This documentation is automatically generated by competitive-verifier/competitive-verifier
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2450
#include "../../template/template.hpp"
#include "../../structure/segment-tree/lazy-segment-tree.hpp"
#include "../../graph/tree/heavy-light-decomposition.hpp"
int main() {
int N, Q;
cin >> N >> Q;
vector< int > S(N);
for (int i = 0; i < N; i++) {
cin >> S[i];
}
HeavyLightDecomposition< int64 > tree(N);
tree.read(N - 1);
tree.build();
struct Node {
int64 ans, all, left, right, length;
Node(): ans(-infll), all(0), left(-infll), right(-infll), length(0) {}
Node(int64 val, int64 len) {
length = len;
all = val * length;
ans = left = right = (val > 0 ? all : val);
}
Node operator+(const Node &s) const {
Node ret;
ret.length = length + s.length;
ret.ans = max({ans, s.ans, right + s.left});
ret.all = all + s.all;
ret.left = max(left, all + s.left);
ret.right = max(s.right, right + s.all);
return ret;
}
};
auto F = [](const Node &a, const Node &b) { return a + b; };
auto G = [](const Node& x, int64 f) -> Node { return {f, x.length}; };
auto H = [](int64 f, int64 g) { return g; };
auto e = []() { return Node(); };
auto id = []() { return infll; };
vector< Node > vs(N);
for (int i = 0; i < N; i++) vs[i] = {S[tree.rev[i]], 1};
LazySegmentTree seg(LambdaActedMonoid(F, e, G, H, id), vs);
auto QF = [&](int a, int b) { return seg.prod(a, b); };
auto QG = [](const Node &a, const Node &b) { return a + b; };
auto QS = [](Node l, const Node &r) {
swap(l.left, l.right);
return l + r;
};
while (Q--) {
int T, A, B, C;
cin >> T >> A >> B >> C;
--A, --B;
if (T == 1) {
tree.add(A, B, [&](int a, int b) { seg.apply(a, b, C); });
} else {
cout << tree.query(A, B, Node(), QF, QG, QS).ans << "\n";
}
}
}
#line 1 "test/verify/aoj-2450.test.cpp"
// competitive-verifier: PROBLEM http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2450
#line 1 "template/template.hpp"
#include <bits/stdc++.h>
#if __has_include(<atcoder/all>)
#include <atcoder/all>
#endif
using namespace std;
using int64 = long long;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template <typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) {
os << p.first << " " << p.second;
return os;
}
template <typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) {
is >> p.first >> p.second;
return is;
}
template <typename T>
ostream &operator<<(ostream &os, const vector<T> &v) {
for (int i = 0; i < (int)v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template <typename T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &in : v) is >> in;
return is;
}
template <typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {
return a < b && (a = b, true);
}
template <typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {
return a > b && (a = b, true);
}
template <typename T = int64>
vector<T> make_v(size_t a) {
return vector<T>(a);
}
template <typename T, typename... Ts>
auto make_v(size_t a, Ts... ts) {
return vector<decltype(make_v<T>(ts...))>(a, make_v<T>(ts...));
}
template <typename T, typename V>
typename enable_if<is_class<T>::value == 0>::type fill_v(T &t, const V &v) {
t = v;
}
template <typename T, typename V>
typename enable_if<is_class<T>::value != 0>::type fill_v(T &t, const V &v) {
for (auto &e : t) fill_v(e, v);
}
template <typename F>
struct FixPoint : F {
explicit FixPoint(F &&f) : F(std::forward<F>(f)) {}
template <typename... Args>
decltype(auto) operator()(Args &&...args) const {
return F::operator()(*this, std::forward<Args>(args)...);
}
};
template <typename F>
inline decltype(auto) MFP(F &&f) {
return FixPoint<F>{std::forward<F>(f)};
}
#line 4 "test/verify/aoj-2450.test.cpp"
#line 2 "structure/class/acted-monoid.hpp"
template <typename S2, typename Op, typename E, typename F2, typename Mapping,
typename Composition, typename Id>
struct LambdaActedMonoid {
using S = S2;
using F = F2;
S op(const S &a, const S &b) const { return _op(a, b); }
S e() const { return _e(); }
S mapping(const S &x, const F &f) const { return _mapping(x, f); }
F composition(const F &f, const F &g) const { return _composition(f, g); }
F id() const { return _id(); }
LambdaActedMonoid(Op _op, E _e, Mapping _mapping, Composition _composition,
Id _id)
: _op(_op),
_e(_e),
_mapping(_mapping),
_composition(_composition),
_id(_id) {}
private:
Op _op;
E _e;
Mapping _mapping;
Composition _composition;
Id _id;
};
template <typename Op, typename E, typename Mapping, typename Composition,
typename Id>
LambdaActedMonoid(Op _op, E _e, Mapping _mapping, Composition _composition,
Id _id)
-> LambdaActedMonoid<decltype(_e()), Op, E, decltype(_id()), Mapping,
Composition, Id>;
/*
struct ActedMonoid {
using S = ?;
using F = ?;
static constexpr S op(const S& a, const S& b) {}
static constexpr S e() {}
static constexpr S mapping(const S &x, const F &f) {}
static constexpr F composition(const F &f, const F &g) {}
static constexpr F id() {}
};
*/
#line 2 "structure/segment-tree/lazy-segment-tree.hpp"
template <typename ActedMonoid>
struct LazySegmentTree {
using S = typename ActedMonoid::S;
using F = typename ActedMonoid::F;
private:
ActedMonoid m;
int n{}, sz{}, height{};
vector<S> data;
vector<F> lazy;
inline void update(int k) {
data[k] = m.op(data[2 * k + 0], data[2 * k + 1]);
}
inline void all_apply(int k, const F &x) {
data[k] = m.mapping(data[k], x);
if (k < sz) lazy[k] = m.composition(lazy[k], x);
}
inline void propagate(int k) {
if (lazy[k] != m.id()) {
all_apply(2 * k + 0, lazy[k]);
all_apply(2 * k + 1, lazy[k]);
lazy[k] = m.id();
}
}
public:
LazySegmentTree() = default;
explicit LazySegmentTree(ActedMonoid m, int n) : m(m), n(n) {
sz = 1;
height = 0;
while (sz < n) sz <<= 1, height++;
data.assign(2 * sz, m.e());
lazy.assign(2 * sz, m.id());
}
explicit LazySegmentTree(ActedMonoid m, const vector<S> &v)
: LazySegmentTree(m, v.size()) {
build(v);
}
void build(const vector<S> &v) {
assert(n == (int)v.size());
for (int k = 0; k < n; k++) data[k + sz] = v[k];
for (int k = sz - 1; k > 0; k--) update(k);
}
void set(int k, const S &x) {
k += sz;
for (int i = height; i > 0; i--) propagate(k >> i);
data[k] = x;
for (int i = 1; i <= height; i++) update(k >> i);
}
S get(int k) {
k += sz;
for (int i = height; i > 0; i--) propagate(k >> i);
return data[k];
}
S operator[](int k) { return get(k); }
S prod(int l, int r) {
if (l >= r) return m.e();
l += sz;
r += sz;
for (int i = height; i > 0; i--) {
if (((l >> i) << i) != l) propagate(l >> i);
if (((r >> i) << i) != r) propagate((r - 1) >> i);
}
S L = m.e(), R = m.e();
for (; l < r; l >>= 1, r >>= 1) {
if (l & 1) L = m.op(L, data[l++]);
if (r & 1) R = m.op(data[--r], R);
}
return m.op(L, R);
}
S all_prod() const { return data[1]; }
void apply(int k, const F &f) {
k += sz;
for (int i = height; i > 0; i--) propagate(k >> i);
data[k] = m.mapping(data[k], f);
for (int i = 1; i <= height; i++) update(k >> i);
}
void apply(int l, int r, const F &f) {
if (l >= r) return;
l += sz;
r += sz;
for (int i = height; i > 0; i--) {
if (((l >> i) << i) != l) propagate(l >> i);
if (((r >> i) << i) != r) propagate((r - 1) >> i);
}
{
int l2 = l, r2 = r;
for (; l < r; l >>= 1, r >>= 1) {
if (l & 1) all_apply(l++, f);
if (r & 1) all_apply(--r, f);
}
l = l2, r = r2;
}
for (int i = 1; i <= height; i++) {
if (((l >> i) << i) != l) update(l >> i);
if (((r >> i) << i) != r) update((r - 1) >> i);
}
}
template <typename C>
int find_first(int l, const C &check) {
if (l >= n) return n;
l += sz;
for (int i = height; i > 0; i--) propagate(l >> i);
S sum = m.e();
do {
while ((l & 1) == 0) l >>= 1;
if (check(m.op(sum, data[l]))) {
while (l < sz) {
propagate(l);
l <<= 1;
auto nxt = m.op(sum, data[l]);
if (not check(nxt)) {
sum = nxt;
l++;
}
}
return l + 1 - sz;
}
sum = m.op(sum, data[l++]);
} while ((l & -l) != l);
return n;
}
template <typename C>
int find_last(int r, const C &check) {
if (r <= 0) return -1;
r += sz;
for (int i = height; i > 0; i--) propagate((r - 1) >> i);
S sum = m.e();
do {
r--;
while (r > 1 and (r & 1)) r >>= 1;
if (check(m.op(data[r], sum))) {
while (r < sz) {
propagate(r);
r = (r << 1) + 1;
auto nxt = m.op(data[r], sum);
if (not check(nxt)) {
sum = nxt;
r--;
}
}
return r - sz;
}
sum = m.op(data[r], sum);
} while ((r & -r) != r);
return -1;
}
};
#line 6 "test/verify/aoj-2450.test.cpp"
#line 2 "graph/tree/heavy-light-decomposition.hpp"
#line 2 "graph/graph-template.hpp"
template <typename T = int>
struct Edge {
int from, to;
T cost;
int idx;
Edge() = default;
Edge(int from, int to, T cost = 1, int idx = -1)
: from(from), to(to), cost(cost), idx(idx) {}
operator int() const { return to; }
};
template <typename T = int>
struct Graph {
vector<vector<Edge<T> > > g;
int es;
Graph() = default;
explicit Graph(int n) : g(n), es(0) {}
size_t size() const { return g.size(); }
void add_directed_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es++);
}
void add_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es);
g[to].emplace_back(to, from, cost, es++);
}
void read(int M, int padding = -1, bool weighted = false,
bool directed = false) {
for (int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
a += padding;
b += padding;
T c = T(1);
if (weighted) cin >> c;
if (directed)
add_directed_edge(a, b, c);
else
add_edge(a, b, c);
}
}
inline vector<Edge<T> > &operator[](const int &k) { return g[k]; }
inline const vector<Edge<T> > &operator[](const int &k) const { return g[k]; }
};
template <typename T = int>
using Edges = vector<Edge<T> >;
#line 4 "graph/tree/heavy-light-decomposition.hpp"
/**
* @brief Heavy-Light-Decomposition(HL分解)
* @see https://smijake3.hatenablog.com/entry/2019/09/15/200200
*/
template <typename T = int>
struct HeavyLightDecomposition : Graph<T> {
public:
using Graph<T>::Graph;
using Graph<T>::g;
vector<int> sz, in, out, head, rev, par, dep;
void build(int root = 0) {
sz.assign(g.size(), 0);
in.assign(g.size(), 0);
out.assign(g.size(), 0);
head.assign(g.size(), 0);
rev.assign(g.size(), 0);
par.assign(g.size(), 0);
dep.assign(g.size(), 0);
dfs_sz(root, -1, 0);
int t = 0;
head[root] = root;
dfs_hld(root, -1, t);
}
/* k: 0-indexed */
int la(int v, int k) {
while (1) {
int u = head[v];
if (in[v] - k >= in[u]) return rev[in[v] - k];
k -= in[v] - in[u] + 1;
v = par[u];
}
}
int lca(int u, int v) const {
for (;; v = par[head[v]]) {
if (in[u] > in[v]) swap(u, v);
if (head[u] == head[v]) return u;
}
}
int dist(int u, int v) const { return dep[u] + dep[v] - 2 * dep[lca(u, v)]; }
template <typename E, typename Q, typename F, typename S>
E query(int u, int v, const E &ti, const Q &q, const F &f, const S &s,
bool edge = false) {
E l = ti, r = ti;
for (;; v = par[head[v]]) {
if (in[u] > in[v]) swap(u, v), swap(l, r);
if (head[u] == head[v]) break;
l = f(q(in[head[v]], in[v] + 1), l);
}
return s(f(q(in[u] + edge, in[v] + 1), l), r);
}
template <typename E, typename Q, typename F>
E query(int u, int v, const E &ti, const Q &q, const F &f,
bool edge = false) {
return query(u, v, ti, q, f, f, edge);
}
template <typename Q>
void add(int u, int v, const Q &q, bool edge = false) {
for (;; v = par[head[v]]) {
if (in[u] > in[v]) swap(u, v);
if (head[u] == head[v]) break;
q(in[head[v]], in[v] + 1);
}
q(in[u] + edge, in[v] + 1);
}
/* {parent, child} */
vector<pair<int, int> > compress(vector<int> &remark) {
auto cmp = [&](int a, int b) { return in[a] < in[b]; };
sort(begin(remark), end(remark), cmp);
remark.erase(unique(begin(remark), end(remark)), end(remark));
int K = (int)remark.size();
for (int k = 1; k < K; k++)
remark.emplace_back(lca(remark[k - 1], remark[k]));
sort(begin(remark), end(remark), cmp);
remark.erase(unique(begin(remark), end(remark)), end(remark));
vector<pair<int, int> > es;
stack<int> st;
for (auto &k : remark) {
while (!st.empty() && out[st.top()] <= in[k]) st.pop();
if (!st.empty()) es.emplace_back(st.top(), k);
st.emplace(k);
}
return es;
}
explicit HeavyLightDecomposition(const Graph<T> &g) : Graph<T>(g) {}
private:
void dfs_sz(int idx, int p, int d) {
dep[idx] = d;
par[idx] = p;
sz[idx] = 1;
if (g[idx].size() && g[idx][0] == p) swap(g[idx][0], g[idx].back());
for (auto &to : g[idx]) {
if (to == p) continue;
dfs_sz(to, idx, d + 1);
sz[idx] += sz[to];
if (sz[g[idx][0]] < sz[to]) swap(g[idx][0], to);
}
}
void dfs_hld(int idx, int p, int ×) {
in[idx] = times++;
rev[in[idx]] = idx;
for (auto &to : g[idx]) {
if (to == p) continue;
head[to] = (g[idx][0] == to ? head[idx] : to);
dfs_hld(to, idx, times);
}
out[idx] = times;
}
};
#line 8 "test/verify/aoj-2450.test.cpp"
int main() {
int N, Q;
cin >> N >> Q;
vector< int > S(N);
for (int i = 0; i < N; i++) {
cin >> S[i];
}
HeavyLightDecomposition< int64 > tree(N);
tree.read(N - 1);
tree.build();
struct Node {
int64 ans, all, left, right, length;
Node(): ans(-infll), all(0), left(-infll), right(-infll), length(0) {}
Node(int64 val, int64 len) {
length = len;
all = val * length;
ans = left = right = (val > 0 ? all : val);
}
Node operator+(const Node &s) const {
Node ret;
ret.length = length + s.length;
ret.ans = max({ans, s.ans, right + s.left});
ret.all = all + s.all;
ret.left = max(left, all + s.left);
ret.right = max(s.right, right + s.all);
return ret;
}
};
auto F = [](const Node &a, const Node &b) { return a + b; };
auto G = [](const Node& x, int64 f) -> Node { return {f, x.length}; };
auto H = [](int64 f, int64 g) { return g; };
auto e = []() { return Node(); };
auto id = []() { return infll; };
vector< Node > vs(N);
for (int i = 0; i < N; i++) vs[i] = {S[tree.rev[i]], 1};
LazySegmentTree seg(LambdaActedMonoid(F, e, G, H, id), vs);
auto QF = [&](int a, int b) { return seg.prod(a, b); };
auto QG = [](const Node &a, const Node &b) { return a + b; };
auto QS = [](Node l, const Node &r) {
swap(l.left, l.right);
return l + r;
};
while (Q--) {
int T, A, B, C;
cin >> T >> A >> B >> C;
--A, --B;
if (T == 1) {
tree.add(A, B, [&](int a, int b) { seg.apply(a, b, C); });
} else {
cout << tree.query(A, B, Node(), QF, QG, QS).ans << "\n";
}
}
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | testcase_00 |
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5 ms | 3 MB |
g++ | testcase_01 |
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5 ms | 3 MB |
g++ | testcase_02 |
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5 ms | 3 MB |
g++ | testcase_03 |
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5 ms | 3 MB |
g++ | testcase_04 |
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5 ms | 4 MB |
g++ | testcase_05 |
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64 ms | 10 MB |
g++ | testcase_06 |
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112 ms | 35 MB |
g++ | testcase_07 |
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208 ms | 71 MB |
g++ | testcase_08 |
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5 ms | 3 MB |
g++ | testcase_09 |
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15 ms | 4 MB |
g++ | testcase_10 |
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142 ms | 59 MB |
g++ | testcase_11 |
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5 ms | 3 MB |
g++ | testcase_12 |
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5 ms | 3 MB |
g++ | testcase_13 |
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5 ms | 4 MB |
g++ | testcase_14 |
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6 ms | 4 MB |
g++ | testcase_15 |
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15 ms | 4 MB |
g++ | testcase_16 |
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77 ms | 6 MB |
g++ | testcase_17 |
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148 ms | 17 MB |
g++ | testcase_18 |
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190 ms | 32 MB |
g++ | testcase_19 |
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327 ms | 60 MB |
g++ | testcase_20 |
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5 ms | 3 MB |
g++ | testcase_21 |
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5 ms | 4 MB |
g++ | testcase_22 |
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8 ms | 4 MB |
g++ | testcase_23 |
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56 ms | 5 MB |
g++ | testcase_24 |
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168 ms | 28 MB |
g++ | testcase_25 |
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279 ms | 60 MB |
g++ | testcase_26 |
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5 ms | 3 MB |
g++ | testcase_27 |
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110 ms | 10 MB |
g++ | testcase_28 |
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194 ms | 32 MB |
g++ | testcase_29 |
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270 ms | 60 MB |
g++ | testcase_30 |
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5 ms | 3 MB |
g++ | testcase_31 |
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6 ms | 4 MB |
g++ | testcase_32 |
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18 ms | 4 MB |
g++ | testcase_33 |
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86 ms | 15 MB |
g++ | testcase_34 |
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126 ms | 32 MB |
g++ | testcase_35 |
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189 ms | 58 MB |
g++ | testcase_36 |
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192 ms | 59 MB |
g++ | testcase_37 |
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205 ms | 60 MB |
g++ | testcase_38 |
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205 ms | 60 MB |
clang++ | testcase_00 |
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5 ms | 3 MB |
clang++ | testcase_01 |
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5 ms | 3 MB |
clang++ | testcase_02 |
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5 ms | 3 MB |
clang++ | testcase_03 |
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5 ms | 3 MB |
clang++ | testcase_04 |
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5 ms | 4 MB |
clang++ | testcase_05 |
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67 ms | 11 MB |
clang++ | testcase_06 |
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117 ms | 37 MB |
clang++ | testcase_07 |
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211 ms | 79 MB |
clang++ | testcase_08 |
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5 ms | 3 MB |
clang++ | testcase_09 |
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16 ms | 4 MB |
clang++ | testcase_10 |
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137 ms | 59 MB |
clang++ | testcase_11 |
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5 ms | 3 MB |
clang++ | testcase_12 |
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5 ms | 3 MB |
clang++ | testcase_13 |
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5 ms | 4 MB |
clang++ | testcase_14 |
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6 ms | 4 MB |
clang++ | testcase_15 |
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15 ms | 4 MB |
clang++ | testcase_16 |
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80 ms | 6 MB |
clang++ | testcase_17 |
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156 ms | 18 MB |
clang++ | testcase_18 |
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197 ms | 32 MB |
clang++ | testcase_19 |
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282 ms | 60 MB |
clang++ | testcase_20 |
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5 ms | 3 MB |
clang++ | testcase_21 |
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5 ms | 4 MB |
clang++ | testcase_22 |
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8 ms | 4 MB |
clang++ | testcase_23 |
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59 ms | 5 MB |
clang++ | testcase_24 |
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173 ms | 28 MB |
clang++ | testcase_25 |
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301 ms | 60 MB |
clang++ | testcase_26 |
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5 ms | 3 MB |
clang++ | testcase_27 |
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117 ms | 10 MB |
clang++ | testcase_28 |
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205 ms | 32 MB |
clang++ | testcase_29 |
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285 ms | 60 MB |
clang++ | testcase_30 |
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5 ms | 3 MB |
clang++ | testcase_31 |
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6 ms | 3 MB |
clang++ | testcase_32 |
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18 ms | 4 MB |
clang++ | testcase_33 |
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89 ms | 15 MB |
clang++ | testcase_34 |
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125 ms | 32 MB |
clang++ | testcase_35 |
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194 ms | 58 MB |
clang++ | testcase_36 |
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197 ms | 59 MB |
clang++ | testcase_37 |
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199 ms | 60 MB |
clang++ | testcase_38 |
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206 ms | 60 MB |