import numpy as np

class Combination:
    def __init__(self, n_max, mod=10**9+7):
        # O(n_max + log(mod))
        self.mod = mod
        f = 1
        self.fac = fac = [f]
        for i in range(1, n_max+1):
            f = f * i % mod
            fac.append(f)
        f = pow(f, mod-2, mod)
        self.facinv = facinv = [f]
        for i in range(n_max, 0, -1):
            f = f * i % mod
            facinv.append(f)
        facinv.reverse()

    # "n 要素" は区別できる n 要素
    # "k グループ" はちょうど k グループ

    def __call__(self, n, r):  # self.C と同じ
        return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n-r] % self.mod

    def C(self, n, r):
        if not 0 <= r <= n: return 0
        return self.fac[n] * self.facinv[r] % self.mod * self.facinv[n-r] % self.mod

    def P(self, n, r):
        if not 0 <= r <= n: return 0
        return self.fac[n] * self.facinv[n-r] % self.mod

    def H(self, n, r):
        if (n == 0 and r > 0) or r < 0: return 0
        return self.fac[n+r-1] * self.facinv[r] % self.mod * self.facinv[n-1] % self.mod

    def rising_factorial(self, n, r):  # 上昇階乗冪 n * (n+1) * ... * (n+r-1)
        return self.fac[n+r-1] * self.facinv[n-1] % self.mod

    def stirling_first(self, n, k):  # 第 1 種スターリング数  lru_cache を使うと O(nk)  # n 要素を k 個の巡回列に分割する場合の数
        if n == k: return 1
        if k == 0: return 0
        return (self.stirling_first(n-1, k-1) + (n-1)*self.stirling_first(n-1, k)) % self.mod

    def stirling_second(self, n, k):  # 第 2 種スターリング数 O(k + log(n))  # n 要素を区別のない k グループに分割する場合の数
        if n == k: return 1  # n==k==0 のときのため
        return self.facinv[k] * sum((-1)**(k-m) * self.C(k, m) * pow(m, n, self.mod) for m in range(1, k+1)) % self.mod

    def balls_and_boxes_3(self, n, k):  # n 要素を区別のある k グループに分割する場合の数  O(k + log(n))
        return sum((-1)**(k-m) * self.C(k, m) * pow(m, n, self.mod) for m in range(1, k+1)) % self.mod

    def bernoulli(self, n):  # ベルヌーイ数  lru_cache を使うと O(n**2 * log(mod))
        if n == 0: return 1
        if n % 2 and n >= 3: return 0  # 高速化
        return (- pow(n+1, self.mod-2, self.mod) * sum(self.C(n+1, k) * self.bernoulli(k) % self.mod for k in range(n))) % self.mod

    def faulhaber(self, k, n):  # べき乗和 0^k + 1^k + ... + (n-1)^k
        # bernoulli に lru_cache を使うと O(k**2 * log(mod))  bernoulli が計算済みなら O(k * log(mod))
        return pow(k+1, self.mod-2, self.mod) * sum(self.C(k+1, j) * self.bernoulli(j) % self.mod * pow(n, k-j+1, self.mod) % self.mod for j in range(k+1)) % self.mod

    def lah(self, n, k):  # n 要素を k 個の空でない順序付き集合に分割する場合の数  O(1)
        return self.C(n-1, k-1) * self.fac[n] % self.mod * self.facinv[k] % self.mod

    def bell(self, n, k):  # n 要素を k グループ以下に分割する場合の数  O(k**2 + k*log(mod))
        return sum(self.stirling_second(n, j) for j in range(1, k+1)) % self.mod


import sys
import numpy as np

def garner(A, M, mod):
    # Garner のアルゴリズム
    # 参考: https://math314.hateblo.jp/entry/2015/05/07/014908
    M.append(mod)
    coffs = [1] * len(M)
    constants = np.zeros((len(M),)+A[0].shape, dtype=np.int64)
    for i, (a, m) in enumerate(zip(A, M[:-1])):
        v = (a - constants[i]) * pow(coffs[i], m-2, m) % m
        for j, mm in enumerate(M[i+1:], i+1):
            constants[j] = (constants[j] + coffs[j] * v) % mm
            coffs[j] = coffs[j] * m % mm
    return constants[-1]

def convolve_mod(A, B, mod=10**9+7):
    # 任意 mod 畳み込み
    #mods = [1000003, 1000033, 1000037, 1000039]  # 要素数が 10**3 程度の場合（誤差 6*2+3=15<16  復元 6*4=24>21=9*2+3）
    mods = [100003, 100019, 100043, 100049, 100057]  # 要素数が10**5 程度の場合（誤差 5*2+5=15<16  復元 5*5=25>23=9*2+5）
    #mods = [63097, 63103, 63113, 63127, 63131]  # もっと切り詰める（10**4.8=63096 誤差 4.8*2+5=14.6<16  復元 4.8*5=24>23=9*2+5）
    mods_np = np.array(mods, dtype=np.int32)
    fft, ifft = np.fft.rfft, np.fft.irfft
    a, b = len(A), len(B)
    if a == b == 1:
        return np.array([A[0] * B[0]]) % mod
    n = a + b - 1  # 畳み込みの結果の長さ
    k = 1 << (n - 1).bit_length()  # n 以上の最小の 2 冪
    AB = np.zeros((2, len(mods), k), dtype=np.int64)  # ここの dtype は fft 後の dtype に関係しない
    AB[0, :, :a] = A
    AB[1, :, :b] = B
    AB[:, :, :] %= mods_np[:, None]
    C = ifft(fft(AB[0]) * fft(AB[1]))[:, :n]
    C = ((C + 0.5) % mods_np[:, None]).astype(np.int64)
    return garner(C, mods, mod)

def main():
    mod = 10**9+7
    comb = Combination(10101)
    
    # OEIS A052501
    A = []
    for i in range(5001):
        c = comb(2*i, i) * pow(i+1, mod-2, mod)
        A.append(c * pow(2, i, mod) % mod)
    A = np.array(A)
    
    # (OEIS A126087)
    # B = []
    # T = [1]
    # s = 0
    # for n in range(1, 5003):
    #     T_new = T[1:] + [0, 0]
    #     for i, t in enumerate(T[:-1]):
    #         T_new[i+1] = (T_new[i+1] + t*2) % mod
    #     T_new[0] = (T_new[0]+T[0]) % mod
    #     B.append(T_new[0])
    #     T = T_new
    B = [1, 1, 3, 5, 15, 29, 87, 181, 543, 1181, 3543, 7941, 23823, 54573, 163719, 381333, 1143999, 2699837, 8099511, 19319845, 57959535, 139480397, 418441191, 14536110, 43608330, 426790700, 280372093, 669442763, 8328275, 388935521, 166806556, 139062193, 417186579, 851069935, 553209791, 56037501, 168112503, 267344849, 802034547, 652357957, 957073864, 700539444, 101618318, 396133601, 188400796, 726068788, 178206350, 741117043, 223351115, 742918242, 228754712, 312476430, 937429290, 321447427, 964342281, 33806458, 101419374, 751551908, 254655710, 363399877, 90199624, 156603031, 469809093, 915208994, 745626968, 462850378, 388551127, 246596506, 739789518, 467733091, 403199266, 447059337, 341178004, 278644239, 835932717, 889171503, 667514495, 782338579, 347015723, 245469453, 736408359, 931113934, 793341788, 806025176, 418075514, 217760052, 653280156, 768963093, 306889265, 711216158, 133648460, 910406639, 731219903, 926508572, 779525702, 768155852, 304467542, 326462370, 979387110, 463504958, 390514867, 133036428, 399109284, 590456714, 771370135, 483338560, 450015673, 888488321, 665464949, 350083538, 50250607, 118756719, 356270157, 661690728, 985072177, 23869570, 71608710, 38222864, 114668592, 366500311, 99500926, 572394560, 717183673, 709028776, 127086314, 639656744, 918970225, 900643476, 701930414, 382964607, 148893814, 250036934, 750110802, 219858937, 659576811, 916791044, 750373118, 157680701, 473042103, 487635248, 462905737, 404083031, 212249086, 590446235, 771338698, 6013544, 18040632, 991399340, 974198006, 990849114, 972547328, 558168879, 674506630, 801159551, 403478639, 158070240, 474210720, 809129432, 427388282, 866168462, 598505372, 788433413, 365300225, 674421938, 23265800, 831193374, 493580108, 34565782, 103697346, 510567483, 531702442, 767728249, 303184733, 404642877, 213928624, 853165051, 559495139, 296074444, 888223332, 256370401, 769111203, 929943512, 789830522, 312639125, 937917375, 495300751, 485902246, 972025833, 916077485, 766239658, 298718960, 912963713, 738891125, 637708625, 913125868, 178553316, 535659948, 430788617, 292365844, 288710724, 866132172, 812694564, 438083678, 768129860, 304389566, 442776557, 328329664, 314589440, 943768320, 1868510, 5605530, 833714184, 501142538, 404937555, 214812658, 978572016, 935716034, 324168948, 972506844, 197285144, 591855432, 632087160, 896261473, 377752714, 133258135, 882603909, 647811713, 807878557, 423635657, 722338539, 167015603, 789937499, 369812483, 339651082, 18953239, 44648793, 133946379, 103702425, 311107275, 978041817, 934125437, 122643334, 367930002, 355736134, 67208395, 436516581, 309549736, 107629577, 322888731, 111327069, 333981207, 367739160, 103217473, 894366798, 683100380, 390949155, 172847458, 219945373, 659836119, 802910542, 408731612, 898291568, 694874690, 491207321, 473621956, 696998132, 90994382, 24477213, 73431639, 121003549, 363010647, 656403179, 969209530, 302011238, 906033714, 621477008, 864431017, 217130939, 651392817, 919981289, 759943853, 243207256, 729621768, 265163174, 795489522, 263176272, 789528816, 59189222, 177567666, 310716811, 932150433, 860725050, 582175136, 153427859, 460283577, 197672923, 593018769, 925701914, 777105728, 652750427, 958251274, 407430445, 222291328, 96759999, 290279997, 472290021, 416870056, 456902630, 370707883, 514234291, 542702866, 44831399, 134494197, 788216213, 364648625, 724873033, 174619085, 938751738, 816255200, 911804344, 735413018, 267341221, 802023663, 75547515, 226642545, 802404278, 407212820, 387611837, 162835504, 131495508, 394486524, 51974757, 155924271, 581030990, 743092963, 341540130, 24620383, 679956305, 39868901, 431467085, 294401248, 426377279, 279131830, 447213546, 341640631, 410299788, 230899357, 162936579, 488809737, 853235231, 559705679, 906282997, 718848977, 433049831, 299149486, 248134475, 744403425, 260998812, 782996436, 102778462, 308335386, 43466084, 130398252, 836558177, 509674517, 390595580, 171786733, 243051360, 729154080, 221249400, 663748200, 549684743, 649054222, 378848148, 136544437, 963222440, 889667306, 935582264, 806746778, 588678111, 766034326, 315651076, 946953228, 980147809, 940443413, 994332441, 982997309, 322308459, 966925377, 187412112, 562236336, 411227448, 233682337, 234787384, 704362152, 987025193, 961075565, 550680030, 652040083, 735699850, 207099536, 721841180, 165523526, 651373967, 954121894, 564548234, 693644695, 245325054, 735975162, 650015809, 950047420, 623248003, 869744002, 778245844, 334737518, 38880247, 116640741, 950632187, 851896547, 869900167, 609700487, 187475200, 562425600, 213226770, 639680310, 998418232, 995254682, 270537038, 811611114, 757588227, 272764667, 660180124, 980540365, 252273970, 756821910, 325744671, 977234013, 302411523, 907234569, 576250102, 728750299, 57669416, 173008248, 551377419, 654132250, 829342660, 488027966, 710350562, 131051672, 176820813, 530462439, 783704896, 351114674, 198458213, 595374639, 834136739, 502410203, 805847845, 417543521, 443379759, 330139270, 90917952, 272753856, 599823090, 799469263, 413222975, 239668918, 144460903, 433382709, 601204964, 803614885, 448059198, 344177587, 454947208, 364841617, 864306956, 592920854, 747741645, 243224921, 983058532, 949175582, 936669048, 810007130, 130475154, 391425462, 39612605, 118837815, 695662137, 86986397, 822843470, 468530396, 946427128, 839281370, 255503173, 766509519, 229624121, 688872363, 161353001, 484059003, 269517079, 808551237, 873505478, 620516420, 137322910, 411968730, 784746535, 354239591, 49559330, 148677990, 200201278, 600603834, 784173380, 352520126, 212998867, 638996601, 850942476, 552827414, 839727494, 519182468, 399144292, 197432869, 677184264, 31552778, 594283177, 782849524, 3359066, 10077198, 375315202, 125945599, 926652803, 779958395, 840982921, 522948749, 274287637, 822862911, 364115072, 92345209, 178248998, 534746994, 62782906, 188348718, 10125159, 30375477, 43887369, 131662107, 304864555, 914593665, 282228246, 846684738, 104136462, 312409386, 686230526, 58691564, 897378751, 692136239, 211389162, 634167486, 417400716, 252202141, 253725498, 761176494, 844235022, 532705052, 698197612, 94592822, 712703222, 138109652, 151547059, 454641177, 651680234, 955040695, 840416712, 521250122, 806164857, 418494557, 101365696, 304097088, 761871457, 285614357, 928674409, 786023213, 125634495, 376903485, 184891139, 554673417, 433130722, 299392159, 754361926, 263085764, 336116396, 8349181, 310182871, 930548613, 20803768, 62411304, 903887117, 711661337, 762524523, 287573555, 577943215, 733829638, 313360112, 940080336, 15401226, 46203678, 949589565, 848768681, 199490340, 598471020, 349286863, 47860582, 827361518, 482084540, 912565509, 737696513, 250091996, 750275988, 807546653, 422639945, 274312568, 822937704, 313920570, 941761710, 438256149, 314768440, 715946919, 147840743, 708184656, 124553954, 709450316, 128350934, 602912754, 808738255, 353276312, 59828929, 372316580, 116949733, 829807418, 489422240, 169471503, 508414509, 566612519, 699837550, 385444665, 156333988, 352646463, 57939382, 247283608, 741850824, 401332811, 203998426, 619129613, 857388832, 170263752, 510791256, 526977653, 580932952, 462744735, 388234198, 407180751, 221542246, 656084248, 968252737, 728293306, 184879904, 752883294, 258649868, 450584106, 351752311, 544584862, 633754579, 84125473, 252376419, 447933212, 343799629, 95435131, 286305393, 731771271, 195313799, 20328427, 60985281, 361240842, 83722519, 671191928, 13575770, 552408286, 657224851, 721691592, 165074762, 86664420, 259993260, 456306417, 368919244, 793693842, 381081512, 787459772, 362379302, 860542956, 581628854, 654181651, 962544946, 216378666, 649135998, 532060672, 596182009, 460056948, 380170837, 862718225, 588154661, 252908380, 758725140, 279625799, 838877397, 535715980, 607147933, 269563916, 808691748, 945918035, 837754091, 154676574, 464029722, 768010428, 304031270, 271643342, 814930026, 110953311, 332859933, 965265027, 895795067, 882236267, 646708787, 492546420, 477639253, 204787729, 614363187, 340705793, 22117372, 79879902, 239639706, 302378339, 907135017, 305516802, 916550406, 500477224, 501431665, 953235840, 859707506, 81378462, 244135386, 574381658, 723144967, 931558832, 794676482, 756497113, 269491325, 950994207, 852982607, 990111656, 970334954, 462489386, 387468151, 478171028, 434513077, 102475005, 307425015, 450609266, 351827791, 640646720, 921940153, 660057217, 980171644, 97697070, 293091210, 410926792, 232780369, 533061691, 599185066, 94814348, 284443044, 591486759, 774460270, 589619088, 768857257, 918123849, 754371533, 121590764, 364772292, 869989984, 609969938, 239578028, 718734084, 875679310, 627037916, 993016613, 979049825, 919450736, 758352194, 720465230, 161395676, 14094036, 42282108, 302863303, 908589909, 889845328, 669535970, 842381777, 527145317, 157554451, 472663353, 883942031, 651826079, 822031415, 466094231, 651596042, 954788119, 942244314, 826732928, 937139369, 811418093, 939819798, 819459380, 809309210, 427927616, 265476219, 796428657, 134406054, 403218162, 192495846, 577487538, 299304152, 897912456, 981349311, 944047919, 477280763, 431842282, 471595163, 414785482, 413970278, 241910827, 992082790, 976248356, 225352248, 676056744, 572688272, 718064809, 558721284, 676163845, 130616084, 391848252, 832010676, 496032014, 115697611, 347092833, 93633934, 280901802, 129239903, 387719709, 307560046, 922680138, 95962188, 287886564, 879296072, 637888202, 149432400, 448297200, 527040480, 581121433, 601048956, 803146861, 950705902, 852117692, 871578487, 614735447, 82754093, 248262279, 660332026, 980996071, 893804061, 681412169, 88468414, 265405242, 33221238, 99663714, 939731968, 819195890, 739972718, 219918140, 749040710, 247122116, 801563550, 404690636, 236630755, 709892265, 624978250, 874934743, 440020363, 320061082, 364356548, 93069637, 155150738, 465452214, 371715422, 115146259, 202060610, 606181830, 827636133, 482908385, 538831212, 616493629, 378941971, 136825906, 263812232, 791436696, 618404108, 855212317, 153915113, 461745339, 298303841, 894911523, 113284130, 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    # dp[i][j][k] := i 文字目まで見て、j 文字できてて、k 文字は余計に打ってて後で消す
    N = int(input())
    S = input()
    J = len(S)
    
    half = N//2+1
    L = np.array(B[:half*2], dtype=np.int64)
    step = 2
    J_ = J
    while J_:
        if J_%2:
            if (N-J)%2==0:
                L[::2] = convolve_mod(L[::2], A)[:half]
            else:
                L[1::2] = convolve_mod(L[1::2], A)[:half]
            L %= mod
        J_ //= 2
        A = convolve_mod(A, A)[:half*2] % mod
    print(L[N-J])

main()


Measured memory_bytes: 33128