//Sylwia Sapkowska #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; using ordered_set = tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); typedef long long LL; typedef long double LD; typedef pair<int, int> pii; typedef pair<LL,LL> pll; typedef pair<LD,LD> pdd; typedef vector<int> vi; typedef vector<bool> vb; typedef vector<LD> vld; typedef vector<LL> vll; typedef vector<pii> vpii; typedef vector<pll> vpll; template<class T> using pq = priority_queue<T>; template<class T> using pqg = priority_queue<T, vector<T>, greater<T>>; #define rep(i, a, b) for (int i=a; i<(b); i++) #define repd(i,a,b) for (int i = (a); i >= b; i--) #define sz(x) (int)(x).size() #define pb push_back #define st first #define nd second #define lb lower_bound #define ub upper_bound #define all(x) x.begin(), x.end() #define memo(x) memset(x, 0, sizeof(x)) #define debug(x) cerr << x << " " #define PI 3.14159265359 const LL MOD = 1e9+7; LL losuj(LL a, LL b){ return a+rng()%(b-a+1); } struct segtree{ vll tab; int size = 1; segtree(int n){ while (size < n) size*=2; tab.assign(2*size+1, 0LL); } LL query(int l, int r){ LL ans = 0LL; l = l+size-1; r = r+size+1; while (r-l>1){ if (!(l&1)) ans = (ans + tab[l+1])%MOD; if (r&1) ans = (ans + tab[r-1])%MOD; l/=2; r/=2; } return ans; } void update(int pos, LL val){ pos+=size; tab[pos] = (tab[pos]+val)%MOD; while (pos>0){ pos/=2; tab[pos] = (tab[2*pos]+tab[2*pos+1])%MOD; } } }; void solve(){ int n; cin >> n; vll a(n+1), pref(n+1, 0LL), scaler, dp(n+1, 0LL); rep(i, 1, n+1) cin >> a[i]; rep(i, 1, n+1) { pref[i] = (pref[i-1]+a[i])%MOD; scaler.pb(pref[i]); } scaler.pb(0); sort(all(scaler)); scaler.erase(unique(all(scaler)), scaler.end()); segtree even(n+2), odd(n+2); map<int, int>seven; rep(i, 0, sz(scaler)) seven[scaler[i]] = i; even.update(seven[0], 1); rep(i, 1, n+1){ if (pref[i]&1){ dp[i] = (odd.query(0, seven[pref[i]]) + even.query(seven[pref[i]]+1, even.size-1))%MOD; odd.update(seven[pref[i]], dp[i]); } else { dp[i] = (even.query(0, seven[pref[i]]) + odd.query(seven[pref[i]]+1, odd.size-1))%MOD; even.update(seven[pref[i]], dp[i]); } //debug(dp[i]); } cout << dp[n] << "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; //cin >> t; while (t--) 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 | //Sylwia Sapkowska #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> using namespace std; using namespace __gnu_pbds; using ordered_set = tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update>; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); typedef long long LL; typedef long double LD; typedef pair<int, int> pii; typedef pair<LL,LL> pll; typedef pair<LD,LD> pdd; typedef vector<int> vi; typedef vector<bool> vb; typedef vector<LD> vld; typedef vector<LL> vll; typedef vector<pii> vpii; typedef vector<pll> vpll; template<class T> using pq = priority_queue<T>; template<class T> using pqg = priority_queue<T, vector<T>, greater<T>>; #define rep(i, a, b) for (int i=a; i<(b); i++) #define repd(i,a,b) for (int i = (a); i >= b; i--) #define sz(x) (int)(x).size() #define pb push_back #define st first #define nd second #define lb lower_bound #define ub upper_bound #define all(x) x.begin(), x.end() #define memo(x) memset(x, 0, sizeof(x)) #define debug(x) cerr << x << " " #define PI 3.14159265359 const LL MOD = 1e9+7; LL losuj(LL a, LL b){ return a+rng()%(b-a+1); } struct segtree{ vll tab; int size = 1; segtree(int n){ while (size < n) size*=2; tab.assign(2*size+1, 0LL); } LL query(int l, int r){ LL ans = 0LL; l = l+size-1; r = r+size+1; while (r-l>1){ if (!(l&1)) ans = (ans + tab[l+1])%MOD; if (r&1) ans = (ans + tab[r-1])%MOD; l/=2; r/=2; } return ans; } void update(int pos, LL val){ pos+=size; tab[pos] = (tab[pos]+val)%MOD; while (pos>0){ pos/=2; tab[pos] = (tab[2*pos]+tab[2*pos+1])%MOD; } } }; void solve(){ int n; cin >> n; vll a(n+1), pref(n+1, 0LL), scaler, dp(n+1, 0LL); rep(i, 1, n+1) cin >> a[i]; rep(i, 1, n+1) { pref[i] = (pref[i-1]+a[i])%MOD; scaler.pb(pref[i]); } scaler.pb(0); sort(all(scaler)); scaler.erase(unique(all(scaler)), scaler.end()); segtree even(n+2), odd(n+2); map<int, int>seven; rep(i, 0, sz(scaler)) seven[scaler[i]] = i; even.update(seven[0], 1); rep(i, 1, n+1){ if (pref[i]&1){ dp[i] = (odd.query(0, seven[pref[i]]) + even.query(seven[pref[i]]+1, even.size-1))%MOD; odd.update(seven[pref[i]], dp[i]); } else { dp[i] = (even.query(0, seven[pref[i]]) + odd.query(seven[pref[i]]+1, odd.size-1))%MOD; even.update(seven[pref[i]], dp[i]); } //debug(dp[i]); } cout << dp[n] << "\n"; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); int t = 1; //cin >> t; while (t--) solve(); return 0; } |