#include <bits/stdc++.h>
using namespace std;
#define int long long
#define popcount(n) (__builtin_popcountll((n)))
#define clz(n) (__builtin_clzll((n)))
#define ctz(n) (__builtin_ctzll((n)))
#define lg(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))
#define Int __int128
#define fi first
#define se second
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;
template <class T1, class T2>
bool maximize(T1 &x, T2 y) {
if (x < y) {
x = y;
return true;
}
return false;
}
template <class T1, class T2>
bool minimize(T1 &x, T2 y) {
if (x > y) {
x = y;
return true;
}
return false;
}
template <class T>
void remove_duplicate(vector<T> &ve) {
sort (ve.begin(), ve.end());
ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}
mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
template <class T> T random(T l, T r) {
return uniform_int_distribution<T>(l, r)(rng);
}
template <class T> T random(T r) {
return rng() % r;
}
const int N = 2e5 + 5, LG = 19;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const ll INF = 1e18;
int n, m, len = 0;
int heavy[N], head[N], par[N], dep[N], pos[N];
vector<int> adj[N];
struct Node {
int le, ri;
int lazy1, lazy2;
ll sum;
Node(int _le = 0, int _ri = 0, int _lazy1 = 0, int _lazy2 = 0, ll _sum = 0) {
le = _le, ri = _ri, lazy1 = _lazy1, lazy2 = _lazy2, sum = _sum;
}
} nodes[N * LG];
int numNode, root = 0;
vector<int> version;
struct PersistentIT {
ll f(int n) {
return 1ll * n * (n + 1) / 2;
}
ll f(int l, int r) {
return f(r) - f(l - 1);
}
void refine(int id) {
int le = nodes[id].le, ri = nodes[id].ri;
nodes[id].sum = nodes[le].sum + nodes[ri].sum;
nodes[id].lazy1 = nodes[id].lazy2 = 0;
}
void push(int id, int l, int r) {
int mid = l + r >> 1, le = nodes[id].le, ri = nodes[id].ri;
nodes[le].sum += 1ll * (mid - l + 1) * nodes[id].lazy1;
nodes[le].sum += 1ll * f(l, mid) * nodes[id].lazy2;
nodes[le].lazy1 += nodes[id].lazy1, nodes[le].lazy2 += nodes[id].lazy2;
nodes[ri].sum += 1ll * (r - mid) * nodes[id].lazy1;
nodes[ri].sum += 1ll * f(mid + 1, r) * nodes[id].lazy2;
nodes[ri].lazy1 += nodes[id].lazy1, nodes[ri].lazy2 += nodes[id].lazy2;
nodes[id].lazy1 = nodes[id].lazy2 = 0;
}
int update(int u, int v, int A, int B, int l, int r, int oldId) {
if (l > v || r < u) return oldId;
int id = ++numNode;
if (l == r) {
nodes[id] = nodes[oldId];
nodes[id].sum += 1ll * (0ll + A - 1ll * u * B) * (r - l + 1);
nodes[id].sum += 1ll * f(l, r) * B;
nodes[id].lazy1 += 0ll + A - 1ll * u * B, nodes[id].lazy2 += B;
return id;
}
push(id, l, r); int mid = l + r >> 1;
nodes[id].le = update(u, v, A, B, l, mid, nodes[oldId].le);
nodes[id].ri = update(u, v, A, B, mid + 1, r, nodes[oldId].ri);
refine(id); return id;
}
ll get(int u, int v, int l, int r, int id) {
if (l > v || r < u) return 0;
if (u <= l && r <= v) return nodes[id].sum;
push(id, l, r); int mid = l + r >> 1;
return get(u, v, l, mid, nodes[id].le) + get(u, v, mid + 1, r, nodes[id].ri);
}
} mytree;
int dfs(int u, int fa) {
int ma = -1, sz = 1; heavy[u] = -1;
for (auto v : adj[u]) {
if (v == fa) continue;
par[v] = u, dep[v] = dep[u] + 1;
int tmp = dfs(v, u); sz += tmp;
if (maximize(ma, tmp)) heavy[u] = v;
}
return sz;
}
void hld(int u, int uhead) {
head[u] = uhead, pos[u] = ++len;
if (heavy[u] != -1) hld(heavy[u], uhead);
for (auto v : adj[u])
if (v != heavy[u] && v != par[u]) hld(v, v);
}
int lca(int u, int v) {
for (; head[u] != head[v]; v = par[head[v]]) {
if (dep[head[u]] > dep[head[v]]) swap(u, v);
}
if (dep[u] > dep[v]) swap(u, v);
return u;
}
void update(int u, int v, int A, int B, int start) {
int cur = start - (start > 0);
for (; head[u] != head[v]; v = par[head[v]]) {
if (dep[head[u]] > dep[head[v]]) swap(u, v);
if (start != 0) {
root = mytree.update(pos[head[v]], pos[v], A + cur * B, B, 1, len, root);
}
else {
root = mytree.update(pos[head[v]], pos[v], A + cur * B + (pos[v] - pos[head[v]]) * B, -B, 1, len, root);
}
cur += pos[v] - pos[head[v]] + 1;
}
if (dep[u] > dep[v]) swap(u, v);
if (start != 0) {
root = mytree.update(pos[u], pos[v], A + cur * B, B, 1, len, root);
}
else {
root = mytree.update(pos[u], pos[v], A + cur * B + (pos[v] - pos[u]) * B, -B, 1, len, root);
}
}
void update(int u, int v, int A, int B) {
int p = lca(u, v);
update(u, p, A, B, 0);
update(v, p, A, B, dep[u] - dep[p] + 1);
update(p, p, -A, 0, dep[u] - dep[p] + 1);
version.emplace_back(root);
}
ll query(int u, int v) {
ll ans = 0;
for (; head[u] != head[v]; v = par[head[v]]) {
if (dep[head[u]] > dep[head[v]]) swap(u, v);
ans += mytree.get(pos[head[v]], pos[v], 1, len, root);
}
if (dep[u] > dep[v]) swap(u, v);
ans += mytree.get(pos[u], pos[v], 1, len, root);
return ans;
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
cin >> n >> m;
for (int i = 1; i < n; ++i) {
int u, v; cin >> u >> v;
adj[u].emplace_back(v), adj[v].emplace_back(u);
}
dfs(1, -1), hld(1, 1);
version.emplace_back(root = numNode);
ll lastans = 0;
for (int i = 1; i <= m; ++i) {
char type; cin >> type;
if (type == 'l') {
int q; cin >> q;
q = (0ll + q + lastans) % version.size();
root = version[q];
}
else {
int u, v; cin >> u >> v;
u = (0ll + u + lastans) % n + 1, v = (0ll + v + lastans) % n + 1;
if (type == 'c') {
int A, B; cin >> A >> B;
update(u, v, A, B);
// cout << "Sum = " << mytree.get(1, n, 1, n, root) << '\n';
// for (int x = 1; x <= n; ++x)
// cout << mytree.get(x, x, 1, n, root) << ' ';
// cout << '\n';
}
else cout << (lastans = query(u, v)) << '\n';
}
}
cerr << '\n'; return 0;
}
#include <bits/stdc++.h>
using namespace std;

#define int long long

#define popcount(n) (__builtin_popcountll((n)))
#define clz(n) (__builtin_clzll((n)))
#define ctz(n) (__builtin_ctzll((n)))
#define lg(n) (63 - __builtin_clzll((n)))
#define BIT(n, i) (((n) >> (i)) & 1ll)
#define MASK(i) (1ll << (i))
#define FLIP(n, i) ((n) ^ (1ll << (i)))
#define ON(n, i) ((n) | MASK(i))
#define OFF(n, i) ((n) & ~MASK(i))

#define Int __int128
#define fi first
#define se second

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<long long, long long> pll;
typedef pair<long long, int> pli;
typedef pair<int, long long> pil;
typedef vector<pair<int, int>> vii;
typedef vector<pair<long long, long long>> vll;
typedef vector<pair<long long, int>> vli;
typedef vector<pair<int, long long>> vil;

template <class T1, class T2>
bool maximize(T1 &x, T2 y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
template <class T1, class T2>
bool minimize(T1 &x, T2 y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}

template <class T>
void remove_duplicate(vector<T> &ve) {
    sort (ve.begin(), ve.end());
    ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
}

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
template <class T> T random(T l, T r) {
    return uniform_int_distribution<T>(l, r)(rng);
}
template <class T> T random(T r) {
    return rng() % r;
}

const int N = 2e5 + 5, LG = 19;
const int MOD = 1e9 + 7;
const int inf = 1e9;
const ll INF = 1e18;

int n, m, len = 0;
int heavy[N], head[N], par[N], dep[N], pos[N];
vector<int> adj[N];

struct Node {
    int le, ri;
    int lazy1, lazy2;
    ll sum;

    Node(int _le = 0, int _ri = 0, int _lazy1 = 0, int _lazy2 = 0, ll _sum = 0) {
        le = _le, ri = _ri, lazy1 = _lazy1, lazy2 = _lazy2, sum = _sum;
    }
} nodes[N * LG];
int numNode, root = 0;
vector<int> version;

struct PersistentIT {
    ll f(int n) {
        return 1ll * n * (n + 1) / 2;
    }

    ll f(int l, int r) {
        return f(r) - f(l - 1);
    }

    void refine(int id) {
        int le = nodes[id].le, ri = nodes[id].ri;
        nodes[id].sum = nodes[le].sum + nodes[ri].sum;
        nodes[id].lazy1 = nodes[id].lazy2 = 0;
    }

    void push(int id, int l, int r) {
        int mid = l + r >> 1, le = nodes[id].le, ri = nodes[id].ri;

        nodes[le].sum += 1ll * (mid - l + 1) * nodes[id].lazy1;
        nodes[le].sum += 1ll * f(l, mid) * nodes[id].lazy2;
        nodes[le].lazy1 += nodes[id].lazy1, nodes[le].lazy2 += nodes[id].lazy2;

        nodes[ri].sum += 1ll * (r - mid) * nodes[id].lazy1;
        nodes[ri].sum += 1ll * f(mid + 1, r) * nodes[id].lazy2;
        nodes[ri].lazy1 += nodes[id].lazy1, nodes[ri].lazy2 += nodes[id].lazy2;

        nodes[id].lazy1 = nodes[id].lazy2 = 0;
    }

    int update(int u, int v, int A, int B, int l, int r, int oldId) {
        if (l > v || r < u) return oldId;

        int id = ++numNode;
        if (l == r) {
            nodes[id] = nodes[oldId];
            nodes[id].sum += 1ll * (0ll + A - 1ll * u * B) * (r - l + 1);
            nodes[id].sum += 1ll * f(l, r) * B;
            nodes[id].lazy1 += 0ll + A - 1ll * u * B, nodes[id].lazy2 += B;
            return id;
        }

        push(id, l, r); int mid = l + r >> 1;
        nodes[id].le = update(u, v, A, B, l, mid, nodes[oldId].le);
        nodes[id].ri = update(u, v, A, B, mid + 1, r, nodes[oldId].ri);

        refine(id); return id;
    }

    ll get(int u, int v, int l, int r, int id) {
        if (l > v || r < u) return 0;
        if (u <= l && r <= v) return nodes[id].sum;
        push(id, l, r); int mid = l + r >> 1;
        return get(u, v, l, mid, nodes[id].le) + get(u, v, mid + 1, r, nodes[id].ri);
    }
} mytree;

int dfs(int u, int fa) {
    int ma = -1, sz = 1; heavy[u] = -1;
    for (auto v : adj[u]) {
        if (v == fa) continue;
        par[v] = u, dep[v] = dep[u] + 1;
        int tmp = dfs(v, u); sz += tmp;
        if (maximize(ma, tmp)) heavy[u] = v;
    }
    return sz;
}

void hld(int u, int uhead) {
    head[u] = uhead, pos[u] = ++len;
    if (heavy[u] != -1) hld(heavy[u], uhead);
    for (auto v : adj[u])
        if (v != heavy[u] && v != par[u]) hld(v, v);
}

int lca(int u, int v) {
    for (; head[u] != head[v]; v = par[head[v]]) {
        if (dep[head[u]] > dep[head[v]]) swap(u, v);
    }
    if (dep[u] > dep[v]) swap(u, v);
    return u;
}

void update(int u, int v, int A, int B, int start) {
    int cur = start - (start > 0);
    for (; head[u] != head[v]; v = par[head[v]]) {
        if (dep[head[u]] > dep[head[v]]) swap(u, v);
        if (start != 0) {
            root = mytree.update(pos[head[v]], pos[v], A + cur * B, B, 1, len, root);
        }
        else {
            root = mytree.update(pos[head[v]], pos[v], A + cur * B + (pos[v] - pos[head[v]]) * B, -B, 1, len, root);
        }
        cur += pos[v] - pos[head[v]] + 1;
    }
    if (dep[u] > dep[v]) swap(u, v);
    if (start != 0) {
        root = mytree.update(pos[u], pos[v], A + cur * B, B, 1, len, root);
    }
    else {
        root = mytree.update(pos[u], pos[v], A + cur * B + (pos[v] - pos[u]) * B, -B, 1, len, root);
    }
}

void update(int u, int v, int A, int B) {
    int p = lca(u, v);
    update(u, p, A, B, 0);
    update(v, p, A, B, dep[u] - dep[p] + 1);
    update(p, p, -A, 0, dep[u] - dep[p] + 1);
    version.emplace_back(root);
}

ll query(int u, int v) {
    ll ans = 0;
    for (; head[u] != head[v]; v = par[head[v]]) {
        if (dep[head[u]] > dep[head[v]]) swap(u, v);
        ans += mytree.get(pos[head[v]], pos[v], 1, len, root);
    }
    if (dep[u] > dep[v]) swap(u, v);
    ans += mytree.get(pos[u], pos[v], 1, len, root);
    return ans;
}

signed main() {
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);

    cin >> n >> m;

    for (int i = 1; i < n; ++i) {
        int u, v; cin >> u >> v;
        adj[u].emplace_back(v), adj[v].emplace_back(u);
    }

    dfs(1, -1), hld(1, 1);

    version.emplace_back(root = numNode);
    ll lastans = 0;
    for (int i = 1; i <= m; ++i) {
        char type; cin >> type;
        if (type == 'l') {
            int q; cin >> q;
            q = (0ll + q + lastans) % version.size();
            root = version[q];
        }
        else {
            int u, v; cin >> u >> v;
            u = (0ll + u + lastans) % n + 1, v = (0ll + v + lastans) % n + 1;
            if (type == 'c') {
                int A, B; cin >> A >> B;
                update(u, v, A, B);
                // cout << "Sum = " << mytree.get(1, n, 1, n, root) << '\n';
                // for (int x = 1; x <= n; ++x)
                //     cout << mytree.get(x, x, 1, n, root) << ' ';
                // cout << '\n';
            }
            else cout << (lastans = query(u, v)) << '\n';
        }
    }
    cerr << '\n'; return 0;
}