#include<stdio.h>
#include<iostream>
#include<vector>
#include<algorithm>
#include<string>
#include<string.h>
using namespace std;

typedef long long LL;
typedef vector<int> VI;

#define REP(i,n) for(int i=0, i##_len=(n); i<i##_len; ++i)
#define EACH(i,c) for(__typeof((c).begin()) i=(c).begin(),i##_end=(c).end();i!=i##_end;++i)
#define eprintf(...) fprintf(stderr, __VA_ARGS__)

template<class T> inline void amin(T &x, const T &y) { if (y<x) x=y; }
template<class T> inline void amax(T &x, const T &y) { if (x<y) x=y; }
template<class Iter> void rprintf(const char *fmt, Iter begin, Iter end) {
    for (bool sp=0; begin!=end; ++begin) { if (sp) putchar(' '); else sp = true; printf(fmt, *begin); }
    putchar('\n');
}
template<unsigned MOD> struct ModInt {
    static const unsigned static_MOD = MOD;
    unsigned x;
    void undef() { x = (unsigned)-1; }
    bool isnan() const { return x == (unsigned)-1; }
    inline int geti() const { return (int)x; }
    ModInt() { x = 0; }
    ModInt(const ModInt &y) { x = y.x; }
    ModInt(int y) { if (y<0 || (int)MOD<=y) y %= (int)MOD; if (y<0) y += MOD; x=y; }
    ModInt(unsigned y) { if (MOD<=y) x = y % MOD; else x = y; }
    ModInt(long long y) { if (y<0 || MOD<=y) y %= MOD; if (y<0) y += MOD; x=y; }
    ModInt(unsigned long long y) { if (MOD<=y) x = y % MOD; else x = y; }
    ModInt &operator+=(const ModInt y) { if ((x += y.x) >= MOD) x -= MOD; return *this; }
    ModInt &operator-=(const ModInt y) { if ((x -= y.x) & (1u<<31)) x += MOD; return *this; }
    ModInt &operator*=(const ModInt y) { x = (unsigned long long)x * y.x % MOD; return *this; }
    ModInt &operator/=(const ModInt y) { x = (unsigned long long)x * y.inv().x % MOD; return *this; }
    ModInt operator-() const { return (x ? MOD-x: 0); }

    ModInt inv() const {
	unsigned a = MOD, b = x; int u = 0, v = 1;
	while (b) {
	    int t = a / b;
	    a -= t * b; swap(a, b);
	    u -= t * v; swap(u, v);
	}
	if (u < 0) u += MOD;
	return ModInt(u);
    }
    ModInt pow(long long y) const {
	ModInt b = *this, r = 1;
	if (y < 0) { b = b.inv(); y = -y; }
	for (; y; y>>=1) {
	    if (y&1) r *= b;
	    b *= b;
	}
	return r;
    }
    friend ModInt operator+(ModInt x, const ModInt y) { return x += y; }
    friend ModInt operator-(ModInt x, const ModInt y) { return x -= y; }
    friend ModInt operator*(ModInt x, const ModInt y) { return x *= y; }
    friend ModInt operator/(ModInt x, const ModInt y) { return x *= y.inv(); }
    friend bool operator<(const ModInt x, const ModInt y) { return x.x < y.x; }
    friend bool operator==(const ModInt x, const ModInt y) { return x.x == y.x; }
    friend bool operator!=(const ModInt x, const ModInt y) { return x.x != y.x; }
};

const LL MOD = 1000000007;
typedef ModInt<MOD> Mint;

const int MAXN = 300011;
int N;
char S[MAXN];
Mint dp[MAXN][3][7];
// 0 1 2 3
// 4 5
// 6

void MAIN() {
    scanf("%s", S);
    N = strlen(S);

    dp[0][0][6] = 1;
    for (int i=0; i<N; i++) {
	if (S[i] != '1') {
	    REP (a, 3) {
		dp[i+1][a][4] += dp[i][a][6];

		dp[i+1][a][0] += dp[i][a][4];
		dp[i+1][a][2] += dp[i][a][5];

		dp[i+1][a][4] += dp[i][a][0];
		dp[i+1][a][4] += dp[i][a][1];
		dp[i+1][a][4] += dp[i][a][2];
	    }
	    REP (a, 2) {
		dp[i+1][a+1][6] += dp[i][a][3];
	    }
	    dp[i+1][2][5] += dp[i][2][3];
	}

	if (S[i] != '0') {
	    REP (a, 2) {
		dp[i+1][a+1][6] += dp[i][a][6];
	    }
	    dp[i+1][2][5] += dp[i][2][6];

	    REP (a, 3) {
		dp[i+1][a][1] += dp[i][a][4];
		dp[i+1][a][3] += dp[i][a][5];
		dp[i+1][a][4] += dp[i][a][0];
	    }

	    REP (a, 2) {
		dp[i+1][a+1][6] += dp[i][a][1];
		dp[i+1][a+1][6] += dp[i][a][2];
		dp[i+1][a+1][6] += dp[i][a][3];
	    }
	    dp[i+1][2][5] += dp[i][2][1];
	    dp[i+1][2][5] += dp[i][2][2];
	    dp[i+1][2][5] += dp[i][2][3];
	}
    }

    Mint ans = 0;
    ans += dp[N][1][6];
    ans += dp[N][2][6];
    ans += dp[N][1][5];
    ans += dp[N][2][5];
    ans += dp[N][2][4];
    ans += dp[N][1][1];
    ans += dp[N][1][2];
    ans += dp[N][1][3];

    printf("%d\n", ans.geti());
}

int main() {
    int TC = 1;
//    scanf("%d", &TC);
    REP (tc, TC) MAIN();
    return 0;
}



Measured memory_bytes: 25088