#pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ALL(x) (x).begin(), (x).end() #define PPC(x) __builtin_popcountll(x) #define MSB(x) (63 - __builtin_clzll(x)) #define LSB(x) __builtin_ctzll(x) #define ARG(x, i) (get<i>(x)) #define ithBit(m, i) ((m) >> (i) & 1) #define pb push_back #define ft first #define sd second #define kw(a) ((a) * (a)) #define CLR(x) x.clear(), x.shrink_to_fit() #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); } const int maxN = 1 << 19, maxTS = maxN * 4, mod = 1'000'000'007; template <typename T1, typename T2> inline void addMod(T1& a, T2 b) { a = (a + b) % mod; } template <typename T1, typename T2> inline void multMod(T1& a, T2 b) { a = a * b % mod; } long long qpow(long long a, long long b) { long long ret = 1ll; for (; b != 0; b /= 2) { if (b & 1) multMod(ret, a); multMod(a, a); } return ret; } template <typename Tp> struct Tree_t { int offset, qbegin, qend; Tp T[maxTS], x; void upriv(int v, int left, int right) { if (left >= qend or right <= qbegin) return; if (left >= qbegin and right <= qend) { T[v] = x; return; } upriv(v * 2, left, (left + right) / 2); upriv(v*2+1, (left + right) / 2, right); } void init(int n) { for (offset = 1; offset < n; offset *= 2) ; } void upd(int a, int b, int val) { qbegin = a + offset; qend = b + offset; x = val; upriv(1, offset, offset * 2); } int query(int v) { int ret = 0; for (v += offset; v != 0; v /= 2) remax(ret, T[v]); return ret; } }; typedef Tree_t <int> Tree; Tree tree; int L[maxN], R[maxN], ancs[maxN], vis[maxN], visCtr; void dfs(int v) { vis[v] = visCtr; ancs[v]++; for (int u : { L[v], R[v] }) if (u and vis[u] != visCtr) dfs(u); } void solve() { int n; scanf ("%d", &n); tree.init(n*2+1); FOR(i, 1, n+1) { int a, b; scanf ("%d%d", &a, &b); L[i] = tree.query(a); R[i] = tree.query(b); tree.upd(a, b, i); visCtr++; dfs(i); } long long res = 0; FOR(i, 1, n+1) addMod(res, qpow(ancs[i], mod-2)); printf("%lld\n", res); } int main() { int t = 1; // scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 | #pragma GCC optimize ("Ofast") #define _USE_MATH_DEFINES #include <bits/stdc++.h> #define FOR(i, a, b) for (auto i=(a); i<(b); i++) #define FORD(i, a, b) for (int i=(a); i>(b); i--) #define SZ(x) ((int)(x).size()) #define ALL(x) (x).begin(), (x).end() #define PPC(x) __builtin_popcountll(x) #define MSB(x) (63 - __builtin_clzll(x)) #define LSB(x) __builtin_ctzll(x) #define ARG(x, i) (get<i>(x)) #define ithBit(m, i) ((m) >> (i) & 1) #define pb push_back #define ft first #define sd second #define kw(a) ((a) * (a)) #define CLR(x) x.clear(), x.shrink_to_fit() #ifdef DEBUG #include "debug.h" #else #define dbg(...) 0 #endif using namespace std; template <typename T1, typename T2> inline void remin(T1& a, T2 b) { a = min(a, (T1)b); } template <typename T1, typename T2> inline void remax(T1& a, T2 b) { a = max(a, (T1)b); } const int maxN = 1 << 19, maxTS = maxN * 4, mod = 1'000'000'007; template <typename T1, typename T2> inline void addMod(T1& a, T2 b) { a = (a + b) % mod; } template <typename T1, typename T2> inline void multMod(T1& a, T2 b) { a = a * b % mod; } long long qpow(long long a, long long b) { long long ret = 1ll; for (; b != 0; b /= 2) { if (b & 1) multMod(ret, a); multMod(a, a); } return ret; } template <typename Tp> struct Tree_t { int offset, qbegin, qend; Tp T[maxTS], x; void upriv(int v, int left, int right) { if (left >= qend or right <= qbegin) return; if (left >= qbegin and right <= qend) { T[v] = x; return; } upriv(v * 2, left, (left + right) / 2); upriv(v*2+1, (left + right) / 2, right); } void init(int n) { for (offset = 1; offset < n; offset *= 2) ; } void upd(int a, int b, int val) { qbegin = a + offset; qend = b + offset; x = val; upriv(1, offset, offset * 2); } int query(int v) { int ret = 0; for (v += offset; v != 0; v /= 2) remax(ret, T[v]); return ret; } }; typedef Tree_t <int> Tree; Tree tree; int L[maxN], R[maxN], ancs[maxN], vis[maxN], visCtr; void dfs(int v) { vis[v] = visCtr; ancs[v]++; for (int u : { L[v], R[v] }) if (u and vis[u] != visCtr) dfs(u); } void solve() { int n; scanf ("%d", &n); tree.init(n*2+1); FOR(i, 1, n+1) { int a, b; scanf ("%d%d", &a, &b); L[i] = tree.query(a); R[i] = tree.query(b); tree.upd(a, b, i); visCtr++; dfs(i); } long long res = 0; FOR(i, 1, n+1) addMod(res, qpow(ancs[i], mod-2)); printf("%lld\n", res); } int main() { int t = 1; // scanf ("%d", &t); FOR(tid, 1, t+1) { //printf("Case #%d: ", tid); solve(); } return 0; } |