#include <bits/stdc++.h> using namespace std; //{ #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define FORD(i, a, b) for(int i = (a); i >= (b); --i) #define VAR(v, i) __typeof(i) v=(i) #define all(v) (v).begin(),(v).end() #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define PII pair<int,int> #define st first #define nd second #define pb push_back #define lint long long int #define VI vector<int> #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } }; //{ #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #define make( x) int (x); scanf("%d",&(x)); #define make2( x, y) int (x), (y); scanf("%d%d",&(x),&(y)); #define make3(x, y, z) int (x), (y), (z); scanf("%d%d%d",&(x),&(y),&(z)); #define make4(x, y, z, t) int (x), (y), (z), (t); scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); #define makev(v,n) VI (v); FOR(i,0,(n)) { make(a); (v).pb(a);} #define IOS ios_base::sync_with_stdio(0) #define HEAP priority_queue #define read( x) scanf("%d",&(x)); #define read2( x, y) scanf("%d%d",&(x),&(y)); #define read3(x, y, z) scanf("%d%d%d",&(x),&(y),&(z)); #define read4(x, y, z, t) scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); #define readv(v,n) FOR(i,0,(n)) { make(a); (v).pb(a);} #define jeb() fflush(stdout); //} const int mod = 1e9 + 7; const int max_n = 300005; int r[max_n]; int ind[max_n]; int mind[max_n]; int rozne; int dp[max_n]; int fen[2][2][300005]; void add(int co, int gdzie, int rem, int dec) { //cerr << "DODAJE co=" << co <<" gdzie="<< gdzie << " rem=" << rem << "dec= " << dec << endl; while (gdzie <= rozne) { fen[rem][dec][gdzie] = (fen[rem][dec][gdzie] + co)%mod; gdzie += gdzie & (-gdzie); } } int ask(int gdzie, int rem, int dec) { //cerr << "PYTAM " << gdzie << " rem=" << rem << "dec= " << dec << endl; int ans = 0; while (gdzie > 0) { ans += fen[rem][dec][gdzie]; gdzie -= gdzie & (-gdzie); ans %= mod; } return ans; } int main() { make(n); makev(v, n); lint pref = 0; vector<PII> vr; vr.pb({0,n}); FOR(i,0,n) { pref += v[i]; r[i] = pref % mod; vr.pb({r[i],i}); } sort(all(vr)); rozne = 0; int act = -1; FOR(i,0,n+1) { if (i == 0 || (vr[i].st != vr[i-1].st)) { rozne++; ind[vr[i].nd] = rozne; } else { ind[vr[i].nd] = ind[vr[i-1].nd]; } } FOR(i,0,n+1) mind[i] = rozne + 1 - ind[i]; FOR(i,0,n+1) { //cerr << r[i] << " " << ind[i] << " " << mind[i] << endl; } dp[0] = 1; add(dp[0], ind[n], 0, 0); add(dp[0], mind[n], 0, 1); FOR(i,0,n) { dp[i+1] = (ask(ind[i], r[i] % 2, 0) + ask(mind[i] - 1, 1-(r[i]%2), 1))%mod; //cerr << "dp["<<(i+1) <<"] = " <<dp[i+1] << endl; add(dp[i+1], ind[i], r[i] % 2 , 0); add(dp[i+1], mind[i], r[i] % 2 , 1); } printf("%d\n", dp[n]); } /* j pasuje i <=> r[i] <= r[j] && r[i] == r[j] % 2 lub r[i] > r[j] && r[i] != r[j] % 2 dp[j] = sum dp[i] { po i < j, r[i] <= r[j] && r[i]%2 == r[j] % 2} + sum dp[i] { po i < j , r[i] > r[j] */
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 | #include <bits/stdc++.h> using namespace std; //{ #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define FORD(i, a, b) for(int i = (a); i >= (b); --i) #define VAR(v, i) __typeof(i) v=(i) #define all(v) (v).begin(),(v).end() #define FORE(i, c) for(VAR(i, (c).begin()); i != (c).end(); ++i) #define PII pair<int,int> #define st first #define nd second #define pb push_back #define lint long long int #define VI vector<int> #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } }; //{ #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " #define make( x) int (x); scanf("%d",&(x)); #define make2( x, y) int (x), (y); scanf("%d%d",&(x),&(y)); #define make3(x, y, z) int (x), (y), (z); scanf("%d%d%d",&(x),&(y),&(z)); #define make4(x, y, z, t) int (x), (y), (z), (t); scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); #define makev(v,n) VI (v); FOR(i,0,(n)) { make(a); (v).pb(a);} #define IOS ios_base::sync_with_stdio(0) #define HEAP priority_queue #define read( x) scanf("%d",&(x)); #define read2( x, y) scanf("%d%d",&(x),&(y)); #define read3(x, y, z) scanf("%d%d%d",&(x),&(y),&(z)); #define read4(x, y, z, t) scanf("%d%d%d%d",&(x),&(y),&(z),&(t)); #define readv(v,n) FOR(i,0,(n)) { make(a); (v).pb(a);} #define jeb() fflush(stdout); //} const int mod = 1e9 + 7; const int max_n = 300005; int r[max_n]; int ind[max_n]; int mind[max_n]; int rozne; int dp[max_n]; int fen[2][2][300005]; void add(int co, int gdzie, int rem, int dec) { //cerr << "DODAJE co=" << co <<" gdzie="<< gdzie << " rem=" << rem << "dec= " << dec << endl; while (gdzie <= rozne) { fen[rem][dec][gdzie] = (fen[rem][dec][gdzie] + co)%mod; gdzie += gdzie & (-gdzie); } } int ask(int gdzie, int rem, int dec) { //cerr << "PYTAM " << gdzie << " rem=" << rem << "dec= " << dec << endl; int ans = 0; while (gdzie > 0) { ans += fen[rem][dec][gdzie]; gdzie -= gdzie & (-gdzie); ans %= mod; } return ans; } int main() { make(n); makev(v, n); lint pref = 0; vector<PII> vr; vr.pb({0,n}); FOR(i,0,n) { pref += v[i]; r[i] = pref % mod; vr.pb({r[i],i}); } sort(all(vr)); rozne = 0; int act = -1; FOR(i,0,n+1) { if (i == 0 || (vr[i].st != vr[i-1].st)) { rozne++; ind[vr[i].nd] = rozne; } else { ind[vr[i].nd] = ind[vr[i-1].nd]; } } FOR(i,0,n+1) mind[i] = rozne + 1 - ind[i]; FOR(i,0,n+1) { //cerr << r[i] << " " << ind[i] << " " << mind[i] << endl; } dp[0] = 1; add(dp[0], ind[n], 0, 0); add(dp[0], mind[n], 0, 1); FOR(i,0,n) { dp[i+1] = (ask(ind[i], r[i] % 2, 0) + ask(mind[i] - 1, 1-(r[i]%2), 1))%mod; //cerr << "dp["<<(i+1) <<"] = " <<dp[i+1] << endl; add(dp[i+1], ind[i], r[i] % 2 , 0); add(dp[i+1], mind[i], r[i] % 2 , 1); } printf("%d\n", dp[n]); } /* j pasuje i <=> r[i] <= r[j] && r[i] == r[j] % 2 lub r[i] > r[j] && r[i] != r[j] % 2 dp[j] = sum dp[i] { po i < j, r[i] <= r[j] && r[i]%2 == r[j] % 2} + sum dp[i] { po i < j , r[i] > r[j] */ |