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  1. /*
  2. * @Author: hungeazy
  3. * @Date:   2025-10-22 11:14:47
  4. * @Last Modified by:   hungeazy
  5. * @Last Modified time: 2025-10-23 14:24:21
  6. */
  7. #include <bits/stdc++.h>
  8. #include <ext/pb_ds/assoc_container.hpp> 
  9. #include <ext/pb_ds/tree_policy.hpp> 
  10. // #pragma GCC optimize("O3")  
  11. // #pragma GCC optimize("unroll-loops")  
  12. // #pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")  
  13. using namespace std;
  14. using namespace __gnu_pbds; 
  15. bool M1;
  16. #define fast ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL);
  17. #define int long long
  18. #define ll long long 
  19. #define ull unsigned long long
  20. #define sz(x) x.size()
  21. #define sqr(x) (1LL * (x) * (x))
  22. #define all(x) x.begin(), x.end()
  23. #define fill(f,x) memset(f,x,sizeof(f))
  24. #define FOR(i,l,r) for(int i=l;i<=r;i++)
  25. #define FOD(i,r,l) for(int i=r;i>=l;i--)
  26. #define debug(x) cout << #x << " = " << x << '\n'
  27. #define ii pair<int,int>
  28. #define iii pair<int,ii>
  29. #define di pair<ii,ii>
  30. #define vi vector<int>
  31. #define vii vector<ii>
  32. #define mii map<int,int>
  33. #define fi first
  34. #define se second
  35. #define pb push_back
  36. #define MOD 1000000007
  37. #define __lcm(a,b) (1ll * ((a) / __gcd((a), (b))) * (b))
  38. #define YES cout << "YES\n"
  39. #define NO cout << "NO\n"
  40. #define MASK(i) (1LL << (i))
  41. #define c_bit(i) __builtin_popcountll(i)
  42. #define BIT(x,i) ((x) & MASK(i))
  43. #define SET_ON(x,i) ((x) | MASK(i))
  44. #define SET_OFF(x,i) ((x) & ~MASK(i))
  45. #define oo 1e18
  46. #define name ""
  47. #define endl '\n'
  48. #define memory() cerr << abs(&M2-&M1)/1024.0/1024 << " MB" << endl
  49. #define time() cerr << endl << "-------------Time:" << 1000.0 * clock() / CLOCKS_PER_SEC << "ms." << endl
  50. template<typename T> bool maximize(T &res, const T &val) { if (res < val){ res = val; return true; }; return false; }
  51. template<typename T> bool minimize(T &res, const T &val) { if (res > val){ res = val; return true; }; return false; }
  52. template <class T> using ordered_set = tree <T, null_type, less_equal <T>, rb_tree_tag,tree_order_statistics_node_update>;
  53. const int N = (int)2e5+10;
  54. int n,m,q;
  55. array<int,3> edge[N];
  56.  
  57. struct Query {
  58. 	int l,r;
  59. } query[N];
  60.  
  61. namespace sub2 {
  62.  
  63. 	bool approved() {
  64. 		return n <= 2e3 and m <= 2e3 and q <= 2e3;
  65. 	}
  66.  
  67. 	struct DSU {
  68. 		int par[N],sz[N];
  69.  
  70. 		void init() {
  71. 			FOR(i,1,n+1) 
  72. 			{
  73. 				par[i] = i;
  74. 				sz[i] = 1;
  75. 			}
  76. 		}
  77.  
  78. 		int acs(int u) {
  79. 			return (par[u] == u ? u : par[u] = acs(par[u]));
  80. 		}
  81.  
  82. 		bool join(int u, int v)
  83. 		{
  84. 			int x = acs(u), y = acs(v);
  85. 			if (x != y)
  86. 			{
  87. 				if (sz[x] < sz[y]) swap(x,y);
  88. 				sz[x] += sz[y];
  89. 				par[y] = x;
  90. 				return true;
  91. 			}
  92. 			return false;
  93. 		}
  94. 	} dsu;
  95.  
  96. 	void solve(void)
  97. 	{
  98. 		sort(edge+1,edge+m+1,[&](array<int,3> &x, array<int,3> &y) {
  99. 			return x[2] < y[2];
  100. 		});
  101. 		FOR(j,1,q)
  102. 		{
  103. 			int l = query[j].l, r = query[j].r;
  104. 			l++; r++;
  105. 			dsu.init();
  106. 			FOR(i,l,r) dsu.join(i,n+1);
  107. 			int ans = 0;
  108. 			FOR(i,1,m)
  109. 			{
  110. 				auto [u,v,w] = edge[i];
  111. 				if (dsu.join(u,v)) ans += w;
  112. 			}
  113. 			cout << ans << endl;
  114. 		}
  115. 	}
  116.  
  117. }
  118.  
  119. namespace sub7 {
  120.  
  121. 	vector<array<int,3>> upd[N];
  122. 	int ans[N],lastUpdate[N];
  123. 	vii Q[N];
  124.  
  125. 	struct SegmentTree {
  126. 		vi st,lazy;
  127. 		int n;
  128.  
  129. 		SegmentTree() {};
  130. 		SegmentTree(int _n):
  131. 			n(_n), st((_n<<2)+1,0), lazy((_n<<2)+1,0) {};
  132.  
  133. 		void down(int id, int l, int r)
  134. 		{
  135. 			if (!lazy[id]) return;
  136. 			int &k = lazy[id], mid = (l+r)>>1;
  137. 			st[id<<1] += k*(mid-l+1);
  138. 			st[id<<1|1] += k*(r-mid);
  139. 			for (int i : {id<<1,id<<1|1})
  140. 				lazy[i] += k;
  141. 			k = 0;
  142. 		}
  143.  
  144. 		void update(int id, int l, int r, int u, int v, int val)
  145. 		{
  146. 			if (l > v or r < u) return;
  147. 			if (l >= u and r <= v)
  148. 			{
  149. 				st[id] += val*(r-l+1);
  150. 				lazy[id] += val;
  151. 				return;
  152. 			}
  153. 			int mid = (l+r)>>1; down(id,l,r);
  154. 			update(id<<1,l,mid,u,v,val);
  155. 			update(id<<1|1,mid+1,r,u,v,val);
  156. 			st[id] = st[id<<1]+st[id<<1|1];
  157. 		}
  158.  
  159. 		int get(int id, int l, int r, int u, int v)
  160. 		{
  161. 			if (l > v or r < u) return 0;
  162. 			if (l >= u and r <= v) return st[id];
  163. 			int mid = (l+r)>>1; down(id,l,r);
  164. 			return get(id<<1,l,mid,u,v)+get(id<<1|1,mid+1,r,u,v);
  165. 		}
  166. 	} IT;
  167.  
  168. 	struct DSU {
  169. 		int par[N],sz[N];
  170. 		set<int> nodes[N];
  171.  
  172. 		void init() {
  173. 			FOR(i,0,n-1) 
  174. 			{
  175. 				par[i] = i;
  176. 				sz[i] = 1;
  177. 				nodes[i].insert(i);
  178. 			}
  179. 		}
  180.  
  181. 		int acs(int u) {
  182. 			return (u == par[u] ? u : par[u] = acs(par[u]));
  183. 		}
  184.  
  185. 		bool join(int i)
  186. 		{
  187. 			auto [u,v,w] = edge[i];
  188. 			u--; v--;
  189. 			int x = acs(u), y = acs(v);
  190. 			if (x != y)
  191. 			{
  192. 				if (sz[x] < sz[y]) swap(x,y);
  193. 				sz[x] += sz[y];
  194. 				par[y] = x;
  195. 				for (int v : nodes[y])
  196. 				{
  197. 					auto it = nodes[x].lower_bound(v);
  198. 					if (it != nodes[x].end())
  199. 						upd[v].pb({*it,-w,i});
  200. 					if (it != nodes[x].begin())
  201. 					{
  202. 						it--;
  203. 						upd[*it].pb({v,-w,i});
  204. 					}
  205. 				}
  206. 				for (int v : nodes[y]) nodes[x].insert(v);
  207. 				return true;
  208. 			}
  209. 			return false;
  210. 		}
  211. 	} dsu;
  212.  
  213. 	void solve(void)
  214. 	{
  215. 		FOR(i,1,q) Q[query[i].l].pb({query[i].r,i});
  216. 		dsu.init();
  217. 		sort(edge+1,edge+m+1,[&](array<int,3> &x, array<int,3> &y) {
  218. 			return x[2] < y[2];
  219. 		});
  220. 		FOR(i,1,m)
  221. 			if (dsu.join(i))
  222. 				ans[0] += edge[i][2];
  223. 		FOR(i,1,m) lastUpdate[i] = n;
  224. 		IT = SegmentTree(n);
  225. 		FOD(i,n-1,0)
  226. 		{
  227. 			for (auto x : upd[i])
  228. 				if (x[0] < lastUpdate[x[2]])
  229. 				{
  230. 					IT.update(1,0,n-1,x[0],lastUpdate[x[2]]-1,x[1]);
  231. 					lastUpdate[x[2]] = x[1];
  232. 				}
  233. 			for (auto x : Q[i])
  234. 				ans[x.se] = IT.get(1,0,n-1,x.fi,x.fi);
  235. 		}
  236. 		FOR(i,1,q) cout << ans[i]+ans[0] << endl;
  237. 	}
  238.  
  239. }
  240.  
  241. bool M2;
  242. signed main()
  243. {
  244.     fast;
  245.     if (fopen(name".inp","r"))
  246.     {
  247.     	freopen(name".inp","r",stdin);
  248.     	freopen(name".out","w",stdout);
  249.     }
  250.     cin >> n >> m >> q;
  251.     FOR(i,1,m)
  252.     {
  253.     	int u,v,w;
  254.     	cin >> u >> v >> w;
  255.     	u++; v++;
  256.     	edge[i] = {u,v,w};
  257.     }
  258.     FOR(i,1,q) cin >> query[i].l >> query[i].r;
  259.     // if (sub2::approved()) return sub2::solve(), time(), memory(), 0;
  260.     sub7::solve();
  261.     time();
  262.     memory();
  263.     return 0;
  264. }
  265. // ██░ ██  █    ██  ███▄    █   ▄████
  266. //▓██░ ██▒ ██  ▓██▒ ██ ▀█   █  ██▒ ▀█▒
  267. //▒██▀▀██░▓██  ▒██░▓██  ▀█ ██▒▒██░▄▄▄░
  268. //░▓█ ░██ ▓▓█  ░██░▓██▒  ▐▌██▒░▓█  ██▓
  269. //░▓█▒░██▓▒▒█████▓ ▒██░   ▓██░░▒▓███▀▒
  270. // ▒ ░░▒░▒░▒▓▒ ▒ ▒ ░ ▒░   ▒ ▒  ░▒   ▒
  271. // ▒ ░▒░ ░░░▒░ ░ ░ ░ ░░   ░ ▒░  ░   ░
  272. // ░  ░░ ░ ░░░ ░ ░    ░   ░ ░ ░ ░   ░
  273. // ░  ░  ░   ░              ░       ░
Success #stdin #stdout #stderr 0.01s 26180KB
comments (?)
stdin 
Standard input is empty
stdout 
Standard output is empty
stderr 
-------------Time:8.852ms.
35.0971 MB
https://ideone.com/i8x5BK
language:
C++14 (gcc 8.3)
created:
7 days ago
visibility:
public

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