#include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define pb push_back #define mp make_pair #define all(a) begin(a),end(a) #define FOR(x,val,to) for(int x=(val);x<int((to));++x) #define FORE(x,val,to) for(auto x=(val);x<=(to);++x) #define FORR(x,arr) for(auto &x: arr) #define FORS(x,plus,arr) for(auto x = begin(arr)+(plus); x != end(arr); ++x) #define FORREV(x,plus,arr) for(auto x = (arr).rbegin()+(plus); x !=(arr).rend(); ++x) #define REE(s_) {cout<<s_<<'\n';exit(0);} #define GET(arr) for(auto &i: (arr)) sc(i) #define whatis(x) cerr << #x << " is " << (x) << endl; #define e1 first #define e2 second #define INF 0x7f7f7f7f typedef std::pair<int,int> pi; typedef std::vector<int> vi; typedef std::vector<std::string> vs; typedef int64_t ll; typedef uint64_t ull; #define umap unordered_map #define uset unordered_set using namespace std; using namespace __gnu_pbds; #ifdef ONLINE_JUDGE #define whatis(x) ; #endif #ifdef _WIN32 #define getchar_unlocked() _getchar_nolock() #define _CRT_DISABLE_PERFCRIT_LOCKS #endif template<class L, class R> ostream& operator<<(ostream &os, map<L, R> P) { for(auto const &vv: P)os<<"("<<vv.first<<","<<vv.second<<")"; return os; } template<class T> ostream& operator<<(ostream &os, set<T> V) { os<<"[";for(auto const &vv:V)os<<vv<<","; os<<"]"; return os; } template<class T> ostream& operator<<(ostream &os, vector<T> V) { os<<"[";for(auto const &vv:V)os<<vv<<","; os<<"]"; return os; } template<class L, class R> ostream& operator<<(ostream &os, pair<L, R> P) { os<<"("<<P.first<<","<<P.second<<")"; return os; } inline int fstoi(const string &str){auto it=str.begin();bool neg=0;int num=0;if(*it=='-')neg=1;else num=*it-'0';++it;while(it<str.end()) num=num*10+(*it++-'0');if(neg)num*=-1;return num;} inline void getch(char &x){while(x = getchar_unlocked(), x < 33){;}} inline void getstr(string &str){str.clear(); char cur;while(cur=getchar_unlocked(),cur<33){;}while(cur>32){str+=cur;cur=getchar_unlocked();}} template<typename T> inline bool sc(T &num){ bool neg=0; int c; num=0; while(c=getchar_unlocked(),c<33){if(c == EOF) return false;} if(c=='-'){ neg=1; c=getchar_unlocked(); } for(;c>47;c=getchar_unlocked()) num=num*10+c-48; if(neg) num*=-1; return true;}template<typename T, typename ...Args> inline void sc(T &num, Args &...args){ bool neg=0; int c; num=0; while(c=getchar_unlocked(),c<33){;} if(c=='-'){ neg=1; c=getchar_unlocked(); } for(;c>47;c=getchar_unlocked()) num=num*10+c-48; if(neg) num*=-1; sc(args...); } template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; //s.find_by_order(), s.order_of_key() <- works like lower_bound template<typename T> using ordered_map = tree<T, int, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #define N 300003 constexpr int mod = 1e9 + 7; #define int ll /* ll t[N + 1]; */ /* ll t[2][N + 1]; */ int t[2][N + 1]; //1 INDEXED, increment in function if needed template<int ind> inline void upd(int pos, int val){ //val is delta ++pos; for(;pos <= N;pos += pos & (-pos)){ t[ind][pos] += val; t[ind][pos] %= mod; /* if(t[ind][pos] >= mod) */ /* t[ind][pos] -= mod; */ } } template<int ind> inline int query(int r){ //[0,r] ++r; int ret = 0; for(;r > 0;r -= r & (-r)){ ret += t[ind][r]; ret %= mod; /* if(ret >= mod) */ /* ret -= mod; */ } return ret; } /* int main(){ */ int32_t main(){ ios_base::sync_with_stdio(0);cin.tie(0); /* FOR(i,1,100){ */ /* /1* FOR(x,1,100){ *1/ */ /* FOR(x,1,i){ */ /* int orig = (i - x) / mod; */ /* int nw = i / mod - x / mod - (i % mod - x % mod < 0); */ /* cout << i << ' ' << x << ": " << orig << ' ' << nw << '\n'; */ /* assert(orig == nw); */ /* } */ /* } */ int n; sc(n); ++n; /* int a[n+1]; */ int a[n]; a[0] = 0; FOR(i,1,n) sc(a[i]); /* GET(a); */ ll pre[n]; pre[0] = a[0]; vector<ll> vec{0, a[0]}; FOR(i,1,n){ pre[i] = pre[i - 1] + a[i]; // nie chcę % mod, bo w końcu dzielę przez mod też. /* if(pre[i] >= mod) */ /* pre[i] -= mod; */ /* vec.push_back(pre[i]); */ // tutaj chcę % mod vec.push_back(pre[i] % mod); } sort(all(vec)); vec.erase(unique(all(vec)),vec.end()); int preord[n]; FOR(i,0,n){ // do the lower_bound opt obv xdd /* preord[i] = lower_bound(all(vec), pre[i]) - vec.begin(); */ preord[i] = lower_bound(all(vec), pre[i] % mod) - vec.begin(); } ll dp[n]; dp[0] = 1; upd<0>(0, 1); FOR(i,1,n){ dp[i] = 0; /* ll prmod = pre[i] % mod; */ /* FOR(x,0,i){ */ /* if((pre[i] - pre[x]) % mod % 2 == 0){ */ /* dp[i] += dp[x]; */ /* } */ /* } */ ll fixdown = (pre[i] & 1) + ((pre[i] / mod) & 1); if(fixdown % 2 == 0){ /* dp[i] += query<1>(300001) - (preord[i] > 0 ? query<1>(preord[i] - 1) : 0); */ dp[i] += query<1>(300001) - query<1>(preord[i]); // preord[x] > preord[i] dp[i] += query<0>(preord[i]); // pre[i] % mod >= pre[x] % mod, czyli 0 + 0 + 0. /* upd<0>(prmod, dp[i]); */ dp[i] %= mod; upd<0>(preord[i], dp[i]); } else{ dp[i] += query<0>(300001) - query<0>(preord[i]); dp[i] += query<1>(preord[i]); dp[i] %= mod; upd<1>(preord[i], dp[i]); } /* FOR(x,0,i){ */ /* ll fixdoth = (pre[x] & 1) - ((pre[x] / mod) & 1); */ /* ll sth = fixdown + fixdoth - (pre[i] % mod < pre[x] % mod); */ /* if(sth % 2 == 0) */ /* dp[i] += dp[x]; */ /* } */ } dp[n - 1] += mod; dp[n - 1] %= mod; cout << dp[n - 1] << '\n'; }
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 | #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define pb push_back #define mp make_pair #define all(a) begin(a),end(a) #define FOR(x,val,to) for(int x=(val);x<int((to));++x) #define FORE(x,val,to) for(auto x=(val);x<=(to);++x) #define FORR(x,arr) for(auto &x: arr) #define FORS(x,plus,arr) for(auto x = begin(arr)+(plus); x != end(arr); ++x) #define FORREV(x,plus,arr) for(auto x = (arr).rbegin()+(plus); x !=(arr).rend(); ++x) #define REE(s_) {cout<<s_<<'\n';exit(0);} #define GET(arr) for(auto &i: (arr)) sc(i) #define whatis(x) cerr << #x << " is " << (x) << endl; #define e1 first #define e2 second #define INF 0x7f7f7f7f typedef std::pair<int,int> pi; typedef std::vector<int> vi; typedef std::vector<std::string> vs; typedef int64_t ll; typedef uint64_t ull; #define umap unordered_map #define uset unordered_set using namespace std; using namespace __gnu_pbds; #ifdef ONLINE_JUDGE #define whatis(x) ; #endif #ifdef _WIN32 #define getchar_unlocked() _getchar_nolock() #define _CRT_DISABLE_PERFCRIT_LOCKS #endif template<class L, class R> ostream& operator<<(ostream &os, map<L, R> P) { for(auto const &vv: P)os<<"("<<vv.first<<","<<vv.second<<")"; return os; } template<class T> ostream& operator<<(ostream &os, set<T> V) { os<<"[";for(auto const &vv:V)os<<vv<<","; os<<"]"; return os; } template<class T> ostream& operator<<(ostream &os, vector<T> V) { os<<"[";for(auto const &vv:V)os<<vv<<","; os<<"]"; return os; } template<class L, class R> ostream& operator<<(ostream &os, pair<L, R> P) { os<<"("<<P.first<<","<<P.second<<")"; return os; } inline int fstoi(const string &str){auto it=str.begin();bool neg=0;int num=0;if(*it=='-')neg=1;else num=*it-'0';++it;while(it<str.end()) num=num*10+(*it++-'0');if(neg)num*=-1;return num;} inline void getch(char &x){while(x = getchar_unlocked(), x < 33){;}} inline void getstr(string &str){str.clear(); char cur;while(cur=getchar_unlocked(),cur<33){;}while(cur>32){str+=cur;cur=getchar_unlocked();}} template<typename T> inline bool sc(T &num){ bool neg=0; int c; num=0; while(c=getchar_unlocked(),c<33){if(c == EOF) return false;} if(c=='-'){ neg=1; c=getchar_unlocked(); } for(;c>47;c=getchar_unlocked()) num=num*10+c-48; if(neg) num*=-1; return true;}template<typename T, typename ...Args> inline void sc(T &num, Args &...args){ bool neg=0; int c; num=0; while(c=getchar_unlocked(),c<33){;} if(c=='-'){ neg=1; c=getchar_unlocked(); } for(;c>47;c=getchar_unlocked()) num=num*10+c-48; if(neg) num*=-1; sc(args...); } template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>; //s.find_by_order(), s.order_of_key() <- works like lower_bound template<typename T> using ordered_map = tree<T, int, less<T>, rb_tree_tag, tree_order_statistics_node_update>; #define N 300003 constexpr int mod = 1e9 + 7; #define int ll /* ll t[N + 1]; */ /* ll t[2][N + 1]; */ int t[2][N + 1]; //1 INDEXED, increment in function if needed template<int ind> inline void upd(int pos, int val){ //val is delta ++pos; for(;pos <= N;pos += pos & (-pos)){ t[ind][pos] += val; t[ind][pos] %= mod; /* if(t[ind][pos] >= mod) */ /* t[ind][pos] -= mod; */ } } template<int ind> inline int query(int r){ //[0,r] ++r; int ret = 0; for(;r > 0;r -= r & (-r)){ ret += t[ind][r]; ret %= mod; /* if(ret >= mod) */ /* ret -= mod; */ } return ret; } /* int main(){ */ int32_t main(){ ios_base::sync_with_stdio(0);cin.tie(0); /* FOR(i,1,100){ */ /* /1* FOR(x,1,100){ *1/ */ /* FOR(x,1,i){ */ /* int orig = (i - x) / mod; */ /* int nw = i / mod - x / mod - (i % mod - x % mod < 0); */ /* cout << i << ' ' << x << ": " << orig << ' ' << nw << '\n'; */ /* assert(orig == nw); */ /* } */ /* } */ int n; sc(n); ++n; /* int a[n+1]; */ int a[n]; a[0] = 0; FOR(i,1,n) sc(a[i]); /* GET(a); */ ll pre[n]; pre[0] = a[0]; vector<ll> vec{0, a[0]}; FOR(i,1,n){ pre[i] = pre[i - 1] + a[i]; // nie chcę % mod, bo w końcu dzielę przez mod też. /* if(pre[i] >= mod) */ /* pre[i] -= mod; */ /* vec.push_back(pre[i]); */ // tutaj chcę % mod vec.push_back(pre[i] % mod); } sort(all(vec)); vec.erase(unique(all(vec)),vec.end()); int preord[n]; FOR(i,0,n){ // do the lower_bound opt obv xdd /* preord[i] = lower_bound(all(vec), pre[i]) - vec.begin(); */ preord[i] = lower_bound(all(vec), pre[i] % mod) - vec.begin(); } ll dp[n]; dp[0] = 1; upd<0>(0, 1); FOR(i,1,n){ dp[i] = 0; /* ll prmod = pre[i] % mod; */ /* FOR(x,0,i){ */ /* if((pre[i] - pre[x]) % mod % 2 == 0){ */ /* dp[i] += dp[x]; */ /* } */ /* } */ ll fixdown = (pre[i] & 1) + ((pre[i] / mod) & 1); if(fixdown % 2 == 0){ /* dp[i] += query<1>(300001) - (preord[i] > 0 ? query<1>(preord[i] - 1) : 0); */ dp[i] += query<1>(300001) - query<1>(preord[i]); // preord[x] > preord[i] dp[i] += query<0>(preord[i]); // pre[i] % mod >= pre[x] % mod, czyli 0 + 0 + 0. /* upd<0>(prmod, dp[i]); */ dp[i] %= mod; upd<0>(preord[i], dp[i]); } else{ dp[i] += query<0>(300001) - query<0>(preord[i]); dp[i] += query<1>(preord[i]); dp[i] %= mod; upd<1>(preord[i], dp[i]); } /* FOR(x,0,i){ */ /* ll fixdoth = (pre[x] & 1) - ((pre[x] / mod) & 1); */ /* ll sth = fixdown + fixdoth - (pre[i] % mod < pre[x] % mod); */ /* if(sth % 2 == 0) */ /* dp[i] += dp[x]; */ /* } */ } dp[n - 1] += mod; dp[n - 1] %= mod; cout << dp[n - 1] << '\n'; } |