#include <cstdio> #include <cstring> #include <cmath> #include <cassert> #include <iostream> #include <algorithm> #include <iterator> #include <string> #include <vector> #include <queue> #include <bitset> #include <utility> #include <stack> using namespace std; typedef long long LL; typedef pair<int,int> PII; typedef vector<int> VI; #define MP make_pair #define FOR(v,p,k) for(int v=(p);v<=(k);++v) #define FORD(v,p,k) for(int v=(p);v>=(k);--v) #define REP(i,n) for(int i=0;i<(n);++i) #define VAR(v,i) __typeof(i) v=(i) #define FOREACH(i,c) for(VAR(i,(c).begin());i!=(c).end();++i) #define PB push_back #define ST first #define ND second #define SIZE(x) (int)x.size() #define ALL(c) c.begin(),c.end() #define ODD(x) ((x)%2) #define EVEN(x) (!(ODD(x))) const int P = 1000000007; int main() { int n; scanf("%d\n", &n); VI a; a.reserve(n); int mx = 0; REP(i, n) { int aa; scanf("%d", &aa); mx = max(mx, aa); a.PB(aa); } int res = 0; if (mx <= (P - 1) / n) { VI dp(2); REP(i, n) { if (a[i] % 2) { swap(dp[0], dp[1]); } else { dp[0] *= 2; dp[0] %= P; } } res = dp[0]; } else { vector<LL> pref_sums(n); LL cumsum = 0; REP(i, n) { cumsum += a[i]; pref_sums[i] = cumsum; } vector<VI> dp(n, VI(2)); dp[0][a[0] % 2] = 1; //printf("dp[%d]=%d %d\n", 0, dp[0][0], dp[0][1]); FOR(i, 1, n-1) { int d = (pref_sums[i] % P) % 2; dp[i][d] = 1; REP(j, i) { int diff = (((pref_sums[i] - pref_sums[j]) % P) % 2); int prev0 = dp[j][0]; dp[i][diff] += prev0; dp[i][diff] %= P; } //printf("dp[%d]=%d %d\n", i, dp[i][0], dp[i][1]); } res = dp[n-1][0]; } printf("%d\n", res); 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 | #include <cstdio> #include <cstring> #include <cmath> #include <cassert> #include <iostream> #include <algorithm> #include <iterator> #include <string> #include <vector> #include <queue> #include <bitset> #include <utility> #include <stack> using namespace std; typedef long long LL; typedef pair<int,int> PII; typedef vector<int> VI; #define MP make_pair #define FOR(v,p,k) for(int v=(p);v<=(k);++v) #define FORD(v,p,k) for(int v=(p);v>=(k);--v) #define REP(i,n) for(int i=0;i<(n);++i) #define VAR(v,i) __typeof(i) v=(i) #define FOREACH(i,c) for(VAR(i,(c).begin());i!=(c).end();++i) #define PB push_back #define ST first #define ND second #define SIZE(x) (int)x.size() #define ALL(c) c.begin(),c.end() #define ODD(x) ((x)%2) #define EVEN(x) (!(ODD(x))) const int P = 1000000007; int main() { int n; scanf("%d\n", &n); VI a; a.reserve(n); int mx = 0; REP(i, n) { int aa; scanf("%d", &aa); mx = max(mx, aa); a.PB(aa); } int res = 0; if (mx <= (P - 1) / n) { VI dp(2); REP(i, n) { if (a[i] % 2) { swap(dp[0], dp[1]); } else { dp[0] *= 2; dp[0] %= P; } } res = dp[0]; } else { vector<LL> pref_sums(n); LL cumsum = 0; REP(i, n) { cumsum += a[i]; pref_sums[i] = cumsum; } vector<VI> dp(n, VI(2)); dp[0][a[0] % 2] = 1; //printf("dp[%d]=%d %d\n", 0, dp[0][0], dp[0][1]); FOR(i, 1, n-1) { int d = (pref_sums[i] % P) % 2; dp[i][d] = 1; REP(j, i) { int diff = (((pref_sums[i] - pref_sums[j]) % P) % 2); int prev0 = dp[j][0]; dp[i][diff] += prev0; dp[i][diff] %= P; } //printf("dp[%d]=%d %d\n", i, dp[i][0], dp[i][1]); } res = dp[n-1][0]; } printf("%d\n", res); return 0; } |