auto j : p)
{
if (i * j >= N)
{
break;
}
np[i * j] = true;
if (i % j == 0)
{
break;
}
}
}
}
int getans(int x)
{
int ans = 1;
for (auto i : p)
{
int num = 0;
while (x != 1 && x % i == 0)
{
num++;
x /= i;
}
ans *= num + 1;
if (x == 1)
{
break;
}
}
return ans;
}
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);
auto l = *st.rbegin();
int g = ask(1, 1, l - 1);
if (g == 0)
{
cout << n << '\n';
}
else
{
cout << getans(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);
}
st.insert(pos);
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 << getans(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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 0ms
memory: 5712kb
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: 0ms
memory: 5768kb
input:
1 1 1 2000000000 1 1999999999
output:
1 1
result:
ok 2 lines
Test #3:
score: 0
Accepted
time: 147ms
memory: 14972kb
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 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160 200000 160...
result:
ok 200001 lines
Test #4:
score: 0
Accepted
time: 203ms
memory: 23908kb
input:
1 200000 200000 200001 200000 199999 199998 199997 199996 199995 199994 199993 199992 199991 199990 199989 199988 199987 199986 199985 199984 199983 199982 199981 199980 199979 199978 199977 199976 199975 199974 199973 199972 199971 199970 199969 199968 199967 199966 199965 199964 199963 199962 1999...
output:
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 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
result:
ok 200001 lines
Test #5:
score: -100
Time Limit Exceeded
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:
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 ...