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Minesweeper
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/** | ||
* @file 81604F.cpp | ||
* @author Macesuted ([email protected]) | ||
* @date 2024-08-14 | ||
* | ||
* @copyright Copyright (c) 2024 | ||
* | ||
*/ | ||
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#include <bits/stdc++.h> | ||
using namespace std; | ||
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namespace IO { | ||
const int SIZE = 1 << 20; | ||
char Ibuf[SIZE], *Il = Ibuf, *Ir = Ibuf, Obuf[SIZE], *Ol = Obuf, *Or = Ol + SIZE - 1; | ||
int cache[100]; | ||
void fill(void) { return Ir = (Il = Ibuf) + fread(Ibuf, 1, SIZE, stdin), void(); } | ||
void flush(void) { return fwrite(Obuf, 1, Ol - Obuf, stdout), Ol = Obuf, void(); } | ||
char getch(void) { return Il == Ir ? fill(), Il == Ir ? EOF : *Il++ : *Il++; } | ||
void putch(char x) { return *Ol++ = x, Ol == Or && (flush(), 0), void(); } | ||
template <typename T = int> | ||
T read(void) { | ||
T x = 0, f = +1; | ||
char c = getch(); | ||
while (c < '0' || c > '9') (c == '-') && (f = -f), c = getch(); | ||
while ('0' <= c && c <= '9') x = (x << 3) + (x << 1) + (c ^ 48), c = getch(); | ||
return x * f; | ||
} | ||
template <typename T> | ||
void write(T x) { | ||
if (!x) return putch('0'); | ||
if (x < 0) putch('-'), x = -x; | ||
int top = 0; | ||
while (x) cache[top++] = x % 10, x /= 10; | ||
while (top) putch(cache[--top] ^ 48); | ||
return; | ||
} | ||
struct Flusher_ { | ||
~Flusher_() { flush(); } | ||
} io_flusher_; | ||
} // namespace IO | ||
using IO::putch; | ||
using IO::read; | ||
using IO::write; | ||
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#ifndef LOCAL | ||
#define endl '\n' | ||
#endif | ||
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bool mem1; | ||
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#define maxn 1000005 | ||
#define maxlgn 21 | ||
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typedef pair<int, int64_t> pil; | ||
typedef tuple<int, int, int, int64_t> tiiil; | ||
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class SegmentTree { | ||
private: | ||
struct Node { | ||
int maxv, minv, llen, len; | ||
int64_t lsum, sum, laz; | ||
Node(void) { minv = INT_MAX, maxv = llen = len = lsum = sum = laz = 0; } | ||
}; | ||
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Node tree[1 << 21]; | ||
int n; | ||
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void pushDown(int p) { | ||
if (!tree[p].laz) return; | ||
tree[p << 1].sum += tree[p << 1].len * tree[p].laz, tree[p << 1 | 1].sum += tree[p << 1 | 1].len * tree[p].laz; | ||
tree[p << 1].lsum += tree[p << 1].llen * tree[p].laz, tree[p << 1 | 1].lsum += tree[p << 1 | 1].llen * tree[p].laz; | ||
tree[p << 1].laz += tree[p].laz, tree[p << 1 | 1].laz += tree[p].laz, tree[p].laz = 0; | ||
return; | ||
} | ||
tiiil find(int p, int l, int r, int limit) { | ||
if (tree[p].minv >= limit) return {INT_MAX, 0, 0, 0}; | ||
if (tree[p].maxv < limit) return {tree[p].minv, tree[p].maxv, tree[p].len, tree[p].sum}; | ||
pushDown(p); | ||
int mid = (l + r) >> 1; | ||
if (tree[p << 1 | 1].minv >= limit) return find(p << 1, l, mid, limit); | ||
tiiil ret = find(p << 1 | 1, mid + 1, r, limit); | ||
return {tree[p].minv, get<1>(ret), tree[p].llen + get<2>(ret), tree[p].lsum + get<3>(ret)}; | ||
} | ||
void build(int p, int l, int r, int dep[]) { | ||
if (l == r) return tree[p].maxv = tree[p].minv = dep[l], tree[p].len = 1, void(); | ||
int mid = (l + r) >> 1; | ||
build(p << 1, l, mid, dep), build(p << 1 | 1, mid + 1, r, dep); | ||
tiiil ret = find(p << 1, l, mid, tree[p << 1 | 1].minv); | ||
tree[p].minv = min(get<0>(ret), tree[p << 1 | 1].minv), tree[p].maxv = tree[p << 1 | 1].maxv; | ||
tree[p].len = (tree[p].llen = get<2>(ret)) + tree[p << 1 | 1].len; | ||
return; | ||
} | ||
void update(int p, int l, int r, int ql, int qr, int64_t v, int& vl, int& vr) { | ||
if (ql <= l && r <= qr) | ||
return tree[p].sum += tree[p].len * v, tree[p].lsum += tree[p].llen * v, tree[p].laz += v, vl = 1, vr = tree[p].len, | ||
void(); | ||
int mid = (l + r) >> 1, pl, pr; | ||
vl = n, vr = 1; | ||
pushDown(p); | ||
if (ql <= mid) { | ||
update(p << 1, l, mid, ql, qr, v, pl, pr), pr = min(pr, tree[p].llen); | ||
if (pl <= pr) | ||
tree[p].sum += (pr - pl + 1) * v, tree[p].lsum += (pr - pl + 1) * v, vl = min(vl, pl), vr = max(vl, pr); | ||
} | ||
if (qr > mid) { | ||
update(p << 1 | 1, mid + 1, r, ql, qr, v, pl, pr), pl += tree[p].llen, pr += tree[p].llen; | ||
if (pl <= pr) tree[p].sum += (pr - pl + 1) * v, vl = min(vl, pl), vr = max(vr, pr); | ||
} | ||
return; | ||
} | ||
pil query(int p, int l, int r, int qr) { | ||
if (r <= qr) return {tree[p].minv, tree[p].sum}; | ||
pushDown(p); | ||
int mid = (l + r) >> 1; | ||
if (qr <= mid) return query(p << 1, l, mid, qr); | ||
pil rig = query(p << 1 | 1, mid + 1, r, qr); | ||
tiiil lef = find(p << 1, l, mid, rig.first); | ||
return {min(get<0>(lef), rig.first), get<3>(lef) + rig.second}; | ||
} | ||
void print(int p, int l, int r) { | ||
cerr << "# " << p << ' ' << l << ' ' << r << endl; | ||
cerr << tree[p].minv << ' ' << tree[p].maxv << ' ' << tree[p].len << ' ' << tree[p].sum << ' ' << tree[p].llen << ' ' | ||
<< tree[p].lsum << endl; | ||
if (l == r) return; | ||
pushDown(p); | ||
int mid = (l + r) >> 1; | ||
print(p << 1, l, mid), print(p << 1 | 1, mid + 1, r); | ||
return; | ||
} | ||
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public: | ||
void resize(int _n) { return n = _n, void(); } | ||
void build(int dep[]) { return build(1, 1, n, dep); } | ||
void update(int l, int r, int64_t v) { | ||
int pl, pr; | ||
return update(1, 1, n, l, r, v, pl, pr); | ||
} | ||
int64_t query(int r) { return query(1, 1, n, r).second; } | ||
void print(void) { return print(1, 1, n); } | ||
} ST; | ||
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int dep[maxn], fa[maxn][maxlgn]; | ||
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int lca(int x, int y) { | ||
if (dep[x] < dep[y]) swap(x, y); | ||
for (int i = maxlgn - 1; ~i; i--) | ||
if (dep[fa[x][i]] >= dep[y]) x = fa[x][i]; | ||
if (x == y) return x; | ||
for (int i = maxlgn - 1; ~i; i--) | ||
if (fa[x][i] != fa[y][i]) x = fa[x][i], y = fa[y][i]; | ||
return fa[x][0]; | ||
} | ||
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void solve(void) { | ||
int n = read(), q = read(); | ||
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fa[1][0] = 1, dep[1] = 1; | ||
for (int i = 2; i <= n; i++) fa[i][0] = read(), dep[i] = dep[fa[i][0]] + 1; | ||
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for (int i = 1; i < maxlgn; i++) | ||
for (int j = 1; j <= n; j++) fa[j][i] = fa[fa[j][i - 1]][i - 1]; | ||
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ST.resize(n), ST.build(dep); | ||
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int64_t lastans = 0; | ||
while (q--) | ||
if (read() == 1) { | ||
int64_t l = read<int64_t>() ^ lastans, r = read<int64_t>() ^ lastans, v = read<int64_t>() ^ lastans; | ||
l = l % n + 1, r = r % n + 1, v = v % n + 1; | ||
ST.update(l, r, v); | ||
} else { | ||
int64_t x = read<int64_t>() ^ lastans, y = read<int64_t>() ^ lastans; | ||
x = x % n + 1, y = y % n + 1; | ||
int t = lca(x, y); | ||
int64_t ans = ST.query(x) + ST.query(y) - ST.query(t); | ||
if (t != 1) ans -= ST.query(fa[t][0]); | ||
write(ans), putch('\n'), lastans ^= ans; | ||
} | ||
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return; | ||
} | ||
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bool mem2; | ||
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int main() { | ||
ios::sync_with_stdio(false), cin.tie(nullptr); | ||
#ifdef LOCAL | ||
cerr << "Memory Cost: " << abs(&mem1 - &mem2) / 1024. / 1024. << "MB" << endl; | ||
#endif | ||
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int _ = 1; | ||
while (_--) solve(); | ||
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#ifdef LOCAL | ||
cerr << "Time Cost: " << clock() * 1000. / CLOCKS_PER_SEC << "MS" << endl; | ||
#endif | ||
return 0; | ||
} |