QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#738337 | #9543. Good Partitions | dddfff | WA | 180ms | 25480kb | C++23 | 5.1kb | 2024-11-12 18:45:30 | 2024-11-12 18:45:30 |
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;
}
}
long long cnt[N];
void init()
{
for (int i = 1; i <= 200001; i++)
for (int j = 1; j * i <= 200001; j++)
cnt[i * j]++;
}
set<int> st;
int rpos[N];
void solve()
{
// code
st.clear();
cin >> n >> m;
for (int i = 1; i <= n; i++)
{
cin >> a[i];
rpos[i] = 0;
len[i] = 1;
}
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 || l == 1)
{
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 = n;
if (l <= pos - 1)
{
update(1, l, pos - 1, pos - l);
}
if (*nl != *st.rbegin())
{
auto rl = nl;
rl++;
r = *rl - 1;
}
st.insert(pos);
if (pos + 1 <= r)
{
st.insert(pos + 1);
update(1, pos + 1, r, r - pos);
}
nl = st.find(pos);
if (*nl == *st.begin() && *nl == *st.rbegin())
{
cout << 1 << '\n';
continue;
}
if (*nl == *st.begin())
{
auto rr = nl;
rr++;
int r1 = *rr, r2 = n;
if (*rr != *st.rbegin())
{
rr++;
r2 = (*rr) - 1;
}
if (a[pos] <= a[r1])
{
st.erase(r1);
update(1, pos, r2, r2 - pos + 1);
}
}
else if (*nl == *st.rbegin())
{
auto ll = nl;
ll--;
int l1 = *ll, l2 = pos - 1;
if (a[pos] >= a[l2])
{
st.erase(pos);
update(1, l1, pos, pos - l1 + 1);
}
}
else
{
auto ll = nl;
ll--;
int l1 = *ll, l2 = pos - 1;
auto rr = nl;
rr++;
int r1 = pos + 1, r2 = n;
if (*rr != *st.rbegin())
{
rr++;
r2 = (*rr) - 1;
}
if (a[pos] >= a[l2] && a[pos] <= a[r1])
{
st.erase(pos);
st.erase(r1);
update(1, l1, r2, r2 - l1 + 1);
}
else if (a[pos] >= a[l2])
{
st.erase(pos);
update(1, l1, pos, pos - l1 + 1);
}
else if (a[pos] <= a[r1])
{
st.erase(r1);
update(1, pos, r2, r2 - pos + 1);
}
}
int x = *st.rbegin();
int g = ask(1, 1, x - 1);
if (g == 0 || x == 1)
{
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
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 4ms
memory: 7756kb
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: 7748kb
input:
1 1 1 2000000000 1 1999999999
output:
1 1
result:
ok 2 lines
Test #3:
score: 0
Accepted
time: 127ms
memory: 16944kb
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: 180ms
memory: 25480kb
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: 0
Accepted
time: 125ms
memory: 16388kb
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 ...
result:
ok 200001 lines
Test #6:
score: 0
Accepted
time: 4ms
memory: 7768kb
input:
2 2 2 17017 63462 2 94054 2 13504 8 8 14380 5840 34752 73602 60279 26105 44308 78318 7 8597 2 70671 6 56663 5 90093 5 96853 3 10700 1 76875 6 27325
output:
2 2 1 1 1 1 1 1 1 1 1 1
result:
ok 12 lines
Test #7:
score: -100
Wrong Answer
time: 0ms
memory: 7744kb
input:
10 9 15 850456 510799 912572 938543 215712 758501 850577 149454 330027 7 740992 7 73826 1 993823 7 143019 8 152824 2 109975 5 151989 7 851016 3 157534 8 491512 6 987473 7 272348 3 842756 4 278214 5 707564 10 17 494099 922564 124251 422938 100551 915266 18436 74858 885629 897256 8 798574 7 49544 7 83...
output:
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 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 2 2 2 2 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
result:
wrong answer 20th lines differ - expected: '1', found: '2'