// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii; typedef pair<ll,ll> pll;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
template<class I>bool chmax(I&a,I b){return a<b?(a=b,true):false;}
template<class I>bool chmin(I&a,I b){return b<a?(a=b,true):false;}
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#pragma GCC optimize("Ofast")
#define debug(...) ((void)0)
#endif
const int kN = 100001;
int n, q; ll w;
pii edg[kN];
ll wei[kN];
vector<pii> adj[kN];
int in[kN], ou[kN], tot;
ll eu[kN * 2];
struct NOD {
ll mnv, mxv, lft, rgt, ans, tag;
NOD(ll v = 0): mnv(v), mxv(v), lft(-v), rgt(-v), ans(0), tag(0) {}
} nod[kN * 4];
void merge(NOD l, NOD r, NOD &u){
ll tl = l.tag, tr = r.tag;
u.mnv = min(l.mnv + tl, r.mnv + tr);
u.mxv = max(l.mxv + tl, r.mxv + tr);
u.lft = max({ l.lft - tl, r.lft - tr, l.mxv + tl - 2 * (r.mnv + tr) });
u.rgt = max({ l.rgt - tl, r.rgt - tr, r.mxv + tr - 2 * (l.mnv + tl) });
u.ans = max({ l.ans, r.ans, l.lft - tl + r.mxv + tr, l.mxv + tl + r.rgt - tr });
}
constexpr int id(int l, int r){ return (l + r) | (l != r); }
void build(int l, int r){
int i = id(l, r);
if(l == r){ nod[i] = NOD(eu[l]); return; }
int m = (l + r) / 2;
build(l, m);
build(m+1, r);
merge(nod[id(l, m)], nod[id(m+1, r)], nod[i]);
}
void modify(int l, int r, int ql, int qr, ll v){
int i = id(l, r);
if(ql <= l and r <= qr){
nod[i].tag += v;
return;
}
int m = (l + r) / 2;
if(ql <= m) modify(l, m, ql, qr, v);
if(m+1 <= qr) modify(m+1, r, ql, qr, v);
merge(nod[id(l, m)], nod[id(m+1, r)], nod[i]);
}
void dfs(int u, int p = 0, ll d = 0){
in[u] = tot; eu[tot++] = d;
for(auto [v, i]: adj[u]){
if(v == p) continue;
if(edg[i].ff == v) swap(edg[i].ff, edg[i].ss);
dfs(v, u, d + wei[i]);
eu[tot++] = d;
}
ou[u] = tot - 1;
}
void init(){
dfs(1);
build(0, tot - 1);
}
ll upd(int d, ll e){
int u = edg[d].ss;
ll v = e - wei[d];
wei[d] = e;
modify(0, tot-1, in[u], ou[u], v);
return nod[id(0, tot-1)].ans + nod[id(0, tot-1)].tag;
}
signed main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin >> n >> q >> w;
for(int i = 0; i < n-1; ++i){
int u, v; ll c; cin >> u >> v >> c;
edg[i] = pii(u, v);
wei[i] = c;
adj[u].pb(v, i);
adj[v].pb(u, i);
}
init();
ll last = 0;
for(int i = 0; i < q; ++i){
ll d, e; cin >> d >> e;
d = (d + last) % (n-1);
e = (e + last) % w;
last = upd(d, e);
cout << last << '\n';
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
21452 KB |
Output is correct |
2 |
Correct |
12 ms |
21360 KB |
Output is correct |
3 |
Correct |
12 ms |
21452 KB |
Output is correct |
4 |
Correct |
11 ms |
21404 KB |
Output is correct |
5 |
Correct |
11 ms |
21452 KB |
Output is correct |
6 |
Correct |
11 ms |
21428 KB |
Output is correct |
7 |
Correct |
11 ms |
21480 KB |
Output is correct |
8 |
Correct |
11 ms |
21452 KB |
Output is correct |
9 |
Correct |
11 ms |
21464 KB |
Output is correct |
10 |
Correct |
11 ms |
21452 KB |
Output is correct |
11 |
Correct |
11 ms |
21388 KB |
Output is correct |
12 |
Correct |
10 ms |
21452 KB |
Output is correct |
13 |
Correct |
10 ms |
21452 KB |
Output is correct |
14 |
Correct |
11 ms |
21436 KB |
Output is correct |
15 |
Correct |
11 ms |
21432 KB |
Output is correct |
16 |
Correct |
11 ms |
21388 KB |
Output is correct |
17 |
Correct |
11 ms |
21376 KB |
Output is correct |
18 |
Correct |
10 ms |
21452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
21452 KB |
Output is correct |
2 |
Correct |
12 ms |
21360 KB |
Output is correct |
3 |
Correct |
12 ms |
21452 KB |
Output is correct |
4 |
Correct |
11 ms |
21404 KB |
Output is correct |
5 |
Correct |
11 ms |
21452 KB |
Output is correct |
6 |
Correct |
11 ms |
21428 KB |
Output is correct |
7 |
Correct |
11 ms |
21480 KB |
Output is correct |
8 |
Correct |
11 ms |
21452 KB |
Output is correct |
9 |
Correct |
11 ms |
21464 KB |
Output is correct |
10 |
Correct |
11 ms |
21452 KB |
Output is correct |
11 |
Correct |
11 ms |
21388 KB |
Output is correct |
12 |
Correct |
10 ms |
21452 KB |
Output is correct |
13 |
Correct |
10 ms |
21452 KB |
Output is correct |
14 |
Correct |
11 ms |
21436 KB |
Output is correct |
15 |
Correct |
11 ms |
21432 KB |
Output is correct |
16 |
Correct |
11 ms |
21388 KB |
Output is correct |
17 |
Correct |
11 ms |
21376 KB |
Output is correct |
18 |
Correct |
10 ms |
21452 KB |
Output is correct |
19 |
Correct |
14 ms |
21576 KB |
Output is correct |
20 |
Correct |
14 ms |
21464 KB |
Output is correct |
21 |
Correct |
16 ms |
21556 KB |
Output is correct |
22 |
Correct |
16 ms |
21600 KB |
Output is correct |
23 |
Correct |
17 ms |
21836 KB |
Output is correct |
24 |
Correct |
18 ms |
21856 KB |
Output is correct |
25 |
Correct |
18 ms |
21932 KB |
Output is correct |
26 |
Correct |
19 ms |
22228 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
21452 KB |
Output is correct |
2 |
Correct |
11 ms |
21396 KB |
Output is correct |
3 |
Correct |
11 ms |
21436 KB |
Output is correct |
4 |
Correct |
18 ms |
21452 KB |
Output is correct |
5 |
Correct |
53 ms |
21840 KB |
Output is correct |
6 |
Correct |
10 ms |
21452 KB |
Output is correct |
7 |
Correct |
11 ms |
21512 KB |
Output is correct |
8 |
Correct |
11 ms |
21476 KB |
Output is correct |
9 |
Correct |
13 ms |
21452 KB |
Output is correct |
10 |
Correct |
24 ms |
21700 KB |
Output is correct |
11 |
Correct |
66 ms |
21956 KB |
Output is correct |
12 |
Correct |
13 ms |
21852 KB |
Output is correct |
13 |
Correct |
14 ms |
21836 KB |
Output is correct |
14 |
Correct |
14 ms |
21848 KB |
Output is correct |
15 |
Correct |
29 ms |
21896 KB |
Output is correct |
16 |
Correct |
86 ms |
22340 KB |
Output is correct |
17 |
Correct |
52 ms |
29180 KB |
Output is correct |
18 |
Correct |
54 ms |
29168 KB |
Output is correct |
19 |
Correct |
68 ms |
29240 KB |
Output is correct |
20 |
Correct |
80 ms |
29420 KB |
Output is correct |
21 |
Correct |
206 ms |
29784 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
21452 KB |
Output is correct |
2 |
Correct |
19 ms |
21572 KB |
Output is correct |
3 |
Correct |
48 ms |
21756 KB |
Output is correct |
4 |
Correct |
85 ms |
21972 KB |
Output is correct |
5 |
Correct |
17 ms |
22220 KB |
Output is correct |
6 |
Correct |
26 ms |
22304 KB |
Output is correct |
7 |
Correct |
65 ms |
22480 KB |
Output is correct |
8 |
Correct |
117 ms |
22724 KB |
Output is correct |
9 |
Correct |
36 ms |
25360 KB |
Output is correct |
10 |
Correct |
61 ms |
25412 KB |
Output is correct |
11 |
Correct |
107 ms |
25780 KB |
Output is correct |
12 |
Correct |
171 ms |
25912 KB |
Output is correct |
13 |
Correct |
61 ms |
29248 KB |
Output is correct |
14 |
Correct |
90 ms |
29304 KB |
Output is correct |
15 |
Correct |
141 ms |
29460 KB |
Output is correct |
16 |
Correct |
226 ms |
29808 KB |
Output is correct |
17 |
Correct |
240 ms |
29808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
288 ms |
30616 KB |
Output is correct |
2 |
Correct |
278 ms |
30532 KB |
Output is correct |
3 |
Correct |
270 ms |
30472 KB |
Output is correct |
4 |
Correct |
298 ms |
30584 KB |
Output is correct |
5 |
Correct |
310 ms |
30632 KB |
Output is correct |
6 |
Correct |
247 ms |
30648 KB |
Output is correct |
7 |
Correct |
303 ms |
33348 KB |
Output is correct |
8 |
Correct |
298 ms |
33408 KB |
Output is correct |
9 |
Correct |
313 ms |
33344 KB |
Output is correct |
10 |
Correct |
304 ms |
33392 KB |
Output is correct |
11 |
Correct |
314 ms |
33220 KB |
Output is correct |
12 |
Correct |
267 ms |
32736 KB |
Output is correct |
13 |
Correct |
347 ms |
37700 KB |
Output is correct |
14 |
Correct |
386 ms |
37700 KB |
Output is correct |
15 |
Correct |
379 ms |
37700 KB |
Output is correct |
16 |
Correct |
379 ms |
37700 KB |
Output is correct |
17 |
Correct |
382 ms |
37040 KB |
Output is correct |
18 |
Correct |
340 ms |
34360 KB |
Output is correct |
19 |
Correct |
354 ms |
37744 KB |
Output is correct |
20 |
Correct |
361 ms |
38080 KB |
Output is correct |
21 |
Correct |
356 ms |
37708 KB |
Output is correct |
22 |
Correct |
373 ms |
37624 KB |
Output is correct |
23 |
Correct |
357 ms |
37040 KB |
Output is correct |
24 |
Correct |
314 ms |
34364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
11 ms |
21452 KB |
Output is correct |
2 |
Correct |
12 ms |
21360 KB |
Output is correct |
3 |
Correct |
12 ms |
21452 KB |
Output is correct |
4 |
Correct |
11 ms |
21404 KB |
Output is correct |
5 |
Correct |
11 ms |
21452 KB |
Output is correct |
6 |
Correct |
11 ms |
21428 KB |
Output is correct |
7 |
Correct |
11 ms |
21480 KB |
Output is correct |
8 |
Correct |
11 ms |
21452 KB |
Output is correct |
9 |
Correct |
11 ms |
21464 KB |
Output is correct |
10 |
Correct |
11 ms |
21452 KB |
Output is correct |
11 |
Correct |
11 ms |
21388 KB |
Output is correct |
12 |
Correct |
10 ms |
21452 KB |
Output is correct |
13 |
Correct |
10 ms |
21452 KB |
Output is correct |
14 |
Correct |
11 ms |
21436 KB |
Output is correct |
15 |
Correct |
11 ms |
21432 KB |
Output is correct |
16 |
Correct |
11 ms |
21388 KB |
Output is correct |
17 |
Correct |
11 ms |
21376 KB |
Output is correct |
18 |
Correct |
10 ms |
21452 KB |
Output is correct |
19 |
Correct |
14 ms |
21576 KB |
Output is correct |
20 |
Correct |
14 ms |
21464 KB |
Output is correct |
21 |
Correct |
16 ms |
21556 KB |
Output is correct |
22 |
Correct |
16 ms |
21600 KB |
Output is correct |
23 |
Correct |
17 ms |
21836 KB |
Output is correct |
24 |
Correct |
18 ms |
21856 KB |
Output is correct |
25 |
Correct |
18 ms |
21932 KB |
Output is correct |
26 |
Correct |
19 ms |
22228 KB |
Output is correct |
27 |
Correct |
11 ms |
21452 KB |
Output is correct |
28 |
Correct |
11 ms |
21396 KB |
Output is correct |
29 |
Correct |
11 ms |
21436 KB |
Output is correct |
30 |
Correct |
18 ms |
21452 KB |
Output is correct |
31 |
Correct |
53 ms |
21840 KB |
Output is correct |
32 |
Correct |
10 ms |
21452 KB |
Output is correct |
33 |
Correct |
11 ms |
21512 KB |
Output is correct |
34 |
Correct |
11 ms |
21476 KB |
Output is correct |
35 |
Correct |
13 ms |
21452 KB |
Output is correct |
36 |
Correct |
24 ms |
21700 KB |
Output is correct |
37 |
Correct |
66 ms |
21956 KB |
Output is correct |
38 |
Correct |
13 ms |
21852 KB |
Output is correct |
39 |
Correct |
14 ms |
21836 KB |
Output is correct |
40 |
Correct |
14 ms |
21848 KB |
Output is correct |
41 |
Correct |
29 ms |
21896 KB |
Output is correct |
42 |
Correct |
86 ms |
22340 KB |
Output is correct |
43 |
Correct |
52 ms |
29180 KB |
Output is correct |
44 |
Correct |
54 ms |
29168 KB |
Output is correct |
45 |
Correct |
68 ms |
29240 KB |
Output is correct |
46 |
Correct |
80 ms |
29420 KB |
Output is correct |
47 |
Correct |
206 ms |
29784 KB |
Output is correct |
48 |
Correct |
12 ms |
21452 KB |
Output is correct |
49 |
Correct |
19 ms |
21572 KB |
Output is correct |
50 |
Correct |
48 ms |
21756 KB |
Output is correct |
51 |
Correct |
85 ms |
21972 KB |
Output is correct |
52 |
Correct |
17 ms |
22220 KB |
Output is correct |
53 |
Correct |
26 ms |
22304 KB |
Output is correct |
54 |
Correct |
65 ms |
22480 KB |
Output is correct |
55 |
Correct |
117 ms |
22724 KB |
Output is correct |
56 |
Correct |
36 ms |
25360 KB |
Output is correct |
57 |
Correct |
61 ms |
25412 KB |
Output is correct |
58 |
Correct |
107 ms |
25780 KB |
Output is correct |
59 |
Correct |
171 ms |
25912 KB |
Output is correct |
60 |
Correct |
61 ms |
29248 KB |
Output is correct |
61 |
Correct |
90 ms |
29304 KB |
Output is correct |
62 |
Correct |
141 ms |
29460 KB |
Output is correct |
63 |
Correct |
226 ms |
29808 KB |
Output is correct |
64 |
Correct |
240 ms |
29808 KB |
Output is correct |
65 |
Correct |
288 ms |
30616 KB |
Output is correct |
66 |
Correct |
278 ms |
30532 KB |
Output is correct |
67 |
Correct |
270 ms |
30472 KB |
Output is correct |
68 |
Correct |
298 ms |
30584 KB |
Output is correct |
69 |
Correct |
310 ms |
30632 KB |
Output is correct |
70 |
Correct |
247 ms |
30648 KB |
Output is correct |
71 |
Correct |
303 ms |
33348 KB |
Output is correct |
72 |
Correct |
298 ms |
33408 KB |
Output is correct |
73 |
Correct |
313 ms |
33344 KB |
Output is correct |
74 |
Correct |
304 ms |
33392 KB |
Output is correct |
75 |
Correct |
314 ms |
33220 KB |
Output is correct |
76 |
Correct |
267 ms |
32736 KB |
Output is correct |
77 |
Correct |
347 ms |
37700 KB |
Output is correct |
78 |
Correct |
386 ms |
37700 KB |
Output is correct |
79 |
Correct |
379 ms |
37700 KB |
Output is correct |
80 |
Correct |
379 ms |
37700 KB |
Output is correct |
81 |
Correct |
382 ms |
37040 KB |
Output is correct |
82 |
Correct |
340 ms |
34360 KB |
Output is correct |
83 |
Correct |
354 ms |
37744 KB |
Output is correct |
84 |
Correct |
361 ms |
38080 KB |
Output is correct |
85 |
Correct |
356 ms |
37708 KB |
Output is correct |
86 |
Correct |
373 ms |
37624 KB |
Output is correct |
87 |
Correct |
357 ms |
37040 KB |
Output is correct |
88 |
Correct |
314 ms |
34364 KB |
Output is correct |
89 |
Correct |
275 ms |
30176 KB |
Output is correct |
90 |
Correct |
273 ms |
30572 KB |
Output is correct |
91 |
Correct |
304 ms |
32108 KB |
Output is correct |
92 |
Correct |
294 ms |
32112 KB |
Output is correct |
93 |
Correct |
408 ms |
34616 KB |
Output is correct |
94 |
Correct |
325 ms |
33480 KB |
Output is correct |
95 |
Correct |
342 ms |
35264 KB |
Output is correct |
96 |
Correct |
362 ms |
34136 KB |
Output is correct |
97 |
Correct |
341 ms |
35156 KB |
Output is correct |
98 |
Correct |
370 ms |
37596 KB |
Output is correct |
99 |
Correct |
342 ms |
34892 KB |
Output is correct |
100 |
Correct |
380 ms |
35136 KB |
Output is correct |