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| const int N = 100005;
int n, m, k;
namespace Splay {
int c[N], son[N][2], f[N], sz[N], minid[N];
#define ls son[x][0]
#define rs son[x][1]
inline int cmp(int x, int y)
{
if (!x || !y)return x | y;
else return x < y ? x : y;
}
inline void pushup(int x)
{
sz[x] = sz[ls] + sz[rs] + 1;
minid[x] = cmp(x, cmp(minid[ls], minid[rs]));
}
inline int get(int x) { return x == son[f[x]][1]; }
inline void connect(int x, int y, int d)
{
if (x)son[x][d] = y;
if (y)f[y] = x;
}
inline void rotate(int x)
{
int fa = f[x], ffa = f[fa], p = get(x), q = get(fa);
connect(fa, son[x][p ^ 1], p);
connect(x, fa, p ^ 1);
connect(ffa, x, q);
pushup(fa), pushup(x);
}
void splay(int x, int ed)
{
for (int fa; fa = f[x], fa != ed; rotate(x))
if (f[fa] != ed)rotate(get(fa) == get(x) ? fa : x);
}
inline int get_minid(int x)
{
splay(x, 0);
return minid[x];
}
int getlast(int x)
{
splay(x, 0);
while (son[x][1])
x = son[x][1];
splay(x, 0);
return x;
}
inline int kth(int x, int rk)
{
splay(x, 0);
while (1)
{
if (sz[ls] >= rk)
x = ls;
else
{
rk -= sz[ls] + 1;
if (!rk)return x;
x = rs;
}
}
}
void movefront(int x)
{
splay(x, 0);
if (!ls)return;
int r = getlast(x);
int y = ls;
ls = 0;
pushup(x);
son[r][1] = y;
f[y] = r;
pushup(r);
splay(x, 0);
}
#undef ls
#undef rs
}
using namespace Splay;
int p[N], circle_sz[N];
set<int> S1[N], S2;
int SZ;
void print(int x)
{
if (son[x][0])print(son[x][0]);
printf("%d ", x);
if (son[x][1])print(son[x][1]);
}
inline void add(int x)
{
splay(x, 0);
circle_sz[minid[x]] = sz[x];
if (sz[x] <= SZ)S1[sz[x]].insert(minid[x]);
else S2.insert(minid[x]);
}
inline void del(int x)
{
splay(x, 0);
if (sz[x] <= SZ)S1[sz[x]].erase(minid[x]);
else S2.erase(minid[x]);
}
void merge(int x, int y)
{
if (get_minid(x) > get_minid(y))swap(x, y);
del(x), del(y);
movefront(x), movefront(p[y]);
if (x != p[x])
{
splay(x, 0), splay(p[x], x);
son[p[x]][0] = p[y];
f[p[y]] = p[x];
pushup(p[x]);
splay(p[x], 0);
}
else
{
son[x][1] = p[y];
f[p[y]] = x;
pushup(x);
splay(x, 0);
}
add(x);
}
void divide(int x, int y)
{
del(x);
movefront(x);
if (sz[x] == 2)
{
splay(x, 0);
son[x][1] = 0;
f[y] = 0;
pushup(x);
}
else
{
if (x == p[y])swap(x, y);
assert(x != p[y]);
splay(x, 0), splay(p[y], x);
int z = son[p[y]][0];
son[p[y]][0] = 0;
f[z] = 0;
pushup(p[y]);
splay(p[y], 0);
}
add(x), add(y);
}
int main()
{
int q, u, v, w, x, y, z, T;
cin >> T;
while (T--)
{
scanf("%d%d", &n, &q);
for (int i = 1; i <= n; i++)
son[i][0] = son[i][1] = 0, S1[i].clear();
S2.clear();
fill(f, f + n + 1, 0);
fill(sz + 1, sz + n + 1, 1);
iota(minid + 1, minid + n + 1, 1);
iota(c + 1, c + n + 1, 1);
iota(p + 1, p + n + 1, 1);
SZ = sqrt(n);
char s[10];
while (q--)
{
ll x, y;
scanf("%s%lld%lld", s, &x, &y);
if (s[0] == 's' && s[5] == 'a')
swap(c[x], c[y]);
else if (s[0] == 's' && s[5] == 'p')
{
if (x == y)continue;
if (get_minid(x) != get_minid(y))
merge(x, y);
else
divide(x, y);
swap(p[x], p[y]);
}
else
{
ll dif = abs(x - y);
int id = n + 1;
for (int i = 1; i <= SZ; i++)
if (!S1[i].empty() && dif % i)
id = min(id, *S1[i].begin());
for (auto x:S2)
if (dif % circle_sz[x])
id = min(id, x);
if (id == n + 1)puts("=");
else
{
x = (x - 1) % circle_sz[id] + 1;
y = (y - 1) % circle_sz[id] + 1;
movefront(id);
x = kth(id, x);
y = kth(id, y);
if (c[x] < c[y])puts("<");
else puts(">");
}
}
}
}
return 0;
}
|